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2 years ago

Find the volume of the sphere. Round your answer to the nearest tenth.

Mathematics

1 answer:

shepuryov [24]2 years ago

5 0

Answer:

179.50

Step-by-step explanation:

The formula for calculating pi is as followed: 4/3·π·r³

The question is either asking to calculate using 3.14 for π or add π at the end of your answer instead of completing it. I will substitute π for 3.14.

∴V=4/3·3.14·3.5³

V=179.503333333

Round your answer to the nearest hundredth:

179.503333333 rounded to the nearest hundredth becomes 179.50

∴V=179.50

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Another way to answer this question is to use the same formula; but not substitute 3.14 into the answer.

V=π.4/3·r³

V=π·57.1666666667

Round 57.1666666667: 57.17

V=57.17π

Either one would work. Hope this works.

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A particular model of walkie-talkie can broadcast in a circular area. The radius of the broadcast area is 7,000 feet. Find the a

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Step-by-step explanation:

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3 years ago

Read 2 more answers

How do you solve 3/4 (5+x) + 4 = 3x + 1? Thanks:)

elena-s [515]

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3 years ago

If (x^2 - 1) is a factor of ax^4 + bx^3 + cx^2 + dx + e, show that a + c + e = b + d = 0

alisha [4.7K]

$x^2-1=x^2-1^2=(x-1)(x+1)$

If x²-1 is a factor of the polynomial, both x-1 and x+1 are factors of it.

According to the remainder theorem, if a binomial x-a is a factor of a polynomial p(x), then p(a)=0.

If x-1 and x+1 are factors of the polynomial p(x)=ax⁴+bx³+cx²+dx+e, then p(1)=0 and p(-1)=0.

$p(1)=a \times 1^4+b \times 1^3 + c \times 1^2+ d \times 1+e \\
p(-1)=a \times (-1)^4 + b \times (-1)^3 + c \times (-1)^2 + d \times (-1)+e \\ \\
p(1)=a+b+c+d+e \\
p(-1)=a-b+c-d+e \\ \\
p(1)=0 \\
p(-1)=0 \\ \\ \hbox{add both equations:} \\
a+b+c+d+e=0 \\
\underline{a-b+c-d+e=0} \\
2a+2c+2e=0 \\
2(a+c+e)=0 \\
a+c+e=0 \\ \\
\hbox{substitute 0 for a+c+e in the first equation:} \\
a+b+c+d+e=0 \\
(a+c+e)+b+d=0 \\
0+b+d=0 \\
b+d=0 \\ \\
\boxed{a+c+e=b+d=0} \\
\hbox{proved } \checkmark$

8 0

3 years ago

What value of x is in the solution set of 4x – 12 5 16 + 8x?

TEA [102]

Answer:

$4x-12= 16 +8x$

And we can subtract 4x in both sides and we got:

$-12 = 16 +4x$

Now we can subtract in both sides 16 and we got:

$-28 = 4x$

And if we divide both sides by 4 we got:

$x = -7$

And the best solution would be:

-7

Step-by-step explanation:

For this case we assume the following equation:

$4x-12= 16 +8x$

And we can subtract 4x in both sides and we got:

$-12 = 16 +4x$

Now we can subtract in both sides 16 and we got:

$-28 = 4x$

And if we divide both sides by 4 we got:

$x = -7$

And the best solution would be:

-7

8 0

3 years ago

Find the mode of 4, 6, 2, 5, 3, 4, 2, 6, 1, 7, 4, 3, and 8.<br>

BartSMP [9]

Answer:

Step-by-step explanation:

The mode is the most recurring number. Since 4 occurs the most in the list, the mode is 4

3 0

3 years ago