Choose the expression equivalent to 2^ -2 x
2^5.

Answers

Answer 1

Answer:

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , thus

[tex]2^{-2}[/tex]  × [tex]2^{5}[/tex] = [tex]2^{(-2+5)}[/tex] = 2³ [ = 8 ]


Related Questions

A $ 4.00 sales tax is charged for a $ 50.00 purchase . At this rate, what is the sales tax for a 1200.00 purchase

Answers

Sales tax for the purchase of $50 is $4

Therefore, x% of 50 = 4

(x%) 50 = 4

x/100 x 50 = 4

x/2 = 4

x = 4 x 2

x = 8

Therfore, there is a 8% sales tax on the purchase.

Sales tax on the purchase of $1200 = 8% of 1200

= 8/100 x 1200

= 8 x 12

= 96

A $96.00 sales tax is charged on a purchase of $1200.00

What would be the second step in solving the equation y−16=3y?
Divide both sides by 4
Divide both sides by 2
Divide both steps by -2
Divide both steps by -4

Answers

Answer:

Divide both sides by 4

Step-by-step explanation:

Please give brainliest

Answer:

divide both sides by 2

Step-by-step explanation:

becoz first step is move the numbers

pliz give a brainliest

Find the equation of the line shown.

Answers

Answer:

I think that it is y= -2x +9

Step-by-step explanation:

I am sure about the slope but the y-intercept (9) might be wrong.

A store sells 3 cans of beans for $9. What is the price of 7 cans of beans?

Answers

Answer:

21

Step-by-step explanation:

because you  divide 9 byy 3 and you get 3 so then you do 7 x 3 7x3 is 21


1.) Select the correct equation for the following situation. Mariana had 134
crystals in her collection. This was 38 less than Rajesh's collection. How
many crystals are in Rajesh's collection?

38r = 134
r+ 38 = 134
r - 38 = 134
38 - r = 134

Answers

Answer:

r minus 38 equals to 134 this might be m not certain

The correct equation is, [tex]r-38=134[/tex] and Rajesh have 172 crystals .

Let us consider that, Rajesh had r  crystals.

Mariana had 134  crystals in her collection.

Since, Rajesh has 38 more crystal than Marina . So , if we subtract 38 from crystals Rajesh have then both have equal number of crystals.

So,     [tex]r-38=134[/tex]

Now, find crystals present in Rajesh collection.

                   [tex]r-38=134\\\\r=134+38=172[/tex]

Thus, Rajesh have 172 crystals .

Learn more about linear equation:

https://brainly.com/question/11733569

I need help with this equation

Answers

Answer:

Here:)

Step-by-step explanation:

x= -8

Answer: x = -8

Step-by-step explanation:

8x = 4x - 32

subtract 4x from both sides

4x = -32

divide by 4 on both sides

x = -8

:)

Which set of number is only made up of integers?
Negative 2 and StartFraction 4 Over 7 EndFraction, 0, Two-thirds, 4.6, 24
–7.6, 0, 4.ModifyingAbove 2 with bar, 16, 56
–33.3, –24, 1, 2 , 3
–23, –7, 5, 9, 190

Answers

Answer:

It is D (-23, -7, 5, 9, 190)

Step-by-step explanation:

:)

Help I need an answer as soon as possible

Answers

Answer:

charlie is the one,im pretty sure

ivan scores 56 out of 80 marks in a maths test
what is his score as a percentage

Answers

Answer:

70%

Step-by-step explanation:

(56/80) * 100

0.7 * 100

70%

Will mark brainliest

Answers

2.21 is the answer :-/

Michael and Imani go out to eat for lunch. Part A If their food and beverages cost $25.30 and there is an 8% meals tax, how much is the bill? Enter your answer in the box.

Answers

Answer:

Step-by-step explanation:

25.30*8% tax = 2.02 tax

total 25.30+2.02= $27.32

Answer:

$27.32

Step-by-step explanation:

Multiply $25.30 by 0.08 (8% is equal to 0.08)

2.024

Add 2.024 to $25.30

That would be 27.324

Round to the nearest hundredth

$27.32

Hope this helps :)

Please consider Brainliest :)

Sonji paid $25 for two scarves, which were different prices. When she got home she could not find the receipt. She remembered that one scarf cost $3 more than the other. What was the price of the more expensive scarf?

plzz help!!!!!!!!!!

Answers

the answer is 53

Step-by-step explanation:

25 plus 25 is 50 plus 3

Bill has a large collection of paperback books. He decided to donate 1/3 of them to his local library. If he had 126 to start with, how many does he have left?

Answers

Answer:

42

Step-by-step explanation:

Can someone help me out with this please!
What is the domain and range of the function: y= 10(4) + 100

Domain: ____
Range: ____

Answers

Domain is negative infinity to positive infinity or all real numbers

Range is 140 because it would be a straight line

A number x is greater than 3.

Answers

Answer:

4,5,6,7,8,9..........................

There are 11 books on a shelf , 7 of these books are new . The rest of them are used .
What is the ratio of new books to used book ?

Answers

Answer:

7:4

Step-by-step explanation:

11-7=4

7:4

The ratio of old books to the new books is new : old = 7 : 4.

What are ratio and proportion?

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, There are 11 books on a shelf, and 7 of these books are new.

So, The number of old books are (11 - 7) = 4.

So, In the self there is 7 new books and 4 old books.

Therefore the ratio of new books to old books,

new books : old books = 7 : 4.

learn more about proportion here :

https://brainly.com/question/7096655'

#SPJ2

y = (x + 6)(x – 7)
Distribution

Answers

Answer:

Y = [tex]x^{2}[/tex] - x - 42

Step-by-step explanation:

You can use the foil method

first, outside, inside, last

multiply the x’s together, the x times -7, the 6 times x, and then 6 times -7

Y = [tex]x^{2}[/tex] - x - 42

At a high school football game, admission is $5 for students and $10 for non-students. There were 500 people at the first game, and the school made $4,000 from admissions. In this activity, you will find the number of students and non-students at the game.

Please write the two equations algebraically and then solve :)

Answers

Answer:x = 200 students

y = 300 non-students

Step-by-step explanation:

5x + 10y = 4000

x + y = 500

Set y = 500-x

5x + 10(500-x) = 4000

5x + 5000-10x

-5x + 5000 = 4000

-5x = -1000

x = 200 students

y = 300 non-students

Let's double checks

5(200) + 10(300)

1000 + 3000 = 4000

-3\10d= -4\5 this is just so i can get answer ggggggggggggggggggg

Answers

Answer:

d = 8/3

Step-by-step explanation:

Which can be used to expand the expression below?
5 3x
associative property
O commutative property
O distributive property
O subtracting

Answers

i think commutative i might be wrong

Answer:

the answer is disributive!

Step-by-step explanation:

Name the coefficients in a +2a+3a-4a

Answers

Answer:

2,3,4

Step-by-step explanation: there next to veribuls

The sum of two numbers is 37. Their difference is 7. What are the numbers?

Answers

Answer:

22 and 15

Step-by-step explanation:

22+15=37

22-15=7

What is the slope of a line with the equation y = 5x + ⅖ ?

Answers

Answer:

The slope would be 5

Step-by-step explanation:

The reason why it would be five is because the slope formula is y=mx+b with m being your slope and b being your y-intercept.

Answer:

slope: 5

Step-by-step explanation:

[tex]y=mx+b[/tex] is the equation used to find the slope of an equation. The slope is ALWAYS the "m" value. So.... in this equation y=5+2/5... the "m" value is 5.... making the slope of the equation 5.

2. Count by 5¢ to complete the
pattern.
1
30¢, 35¢, 404,
Pls helpppp

Answers

10,15,20,25
45,50,55 there

A litter of puppies had 2 white puppies and 5 brown puppies. What percent of white puppies are in the litter? Round to the nearest whole number

Answers

Answer:

29%

Step-by-step explanation:

0.28571428571 as an approximate percent is 29%. There are 2 white puppies and 7 total puppies(2 white + 5 brown)

Hope this helps!

Answer:

29%

Step-by-step explanation:

0.28571428571 is the original number which makes 29%

Hope this helps! Have a great day :)

Every week, Hector’s 20 hours earns $210.00. He earns a constant amount of money per hour.

Part B
Write an equation that can be used to determine Hector's earnings, in dollars, m, for h hours of work.

Answers

Answer: 20 weeks in 1 week

in 2 weeks 40

Step-by-step explanation:

This proves that the equation is true

4 A baby's t-shirt requires 5 yards of fabric. How many t-shirts can be made from 48 yards?​

Answers

Answer:

9 t-shirts

Step-by-step explanation:

divide 5 by 48 you will get 9.3 but that is not what it is asking it how many t-shirts can they total

Can someone help me solve this equation? x2 + x - 30 = 0

Answers

X=28 this is the answer, it should be correct

Answer:

x = 10

Step-by-step explanation:

x x 2 + x - 30 = 0          use the commutative property to reorder the terms

2x + x - 30 = 0             collect like terms

3x - 30 = 0                move constant to the right hand side and change its sign

3x = 30                      divide both sides of the equation by 3

x = 10

How do I solve this problem and check all the solutions?

Answers

Answer:

x-5=sqrt(2x+5)

then square both sides

x2-10x+25=2x+5

x2-8x+20=0

rest is trivial

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

Given

x - [tex]\sqrt{2x+5}[/tex] = 5 ( subtract x from both sides )

- [tex]\sqrt{2x+5}[/tex] = 5 - x ( divide all terms by - 1 )

[tex]\sqrt{2x+5}[/tex] = x - 5 ( square both sides )

2x + 5 = (x - 5)²

2x + 5 = x² - 10x + 25 ( subtract 2x + 5 from both sides )

0 = x² - 12x + 20 ← in standard form

0 = (x - 2)(x - 10) ← in factored form

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x - 10 = 0 ⇒ x = 10

As a check

Substitute these values into the left side of the equation and if equal to the right side then they are the solutions

x = 2

2 - [tex]\sqrt{4+5}[/tex] = 2 - [tex]\sqrt{9}[/tex] = 2 - 3 = - 1 ≠ 5

Thus x = 2 is an extraneous solution

x = 10

10 - [tex]\sqrt{20+5}[/tex] = 10 - [tex]\sqrt{25}[/tex] = 10 - 5 = 5 = right side

Thus x = 10 is the solution

Find the slope of the line passing though points (-7, 8) and (5, -7).​

Answers

Answer:

13/13= Slope = 1

Step-by-step explanation:

M=rise/run, So that means 13 down then 13 to the left.

So 13/13 is the slope, but if it is simplified it is slope=1

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