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mafiozo [28]
3 years ago
11

Find the surface area of a sphere with a volume of 36π in3.

Mathematics
1 answer:
swat323 years ago
6 0
First use known volume to solve for radius:
V=\frac{4}{3}\pi r^{3}
r=\sqrt[3]{\frac{3V}{4\pi}}
r=\sqrt[3]{\frac{3(36\pi)}{4\pi}}
r=\sqrt[3]{27}
r=3

Then use the radius to get the surface area:
A_{surf}=4 \pi r^{2}
A_{surf}=4 \pi 3^{2}
A_{surf}=4 \pi 9
A_{surf}=36\pi\approx113.09
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dmitriy555 [2]

Answer:

g(-4) = 3

Step-by-step explanation:

g(x) = -x - 1

g(-4) = -(-4) - 1

g(-4) = 4 - 1

g(-4) = 3

6 0
3 years ago
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bagirrra123 [75]
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The first quartile can best be described as ______________________.
Zolol [24]

Answer:

A. the median of the lower half of a data set ordered from least to greatest

Step-by-step explanation:

The first quartile can best described as  the median of the lower half of a data set ordered from least to greatest.

Let us explain this with an example, say you're given a set of numbers: {1, 2, 5, 8, 9, 12, 15, 16, 20, 23, 25, 28, 32, 36, 42}. The median for the set is 16, the first quartile is going to be the median of the first half which is 8.

6 0
3 years ago
The population of a town increased from 3650 in 2012 to 4700 in 2014. Find the absolute increase.
aev [14]
Treat this like a slope formula. Y2-y1 divided by x2-x1.
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X1= first year they give.
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3 years ago
The first term of a geometric series is -3, the common ratio is 6, and the sum of the series is -4,665. Using a table of values,
tamaranim1 [39]

Answer:

Option A. 5

Step-by-step explanation:

From the question given above, the following data were obtained:

First term (a) = –3

Common ratio (r) = 6

Sum of series (Sₙ) = –4665

Number of term (n) =?

The number of terms in the series can be obtained as follow:

Sₙ = a[rⁿ – 1] / r – 1

–4665 = –3[6ⁿ – 1] / 6 – 1

–4665 = –3[6ⁿ – 1] / 5

Cross multiply

–4665 × 5 = –3[6ⁿ – 1]

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Divide both side by –3

–23325 / –3 = 6ⁿ – 1

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Collect like terms

7775 + 1 = 6ⁿ

7776 = 6ⁿ

Express 7776 in index form with 6 as the base

6⁵ = 6ⁿ

n = 5

Thus, the number of terms in the geometric series is 5.

8 0
2 years ago
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