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Nataly_w [17]
3 years ago
6

Please help with these math questions (Please don't answer if you don't know all of them)

Mathematics
1 answer:
lions [1.4K]3 years ago
3 0
1.
volume of cone=(1/3)hpir^2
h=6
r=9
v=(1/3)6pi9^2
v=2pi81
v=162pi
3.14=pi for problem
162 times 3.14=508.68
answer is D




2. 2=r, 24=h
v=(1/3)24pi2^2
v=8pi4
v=32pi

answer is D



3. 10=h
4=r
v=(1/3)10pi4^2
v=(1/3)10pi16
v=(1/3)160pi
v=(160/3)pi

answer is C


4. 9=h
3=r
v=(1/3)9pi3^3
v=3pi9
v=27pi
pi=3.14
v=84.78
84.8 is answer


5. d/2=r12/2=6=r
r=6
h=12
v=(1/3)12pi6^2
v=4pi26
v=144pi
pi=3.14
v=425.16
v=425.2
answer is 425.2


ANSWERS

1. D
2. D
3. C
4.  84.8
5.  425.6
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Answer:

Step-by-step explanation:

Hello, first, let's use the product rule.

Derivative of uv is u'v + u v', so it gives:

f(x)=(x^3-2x+1)(x-3)=u(x) \cdot v(x)\\\\f'(x)=u'(x)v(x)+u(x)v'(x)\\\\ \text{ **** } u(x)=x^3-2x+1 \ \ \ so \ \ \ u'(x)=3x^2-2\\\\\text{ **** } v(x)=x-3 \ \ \ so \ \ \ v'(x)=1\\\\f'(x)=(3x^2-2)(x-3)+(x^3-2x+1)(1)\\\\f'(x)=3x^3-9x^2-2x+6 + x^3-2x+1\\\\\boxed{f'(x)=4x^3-9x^2-4x+7}

Now, we distribute the expression of f(x) and find the derivative afterwards.

f(x)=(x^3-2x+1)(x-3)\\\\=x^4-2x^2+x-3x^3+6x-4\\\\=x^4-3x^3-2x^2+7x-4 \ \ \ so\\ \\\boxed{f'(x)=4x^3-9x^2-4x+7}

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

6 0
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kolezko [41]

ANSWER:

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STEP-BY-STEP EXPLANATION:

Rational numbers are all numbers that can be expressed as a fraction, that is, as the quotient of two whole numbers.

Therefore, an example would be:

\begin{gathered} \frac{4}{5}\text{ and - }\frac{8}{3} \\ \text{adding} \\ \frac{4}{5}+-\frac{8}{3}=\frac{4}{5}-\frac{8}{3} \\ \frac{4}{5}-\frac{8}{3}=\frac{4\cdot3-5\cdot8}{5\cdot3}=\frac{12-40}{15}=-\frac{28}{15} \\ \text{ product} \\ \frac{4}{5}\cdot-\frac{8}{3}=-\frac{4\cdot8}{5\cdot3}=-\frac{32}{15} \end{gathered}

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Answer:

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Step-by-step explanation:

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