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3 years ago

What is the volume of the rectangular prism? 1/3ft

Mathematics

1 answer:

IrinaVladis [17]3 years ago

7 0

We know that 1 cube equals 1/3. If you count the rectangular prism, you learn that there are 30 cubes in total that make up the rectangular prism. So what I did was 1/3 times 30. You could also divided 1 by 3, and get 0.3333333333, which is equal to 1/3 (1/3 = 0.3333333333) So, you should come out with ten. Thus your answer would be D, 10ft cubed.

Hope this helps :)

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3 years ago

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3 years ago

Give a vector parametric equation for the line through the point (−2,−4,0) that is parallel to the line ⟨−2−3t,1−4t,−5t⟩:

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The tangent vector for the given line is

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Multiply this vector by some scalar t to get a whole set of vectors, essentially stretching or contracting the vector ⟨-3, -4, -5⟩. This set is a line through the origin.

Now translate this set of vectors by adding to it the vector ⟨-2, -4, 0⟩, which correspond to the given point.

Then the equation for this new line is simply

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3 years ago

A company is selecting 6 people to be on a committee. There are 29 employees eligible to be on the committee. What is the total

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Answer: 342014400

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Given : A company is selecting 6 people to be on a committee.

Total employees eligible to be on the committee=29

Since each employee will have a different position on the committee, thus order matters here , so we use Permutations.

Number of permutation of n thing taking m things at a time is given by :-

$^nP_m=\dfrac{n!}{(n-m)!}$

Then, the number of permutation of 29 employees taking 6 at a time will be :-

$^{29}P_6=\dfrac{29!}{(29-6)!}\\\\=\dfrac{29\times28\times27\times26\times25\times24\times23!}{23!}\\\\=342014400$

Hence, the total number of ways the committee may be formed = 342014400

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3 years ago