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3 years ago

Look at picture included helpp aghhh, lots of points will be given!!!

Mathematics

1 answer:

creativ13 [48]3 years ago

8 0

Answer:

a) 677,040 b) 17,160

Step-by-step explanation:

a) this is a combinations problem as it deals with selection, rather than order. you can use a calculator to solve this:

there are 65 objects (colors) taken 4 at a time

(see photo)

there are 677,040 possible ways to arrange the boxes.

b) unlike question a, this is a permutation. the order matters.

since Ali can only visit the cities once, you must multiply by decreasing values starting from 13 down to 10 (4 "slots" for the 4 days)

13*12*11*10 = 17,160 possiblities

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Find all integers $n$ for which $\frac{n^2+n+1}{n-1}$ is an integer.

Grace [21]

$\dfrac{n^2+n+1}{n-1}=\dfrac{(n-1)^2+3(n-1)+3}{n-1}=n-2+\dfrac3{n-1}$

The remainder term $\dfrac3{n-1}$ will never vanish, and will always be rational as long as the denominator is not 1, 3, or -3.

$n-1=1\implies n=2$
$n-1=3\implies n=4$
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3 years ago

A right cylinder and an oblique cylinder have the same radius and the same height. How do the volumes of the two

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Answer:

A. The volumes are the same, based on Cavalieri's principle.

Step-by-step explanation:

Cavalieri's principle tells us the volumes of solids will be identical if their cross sectional areas are identical at every height.

<h3>Application</h3>

A right cylinder and an oblique cylinder of the same height and radius will both have circular cross sections of the given radius at any height. Since the radius is the same, the area of the circle is the same. Hence the requirements of Cavalieri's principle are met, and the cylinders have the same volume.

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2 years ago

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3 years ago

death valley located in the United States is 282 feet below sea level is the level of Galilee located in Israel is 682 feet be

umka21 [38]

Answer:

400 feet.

Explanation:

We need to find the difference between the lowest point of Galilee and the lowest point of Death Valley. We can find this by subtracting the lowest point of Galilee by the lowest point of Death Valley. It says the lowest point of Galilee is 682 feet below sea level and the lowest point of Death Valley is 282 feet below sea level. Therefore, we subtract 682 - 282, which equals 400.

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3 years ago

Please help!!!!!!!!!!!!

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Answer:

Hey u want to join a meet and we can help u out I swear it's going to be fun yzn-dggf-jcq

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3 years ago