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givi [52]
3 years ago
5

Multiply.

Mathematics
1 answer:
Lena [83]3 years ago
6 0
<span>(4.214) x (3.06) = 12.89484 and can be rounded up to 12.9</span>
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Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=1/x^5, y=0,
igomit [66]
If you wanted to rotate f(x) around the y axis from x=a to x=b then the volume would be
\pi  \int\limits^a_b {(f(x))^2)} \, dx


that would be

\pi \int\limits^8_1 {(\frac{1}{x^5})^2} \, dx
\pi \int\limits^8_1 {\frac{1}{x^{10}}} \, dx
1/x^10=x^-10
integrate
-1/(9x^9)
so
\pi \int\limits^8_1 {\frac{1}{x^{10}}} \, dx=
\pi [\frac{-1}{9x^{9}}]^8_1=\pi (\frac{-1}{9(8^{9})}-\frac{-1}{9(1^{9})})=
\pi (\frac{-1}{9(8^{9})}+\frac{1}{9(1^{9})})=\pi (\frac{-1}{9(8^{9})}+\frac{1}{9})=
\pi (\frac{-1}{9(8^{9})}+\frac{8^9}{9(8^9)})=\pi (\frac{8^9-1}{9(8^{9})})=
(\frac{\pi8^9-\pi}{9(8^{9})})=\frac{134217727 \pi}{1207959552}
that's the volume of the solid
4 0
4 years ago
Which table of ordered pairs represents a proportional relationship?
Shkiper50 [21]

Answer:5

Step-by-step explanation:

7 0
3 years ago
A zucchini plant in Darnell’s garden was 13 centimeters tall when it was first planted. Since then, it has grown approximately 0
Setler79 [48]

Answer:

A zucchini plant in Darnell’s garden was 13 centimeters tall when it was first planted. Since then, it has grown approximately 0.6 centimeter per day. a. Write a rule to describe the function. b. After how many days will the zucchini plant be 0.208 meter tall?

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Step-by-step explanation:

lalamcg115

Ambitious

133 answers

777 people helped

Answer:

Answer: h(d) = 0.6d + 13; 13 days

Step-by-step explanation:

8 0
3 years ago
3 over 2 to the 3rd power
Troyanec [42]

Answer:

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Step-by-step explanation:

6 0
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Read 2 more answers
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fomenos

Answer:

Step-by-step explanation:

12x < 22 + x

11x < 22

x < 2

Option 2 is the answer

5 0
3 years ago
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