Powers of 10 with positive exponents are: less than 1 greater than 1

Solve for x. 2/x = 6/2

irakobra [83]

The answer is x=2/3!! Hope this helped

8 0

3 years ago

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5 divided by 3670 equals

Anvisha [2.4K]

Answer:

.0013623978

Step-by-step explanation:

8 0

4 years ago

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Evaluate using the finite geometric sum formula

Sever21 [200]

Answer:

$S_9=-18.703$ .

Step-by-step explanation:

The given series is,

$\sum_{i=1}^9(-\frac{1}{2})^{i-1}$

When we substitute $i=1$ , we get the first term, which is $a_1=-28(-\frac{1}{2})^{1-1}$

This implies that,

$a_1=-28(-\frac{1}{2})^{0}$

$a_1=-28(1)=-28$ .

The common ratio is

$r=-\frac{1}{2}$

The finite geometric sum is given by the formula,

$S_n=\frac{a_1(r^n-1)}{r-1} , -1\:$ .

Since there are 9 terms, we find the sum of the first nine terms by putting $n=9$ in to the formula to get,

$S_9=\frac{-28((-\frac{1}{2})^9-1)}{-\frac{1}{2}-1}$ .

$S_9=\frac{-28((-\frac{1}{512})-1)}{-\frac{3}{2}}$ .

$S_9=\frac{-28(-\frac{513}{512})}{-\frac{3}{2}}$ .

$S_9=-28(\frac{171}{256})$ .

$S_9=-\frac{1197}{64}$ .

$S_9=-18.703$ .

The correct answer is B

4 0

3 years ago

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The perimeter of a rectangle is 56 inches. The length is 4 more than 3 times the width. What are the dimensions of the rectangle

VashaNatasha [74]

Let the length be x and the width be y, then
2x + 2y = 56
x + y = 28 . . . (1)
x = 4 + 3y . . . (2)

Putting (2) into (1) gives
4 + 3y + y = 28
4y = 28 - 4 = 24
y = 24/4 = 6
x = 4 + 3(6) = 4 + 18 = 22

Therefore, length is 22 inches and width is 6 inches.

5 0

4 years ago

The perpendicular bisector of the line segment connecting the points (-3,8) and (-5,4) has an equation of the form y = mx + b. F

omeli [17]

Answer:

Step-by-step explanation:

find the slope

$\frac{4-8}{-5-(-3)} =\frac{-4}{-2} \\\\slope=2\\y=mx+b\\y=2x+b\\$