Choose ALL choices that represent the diagram.

What is the domain and range for this? Need help ASAP

rewona [7]

Step-by-step explanation:

domain all real numbers and for range I think it is Y(Y<-8)

4 0

3 years ago

what is the volume, in cubic centimeters, of a cylinder that has a height of 15 cm and a diameter of 12cm?

Allisa [31]

Answer:

<h2>Option 2</h2>

$540\pi$

Step-by-step explanation:

Given, 

Diameter of the cylinder = 12cm

Radius of the cylinder = 12cm ÷ 2 = 6cm

Height of the cylinder = 15cm

Therefore, 

Volume of the cylinder

$= \pi {r}^{2} h$

$= \pi \times 6 \times 6 \times 15 {cm}^{3}$

$= 540\pi \: cubic \: cm$

Hence,

Option 2 is correct for volume of the cylinder in cubic cm:

 $540\pi$ 

3 0

3 years ago

A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. No fencing is needed along the bar

Dmitriy789 [7]

Answer:

Width = 166.7 ft

Length = 250 ft.

Step-by-step explanation:

From the diagram at the ATTACHMENT

Let us denote the the length of the rectangular area as "x" and

the width of the rectangular area as "y"

Since, cost of the fence on the western side is shared with a neighbor, we can say it is $7 per foot. Otherwise, it is $14 per foot. The northern length is not fenced.

From the question, we know that the cost is not to exceed $7000, therefore we can expressed it as

7y + 14x + 14y = 7000

14x + 21y = 7000

Divide through by 14, we have

(x + 1.5) = 500 ------------- eqn (*)

But the area of the fenced

= A = (x×y) -------------- eqn (**)

Substitute (*) into (**) we have

A = (500 - 1.5y)*y

= 500y - 1.5y²

In other to maximize the Area, we can find the differential of A

A'(y) = 500 - 3y

At A'(y) = 0.

500-3y= 0

3y=500

y= 166.67 ft

From eqn(*)

(x+ 1.5) = 500

x = 500 - 1.5y

500-1.5(166.67)

= 250ft

Therefore, the dimensions for the plot that would enclose the most area are

Width of 166.67 ft and Length = 250 ft.

4 0

3 years ago

Javier is comparing costs of two cars. Car A costs $130 per month for insurance and $0.10 per mile to run. Car B costs $108 per

kvv77 [185]

Answer:

Your answer is B because y is total cost so it would go first, and miles is x so it would go after the 0.15 or 0.10, then add the monthly pay, and there you go!!

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

According to the Centers for Disease Control and Prevention, the proportion of U.S. adults age 25 or older who smoke is .22. A r

MaRussiya [10]

Answer:

The null hypothesis is $H_0: p = 0.22$

Step-by-step explanation:

According to the Centers for Disease Control and Prevention, the proportion of U.S. adults age 25 or older who smoke is .22

This means that at the null hypothesis, it is tested if the proportion is in fact 0.22, that is:

$H_0: p = 0.22$

A researcher suspects that the rate is lower among U.S. adults 25 or older who have a bachelor's degree or higher education level.

At the alternative hypothesis, it is tested if the proportion is lower than 0.22, that is:

$H_1: p < 0.22$

5 0

3 years ago