What is the input value other than -7, for which h(x)=3

Answers

Answer 1

The input value is 7 for which h(x) = 3x-14 is equal to 0.

Describe Graph?

Graphs are visual representations of data that show how any two variables relate to one another. Without requiring a lot of words, they are frequently used to communicate complex and large amounts of data. A specific amount of data must be gathered through surveys or experiments before a graph may be created.

The graph's vertices

y is the coordinate

3, (−7,3), (5,3)

Otherwise put,

h(−7)=h(5)=x

The correct answer is x=5.

Essential Elements of a Graph.

choosing a graph that can accurately depict the kind of data generated

The horizontal axis (X-axis indicates the independent variable) and the vertical axis are the axes and scales (Y-axis represents the dependent variable).

Equally significant is the graph's caption, which explains the premise on which the graph was created without offering any interpretation or analysis of the data.

Pie charts are used to display data in groupings. The percentage of values is used to divide the full pie chart into segments. When there are only a few groups—say, six or fewer—pie charts are utilized.b

In a bar graph, both horizontal and vertical columns are used to plot the data. Higher values are represented by bars with longer lengths. As an illustration, consider the rising crop yield each year. When there are significant variances across categories, bar graphs are typically employed.

Line graph - A line graph is similar to a scatter plot, with the exception that it uses a continuous variable along the X-axis, such as time, temperature, height, and weight. For instance, a person's weight gain over a period of weeks.

The points on the graph

y -coordinate is  3, (−7,3), (5,3)  

In other words,  

h(−7)=h(5)=x  

We are asked for an input value other than  −7

so the answer is  x=5

To know more about the coordinate visit:

brainly.com/question/30574507

#SPJ1

The complete question is:

What Is The Input Value Other Than -7, For Which H(x)=3

Related Questions

Evaluate the function

Answers

The values are

a. h(-2) = 20

b. h(-1) = -4

c. h(-x) =x⁴+3x²-8

d. h(3a) = 243a⁴+27a² -8

What is function?

function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

h(x) =x⁴+3x²-8

therefore f(-2) = (-2)⁴ + 3(-2)²-8

= 16+12-8

= 20

h(-1) = (-1)⁴+ 3(-1)²-8

h(-1) = 1+3-8

= -4

h(-x) = (-x)⁴ + 3(-x)² -8

= x⁴+3x²-8

h(3a) = 3(3a)⁴ + 3(3a)² -8

= 243a⁴+27a² -8

learn more about function from

https://brainly.com/question/25638609

#SPJ1

At a large farm supply company, there are 40 tractors. 30% of the tractors are in the warehouse. How many tractors are in the warehouse? You may use any method to represent the problem and solve: 10-square model, 10x10 model, table, or equation. Work:

Answers

Answer:

12 tractors

Step-by-step explanation:

30/100 multiplied by 40 is 0.3 multiplied by 40

This gives you 12.

[tex]\frac{30}{100} \\ = 0.3\\0.3*40 = 12\\[/tex]

Two practic;4les are moving in straight lines. The displacement (in meters) of particle 1 is given by the function e^4cos(x) , where x is seconds. The displacement (in meters) of particle 2 is given by the function -x^3 / 3 -x^2 / 2 where x is seconds. Find the first positive time at which the particles have (approximately) the same velocity
A. x= 1.569
B. x= 0
C. x= 0.588
D. x= 1.011
E. x= 2.366

Answers

The first positive solution is approximately x = 1.011. Therefore, the answer is D. x= 1.011.

Describe Equation.

An equation is a mathematical statement that expresses the equality between two mathematical expressions or values. It is a concise representation of a relationship between two or more variables, which can be represented using symbols or numbers. An equation usually consists of two sides separated by an equal sign, where each side represents a mathematical expression.

Equations are used in various branches of mathematics, science, engineering, and other fields to describe various phenomena and solve problems. They play a crucial role in understanding and describing real-world phenomena, from the laws of physics to the behavior of financial markets. Equations can help us predict outcomes, design solutions, and solve complex problems.

In mathematics, equations are used to solve problems that involve unknown variables. The unknown variables can be found by manipulating the equation to isolate the variable. Solving equations is a fundamental skill in mathematics, and it is often used in fields like physics, chemistry, and engineering.

Equations can be linear or nonlinear, depending on the degree of the variables involved. Linear equations involve variables raised to the first power only, while nonlinear equations involve variables raised to higher powers or are composed of a combination of functions.

In summary, equations are a fundamental tool in mathematics and other fields, which help us describe and understand the relationships between variables and solve problems involving unknown variables.

To find the first positive time at which the particles have approximately the same velocity, we need to find the derivative of the displacement function for each particle, set them equal to each other, and solve for x.

The derivative of the displacement function for particle 1 is:

f'(x) =[tex]-4e^(4[/tex]cos(x))sin(x)

The derivative of the displacement function for particle 2 is:

g'(x) =[tex]-x^2 - x[/tex]

Setting f'(x) equal to g'(x), we get:

[tex]-4e^(4[/tex]cos(x))sin(x) =[tex]-x^2 - x[/tex]

We can solve this equation numerically using a graphing calculator or computer software. The first positive solution is approximately x = 1.011. Therefore, the answer is D. x= 1.011.

To know more about derivatives visit:

brainly.com/question/30466081

#SPJ1

Wright and simplify an expression the perimeter of a rectangle 7.5 and 12y

Answers

Answer:

P = 15 + 24y

Step-by-step explanation:

The perimeter of a rectangle is the sum of the lengths of all four sides. If one side of the rectangle has a length of 7.5 and the other side has a length of 12y, we can write the expression for the perimeter as:

P = 2(7.5) + 2(12y)

Simplifying this expression, we get:

P = 15 + 24y

Therefore, the simplified expression for the perimeter of the rectangle with one side of length 7.5 and the other side of length 12y is 15 + 24y.

You have a total of 49 dimes and quarters. You have 7 more quarters than dimes. How many quarters do you have?

Answers

Answer:

Step-by-step explanation:

Answer:21 dimes and 28 quarters

Step-by-step explanation:

Triangle UVW is similar to triangle XYZ. Find the measure of side XY. Figures are not drawn to scale.

Answers

The triangle XYZ has a scale factor of 2.53 and hence side length XY is

7.6 units.

What is a scale factor?

The scale factor defines a variable in a ratio of two different measurements.

Sometimes drawings of large models are represented in a scale factor of a smaller unit.

Given, The side WV, of the triangle UVX is 6 and the corresponding side XZ  of triangle 15.2.

So, The scale factor is 15.2/6 = 2.53.

Therefore, The side length XY = 3×2.53 = 7.6.

learn more about scale factors here :

https://brainly.com/question/30215119

#SPJ1

What is a characteristic of all cubic functions

Answers

The cubic function is one where the coefficient a, b, c, and d are correlational the variable are real numbers and are polynomial numbers. The function is either one or three real roots. The graph of the function is a cubic curve.

The example of a cubic function is that of  the forms of y = ax3 + bx2 + cx + d, where the a, b, c, and d are constants. The cube root function is inverse to the cube function.  

Hence they are increasing option A is correct.

Learn more about the characteristic of all cubic functions at:

https://brainly.com/question/21684282

#SPJ1

Two trains start from towns 540 mi apart and travel towards each other on parallel track. They pass each other 4.5 hr later. If one train travels 20 mph faster than the other, find the rate of each train

Answers

Let x be the speed of the slower train and x + 20 be the speed of the faster train.

We can use the formula d = rt to solve for the speed of each train.

540 mi = (x)(4.5 hr)
540 mi = (x + 20)(4.5 hr)

Solving for x, we get x = 40 mph and x + 20 = 60 mph.

Therefore, the slower train is traveling at 40 mph and the faster train is traveling at 60 mph.

Please help due in 25 minutes Im in needdddd

Answers

The graph provides a visual representation of the cost of book printing services for each bid, allowing Bruno to easily compare the two options.

Cost Comparison of Book Printing Bids: Bid 7 vs Bid 8

To graph the linear equations, we will use the values in the table to plot points on the coordinate plane, and then connect the points to form lines.

For Bid 7:

X y

0 5

3 50

5 80

7 110

10 155

For Bid 8:

X y

0 40

3 70

5 90

7 110

10 140

We can now plot these points on the coordinate plane and connect them to form two lines. Hence we obtain  Graph of Bid 7 and Bid 8

The x-axis represents the number of books, and the y-axis represents the cost. The title of the graph is "Comparison of Bids for Book Printing Services." We can see that Bid 7 is represented by the blue line, while Bid 8 is represented by the orange line.

To create the legend, we can add a key that explains which line represents which bid. For example, we could add a note at the bottom of the graph that says "Blue line: Bid 7, Orange line: Bid 8."

Overall, the graph provides a visual representation of the cost of book printing services for each bid, allowing Bruno to easily compare the two options.

To know more about graphs representation, visit: https://brainly.com/question/17267403

#SPJ1

A basketball player makes 40% of his shots from the free throw line. Suppose that each of his shots can be considered independent and that he takes 3 shots. Let x = the number of shots that he makes. What is the mean for x?.

Answers

If a basketball player makes 40% of his shots from the free throw line, then the mean for  the number of shots that he makes is 0.928

Since the basketball player makes 40% of his shots from the free throw line and he takes 3 shots, the number of shots he makes, x, can take on the values 0, 1, 2, or 3.

The probability of making a shot is 0.4, so the probability of missing a shot is 0.6. Since each shot is independent, we can use the binomial probability formula to calculate the probability of making x shots:

P(X = x) = (3 choose x) × (0.4)^x × (0.6)^(3-x)

where (3 choose x) is the binomial coefficient that represents the number of ways to choose x items from a set of 3.

To find the mean for x, we need to multiply each possible value of x by its probability and then sum the results:

E(X) = 0 × P(X = 0) + 1 × P(X = 1) + 2 × P(X = 2) + 3 × P(X = 3)

Substituting the binomial probabilities into this formula, we get:

E(X) = 0 × (1) × (0.6)^3 + 1 × (3 choose 1) × (0.4)^1 × (0.6)^2 + 2 × (3 choose 2) × (0.4)^2 × (0.6)^1 + 3 × (1) × (0.4)^3 × (0.6)^0

E(X) = 0 + 0.432 + 0.432 + 0.064

E(X) = 0.928

Learn more about binomial probability here

brainly.com/question/30764478

#SPJ4

The sum of the ages of Farhan and his cousin is 38. Seven years ago, Farhan was thrice as old as his cousin. Find Farhan's present age.

Answers

Answer:

25

Step-by-step explanation:

let farhan's age be x and his cousin's age be y

sum of ages = x + y = 38

7 years ago (so x-7 and y-7), farhan was thrice as old as his cousin, so 3 * his cousin's past age = farhan's past age= 3 *(y-7) = x-7

subtract y from both sides in the first equation to solve for x

x = 38-y

substitute this into the second equation

3 *(y-7) = 38-y-7

3y-21 = 31-y

add y to both sides to put all y values on one side

4y  -21 = 31

add 21 to both sides to solve for y

4y = 52

y = 13

sum of ages = x + y = 38 = 13 + x so x = 25 = 38-13

Booth's fixed assets were used to only 50% of capacity during 2019, but its current assets were at their proper levels in relation to sales. All assets except fixed assets must increase at the same rate as sales, and fixed assets would also have to increase at the same rate if the current excess capacity did not exist. Booth's after-tax profit margin is forecasted to be 5% and its payout ratio to be 60%. What is Booth's additional funds needed (AFN) for the coming year

Answers

Booth's additional funds needed (AFN) for the coming year is $365.

What is additional funds?

Additional Funds Needed (AFN) is a way of calculating how much new funding will be required, so that the firm can realistically look at whether or not they will be able to generate the additional funding and therefore be able to achieve the higher sales level.

Use the following formula to calculate Booth's additional funds needed (AFN) -

AFN = (A*/S)ΔS - (L*/S)ΔS - MS1(RR)

where -

A* = Total assets excluding spontaneous liabilities

S = Sales

ΔS = Increase in sales

L* = Total spontaneous liabilities

MS1 = Net income (1 - RR), where RR is the retention ratio (1 - payout ratio)

Start by calculating A* and L*.

Since we are told that spontaneous liabilities increase at the same rate as sales, we can use the percentages provided to calculate the required increases in each account -

Accounts receivable: ΔAR = 0.5(S1 - S0) = 0.5(2000 - 1000) = 500

Inventories: ΔINV = 0.5(S1 - S0) = 0.5(2000 - 1000) = 500

Accounts payable: ΔAP = 0.5(S1 - S0) = 0.5(1000 - 500) = 250

Accruals: ΔACC = 0.5(S1 - S0) = 0.5(1000 - 500) = 250

A* = Total assets - spontaneous liabilities

= $1000 - ($200 + $50 + $250 + $50 + $250)

= $200

L* = Spontaneous liabilities

= $200 + $50 + $250 + $50

= $550

Next, calculate the increase in fixed assets that would be required if Booth operated at full capacity -

ΔFA = (FCR)(ΔS)

where FCR is the fixed assets capacity ratio, given by -

FCR = Actual sales / Full capacity sales

= $1000 / (2 x $1000)

= 0.5

ΔFA = (0.5)(1000)

= 500

Now calculate AFN using the formula -

AFN = (A*/S)ΔS - (L*/S)ΔS - MS1(RR)

= ($200 / $1000)(1000) - ($550 / $1000)(1000) - ($30)(0.5)

= $365

Therefore, the value is obtained as $365.

To learn more about additional funds from the given link

https://brainly.com/question/14177687

#SPJ1

The Booth Company's sales are forecasted to double from $1,000 in 2016 to $2,000 in 2017. Here is the December 31, 2016, balance sheet:

Cash  $  100  Accounts payable  $   50

Accounts receivable  200  Notes payable  150

Inventories  200  Accruals  50

Net fixed assets  500  Long-term debt  400

Common stock  100

Retained earnings  250

Total assets  $1000  Total liabilities and equity  $1000

Booth's fixed assets were used to only 50% of capacity during 2016, but its current assets were at their proper levels in relation to sales. Spontaneous liabilities and all assets except fixed assets must increase at the same rate as sales, and fixed assets would also have to increase at the same rate if the current excess capacity did not exist. Booth's after-tax profit margin is forecasted to be 3% and its payout ratio to be 50%. What is Booth's additional funds needed (AFN) for the coming year? Round your answer to the nearest dollar.

The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room. Which equations can be used to solve for y, the length of the room? Select three options. y(y + 5) = 750 y2 – 5y = 750 750 – y(y – 5) = 0 y(y – 5) + 750 = 0 (y + 25)(y – 30) = 0

Answers

Answer:The correct equations are y²-5y=750, 750-y(y-5)=0 ,(y+25)(y-30)=0

Step-by-step explanation: Let the length=y

                                                   breadth=y-5

area of rectangle= length*breadth

750=y(y-5)

To know more about quadratic equations:

https://brainly.com/question/27065640      

annie is a person who has no concern for practical aspects in present situations. she bases her decisions on her personal opinions and others' opinions. she acts rapidly and takes risks. she is impatient and changes her mind easily. in this scenario, according to the categories of social styles, annie is likely to be categorized as a(n) . multiple choice question. analytical expressive driver

Answers

Annie's social style, based on the given information, is most likely to be categorized as "expressive".

What is inductive reasoning?

Inductive reasoning is a form of defining determinations by proceeding with patterns specific to the usual. It's generally distinguished from deductive reasoning, where it proceeds from general knowledge to specific conclusions.

Here,
Annie's social style, based on the given information, is most likely to be categorized as "expressive". Expressive individuals are generally spontaneous, impulsive, and energetic. They prioritize personal and social needs over practical considerations and tend to make decisions based on their opinions and feelings, rather than objective data or analysis. They are often outgoing, enthusiastic, and creative, but may also be impatient, easily distracted, and prone to taking risks. This description matches the traits attributed to Annie in the scenario.

Learn more about inductive reasoning here:

brainly.com/question/8419798

#SPJ1

Austin runs 7 miles in 51 minutes.How many minutes does he take per mile?

Answers

Answer:

7 min 48 sec / mile

Step-by-step explanation:

51 min ÷ 7 miles = 7.2857142857142

Rounds to 7

Find the missing coordinate of P, using the fact that P lies on the unit circle in the given quadrant.

Answers

The missing coordinate of P is (−3/7, 5/7).

What does coordinate mean?

In mathematics, coordinates are used in the study of geometry and algebra to describe points, lines, planes and curves. Two or three points can be used to define a line, and a set of points can be used to define a plane. Coordinates can also be used to solve equations or to establish relationships between different figures.

In two-dimensional space, coordinates are usually written as pairs of numbers, such as (x, y). The first number (x) is the horizontal position, and the second number (y) is the vertical position. In three-dimensional space, coordinates are usually written as triples of numbers, such as (x, y, z). The first number (x) is the horizontal position, the second number (y) is the vertical position, and the third number (z) is the depth.

To find the missing coordinate of P, we can use the fact that P lies on the unit circle in quadrant IV. Since the unit circle is centered at (0,0), has a radius of 1, and is in quadrant IV, this means that the x-coordinate of P must be negative.

Since the unit circle has a radius of 1, the coordinates of P must satisfy the equation x2 + (5/7)2 = 1.

We can solve this equation by subtracting (5/7)2 from both sides, then taking the square root of both sides to get:

x2 − (5/7)2 = 1 − (5/7)2

x = √(1 − (5/7)2)

x = √(1 − 25/49)

x = −3/7

Therefore, the missing coordinate of P is (−3/7, 5/7).

To know more about Coordinate, visit:

https://brainly.com/question/17206319

#SPJ1

Please help me solve this question on trigonometry.​

Answers

The trigonometric ratios are given as follows:

a) cos(y) = -0.94.

b) sin(x) = 0.94.

How to obtain the angle measures?

The tree bisects an angle into two equal angle measures, one of which is of 70º and the other of which is of x.

Hence the measure of x is given as follows:

x = 70º.

The sine is given as follows:

sine of 70 degrees = 0.94.

The sum of the measures of the internal angles of a triangle is of 180º, hence the missing internal angle is of 20º.

An internal angle is supplementary with it's external angle, hence the value of y is given as follows:

y = 180 - 20

y = 160º.

Then the cosine is of:

cosine of 160 degrees = -0.94.

More can be learned about angle measures at https://brainly.com/question/30644403

#SPJ1

In the equation 11z = 66 - 11, what is the next step in the equation solving sequence?

Answers

In the equation 11z=66-11, what is the next step in the equation solving sequence?

Two possibilities: You can subtract 66–11 then divide both sides by 11 OR you can divide both sides by 11 and do the subtraction as 6–1. I would usually do it the first way, but some might prefer the second.

please help me with this one

here is the picture

Answers

The value of the composition of functions are

a) f o g ( 5 ) = 1315

b) g o f ( 5 ) = 59

What is Composition of functions?

Evaluation of a function at the value of another function is known as Composition of function. A function composition is a process in which two functions, f and g, form a new function, h, in such a way that h(x) = g(f(x)). This signifies that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.

Given data ,

Let the value of the the function be f ( x ) = x² + 6x

Let the value of the function g ( x ) = x + 4

Now , the composition of functions is given by

f o g ( 5 ) is given by

g ( 5 ) = 5 + 4 = 9

So , the value of f ( 9 ) = ( 9 )² + 6 ( 9 ) = 81 + 54 = 135

Therefore , the value of f o g ( 5 ) = 135

Now , the composition of functions is given by

g o f ( 5 ) is given by

f ( 5 ) = ( 5 )² + 6 ( 5 ) = 25 + 30 = 55

Now , the value of g ( 55 ) = 55 + 4 = 59

Therefore , the value of g o f ( 5 ) = 59

Hence , the composition of functions are solved

To learn more about composition of functions click :

https://brainly.com/question/17673639

#SPJ1

ANSWERS NEEDED ASAP 50 POINTS
1. what is the y-intercept when the coordinate is 9,1 and the slope is 4 8
2. What is the y intercept when the coordinate is -3,-3 and the slope is -1

Answers

1. The y-intercept when the coordinate is 9,1 and the slope is 4 8= -35

2. The y intercept when the coordinate is -3,-3 and the slope is -1= -6

What is the purpose of coordinate geometry?

The term "coordinate geometry" refers to the study of geometry using coordinate points (or analytic geometry). Coordinate geometry allows for a variety of operations, like measuring the distance between two points, segmenting lines into m:n pieces, determining a line's midpoint, calculating a triangle's area in the Cartesian plane, and more.

1.To find the y-intercept, we can use the slope-intercept form of a linear equation: y = mx + b, where m is the slope and b is the y-intercept.

Given the point (9,1) and slope 4 8, we can plug in these values to get:

1 = (4 8)9 + b

Simplifying this equation, we get:

1 = 36 + b

b = -35

Therefore, the y-intercept is -35.

2. Again, using the slope-intercept form of a linear equation, we have:

y = mx + b

Given the point (-3,-3) and slope -1, we can plug in these values to get:

-3 = (-1)(-3) + b

Simplifying this equation, we get:

-3 = 3 + b

b = -6

Therefore, the y-intercept is -6.

To know more about coordinate geometry visit:

https://brainly.com/question/29634141

#SPJ1

can someone please help me

Answers

Using trigonometric ratio, the value of tan V is √7 / 8

What is the value of tan V

To find the value of tan V, we have to use trigonometric ratio.

In the triangle, we have the opposite side and the hypothenuse. We can find the adjacent side using Pythagoras theorem.

Substituting the values into the formula;

w² = v² + x²

(√71)² = (√7)² + x²

71 = 7 + x²

x² = 71 - 7

x² = 64

x = √64

x = 8

The value of tan V;

tan V = opposite /adjacent

tan V = √7 / 8

Learn more on trigonometric ratio here;

https://brainly.com/question/17155803

#SPJ1

Which linear graph represents a proportional relationship? a graph of a line that passes through the points 0 comma 2.5 and 1 comma 4 a graph of a line that passes through the points 0 comma 0 and 4 comma negative 1 a graph of a line that passes through the points 0 comma negative 1 and 1 comma negative 1 a graph of a line that passes through the points 0 comma negative 3 and negative 1 comma negative 2 Question 7(Multiple Choice Worth 2 points)

Answers

A linear graph passes through (0, 0) and (4, 1)  represent a proportional relationship.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Now, For the line passes through (0, 2.5) and (1, 4).

Equation of line is.

⇒ y - 2.5 = (4 - 2.5) / (1 - 0) (x - 0)

⇒ y - 2.5 = 1.5x

⇒ y = 1.5x + 2.5

Hence, It cannot represent a proportional relationship.

For the line passes through (0, 0) and (4, 1).

Equation of line is.

⇒ y - 0 = (1 - 0) / (4 - 0) (x - 0)

⇒ y = 0.25x

Hence, It represent a proportional relationship.

For the line passes through (0, - 1) and (1, - 1).

Equation of line is.

⇒ y - (- 1) = (- 1 - (- 1)) / (1 - 0) (x - 0)

⇒ y + 1 = 0

Hence, It cannot represent a proportional relationship.

For the line passes through (0, 3) and (1, - 2).

Equation of line is.

⇒ y - 3 = (- 2 - 3) / (1 - 0) (x - 0)

⇒ y - 3 = - 5x

⇒ y = - 5x + 3

Hence, It cannot represent a proportional relationship.

Thus, A linear graph passes through (0, 0) and (4, 1)  represent a proportional relationship.

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ1


7. Charles is designing a backsplash with a pattern of
diamond-shaped tiles as shown. If m /1 = 65°,
find m2. Explain your reasoning.

Answers

The measure of angle m2 is 65°, the reason is interior opposite angles.

What is the sum of all the exterior angles of a regular polygon?

For a regular polygon of any number of sides, the sum of its exterior angle is 360° (full angle).

Exterior angle is an measure of rotation between one extended side(we extend it virtually) of the polygon with its adjacent side which is not extended. Also, due to polygon being regular, let it be having 'n' sides, all the exterior angles are of same measure, and therefore, their measure is (360/n)°.

We are given that;

The measure of angle 1= 65°

Now,

By interior opposite angle property

Angle 1 = Angle 2

Substituting the value of angle 1

65°= angle 2

Therefore, by interior angle property the answer will be 65°.

Learn more about interior and exterior angles of a regular polygon here;

https://brainly.com/question/14173422

#SPJ1

PLEASE HELP!!!!!

A marine biologist is studying the growth of a particular species of fish. She writes the following equation to show the length of the fish, f(m), in cm, after m months:

f(m) = 3(1.09)m

Part A: When the marine biologist concluded her study, the length of the fish was approximately 5.98 cm. What is a reasonable domain to plot the growth function? (4 points)

Part B: What does the y-intercept of the graph of the function f(m) represent? (2 points)

Part C: What is the average rate of change of the function f(m) from m = 2 to m = 8, and what does it represent? (4 points)

Answers

The reasonable domain of the growth function is [0, 8], the y-intercept is 3 cm and the average rate of change of the function is 0.40 cm per month.

What is a growth function?

The growth function, also called the shatter coefficient or the shattering number, measures the richness of a set family. It is especially used in the context of statistical learning theory, where it measures the complexity of a hypothesis class.

A marine biologist is studying the growth of a particular species of fish, given by the exponential equation,

f(m) = [tex]3(1.09)^{m}[/tex]

We need to find, reasonable domain to plot the growth function, the y-intercept of the graph of the function f(m) to represent and average rate of change of the function f(m) from m = 1 to m = 9,

f(m) = [tex]3(1.09)^{m}[/tex]

m = 0

f(0) = 3(1.09)⁰  = 3 cm

The length of the fish was approximately 5.98 cm.

5.98 = [tex]3(1.09)^{m}[/tex]

1.99 = [tex](1.09)^m[/tex]

m = 8

Domain = [0, 8]

Reasonable domain to plot the growth function = [0, 8]

The y-intercept of the graph of the function f(m) represent initial length of fish = 3 cm

The average rate of change of the function f(m) from m = 2 to m = 8

m = 2, f(2) = 3(1.09)² = 3.56  cm

m = 8, f(8) = 3(1.09)⁸ = 5.97 cm

Change in 8-2 = 6 months = 5.97-3.56 = 2.41 cm

The rate of change of the function f(m) from m = 2 to 8

= (2.41/6)

= 0.40 cm per month

Hence, the reasonable domain of the growth function is [0, 8], the y-intercept is 3 cm and the average rate of change of the function is 0.40 cm per month.

Learn more about growth function, click;

https://brainly.com/question/12101306

#SPJ1

PLEASE HELP! LIMITED TIME! URGENT!
Part of Thor's job at a nonprofit organization, Rag Na Care, is to simply answer the phone to collect donations. The data collected shows a weak
negative linear relationship between the number of hours he worked each week, a, and the amount of donations in dollars, y, that the organization
collected each week.

a. What does it mean for the relationship between the variables when the correlation is weak in this context?

Answers

Answer:

Sure In this context, a weak negative linear relationship between the number of hours worked and the amount of donations collected means that as the number of hours worked by Thor each week increases, the amount of donations collected by the organization each week decreases, but the relationship is not very strong.

When we say that the correlation between two variables is weak, we mean that there is a low degree of association between them. In this case, the negative correlation suggests that there is a tendency for the amount of donations collected to decrease as the number of hours worked increases, but the relationship is not very strong, meaning that there is a lot of variability in the data and it is difficult to make strong predictions or conclusions based on this relationship alone.

It is important to note that correlation does not necessarily imply causation, so a weak negative linear relationship between the number of hours worked and the amount of donations collected does not necessarily mean that one variable causes the other. Other factors may be influencing the amount of donations collected by the organization each week, and further analysis would be required to determine the nature and strength of these relationships.

Step-by-step explanation:

EG and HJ are parallel lines
Which angles are adjacent angles ?

Answers

The adjacent angles are ∠GFD and ∠JIF. The correct option is D.

What are lines and angles?

The lines and angles are denied as when the two parallel lines are intersected by the transversal lines it forms different types of angles the angles are adjacent angles, supplementary angles, opposite angles, and alternate angles.

The adjacent angle is defined as the angle which is just side by side with another angle.

Here in the given image, the two adjacent angles are ∠GFD and ∠JIF. Because the angle ∠GFD is just in front of the angle ∠JIF.

Therefore, the correct option is D the adjacent angles will be ∠GFD and ∠JIF.

To know more about lines and angles follow

https://brainly.com/question/29026936

#SPJ9

Suppose that you drive 40,000 miles per year and gas averages $4 per gallon what will you save in annual fuel expenses by owning a hybrid car averaging 40 miles per gallon rather than an SUV averaging 16 miles per gallon?

Answers

you would save $6,000 in annual fuel expenses.

What is Average?

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.

Given,  you drive 40,000 miles per year and gas averages $4 per gallon

Since,

Fuel expenses = (Miles driven / Miles per gallon) x Price per gallon

For the SUV, with an average of 16 miles per gallon, the fuel expenses would be:

Fuel expenses for SUV = (40,000 / 16) x 4 = $10,000

For the hybrid car, with an average of 40 miles per gallon, the fuel expenses would be:

Fuel expenses for hybrid car = (40,000 / 40) x 4 = $4,000

To find the difference in fuel expenses between the two vehicles, we subtract the fuel expenses for the hybrid car from the fuel expenses for the SUV:

$10,000 - $4,000 = $6,000

Therefore, by owning a hybrid car averaging 40 miles per gallon instead of an SUV averaging 16 miles per gallon, you would save $6,000 in annual fuel expenses.

Learn more about Average here:

https://brainly.com/question/521501

#SPJ9

ABC~DEF. Find the length of median CP

Answers

The length of median CP is 48.

Describe Triangles?

A triangle is a closed geometric figure that is formed by connecting three straight line segments called sides. These sides meet at three points called vertices. Triangles are one of the simplest and most fundamental shapes in geometry and can be found in many natural and man-made objects.

Triangles can be classified into different types based on their sides and angles.

By sides:

Equilateral triangle: all three sides are equal in length.

Isosceles triangle: two sides are equal in length.

Scalene triangle: all three sides are different in length.

By angles:

Acute triangle: all three angles are acute (less than 90 degrees).

Right triangle: one angle is a right angle (exactly 90 degrees).

Obtuse triangle: one angle is an obtuse angle (greater than 90 degrees).

Triangles have many properties and are used in various fields such as architecture, engineering, physics, and mathematics. They are also commonly used in trigonometry to solve problems involving angles and distances.

Since the triangles are congruent, corresponding sides are equal. So, we have:

AB = DE (corresponding sides)

BC = EF (corresponding sides)

Now, we can use the formula for the length of a median of a triangle, which states that the median to a side of a triangle is half the length of the side that it intersects. Thus, we have:

CP = (1/2) AB

FQ = (1/2) DE

Substituting the values we have for AB and DE, we get:

CP = (1/2) AB = (1/2) DE = FQ

So, we can equate the expressions for CP and FQ, and solve for x:

3x - 12 = 2x + 8

x = 20

Now that we know the value of x, we can substitute it back into either expression for CP or FQ to find the length of CP:

CP = 3x - 12 = 3(20) - 12 = 48

Therefore, the length of median CP is 48.

To know more about expressions visit:

https://brainly.com/question/24242989

#SPJ1

ind the limit of the function f(x,y) = sin(2(x^2 + y^2)))/2(x^2 + y^2) as (x, y) + (0,0). Assume that polynomials, exponentials, logarithmic, and trigonometric functions are continuous. [Hint: limt 40 sint = 1.) lim (x,y)->(0,0) sin(2(x^²+y^2))/2(x^2+y^2) = ____

Answers

The limit of the given function f(x,y) as (x,y) approaches (0,0) is 0.

What is function ?
Function can be defined in which it relates an input to output.

To find the limit of the given function[tex]f(x,y) = sin(2(x^2 + y^2))/(2(x^2 + y^2))[/tex]as [tex](x,y)[/tex] approaches (0,0), we can use the squeeze theorem.

First, note that [tex]sin(2(x^2 + y^2))[/tex]is bounded between -1 and 1 for all (x,y), since the sine function is bounded between -1 and 1. Therefore, we have:

[tex]-1/(2(x^2 + y^2)) < = sin(2(x^2 + y^2))/(2(x^2 + y^2)) < = 1/(2(x^2 + y^2))[/tex]

Next, we can take the limit as (x,y) approaches (0,0) of both sides of this inequality using the squeeze theorem. The left-hand side approaches 0, and the right-hand side approaches 0 as well. Therefore, by the squeeze theorem, we have:

lim (4/3)π(21.03)³- (4/3)π(20.97)³

Hence, the limit of the given function f(x,y) as (x,y) approaches (0,0) is 0.

To learn more about Function from given link.

https://brainly.com/question/12431044

#SPJ1

What are the all the real zeros of the function y = 4(= + 1)^3 + 8?

Answers

The equation has no real solution.

What is Mathematical expression?

Mathematical expression is defined as the collection of the numbers, variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The function is,

⇒ y = 4 (x + 1)³ + 8

Now, All the zeroes are find by substitute y = 0,

⇒ y = 4 (x + 1)³ + 8

⇒ 0 = 4 (x + 1)³ + 8

⇒ 4 (x + 1)³ = - 8

⇒ (x + 1)³ = - 8

⇒ x + 1 = ∛- 8

⇒ x + 1 = ∛8i²

⇒ [tex]x + 1 = 2i^{2/3}[/tex]

⇒ [tex]x = 2i^{2/3} - 1[/tex]

Hence, It has no real solution.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

Other Questions
the angle of elevation from point a to the top of a cliff is 38. if point a is 80 feet from the base of the cliff, how high is the cliff? Solve the equation:f/28=27f=Show step by step please the term afferent which may be used to describe sneosry impulses is defined as what is the general cause of all mitochondrial diseases If a firm takes steps that increase its expected future ROE (return on equity), its stock price will _________ increasea) neverb) not necessarilyc) always A store is offering 20% discounts on new laptops and 10% discounts on new printers when the two are purchased together. The original prices of the two together is at least $1,050. The discounted price exceeds $860. Which system of inequalities can be used to find the possible original prices of a laptop, x, and of a printer, y? Find the values of the variable Why were South Carolinians opposed to the passage of protective tariffs in the early 1800s?A) Tariffs hurt the South by raising the prices of manufactured goods.B) Tariffs prevented Southerners from exporting cotton.C) South Carolinians were opposed to all actions by President Andrew Jackson.D) South Carolinians felt the tariff would harm the growing textile industry. what does determine slope intercept form of the equation Is F2 a polar or nonpolar molecule and why? Electronegativity Values Electronegativity Element fluorine 4.0 Select one: a. F2 is a polar molecule because it has nonbonding electrons. b. F2 is a nonpolar molecule because the F-F bond is nonpolar. c. F2 is a nonpolar molecule because the F-F bond is polar. d. F2 is a polar molecule because the F-F bond is polar what does macbeth do when he hears macduff has fled to england?He enlists Malcoms help in fighting Macduff.He rushes to England to kill him.He orders the murder of Macduffs family.He tries to safeguard Macduffs family now that theyve been abandoned. Where was Callahan Auto Parts? A line that makes up the boundary of an inequality (including the line itself) has points (4, 5),(1, 1) sitting onit, find the inequality (and graph it) given that the point (3, 5) makes the inequality false. a(n) _______ is a bubble with text that appears when the mouse is placed over a link. placeholder smartart text box screentip how to convert pint to ml how does grandmother's world differ from the speaker's at school? what details especiallly reveal those differences What is the concept behind separation of duties in establishing internal control?a. Employee fraud is less likely to occur when access to assets and access to accounting records are separatedb. The company's financial accountant should not share information with the company's tax accountantc. Duties of middle-level managers of the company should be clearly separated from those of top executivesd. The external auditors of the company should have no contact with managers while the audit is taking place If m3 = 78, what is m4? The percentage of battery remaining, y, on a tablet's battery after x hours can be represented by the given graph. coordinate grid with the x axis labeled time in hours and the y axis labeled percent of battery remaining, with a line that passes through the points 0 comma 30 and 3 comma 0 What is the meaning of the y-intercept in the context of the problem? The tablet starts with 30 percent of battery remaining. After 30 hours, the tablet will have 0 percent of battery left. The tablet will not have any battery remaining after 3 hours. The tablet loses 3 percent of battery every hour. Part of Thor's job at a nonprofit organization, Rag Na Care, is to simply answer the phone to collect donations. The data collected shows a weaknegative linear relationship between the number of hours he worked each week, , and the amount of donations in dollars, y, that the organizationcollected each weeka. What does it mean for the relationship between the variables when the correlation is weak in this context?Part of Thor's job at a nonprofit organization, Rag Na Care, is to simply answer the phone to collect donations. The datis collected shows a weak negative linear relationship between the number of hours he worked each week, z. and the amount of donations in dollars, g, that the organization collected each weekb What does it mean for the relationship between the variables when the correlation is negative in this context?Part of Thor's job at a nonprofit organization, Ray Na Care, is to simply answer the phone to collect donations. The data collected shows a weak negative reasonship between the number of hours he worked each week and the amount of donations in dollars that the organizationcodected each week Ther's boss, Nick Fury sees the data and tete hem, "We certainly tend to bring in a less money when you're working here! This graph saves you're the cause of this decrease in donations!What wrong with the Thor's bom claim? Explain your reasoning "Tell me why"