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Ivan
4 years ago
10

Mayra took a trip to El Salvador to visit her family for Christmas. It took 9 and a half hours to get there and they made 3 stop

s, how long did it take to arrive to each destination?
Mathematics
1 answer:
klio [65]4 years ago
4 0
It took 30 minutes to arrive to each destination
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∫<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bxdx%7D%7B%28x%5E%7B2%7D%2B4%29%5E%7B3%7D%20%7D" id="TexFormula1" title="\frac{xdx}{
photoshop1234 [79]

Substitute u=x^2+4 and du=2x\,dx. Then the integral transforms to

\displaystyle \int \frac{x\,dx}{(x^2+4)^3} = \frac12 \int \frac{du}{u^3}

Apply the power rule.

\displaystyle \int \frac{du}{u^3} = -\dfrac1{2u^2} + C

Now put the result back in terms of x.

\displaystyle \int \frac{x\,dx}{(x^2+4)^3} = \frac12 \left(-\dfrac1{2u^2} + C\right) = -\dfrac1{4u^2} + C = \boxed{-\dfrac1{4(x^2+4)^2} + C}

3 0
2 years ago
Help I keep getting an answer that is not an option
horsena [70]

Answer:

6600

Step-by-step explanation:

y = 15000( 1.2) ^ (x/3)

Let x = 6 years

y = 15000( 1.2) ^ (6/3)

y = 15000( 1.2) ^ (2)

y = 15000( 1.44)

y =21600

This is the total amount in the account

We want the profit

Subtract the original amount in the account

21600-15000

6600

8 0
3 years ago
How many kilometers in a marathon​
irina [24]

Answer:

42.194988

Step-by-step explanation:

There are 42.194988 km in 1 marathon

5 0
4 years ago
What is the length, in centimeters, of the hypotenuse of a right triangle with legs measuring V2 cm and 3 cm?​
WINSTONCH [101]

Answer:

\sqrt{13}

Step-by-step explanation:

A is the hyp. And b/c are the sides

A²=b²+c²=3²+2²=9+4=13

Now take the square root of 13 as the answer

5 0
3 years ago
How do you solve P=IRT. Please show the step by steo solution.
galina1969 [7]
<span>P= IRT solve for T To solve for T, you must get T on it's own on one side of the equals sign, with all the other terms on the other side. IRT means that I and R are multiplied by T. To get rid of them we must do the opposite of multiply, which is divide. But because this is an equation, anything we do on one side of the equals sign, must be repeated on the other side. So if we divide the right side by IR, we must also divide the left side by IR</span>
5 0
3 years ago
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