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bonufazy [111]
3 years ago
15

What is the volume of the cone with a radius of 10ft and a height of 21ft?round to the nearest cubic foot

Mathematics
1 answer:
sergij07 [2.7K]3 years ago
5 0
V≈ 2199.11ft³V=πr 2nd power h/3=π·10 2nd power·21/3≈2199.11486ft³
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At what values of x does f(x) = x^3 - 2x^2 -4x+1 satisfy the mean value theorwm on [0,1]
denis-greek [22]

Answer:

x=1/3

Step-by-step explanation:

A function f is given as

f(x) = x^3-2x^2-4x+1 in the interval  [0,1]

This function f being an algebraic polynomial is continuous in the interval [0,1] and also f is differntiable in the open interval (0,1)

Hence mean value theorem applies for f in the given interval

f(1) = 1-2-4+1 = -4\\f(0) = 1

The value

\frac{f(1)-f(0)}{1-0} =\frac{-4-1}{1} =-5

Find derivative for f

f'(x) = 3x^2-4x-4

Equate this to -5 to check mean value theorem

3x^2-4x-4=-5\\3x^2-4x+1=0\\\\(x-1)(3x-1) =0\\x= 1/3 : x = 1

We find that 1/3 lies inside the interval (0,1)

4 0
3 years ago
Please answer asap!!!!!!!!!!!!!!!!!!!!!!!!!
Vilka [71]

Answer:

x=60

Step-by-step explanation:

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4 0
3 years ago
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Add the following numbers. (-4) + (-9) =
soldi70 [24.7K]

Answer:

-13

Step-by-step explanation:

Adding a negative means that you subtract the number as + (-) = -

This means that the equation is -4-9=-13.

6 0
3 years ago
What is the slope of the line shown below?
lina2011 [118]

Answer:

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Step-by-step explanation:

BC i just learned this

6 0
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olya-2409 [2.1K]

Answer:

A

Step-by-step explanation:

The explicit formula for a geometric sequence is

f(n) = f(1) (r)^{n-1}

where f(1) is the first term and r the common ratio

Here f(1) = 64 and r = \frac{f(2)}{f(1)} = \frac{16}{64} = \frac{1}{4} , then

f(n) = 64 (\frac{1}{4}) ^{n-1} → A

7 0
3 years ago
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