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3 years ago

To get rid of a negative exponent, move the part with the negative exponent to the other side of the_________(blank)

Mathematics

1 answer:

IRINA_888 [86]3 years ago

5 0

Answer:

fraction

Step-by-step explanation:

If you have a negative exponent, such as $x^{-2}$ , that can also be written as $\frac{x^{-2} }{1}$

by moving the exponent (and it's base) to the denominator (the other side of the fraction, since it's in the numerator), you make the exponent positive: $\frac{1}{x^{2} }$

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The wavelength of red light in a spectrum is about 0.0000007 meters. Which

Nana76 [90]

Answer:

$0.0000007$

And if we count the number of zeros before the number 7, we can rewrite the number like this:

$7x10^{-7}$

We cansolve this problem also counting the number of positions that we need to move the decimal point to the right in order to obtain the first number (7)

And the best option would be:

B. 7 x 10-7

Step-by-step explanation:

For this case we have the following number given:

$0.0000007$

And if we count the number of zeros before the number 7, we can rewrite the number like this:

$7x10^{-7}$

We cansolve this problem also counting the number of positions that we need to move the decimal point to the right in order to obtain the first number (7)

And the best option would be:

B. 7 x 10-7

8 0

3 years ago

F(x)=3/2(x-2)^2-24 <br>put this in standard form

gregori [183]

Answer:

f(x) = 3x^2 - 12x - 36.

Step-by-step explanation:

f(x) =3 /2(x - 2)^2 - 24

f(x) = 3/2 (x^2 - 4x + 4) - 24

f(x) = 3/2 x^2 - 6x + 6 - 24

f(x) = 3/2 x^2 - 6x - 18

Multiply through by 2:

f(x) = 3x^2 - 12x - 36.

6 0

3 years ago

SSSSS [86.1K]

7. y = 1, AB = 1, BD = 10 and AD = 11

8. x = 5, AB = 20 and BC = 20

9. x= 5 and AB = 33

10. No, because AC = 12.5 while AB + BC = 20 (they should equal the same and they don't.)

7 0

3 years ago

What is the surface area of the rectangular prism?

trasher [3.6K]

220in
Just did the quiz.

4 0

3 years ago

Read 2 more answers

Nitella [24]

Since profit can't be negative, the production level that'll maximize profit is approximately equal to 220.

<h3>How to find the production level that'll maximize profit?</h3>

The cost function, C(x) is given by 12000 + 400x − 2.6x² + 0.004x³ while the demand function, P(x) is given by 1600 − 8x.

Next, we would differentiate the cost function, C(x) to derive the marginal cost:

C(x) = 12000 + 400x − 2.6x² + 0.004x³

C'(x) = 400 − 5.2x + 0.012x².

Also, revenue, R(x) = x × P(x)

Revenue, R(x) = x(1600 − 8x)

Revenue, R(x) = 1600x − 8x²

Next, we would differentiate the revenue function to derive the marginal revenue:

R'(x) = 1600 - 8x

At maximum profit, the marginal revenue is equal to the marginal cost:

1600 - 8x = 400 − 5.2x + 0.012x

1600 - 8x - 400 + 5.2x - 0.012x² = 0

1200 - 2.8x - 0.012x² = 0

0.012x² + 2.8x - 1200 = 0

Solving by using the quadratic equation, we have:

x = 220.40 or x = -453.73.

Since profit can't be negative, the production level that'll maximize profit is approximately equal to 220.

Read more on maximized profit here: brainly.com/question/13800671

#SPJ1

6 0

2 years ago