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Tcecarenko [31]
2 years ago
11

What is 1/2 to the negative power of 2 using exponent rules

Mathematics
1 answer:
Otrada [13]2 years ago
7 0
Negative exponents mean that the base is on the wrong side of the fraction line. For example, x^-2 is the same as 1/x^2. In this example, 1/2^-2 would be 2.

2/1^2 = 2
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Complete the equation of the line through (-9,-9) and (-6,0)
Rudik [331]

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

y = mx + b

Where:

m: It is the slope of the line

b: It is the cut-off point with the y axis.

According to the data of the statement we have the following points:

(x_ {1}, y_ {1}): (- 9, -9)\\(x_ {2}, y_ {2}): (- 6,0)

We found the slope:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {0 - (- 9)} {- 6 - (- 9)} = \frac { 9} {- 6 + 9} = \frac {9} {3} = 3

Thus, the equation is of the form:

y = 3x + b

We substitute one of the points and find b:

0 = 3 (-6) + b\\0 = -18 + b\\b = 18

Finally, the equation is:

y = 3x + 18

Answer:

y = 3x + 18

7 0
3 years ago
C = 188.4in <br> What’s the answer
Advocard [28]

Answer:

Well from where the equation is now, I don't see any further things I can do. What is the context of the problem?

Step-by-step explanation:

7 0
3 years ago
A fully-loaded truck is carrying grain to a storage silo. if the truck is 8 feet wide, 40 feet long, and 4 feet deep, how many b
lukranit [14]
8 x 40 x 4 = 1280 cubic feet

1.25 cubic feet = 1 bushel
1 cubic feet = 1/1.25 = 0.8
1280 cubic feet = 0.8 x 1280 = 1024 bushel
7 0
3 years ago
Read 2 more answers
Robin baked 702 cookies.He sold them in boxes of 18. After selling all of the boxes of cookies for the same amount each, he earn
loris [4]

Answer:

cost of a box is $3.5

Step-by-step explanation:

given data

sold box = 18

earned = $136.50

solution

we consider here number of boxes of cookies is x

and

for we get Tyler sold  cookies box so number of boxes we divide 702 cookies among 18 is

Tyler sold  = \frac{702}{18}

Tyler sold  = 39 boxes

and

now we consider here y as cost of each box of cookies,

so for cost or sale price of the cookie boxes here we divided 136.50 dollars among 39 boxes

so

cost of each box = \frac{136.5}{39}

cost of each box = 3.5

Thus, the cost of each box was 3.5

3 0
3 years ago
The trapezoid below has been enlarged by a scale of 1.5. A trapezoid with an area of 36 inches squared. What is the area of the
Viktor [21]

Answer:

B.  81\text{ in}^2

Step-by-step explanation:

We have been given that the trapezoid shown in the attachment has been enlarged by a scale of 1.5. We are asked to find the area of the enlarged trapezoid.

The area of the original trapezoid is 36 square inches.

Since each side of the trapezoid is enlarged 1.5 times, so the area of new trapezoid would be 2.25 times greater than area of original trapezoid.

The area would be 2.25 times greater because area is product of sum of lengths of parallel sides and height.

1.5\times 1.5=2.25

\text{Area of new trapezoid}=2.25\times 36\text{ in}^2

\text{Area of new trapezoid}=81\text{ in}^2

Therefore, the area of the enlarged trapezoid would be 81\text{ in}^2 and option B is the correct choice.

7 0
3 years ago
Read 2 more answers
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