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3 years ago

The volume of a sphere is 36π cubic feet. What is the radius of the sphere? (V = 4 3 πr3)

Mathematics

1 answer:

MrRa [10]3 years ago

6 0

radius = 3 feet

rearrange the formula making r the subject

$\frac{4}{3}$ πr³ = V ( multiply both sides by 3 to eliminate fraction )

4πr³ = 3V ( divide both sides by 4π )

r³ = $\frac{3V}{4\pi }$ = ( 3 × 36π ) / 4π = 3 × 9 = 27

take the cube root of both sides

r = $\sqrt[3]{27}$ = 3

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Slick Slack is a downloadable app that can be used to automatically generate excuses for being late to work based on the weather

Greeley [361]

Answer:

$(x_1,y_1) = (1,5840)$

$(x_2,y_2) = (2,13090)$

$y = 1812.5x + 4027.5$

$y_0 = 4027.5$ --- y intercept

Step-by-step explanation:

Given:

x = weeks; y = copies

The right parameters are:

After 1 week, 5840 copies were downloaded

After 5 weeks, 13090 copies were downloaded

So, the (x,y) forms are:

$(x_1,y_1) = (1,5840)$

$(x_2,y_2) = (5,13090)$

Next, we calculate the slope (m) using:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{13090 - 5840}{5 - 1}$

$m = \frac{7250}{4}$

$m = 1812.5$

The equation is then calculated using:

$y = m(x - x_1) + y_1$

$y = 1812.5(x - 1) + 5840$

$y = 1812.5x - 1812.5 + 5840$

$y = 1812.5x + 4027.5$

To calculate the y intercept, substitute 0 for x

$y_0 = 1812.5*0 + 4027.5$

$y_0 = 0 + 4027.5$

$y_0 = 4027.5$

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2 years ago

I NEED THIS DONE IN 3 HOURS AND I CANT FIGURE IT OUT PLEASE HELP

MAVERICK [17]

1. option 1

2. option 1

3. option 4

4. option 1

5. option c

explanation is in picture attached.

excuse me.for my bad handwriting

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3 years ago

Slope= 5 and passes through (-2,0) in slope-intercept form

lilavasa [31]

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept

We have the slope m = 5 → $y=5x+b$

and point (-2, 0). Substitute:

$0=-2(5)+b$

$0=-10+b$ <em>add 10 to both sides</em>

$10=b\to b=10$

<h3>Answer: y = 5x + 10</h3>

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3 years ago

The math test has 15 multiple choice questions, each with 3 answers. If Betty guesses correctly on the first 4 questions,

Sonbull [250]

Answer:

90 percent

Step-by-step explanation:

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3 years ago

Plz help due tomorrow!!!!

Talja [164]

Answer:

E' = (-4, 3) Answer C in your list of options

See attached image for the plot.

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Recall that a rotation in 180 degrees around the origin produces the following change in coordinates: (x, y) --> (-x, -y)

Therefore, since we read the coordinates of point E as: (-4, 3),

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3 years ago