Factor: <img src="https://tex.z-dn.net/?f=%2025y%5E%7B2%7D%20" id="TexFormula1" title=" 25y^{2} " alt=" 25y^{2} " align="absmidd

The volume of a rectangular prism is 2,058 cubic cm. The length of the prism is 3 times the width. The height is twice the width

liraira [26]

Let the width be w, length = 3w and height = 2w

Volume = length x width x height = w x 3w x 2w = 6w^3
6w^3 = 2,058
w^3 = 2,058/6 = 343
w = ∛343 = 7

width = 7 cm

8 0

3 years ago

Linda and Imani are each traveling in a car to the beach. Linda’s travel is modeled by a table. Imanis travel it modeled by grap

tino4ka555 [31]

Answer:

Imani traveled faster because her distance surpassed Linda's distance after the fourth hour.

Step-by-step explanation:

1. Understand the slope:

Ok, so the slope basically tells us how fast Imani and Linda traveled, so if we solve for the slope we know how fast Imani and Linda traveled.

2. Find Linda's slope:

- Take any two points: (0,10) and (1, 65).

Slope = (y1 - y2)/(x1 - x2)

= (65-10)/(1-0)

= 55

Since the slope is 55, we know her speed is 55 miles per hour.

2. Find Imani's slope:

- Take any two points: (0,0) and (1, 60).

Slope = (y1 - y2)/(x1 - x2)

= (60-0)/(1-0)

= 60

Since the slope is 60, we know her speed is 60 miles per hour.

3. Compare: Since 60>55, we know Imani traveled faster. If we look at options, we can see there's only one answer which shows that Imani traveled faster, so that must be the answer.

7 0

3 years ago

Shanice and Mofor ar selling pies for a school fundraiser. Customers can buy blueberry pies and blackberry pies. Shanice sold 14

vampirchik [111]

To set up this equation you create 14x+12y=314 is equal to 7x+11y-247 (the x representing the number of blue berries, and y representing the number if blackberry pies. In the end.

4 0

3 years ago

Select the correct answer.

Tpy6a [65]

When i do it, with the cone formula w volume, i get 678.567 but that’s none of your choices

5 0

3 years ago

Suppose the population of a country in 1985 was 145 million. In 1995 it was 190 million. Use the formula P = Ae kt to setup an e

kondaur [170]

Answer: Option B is correct

The expression to estimate the population of the country in 2005 is given by

$P=145e^{20k}\\$

Step-by-step explanation:

Since we have given that

In 1985, there was population of 145 millions.

Similarly,

In 1995, there was a population of 190 million .

Use the formula,

$P=Ae^{kt}\\$

where A denotes the initial population and t denotes the number of years.

So, the expression becomes

$P=145e^{20k}\\$

∵ time period between 1985 to 2005 is 20 years.

So we take t=20 years.

So, the expression to estimate the population of the country in 2005 is given by

$P=145e^{20k}\\$

4 0

3 years ago

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