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3 years ago

What is the volume of a cylinder that is 81.7% full, has a diameter of 16.4 inches and a height of 3 feet.

1 answer:

5 0

$\bf \textit{volume of a cylinder}\\\\
V=\pi r^2 h~~
\begin{cases}
r=radius\\
h=height\\
------\\
r=8.2\\
h=3
\end{cases}\implies V=\pi 8.2^2(3)\implies V=201.72\pi$

whatever% of anything is just (whatever/100) * anything.

thus, 81.7% of V is just (81.7/100) * V.

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1. The car is slowing down at a rate of 2.5mph/s

2. The greatest acceleration is 10 mph/s.

3. In the interval 4s to 16s the speed remains constant and has magnitude 25 mph.

Step-by-step explanation:

1. The deceleration of the car is from 16 seconds to 24 seconds is the slope $m$ of the graph from 16 to 24:

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2. The automobile experiences the greatest change in speed when the slope is greatest because that is when acceleration/deceleration is greatest.

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Find the equation of the line in slope-intercept form (-1,-1) and (1,0)

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Answer:

An equation in slope-intercept form of the line will be

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Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where m is the slope and b is the y-intercept

Given the points

(-1, -1)

(1, 0)

Finding the slope between (-1,-1) and (1,0)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-1,\:-1\right),\:\left(x_2,\:y_2\right)=\left(1,\:0\right)$

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substituting m = 1/2 and (-1, -1) in the slope-intercept form of the line equation to determine the y-intercept

$y = mx+b$

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$-\frac{1}{2}+b=-1$

Add 1/2 to both sides

$-\frac{1}{2}+b+\frac{1}{2}=-1+\frac{1}{2}$

$b=-\frac{1}{2}$

substituting m = 1/2 and b = -1/2 in the slope-intercept form of the line equation

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