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3 years ago

12

Jacob has a 24 ounce grape juice. He drinks 5 ounces. Enter the percentage of ounces Jacob has left of his grape juice. Round yo

u answer to the nearest hundredth.

1 answer:

nikitadnepr [17]3 years ago

7 0

Sorry about the eraser marks. Hopefully this helps!!

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At 363 ft tall, the Saturn V rocket was the largest rocket ever sent into space. Stage 1 of the rocket, built by Boeing,

Nataly_w [17]

Answer:

f'(t) = -15 tons/second

Step-by-step explanation:

Using the power rule, the derivative of f(t) is ...

f'(t) = -15 . . . tons/second

f(t) is the fuel weight, so f'(t) is the rate at which fuel weight is changing. The rocket is using fuel at the rate of 15 tons per second.

_____

<em>Comment on units</em>

The units of the equation for f(t) are ...

f(t) = 2520 tons - (15 tons/second)(t seconds)

The derivative is the coefficient of (t seconds), so is (-15 tons/second).

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3 years ago

Write an algebraic expression to model the unknown number situation. the difference of a number and seven Subtraction Words Whic

ANEK [815]

Answer:

ACDE

Step-by-step explanation:

Edge 2022

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3 years ago

Gas is escaping from a spherical balloon at the rate of 12 ft3/hr. At what rate (in feet per hour) is the radius of the balloon

bija089 [108]

Answer:

This is the rate at which the radius of the balloon is changing when the volume is 300 $ft^3$ $\frac{dr}{dt}=-\frac{3}{225^{\frac{2}{3}}\pi ^{\frac{1}{3}}} \:\frac{ft}{h} \approx -0.05537 \:\frac{ft}{h}$

Step-by-step explanation:

Let $r$ be the radius and $V$ the volume.

We know that the gas is escaping from a spherical balloon at the rate of $\frac{dV}{dt}=-12\:\frac{ft^3}{h}$ because the volume is decreasing, and we want to find $\frac{dr}{dt}$

The two variables are related by the equation

$V=\frac{4}{3}\pi r^3$

taking the derivative of the equation, we get

$\frac{d}{dt}V=\frac{d}{dt}(\frac{4}{3}\pi r^3)\\\\\frac{dV}{dt}=\frac{4}{3}\pi (3r^2)\frac{dr}{dt} \\\\\frac{dV}{dt}=4\pi r^2 \frac{dr}{dt}$

With the help of the formula for the volume of a sphere and the information given, we find $r$

$V=\frac{4}{3}\pi r^3\\\\300=\frac{4}{3}\pi r^3\\\\r^3=\frac{225}{\pi }\\\\r=\sqrt[3]{\frac{225}{\pi }}$

Substitute the values we know and solve for $\frac{dr}{dt}$

$\frac{dV}{dt}=4\pi r^2 \frac{dr}{dt}\\\\\frac{dr}{dt}=\frac{\frac{dV}{dt}}{4\pi r^2} \\\\\frac{dr}{dt}=-\frac{12}{4\pi (\sqrt[3]{\frac{225}{\pi }})^2} \\\\\frac{dr}{dt}=-\frac{3}{\pi \left(\sqrt[3]{\frac{225}{\pi }}\right)^2}\\\\\frac{dr}{dt}=-\frac{3}{\pi \frac{225^{\frac{2}{3}}}{\pi ^{\frac{2}{3}}}}\\\\\frac{dr}{dt}=-\frac{3}{225^{\frac{2}{3}}\pi ^{\frac{1}{3}}} \approx -0.05537 \:\frac{ft}{h}$

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4 years ago

Solve plz<br> $8.6 + .9 + 20 + .63

strojnjashka [21]

30.13 is the correct answer

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3 years ago

Why must a right isosceles triangle have two 45 degree angles ?

Papessa [141]

Answer:

because they add up to 90 and a right angle is 90 itself which would give you 180

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4 years ago