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TEA [102]
3 years ago
10

A sphere has a radius of 12 inches. A second sphere has a radius of 9 inches. What is the difference of the volumes of the spher

es?
The volume of the larger sphere is π
cubic inches greater than the volume of the smaller sphere.
Mathematics
1 answer:
just olya [345]3 years ago
3 0

Answer:

Solution given;

for sphere

radius [r]:12inches

another

radius [R]:9inches

Now

difference in volume of sphere:

volume of sphere of having radius [r-R]

=\frac{4}{3} πr³-\frac{4}{3} πR³

=\frac{4}{3} π(12³-9³)

= 1332π cubic inches

The volume of the larger sphere is <u>___1332</u>__π cubic inches greater than the volume of the smaller sphere.

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MAVERICK [17]

Answer:

a) $40920

b) $38500

Step-by-step explanation:

Given:

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Mean = $40300

Median = $38500

Min = $32000

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$32000+$3100=$35100

a) If the mean was $40300, then the sum of 5 salaries is

\$40300\cdot 5=\$201500

After raising the lowest salary the sum becomes

\$201500+\$3100=\$204600

and new mean is

\dfrac{\$204600}{5}=\$40920

b) The  lowest salary becomes $35100. It is still smaller than the median, so the new median is the same as the old one.

New median = $38500

5 0
3 years ago
Use the spinner to identify the probability to the nearest hundredth of the pointer landing on a non-shaded area. HELP PLEASE!!
Tatiana [17]

the correct answer should be:

1. 0.56

2. 0.31

8 0
3 years ago
How do you do this. Please give a full answer and explain why.
OverLord2011 [107]

<u>L</u><u>a</u><u>w</u><u> </u><u>o</u><u>f</u><u> </u><u>E</u><u>x</u><u>p</u><u>o</u><u>n</u><u>e</u><u>n</u><u>t</u>

\displaystyle \large{ {a}^{ - n}  =  \frac{1}{ {a}^{n} } }

Compare the terms.

\displaystyle \large{ {a}^{ - n}  =   {( - 2)}^{ - 3} }

Therefore, a = -2 and n = 3. From the law of exponent above, we receive:

\displaystyle \large{ {( - 2)}^{ - 3}  =  \frac{1}{ {( - 2)}^{ 3} } }

<u>E</u><u>x</u><u>p</u><u>o</u><u>n</u><u>e</u><u>n</u><u>t</u><u> </u><u>D</u><u>e</u><u>f</u><u>.</u> (For cubic)

\displaystyle \large{ {a}^{3}  = a \times a \times a }

Factor (-2)^3 out.

\displaystyle \large{ {( - 2)}^{ - 3}  =  \frac{1}{( - 2) \times ( - 2) \times ( - 2)}}

(-2) • (-2) = 4 | Negative × Negative = Positive.

\displaystyle \large{ {( - 2)}^{ - 3}  =  \frac{1}{4 \times ( - 2)}}

4 • (-2) = -8 | Negative Multiply Positive = Negative.

\displaystyle \large{ {( - 2)}^{ - 3}  =  \frac{1}{  - 8}}

If either denominator or numerator is in negative, it is the best to write in the middle or between numerator and denominators.

Hence,

\displaystyle \large \boxed{ {( - 2)}^{ - 3}  =  -  \frac{1}{  8}}

The answer is - 1 / 8

3 0
3 years ago
issac opens his bank account with $500. he deposits $40 each month? write a function that shows the amount in isaacs account aft
bearhunter [10]
500-40x7 soooo your answer would be 220
4 0
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A rectangle has an area of 130m2.
leonid [27]

Answer:

62

Step-by-step explanation:

7 0
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