PLEASE HELP IM OFFERING 30 POINTS 6. Practice: Organizing Information
(5 points: 1 point for labels, 2 points for each graph)
Label the axes of the graph with "Time (hours)" and "Energy (kWh)." Plot the points from table A on the graph. Connect the points with a line. On the same graph, plot the points from table B and connect them with a line.
Answers
The data points from table A and table B have been plotted in the graph shown below.
How to construct and plot the data in a scatter plot?In this scenario, the time (in hours) would be plotted on the x-axis (x-coordinate) of the scatter plot while the energy (kWh) would be plotted on the y-axis (y-coordinate) of the scatter plot through the use of Microsoft Excel.
On the Excel worksheet, you should right click on any data point on the scatter plot, select format trend line, and then tick the box to display an equation for the line of best fit (trend line) on the scatter plot.
For table A, we have:
Time (in hours) Energy (kWh)
0 0.0
1 0.3
2 0.5
3 0.7
4 0.9
For table B, we have:
Time (in hours) Energy (kWh)
0 0.0
1 0.1
2 0.2
3 0.3
4 0.4
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Related Questions
Rousseau believed that _____ corrupted the individual.
Answers
Rousseau believed that society corrupted the individual.
What is society?Rousseau believed that civilization or society corrupted the individual. He believed that in the state of nature, humans were essentially good and free, but that society imposed unnatural and harmful restrictions on them, leading to corruption and degeneration. According to Rousseau, institutions like private property, government, and social hierarchies were responsible for this corruption, as they encouraged competition, selfishness, and inequality, and forced people to conform to arbitrary standards and norms.
He believed that true freedom and happiness could only be found in a society that valued equality, solidarity, and the common good, and that emphasized the development of the individual's natural capacities and talents.
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Answer: society
Step-by-step explanation:
just did it
An album has 15 songs. You make a playlist by randomly shuffling the order of the songs. Which values represent the probability that the first 3 songs in the playlist are the first 3 songs on the album in any order?
Answers
This probability is approximately equal to [tex]1.07 * 10^-10.[/tex]
The total number of possible ways to arrange the 15 songs is 15!, which is a very large number. To find the probability that the first 3 songs in the playlist are the first 3 songs on the album in any order, we need to find the number of ways to arrange the first 3 songs on the album and divide it by the total number of possible arrangements.
Since the first 3 songs can be arranged in any order, we can use the permutation formula to find the number of ways:
P(3,3) = 3!
P(3,3) = 6
So there are 6 ways to arrange the first 3 songs on the album.
The total number of possible arrangements of all 15 songs is 15!, as mentioned earlier.
Therefore, the probability that the first 3 songs in the playlist are the first 3 songs on the album in any order is:
6 / 15!
This probability is a very small number, approximately equal to [tex]1.07 * 10^-10.[/tex]
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A vending machine automatically pours soft drinks into cups. The amount of soft drink dispensed into a cup is normally distributed with a mean of 7.5 ounces and standard deviation of 0.5 ounces. Examine the figure below and answer the following questions.
a.) Estimate the probability that the machine will overflow an 8-ounce cup. (Round your answer to two decimal places.)
b.) Estimate the probability that the machine will not overflow an 8-ounce cup. (Round your answer to two decimal places.)
c.) The machine has just been loaded with 300 cups. How many of these do you expect will overflow when served?
Answers
The machine has just been loaded with 850 cups. How many of these do you expect will overflow when served?
0.1587*850 = 134.857..
How to solveA vending machine automatically pours soft drinks into cups.
The amount of soft drink dispensed into a cup is normally distributed with a mean of 7.6oz and a standard deviation of 0.4oz.
Examine figure 7.- and answer the following questions.
a) estimate the probability that the machine will overflow an 8oz cup.
Procedure:
Determine the z-score for 8
z(8) = (8-7.6)/0.4 = 0.4/0.4 = 1
P(x>8) = P(z>1) = 0.1587..
-----------------------
b) Estimate the probability that the machine will not overflow an 8oz cup.
P(z<1) = 1 - 0.1587 = 0.8413..
-----------------
c) the machine has just been loaded with 850 cups. How many of these do you expect will overflow when served?
0.1587*850 = 134.857..; Rounded down you get 134 cups
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$-3\left|x\right|+2x-1\:if\:x\:=\:-5$
Answers
Answer: = -26
Step-by-step explanation:
Please help! Will give brainliest
Answers
[tex]1.4 < \sqrt{2} < 1.5\hspace{5em}1.7 < \sqrt{3} < 1.8 \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{lllll} 1.7& < &\sqrt{3}& < &1.8\\\\ 1.7-\sqrt{2}& < &\sqrt{3}-\sqrt{2}& < &1.8-\sqrt{2}\\\\ 1.7-1.5& < &\sqrt{3}-\sqrt{2}& < &1.8-1.4\\\\ 0.2& < &\sqrt{3}-\sqrt{2}& < &0.4 \end{array}[/tex]
we're subtracting the upper-bound of √2, so is the most we can subtract from 1.7, and we're subtracting the lower-bound of √2 from 1.8, that way the resultant is within range.
Suppose that X is a continuous random variable with density function, f(x). If f(x)=(x+6)/32 for −6≤x≤2 and f(x)=0 otherwise, determine pr[X < 0].
A. 7/64
B. 3/32
C. 3/4
D. 9/16
E. 11/16
Answers
pr[X < 0] = ∫(-6 to 0)[(x+6)/32]dx
= [1/32 * (x^2/2 + 6x)](-6 to 0)
= [1/32 * ((0)^2/2 + 6(0))] - [1/32 * ((-6)^2/2 + 6(-6))]
= [0] - [1/32 * (18)]
= -9/64
However, since the probability of an event cannot be negative, we know that pr[X < 0] = 0. So, the correct answer is not among the options given.
in how many years will Gh312.50 invested at 4% simple interest amount to Gh500.00
Answers
Answer: 50 years.
Step-by-step explanation:
We can use the formula for simple interest to solve this problem:
I = P * r * t
where I is the interest earned, P is the principal amount, r is the interest rate as a decimal, and t is the time in years.
We can rearrange this formula to solve for t:
t = I / (P * r)
Substituting the given values, we get:
t = (500 - 312.5) / (312.5 * 0.04)
t = 625 / 12.5
t = 50
Therefore, it will take 50 years for an investment of Gh312.50 at 4% simple interest to amount to Gh500.00.
In order for you to carry a bag on the plane, it must fit inside the carry-on Baggage Check Box. The carry-on Baggage Check Box has dimensions of approximately 22 inches x 14 inches x 9 inches. Your black bag has a height of 18 inches, a depth of 12 inches and a width of 8 inches. Your blue bag has a height of 18 inches, a depth of 15 inches and a width of 10 inches.
What is the volume of the Carry-on Baggage Check Box?
22×14x9= 2772 inches3
What is the volume of the black bag?
What is the volume of the blue bag?
Which bag will definitely fit in the Check Box? Explain.
You notice these two old suitcases stacked in the closet. The smaller suitcase is 25 inches x 8 inches x 9 inches and the larger suitcase is 75 inches x 20 inches x 18 inches.
The bigger suitcase is how many times larger than the smaller suitcase? HINT: You will need to divide on this one.
You decide to use the larger suitcase to transport rectangular prism watermelons back home. The watermelons are about 720 cubic inches. If one of the watermelons is about 10 inches long and 9 inches wide, about how tall would it be? (Hint: V=LxWxH, so plug in 720=10x9xH and solve for H).
If the watermelons are about 720 cubic inches, what is the MAXIMUM amount of watermelons you’ll be able to bring home in your larger suitcase, assuming all you have in the suitcase is the watermelons. (Hint: Divide the larger suitcase volume and the volume of the watermelon).
Answers
1. The volume of the black bag is 1728 cubic inches. 2. The volume of the blue bag is 2700 cubic inches. 3. The black bag will fit in the Check Box. 4. The bigger suitcase is 27 times larger than the smaller suitcase.
What is volume?Volume, which is commonly expressed in cubic units, is the amount of space occupied by a three-dimensional object. By multiplying an object's length, breadth, and height, as well as other formulas depending on the shape of the object, one can get the volume of the thing. Volume is a key concept in many practical applications, including calculating container capacity, constructing structures, and estimating the amount of material required for a construction project. Volume is utilised in many branches of mathematics, science, and engineering.
For the given dimensions of the bags we have:
1. The volume of the black bag is:
18 x 12 x 8 = 1728 cubic inches
2. The volume of the blue bag is:
18 x 15 x 10 = 2700 cubic inches
3. The black bag will definitely fit in the Check Box because its volume of 1728 cubic inches is less than the volume of the Check Box, which is 2772 cubic inches.
4. The ratio of bigger suitcase to smaller suitcase is:
75 x 20 x 18 = 27000 cubic inches
25 x 8 x 9 = 1800 cubic inches
27000 / 1800 = 27
The bigger suitcase is 27 times larger than the smaller suitcase.
5. Now, if the watermelons is about 10 inches long and 9 inches wide, then its height would be:
720 = 10 x 9 x H
720 = 90H
H = 8 inches
The maximum amount of watermelons that can fit are:
27000 / 720 = 37.5 watermelons = 37 watermelons.
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How do I solve this system of linear equations
Answers
The solution for the system of linear equations is: x₁ = -1, x₂ = -3, x₃ = 3 and x₄ = -2
How do you solve for the system of linear equations?To solve this system of linear equations, we can use the Gaussian elimination method. First, let's represent the system as an augmented matrix:
| 1 0 2 0 | 5 |
| 0 1 0 -1 | -1 |
| -1 -1 1 0 | 1 |
| 0 0 2 -1 | 4 |
Add the first row to the third row to eliminate x₁ in the third row:
| 1 0 2 0 | 5 |
| 0 1 0 -1 | -1 |
| 0 -1 3 0 | 6 |
| 0 0 2 -1 | 4 |
Add the second row to the third row to eliminate x₂ in the third row:
| 1 0 2 0 | 5 |
| 0 1 0 -1 | -1 |
| 0 0 3 -1 | 5 |
| 0 0 2 -1 | 4 |
Divide the third row by 3
| 1 0 2 0 | 5 |
| 0 1 0 -1 | -1 |
| 0 0 1 -1/3 | 5/3 |
| 0 0 2 -1 | 4 |
Subtract twice the third row from the fourth row to eliminate x₃ in the fourth row
| 1 0 2 0 | 5 |
| 0 1 0 -1 | -1 |
| 0 0 1 -1/3 | 5/3 |
| 0 0 0 -1/3 | 2/3 |
Multiply the fourth row by -3 to get x₄
| 1 0 2 0 | 5 |
| 0 1 0 -1 | -1 |
| 0 0 1 -1/3 | 5/3 |
| 0 0 0 1 | -2 |
We can use back substitution to find the values of x₁, x₂, and x₃:
x₄ = -2
x₂ - x₄ = -1 which is x₂ = -1 + (-2) = -3
x₃ - (1/3)x₄ = 5/3 therefore; x₃ = 5/3 + (1/3)(-2) = 3
x₁ + 2x₃ = 5 therefore; x₁ = 5 - 2(3) = -1
The above answer is in response to the full question below;
Solve this system of linear equations
x₁ + 2x₃ = 5
x₂ - x₄ = -1
-x₁ - x₂ + x₃ = 1
2x₃ - x₄ = 4
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Please help me with this show your work.
Answers
Answer:
(2,3)
Step-by-step explanation:
look at where both lines intersect
2x - 1 = 5 - x
Combine like terms
2x + x = 3x
5 + 1 = 6
3x = 6
6 /3 = 2
X = 2
Put into both equation to find y and to make sure it’s true
Y =2x - 1
2(2) - 1
4 - 1 = 3
Y = 3
y = 5 - x
5 - 2 = 3
Y = 3
X=2 and y = 3
(2,3)
To solve a system of equations, we need to find the values of the variables that make both equations true simultaneously. Several methods for solving systems of equations include substitution, elimination, and graphing.
Substitution method:
Solve one equation for one variable in terms of the other variable.Substitute the expression obtained in step 1 into the other equation in place of the variable just solved for.Solve the resulting equation for the remaining variable.Substitute the value obtained in Step 3 back into either of the original equations to find the value of the other variable.Elimination method:
Multiply one or both equations by constants so that the coefficients of one of the variables are equal in both equations, but have opposite signs.Add the resulting equations together to eliminate one of the variables.Solve the resulting equation for the remaining variable.Substitute the value obtained in Step 3 back into either of the original equations to find the value of the other variable.Graphing method:
Graph both equations on the same set of axes.The solution to the system of equations is the point(s) where the two lines intersect.Let's solve this using substitution and then verify with the graphing method:
To solve the system of equations y = 2x - 1 and y = 5 - x, we can substitute the expression 2x - 1 for y in the second equation and solve for x:
y = 5 - x
2x - 1 = 5 - x (substituting y = 2x - 1 for y)
3x = 6
x = 2
Now that we have found x = 2, we can substitute this value into either equation to solve for y:
y = 2x - 1
y = 2(2) - 1
y = 3
We can verify this with the graphing method by looking at where the two lines intersect. Upon inspecting the graph, the lines intersect at (2,3), verifying that the algebraic method was correct. Therefore, the solution to the system of equations is (2,3)
Using system of equations
Answers
Answer: x = 2 and y = - 4 or (2,-4)
Step-by-step explanation:
Subtract the x from both sides of the equation Now you have y = - x - 2 plug in - x - 2 into the other equationNow you have y = 5x - 3 ( - x - 2) = 22simplify that to 5x + 3x + 6 = 22simplify that to 8x = 16Now x = 2plug in x as 2 into y + x = -2Now y + 2 = -2Subtract the 2 from both sides of the equationNow you have y = - 4The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
20,10,5,...
Find the 9th term.
Answers
Answer:9th term is 0.078 approx.
Step-by-step explanation: the given sequence is decreasing by a factor of 2 each time.
so we can find 4th term :-
4th term= 5/2=2.5
similarly,we can find the term 5th,6th,7th,8th terms respectively:-
5th = 2.5/2=1.25
6th=1.25/2=0.625
7th=0.625/2=0.3125
8th=0.3125/2=0.15625
so 9th term is equal to 0.078.
what fraction of prism's volume will be filled by th sand
Answers
The fraction of prism with dimensions length=10cm , width= 5cm and height=5cm , made using two cubes of 5cm sides each filled with sand is [tex]\frac{3}{5}[/tex]
What is a prism?
A three-dimensional solid shape or figure known as a prism has two ends that are identical or flat. Prisms are made up of equal cross-sections, flat faces, and congruent bases. The remaining faces of prism are parallelograms or rectangles. Another name for the rectangular prism is a cuboid.
Given that prism if formed using two identical cubes of side 5cm each. The prism so formed using two cubes will be a cuboid also known as rectangular prism.
Dinemsions of prism:
Length=5+5 { length of two cubes}
=10 cm.
width= 5cm {width of one cube}
height=5 cm {height of one cube}
Volume of cuboid= Lengthx widthx height
=10 . 5 . 5
=250 cu. cm
Given that 150 cu. cm volume of prism is filled with sand.
Fraction of volume filled with sand =[tex]\frac{volume of sand}{total volume of prism}[/tex]
=[tex]\frac{150}{250}[/tex]
=[tex]\frac{15}{25}[/tex]
=[tex]\frac{3}{5}[/tex]
Fraction of volume filled with sand =[tex]\frac{3}{5}[/tex]
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Refer to the attachment for the complete question.
Lesson 12-7 Question 3: Gavon slept 8 hours all 7 nights this week. How many minutes did Gavon sleep this week? Note: 1 hour = 60 minutes
Answers
We can determine that Gavon sleeps for 3360 minutes this week using the laws of mensuration.
Define mensuration?A measurement action is what the word "mensuration" alludes to. Our universe has three dimensions. Both elementary school and high school mathematics depend heavily on the idea of measurement. Additionally, measurement directly affects how we live. When measuring objects, 2D and 3D measurements are practised. Both traditional and non-conventional measurement techniques can be used to determine the size or quantity of something.
According to the query,
Each night, Gavon slept for eight hours.
Gavon slept for eight hours every night for seven days in a row.
Gavon now sleeps for eight hours per night, or eight times sixty.
= 480 minutes.
Gavon now sleeps seven nights a week, thus
7 × 480
= 3360 minutes.
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The complete question is,
Gavon slept 8 hours all 7 nights this week. How many minutes did Gavon sleep this week? Note: 1 hour = 60 minutes
a cylinder and a cone have the same radius and the same volume. the height of the cone is 18 cm. what is the height of the cylinder
Answers
Answer:
the height of the cylinder is 6 cm.
Step-by-step explanation:
Let's start by using the formulas for the volume of a cylinder and a cone:
Volume of a cylinder = πr^2h
Volume of a cone = (1/3)πr^2h
Given that the cylinder and cone have the same radius and volume, we can set their volume equations equal to each other:
πr^2h = (1/3)πr^2(18)
Simplifying this equation by canceling out πr^2 on both sides, we get:
h = (1/3) * 18
h = 6
Therefore, the height of the cylinder is 6 cm.2
Help me out asap please.
Answers
Step-by-step explanation:
4x²+32=4(x²+8)
56x³+7x²=7x²(8x-1)
6x⁴-4x²+14x=2x(3x³-2x+7)
18x³+27x-9=9(2x³+3x-1)
A survey of 100 male diabetic patient and 100 female diabetic students revealed that 15 of the male and 36 of the female were more that 20% overweight. Prepare a contingency table and test the hypothesis that the two gender are homogenous with respect to being overweight (use a= 0,05).
Answers
Answer:
Step-by-step explanation:
| Male | Female | Total
------|------|--------|-------
Overweight | 15 | 36 | 51
Not Overweight | 85 | 64 | 149
------|------|--------|-------
Total | 100 | 100 | 200
Now, we can test the hypothesis that the two genders are homogeneous with respect to being overweight using a chi-square test. The null hypothesis is that there is no association between gender and overweight status.
The formula for the chi-square test is:
χ² = Σ [(O - E)² / E]
Where:
χ² = chi-square value
O = observed frequency
E = expected frequency
To calculate the expected frequency, we can use the formula:
E = (row total x column total) / grand total
Using this formula, we can calculate the expected frequencies for each cell of the contingency table:
| Male | Female | Total
------|------|--------|-------
Overweight | 12.75 | 38.25 | 51
Not Overweight | 87.25 | 61.75 | 149
------|------|--------|-------
Total | 100 | 100 | 200
Now we can use the formula for the chi-square test to calculate the chi-square value:
χ² = [(15 - 12.75)² / 12.75] + [(36 - 38.25)² / 38.25] + [(85 - 87.25)² / 87.25] + [(64 - 61.75)² / 61.75]
χ² = 1.06 + 0.76 + 0.68 + 0.56
χ² = 3.06
Next, we need to determine the degrees of freedom (df) for our test. For a contingency table with r rows and c columns, the degrees of freedom are (r-1) x (c-1). In this case, we have 2 rows and 2 columns, so our degrees of freedom are:
df = (2-1) x (2-1) = 1
We can then use a chi-square distribution table or a statistical software program to determine the critical value of chi-square for our chosen level of significance and degrees of freedom. For a significance level of 0.05 and 1 degree of freedom, the critical value of chi-square is 3.84.
Since our calculated chi-square value of 3.06 is less than the critical value of 3.84, we fail to reject the null hypothesis. This means that there is not enough evidence to conclude that there is a significant association between gender and overweight status among diabetic patients.
What’s the value of x in this problem ?
Answers
The value of x in the line segment is 6.
How to find the angles x in a line segment?When lines intersects, angle relationships are formed such as vertically opposite angles, linear angles etc.
Therefore, let's find the angle x using the angle relationships formed as follows:
∠UJX + 90 + 6 = 180(sum of angles on a straight line)
∠UJX = 180 - 96
∠UJX = 84 degrees
Therefore,
∠UJX ≅ 14x (vertically opposite angles)
Vertically opposite angles are congruent.
Hence,
84 = 14x
divide both sides by 14
x = 84 / 14
Therefore,
x = 6
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Jamie and Dana are going to a concert. Their combined money total
$28.50, At the concert, hot dogs cost $1.25, soft pretzels cost $2.50 each and
water bottle cost 50.50 each. Each person buys one water bottle. They spend
all $28.50 on food and water bottles.
Write an equation that can determine the number of hot dogs, x, and soft
pretzels, y, Jamie and Dana can buy.
Graph your equation on the grid below.
Determine how many different combinations, including those combinations
containing zero, of hot dogs and soft pretzels Jamie and Dana can buy, spending
all $28.50. Explain your answer.
Answers
The $28.50 amount Jamie and Dana has to spend and the items that they bought expressed as an equation indicates;
The equation that can be used to determine the number of hot dogs, and soft pretzels, Jamie and Dana can buy, is; 1.25·x + 2.50·y = 27.50Please find attached the graph of the equation, showing the number of possible combination of hot dogs and soft pretzels, created with MS ExcelThere are 12 possible combinationsWhat is an equation?An equation is a mathematical statement that indicates equivalence between two expression.
The amount Jamie and Dana takes to the concert = $28.50
The cost of hot dogs = $1.25
Cost of soft pretzels = $2.50
Cost of a water bottle = 50 cents
Let x represent the number of hot dogs and let y represent the number of soft pretzels Jamie and Dana bought together
The cost of the two water bottles they buy (one each) = 2 × 50 cents = $1
The equation that determines the number of hot dogs and soft pretzels they buy is therefore; 1.25·x + 2.50·y + 1 = 28.50
1.25·x + 2.50·y = 27.50The graph of the equation can be found by making y the subject of the formula as follows;
1.25·x + 2.50·y = 27.50
2.50·y = 28.50 - 1 - 1.25·x
y = (27.50 - 1.25·x) ÷ 2.50 = 11 - 0.5·x
y = 11 - 0.5·x
The above equation is a linear function
Please find attached the graph of the above equation created with MS ExcelThe points on the graph are;
(0, 11), (2, 10), (4, 9), (6, 8), (8, 7), (10, 6), (12, 5), (14, 4), (16, 3), (18, 2), (20, 1), (22, 0)
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A parabola opening up or down has vertex (0,–2) and passes through (-8,14). Write its equation in vertex form.
Answers
The equation of the parabola in vertex form is y = (1/4)x² - 2.
A parabola is a symmetrical curve with a U- or smile-shaped shape. It is a particular kind of conic section, a shape created by cutting a cone with a plane.
The set of all points in a plane that are equally distant from a fixed point (referred to as the focus) and a fixed line is known as a parabola (called the directrix).
The vertex form of the equation of a parabola with vertex (h,k) is given by:
y = a(x - h)² + k
where "a" is a constant that determines whether the parabola opens up or down (if "a" is positive, the parabola opens up, and if "a" is negative, the parabola opens down).
We are given that the vertex of the parabola is (0,-2), so we have:
h = 0 and k = -2
We are also given that the parabola passes through the point (-8,14). We can use this information to find the value of "a". Substituting the coordinates of the point into the equation, we get:
14 = a(-8 - 0)² - 2
Simplifying:
14 = 64a - 2
16 = 64a
a = 16/64
a = 1/4
Now that we have found the value of "a", we can write the equation of the parabola in vertex form:
y = (1/4)x² - 2
Therefore, the equation of the parabola in vertex form is y = (1/4)x² - 2.
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Help please 20 point asap
Answers
explanation: 9 teachers in B to 10 teachers in C
The mass of a quarter is 5.67 grams. The mass of a dime is 0.4 times the mass of a quarter. What is the mass of a dime?
Show the working
Answers
Answer:
the mass of a dime is 2.268 grams.
Step-by-step explanation:
Given that the mass of a quarter is 5.67 grams, the mass of a dime can be found by multiplying 0.4 to the mass of a quarter.
So,
Mass of a dime = 0.4 × mass of a quarter
= 0.4 × 5.67 grams
= 2.268 grams
Therefore, the mass of a dime is 2.268 grams.
Pls help me last question on math I got to finish the packet
Answers
2:C, distance goes up
3:A, distance goes up, stays the same, then goes up again.
Hurry up please time limit
State the domain and range and tell if the graph is a function yes or no?
What’s the domain and range
Answers
The graph in this problem is not a function, as it contains vertically aligned points.
The domain and the range are given as follows:
Domain: -2 ≤ x ≤ 6.Range: -6 ≤ y ≤ 2.When does a graph represents a function?A graph represents a function if it has no vertically aligned points, that is, each value of x is mapped to only one value of y. Vertically aligned points mean that a value of x is mapped to multiple values of y, that is, a single input is mapped to multiple outputs which disqualify the relation as a function.
When we trace a vertical line through the circle, it would cross the circle at two points, meaning that the graph contains vertically aligned points, and thus, is not a function.
The domain and the range are defined as follows:
Domain: -2 ≤ x ≤ 6. -> Input values = values of x on the graph.Range: -6 ≤ y ≤ 2 -> Output values = values of y on the graph.More can be learned about graphs and functions at https://brainly.com/question/12463448
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4) A blueprint for a building has a scale of 1:40 (blueprint:actual). A wall in the blueprint is 4 inches tall. What is the height of the actual wall (in inches)?
*
40 inches
80 inches
1/160th of an inch
160 inches
Answers
[tex]\begin{array}{ccll} blueprint&actual\\ \cline{1-2} 1 & 40\\ 4& h \end{array} \implies \cfrac{1}{4}~~=~~\cfrac{40}{h} \implies h=160[/tex]
Answer:
160 inches
Step-by-step explanation:
a scale of 1:40 means that any measurement in the blue print is multiplied by 40 to find the actual measurement
so 4*40= 160 inches
Can someone help me with this? very much appreciated!!
The answer options are {x | 2 < x < 9}, {y | 0 < y < 7}, {y | 0 ≤ y ≤ 7}, {x | 2 ≤ x ≤ 9}
Answers
Reason:
The domain is the set of allowed x inputs.
We look at the x coordinates of the endpoints.
The left-most point is when x = 2.
The right-most point is when x = 9.
The set of x values span between 2 and 9, including each endpoint. So we would say 2 ≤ x ≤ 9
what function is represented in the table?
select one:
y=2(.5^x)
y=3(.5^x)
y=3(2^x)
y=2(3^x)
Answers
A function that is represented in the table include the following: A. [tex]y = 2(0.5)^x[/tex].
What is an exponential function?In Mathematics, an exponential function can be represented by using the following mathematical equation:
[tex]f(x) = a(b)^x[/tex]
Where:
a represent the base value, vertical intercept, or y-intercept.x represent time.b represent the slope or rate of change.At data points (0, 2) and (1, 1), we can calculate or determine the value of a and b as follows;
2 = a(b)⁰
a = 2
For the value of b, we have:
1 = 2(b)¹
1 = 2b
b = 1/2 = 0.5
Therefore, the required function is given by;
[tex]y = 2(0.5)^x[/tex]
Read more on exponential equation here: brainly.com/question/28939171
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Find the coordinates of the vertex given the focus and directrix.
focus: (−5,7)
directrix: y=1
Answers
Vertex = (h, k) = (h, (p + k'))
where h is the x-coordinate of the vertex, k is the y-coordinate of the vertex, p is the distance between the focus and vertex, and k' is the y-coordinate of the directrix.
First, we need to find the value of p. The distance between the focus and directrix is given by:
p = |k' - y-coordinate of focus|
In this case, k' = 1 and y-coordinate of focus = 7. Therefore,
p = |1 - 7| = 6
Next, we can use the x-coordinate of the focus to find the x-coordinate of the vertex. Since the parabola is symmetric about its axis (which is parallel to the directrix), we know that the x-coordinate of the vertex is halfway between the x-coordinate of the focus and the directrix. Therefore,
h = (x-coordinate of focus + x-coordinate of directrix) / 2
= (-5 + 0) / 2
= -2.5
Finally, we can substitute h, k', and p into our formula for Vertex to find k:
Vertex = (h, k) = (-2.5, (p + k'))
= (-2.5, (6 + 1))
= (-2.5, 7)
Therefore, the coordinates of the vertex are (-2.5, 7).
Alice’s chicken coop (cage) has a total volume of 758 cubic feet (ft3). Use the fact that 1 foot is approximately equal to 0.3048 m to convert this volume to m3.
Answers
the volume of Alice's chicken coop in cubic meters is approximately 21.46 m³.
what is volume ?
Volume refers to the amount of space that an object or substance occupies in three-dimensional space. It is typically measured in cubic units, such as cubic meters (m³) or cubic feet (ft³), and is calculated by multiplying the length, width, and height of the object
In the given question,
To convert 758 cubic feet to cubic meters, we need to use the conversion factor:
1 ft³ = 0.3048³ m³
We can then multiply the volume in cubic feet by this conversion factor to get the volume in cubic meters:
758 ft³ × (0.3048 m/ft)³ = 21.46 m³ (rounded to two decimal places)
Therefore, the volume of Alice's chicken coop in cubic meters is approximately 21.46 m³.
To know more about volume , visit:
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The ages of a group of lifeguards are listed.
17, 17, 18, 19, 22, 23, 25, 27, 32, 38
If another age of 18 is added to the data, how would the mean be impacted?
A The mean would stay the same value of about 22.5.
B The mean would stay the same value of about 23.8.
C The mean would increase in value to about 25.6.
D The mean would decrease in value to about 23.3.
Answers
Answer: (D): The mean would decrease in value to about 23.3
Step-by-step explanation:
Step 1: Find the Original Mean
Mean = Sum/# of Numbers
Mean = 17 + 17 + 18 + 19 + 22 + 23 + 25 + 27 + 32 + 38/ 10 numbers
Mean = 238/10
Mean = About 23.8
Step 2: Add 18 to the original sum, divide that by 11 numbers
Mean = 238 + 18/11 numbers
Mean = 256/11
Mean = About 23.3
And so, Answer Choice (D) is correct
