What is the quotient of 3/5 and 1/10 A.1/6 B.1/3 C.3 D.6

2 answers:

8 0

3 1 3 10 30
-- ÷ --- Now you flip the second fraction --- x --- = --- Simplify -> 6
5 10 5 1 5
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D.) 6 is your answer

DerKrebs [107]3 years ago

6 0

Hello! And thank you for your question!

Quotient = division.

3/5 divided by 1/10

First use the rule a divided by b/c = a x c/b:

3/5 times 10

Then simplify:

30/5 = 6

Final Answer:

D. 6

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Evaluate the definite integral. <br> 1 x4(1 + 2x5)5 dx.

Nata [24]

Answer:

Step-by-step explanation:

Given the definite integral $\int\limits {\dfrac{x^4}{(1-2x^5)^5} } \, dx$ , we to evaluate it. Using integration by substitution method.

Let u = 1-2x⁵ ...1

du/dx = -10x⁴

dx = du/-10x⁴.... 2

Substitute equation 1 and 2 into the integral function and evaluate the resulting integral as shown;

$= \int\limits {\dfrac{x^4}{u^5} } \, \dfrac{du}{-10x^4}$

$= \dfrac{-1}{10} \int\limits {\dfrac{du}{u^5} } \\\\= \dfrac{-1}{10} \int\limits {{u^{-5}du } \\= \dfrac{-1}{10} [{\frac{u^{-5+1}}{-5+1}] \\\\= \dfrac{-1}{10} ({\frac{u^{-4}}{-4})\\\\$