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

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

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 :)

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

Answers

Answer:

d = 8/3

Step-by-step explanation:

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

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:

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

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

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

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

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

Answers

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

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 :)

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%

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:

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

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

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

Help I need an answer as soon as possible

Answers

Answer:

charlie is the one,im pretty sure

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

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:

:)

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

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

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.

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

Will mark brainliest

Answers

2.21 is the answer :-/


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

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

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.

A number x is greater than 3.

Answers

Answer:

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

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

:)

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

Answers

Answer:

2,3,4

Step-by-step explanation: there next to veribuls

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