1.
(MC)
Rewrite the rational exponent as a radical by extending the properties of integer exponents. (2 points)

2 to the 3 over 4 power, all over 2 to the 1 over 2 power

the eighth root of 2 to the third power
the square root of 2 to the 3 over 4 power
the fourth root of 2
the square root of 2
2.
(MC)
Explain how the Quotient of Powers was used to simplify this expression. (2 points)

5 to the fourth power, over 25 = 52

By simplifying 25 to 52 to make both powers base five, and subtracting the exponents
By simplifying 25 to 52 to make both powers base five, and adding the exponents
By finding the quotient of the bases to be one fifth , and cancelling common factors
By finding the quotient of the bases to be one fifth , and simplifying the expression
3.
(MC)
Rewrite the radical as a rational exponent. (2 points)

the cube root of 2 to the seventh power

2 to the 3 over 7 power
2 to the 7 over 3 power
221
24
4.
(MC)
Rewrite the rational exponent as a radical. (2 points)

5 to the 3 over 4 power, to the 2 over 3 power

the cube root of 5 squared
the twelfth root of 5
the square root of 5
the cube root of 5 the fourth power
5.
(MC)
A rectangle has a length of the fifth root of 16 inches and a width of 2 to the 1 over 5 power inches. Find the area of the rectangle. (2 points)

2 to the 3 over 5 power inches squared
2 to the 4 over 5 power inches squared
2 inches squared
2 to the 2 over 5 power inches squared

Answers

Answer 1

Answer: 1

the fourth root of 2


Related Questions

need help with all of these questions you see on the top. there the red squares. please someone smart. this is one of the problems I need to finish this tonight​

Answers

Answer:

254.5 ft^3

Step-by-step explanation:

The volume of a cylinder is the area of the base times its height. To find the area of the base, since it is a circle, you would use the area formula of a circle([tex]\pi r^{2}[/tex] where r is the radius). So, the circle would have an area of 81 π. Now, multiplying this by the height, you get the volume. Since the height is just 1, the volume would be 81π which is 254.469004941. This rounded to the nearest tenth is 254.5.

Answer: 254.3 ft^3

Step-by-Step Explanation:

Height (h) = 1 ft
Radius (r) = 9 ft
Pi (π) = 3.14

Volume of Cylinder = πr^2h

Therefore,
=> πr^2h
= π * r * r * h
= 3.14 * 9 * 9 * 1
= 28.26 * 9 * 1
= 254.34 * 1
= 254.34

Rounding off to nearest 10th = 254.3
Volume of Cylinder = 254.3 ft^3

Chandra is working on an art project using a cone that had a height of 11 inches and a base radius of 2 inches whats the volume of the cone to the nearest cubic inch

Answers

Answer:

=29 in³

Step-by-step explanation:

Volume of a cone = 1/3×π×2³×11

= 29 1/3 in³

= 29 in³ (to the nearest whole number)

Can someone help me out on this question! I’ll give mark you brainliest if you answer!!!

Answers

Part A

Answer:  School B

Reason:

The range, IQR, and the standard deviation are all measures of spread.

IQR stands for Interquartile Range. Unfortunately your teacher made a typo and wrote IRQ by mistake.

The symbol [tex]\sigma[/tex] is the greek letter sigma used to represent the population standard deviation.

The smaller these measures are, the more less spread out the values will be. This leads to the most consistent data set. Think of it like being on an archery range. The more consistent shots are closely clustered around the same point (not necessarily the center), while the less consistent shots are more randomly scattered about.

School B has the smallest range, IQR, and standard deviation of the three schools. Therefore, this school has the most consistent attendance.

=============================================================

Part B

Answer:   School C

Reason:

This school has the highest mean, and also the largest median, of all three schools. Both of these are measures of center or average. Compared to school B, this data set is a bit more spread out and not as consistent.

HELP ME PLEASE !!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

C

Step-by-step explanation:

she wants to get information about the behavior of registered voters, but she surveys newspaper subscribers.

we have no clue, if they are registered voters.

if they are not, then the information does not apply.

if they are a mixture, then the survey mixed apples and oranges and does not provide usable information.

only if they all are also registered voters (which we don't know), this would provide some useful information.

but even in that last case I have to say she would have gotten information only about voters reading a specific newspaper. this particular newspaper might be one with especially short or long political commentaries. for better results the demographic sample population should cover multiple newspapers, or be newspaper independent (by picking the sample from voters registration lists instead of newspaper subscription lists).

Thirteen people are entered in a race. If there are no ties, in how many ways can the first
three places be awarded?
A) 858
B) 1684
C) 1716
D) 39

Answers

Answer:

Answer c

Mark brainliest :)

I've been helping a ton of people and haven't even asked a question yet! I'm stuck on how to do this, and I could use some help. I'd really appreciate it if someone could help me :)

Answers

Answer:

Step-by-step explanation:

Answer to first question = her mistake was that she wrote the constant to be 10 whereas the constant is actually -10 once you rearrange the equation to look like a quadratic equation.

Quadratic equations are written in form of ax^2 + bx + c = 0

You are given x^2 + 3x = 10, first you need to bring the constant c (10) to the left side (by subtracting 10 on both sides).

x^2 + 3x - 10 = 0

c = -10

Answer to second part:

x = 2, -5

1. How do binomial and geometric models differ?
2. In what situations would a geometric model be better than a binomial model?

Answers

Answer: A binomial has a specified number of trials just before an experiment begins, and X counts the number of achievements acquired within that limited number. While a geometric, on the other hand, has a fixed number of successes and counts the number of attempts necessary to reach the first success. 

Step-by-step explanation:

This is only for the first question i don't know the second one sorry

The required difference between binomial and geometric models is In binomial there is to count of the number of successes, and in the geometric model, only the first success counts.

GIven that,
To determine how do binomial and geometric models differ and situations would a geometric model be better than a binomial model.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements.

Binomial distribution describes the number of successes k achieved in n trials and Given a finite number of trials, the geometric distribution is useful for calculating the chance of success.

Before an experiment starts, a binomial has a set number of trials, and X counts the number of successes attained within that fixed number. A geometric, on the contrary, count the number of efforts required to attain the first success and has a set number of successes.

The experiment can have an infinite number of attempts before success, unlike the binomial distribution which has a fixed number of trials, hence the geometric distribution is useful to describe the number of failures before the first success in such a sequence of trials.

Thus, the required difference between binomial and geometric models is In binomial there is to count of the number of successes, and in the geometric model, only the first success counts.

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One of the legs of a right triangle measures 13 cm and the other leg measures 7 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.

Answers

Answer:14.8

Step-by-step:
Use the equation a^2+b^2=c^2
Plug in 13 for a and 7 for b
13^2+7^2=c^2
Multiply the number by themselves
13•13+7•7=c^2
169+49=c^2
218=c^2
Square root both side
14.76=c
Round the nearest tenth
14.8

what is 3.5 times more than 34.80​

Answers

well times means multiply so 3.5 times 34.80 is 121.8



Select two ratios that are equivalent to 4:18.



Answers

Answer: The two ratios that are equivalent to 4:18 include 2:9 and 8:36

Step-by-step explanation:

To be able to solve this question, we've to simplify the given ratio. Therefore, 4:18 will be reduced to the lowest term and this will be:

= 4/18 = 2/9

Also, when 4/18 is multiplied by 2 for both the numerator and denominator, the value will be:

= 4×2/18×2

= 8/36

Therefore, the correct options will be B(2:9) and E(8:36).

it is easy.....

first, convert this ratio into a fraction

4 : 18 = 4/18

now , equivalent fractions

= 4 = 4 × 2 , 4 × 3

18 = 18 × 2 ,18 × 3

now answer

= 4/18 , 8/36 , 12/54

again covert into ratio

= 4:18 , 8:36 , 12:54

36 and 2 are (the GCF and the LCM)

The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.

36

Find the prime factors of each term to find the greatest common factor (GCF).

2

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The volume of a tree stump can be modeled by considering it as a right cylinder. Justin measures its circumference as 84 in and its volume as 20214 cubic inches. Find the height of the stump in feet. Round your answer to the nearest tenth if necessary.

Answers

Given the values of the circumference and volume, the height  of the tree trump to the nearest tenth is 36.0in.

What is a cylinder?

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

The volume of a cylinder is expressed as;

V = π × r² × h

Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 )

Given the data in the question;

Circumference of the circular base C = 84inVolume of the cylinderical tree stump V = 20214in³

First we determine the radius of the circular base.

Since circumference C = 2πr then r = C / 2π.

Hence, the volume of the cylinderical tree stump will be;

V = π × (C / 2π)² × h

V = π × ( C² / 4π² ) × h

V =  hC² / 4π

4πV = hC²

h = 4πV / C²

We substitute our given values into the expression

h = ( 4 × 3.14 × 20214in³ ) / (84in)²

h = 253887.84in³ / 7056in²

h = 36.0in

Therefore, given the values of the circumference and volume, the height  of the tree trump to the nearest tenth is 36.0in.

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Answer:

3

Step-by-step explanation:

VERIFED PEOPLE ARE WORNG!

Find the length of side a in simplest radical form with a rational denominator.

Answers

Answer:

Step-by-step explanation:

Remark

You need to choose between tan(30) and tan(60). Tan(60) = √3 which has a rational denominator (1).

Tan(60) = opposite / adjacent

Tan(60) = √3

Given

opposite = x

adjacent = 4

Theta = 60

Tan(theta) = √3

Solution

Tan(theta) = opposite / adjacent       Substitute values

√3 = x / 4                                            Multiply both sides by 4

4√3 = x

Answer

x = 4√3

The time, in seconds, that it takes a pendulum to swing back and forth is modeled by the equation below. f (l) = 2 pi startroot startfraction l over 32 endfraction endroot, where l is the length of the pendulum in feet what is the approximate length of a pendulum that takes 2.4 pi seconds to swing back and forth? 1.72 ft 3.05 ft 38.40 ft 46.08 ft

Answers

Considering the given equation for the time, it is found that the length of the pendulum in this problem is of 38.40 ft.

What is the equation for the time it takes for the pendulum to swing back and forth?

The equation is given as follows:

[tex]f(l) = 2\pi\frac{l}{32}[/tex]

In which l is the length of the pendulum.

In this problem, we have that [tex]f(l) = 2.4\pi[/tex], hence:

[tex]f(l) = 2\pi\frac{l}{32}[/tex]

[tex]2.4\pi = 2\pi\frac{l}{32}[/tex]

l = 32 x 1.2

l = 38.4 ft.

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Answer:

c

Step-by-step explanation:

just did it

Joe is packing 1-centimeter cubes into a prism.
What is the volume of the prism?
Show your work below.

Answers

The volume of the prism when Joe is packing the cubes will be 210cm³.

How to calculate the prism?

It should be noted that the volume of the prism given in this situation will be:

= Length × Width × Height

In this case, since Joe is packing 1-centimeter cubes into a prism. The volume will be:

= Length × Width × Height

= 5 × 6 × 7

= 210cm³

In conclusion, the volume will be 210cm³.

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Segment Segment X Y is dilated through point M with a scale factor of 2. Which segment shows the correct result of the dilation?
Point M is the center of dilation. Segment A E has length of 1.5, B F has a length of 2, X Y has a length of 3, C G has a length of 5, and D H has a length of 6.

Answers

Answer:

segment BF

Step-by-step explanation:

What is the value of e?

A 32

B 238

C 58

D 122

Answers

Answer:
C
Explanation:

Solve for x. Round to the nearest tenth, if necessary.

Answers

Answer:

x = 14

Step-by-step explanation.

First I would use sine to find x's value. So ----> sin(30) = 7/x ----> x sin(30) = 7 ----> x = 7/sin(30) = 14.

You Can also find that x is equal to 14 by applying the 30, 60, 90, triangle rule. Becuase '7' opposes the 30 degree angle it is 1/2 the hypotenuse, if thats the case just multiply the 7 by 2 and you have the hypotenuse length.

What number of cakes sold is an outlier

Answers

Answer:

9

Step-by-step explanation:

it is the odd one out, also because it is spread away from the other data points

At the local fair, the admission fee is $8.00 for an adult and $4.50 for a youth.
One Saturday, 209 admissions were purchased, with total receipts of $1304.50.
How many adult admissions and how many youth admissions were purchased?

Answers

The 104 adults and 105 youth admissions were purchased if the admission fee is $8.00 for an adult and $4.50 for a youth.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

At the local fair, the admission fee is $8.00 for an adult and $4.50 for a youth.

Let's suppose the number of admission of adults is x and for youth is y, then,

x + y = 209 ...(1)

8x + 4.50y = 1304.5 ...(2)

After solving the above two linear equation, we get:

x = 104

y = 105

Thus, the 104 adults and 105 youth admissions were purchased if the admission fee is $8.00 for an adult and $4.50 for a youth.

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Evaluate 2r + 1 if r=3

Answers

Answer:

7

Step-by-step explanation:

2r + 1

Let r = 3

2(3)+1

6+1

7

Step-by-step explanation:

We have,

r = 3

[tex]\sf 2r+1[/tex]

Put the value of r,

[tex]\longmapsto \sf 2(3)+1[/tex]

[tex]\longmapsto \sf 6+1[/tex]

[tex]\longmapsto \sf 7[/tex]

...................................

Answers

Of two traingles

2×1/2BHBH3(2)6ft²

Of 3 rectangles

3LB3(10)(3)9(10)90ft²

TSA

90+6=96ft²

Answer:

96 ft²

Step-by-step explanation:

As the base of the prism (the triangle) is an equilateral triangle (the sides are the same length), the surface area of the prism comprises:

3 congruent rectangles2 congruent triangles

Area of a rectangle = width × length

⇒ area of the rectangle = 3 ft × 10 ft = 30 ft²

Area of a triangle = 1/2 × base × height

⇒ area of the triangle = 1/2 × 3 ft × 2 ft = 3 ft²

Total surface area = 3 × area of the rectangle + 2 × area of the triangle

                              = 3 × 30 ft² + 2 × 3 ft²

                              = 90 ft² + 6 ft²

                              = 96 ft²

HELP!! 50 POINTS PLEASEEEE

Answers

The answer is

x y

3 13
7 29
8 33
10 41

just substitute each value of x into the equation given which is y=4x+1

HELP PLEASE determine the number of real number solutions for the equation x^2+6x+9=0​

Answers

Answer:

1 Answer->3

Step-by-step explanation:

To factor this out find the factors of 9 which add up to 6.

3 and 3 work therefore factor it out to

(x+3)(x+3)=0

Using Zero product property x is equal to -3

And there is only one answer which is 3

I need this question answered

Answers

[tex]\bold{ANSWER:}[/tex]
OPTION B

[tex]\bold{EXPLANATIONS:}[/tex]

what is the slope of (–4, 2) and (5, 6)?

Answers

up 1 over +2 if your cords are (-4,2) and (5,6)

Finding Angles (Level 1)
PLEASE full explanation :))

Answers

Answer:

59°

Step-by-step explanation:

A and B are complementary angles since C is right angle.

m∠A + m∠B = 90°31° + m∠B = 90°m∠B = 90° - 31°m∠B = 59°

A bookshelf can hold 16 pounds. each book weighs 8 ounces. how many books can the shelf hold?

Answers

Answer: 32 books

Explanation: 1 lb = 16 oz, and you know that 1 book = 8 oz. 2 books = 16 oz (1 lb). 2 x 16 = 32 books

Yo last one c'monnn pls someone!!

Answers

Answer:

a + (-c),  b,  c - (-b)

Step-by-step explanation:

First, identify the values of each point.

a = -1

b = 2

c = 3

Now, we can solve for the problems listed below the number line. We already know b = 2, so we don't need to solve for that one.

c - (-b) = 3 - (-2)

3 - (-2) = 3 + 2

= 5

--------------------------

a + (-c) = -1 + (-3)

-1 + (-3) = -1 -3

= -4

Now we can list the choices in order from least to greatest.

-4, 2, 5

aka; a + (-c),  b,  c - (-b)

hope this helps!

PLEASE HELP BRAINIEST AND EXTRA POINTS IF RIGHT ON THE QUESTION ALSO PLEASE SHOW YOUR WORK BECAUSE I NEED TO LEARN HOW TO DO THIS ON MY OWN TOO
At what input value will the function f(x)=[tex]\sqrt{-x}[/tex]-2+2 begin to have real outputs?

Answers

Answer:

x = -2

Step-by-step explanation:

Domain of definition

[tex]\sqrt{-x-2}[/tex]

=> -x - 2 >= 0

=> x <= -2

When x = -2 f(x) gets real outputs

An on-the-job injury occurs once every 10 days on
average at an automobile plant. What is the probability that
the next on-the-job injury will occur within

a. 10 days?

b. 5 days?

c. 1 day?

Answers

The probability that the next on-the-job injury will occur within 10, 5, and 1 day are 0.632, 0.393, and 0.095

What is probability?

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We know the exponential distribution is given by;

[tex]\rm P(X < t)=1-e^{-\dfrac{1}{\mu}t}[/tex]

The probability that the next on-the-job injury will occur within 10 days:

[tex]\rm P(X < 10)=1-e^{-\dfrac{1}{10}10}[/tex]

P(X< 10) = 0.632

The probability that the next on-the-job injury will occur within 20 days:

[tex]\rm P(X < 5)=1-e^{-\dfrac{1}{10}5}[/tex]

P(X< 5) = 0.393

The probability that the next on-the-job injury will occur within 1 days:

[tex]\rm P(X < 1)=1-e^{-\dfrac{1}{10}1}[/tex]

P(X< 1) = 0.095

Thus, the probability that the next on-the-job injury will occur within 10, 5, and 1 day are 0.632, 0.393, and 0.095

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The essential question is: What does it take to survive? In terms of LouieZemperini as a young boy, an Olympic athlete, an airman and a castaway, what things help him survive the obstacles, challenges and catastrophes in his life? ( For example: Louie uses his physical strength to climb in and out of the raft when the Japanese bomber is shooting at them. ) Witch term describes the view on the constitution Thomas Jefferson took while considering the national bank? Why is Katniss maintaining her loyalty and love for Peeta during the Games an act of defiance? Explain why. A circular swimming pool has a radius of 8feet. Which measurement is closest to the areaof the swimming pool in square feet? Perform the following mathematical operation and then report the answer in scientific notation.554.3x10^117 - 5044x10^116 =If an incorrect number of significant figures is used, the problem will be marked wrong. Paul has 2 red marbles ve, 8 blue marbles, and 5 purple marbles in hisbag. What is the probability that he will randomly select one purplemarble and one blue marble without replacement A group of 120 people were asked whether their income level is above or below $25,000 and whether they subscribe to a movie channel. the data from the survey is shown in the venn diagram. use the venn diagram to find the missing values in the frequency table. a circle labeled below 25,000 dollars 55 overlaps a circle labeled subscriber 34. overlap is 18. 4-column table with 3 rows. first column has no label with entries subscribes, does not subscribe, total. second column is above 25,000 dollars with entries a, 13, 47. third column is below 25,000 dollars with entries b, 55, 73. fourth column is labeled total with entries 52, c, 120. which shows the correct values for the variables in the table? a = 18, b = 34, c = 65 a = 34, b = 18, c = 68 a = 34, b = 68, c = 47 a = 47, b = 18, c = 68 A word can act as more than one part of speech. True on False What is the solution to the given inequality? 1/2-1/4x>-1/4 Paul has a standard deck of cards. What is the probability that he will choose a 2? What government agency seeks to protect consumers and promotecompetition?O A. FTCB. ITAC. FDAD. IRSHelp asap please (I will give brainliest to whoever gives the best answer)Shipping impacts everything from oil and waste in the water to greenhouse gases in the air. But its necessary for many aspects of our daily lives. What are some things you can do to help minimize these impacts? Y=4x+1 function rule table . Which scientist had a theory about relativity and matter?Ben FranklinRachel CarsonAlbert EinsteinThomas Jefferson Please helppppppp me State if it is a demonstrative pronoun or demonstrative adjective.1) How much do (that, those) gloves cost?2)(This, These) is one of my favorite paintings.3) Im going to make a centerpiece with (this, these) pinecones.4) (This, These) are the rules for the game.5) I think an owl lives in (that, those) hollow tree. The average cost of 2 storybooks was 2.45. One of the books cost 2.80. Find the cost of the other book as players speeds up, their kinetic energy will can you simplify 4x-4=-4x6? PLEASE HELP !!! If you are not interested in a particular job, simply ignore efforts the company makes to contact you.T OR F HELP ASAP How should Spain and Catalonia resolve the issue of independence for Catalonia? Devise a possible solution to the conflict between Catalonia and Spain. Support your solution with three reasons, using evidence from the lesson.