Simplify the given expression, using only positive
exponents. Then complete the statements that
follow
(x²y3)-1 72
(x-2y+z)2
x60, y#0, 2*0.
?
The exponent on x is
The exponent on y is
The exponent on z is

Simplify The Given Expression, Using Only Positiveexponents. Then Complete The Statements Thatfollow(xy3)-1

Answers

Answer 1

Answer: x=4 y=14 z=4

Step-by-step explanation:

On edge it is that

Answer 2

The required exponent on x is 4, the exponent on y is 14, and the exponent on z is 4.

What is simplification?

Using math and algebraic principles, simplification entails removing pointless variables, factors, or operations from an expression. Getting an expression that is simpler to use, manipulate, or solve is the aim. For example, simplifying an algebraic expression might involve combining like terms, factoring, or using the distributive property.

Here,
To simplify the given expression, we need to use the rules of exponents:

= [(x²y³)⁻¹ / (x⁻²y²z)²]²

= [(1 / x²y³) / (x⁻⁴y⁴z²)]²

= [(1 / x²y³) * (x⁴ / y⁴z²]²

= x⁴ / y¹⁴z⁴

Therefore, the exponent on x is 4, the exponent on y is 14, and the exponent on z is 4.

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Related Questions

Consider circle Y with radius 3 m and central angle XYZ measuring 70°.

Circle Y is shown. Line segments Y Z and Y X are radii with lengths of 3 meters. Angle Z Y X is 70 degrees.

What is the approximate length of minor arc XZ? Round to the nearest tenth of a meter.

1.8 meters
3.7 meters
15.2 meters
18.8 meters

Answers

Answer:

3.7

Step-by-step explanation:

The lenght of an arc with a radius of 3m and substended angle of 70 degrees is 3.7meters

How to calculate the length of an arc

The length of an arc is expressed as:

L = r theta

Given the following parameters

r = 3m

theta = 70 degrees = 70π/180

L = 3(70π/180)

L = 3.7 metres

Hence the lenght of an arc is 3.7meters

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How would you find the area of this?

Answers

the formula for it is bh , multiply 14 by 24 and the answer is 336

Dave wants to sketch a scale drawing of the porch. Choose a reasonable scale and make a scale drawing of the porch. Label the demensions of the model

Answers

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

Given the information:

20 feet long 6 feet width

A reasonable scale and make a scale drawing of the porch could be :

1 inch =4 feet

<=> the length side: 20:4 = 5 inches

<=> the width side: 6:4 = 1.5 inches

Hope it will find you well.

pls helllllllllllllp

Answers

Answer:

40

Step-by-step explanation:

24 divided by = 8

8 times 5 = 40

can i have brainliest please

Answer:

40

Step-by-step explanation:

there is a 5 to 3 ratio for ice cream cones to brownies

ice cream: brownies

5:3

x:24

three times eight is 24

five times eight is 40

In the diagram below, OPis circumscribed about quadrilateral ABCD. What is
the value of x?
A. 80°
o
o
120-
B. 30°
C. 120
O O
D. 60°
SUEM MES
< PREVIOUS

Answers

Answer: The correct answer is D!!! 60

Step-by-step explanation:

The measure of the value of x from the given quadrilateral is 81 degrees.

Circle geometry

From the given diagram, the quadrilateral is inscribed in the circle.

USing the theorem; "the sum of opposite angle of a quadrilateral is 180degrees, hence;

x + 98 = 180

Subtract 98 from both sides

x + 98 - 98 = 180 -98

x = 180 - 98

x = 81 degrees

Hence the measure of the value of x from the given quadrilateral is 81 degrees.

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3.64 divided by 60.5 ROUNDED plz answer!!!

Answers

Answer:

0.06

Step-by-step explanation:

c(1)=-20 c(n)=c(n-1)+10 find second term

Answers

Answer:

c(2) = -10

Step-by-step explanation:

c(1)=-20

c(n)=c(n-1)+10

Let n = 2 since n indicates the term number

c(2)=c(2-1)+10

     = c(1) +10

     = -20+10

      = -10

I need help with these plzzz

Answers

Answer:

1. C 2. B

Step-by-step explanation:

1. find the total circumference, d times pi, then put 42 over 360 and multiply them to get that section

2. The actual value of x is 33.2

So I plugged in that value for all of them

The Answer is 1.c 2.b

Margo can purchase tile at a store for $0.89 per tile and rent a tile saw for $45. At another store she can borrow the tile saw for free if she buys tiles there for $1.39 per tile. How many tiles must she buy for the cost to be the same at both stores?


Margo must buy ____ tiles for the cost to be the same at both stores.

Answers

Answer:

She must buy 90 tiles for the cost to be the same at both stores

Step-by-step explanation:

Let x be the no. of tiles bought for the cost to be the same at both stores

Margo can purchase tile at a store for $0.89 per tile at shop 1

Cost of x tiles =0.89x

She rent a tile saw for $45.

So, total cost at Store 1 = 0.89x+45

At another store she can borrow the tile saw for free if she buys tiles there for $1.39 per tile.

So, cost of 1 tile = 1.39

Cost of x tiles = 1.39x

ATQ

0.89x+45=1.39x

45=1.39x-0.89x

45=0.5x

[tex]\frac{45}{0.5}=x[/tex]

90=x

Hence She must buy 90 tiles for the cost to be the same at both stores

If you had to add two fractions with denominators of 4 and 5. What might the denominator of the sum be? Show more than one possibility. Use specific fraction examples.

Answers

Answer:

9

Step-by-step explanation:

what is the 7th term in the sequence 48,40, 32, 24,

Answers

Answer:

0

Step-by-step explanation:

Take the second term and subtract the first term

40-48 = -8

Take the third term and subtract the second term

32-40 = -8

The common difference is -8

We have the 4th term

24

The fifth term is

24-8 = 16

The sixth term is 16-8 = 8

The seventh term is 8-8 =0

Answer: 16

Step-by-step explanation:

The answer is 16 because you are going down by 8s

Given that x+1 is a factor of 2x^3-3x^2-8x-3 , solve 2x^3-3x^2-8x-3=0. This means find all the roots for the function.

Answers

Answer:

x=-1, -1/2, 3

Step-by-step explanation:

There are 2 violet balls and 4 pink balls in a bag.if two balls are drawn one after the other , then what is the probability of getting violet first and pink next, if the first ball drawn is replaced?

Answers

Answer:

c

Step-by-step explanation:

The probability of getting violet first and pink next is [tex]\dfrac{2}{9}[/tex].

Given:

The number of violet balls is 2.

The number of pink balls is 4.

To find:

The probability of getting violet first and pink next, if the first ball drawn is replaced.

Explanation:

We know that,

[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]

Total number of balls is:

[tex]2+4=6[/tex]

The probability of getting violet a ball is [tex]\dfrac{2}{6}[/tex].

The first ball drawn is replaced, then the total number of balls remains the same. Then the probability of getting a pink ball is [tex]\dfrac{4}{6}[/tex].

The probability of getting violet first and pink next, if the first ball drawn is replaced is:

[tex]P=\dfrac{2}{6}\times \dfrac{4}{6}[/tex]

[tex]P=\dfrac{1}{3}\times \dfrac{2}{3}[/tex]

[tex]P=\dfrac{2}{9}[/tex]

Therefore, the probability of getting violet first and pink next is [tex]\dfrac{2}{9}[/tex].

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What is the distance between points A(13, 2) and B(7, 10)

Answers

Answer:

distance = sqrt((x2-x1)^2 + (y2-y1))

distance = sqrt((7-13)^2 + (10-2)^2)

distance = sqrt( -6^2 + 8^2)

distance = sqrt(36+64)

distance = 10

Step-by-step explanation:

Answer:

10 units

Step-by-step explanation:

d = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]

d = [tex]\sqrt{(13 - 7)^2 + (2 - 10)^2}[/tex]

d = [tex]\sqrt{(6)^2 + (-8)^2}[/tex]

d = [tex]\sqrt{36 + 64}[/tex]

d = [tex]\sqrt{100}[/tex]

d = 10 units

solve the equation 18y - 17 = 7 for y

Answers

Answer:

y = 1.3

Step-by-step explanation:

18y - 17 = 7

18y = 7 + 17

18y = 24

y = 24/18

y = 1.3

hope it helps!

Answer:

y=4/3

Step-by-step explanation:

To solve for y, we need to isolate it.

18y-17=7

Let's start by adding 17 to both sides.

18y=24

Next, we can divide both sides by 18.

y=24/18

Simplify.

y=4/3

What are the steps of finding the Circumference of a circle

Answers

radius squared times pie

Answer:

How to find the circumference of a circle:

Step-by-step explanation:

The circumference of a circle can be found by multiplying pi which is 3.14 by the diameter of the circleIf a circle has a diameter of 4, its circumference is 3.14 x 4 = 12.56If you know the radius, the diameter is twice as large

Hope this helps! :)

Please help me with this question

Answers

Answer:

Either 36.35 or 16.00173

Step-by-step explanation:

the reason im saying its either is due to not remembering whether do divide by inverse cosine to get on other side of equal sign or to just divide the cosine as is.

IF you are supposed to use inverse cosine:

16.00173

IF NOT:

36.35182

hey can anyone pls help me out in dis pls i will mark u as brainliest!!!!! and i will give 30 points

Answers

Answer:

graph b because its a parabola

Step-by-step explanation:

Answer:

Graph B does not belong

Step-by-step explanation:

All the other graphs are linear inequalities, whereas graph B is a quadratic inequality. You can also tell by how they look. The straight lines are linear, and the symmetric curve (parabola) is a quadratic

Georgianna wants to use the linear model associated with the data in the table to make a prediction.

A 2-column table with 5 rows. The first column is labeled time (minutes) with entries 0, 5, 10, 15, 30. The second column is labeled distance (miles) with entries 0, 4, 9, 13, 18.
Which range of time values describes the entire interval over which she would be interpolating?

0 to 5 minutes
0 to 18 minutes
0 to 30 minutes
18 to 30 minutes

Answers

Answer:

0 to 30 minutes on edg.

Step-by-step explanation:

Answer:

c on e 2020

Step-by-step explanation:

Given that P(A)=0.5 and P(A and B)=0.4, if A and B are independent events, what is the probability of event B?

0.2

0.1

0.8

0.9

Answers

Answer:

0.8

Step-by-step explanation:

an isosceles trapezoid is a trapezoid with congruent legs. true or false?

Answers

Answer:

true

Step-by-step explanation:

If a trapezoid has congruent legs, it is an isosceles trapezoid.

Hope this helps.

It is true, that an isosceles trapezoid is a trapezoid with congruent legs.

A statement is to justify that tells an isosceles trapezoid is a trapezoid with congruent legs.

What is geometry?

It is branch of math that pacts with the dimensions, properties, and connections of points, strings, slopes, surfaces, and solids extensively the analysis of effects of given elements that remain consistent beneath prescribed conversions.

Definition of the isosceles trapezoid, when two non-parallel sides(legs) of the trapezoid are congruent then the trapezoids can be said the given trapezoid is an isosceles trapezoid.


Thus, it is true that an isosceles trapezoid is a trapezoid with congruent legs.

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the graphs of f(x)=-2x and g(x)=(1/2)^x are shown. what are the solutions to thr equation -2x=(1/2)^x? select each correct answer.
-2
-1
2
4

Answers

Answer:

-2

Step-by-step explanation:

hello :

f(x)=-2x and g(x)=(1/2)^x

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

g(-2)=(1/2)^-2 = 1/2^-2 = 2²=4

Two opposing opinions were shown to a random sample of 1,500 buyers of a particular political news app in the United States. The opinions, shown in a random order to each buyer, were as follows:

Opinion A: Improving the healthcare system is more important than improving the education system.

Opinion B: Improving the education system is more important than improving the healthcare system.

Buyers were to choose the opinion that most closely reflected their own. If they felt neutral on the topics, they were to choose a third option of "Neutral."

The outcomes were as follows:
39% chose Opinion A, 54% chose Opinion B, and 7% chose "Neutral."

Part A: Create and interpret a 98% confidence interval for the proportion of all US buyers of this particular app who would have chosen Opinion B. (5 points)

Part B: The number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B are both greater than 10. Why must this inference condition be met? (5 points)

Answers

Answer:

A) 98% Confidence interval for the proportion of all US buyers of this particular app who would have chosen Opinion B

= (0.51, 0.57)

This means that the true proportion of all thay would chose opinion B can take on values between the range of (0.51, 0.57)

B) For the confidence interval obtained to be valid, the conditions stated must be satisfied and for the sampling distribution to be approximately normal, the number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B must both be greater than 10.

Step-by-step explanation:

Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample proportion) ± (Margin of error)

Sample proportion of all US buyers of this particular app who would have chosen Opinion B = 0.54

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error)

Critical value at 98% confidence interval for sample size of 1500 is obtained from the z-tables.

Critical value = 2.33

Standard error = σₓ = √[p(1-p)/n]

p = sample proportion = 0.54

n = sample size = 1500

σₓ = √(0.54×0.46/1500) = 0.0128685664 = 0.01287

98% Confidence Interval = (Sample proportion) ± [(Critical value) × (standard Error)]

CI = 0.54 ± (2.33 × 0.01287)

CI = 0.54 ± 0.02998)

98% CI = (0.51, 0.57)

98% Confidence interval = (0.51, 0.57)

B) The number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B are both greater than 10. Why must this inference condition be met?

For this confidence interval to be obtained using sample data, a couple of conditions are necessary to be satisfied. They include;

- The sample data must have been obtained using a random sampling technique.

- The sampling distribution must be normal or approximately normal.

- The variables of the sample data must be independent of each other.

On the second point, the condition for a binomial distribution to approximate a normal distribution is that

np ≥ 10

and n(1-p) ≥ 10

The quantity np is the actual sample mean which is the actual number of buyers that chose Opinion B while n(1-p) is the number of buyers that did not chose Opinion B.

For the confidence interval obtained to be valid, the conditions stated must be satisfied and for the sampling distribution to be approximately normal, the number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B must both be greater than 10.

Hope this Helps!!!

Which of the following options have the same value as %25, percent of 64? Choose 2 answers:
A 25⋅64
B 25/100⋅64
C 0.25⋅64
D 64÷ 25/100
E 25÷ 64/100

Answers

Answer:

B and C

Step-by-step explanation:

25% of 64 is 16. So find the two answers that are equivalent to 16.

A: 25*64 = 1600 [tex]\neq[/tex] 16

B: [tex]\frac{25}{100}[/tex]*64 = 16

C: 0.25 * 64 = 16

D: 64/[tex]\frac{25}{100}[/tex] =256 [tex]\neq[/tex] 16

E: 25/[tex]\frac{64}{100}[/tex] = 39.06 [tex]\neq[/tex] 16

Answer:

its b and c. had the same problem.

Given segment CE and point D that lies on CE, find CD if CE= 11, CD= -16-3x, and ED= -13-2x

Answers

Answer:Assuming all three, we shall find that each of the relations in 3:14 leads to a ... Then by 3:15 the relations AD//BC and AB||DE imply AD//CE, which excludes ... From 2:72, 3:11, 3:14, and 3:16 we deduce 3:19 If A, B, C are three distinct ... a point D lies between X and Y in AB/C if it belongs to XY/C, that is, if XY||CD

Step-by-step explanation:

EMERGENCY!!!! EXTRA POINTS! I HAVE POSTED THIS QUESTION 5 TIMES AND HAD TO REPORT ALL RESPONSES! I ACTUALLY NEED HELP!
The amusement park in Riverdale charges a $10 entrance fee plus $1 per ride. The amusement park in Esterdamb charges a $5 entrance fee and $2 per ride. For how many rides will the cost be the same for both amusement parks? x= # of rides
Number of rides_____?
Cost_____?

Answers

Answer:

the price will be the same for either amusement park

Step-by-step explanation:

10+1(x)=?

5+2(x)=?

ex; x=5

10+1(5)=                                   5+2(5)=

10+5=                                      5+10=

15                                            15

Answer:

5 rides, cost of $15

Step-by-step explanation:

With the information given we have two expressions:

10 + 1x and 5 + 2x

Using these expressions we can create this equation:

10 + 1x = 5 + 2x

Knowing some information we can can simply analyze some information:

The closest number each of these equations could equal is 15,

1(5) is 5 + 10 = 15, and 2(5) is 10 + 5 = 15

15 = 15 this is a true statement, so we know this is answer

Hope this helps! Have a good day!

The partial pressure of carbon dioxide in a mixture is 0.31 atm.

If the mole fraction of the carbon dioxide is 0.46, what is the

total pressure of the mixture?

Answers

Answer:

[tex] P_{Co2}= X_{Co2} P_{tot}[/tex]

Where [tex] P_{tot}[/tex] represent the total pressure and [tex]X_{Co2}[/tex] the fraction of carbon dioxide is 0.46 and we can find the total pressure with this formula:

[tex] P_{tot}= \frac{P_{Co2}}{X_{Co2}}[/tex]

And replacing we got:

[tex] P_{tot}= \frac{0.31 atm}{0.46}= 0.674 atm[/tex]

Step-by-step explanation:

For this case the partial presure of carbon dioxide is given by:

[tex] P_{Co2}= X_{Co2} P_{tot}[/tex]

Where [tex] P_{tot}[/tex] represent the total pressure and [tex]x_{Co2}[/tex] the fraction of carbon dioxide is 0.46 and we can find the total pressure with this formula:

[tex] P_{tot}= \frac{P_{Co2}}{X_{Co2}}[/tex]

And replacing we got:

[tex] P_{tot}= \frac{0.31 atm}{0.46}= 0.674 atm[/tex]

Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are -36 and 2304, respectively.

Answer Choices:

A) an = 9 • 4n

B) an = 9 • (-4)n + 1

C) an = 9 • 4n - 1

D) an = 9 • (-4)n - 1

Answers

It’s probably B but I’m sure yet

Mrs. Ellis determines that 5 gallons of water flow from a faucet in 3 minutes. The water continues to flow at the same rate. Which equation can be used to represent the number of gallons, y, that flow through the faucet in x

Answers

Answer:

y=5/3x

Step-by-step explanation:

The equation can be used to represent y = (5/3)x.

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

We have been given that Mrs. Ellis determines that 5 gallons of water flow from a faucet in 3 minutes.

Since the water continues to flow at the same rate.

Using represent the number of gallons, y, that flow through the faucet in x

In 3 minutes, 5 gallons of water come out of a faucet.

So the equation can be used to represent y = (5/3)x

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Phoebe built the sandbox below for her younger sister.
2 feet
4 feet
5 feet
What is the volume of the sandbox?

Answers

I think its 40ft i hope it helps

Answer: 40 feet

Step-by-step explanation:  Volume = length * width * height

then substitute Volume = 2 * 4 * 5

multiply Volume = 8 * 5

multiply again Volume = 40

hope this helps mark me brainliest if it did have a great day

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