All categories

4 years ago

Rules for exponents help?

Mathematics

1 answer:

JulijaS [17]4 years ago

5 0

Your given expression has no "b", so you can rule out selections b, c, e.

The expression is not equal to 1, so you can rule out selection a.

That leaves selection d, which is the correct choice:

... d. 1/x^a

_____

The rule for exponents is that an exponent in the numerator is the same as its opposite in the denominator, and vice versa.

The exponent of <em>-a</em> in the numerator is the same as an exponent of <em>a</em> in the denominator.

You might be interested in

At the farmer's market, there is a scale that measures the weight of fruit and vegetables. The needle is 16 cm long, and it rota

Eddi Din [679]

It may help to draw a picture as you start planning this problem and draw a circle, showing a circle which represents the scale needle's range of motion 360 degrees around. The needle length will then be the radius of that circle.

We know that the needle rotated 68 degrees and are trying to find the distance it traveled in cm. To find out how far the needle traveled, we need to find the arc length - in this case, the distance between the needle's starting point and where it ended up after the oranges were placed on the scale on the circle.

There is a formula you can easily use to find the arc length
arc length = 2* $\pi$ *r ( $\frac{c}{360}$ )

We need to input the radius, r into this formula, as well as the central angle measure c, which in this case is 68 degrees.

2 $\pi$ (16) ( $\frac{68}{360}$ )

If you multiply the above formula components all together using a calculator, you will get ~18.99. (When rounded to the second decimal place.)

So, the answer is around 19 cm. (Your answer may vary depending on how your teacher usually wants you to round answers.)

5 0

3 years ago

Read 2 more answers

Whats the answer for 16 - 2n = -8 + 4(n - 3) pls

KiRa [710]

Answer:

16-2n=-8+4n-12

16+8+12=4n

36/4=n

9=n

Step-by-step explanation:

3 0

3 years ago

The postage required to mail a box depends on its weight

Klio2033 [76]

Answer:

is this a question?

Step-by-step explanation:

5 0

3 years ago

1. Which are true of x = log10 31,500? Select all that apply.

ziro4ka [17]

Given:

$x=\log_{10}31,500$

To find:

Select the true statements from the given options about the given value.

Solution:

We have,

$x=\log_{10}31,500$

It can be written as

$x=\log_{10}(2^23^25^37)$

$x=\log_{10}(2^2)+\log_{10}(3^2)+\log_{10}(5^3)+\log_{10}(7)$ $[\because \log(ab)=\log a+\log b]$

$x=2\log_{10}2+2\log_{10}3+3\log_{10}5+\log_{10}(7)$

$x=2\left(0.30105\right)+2\left(0.47712\right)+3\left(0.69897\right)+0.8451$

$x=4.49835$

Clearly, the value of x lies between 4 and 5. So, $x>4$ and $x$ .

Therefore, the correct options are C and D.

4 0

3 years ago

For ΔABC, ∠A = 8x - 10, ∠B = 10x - 40, and ∠C = 3x + 20. If ΔABC undergoes a dilation by a scale factor of 1 2 to create ΔA'B'C'

Sholpan [36]

Answer: It does not confirm that ΔABC∼ΔA'B'C by the AA criterion as the measure of angle B is negative which is not possible.

Step-by-step explanation:

Since we have given that

In ΔABC,

∠A = 8x - 10, ∠B = 10x - 40, and ∠C = 3x + 20

In ΔA'B'C',

∠A' = 6x + 10, ∠B' = 70 - x, and ∠C' = 10x 2

Since ΔABC gets a dilation by a scale factor of $\dfrac{1}{2}$

So, it becomes,

$\dfrac{\angle A}{\angle A'}=\dfrac{1}{2}\\\\\dfrac{8x-10}{6x+10}=\dfrac{1}{2}\\\\2(8x-10)=6x+10\\\\16x-20=6x+10\\\\16x-6x=10+20\\\\10x=30\\\\x=\dfrac{30}{10}=3$

Now, put the value of

$\angle B=10(3)-40=30-40=-10\\\\and \angle B'=70-30=40$

It does not confirm that ΔABC∼ΔA'B'C by the AA criterion as the measure of angle B is negative which is not possible.

8 0

3 years ago