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Thepotemich [5.8K]
3 years ago
8

Write the sum using summation notation, assuming the suggested pattern continues.

Mathematics
1 answer:
Lyrx [107]3 years ago
8 0

Answer:

second sum

Step-by-step explanation:

Note the given terms are perfect cubes, that is

343 = 7³

512 = 8³

729 = 9³

1000 = 10³

The sequence continues in this way as indicated by the dots ......

The first term is 343 and occurs when n = 7

The sequence is infinite, thus can be expressed as

∑ n³ from n = 7 to infinity

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Quadrilateral QRST is a rectangle. RT = 5x + 1 and QS = 6x – 3. Find QS.
Kaylis [27]

Answer:

21.

Step-by-step explanation:

RT and QS are diagonals of the rectangle and are equal in length.

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John is creating a Thanksgiving display at the store where he works, using only canned pumpkin and canned green beans. He needs
KengaRu [80]

Answer:

90 pumpkin and 36 green beans

Step-by-step explanation:

Because there is a total of 7 parts (5+2) and I divided 126 by 7 and then put five of the 18ns (the quotient of 126 and 7) for pumpkins (so... multiply 18 by 5) then the other to times 18 is 36. And if you add them together, they equal 126.

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3 years ago
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Samantha sends her son, Barry, to a preschool center on certain days. The cost of preschool is $45 per day along with a fixed mo
Hatshy [7]

Answer: Option D

D. 880 = 45d + 70; 18 days

Step-by-step explanation:

We know that the cost of preschool is $ 45 per day plus a monthly fee of $ 70.

We also know that a total of $ 880 was paid last month

To write an equation that represents this situation, let us call d the number of days that Barry attends school

So the cost was:

45d + 70 = 880

Now we solve the equation for the variable d

45d= 880-70

45d= 810

d= \frac{810}{45}

d= 18\ days

The answer is the option D

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4 years ago
Which expression represents the growth of an investment of $2,000 at 4% per year for a period of t years?
VikaD [51]

Answer:

2,000(1.04)t

Step-by-step explanation:

To determine this answer, you would use the formula initial value (1 + interest) times the number of years. This would equal 2,000(1.04)t.

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3 years ago
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