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Vladimir79 [104]
3 years ago
14

It took Debbie 3.6 hours to drive to her mother's house on Thursday morning. On her return trip on Friday night, traffic was hea

vier, so it took her 4 hours. Her average speed on Friday was 4 mi/hr slower than on Thursday. What was her speed on Friday?
Mathematics
1 answer:
Mrac [35]3 years ago
7 0

Answer:

36 mph

Step-by-step explanation:

d = rt

d = (x)(3.6)

d = (x-4)(4)

3.6x = 4x - 16

-0.4x = -16

x = 40

Her speed was 40 on Thursday, so 36 on Friday

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Find the value of the integral that converges.<br> ∫^-5_-[infinity] x^-2 dx.
Bingel [31]

Answer:

\int_{-\infty}^{-5} x^{-2}dx= \frac{1}{5} + \lim_{x\to -\infty} \frac{1}{x} =\frac{1}{5}

Because the \lim_{x\to -\infty} \frac{1}{x} =0

The integral converges to \frac{1}{5}

Step-by-step explanation:

For this case we want to find the following integral:

\int_{-\infty}^{-5} x^{-2}dx

And we can solve the integral on this way:

\int_{-\infty}^{-5} x^{-2}dx= \frac{x^{-2+1}}{-2+1} \Big|_{-\infty}^{-5}

\int_{-\infty}^{-5} x^{-2}dx= -\frac{1}{x} \Big|_{-\infty}^{-5}

And if we evaluate the integral using the fundamental theorem of calculus we got:

\int_{-\infty}^{-5} x^{-2}dx= \frac{1}{5} + \lim_{x\to -\infty} \frac{1}{x} =\frac{1}{5}

Because the \lim_{x\to -\infty} \frac{1}{x} =0

The integral converges to \frac{1}{5}

8 0
3 years ago
A warehouse store sells 6.5 ounce cans of tuna in packages of 5. A package of 5 cans cost $11.05. The store also sells 5.5 ounce
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I need help with this equation please!<br><br> 15- w/4 = 28
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Answer:

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Step-by-step explanation:

We simplify the equation to the form, which is simple to understand  

15-w/4=28

Simplifying:

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We simplify left and right side of the equation.  

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We divide both sides of the equation by -0.25 to get w.  

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Hope it Helps :) !!

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Step-by-step explanation:

Do that on any calculator and it'll be that (also, if you have any other questions like that, I recommend MathPapa

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3 years ago
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