Write an expression equivalent to (2/5)^4 using a positive exponent.

Answers

Answer 1

According to the given statement the positive exponent is [tex]\frac{16}{625}[/tex].

What do an exponent and an example mean?

Exponents are a method of expressing enormous magnitudes in terms of their respective powers. The amount of times some number has already been multiplied in itself is the exponent, so to speak. For instance, the result of multiplying the number 6 on it's own four times is 6 6 6 6. This may be expressed as 64. Here, the exponent and base are 4 and 6, respectively.

The solution to powers and exponents.

The exponent is the exact quantity of times that base would be compounded on its own. As a result, if two powers have the same foundation, they can be multiplied. Whenever two powers are multiplied, exponents are added. If necessary, we can also divide the abilities.

Briefing:

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

= [tex]\frac{2}{5} \times\frac{2}{5} \times\frac{2}{5} \times\frac{2}{5} \\\\\frac{16}{625}[/tex]

Hence, the required exponent is [tex]\frac{16}{625}[/tex].

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Related Questions

A computer engineer is investigating whether the amount of installed RAM (random access memory) can be used to predict the mean cost of a laptop with the operating system. The computer engineer collected a sample of 20 laptops with the same operating system. The engineer wants to estimate the mean change in the cost, in dollars, for each increase of 1 gigabyte of installed RAM. Assuming the conditions for inference have been met, which of the following inference procedures is the most appropriate for such an investigation?

a. A two-sample z-interval for a difference between proportions.
b. A two-sample t-interval for a difference between means.
c. A matched-pairs t-interval for a mean difference.
d. A one-sample t-test for means.
e. A linear regression t-interval for slope

Answers

I agree with (a). As the best sentence

Two Social Security numbers (see Exercise 8.12) match zeros if a digit of one number is zero iff the corresponding digit of the other is also zero. In other words, the zeros in the two numbers appear in exactly the same position. For example, the Social Security numbers 120-90-1109 and 430-20-5402 have matching zeros.
Prove: Given a collection of 513 Social Security numbers, there must be two that match zeros.

Answers

Answer:

Proved

Step-by-step explanation:

From the given parameters, we have:

[tex]n = 9[/tex] i.e. the length of each security numbers

[tex]r = 2[/tex] i.e. 2 security numbers

Required

In 513 security numbers, 2 must have matching zeros

To do this, we make use of Pigeonhole principle.

First, we calculate the number of all security numbers not having matching zeros.

Each of the 9 digits can be selected in 2 ways.

2 ways implies that each digit is either 0 or not

So, total selection is:

[tex]Total = 2^9[/tex]

[tex]Total = 512[/tex]

Apply Pigeonhole principle

The principle states that: suppose there are n items in m containers, where [tex]n>m[/tex], then there is at least one container that contains more than 1 item.

This means that if there are 512 security number without matching zeros, then there is 1 (i.e. 512 + 1) with matching zeros.

[tex]512 + 1 = 513[/tex]

what is a good communication​

Answers

Answer:

text or video calls

Step-by-step explanation:

Answer: Employers value employees who can communicate effectively;

Step-by-step explanation: it means they are able to listen to others, as well as successfully relay their own ideas and opinions.

find the gcf of 2³×3² and 2³×3⁴ please no links

Answers

Answer:

Step-by-step explanation:

GCF - List out the prime factors that are common to both numbers

2³ * 3²

2³ * 3⁴

GCF = 2³ * 3² = 8 *9 = 72

Special right triangles. find the value of x?
hypotenuse = leg ×
[tex] \sqrt{2} [/tex]

Answers

Answer:

x = (9√2)/2

Step-by-step explanation:

Reference angle = 45°

Hypotenuse length = 9

Adjacent length = x

Apply the trigonometric ratio CAH:

Cos 45° = Adj/Hyp

Cos 45° = x/9

Multiply both sides by 9

9*Cos 45 = x

9*1/√2 = x (cos 45 = 1/√2)

9/√2 = x

Rationalize

(9*√2)/2 = x

x = (9√2)/2

Kelsey gave the cashier $30 to pay for 4 pounds of steak. The cashier gave her $3.12 in change. Each pound of steak cost the same amount. What is the cost in dollars and cents for each pound of steak? A. $26.88 A. , $26.88, , , , , , B. $6.72 B. , $6.72, , , , , , C. $7.50 C. $7.50, D. $8.28

Answers

Answer:

B

Step-by-step explanation:

30-3.12=26.88 divide that by 4 and you get 6.72

Answer:

The Answer is B, $6.72

Step-by-step explanation:

30-3.12= 26.88

26.88÷ 4= 6.72

A certain high school reported that only 74% of its students enroll in a math class during senior year. If
there are 407 seniors enrolled in math at this school, how many seniors are in the school?

Answers

Answer:

550 students are in the school.

Step-by-step explanation:

The way I found my answer was by first turning 74% into a decimal, which is 0.74.  Then I divided 407 by 0.74 and I got 550.  Therefore, 550 is our answer.

Noah has 102 inches of border for poster board. He uses 7 feet of the border. How much border is left

Answers

Answer:

The answer is 18.

Step-by-step explanation:

You take 7x12 which is 84 and then you take 84 and subtract it from 102 inches so 102-84=18.

Hope this helps!

Noah after using 7 feet of the border is now left with 95 feet of the boarder.

What are some alternative names for arithmetic operations?

Addition is also known as the sum, subtraction is also known as the difference, multiplication is also known as the product, and division is also known as the factor.

We also know about some basic properties of arithmetics,

There are three types of basic arithmetic laws of operation.

Commutative law for addition and multiplication states,

a + b = b + a.

a×b = b×a.

Distributive law states,

a(b ± c) = ab ± ac.

Associative law states,

a + (b + c) = (a + b) + c.

Given, Noah has 102 inches of the border for poster board and he uses 7 feet of the border.

Therefore, The amount of border left can be obtained by subtracting the length used from the total length which is,

= (102 - 7) feet.

= 95 feet.

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Kelly had an apple She cut it in half, and then she cut it in half again
She ate three pieces of the apple. How many pieces did Kelly have it?

Answers

Step-by-step explanation:

I think the answer is 3 pieces so Kelly had 3 pieces of Apple hope it helps.

3! i did a small think about it. its easy, I hope you can do it too


A gumball machine consists of a base and a glass sphere. The gumballs are stored in the glass sphere. If each
gumball has a diameter of 1.5 inches, about how many gumballs can be stored in a gumball machine whose glass
sphere measures 10 inches in diameter?

Answers

Answer:

6 gumballs can be stored in the gumball machine.

Step-by-step explanation:

Since a gumball machine consists of a base and a glass sphere, and the gumballs are stored in the glass sphere, if each gumball has a diameter of 1.5 inches, to determine how many gumballs can be stored in a gumball machine whose glass sphere measures 10 inches in diameter, the following calculation must be made:

10 / 1.5 = X

6.666666 = X

Thus, 6 gumballs can be stored in the gumball machine.

Margot has paid $13,800 in
rent for a year. How much is
her monthly rent, r?
Hint: Remember there are 12
months in a year.

Answers

Answer:

$1150 per month

Step-by-step explanation:

13800/ 12

Help please will mark brainliest!!!

Answers

Answer:

504

Step-by-step explanation:

A = (.5bh)*6

Plug in your known numbers

A = (.5*12*14)*6

Since there is nothing missing just multiple together and you'll get

Find the mean absolute deviation for the set below. S = 65, 90, 85, 70, 70, 95, 55
A. 12.24
B. 75.7
C. 114
D. 32.67
(I’ll give points + brainalist)

Answers

Answer:

A) 12.24

Step-by-step explanation:

Mean absolute deviation: 65, 90, 85, 70, 70, 95, 55 = 12.244897959184

Answer:

75.7

Step-by-step explanation:

Help please!

This is due on April 18th but I would prefer the answer today! No sus links please!

Answers

3(y-2)=18

3y-6=18

3y=24

y=8

HOPE THIS HELPS AND YOU GOT GOOD GRADES

Answer:

blank 1= 6

blank 2=6

Step-by-step explanation:

y=2

3y=6

6/3=2

hope that helps

have a great day/night

Find the common ratio of the geometric sequence. You must write r=

7640, 764, 76.4, 7.64,

Answers

Answer:

1/10 is the common ratio

simplified is 0.1

mark me brainilest:)

You have 32 cups of milk. You need 1.25 cups to make one serving of deep-fried chicken. How many servings can you make? Whole servings only - round down rather than using partial servings.​

Answers

Answer:

25 cups and 3/5 of a cup

Step-by-step explanation:

Bro trust me

Answer:

25

Step-by-step explanation:

32÷1.25=25.6

I hope this helps ^-^

please answer asap! no scam links or scam comments or reported.

Answers

Answer:

C

Step-by-step explanation:

Answer:

B. The longer a skydiver is in freefall, the more feet they fall per second

Step-by-step explanation:

ZABD and ZDBC are supplementary angles.
What is the measure of x?
x = [?]°
7D
AK
X78°
B
>C
Angles are not drawn to scale.
Enter


Will give Brainiest if right

Answers

Answer:

79*

Step-by-step explanation:

HELP LOOK AT PHOTO PLEASE

Answers

Answer:

y=60

Step-by-step explanation:

1) Find x

All the interior angles of a triangle add up to 180 degrees. Knowing this, we can construct the following equation:

[tex]180=x+35+25\\180=x+60[/tex]

Subtract 60 from both sides

[tex]180-60=x+60-60\\120=x[/tex]

2) Find y

A straight line has an angle measure of 180 degrees as well. Knowing this, we can construct the following equation:

[tex]180=x+y\\180=120+y[/tex]

Subtract 120 from both sides of the equation

[tex]180-120=y+120-120\\60=y[/tex]

There is also a second way to solve for y: An exterior angle of a triangle is equal to the sum of the opposite interior angles. y, in this case, would be the exterior angle and 35 and 25 degrees would measure the opposite interior angles. To solve for y, we just add 35 and 25, getting us 60 degrees.

I hope this helps!

Solve for x

Plz help!

Answers

B is the answer hope I help

Which equation shows x^2+6x-2 = 0 rewritten by completing the square?

A. (x+3)^2=18
B. (x+3)^2-11
C. (x+3)^2-2
D. (X+3)^2-9

Answers

Answer:

Option B.

Step-by-step explanation:

We have the equation:

x^2 + 6*x - 2 = 0

Remember that:

(a*x + b)^2 = (a*x)^2 + 2*a*b*x + b^2

Because the term with x^2 has a coefficient equal to 1, then a = 1.

(x + b)^2 = x^2 + 2*b*x + b^2

The ter with x is: 6*x

then:

2*b*x = 6*X

2*b = 6

b = 6/2 = 3

we have:

(x + 3)^2 = x^2 + 6*x + 9

Now, our equation is:

x^2 + 6*x - 2 = 0

Now we can add the term (11 - 11) = 0

x^2 + 6*x - 2 + (11 - 11) = 0

x^2 + 6*x - 2 + 11 - 11 = 0

x^2 + 6*x + (11 - 2) - 11 = 0

x^2 + 6*x + 9 - 11 = 0

And we know that:

x^2 + 6*x + 9  = (x + 3)^2

Then we can rewrite our equation as:

(x + 3)^2 - 11 = 0

Then the correct option is B.

The equation that matches our result is option B. (x+3)² - 11. Therefore, rewriting x² + 6x - 2 = 0 by completing the square gives us (x+3)² - 11 = 0.

To rewrite the equation x² + 6x - 2 = 0 by completing the square, we need to follow these steps:

Move the constant term (-2) to the other side of the equation:

x² + 6x = 2

Take half of the coefficient of x (which is 6) and square it. Add the result to both sides of the equation:

x² + 6x + (6/2)² = 2 + (6/2)²

x² + 6x + 9 = 2 + 9

x² + 6x + 9 = 11

Now, let's look at the answer choices:

A. (x+3)² = 18

B. (x+3)² - 11

C. (x+3)² - 2

D. (x+3)² - 9

Among the answer choices, the equation that matches our result is option B. (x+3)² - 11. Therefore, rewriting x² + 6x - 2 = 0 by completing the square gives us (x+3)² - 11 = 0.

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whats 21(2 - m) + 12m = 44. please

Answers

Answer:

= − 2 /9

Step-by-step explanation:



3000, 300, 30, 3, ...

O Arithmetic
O Geometric
O Neither

Answers

Answer:

code answer :unknown 976765 answer .geometric

The eight subjects used for this comparison were not a random sample. In fact, they were friends of the researchers whose ages and weights were similar to the types of people who would be measured with this DXA. Comment on the appropriateness of this procedure for selecting a sample, and discuss any consequences regarding the interpretation of the significance testing and confidence interval results.

Answers

Answer:

The sample may be a representative of the future of the future subjects, but the test results and confidence interval are suspect  because it is not a random sample

Step-by-step explanation:

When the subjects used for a research are not a random sample but friends whom share similar qualities/quantities related to the purpose of the experiment. The sample may be a representative of the future subjects, but the test results and confidence interval will not be reliable enough to be accepted as standard simply  because it was not a random sample

Hence the comment :The sample may be a representative of the future of the future subjects, but the test results and confidence interval are suspect  because it is not a random sample

14.53 less then or greater then 16.3

Answers

Answer:

14.53 is less than 16.3, that is the answer

Answer:

14.53 is less than 16.3

yes this is mathematics

A resort hotel rents
bicycles for $20 plus an hourly rate of $6. A
nearby hotel rents bicycles for $15 plus an hourly
rate of $8.
Which equation can be used to determine h, the
number of hours it will take for the cost of renting
a bicycle at both hotels to be the same?

Answers

Answer:

the answer is 20+6h=15+8h

H= 6x + 20
H= 8x + 15

Complete the sentence.
9 is 36% of

Answers

Answer:

35

Step-by-step explanation:

[tex]\frac{9}{y} =\frac{36}{100}[/tex]

y × 36 = 9 × 100

36y = 900

36y ÷ 36 = 900 ÷ 36

y = 35

Answer:

25

Step-by-step explanation:

36%     9        

--------------       (36% over 100% and 9 over x)

100%    x

Cross multiply: 36% times x and 100% times 9

36% times x=36x

100% times 9=900

Divide: 900 divided by 36=25

25 is your answer

Hope this helped!

Bella was here :)

Which expression is equivalent to 8x - 12y + 32

Answers

4(2x-3y+8)

Hope its the correct answer

Answer:

C

-16(0.5x-0.75y+2)

Step-by-step explanation:

I got it right on edge 2022 Hope it helps <3

Find AB. Round the answer to the nearest tenth if needed.

Answers

9514 1404 393

Answer:

  8

Step-by-step explanation:

The product of segment lengths to the near and far circle intersection points is the same for both "secants". AD is a tangent, so the two intersection points are the same point. This gives ...

  AD² = AB·AC

  144 = AB(AB +10)

We can add 25 to complete the square.

  169 = (AB +5)² . . . write as a square

  13 = AB +5 . . . . . . positive square root

  8 = AB . . . . . . . . . .subtract 5

Hayden has 90 trading cards

Answers

Answer:

9

Step-by-step explanation:

90/10 =9

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Kendall makes candles and sells them online. To make an Essential Elegance candle, she adds 3 drops of lavender and 6 drops of vanilla to a bowl of unscented wax. To make a Garden Glory candle, she adds 4 drops of lavender and 10 drops of vanilla to the bowl instead. Which candle has a greater ratio of lavender to vanilla?EEEEEEEEEEEEEEEEEE PLZZZ HELP ASAP THANKS Adding and subtracting decimals word problems answer and show proof please PLEASE HELPPPPPPPP ASAP I WILL GIVE BRAINLIEST I WILL GIVE BRAINLIEST!!! NO LINKS PLEASE AND IF YOU DON"T KNOW, DONT ANSWER A rectangular inflatable swimming pool is 245 yards long, 2 yards wide, and 35 yard tall. What is the volume of the pool? Round to the nearest tenth.A. 3.4 yd3 C. 17.0 yd3B. 5.4 yd3 D. 22.0 yd3 You are trying to catch the mutated mouse and you have a ropethat both you and the mouse are pulling with a force of 500 Newtons,but the rope does not move.How much work is done?PLS ANSWER ASAP! WILL MARK AS BRAINLYIST!!!!!time left (5:00)!! How does energy transfer from the hot water to the cold air Pls help need help ASAP 50 points you will be reported if the answer is wrong In animals, glucose is absorbed from the gut into intestinal cells against its concentration of gradient. This one-way process requires energy to work. Which of the following best describes how glucose is absorbed into intestinal cells?A. By osmosisB. By diffusionC. By a bufferD. By active transport What is the average speed of a race car if it travelled a total of 500 miles in 3.5 hours The following steps of digestion are not in the correct order.1. Food is broken down and mixed with acids.2. Water is absorbed.3. Nutrients are absorbed.4. Food travels through the esophagusWhich of the following is the correct sequence of the steps of digestion?Your answer:O 1-3-4-21-2-4.34-1-3-24-3-1-2 32. Assume the helium-neon lasers commonly used in student physics laboratories have power outputs of 0.500 mW. (a) If such a laser beam is projected onto a circular spot 1.00 mm in diameter, what is its intensity Nondisjunction occurs when chromosomes do not properly separate during cell division, which can lead to?.(please no links just written answers)Group of answer choicesDuplicationsTranslocationsAneuploidyAll the above What are a and b when you write -16 in the form a+bi, when a and b are real number?A) a=0, b=-4B) a=0, b=4C) a=-4, b=0D) a=4, b=0 Find the measure of angle B. Need the answer for x and y HELP ASAP (Practice) Please Help me out I just need the answers and pls make sure they are right idrc for an explantion which of the following has the most kinetic energy A: stretching a rubber band B: a jet flying through the air C: trowing a paper airplane D: pitching a baseball Ann took a taxi home from the airport. The taxi fare was $2.10 per mile, and she gave the driver a tip of$5. Ann paid a total of $49.10.