The blue shape is a dilation of the black shape. What is the scale factor of the dilation?

Answer:

(0,3)

(1,6)

(2,12)

(3,24)

(4,48)

(5,96)

(6,192)

This is a function.  For each input, there is only one y value.

Step-by-step explanation:

x = number of folds

y = thickness of paper

(0,3)

fold it once, the thickness is doubled (times 2)

Multiply the y coordinate times 2 each time you increase x by 1

(1,6)

(2,12)

(3,24)

(4,48)

(5,96)

(6,192)

This is a function.  For each input, there is only one y value.

Answer:

(0,3)

(1,6)

(2,12)

(3,24)

(4,48)

(5,96)

(6,192)

all of those are a function.

Step-by-step explanation:

The stack is now 119 cm high.

Arithmetic operations is a branch of mathematics, that involves the study of numbers, operation of numbers that are useful in all the other branches of mathematics.

Given that, A stack of 20 identical boxes the stack is 140 cm take 3 of the top

20 boxes makes 140 cm

Therefore, 1 box height = 140/20 = 7 cm

Since, 3 boxes are removes, so the left boxes = 20-3 = 17

The height of stack = 17x7 = 119 cm

Hence, the new height of the stack is 119 cm

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Final answer:

The polynomial in standard form is z⁴ + 3z₂ which is a univariate quartic polynomial since the highest power of z is 4.

Explanation:

Expressing the Polynomial in Standard Form

To express the polynomial z² - z⁴ + 2z² in standard form, we combine like terms. The terms z² and 2z² are like terms, which means they can be added together. So, the polynomial in standard form is z⁴ + 3z².

Classification of the Polynomial

This is a quartic polynomial because the highest degree of the variable z is 4. In addition, there is only one variable, z, which makes it a univariate polynomial. Therefore, the correct classification of the polynomial is a univariate quartic polynomial.

Answer:

Option (c) is correct.

Average expense is given by function [tex]C(x)=\frac{\$11+\$1x}{x}[/tex]

Step-by-step explanation:

 Given : The family arcade center charges an entry fee of 11$ plus an additional $1 per game played.

We have to choose from the given options a function that describes the average expense for a player per game played.

Let x be the number of game played.

So, The entry fee will be same for all that is $ 11

And in addition  $1 is charged per game played.

when they play x games the charge will be $1  × x = $ x

Thus,

Average expense is defined as the total charge divided by number of player per game played.

That is Total charge per person = $ 11+ $1x

Since, there are x game played.

Thus, Average expense is given by function

[tex]C(x)=\frac{\$11+\$1x}{x}[/tex]

The required p'(t) = 0.90t − 12 is and the value of p'(25) is 10.5.

A function from a set X to a set Y assigns to each element of X exactly one element of Y.

Now the given function is,

p(t) = 0.45t² − 12t + 105

where t is time in years

Taking first derivative we get,

p'(t) = 0.90t − 12

which is the required expression for p'(t)

Now for p'(25), put p = 25 in p'(t) we get,

p'(25) = 0.90*25 − 12

Solving,

p'(25) = 22.5 − 12

⇒ p'(25) = 10.5

which is the required value of p'(25).

Thus, the required p'(t) = 0.90t − 12 is and the value of p'(25) is 10.5.

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Final answer:

To find the derivative of the price function with respect to time and the value of the derivative at a specific time, follow the steps provided using the given function p(t).

Explanation:

The derivative of the price function with respect to time, p'(t), can be found by taking the derivative of the given function, which is  p'(t) = 0.90t - 12. The value of p'(25) can be calculated by substituting t = 25 into the derivative function, giving p'(25) = 0.90(25) - 12 = 22.5 dollars per year.

Answer:

As, there are 595 students in the school.

To find the mean number of books, read by student in the school during summer

If he will survey all the students in the school that will give the exact mean , but that will be little lengthy and tedious.

As, well as larger the number of students surveyed , the better the mean is.

But option A, is true as, select randomly few students , find the mean number of books read by them , that will be less time consuming and gives the mean of population also.

Option A:

To estimate the mean using sample,Terrance will need to randomly select students, he will survey and that represents population as well.

Apart from option A,option B is also true.

Answer:

There are total 12 outcomes

Step-by-step explanation:

The number of outcomes in spinning a spinner is 6 (getting a number from 1 to 6)

The number of outcomes in flipping a coin=2  (head or tail)

Hence, total 12 outcomes are possible which are:

(1,H) (2,H) (3,H) (4,H) (5,H) (6,H)

(1,T)  (2,T)  (3,T) (4,T)  (5,T)  (6,T)

Answer:

yes

Step-by-step explanation:

If the area of a square playground is 175 [tex]m^{2}[/tex] then the approximate length is 13 meters.

A square is a two dimensional figure having four vertices, four edges, four angles and all the sides are equal to each other. The perimeter is equal is equal to 4*side and the area is side*side.

We have been given the area of the square playground equal to 175 meter square. We know that the area of a square is side*side means [tex]side^{2}[/tex].

Put the value of 175 equal to side square and we will get the value of slide.

Area =[tex]side^{2}[/tex]

175=[tex]side^{2}[/tex]

side=[tex]\sqrt{175}[/tex]

Side=13.22m

If we round to nearest meter then it will be equal to 13m.

Hence if the area of a square playground is 175 meter square then the side will be equal to 13m.

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B) decreases is the answer

75 +40 = 115

Answer is A 115 degrees

Answer:

We conclude that consumers are spending more than the national average.      

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = $150.00

Sample mean, [tex]\bar{x}[/tex] = $160

Sample size, n = 40

Alpha, α = 0.025

Population standard deviation, σ = $30.20

First, we design the null and the alternate hypothesis

[tex]H_{0}: \mu = 150\text{ dollars}\\H_A: \mu > 150\text{ dollars}[/tex]

We use One-tailed z test to perform this hypothesis.

Formula:

[tex]z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }[/tex]

Putting all the values, we have

[tex]z_{stat} = \displaystyle\frac{160 - 150}{\frac{30.20}{\sqrt{40}} } = 2.0942[/tex]

Now, [tex]z_{critical} \text{ at 0.025 level of significance for one tailed test } = 1.96[/tex]

Since,  

[tex]z_{stat} > z_{critical}[/tex]

We reject the null hypothesis and accept the alternate hypothesis. We conclude that consumers are spending more than the national average.