I need the amplitude,period and frequency please.

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.

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.

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Answer:

Step-by-step explanation:

In the context of communication, a medium is a substance or material through which information or messages are conveyed from a sender to a receiver. Examples of media include photographs, newspaper articles, paintings, videos, radio broadcasts, and so on. These media carry information from the person or organization that created them to the people who consume them, whether it be to inform, entertain, or educate.

A cookbook, on the other hand, may not be considered a medium in the same way as the other options, as it is not primarily used to convey information or messages from a sender to a receiver. While a cookbook contains information, such as recipes and instructions for preparing food, this information is not usually communicated from one person to another in the same way as, for example, a photograph or a newspaper article. A cookbook is more like a reference book or guidebook, which people use to obtain information rather than as a means of transmitting information.

All of the options given could be considered examples of media. However, if we interpret "medium" as a substance or material through which something is transmitted or conveyed, then "cookbook" might not be considered a medium. A cookbook is a book that provides instructions on how to prepare food and does not necessarily serve as a substance through which information is transmitted or conveyed. So the answer would be C. Cookbook.

Answer:

C. Cookbook

Step-by-step explanation:

The other answer choices represent examples of communication medium. A communication medium is  a system or channel through which information disseminated to others.

A cookbook is a set of instructions for a specific task and therefore does not fall under the generalized category of medium.

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

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).

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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.

The values are

a. h(-2) = 20

b. h(-1) = -4

c. h(-x) =x⁴+3x²-8

d. h(3a) = 243a⁴+27a² -8

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

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Answer:

(x - 1)^2 + (y + 3)^2 = 400.

Step-by-step explanation:

Your equation is correct.

The center of the circle is (1, -3), which is the midpoint of the diameter. The diameter is 20, so the radius is 10. The equation of a circle with center (h, k) and radius r is given by:

(x - h)^2 + (y - k)^2 = r^2

Substituting the values, we get:

(x - 1)^2 + (y + 3)^2 = 10^2

Simplifying the right side, we get:

(x - 1)^2 + (y + 3)^2 = 100

Therefore, the equation of the circle is (x - 1)^2 + (y + 3)^2 = 400.

So, in response to the above question, we can state thatThe equilibrium interest rate is 5.0% as a result (determined by equation adding $50 in interest to a $1000 bond over a year). The right response is thus 5.3%.

A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical. For examples, in the equation 3x + 5 = 14, because equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The emblem and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.

We must locate the point at which the supply and demand for bonds are equal in order to determine the equilibrium interest rate. To do this, we may solve for Q by setting the demand and supply equations to equal values.

1000 - 0.5Q = 450 + 5Q

5.5Q = 550

Q = 100

We can calculate the equilibrium price (interest rate) by putting Q=100 into either the demand or supply equations now that we are aware of the quantities that are requested and supplied at equilibrium:

P = 1000 - 0.5Q = 1000 - 0.5(100) = $950

The equilibrium interest rate is 5.0% as a result (determined by adding $50 in interest to a $1000 bond over a year).

The right response is thus 5.3%.

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The solution is,  if depreciation is involved it will NEVER be greater than the amount the car was. $16464

An exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd (written like this: 23) means: 2 x 2 x 2 = 8. 23 is not the same as 2 x 3 = 6. Remember that a number raised to the power of 1 is itself.

here, we have,

30000(1+ -.012/4) ^4*5

Use the compounded continuously formula

A= intial amount

Pe^rt

A=30000e

the small e means euler

r= rate

t= t

A= 30000e ^(-0.12x5)

=$16464

the answer is 16,464

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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

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Answer:

6

Step-by-step explanation:

The two triangles are similar which means the the two length is parallel

.°., the Length of the smaller triangle=6

The shareholder's equity if $450 was put on credit is $175. Option D

The purchase of equipment for $625 represents a decrease in the company's shareholder equity, since assets have increased while the equity has not changed.

If $450 was put on credit, this means that the company has only paid $625 - $450 = $175 towards the equipment.

The shareholder's equity is reduced by this amount, so the new shareholder's equity is:

Shareholder's equity = Initial equity - Decrease in equity

Shareholder's equity = 0 - $175

Shareholder's equity = -$175

Since the shareholder's equity is negative, it means that the company owes more than it owns. Therefore, the answer $175.

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

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.

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

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

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Answer:

  41.7 m³

Step-by-step explanation:

You want a volume of 1472 ft³ expressed in cubic meters.

One foot is exactly 0.3048 meters, so we can write the fraction ...

  (0.3048 m)/(1 ft)

and it will have a value of 1. When we multiply by this, it does not change the length, but it changes the units of the length.

The volume is expressed as the third power of the length unit, so we need to use this conversion factor 3 times.

  1472 ft³ = (1472 ft³) × ((0.3048 m)/(1 ft))³ = 1472·0.3048³ m³ ≈ 41.7 m³

The volume of Alice's chicken coop is about 41.7 cubic meters.

Answer: Length = 7 and Width = 2

Step-by-step explanation:

Perimeter = 2(length + width)  
18 = 2(L+W)
[tex]\frac{18}{2}[/tex] = (L+W)  
9 = L+W  
Make width the subject.
w = 9-L ------Equation 1

  Area = Length × Width
⇒14 = L×(9-L)   | Substitute Eq.1 in place of Width
⇒14 = 9L - L²
⇒L² - 9L + 14 = 0
⇒L² -7L - 2L + 14 = 0
⇒L×(L-7) -2×(L-7) = 0
⇒(L-7)(L-2) = 0
∴ L=7(Answer) or L=2(Not Applicable since length can't be larger than width)

Substitute the value into eq.1
when L=7
W=9-7      
  =2      

Lenth=7
Width=2

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Answer:

Step-by-step explanation:

Let the length of the plank be "l" and the width be "w".

The perimeter of the plank is the sum of the lengths of all four sides, which is:

2(l + w) = 18

Simplifying the equation, we get:

l + w = 9

The area of the plank is given by:

lw = 14

We can solve for one of the variables in terms of the other by rearranging the equation:

l = 14/w

Substituting this expression for "l" into the equation for the perimeter, we get:

(14/w) + w = 9

Multiplying both sides by "w", we get:

14 + w^2 = 9w

Rearranging the terms, we get:

w^2 - 9w + 14 = 0

This is a quadratic equation that can be factored as:

(w - 7)(w - 2) = 0

Therefore, the possible values of "w" are 7 and 2.

If we take "w = 7", then using the equation l = 14/w, we get:

l = 14/7 = 2

Therefore, the length and width of the plank are 2 feet and 7 feet, respectively.

If we take "w = 2", then using the equation l = 14/w, we get:

l = 14/2 = 7

Therefore, the length and width of the plank are 7 feet and 2 feet, respectively.

In summary, the plank could have a length of 2 feet and a width of 7 feet, or a length of 7 feet and a width of 2 feet, given its perimeter of 18 feet and area of 14 square feet.

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

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.

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The value of Tan B rounded to the nearest hundredth is 0.01.

Value of subjective concept that refers to the word of important that an individual group of people places on the something it is often associated with principal beliefs and the standard that are accepted by society when you can be seen as a matter of how important something is true person of organization it is often seen as a reflection of funds for view and can help to save decision.


Tan B is a trigonometric ratio that is determined by the ratio of the side opposite an angle to the side adjacent to the angle. To find the value of Tan B, you need to know the angle measure (B) and the lengths of the two sides. For example, if the angle B is 45 degrees and the adjacent side is 8 cm and the opposite side is 8 cm, then Tan B = 8/8 = 1.

To round the value of Tan B to the nearest hundredth, we will use the rounding rule of "5 up". This means that any value that is greater than or equal to five will be rounded up, and any value that is less than five will be rounded down. In this case, Tan B is equal to 1 and is less than five, so it should be rounded down to 0.01. Therefore, the value of Tan B rounded to the nearest hundredth is 0.01.

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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.

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a) The probability that the woman selected will not meet the age requirement for the internships is:  

0.175

b) The probability that at least 30% of the women in the sample will not meet the age requirement for the internships is:

0.0003

The probability that a woman selected at random from the women in STEM majors at the university will not meet the age requirement for the internships can be found by adding the probabilities of the ages that do not meet the age requirement. This includes the probabilities for ages 17, 18, and 19, which are 0.063, 0.005, and 0.107, respectively. Adding these probabilities gives us:

P(not meeting age requirement) = 0.063 + 0.005 + 0.107 = 0.175

This can be found using the binomial probability formula:

P(X ≥ 30) = 1 - P(X < 30) = 1 - ∑(n choose x) * p^x * (1-p)^(n-x)

Where n is the sample size (100), x is the number of women not meeting the age requirement (less than 30), and p is the probability of not meeting the age requirement (0.175). Using this formula, we can find the probability that at least 30% of the women in the sample will not meet the age requirement for the internships:

P(X ≥ 30) = 1 - P(X < 30) = 1 - ∑(100 choose x) * 0.175^x * (1-0.175)^(100-x)

P(X ≥ 30) = 1 - (0.825^100 + (100 choose 1) * 0.175 * 0.825^99 + ... + (100 choose 29) * 0.175^29 * 0.825^71)

P(X ≥ 30) = 0.0003

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15 < 4 + x

15 - 4 < x

11 < x

Therefore, the solution to the inequality is x > 11.

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)

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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

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.

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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]

Path z is the longest path that leads to the lake.

An algebraic expression is a combination of numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division. It is a mathematical phrase that can contain one or more terms separated by mathematical operators.

For example, 3x + 4y - 2z is an algebraic expression that contains three terms: 3x, 4y, and -2z. Each term is made up of a coefficient and a variable, where the coefficient is the numerical value that multiplies the variable.

In algebraic expressions, variables are used to represent unknown values, and the expression can be evaluated by substituting known values for the variables. For instance, if x = 2, y = 3, and z = 1, then the expression 3x + 4y - 2z can be evaluated as 3(2) + 4(3) - 2(1) = 12.

Algebraic expressions can also include exponentiation, roots, and other advanced mathematical operations. They are widely used in mathematics and other fields, such as physics and engineering, to represent relationships between variables and to model real-world situations.

Let's start by assigning variables to each path:

Let x be the length of path x (in meters).

Then path y is 116 meters longer than path x, so its length is x + 116.

Path w is 51 meters shorter than path y, so its length is x + 116 - 51 = x + 65.

Path z is 85 meters longer than path w, so its length is x + 65 + 85 = x + 150.

To find the longest path, we need to compare the lengths of all four paths. We can do this by looking at the expressions we just derived:

Path x has length x.

Path y has length x + 116.

Path w has length x + 65.

Path z has length x + 150.

Since all four paths have a common component of x, the lengths of the paths can be compared by comparing the values of the expressions that add to x. We can see that x + 150 is the largest expression, which means that path z is the longest.

Therefore, path z is the longest path that leads to the lake.

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Primary data is usually designed to collect original data which is required for a specific kind of research. This data is tailored according to what is the focus of the research and what outcome are the people looking for.

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Complete Question:

A marketing manager tells her assistant that she wants to use only primary data in her market research. Which of the following data would be most applicable for this research?

Interviews

Observation

Focus groups

Experiment

Surveys and Questionnaire

qualitative research

market research

Therefore , the solution of the given problem of range comes out to be  the range of the composite function f(g(h(x))) is [0, ∞).

By calculating the variable's maximum observed value and subtracting its minimum observed value, the variable range is obtained (minimum). Potential range or finite difference bounds include different steel pricing and various designs. A procedure or action's breadth or scope insight into the maximum or expected range of a weapon's projectile. The number between the minimum and maximum of a list and set is known as its range. You can locate the area by lining up all the numbers.

Here,

The range of a function is the set of all possible output values. Let's consider each function separately:

f(x) = |x-3|

The absolute value of any number is always non-negative, so the range of f(x) is [0, ∞).

g(x) = -(x-4)²-3

The square of any real number is always non-negative, so the range of the function -(x-4)² is (-∞, 0]. Subtracting 3 from this range gives the range of g(x) as (-∞, -3].

h(x) = -7

The output of h(x) is always -7, so the range of h(x) is {-7} (a singleton set containing only the number -7).

Putting it all together, the range of the composite function f(g(h(x))) is [0, ∞).

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The total earnings for the first month are given as follows:

R370,256.

The series in this problem is a geometric sequence, as there is a common ratio between consecutive terms.

Each day, the amount paid to you by the company is doubled, hence the common ratio of the geometric sequence is given as follows:

r = 2.

The amount paid on the first day is given as follows:

a(1) = 0.01.

The sum of the first n terms of a geometric sequence is given as follows:

S = [a1(1 - r^n)]/(1 - r).

Hence the sum for the first 30 days is given as follows:

S = [0.01(1 - 2^30)]/(1 - 30)

S = 370,256.

More can be learned about geometric sequences at brainly.com/question/24643676

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Answer:

7 min 48 sec / mile

Step-by-step explanation:

51 min ÷ 7 miles = 7.2857142857142

Rounds to 7

Answer:
Black

Step-by-step explanation:

1/2 is half the bag of marbles so it's 50% likely to pick black.