If the base is 4, what is the value if the exponent is 2? What if the exponent is -2?
A) 16, 1/16
B)16, -16
C)8, -8
D)8, 1/8

Answer:

I believe the answer is multiplication property of equality.

I hope I helped, please correct me if I'm wrong!

Answer:

Step-by-step explanation:

3x + 18 = 30

3x + 18 -18 = 30 - 18

3x = 12

x = 4

Answer:

18

Step-by-step explanation:

Find the factors of each denominator

2 = 1*2

6 = 2*3

9 = 3*3

The least common multiple is

2*3*3 = 18

The least common denominator is 18

Answer:

The LCD is 18.

Step-by-step explanation:

2 = 2

6 = 2*3

9 = 3 * 3

The Least Common  Multiple =    2 * 3* 3 = 18  (because there is 1 pairs of 2's and 1 pair of 3's in the factors, so only 1 of each appear in the calculation).

Answer:

I think 10,500.

Step-by-step explanation:

700 multiplied by 2.5=1750

                                   x      6

                                  10,500

Answer:

-9, 3.6, -2.25, and -9 1 2

Step-by-step explanation:

Answer:

114.89 V

Step-by-step explanation:

Watts are a measure of power, and there is an equation that relates power, voltage, and resistance. It goes like this:

P=(V^2)/R

Now to find the voltage you want to solve for V

PR = V^2

V = [tex]\sqrt{PR}[/tex]

Now substitute your numbers into the equation and you get your answer

V = [tex]\sqrt{(60)(220)}[/tex]

V = [tex]\sqrt{13200}[/tex]

V = 114.89 V

Answer: The account has been open for 3 years.

Step-by-step explanation:

yes

Answer:

A

Step-by-step explanation:

take out the 'y' and the equation is left to 2x=10 and you divide 2x and 10 by 2

Answer:

2107

Step-by-step explanation:

Answer:

2107

Step-by-step explanation:

x(x-6)

49(49-6)

49(43)

49×43 = 2107

Answer: Add 2. Step-by-step explanation:If you look closely, you can see that the numbers are increasing by 2 each time.

Answer:

what do u mean

do u mean does Venn diagram cover another diagrqm

Answer:

1)The markup/percent Increase for the shoe is 136.709%

2)Amount of tax on the Kyrie 5 is $4.4

3)The new price of the shoe before taxes is $35.75

Step-by-step explanation:

1) Cost price of Kyrie 5 = $55

Selling price =  $130.19.

Difference = 130.19-55=75.19

So, Percentage increase =[tex]\frac{Change}{CP} \times 100[/tex]

Percentage increase =[tex]\frac{75.19}{55} \times 100 =136.709\%[/tex]

2)The state tax is 8%

So, Amount of tax on the Kyrie 5. = [tex]8\% \times 55[/tex]

                                                        =[tex]\frac{8}{100} \times 55[/tex]

                                                        = 4.4

So, You will pay $4.4 in taxes on the Kyrie 5.

3)You just found a coupon for 35% off!

New price of the shoe before taxes =[tex]55-35\%(55)[/tex]

                                                            =35.75

So,the new price of the shoe before taxes is $35.75

Answer:

1 = (sin^2 A + cos^2 A)^2 = sin^4 A + cos^4 A + 2 sin^2 A cos^2 A

so

sin^4 A + cos^4 A

= 1 - 1/2 sin^2 2A

= 1 - 1/4 (1- cos 4A)

= 1/4 (3+cos 4A)

Step-by-step explanation:

hope I helped

Answer:

500030196000

Step-by-step explanation:

Five thousand = 5000

Three hundred one = 301

Ninety-six thousandths = 96000

In numbers:

500030196000

Hope this helps.

Answer:

35

Step-by-step explanation:

7x5= 35

i think pls correct me if im wrong

Answer:

see below

Step-by-step explanation:

We need to find the volume of the cylinder

V = pi r^2 h

V = pi * 7^2 * 5

V = pi (245)

V = 245pi ft^3

Using 3.14 as an approximation for pi

V =769.3 ft^3

If we use the pi button

V = 769.6902001 ft^3

For these given four sets of data, Set: 4 has the largest standard deviation.

"Standard deviation is a measure of the amount of variation or dispersion of a set of values.

A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range."

Set: 1 {10, 19, 38, 50, 513}

Number of terms = 5

Mean = (10 + 19 + 38 + 50 + 513)/5 = 630/5 = 126

Standard deviation

= [√{(10 - 126)² + (19 - 126)² + (38 - 126)² + (50 - 126)² + (513 - 126)²}/5]

=  [√(13456 + 1149 + 7744 + 5776 + 149769)/5]

= 188.62

Set: 2 {5, 21, 26, 39, 51}

Number of terms = 5

Mean = (5 + 21 + 26 + 39 + 513)/5 = 604/5 = 120.8

Standard deviation

= [√{(5 - 120.8)² + (21 - 120.8)² + (26 - 120.8)² + (39- 120.8)² + (513 - 120.8)²}/5]

=  [√(11193.64 + 9960.04 + 8987.04 + 6691.24 + 153820.84)/5]

= 195.27

Set: 3 {9, 38, 50, 50, 513}

Number of terms = 5

Mean = (9 + 38 + 50 + 50 + 513)/5 = 650/5 = 130

Standard deviation

= [√{(9 - 130)² + (38 - 130)² + (50 - 130)² + (50 - 130)² + (513 - 130)²}/5]

=  [√(14641 + 8464 + 6400 + 6400 + 146689)/5]

= 191.1

Set: 4 {5, 28, 28, 28,513}

Number of terms = 5

Mean = (5 + 28 + 28 + 28 + 513)/5 = 602/5 = 120.4

Standard deviation

= [√{(5 - 120.4)² + (28 - 120.4)² + (28 - 120.4)² + (28 - 120.4)² + (513 - 120.4)²}/5]

=  [√(13317.16 + 8537.76 + 8537.76 + 8537.76 + 154134.76)/5]

= 196.5

Therefore, Set: 4 has the largest standard deviation.

Learn more about standard deviation here: https://brainly.com/question/12402189

#SPJ3

Answer:

I think b :)

Step-by-step explanation:

Answer:

a) - Compressing the P(new) function by a scale of 0.5 about the y axis.

- Moving the P(new) function down by 104 units.

b) The two simplified functions for P(original)

-0.08x² + 10.8x – 200.

-0.16x² + 21.6x – 504.

Step-by-step explanation:

Complete Question

An electronics manufacturer recently created a new version of a popular device. It also created this function to represent the profit, P(x), in tens of thousands of dollars, that the company will earn based on manufacturing x thousand devices: P(x) = -0.16x² + 21.6x – 400.

a. The profit function for the first version of the device was very similar to the profit function for the new version. As a matter of fact, the profit function for the first version is a transformation of the profit function for the new version. For the value x = 40, the original profit function is half the size of the new profit function. Write two function transformations in terms of P(x) that could represent the original profit function.

b. Write the two possible functions from part a in simplified form.

Solution

The equation for the new profit function is

P(x) = -0.16x² + 21.6x – 400

At x = 40, the original profit function is half the size of the new profit function

First, we find the value of the new profit function at x = 40

P(x) = -0.16(40)² + 21.6(40) – 400 = 208

Half of 208 = 0.5 × 208 = 104

P(original at x = 40) = P(new at x = 40) ÷ 2

Since we are told that P(original) is a simple transformation of the P(new)

P(original) = P(new)/2 = (-0.16x² + 21.6x – 400)/2 = -0.08x² + 10.8x – 200 ... (eqn 1)

Or, P(original) = 104

-0.16x² + 21.6x – 400 = 104

P(original) = -0.16x² + 21.6x – 400 - 104 = -0.16x² + 21.6x – 504.

So, the two functions that are simple transformations of P(new) to get P(original) are

-0.08x² + 10.8x – 200

Obtained by compressing the P(new) function by a scale of 0.5 about the y axis.

And

-0.16x² + 21.6x – 504.

Obtained by moving the P(new) function down by 104 units.

Hope this Helps!!!

Answer:

(3,3)

Step-by-step explanation:

Using the midpoint formula:

[tex]m=\left( \dfrac{6+0}{2},\dfrac{4+2}{2} \right)=\left( \dfrac{6}{2},\dfrac{6}{2} \right)=(3,3)[/tex]

Hope this helps!

Answer:

About 7.2

Step-by-step explanation:

Answer = [tex]\sqrt{52}[/tex]

look at image attached

Answer:

C 24

Step-by-step explanation:

Answer:

To find the inverse, interchange the variables and solve for  

y .

f ^− 1 ( x )  =  − 9  −  x  −  √ (x ^2  −  18 x  +  201 )) /(12 ) , (− 9  −  x  +  √ (x ^2  −  18 x  +  201))  / (12 )

Answer:

C. 275.88‬ m squared

24.2 * 11.4 = 275.88‬ m squared

Answer:

B) 4-8x

Step-by-step explanation:

[tex]f(x) = 4 - 2x^2 \\ g(x) = 2\sqrt{x} \\ f(g(x)) = ?\\First - find- g(x)\\f(2\sqrt{x} )\\4-2(2\sqrt{x})^{2} \\4-2(4x)\\4-8x\\f(g(x))= 4-8x = B[/tex]

Answer:

$40.95

Step-by-step explanation:

Multiply 45.50 by 0.10 and get 4.55. 4.55 is the discount. Then subtract 4.55 from 45.50 and get 40.95

Answer:

$40.95

Move the decimal over to the left once and you get 10% off the all you do is subtract that from the original cost.

Answer:

A

Step-by-step explanation:

slope= [tex] \frac{y1 - y2}{x1 - x2} [/tex]

Thus, slope of the line

[tex] = \frac{4 - ( - 4)}{2 - ( - 2)} \\ = \frac{4 + 4}{2 + 2} \\ = \frac{8}{4} \\ = 2[/tex]

The right answer is 2.

look at the attached picture

Hope it helps

Good luck on your assignment

Answer:

y=40

Step-by-step explanation:

32 divided by 4 equals 8. And 5 times 8 equals 40.