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dybincka [34]
3 years ago
6

Determine the volume of the shaded region.

Mathematics
1 answer:
vovangra [49]3 years ago
5 0
The volume of the shaded region is 1650 cubic feet.

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We are given a sequence of five non-zero numbers, where the sum of each term and its neighboring terms is 15 or 25. Find the sum
PSYCHO15rus [73]

We have a sequence that meets the given criteria, and with that information, we want to get the sum of all the terms in the sequence.

We will see that the sum tends to infinity.

So we have 5 terms;

A, B, C, D, E.

We know that the sum of each term and its neighboring terms is 15 or 25.

then:

  • A + B + C = 15 or 25
  • B + C + D = 15 or 25
  • C + D + E = 15 or 25

Now, we want to find the sum of all the terms in the sequence (not only the 5 given).

Then let's assume we write the sum of infinite terms as:

a_1 + a_2 + a_3 + a_4 + a_5 + a_6 + ...

Now we group that sum in pairs of 3 consecutive terms, so we get:

(a_1 + a_2 + a_3) + (a_4 + a_5 + a_6) + ...

So we will have a sum of infinite of these, and each one of these is equal to 15 or 25 (both positive numbers). So when we sum that infinite times (even if we always have the smaller number, 15) the sum will tend to be infinite.

Then we have:

(a_1 + a_2 + a_3) + (a_4 + a_5 + a_6) +  ... \to \infty

If you want to learn more, you can read:

brainly.com/question/21885715

3 0
2 years ago
Julie Meyer is the manger for Ace trucking company.during December she worked 165 hours earning 27 an hour.what was her straight
OlgaM077 [116]
The answer is 4,455. 27×165=4,455.
8 0
3 years ago
Read 2 more answers
A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 411 gram setting. It
nikdorinn [45]

Answer:

0.0445937

Step-by-step explanation:

-Given that the sample statistic has a mean of 406 grams, standard deviation of sq root(225) and the null statistic is 411 grams.

-Assuming normal distribution, the test statistic is calculated as:

z=\frac{Sample \ statistic-Null \ statistic}{\sigma/\sqrt{n}}\\\\=\frac{406-411}{\sqrt{225/26}}\\\\=-1.6997

-we then find the p-value of the test statistic from the z-tables:

P-value=0.0445937

8 0
3 years ago
the perimeter of an equilateral triangle is 4 cm more than the perimeter of a square and the length of a side of the triangle is
Marianna [84]
Length of the side of the equilateral triangle is 4cm
5 0
3 years ago
75250 tickets were available for an international cricket match. 62% of the tickets were sold
Ilia_Sergeevich [38]

Answer:

46655

Step-by-step explanation:

75250 \cdot \frac{62}{100} = 46655

8 0
2 years ago
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