Find the value of (4/25)^-1/2

Answers

Answer 1

The value of the given exponent is [tex]\frac{5}{2}[/tex]

Given:

The exponent = [tex](\frac{4}{25})^{\frac{-1}{2}}[/tex]

To find:

The value of a given exponent

Solution:

[tex](\frac{4}{25})^{\frac{-1}{2}} = ?[/tex]

Using the identity of an exponent : [tex](\frac{m}{n})^{x} = \frac{m^{x}}{n^{x}}[/tex]

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

Using the identity of an exponent : [tex]a^{-x} = \frac{1}{a^x}[/tex]

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

Using the identity of an exponent: [tex](a^{n})^m=a^{m\times n}[/tex]

[tex]=\frac{5^{(2\times \frac{1}{2})}}{2^{(2\times \frac{1}{2})}}\\=\frac{5^1}{2^1}\\=\frac{5}{2}[/tex]

The value of the given exponent is [tex]\frac{5}{2}[/tex].

Learn more about exponents here :

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Related Questions

I have a square garden that has an area of 324. What is length of one side?​

Answers

Answer:

81

Step-by-step explanation:

The shape is a square so it has all equal sides.

324/4=81

Help pls I don’t get it

Answers

Me neitherrrrrrrrrrrrrr

Is this a function, Explain.

Answers

No this is not a function

State if each triangle is acute, obtuse, or right.
2)
392 ft
14 ft
197 ft
B) Acute
A) Right
C) Obtuse

Answers

Hi!

Your answers should be : 1. Obtuse | 2. Acute | 3. Obtuse

Here's a little tip for you to remember if you cant get an answer off of brainly: if its 90ft (or degrees or what ever you want to call it) then its right, if its over 90ft its Obtuse, and if its under 90ft its Acute.

Hope this helps!

Let me know if you need anymore help!

Yours truly,

~~~PicklePoppers~~~

Pls explain the how you got the answer for me: On a random Monday in the spring, 95% of students are present at school. If there are 589 students present, then how many total students are enrolled answers: A. 620
B. 589
C. 58909
D. 560​

Answers

The answer should be 620

Answer:

A

Step-by-step explanation:

.95* S = 589 where S is the # of students in the school

S = 589/.95= 620

plzzz answer these i will make you brainliest

Answers

Answer:

6. (x,y) -> (x,y-4)

7. (x,y) -> (-x,y)

Step-by-step explanation:

6. You shift it 4 units down. Y makes things go up and down.

7. Youre flipping it over the Y axis. It doesnt change the Y values, only the X.

15 points :) ill mark BRAINIEST

Answers

Answer:

7 = 7x - 48

Step-by-step explanation:

Use point slope formula: y - y1 = m(x - x1)

Find slope:

(8 -(-6)) / (8 - 6)

14/2

m = 7/1

Subsitute x1 and y1, solve for y.

y - 8 = 7(x - 8)

y - 8 = 7x - 56

y = 7x - 48

What is an equation of the line that passes through the points (-5,1) and (5,5) ? Put your answer in fully reduced form.

Answers

Answer:

y=  (2/5)X +3  

Step-by-step explanation:

when you connect the 2  points the line intercepts  at 3 in the y coordinate

Grab a piece of  graph paper , and plug   the points and connect them

Starting at-5,1  count 2 up 5 right,  2 up 5 right..........

When you  reach y coordinate you are at 3

The slope is 2/5  y-intercept is 3


If fx) = 6x+ 2, which of the following values would complete the table shown?
16 and 64
O O and 1
64 and 70
O 14 and 50

Answers

the last one (14 and 50)

cause 6 times 2 (2 is the x) is 12 plus 2 more is 14
and 6 times 8 (8 is the x) is 48 plus 2 more is 50

Answer:

14 and 50

Step-by-step explanation:

You live 6 miles from school. if you start walking from school at 3:00, and your best friend starts skateboarding from school towards youe home at the same time, what time will you meet and how far from your home? your speed is 3.5 miles/hour, and your friends speed is 6 miles/hour

Answers

Answer: 2 hrs 40 min

Step-by-step explanation:  Ok I might be wrong so try to do other people's answers instead of mine.

So your friend is going 6 miles per hour, so he/she will be there in an hour

But you are going 3.5 miles an hour.

So what I did was divide 3.5 by 5 and 60 by 5 and found out that you are going 0.5 miles every 20 min. Then I added up the distance and time and got 6 miles every 2 hrs and 40 min

REMINDER: I might be wrong because I haven't done this question before, but tell me if I'm right or not! :D

Find the greatest common factor of 20, 70, and 50.

Answers

Answer:

=10

Step-by-step explanation:

because 20÷10=2

70÷10=7

50÷10=5

Point F is on line segment EG. Given FG = 3x – 5, EF = x
, and
EG = 5x – 8, determine the numerical length of FG.

Answers

Answer:

3

Step-by-step explanation:

the whole line equals

5x-8 as well as x+3x-5

since it equals both we know the equation is

5x-8=x+3x-5 simplify to 4x-5

5x-8=4x-5

-5x.    -5x

-8=-1x-5

+5.     +5

-3= -1x

-/.     -/

3=x

we now can double check our work by putting 3 everywhere the x is

EG =7

FG= 4

making EF 3

Arrange 88,667 132,414 23,112 83,001 to smallest to largest

Answers

Answer:

001,23,83,88,112,132,667

Step-by-step explanation:

Are you kidding me that you need help on this?

23,112 83,001 88,667 132,414
Did you even try to answer this question that’s easy

Brainliest to the first person and the steps!

Answers

Answer:

13

Step-by-step explanation:

FC + CB = 1/2 CD + 1/2 AB = 1/4 DE + 1/2 AB

= 1/4 * 12 + 1/2 * 20 = 3 + 10 = 13

Ау
10
ca
6
6
х
-10 -8 -6 -4
2
6-8 110
4
-6
-8
-10-

Answers

the answer is 85z your welcome

How much would you spend if your meal cost $37.24 and you want to leave an 18% tip?

Answers

Answer:

43.94 in total

Step-by-step explanation:

18% of 37.24 is 6.70 which would be the tip and adding those two numbers together would equal 43.94

Hope this helps. Plz give brainliest.

Answer: 37.42

Step-by-step explanation: first you need to add and point to the 18% like this 0.18 and add it to the first number

It took Chris four minutes less than twice the amount of time as Holly to complete her homework. It took Holly thirty minutes to complete her homework. Write a numerical expression to describe the amount of time it took Carrie to complete her homework. Use parentheses for multiplication and do not put any spaces in your expression.

Answers

Answer:

30-4=26/2=13

Step-by-step explanation:

30-4=26

26/2=13

4y-5x=-8
-Step-by-step answer
-Solve for y
-I know the answer I just need the problem solved step-by-step

Answers

Answer:

4y−5x=−8

Step 1: Add -4y to both sides.

−5x+4y+−4y=−8+−4y

−5x=−4y−8

Step 2: Divide both sides by -5.

−5x

−5

=

−4y−8

−5

x=

4

5

y+

8

5

Answer:

x=

4

5

y+

8

5

Step-by-step explanation:

For each menu item at a fast food restaurant, the fat content (in grams) and the

number of calories were recorded. A scatterplot of these data is given:

Sparta

The restaurant decides to add six new high-calorie, low-fat pasta dishes to its menu.

What is a plausible value for the new correlation coefficient describing the

relationship between fat and calories?

Oa) 0.7

Ob) 10.7

C) 0.2

d) 0.2

Answers

Answer:

The answer is "Option a".

Step-by-step explanation:

please find the attached file.

In the given question, the positive correlation shows the scatterplot and, by adding six now higher calories, low-fat pasta, is the positive value for the new correlation of the coefficient will be decreasing.

In this question, the points are more close to the line and increasing from left to right, which can be mostly like, that's why the choice "a" is correct.

WILL GIVE BRAINLIST TO THE PERSON WHO DOES THE BEST EXPLANATION!! I need to TURN IT IN TODAY PLEASE HELP!!

If you DONT KNOW please do NOT ANSWER because you will automatically loose points. From what I mean is the monitor will mark you to the point where you will LOOSE POINTS for the consequences.

Answers

Angle C =50
Geometric relation is alternate interior angle.

Angle G=125
Geometric relation is vertically opposite angle.

Angle K =125
Geometric relation is alternate interior angle.

Answer:

C =50

Geometric relation is alternate interior angle.

G=125

Geometric relation is vertically opposite

K =125

Geometric relation is alternate interior angle.

Step-by-step explanation:

How many quarts, rounded to the nearest tenth, are in 50 liters?

Answers

Answer: 52.9 quarts

Step-by-step explanation:

From the question, we are informed to calculate the number of quarts that are in 50 liters.

1 liter = 1.057 liquid quarts

50 liters will now be:

= 50 × 1.057

= 52.85

= 52.9 quarts

There are 52.8 quarts rounded to the nearest tenth

In order to get the number of quarts in 50 litres, we will use the following conversion:

1 litres = 1.05669 quartz

For 50 litres;

50 litres = x

Divide both expressions

[tex]\frac{1}{50} = \frac{1.05669}{x} \\Cross \ multiply\\x = 50 \times 1.05669\\x = 52.8345[/tex]

This shows that there are 52.8 quarts rounded to the nearest tenth

Learn more here: https://brainly.com/question/17187589

Please help me we can high five or sumn :)

Answers

Answer:

Its either the 1,2,3, or 4

BHAHABSHABIDBSHBDIHVIHA

jk

The answer is -9,-1

Have a good day:)

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

The answer is (-9,-1)

If you graph them you could see that this point isn't in the shaded area.

PLEASE HELP ASAP 20 points possible

Answers

Answer: 123

Step-by-step explanation:

60+63=123

180-123=57

180-57=123

Answer:

123°

Step-by-step explanation:

Subtract the measures of the given interior angles from 180 to find the measure of the missing interior angle

180 - 60 - 63 = 57°

Subtract 57 from 180 to find the measure of the external angle/angle 1.

180 - 57 = 123°

Solve for y
-2x + 5y - 6 = -11


HELP ASAPPP

Answers

Answer:

It would be

y=2x/5 - 1

Answer:

y= 2 /5 x − 1

Step-by-step explanation:

Combine the like terms to create an equivalent expression:
-2x-x+8

Answers

Answer:

-3x+8

Step-by-step explanation:

-2x-x+8=

-3x+8

Which values of x satisfy the inequality 0.5x - 0.75 _> 3.25?
a x_>5
b x_<5
c ×_<8
d ×_>8​

Answers

0.5x - 0.75 _> 3.25

Add 0.75 to both sides:

0.5x _> 4

Divide both sides by 0.5:

x _> 4/0.5

x_> 8

The answer is d.

I think the answer is D :)

What is the missing reason in the proof

Answers

Answer:b

Step-by-step explanation:

If f(x)=2x(With an exponent of 2) -3, find f(-2)

[tex]f\left(x\right)=2x^2-3f ( x ) = 2 x 2 − 3 find f\left(-2\right)f ( − 2 ).[/tex]

Answers

Answer:

  5

Step-by-step explanation:

Put -2 where x is and do the arithmetic.

  f(x) = 2x² -3

  f(-2) = 2(-2)² -3 = 2(-2)(-2) -3 = 8 -3

  f(-2) = 5

Answer:

f(-2) = 5

Step-by-step explanation:

We just need to substitute x with -2 and simplify.

f(x) = 2x² - 3

f(-2) = 2(-2)² - 3

f(-2) = 2(4) - 3

f(-2) = 8 - 3

f(-2) = 5

Best of Luck!

lin's dad bought a tablet. he pays the same amount each month for a subscription to a movie streaming service.the graph represents how much money he spent,y, for the tablet and x months of the service. Which graph corresponds to this situation?​

Answers

Answer: Graph 1

Step-by-step explanation:

At 0 months, Lin's dad had already spent money to buy the tablet so the line should not start at 0. That rules Graphs 4, 5 and 6 out.

He pays the same amount every month so the movement from a point in the x axis to represent a month, should tally with a movement in the y axis that will be equal each time. This rules out Graphs 2 and 3 as the movements on Y are not equal on the line.

This leaves Graph 1 which means that Lin's dad paid $10 for the tablet and then pays $5 every month for a subscription to a movie streaming website.

In this exercise, we have to recognize the best graph that corresponds to what is treated in the text, that is, the graph that best corresponds to a monthly fee, in this way we find that it is:

Graph 1

First, we are dealing with finances in this way, we have that a tablet has already been purchased so our chart will not start at the null point (x=0) but from the value of the purchased item. In this way, we know that graphics 4, 5 and 6 must be excluded.

In addition to the purchased item, we know that the monthly fee is the same amount every month as long as this program exists  so the movement from a point in the x axis to represent a month, should tally with a movement in the y axis that will be equal each time. This rules out graphs 2 and 3 as the movements on Y are not equal on the line.

This leaves graph 1 which means that Lin's dad paid $10 for the tablet and then pays $5 every month for a subscription to a movie streaming website.

See more about finances at brainly.com/question/10024737

A person places $4760 in an investment account earning an annual rate of 1.6%, compounded continuously. Using the formula V=PertV = Pe^{rt}V=Pert, where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 7 years.

Answers

Answer:

$5324.12

Step-by-step explanation:

Given that the principal p= $4760

rate r= 1.6%  1.6/100 =0.016  

time t= 7years

by applying the expression

[tex]V = Pe^{rt}[/tex]

We have

[tex]V = 4760e^{0.016*7}\\\\ V=4760e^{0.112}\\\\ V=4760*1.11851286065\\\\ V=$5324.12[/tex]

Hence after 7 years the money in the account will be $5324.12

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