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2 years ago

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On a road trip, Maura drove at a speed of 60 miles per hour for the first two hours.she then increased her speed by 25%.

1 answer:

xxMikexx [17]2 years ago

6 0

So Maura was driving 60 miles per hour for two hours. That's 60x2 which equals 120 miles in the two hours she's been driving. After two hours she increases her speed by 25%. 25% of 60 is 15, so she is now going 75 miles per hour (Part A). If she continues to drive this way, the equation would be 75xh=d. 75 being how fast she's going and h being the number of hours she's gone. If you multiple those two together it will give you the distance she's gone (Part B). If you substitute the 5 hours from Part C the equation would be 75 miles multiplied by 5 hours. 75x5= 375 miles.

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The following formula for the sum of the cubes of the first n integers is proved in Appendix E. Use it to evaluate the limit in

Marina86 [1]

Answer:

$\lim_{n\to\infty} (1+ \frac{2}{n} +\frac{1}{n^2})$

And when we apply the limit we got that:

$\lim_{n\to\infty} (1+ \frac{2}{n} +\frac{1}{n^2}) =1$

Step-by-step explanation:

Assuming this complete problem: "The following formula for the sum of the cubes of the first n integers is proved in Appendix E. Use it to evaluate the limit . 1^3+2^3+3^3+...+n^3=[n(n+1)/2]^2"

We have the following formula in order to find the sum of cubes:

$\lim_{n\to\infty} \sum_{n=1}^{\infty} i^3$

We can express this formula like this:

$\lim_{n\to\infty} \sum_{n=1}^{\infty}i^3 =\lim_{n\to\infty} [\frac{n(n+1)}{2}]^2$

And using this property we need to proof that: 1^3+2^3+3^3+...+n^3=[n(n+1)/2]^2

$\lim_{n\to\infty} [\frac{n(n+1)}{2}]^2$

If we operate and we take out the 1/4 as a factor we got this:

$\lim_{n\to\infty} \frac{n^2(n+1)^2}{n^4}$

We can cancel $n^2$ and we got

$\lim_{n\to\infty} \frac{(n+1)^2}{n^2}$

We can reorder the terms like this:

$\lim_{n\to\infty} (\frac{n+1}{n})^2$

We can do some algebra and we got:

$\lim_{n\to\infty} (1+\frac{1}{n})^2$

We can solve the square and we got:

$\lim_{n\to\infty} (1+ \frac{2}{n} +\frac{1}{n^2})$

And when we apply the limit we got that:

$\lim_{n\to\infty} (1+ \frac{2}{n} +\frac{1}{n^2}) =1$

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2 years ago

Plz help!!! Calvin is filling the pool in his backyard with water. If the pool is in the shape of a cylinder with a diameter of

Gekata [30.6K]

Answer: 424.115

Step-by-step explanation:

(Pi)6^2(5) =565.49

3/4 = 424.115

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2 years ago

Read 2 more answers

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pochemuha

The answer is 8 ihinghkki

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2 years ago

You are checking the intermediate results of a phone app that calculates the weight of an object in kilograms given the weight i

Illusion [34]

The wrong step is step 4, because you only need one conversion.

The formula to convers pounds to kilograms is

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Obviously, the inverse formula is

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So, you're given an input of 142 pounds. To convert it in kilograms, plug that value into out formula:

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and this is the answer you're looking for, so you need no more steps.

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