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zheka24 [161]
3 years ago
9

What do you do if you have a variable with a negative exponent?

Mathematics
1 answer:
Scrat [10]3 years ago
3 0
If it is not contained in a fraction write it as one over the variable with a positive exponent
ex. 2^-1 = 1/2. 3^-2 = 1/3² = 1/9

if it is in the denominator of a fraction move it to the numerator and make it positive
ex. 1/4^-1 = 4. 2/3^-2 = 2*3² = 18

if it is in the numerator...you get the picture
ex 6^-2/3 = 1/3*6² = 1/108

hope that helps
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I WILL AWARD BRAINLIEST!!<br> Find the value of x in each case.
kondor19780726 [428]

Angle D is equal to Angle B because AB and DE are parallel to each other.


AD is a straight line so the (2) 2x angles and 72 degrees need to equal 180.

Setting up the equation you have:

2x + 2x + 72 = 180

Simplify:

4x + 72 = 180

Subtract 72 from each side:

4x = 108

Divide both sides by 4:

x = 108 / 4

x = 27



5 0
3 years ago
A lampshade has a height of 12cm and upper and lower diameters of 10cm and 20cm A)what area of material is required to cover tha
netineya [11]

Answer:

(a)\ Area = 195\pi

(b)\ Volume = 700\pi

Step-by-step explanation:

Given

h = 12

d_1 = 10 --- lower diameter

d_2 = 20 --- upper diameter

Solving (a): The curved surface area

This is calculated as:

Area = \pi l(r_1 + r_2)

Where

r_1 = 0.5 * d_1 = 0.5 * 10 = 5 --- lower radius

r_2 = 0.5 * d_2 = 0.5 * 20 = 10 --- upper radius

And

l = \sqrt{h^2 + (r_1 - r_2)^2 ---- l represents the slant height of the frustrum

l = \sqrt{12^2 + (5 - 10)^2

l = \sqrt{12^2 + (-5)^2

l = \sqrt{144 + 25

l = \sqrt{169

l = 13

So, we have:

Area = \pi l(r_1 + r_2)

Area = \pi * 13(5 + 10)

Area = \pi * 13(15)

Area = 195\pi

Solving (b): The volume

This is calculated as:

Volume = \frac{1}{3}\pi * h * (r_1^2 + r_2^2 + (r_1 * r_2))

This gives:

Volume = \frac{1}{3}\pi * 12 * (5^2 + 10^2 + (5 * 10))

Volume = \frac{1}{3}\pi * 12 * (25 + 100 + (50))

Volume = \frac{1}{3}\pi * 12 * (175)

Volume = \pi *4 * 175

Volume = 700\pi

6 0
3 years ago
Find the product.<br><br> (r + s)2
mario62 [17]
When you've got a squares bracket, this simply becomes the bracket twice, therefore, (r+s)2 becomes (r+s)(r+s)
You've then go to use FOIL, and this gives you r^2+rs+sr+s^2, and this cannot be simplified any further.
Therefore, the product of this is r^2 + s^2 + rs + sr
Hope this is what you're looking for :)
3 0
3 years ago
Did I do my math homework right?
anastassius [24]
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7 0
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Minchanka [31]

\tt \dfrac{-5u^2}{10u^{-7}}=-0.5u^9

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