Simplify (4/5)^-2 . Show your work!

Answers

Answer 1

Answer:

[tex]\frac{25}{16}[/tex]

Step-by-step explanation:

Apply exponent rule: [tex]x^{-y}=\frac{1}{x^y}[/tex]

[tex](\frac{4}{5}) ^{-2}=\frac{1}{\left(\frac{4}{5}\right)^2}=\frac{1}{\frac{16}{25}}=\frac{25}{16}[/tex]


Related Questions

what is 125.2 X 3 3/4=?

Answers

Answer: 31.3x33

Step-by-step explanation:

Did the test :)


The slope of the line represented by the equation 2(x - 3) - 6y = 10 is
equal to what?

Answers

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

The equation of the line is;

2(x - 3) - 6y = 10

Placing the line in slope intercept form we get;

6y = 2x - 6 - 10

6y = 2x - 16

Dividing throughout by 6 we get;

y = [tex]\frac{2}{6}[/tex]x - [tex]\frac{16}{6}[/tex]

Simplifying gives;

y = [tex]\frac{1}{3} x +2 \frac{2}{3}[/tex]

So the slope of this line = [tex]\frac{1}{3}[/tex]

How do i find the vertex of the equation y=(x+5)(x+4)?

Answers

Answer:

Step-by-step explanation:

y=(x+5)(x+4)=x²+5x+4x+20=x²+9x+20=x²+9x+(9/2)²-(9/2)²+20

[tex]y=(x+\frac{9}{2} )^2-\frac{81}{4} +20\\y=(x+\frac{9}{2})^2-\frac{81}{4}+\frac{80}{4}\\y=(x+\frac{9}{2})^2-\frac{1}{4}[/tex]

vertex is (9/2,-1/4) or(4.5,-0.25)

the cost of a camp is $300 for the first week and $125 for each week beyond the first. the total cost can be modeled by the expression 300+125(x-l). what does (x-l) repreasent​

Answers

Answer: hopefully this helps

D. The number of weeks after the first week

Step-by-step explanation:

What is -8-__=-5
And how do i do it step by step?

Answers

Answer:

-3

Step-by-step explanation:

-5 is greater than -8, so in order for a subtraction problem to give a higher number is if it is negative, because a negative negative is a positive.

-8--3=-5

This is another way of saying

-8+3=-5

ASAP!!!!! A square pyramid and its net are shown below. What is the surface area of the pyramid?

Answers

Answer:

800

Step-by-step explanation:

16x16=256

17x16=272

272/2=136

136x4=544

544+256=800

HELP ME PLEASE WILL OD ANYTHUNIGN

Answers

Answer:

5.4ft²

Step-by-step explanation:

Area of yellow region

= area of square - area of circle

Area of square= side ×side

Area of circle= πr²

5ft is the length of a side of the square, as well as the diameter of the circle.

Diameter= 2 ×radius

Radius or circle, r

= 5 ÷2

= 2.5 ft

Area of yellow region

= (5 ×5) - π(2.5²)

= 25 -6.25π

= 5.4 ft² (to nearest tenth)

Find a rational number and an irrational number that are between 9.5 and 9.7. Include the decimal approximation of the irrational number to the nearest hundredth. plz help

Answers

Answer:

9.6 - rational√91, √92 or √93 - irrational

Step-by-step explanation:

Rational number between 9.5 and 9.7:

An easy one is 9.6

Irrational number between 9.5 and 9.7

Let's find 9.5^2, 9.6^2 and 9.7^2:

9.5^2 = 90.259.6^2= 92.169.7^2= 94.09

One of the numbers could be √91, it is not a perfect square.

Approximate value:

√91 = 9.54

A text font fits 12 characters per inch. Using the same font, how many characters can be expected per yard of text? There are 12 inches in a foot, and 3 feet in a yard. 36 characters 144 characters 360 characters 432 characters

Answers

432 characters can be expected to fit per yard of text. Therefore, option D is the correct answer.

Given that, a text font fits 12 characters per inch.

We need to find how many characters can be expected per yard of text.

How to convert yards to inches?

To convert a yard measurement to an inch measurement, multiply the length by the conversion ratio. The length in inches is equal to the yards multiplied by 36.

Let x be the number of characters to be used in a yard.

12 characters / in = x/ 36 in

(12 characters * 36 in) / in = x

x = 432 characters

Therefore, option D is the correct answer.

To learn more about yards visit:

https://brainly.com/question/14516546.

#SPJ6

the answer is 432 characters

If y is directly proportional to x and y = 6 when x = 2, what is the proportion equation?

Answers

Answer:

y = 3x

Step-by-step explanation:

Direct proportion equation is

y = kx

6 = k*2

Divide each side by 2

6/2 = 2k/2

3 =k

The equation is y = 3x

Formula for direct proportion: y = kx

Solution:

6 = 2k

~Divide 2 to both sides

3 = k

Best of Luck!

will give brainliest and 20 points:
f(x+1) = 8(x+1)^2+3(x+1)-8

Answers

Answer:

Step-by-step explanation:

who can solve these!!!​

Answers

Answer:

1. 5 months2. 147 pages

Step-by-step explanation:

1....................................

Company A

75 + 20x

Company B

35x

Time required:

75 + 20x = 35x15x = 75x = 5 months

2....................................

Set up fee = $15

Additional fee= $0.17 per page

Max amount= $40

0.17x + 15 < 400.17x < 25x < 25/0.17x < 147

Max number of pages is 147

Step-by-step explanation:

the solution is attached

have a good day

HELPP!!! Which of the following is a negative externality of a parent taking afternoon and
evening classes at a local college?

A potential career change and income decrease
A tighter schedule limiting time with children
The list of assignments due for each semester
The number of future job postings

Answers

B.) A tighter schedule limiting time with children

Euclid relied on five basic axioms to build the propositions in his book Elements. The first axiom states, “Things that are equal to the same thing are also equal to one another.” Which modern mathematical statement is equivalent to this axiom? Will give brainiest Asap If a = b, then b = a. If a = b and b = c, then a = c. If a ≠ b, then b ≠ a. If a = b, then a + c = b + c.

Answers

Answer: B

Step-by-step explanation:

Answer:

B. If a = b and b = c, then a = c.

Step-by-step explanation:

I just did it.

Are the equations – 2x = 10 and -5x = 25 equivalent? ​

Answers

Answer: [tex]Yes[/tex]

Q: How are they the same answer?

A: You divide both of them by the number with x.

Divide both sides by -2

[tex]-2x/-2=10/-2\\x=-5[/tex]

Divide both sides by -5

[tex]-5x/-5=25/-5\\x=-5[/tex]

That's how both of them are equivalent to each other.

[tex]\text{Hey there!}[/tex]

[tex]\text{Are the equations -2x = 10 \& -5x = 25 equivalent?}[/tex]

[tex]\text{-2x = 10}[/tex]

[tex]\text{DIVIDE both sides by -2}[/tex]

[tex]\bf{\dfrac{-2x}{-2} = \dfrac{10}{-2}}[/tex]

[tex]\text{Cancel out \dfrac[-2x}{-2} because it gives 1}[/tex][tex]\text{Cancel out:}\ \bf\dfrac{-2x}{-2} \text{ because it gives you 1}[/tex]

[tex]\text{Keep:} \bf{\dfrac{10}{-2}}\text{ because it gives you the result of x}[/tex]

[tex]\bf{\dfrac{10}{-2} = -10\div2 \rightarrow -5}[/tex]

[tex]\boxed{\underline{\text{\bf{x = -5}}}}\checkmark[/tex]

[tex]\text{-5x = 25}[/tex]

[tex]\text{DIVIDE both sides by -5}[/tex]

[tex]\bf{\dfrac{-5x}{-5}= \dfrac{25}{-5}}[/tex]

[tex]\text{Cancel out:}\ \bf{\dfrac{-5x}{-5}}\text{ because it gives you 1}[/tex]

[tex]\text{Keep:}\ \bf{\dfrac{25}{-5}}\ \text{ because it gives you the result of x }[/tex]

[tex]\bf{\dfrac{-25}{5} = -25 \div 5 \rightarrow -5 }[/tex]

[tex]\boxed{\underline{\bf{x = -5}}}\checkmark[/tex]

[tex]\boxed{\text{To answer your question: \boxed{\bf{YES}} because both x's equal to -5}}[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

4a−2(3a+8)=6 what is the answer

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{a = - 11}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{4a - 2(3a + 8) = 6}[/tex]

Distribute 2 through the parentheses

[tex] \longrightarrow{ \sf{4a - 6a - 16 = 6}}[/tex]

Collect like terms

[tex] \longrightarrow{ \sf{ - 2a - 16 = 6}}[/tex]

Move 16 to right hand side and change it's sign

[tex] \longrightarrow{ \sf{ - 2a = 6 + 16}}[/tex]

Add the numbers: 6 and 16

[tex] \longrightarrow{ \sf{ - 2a = 22}}[/tex]

Divide both sides by 2

[tex] \longrightarrow{ \sf{ \frac{ - 2a}{ - 2} = \frac{22}{ - 2}}} [/tex]

Calculate

[tex] \longrightarrow{ \sf{a = - 11}}[/tex]

Hope I helped !

Best regards! :D

Amy buy 5 pounds potatoes for $2.50. How much does 1 pound of potatoes weight? (What is the unit rate?)

Answers

Answer:

$0.50

Step-by-step explanation:

If there are 5 pounds of potatoes for $2.50, you must divide to find the unit rate.

$2.50 / 5 = $0.50

1 pound of potatoes costs $0.50

Answer:

0.5 $/pound

Step-by-step explanation:

[tex]5[/tex] pounds ⇒ [tex]2.50$[/tex]$

to khow much dollars one 1 pound costs, we must divide the price of 5 pounds by 5

[tex]\frac{2.50}{5} = 0.5[/tex] $/ pound

2.5 is in dollars and 5 is in pounds so the rate unit is $/pound

can someone help me with this geometry question?

Answers

Answer:

(-1,4.5)

Step-by-step explanation:

You would have to use the formula for midpoint. 5+-3/2= -1

3+6/2= 4.5  which would be -1 for x and 4.5 for y.

Parallel lines s and t are cut by a tranversal r. Which angles are alternate interior angles? <3 and <5 <1 and <7 <3 and <7 <4 and <5

Answers

Answer:

it Would be easier to answer with a picture but since these Question are normaly the same picture but it is Angle 3 and 7

Step-by-step explanation:

#NO ADDS

Find the value of the expression -1/3-(-5/12).

Answers

Answer:

1/12

Step-by-step explanation:

What kind of triangle?

Answers

Answer:

I think it's an obtuse scalene.

Step-by-step explanation:

I also think it’s an obtuse scalene

A rectangular prisms base has an area of 40cm2.the prisms height is 5cm .what is the volume of the prism?

Answers

Answer:

5

Step-by-step explanation:

5679

25
Highest Temp(°F)
What is the
difference
in the low
and high
temp?
0
Lowest Temp °F)
-25

Answers

Answer:

there both the same number its just that one is on top and the other is on bottom

Need help please guys

Answers

Answer:

B.

Explanation:

π ≈ 3.142

22/7 ≈ 3.143

square root of ten ≈ 3.162

The answer is B) no problem

Use the Distributive Property to simplify. s 5 a solution to 2t - 1 = 11?

Answers

Answer:

5 is NOT a solution to the equation.

t = 6

Step-by-step explanation:

Step 1: Write out equation

2t - 1 = 11

Step 2: Add 1 to both sides

2t = 12

Step 3: Divide both sides by 2

t = 6

Find the reciprocal of 5.

Answers

Answer:

0.2 is the answer

Step-by-step explanation:

Answer:

0.2

Step-by-step explanation:

5^-1=0.2

The measure of two vertical angles are given by the expressions (x+3) and (2x-7). Find the value of x. ​

Answers

Answer:

61.3

Step-by-step explanation:

two vertical angles add up to 180°

so (x+3)+(2x+7)=180°

open brackets & collect like terms

x+3+2x-7=180°

3x+-4=180°

3x=184°

x=61.3 after dividing by 3 on both sides

A movie club charges a one-time fee membership fee of $25. This allows members to purchase movies for $7 each. Lincoln is a member of the movie club and has spent a total of $60. How many movies has Lincoln purchased

Answers

Answer:

he purchased 5 movies bro

Step-by-step explanation:

Can v11 be classified as a rational

Answers

Answer:

yes it should

Step-by-step explanation:

Yes it should be classified as a rational

For a given recipe, 10 cups of flour are mixed with 20 cups of sugar. How many cups of flour should be used if 4 cups of sugar are used? Assuming a constant ratio, fill out the table of equivalent ratios until you have found the value of x.

Answers

Answer:

2

Step-by-step explanation:

If 20 cups are used on the first recipe then 4 are used on the second, the way to find the answer is to divide 20 by 4. 20 divided by 4 will get 5. Now we have to divide the 10 cups of flour by 5 which in the end will get 2.

The answer should be 2
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