A.359.5
B.2,178
C.18.0

Answer:

D

Step-by-step explanation:

i took the test

The equivalent expressions of [tex](x^{6} )^{-3}[/tex] will be [tex](x )^{-18}[/tex].

Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.

To derive the equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.

The given expression is;

[tex](x^{6} )^{-3}[/tex]

Required to Determine the equivalent expression.

First, we need to evaluate the expression in the bracket:

Apply the following law of indices:

[tex](x^a)^b = x ^{ab}[/tex]

So:

[tex](x^{6} )^{-3}[/tex]

becomes

[tex](x )^{6 \times -3}\\\\[/tex]

[tex](x )^{-18}[/tex]

Hence: the equivalent expressions of [tex](x^{6} )^{-3}[/tex] will be [tex](x )^{-18}[/tex].

Learn more about expression here;

https://brainly.com/question/14083225

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Answer: 72

Step-by-step explanation:

Ok, in her legs the options are:

2 jeans + 3 black pants + 1 skirt = 6 options.

on her torso the options are:

2 pinks shirts + 4 striped shirts = 6 options.

And on top of that she has:

2 hooded sweatshirts = 2 options.

The total number of combinations is equal to the product of options for each type of garmet; this is:

C = 6*6*2 =36*2 = 72

So she has 72 different outfits.

Answer:

It is 70 becouse of how many clothing ther is and u just mulytly

it tell me if im right or wrong

thanks stay safe

byebye

Step-by-step explanation:

Answer:

See below in bold.

Step-by-step explanation:

1.  21 + 2x + 29 = 180         (as supplementary angles sum to 180 degrees).

2x + 50 = 180

2x = 130

x = 65 degrees.

2. x - 36 + 73 = 180

x = 180 + 36 - 73

x = 143 degrees.

Complete Question

Casey buys a bracelet. She pays for the bracelet and pays $0.72 in sales tax. The sales tax rate is 6%. What is the original price of the bracelet, before tax?

Answer:

$12

Step-by-step explanation:

Let the original price of the bracelet before tax =x

Tax rate =6%

That means:

6% of x =$0.72

0.06x=0.72

Divide both sides by 0.06

x=$12

The original price of the bracelet, before tax is $12.

Answer:

The slope of the graph is equal to 4

Step-by-step explanation:

When you do y2-y1 divided by x2-x1 you get the fraction 8/2 however when simplified you get 4, 8/2=4

Answer:

The slope is 4

Step-by-step explanation:

Why? Because the point (3,9) is labeled as x1 and y1 and the point (1,1) is labeled as x2 and y2, which means that the equation is set up as 1-9 / 1-3, which equals -8 / -2 , which turns out to be 4 when it is simplified. :)

Answer:

0° and 90°

Step-by-step explanation:

Bearing is simply the angle, clockwise, between the north direction and any other direction;

In the first image (on the left) B is exactly in the north direction as compared to A so the bearing is 0°;

In the other image, B is to the right of A, which is a clockwise rotation of 90° from the north direction.

Answer: 0.03

Step-by-step explanation:

3% in decimal form is 0.03

Answer:

The decimal form, which would be 0.03

People would say the decimal will be 0.3, but that is 30%, so the decimal would be 0.03.

Answer:

The last image (The one going through points (4,1) and (8,2))

Step-by-step explanation:

If the side length is y, and the perimeter is x, x is equal to that value times 4. This means the table of points would look like this:

x     y

4     1

8     2

12    3

And so on. The only graph that is going through these points is the last one. The third graph is wrong because it's the opposite, (1,4) instead of (4,1), and the perimeter will be greater than the side length.

Answer:

D) The coefficient

Explanation:

The coefficient is the number placed before the variable in the expression.

In 3x x is the variable and 3 is the number placed before it making it the coefficient.

Answer:

5 minutes

Step-by-step explanation:

Do a proportion

440/75= 1760/x

cross multiply

440x=1760(75)

simplify

132000/440

Answer:

28cm^2

Step-by-step explanation:

The area of a trapezoid is the bases added divided by two times the height.

(9+5)/2*4=7*4=28

28cm^2

Answer:

16 miles

Step-by-step explanation:

In order to find one gallon of gas, you multiply the 64 by 1/64 which will get you to 1 whole. Now you multiply the 64 by the 1/4 miles which will give you 16 miles.

Answer:

Step-by-step explanation:

Squaring both sides of an equation is irreversible, because the square power of negative number gives a positive result, but you can't have a negative base with a positive number, given that the square root of a negative number doesn't exist for real numbers.

In case of cubic powers, this action is reversible, because the cubic root of a negative number is also a negative number. For example

[tex]\sqrt[3]{x} =-1[/tex]

We cube both sides

[tex](\sqrt[3]{x} )^{3} =(-1)^{3} \\x=-1[/tex]

If we want to reverse the equation to the beginning, we can do it, using a cubic root on each side

[tex]\sqrt[3]{x}=\sqrt[3]{-1} \\\sqrt[3]{x}=-1[/tex]

There you have it, cubing both sides of an equation is reversible.

Answer:

[tex]D)4log_{12}x+\frac{1}{2} log_{12}(x^3-2)-5log_{12}(x+1)[/tex]

(4 log Subscript 12 Baseline x + one-half log Subscript 12 Baseline (x cubed minus 2) minus 5 log Subscript 12 Baseline (x + 1)

Step-by-step explanation:

Given the expression:

[tex]log_{12}\dfrac{x^4\sqrt{x^3-2} }{(x+1)^5}[/tex]

first apply the division law of logarithm:

[tex]log_{a}x/y=log_{a}x-log_{a}y[/tex]

[tex]log_{12}\dfrac{x^4\sqrt{x^3-2} }{(x+1)^5}=log_{12}x^4\sqrt{x^3-2}-log_{12}(x+1)^5[/tex]

Next, by addition law:[tex]log_{a}xy=log_{a}x+log_{a}y[/tex]

[tex]=log_{12}x^4+log_{12}\sqrt{x^3-2}-log_{12}(x+1)^5\\\\Log a^m=mLog a, Log \sqrt{x}=log x^{1/2}\\\\ =4log_{12}x+log_{12}(x^3-2)^{1/2}-5log_{12}(x+1)\\\\=4log_{12}x+\frac{1}{2} log_{12}(x^3-2)-5log_{12}(x+1)[/tex]

Answer:

Its D on edge

Step-by-step explanation:

Answer:

800 + 150 = 950

Step-by-step explanation:

The answer is 950 because if you have $800 and your mom gives you $150 more. You will have a total of $950.

Answer:

800+150=950

Step-by-step explanation:

Answer:

What do you mean DUO?

Step-by-step explanation:

Answer:

7 hours

y = 0.002 (3500)

y = 7

Step-by-step explanation:

Answer: 7 hours.

Step-by-step explanation:

To solve this, substitute the miles flied (3500) for x in the equation given, and solve for y:

[tex]y = 0.002 *(3500)\\y = 7[/tex]

It will take the airplane 7 hours to fly 3500 miles.

It is 3.15 x 10^-7. You find what 1.05 x 10^-10 is in scientific notation (0.00000000105), times that by 3000, and you end up with 0.000000315 (3.15 x 10^-7 is the answer)  :)

Answer:

The Martin family pays $5.33 more per hour

The Sanchez family pays $60 more in total

Step-by-step explanation:

The Sanchez family want her to babysit for 15.5 hours for a total of $150.

To find out the hourly rate you do $150/15.5 which is $9.67 per hour.

The Martin family wants her to babysit for a total of 6 hours for $15 an hour.

To find out the total you do $15 x 6 which is $90.

Answer:

6x -2y = 8

-6x+5y = 7

3y = 15

y = 5

6x - 2(5) = 8

6x - 10 = 8

6x = 18

x = 3

(3, 5)

Step-by-step explanation:

Answer:

The answer is 16.8 cm^ 2.

Answer:.03x=6

Step-by-step explanation x=200 minutes

Answer:

200 minutes

Step-by-step explanation:

To find this, you should first set up an equation. Since you are trying to find the point where both plans cost the same, set them equal to each other. Let x be the cost for both. Write the equation:

[tex]16.95+0.05x=22.95+0.02x[/tex]

We place the x with the cost per minute because this is what you are trying to find. We add the cost per month.

Solve for x. Subtract 16.95 from both sides and simplify:

[tex]16.95-16.95+0.05x=22.95-16.95+0.02x\\0.05x=6+0.02x[/tex]

Subtract 0.02x from both sides:

[tex]0.05x-0.02x=6+0.02x-0.02x\\0.03x=6[/tex]

Divide both sides by 0.03:

[tex]\frac{0.03x}{0.03}=\frac{6}{0.03}\\ x=200[/tex]

At 200 minutes, the cost for both plans would be the same.

Answer:

63x-8<23

63x<23+8

63x < 31

63. 63

x < 0.492

Answer:

x = 12 or x = -3

Step-by-step explanation:

Solve for x over the real numbers:

x^2 - 9 x = 36

Subtract 36 from both sides:

x^2 - 9 x - 36 = 0

x = (9 ± sqrt((-9)^2 - 4 (-36)))/2 = (9 ± sqrt(81 + 144))/2 = (9 ± sqrt(225))/2:

x = (9 + sqrt(225))/2 or x = (9 - sqrt(225))/2

sqrt(225) = sqrt(9×25) = sqrt(3^2×5^2) = 3×5 = 15:

x = (9 + 15)/2 or x = (9 - 15)/2

(9 + 15)/2 = 24/2 = 12:

x = 12 or x = (9 - 15)/2

(9 - 15)/2 = -6/2 = -3:

Answer:  x = 12 or x = -3

Awnser

8 gallons of cans