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Alex787 [66]
3 years ago
11

The volume of a prism is 45 yd3. What would change if the volume of the prism were measured in cubic feet?. A.The volume of the

prism would decrease. B.The volume of the prism would increase. C.The volume of the prism stays the same, but the number representing the volume increases. D.The volume of the prism stays the same, but the number representing the volume decreases.
Mathematics
1 answer:
Blababa [14]3 years ago
4 0
45 yard  = 1215 cubic feet

Based on that, i think the answer is : C. The Volume of the prisms stays the same, but the number representing the volume increases

Yard and feet are only unit of measurement. Changing this does not affect the actual volume

hope this helps
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use Taylor's Theorem with integral remainder and the mean-value theorem for integrals to deduce Taylor's Theorem with lagrange r
Vadim26 [7]

Answer:

As consequence of the Taylor theorem with integral remainder we have that

f(x) = f(a) + f'(a)(x-a) + \frac{f''(a)}{2!}(x-a)^2 + \cdots + \frac{f^{(n)}(a)}{n!}(x-a)^n + \int^a_x f^{(n+1)}(t)\frac{(x-t)^n}{n!}dt

If we ask that f has continuous (n+1)th derivative we can apply the mean value theorem for integrals. Then, there exists c between a and x such that

\int^a_x f^{(n+1)}(t)\frac{(x-t)^k}{n!}dt = \frac{f^{(n+1)}(c)}{n!} \int^a_x (x-t)^n d t = \frac{f^{(n+1)}(c)}{n!} \frac{(x-t)^{n+1}}{n+1}\Big|_a^x

Hence,

\int^a_x f^{(n+1)}(t)\frac{(x-t)^k}{n!}d t = \frac{f^{(n+1)}(c)}{n!} \frac{(x-t)^{(n+1)}}{n+1} = \frac{f^{(n+1)}(c)}{(n+1)!}(x-a)^{n+1} .

Thus,

\int^a_x f^{(n+1)}(t)\frac{(x-t)^k}{n!}d t = \frac{f^{(n+1)}(c)}{(n+1)!}(x-a)^{n+1}

and the Taylor theorem with Lagrange remainder is

f(x) = f(a) + f'(a)(x-a) + \frac{f''(a)}{2!}(x-a)^2 + \cdots + \frac{f^{(n)}(a)}{n!}(x-a)^n + \frac{f^{(n+1)}(c)}{(n+1)!}(x-a)^{n+1}.

Step-by-step explanation:

5 0
3 years ago
Find the radius. Round to the nearest tenth.
Arlecino [84]

Answer:

Step-by-step explanation:

V = 1/3 * pi * r^2 * h

r = ?

pi = 3.14

h = 17 cm

3*V = pi * r^2 h = r^2    Divide by pi

3*V/pi = r^2 h  = r^2     Divide by h

3*V/(pi*h)         =r^2      Take the square root of the left to get just  r

sqrt(3*V/(pi*h))  = r         Now solve the equation.

sqrt(3*538.25 /(3.14*17)) = r

sqrt(1614 / 53.38) =

r = sqrt(30.24)

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2 years ago
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Ilia_Sergeevich [38]

Answer:

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Step-by-step explanation:

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3 years ago
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<u>Answer:</u>

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<u>Step-by-step explanation:</u>

let \space\ y = f(x)\\\\y = 9x -3\\

• Now make x the subject of the equation:

9x = y + 3\\\\x = \frac{y + 3}{9} \\

• Replace x with f⁻¹(x) and y with x:

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6 0
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11111nata11111 [884]

Answer:

What are the given expressions??

Step-by-step explanation:

Since I can't see you're options, I'll just give you an answer that'll hopefully help...

5³ = 125

Hope that helps you!!  :)

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3 years ago
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