which expression is equivalent to (x^9yz^4)^5

Answers

Answer 1

Applying the rule of exponent, the equivalent expression is: [tex]x^{45}y^{5}z^{20}[/tex]

What is the Rule of Exponents?

One of the rules of exponents is given as, [tex](xy)^m=(x^m)(y^m)[/tex].

Therefore, given:

(x9yz4)5

To find the equivalent expression, apply the rule of exponents as shown below:

[tex](x^9yz^4)^5=(x^{9*5})(y^5)(z^{4*5})[/tex]

[tex](x^9yz^4)^5=x^{45}y^5z^{20}[/tex]

Therefore, applying the rule of exponent, the equivalent expression is:

[tex]x^{45}y^{5}z^{20}[/tex]

Learn more about the rule of exponents on:

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Related Questions

Ilya builds a slide that is 2.9 meters long. It is 1.5 meters above the ground. He wants to determine the distance from the bottom of the slide to the base of the ladder leading up to the slide. Which diagram represents this situation?
A triangle with side length 1.5 meters and hypotenuse 2.9 meters.
A triangle with side length 2.9 meters and hypotenuse 1.5 meters.
A triangle with side length 2.9 meters and hypotenuse 2.9 meters.
A triangle with side length 1.5 meters and hypotenuse 2.9 meters.

Answers

Answer:

the first one

Step-by-step explanation:

Answer:Option A is correct. (light blue color in the triangle choices)

Select all the correct answers.

Which pay rates are common ways employers pay employees?

commission
daily pay
hourly pay
quarterly pay
salary

Answers

Answer:

The employers pay their employees based on hourly rates, commission and salary.

Step-by-step explanation:

The employees get their pay based on hourly rates that can range from a minimum hourly rate of say $12 per hour to any maximum figure like $40 per hour.

The final salary is based on the numbers of hours worked multiplied by the hourly rate.

Secondly, the pays are also commission based. That is your base salary plus the commission.

The salary is typical in management positions. These are not hourly based but a lump sum pay.

So, the correct answers are : commission, hourly pay and salary.

f f(x) = x³ - 2, find f(3)

Answers

Answer:

Simply substitute the value of 3 given. In other words, f(3) is the function of f(x) , however, in this case, x is 3. f(3)=3(3)−4.

If you divide any number by itself, what is the result? How can you apply this result to the expression in part D?

Answers

Answer:

1

Step-by-step explanation:

Any number divided by itself is always 1

A cereal box is shaped like a rectangular prism. The box is 20 cm long by 5 cm wide by 30 cm high. What is the surface area of the cereal box?

Answers

You have to find the area of each separate face of the box and then add them all up.
The front and back would be ; (length x height) x 2
So;
(20 x 30) x 2
= 1200 cm^2

Then calculate the area of the top and bottom of the box;
(Width x Length)
(5 x 20) x 2
= (100) x 2
= 200 cm ^2

And finally the sides of the box:
(Width x Height) x 2
(5 x 30) x 2
= 300 cm^2

Now add all of the individual areas up to find the total surface area of the cereal box:
1200 + 200 + 30
= 1700cm^2 in total

if the sum of the two consecutive odd number is 20 find the numbers
a​

Answers

Answer:

9 and 11

Step-by-step explanation:

let two numbers be X and X+2

so

x+X+2=20

solve for X

x=9

x=20

Answer:

11 + 9 = 20

Step-by-step explanation:

Consecutive odd nymbers are odd numbers that follow each other.

think which two consecutive odd number when added will give 20.

odd numbers = 1 3 5 7 9 11 13 15 17 19

9 follows 11 and when added will equal 20

Find the lateral surface area of the
cylinder 7mm 19mm. Round your answer to the nearest tenth

Answers

We can use the lateral surface area equation 2πrh. Assuming π = 3.14 we can plug all of the information into the equation to get 2 * 3.14 * 7 * 19.

multiplying everything you get 835.24, rounded to the nearest tenth is 835.2

Interval 0 to 10.5 f(x) dx = 9, interval 0 to 3.5 f(x) dx = 2, and interval 7 to 10.5 f(x) dx = 3, how do I find interval 3.5 to 7 (5f(x)-3) dx?

Answers

a. The value of the definite integral [tex]\int\limits^7_{3.5} {f(x)} \, dx = - 1[/tex]

b.  The value of the definite integral [tex]\int\limits^7_{3.5} (5{f(x)} - 3)\, dx = -18.5[/tex]

To answer the question, we need to know what definite integrals are.

What are definite integrals?

These are integrals which are evaluated between two values of the variable.

a. Integral of [tex]\int\limits^7_{3.5} {f(x)} \, dx[/tex]

[tex]\int\limits^7_{3.5} {f(x)} \, dx = - 1[/tex]

Given that [tex]\int\limits^{10.5}_0 {f(x)} \, dx = 9, \int\limits^{3.5}_0 {f(x)} \, dx = 7 and \int\limits^{10.5}_7 {f(x)} \, dx = 3[/tex]

We require  [tex]\int\limits^7_{3.5} {f(x)} \, dx[/tex]

So,  [tex]\int\limits^{10.5}_0 {f(x)} \, dx = \int\limits^{3.5}_0 {f(x)} \, dx + \int\limits^7_{3.5} {f(x)} \, dx + \int\limits^{10.5}_7 {f(x)} \,dx[/tex]

So,  [tex]\int\limits^7_{3.5} {f(x)} \, dx = \int\limits^{10.5}_0 {f(x)} \, dx - \int\limits^{3.5}_0 {f(x)} \, dx - \int\limits^{10.5}_7 {f(x)} \,dx[/tex]

Substituting the values of the variables into the equation, we have

So,  [tex]\int\limits^7_{3.5} {f(x)} \, dx = \int\limits^{10.5}_0 {f(x)} \, dx - \int\limits^{3.5}_0 {f(x)} \, dx - \int\limits^{10.5}_7 {f(x)} \,dx[/tex]

 [tex]\int\limits^7_{3.5} {f(x)} \, dx = 9 - 7 - 3\\\int\limits^7_{3.5} {f(x)} \, dx = 2 - 3\\\int\limits^7_{3.5} {f(x)} \, dx = - 1[/tex]

So, [tex]\int\limits^7_{3.5} {f(x)} \, dx = - 1[/tex]

b. Integral of [tex]\int\limits^7_{3.5} (5{f(x)} - 3)\, dx[/tex]

[tex]\int\limits^7_{3.5} (5{f(x)} - 3)\, dx = -18.5[/tex]

[tex]\int\limits^7_{3.5} (5{f(x)} - 3)\, dx = \int\limits^7_{3.5} 5{f(x)}\, dx - \int\limits^7_{3.5} 3\, dx\\\int\limits^7_{3.5} (5{f(x)} - 3)\, dx = 5\int\limits^7_{3.5} {f(x)}\, dx - 3(7.5 - 3)\\\int\limits^7_{3.5} (5{f(x)} - 3)\, dx= 5 X (-1 ) - 3 X 4.5 \\\int\limits^7_{3.5} (5{f(x)} - 3)\, dx= -5 - 13.5\\\int\limits^7_{3.5} (5{f(x)} - 3)\, dx = -18.5[/tex]

So,  [tex]\int\limits^7_{3.5} (5{f(x)} - 3)\, dx = -18.5[/tex]

Learn more about definite integrals here:

https://brainly.com/question/17074932

Help please! Thankyou

Answers

Answer:

Thus, option A is correct.

Explanation:

match the proportions

$240,000 → 60%x → 100%

set up a equation:

[tex]\sf \dfrac{60}{100} = \dfrac{240,000}{x}[/tex]

[tex]\sf x = \$400,000[/tex]

A bag contains 7 blue cards, 4 green cards, 6 red cards, and 8 yellow cards. You randomly choose a card. a. How many possible outcomes are there? There are possible outcomes. b. In how many ways can choosing a card that is not red occur? Choosing a card that is not red can occur in ways.

Answers

Answer:

Step-by-step explanation:

a. 4 outcomes as there are 4 different colours.

b. 3 ways - getting a blue green or yellow card.

if there is a 12 percent chance to get something and you need to get 90 of those things how many tries would it take?​

Answers

102 tries probably because 12 + 90 = 102

The intrest of 3 years on Rs.2400 is Rs 576. Find the rate of intrest...​

Answers

Answer:

The answer is 8%

Step-by-step explanation:

Given,

Principle=Ra.2400

Time=3 years

Simple Interest= Rs.576

Rate=?

Now,

Rate=100*Simple Interest%P*T

=100*576%2400*3

=57600%7200

=8%

Therefore, the rate of Interest is

8%

(can you give me BRAINLIEST)

Answer Assap need it quick a lot of points!!!!!


HELP ME OR ELSE…

Answers

Answer:

Length=12 Width=6   AREA=72 (I think)

Step-by-step explanation:

yea... I didnt know  wut the equation was so my small brain did it manually

This year, the sum of Mr Bellini’s age and his son’s age is 28 years. 4years ago, Mr Bellini was 5 times as old as his son
(A) How old is his son this year?
(B) How old is Mr Bellini this year?

Answers

Answer:

Let x = son's age

Let 38-x = Mr. Bellini's age (since the sum of their ages must be equal to 38)

Set up the equation using the second statement:

(38 - x) - 4 = 5(x - 4)

Solving,

34 - x = 5x - 20

34 + 20 = 6x

54 = 6x

x = 9 years old (son's age)

38-x = 29 years old (Bellini's age)

is 5.029 less than 5.128

Answers

yes

Step-by-step explanation:

After the point the first number of the first number is 0 while the second one is 1

help me find the area please. the examples in delta math arent helping.

Answers

Answer:

Answer 10,006

Step-by-step explanation:

We are Multiplying.

Answer:

157.78

Step-by-step explanation:

Solve each shape individually

For the square, we are given both side lengths so multiply them to find its area

9.8 x 8.7 = 85.26m

For the triangle on the right, we know the base and height lengths, so multiply them and divide by two to find the area

9.8 x 7.2 = 70.56 / 2 = 35.28m

For the triangle on the left, we can find the base by subtracting the side length of the square from the length given on the bottom

16.3 - 8.7 = 7.6

We know the height for this triangle so multiply that by the number you just found and divide by two to find the area

9.8 x 7.6 = 74.48 / 2 = 37.24m

Finally add all of the areas found together to get the total area of the trapezoid

37.24 + 35.28 + 85.26 = 157.78

Gen ALL in Learning Show Summary Text to Speech (on) Previous Next > 6 Line / is shown on the coordinate grid below. y Q1 Que A A 10 9 8 HNWAUOVO 04 Qu х 05 OL 0 1 2 3 4 5 6 7 8 9 10 wful to photocopy or project without permission QOQI Which ordered pair represents a point that is located above line 1? (5.8C | Lesson 10) Q7 Q F (0,7) G (6, 2) H (1,6) DO O O GA​

Answers

The ordered pairs of the points F, G and H are their locations on the coordinate plane

The point F is above the line 1

How to determine the coordinate point?

The ordered pairs of the points are given as:

F = (0,7)

G = (6, 2)

H = (1,6)

The line is not given; so, I will provide a general explanation.

Of all the three ordered pairs, the point with the greatest y-coordinate is the point F.

This means that the point F can be above the line 1, while the other points G and H are below the line.

See attachment for the illustration of the line and the ordered pairs

Read more about ordered pairs at:

https://brainly.com/question/1090891

Can someone please help me with this question? Thank you. No links!

Answers

Answer:

I CANT DO IT

Step-by-step explanation:

THE PICTURE IS BROKEN

Cam's tent (shown below) is a triangular prism.
2 m
2 m
1.7 m
3 m
AK
*
1 m 1 m
Find the surface area, including the floor, of his tent.

Answers

Answer:

The surface area of the tent is 21.4 m²

Step-by-step explanation:

To find the surface area of a prism you must calculate:

1. The perimeter of the base

2. The area of the base

3. The height of the prism

We have a triangular prism:

Its base is an equilateral triangle of side length 2 m and height 1.7 m

The height of the prism is 3 m

∵ The surface are of the prism is:

  S.A = perimeter of the base × height + 2 × area of the base

∵ The perimeter of the equilateral triangle = 3 × length of a side

∵ The length of the side = 2 m

∴ The perimeter of the base = 3 × 2 = 6 m

∵ The area of the triangle =  × base × height

∵ The length of the base of the triangle = 2 m

∵ The height of the triangle = 1.7 m

∴ The area of the base =  × 2 × 1.7 = 1.7 m²

∵ S.A = perimeter of the base × height + 2 × area of the base

∵ The perimeter of the base = 6 m

∵ The area of the base = 1.7 m²

∵ The height of the prism = 3 m

∴ S.A = 6 × 3 + 2 × 1.7

∴ S.A = 18 + 3.4

∴ S.A = 21.4 m²

The surface area of the tent is 21.4 m²

3
Find the midpoint M of the line segment joining the points C = (-1, 1) and D - - (5.-7).
M - OD
M =

Answers

Answer: (2,-3)

Step-by-step explanation:

Help please. It’s urgent. Right answer gets brainliest

Answers

Answer: Please check the image below.

can i have some quick help? this is in trinomial method

Answers

#1

2x²+x-6

ac=6(-2)=-12

2x²+4x-3x-62x(x+2)-3(x+2)(2x-3)(x+2)

#2

10a²+3a-110a²+5a-2a-15a(a+2)-1(a+2)(5a-1)(a+2)

#3

2c²+5c-12

ac=-24

2c²+8c-3c-122c(c+4)-3(c+4)(2c-3)(c+4)

Answer:

(a)  [tex](2x-3)(x+2)[/tex]

(b)  [tex](5a-1)(2a+1)[/tex]

(c)  [tex](2c-3)(c+4)[/tex]

Step-by-step explanation:

To factor a quadratic in the form [tex]ax^2+bx+c[/tex]

Find 2 two numbers that multiply to ac and sum to b.Rewrite b as the sum of these 2 numbers.Factorize the first two terms and the last two terms separately, then factor out the common term.

Part (a)

Given expression:  [tex]2x^2+x-6[/tex]

[tex]\implies ac=2 \cdot -6=-12[/tex]

Factors of -12 that sum to 1:  4 and -3

[tex]\implies 2x^2+4x-3x-6[/tex]

Factor first two terms and last two terms separately:

[tex]\implies 2x(x+2)-3(x+2)[/tex]

Factor out common term [tex](x+2)[/tex]:

[tex]\implies (2x-3)(x+2)[/tex]

Part (b)

Given expression: [tex]10a^2+3a-1[/tex]

[tex]\implies ac=10 \cdot -1=-10[/tex]

Factors of -10 that sum to 3:  5 and -2

[tex]\implies 10a^2+5a-2a-1[/tex]

Factor first two terms and last two terms separately:

[tex]\implies 5a(2a+1)-1(2a+1)[/tex]

Factor out common term [tex](2a+1)[/tex]:

[tex]\implies (5a-1)(2a+1)[/tex]

Part (c)

Given expression: [tex]2c^2+5c-12[/tex]

[tex]\implies ac=2 \cdot -12=-24[/tex]

Factors of -24 that sum to 5: 8 and -3

[tex]\implies 2c^2+8c-3c-12[/tex]

Factor first two terms and last two terms separately:

[tex]\implies 2c(c+4)-3(c+4)[/tex]

Factor out common term [tex](c+4)[/tex]:

[tex]\implies (2c-3)(c+4)[/tex]

does anyone know what the answer for this is??

Answers

Answer:

Part 1) 150

Part 2) 6

Step-by-step explanation:

Part 1) All you have to do is multiply 30 by 5, since 30 is only 20% of the number and you have to get to 100%

30×5 = 150

Part 2) There are multiple ways of doing this, but the way I did it is 30 divided by 100 so you have the number of each percentage. Then you multiply that number by 20 since you are trying to get 20%

30÷100 = 0.3

0.3×20 = 6

Please give brainliest if I helped!

Explain in a complete sentence on how you would find the area of a triangle when given the base and height

Answers

You first multiply base x height. Next, since it’s a triangle, you divide by 2 because a triangle is half of a square.


Your equation to solve is:

b(h)
——
2

-4y + 14 = 22

-6x + 5 = -1

Answers

Answer:

x = 1, y = -2

Step-by-step explanation:

The square of a negative number is 8 more than 2 times the negative number. Find the number. The number =

Answers

Answer:

the number = -23 because there are different ways to do this don't bother

Geometry. Please Help. Image is attached. Will give brainliest.

Answers

Answer:

D

To find the percentage we must first find the area of the circle:

We can find the radius of the circle using the distance formula

Now we calculate the area;

To get the percentage we divide the area of the circle by the square’s are and multiply by 100;

PLEASE ANSWER 30 POINTS!!!!!

Answers

Answer:

E. Point E

Step-by-step explanation:

First, you would move along the x-axis horizontally for 4½ units. Then, you move along the y-axis vertically for 5 units and land on point E.

I hope this helps.

What is the area of this 1/4 circle?

Answers

[tex] \frac{1}{4} \times \pi \times ({radius})^{2} = \\ [/tex]

[tex] \frac{1}{4} \times \pi \times {12}^{2} = \\ [/tex]

[tex] \frac{1}{4} \times \pi \times 144 = \\ [/tex]

[tex] \frac{144}{4} \pi = \\ [/tex]

[tex]36\pi[/tex]

Pleas answer this asap!!!

Answers

Answer: B

Step-by-step explanation:B because -3 + 5 is 2 and the line goes from -3 to 2

The answer is B
Because -3+5=2
Other Questions
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