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Roman55 [17]
3 years ago
6

If a sphere’s radius is quadrupled, what is the corresponding change in the volume?

Mathematics
1 answer:
vovangra [49]3 years ago
6 0
The volume is proportional to the cube of the radius:
4^3=64
The volume will be 64 times the original value!




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Write a system of equations to describe the situation below, solve using any method, and fill in the blanks. Today's cafeteria s
kobusy [5.1K]

Answer:

Equation 1: 14t + 61s = 150

Equation 2: 14t + 25s = 78

Use Elimination (x)

(-1) (14t + 25s) = (78) (-1)

-14t - 25s = -78

14t + 61s = 150

+ -14t - 25s = -78

--------------------------

36s = 72

s = 2

Salad costs $2

Then find t

14t + 61(2) = 150

14t + 122 = 150

14t = 28

t = 2

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5 0
3 years ago
Seattle, WA and San Francisco, CA lie on the same longitudinal line. San Francisco is at 38° latitude and Seattle is at 47° lati
Helen [10]

Step 1.

Calculate measure of angle α:

47^o-38^o=9^o

Step 2.

Calculate what fraction of the angle 360° ​​is the angle α:

\dfrac{9^o}{360^o}=\dfrac{1}{40}

Step 3.

Calculate the circumference of the Earth (circle):

C=2\pi r\to C=2\pi\cdot4000=8000\pi\ mi

Step 4.

The length of arc is equal 1/40 of the circumference:

\dfrac{1}{40}C=\dfrac{1}{40}\cdot8000\pi=200\pi\ mi

\pi\approx3.14\to\dfrac{1}{40}C\approx200\cdot3.14=628\ mi


<h3>Answer: A) 628 miles</h3>

7 0
4 years ago
Which equation shows how (-10,8) can be used to write the equation of this line in point-slope from?
NeTakaya

Options :

y – 8 = –0.15(x – 10)

y + 8 = –0.15(x – 10)

y – 8 = –0.2(x + 10)

y + 8 = –0.2(x – 10)

Answer:

y – 8 = –0.2(x + 10)

Step-by-step explanation:

(-10, 8)

General equation in point - slope form:

y - y1 = m(x - x1)

m = slope

Given the points : ( - 10, 8)

x1= - 10 ; y1 = 8

y - y1 = m(x - x1)

Substitute the values of x and y into the equation :

y - 8 = m(x - - 10)

y - 8 = m(x + 10)

The best option which fits is :

y – 8 = –0.2(x + 10)

6 0
3 years ago
Read 2 more answers
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m_a_m_a [10]
The second Version of the game is greater for hitting the down button because substituting any number for x, the second equation would always end up having a greater amount.
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3 years ago
George wishes to increase the percent of acid in 50 ml of a 15% acid solution in water
PtichkaEL [24]

Answer:

screw this question

Step-by-step explanation:

To change from 15% to 25% he needs to add 10%.

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3 years ago
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