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Katen [24]
3 years ago
12

Write each expression using exponents

Mathematics
1 answer:
konstantin123 [22]3 years ago
6 0

Answer:

almost positive

Step-by-step explanation:

w^3(x^4 y)

3^3(a x b^4)

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What are the possible values of the missing term in the geometric sequence?<br> 4, _, 9, ...
pashok25 [27]
<h3>Two possible answers: 6 or -6</h3>

==========================================================

Explanation:

r = common ratio

To get any term in a geometric sequence, we multiply the previous term by r.

So that means 4r is the second term, since 4 is the first term.

The third term is (4r)*r = 4r^2, which is equal to 9 as given to us.

4r^2 = 9

4r^2 - 9 = 0

(2r)^2 - (3)^2 = 0

(2r - 3)(2r + 3) = 0  ... difference of squares rule

2r-3 = 0 or 2r+3 = 0

2r = 3 or 2r = -3

r = 3/2 or r = -3/2

r = 1.5 or r = -1.5

We can use each r value to find the possible second term

S = 4r = 4*(1.5) = 6

S = 4r = 4*(-1.5) = -6

The second term is either 6 or -6.

We could have this sequence: 4, 6, 9, ...

Or we could have this sequence: 4, -6, 9, ...

4 0
3 years ago
You are making 8 cups of fruit punch for a party. You have bottles of 75% fruit juice and 25% fruit juice. How many cups of each
slavikrds [6]

Answer:

<em>4 cups of 75% fruit juice and 4 cups of 25% fruit juice should be mixed.</em>

Step-by-step explanation:

Suppose, the amount of 75% fruit juice is x cups.

As the total amount of fruit punch is 8 cups, so the amount of 25% juice will be:  (8-x) cups.

Given that, the percentage of juice in 8 cups fruit punch is 50%

So, the equation will be.........

0.75x+0.25(8-x)= 0.50(8)\\ \\ 0.75x+2-0.25x= 4\\ \\ 0.50x+2=4\\ \\ 0.50x= 2\\ \\ x=\frac{2}{0.50}=4

Thus, the amount of 75% fruit juice is 4 cups

and the amount of 25% fruit juice is (8-4)= 4 cups.

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The answer is 12 5/18 hope it helps
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At the biggining of last year,there were 368 students 72 have moved about how many students are still in school?
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About 296 students are still in the school. but technically, all 368 students are still attending a school, just not the same one.
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What is the value of x?<br><br><br><br> Enter your answer in the box.<br><br> __units
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