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Alisiya [41]
3 years ago
9

Simplify 28v^4w^3/ 7v^5w^5

Mathematics
1 answer:
Gennadij [26K]3 years ago
4 0

Answer: =4v^9w^8

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The sum of the first k terms in the sequence is 118096, find the value of k. The first term is 78732 the common ratio is 1/3.
FrozenT [24]

Answer:

k = 10

Step-by-step explanation:

The sum of k terms of a geometric sequence with first term a1 and common ratio r is given by ...

... Sk = a1·(1 -r^k)/(1 -r)

For the given numbers, this is ...

... 118096 = 78732·(1 -(1/3)^k)/(1 -1/3)

Manipulating this to get the term containing k, we have

... 1 -(2/3)(118096/78732) = (1/3)^k

... 1/59049 = (1/3)^k

Taking logarithms, we get

... -log(59049) = -k·log(3)

... log(59049)/log(3) = k = 10

8 0
3 years ago
Write the following equation in slope intercept form.<br><br> x-2y=42<br><br> y=__ x+__
professor190 [17]

Answer:

Blank 1: 1/2

Blank 2: -3

Step-by-step explanation:

6 0
4 years ago
A right circular cylinder has a radius of 5 inches and a height of 10 inches. what is its volume?
Aloiza [94]
V=πr2h

v=π(5)^2(10)

v=250π

v=785 inches cubed
6 0
3 years ago
What is this expression in simplest form?<br> x²+x-2/x³-x²+2x-2
Nonamiya [84]

Answer:

Simplified to lowest possible would be \frac{x +2}{x^{2} + 2}

Step-by-step explanation:

4 0
3 years ago
Snow+snow+snow=30<br>Snow+stick+stick=20<br>Stick+2glass+2glass=9<br>Stick+1glass+snow=?
KengaRu [80]
Stick =5
1 glass =1
snow=10
5+1+10= 16
8 0
3 years ago
Read 2 more answers
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