13 miles per hour means he will cover 13 miles in 1 hour.

therefore in 2 hours, 26 miles. 3 hours, 39 miles. 4 hours, 52 miles.

Or time = distance/speed

time = 52/13 = 4 hours

4 0

3 years ago

Which rectangular prism has the greatest volume? Answer asap!!

sasho [114]

Answer:

Step-by-step explanation:

735\

7 0

3 years ago

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Lim x—> -2 sqrt(3x+10) -2/ x+2

snow_lady [41]

$\displaystyle\lim_{x\to-2}\frac{\sqrt{3x+10}-2}{x+2}$

Rationalize the numerator:

$\dfrac{\sqrt{3x+10}-2}{x+2}\cdot\dfrac{\sqrt{3x+10}+2}{\sqrt{3x+10}+2}=\dfrac{(3x+10)-4}{(x+2)(\sqrt{3x+10}+2)}=\dfrac3{\sqrt{3x+10}+2}$

where the $x+2$ factors in the numerator and denominator cancel. Then the limit is

$\displaystyle\lim_{x\to-2}\frac{\sqrt{3x+10}-2}{x+2}=\lim_{x\to-2}\frac3{\sqrt{3x+10}+2}=\frac3{\sqrt4+2}=\boxed{\frac34}$

8 0

3 years ago

George paid a total of $985 to rent a storage unit.

kondaur [170]

Answer:

290 + 5m = 985

Step-by-step explanation:

Given information:

Initial payment = $290
Total payment = $985
Extra amount each month = m
Length of rental = 5 months

From the given information, we can create the following equation:

Initial payment plus extra amount each month for 5 months equals total payment.

⇒ 290 + 5m = 985

To solve the equation:

Subtract 290 from both sides:

⇒ 290 + 5m - 290 = 985 - 290

⇒ 5m = 695

Divide both sides by 5:

⇒ 5m ÷ 5 = 695 ÷ 5

⇒ m = 139

Therefore, the extra amount George paid each month was $139.

5 0

2 years ago

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