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Yuri [45]
3 years ago
9

The question is in the picture

Mathematics
2 answers:
Fed [463]3 years ago
8 0

Answer:

Step-by-step explanation:

For the first question

The missing term is 30

because 5 is being added to every term .

So last known term is 25 and by the sequence we can see that 5 is being added to the last term to make the next one

25+5=30

For the second: Pay attention

Let's say you want to find the nth term of the sequence. (Eg. what will be the 50th number of the series just like 10 is the 1st term of the sequence)

For nth term the formula is :

An= d.n+a1-d

where d is the difference '5' in this case

n is the nth term

a1 is the first term (10 in your case) and again d is the difference of number which is 5

so

an=5n+5 (by substituting values)

now for finding 100th term put 100 in place of n

a100=5(100)+5

a100=505

100th term is 505

SSSSS [86.1K]3 years ago
7 0
The 100th term would be 505.
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For the given set, first calculate the number of subsets for the set, then calculate the number of proper subsets. {18, 8, 14, 9
kicyunya [14]

Answer:

Subsets of the given set = 32

Proper subset of the given set = 31

Step-by-step explanation:

Given set is {18, 8, 14, 9, 6} having 5 elements.

We know number of subsets of a set having n elements are represented by

2^{n}

where n is the number of elements in the set.

Therefore, subsets of the given set = 2^{5}

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Since original set itself is a subset of its own, is not a proper subset.

Therefore, proper subset of a set = 2^{n}-1

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7 0
3 years ago
A hose fills a 10,000-gallon swimming pool at a rate of 10 gallons per minute. what is the domain and range?
defon

Answer:

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Step-by-step explanation:

4 0
3 years ago
15 similar blouses and 2 similar skirts cost $505. 5 such blouses and 2 such
Luden [163]

Answer:

Cost of five blouses = $145

Step-by-step explanation:

Let

x = cost of blouse

y = cost of skirt

15x + 2y = 505 (1)

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Subtract (2) from (1) to eliminate y

15x - 5x = 505 - 215

10x = 290

x = 290/10

x = 29

Substitute x = 29 into (2)

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2y = 215 - 145

2y = 70

y = 70/2

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y = cost of skirt = $35

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Cost of five blouses = $29 × 5

= $145

Cost of five blouses = $145

5 0
2 years ago
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