Simplify This Expression 4x^2y^3 X 2x^3y^4 (2024)

Mathematics High School

Answers

Answer 1

Answer:

8 x^5 y^7

Step-by-step explanation:

Simplify the following:

4×2 x^2 y^3 x^3 y^4

Hint: | Combine products of like terms.

4 x^2 y^3×2 x^3 y^4 = 4 x^(2 + 3) y^(3 + 4)×2:

4×2 x^(2 + 3) y^(3 + 4)

Hint: | Evaluate 3 + 4.

3 + 4 = 7:

4×2 x^(2 + 3) y^7

Hint: | Evaluate 2 + 3.

2 + 3 = 5:

4×2 x^5 y^7

Hint: | Multiply 4 and 2 together.

4×2 = 8:

Answer: 8 x^5 y^7

Related Questions

A chair can be purchased in one of four colors: red, white, green, or blue. The number of chairs purchased in each color is listed below. Red: 150 white: 450 green: 225 blue: 375 Based on the information shown in the list, what is the probability that the next chair purchased will be red?

Answers

Answer:

[tex]P(Red) = 0.125[/tex]

Step-by-step explanation:

Given

[tex]Red: 150[/tex]

[tex]White: 450[/tex]

[tex]Green: 225[/tex]

[tex]Blue: 375[/tex]

Required

Determine the probability of getting a red chair, next.

First, we nee the total number of chairs

[tex]Total = 150 + 450 + 225 + 375[/tex]

[tex]Total = 1200[/tex]

Probability of getting red is then calculated as thus;

[tex]P(Red) = Red/Total[/tex]

[tex]P(Red) = 150/1200[/tex]

[tex]P(Red) = 0.125[/tex]

4(x^2-2x) +(x-1)(x^2+x+1)-x(x^2-4)

Answers

Answer:

4x^2−4x−1

if u need an explanation tell me

Answer:

4x² - 4x - 1

Step-by-step explanation:

Given

4(x² - 2x) + (x - 1)(x² + x + 1) - x(x² - 4) ← distribute all parenthesis

= 4x² - 8x +x ³ + x² + x - x² - x - 1 - x³ + 4x ← collect like terms

= 4x² - 4x - 1

lim x-V16-12
D
x4
Plz help

Answers

Answer:lim x- √16-x²=32

Step-by-step explanation:

[tex]x^{4}[/tex]-16

=(x²)²-4²

=(x²-4)(x²+4)

=(x²-2²)(x²+4)

=(x-2)(x+2)(x²+4)

So:

[tex]\frac{x^{4}-16 }{x-2}[/tex]=[tex]\frac{(x-2)(x+2)(x^{2}+4) }{(x-2)}[/tex]=(x+2)([tex]x^{2}[/tex]+4)

with exclusion:

x[tex]\neq[/tex]2

Hence:

lim [tex]\frac{x^{4}-16 }{x-2}[/tex]

x-2

((x+2)([tex]x^{2}[/tex]+4))=

((2)+2)((2)²+4)=4⋅8=32

A seat on a Ferris wheel is level with the center of the wheel. The diameter of the wheel is 200 feet. Suppose the
wheel rotates 60°, causing the height of the seat to decrease. How much closer to the ground is the seat after the
rotation?
O 50 feet
O 50 feet
O 100 feet
O 100v3 feet
Mark this and return
Save and Exit
Next
Submit

Answers

The required height of the seat from the ground is 100√3. Option D is correct.

A seat on a Ferris wheel is level with the center of the wheel. The diameter of the wheel is 200 feet. Suppose the wheel rotates 60°, causing the height of the seat to decrease. How much closer to the ground is the seat after the is to be determined.

What are trigonometric equations?

These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operation.

Diameter = 200
Radius = Diameter/2 = 100
Rotational angle = 60°
Let the height be h
tan60 = h/100
√3 = h/100
100√3 = h

Thus, the required height of the seat from the ground is 100√3. Option D is correct.

Learn more about trigonometry equations here:

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Answer:

50 √3 feet

Step-by-step explanation:

Correct on edge 2023.

(Question 1) Which mathematical property is shown by the statement?

If 43 = y, then y = 43.

A) transitive property

B) symmetric property

C) reflexive property

D) associative property of addition

(Question 2) Which mathematical property is shown by the statement?

(4y⋅9)⋅7=4y⋅(9⋅7)

associative property of addition

associative property of multiplication

commutative property of addition

commutative property of multiplication

(Question 3) Which statement is true for the set of natural numbers?

The set is closed under addition and closed under subtraction.

The set is not closed under addition and closed under subtraction.

The set is closed under addition and not closed under subtraction.

The set is not closed under addition and not closed under subtraction.

Answers

Answer:

1. symmetric property

2. associative property of multiplication

3. The set is closed under addition and not closed under subtraction

Step-by-step explanation:


Is 285 as a perfect square

Answers

Answer:

no

Step-by-step explanation:

the square root of 285 is not a whole number. 285 is not a perfect square.

Answer:

No , it is not a perfect square number of any numbers..

mark BRAINLIEST

Thank you ☺️☺️☺️

I need help with this problem

Answers

If you are simplifying the answer will be 9x^8/256

Four less than the product of eight and the number g is equal to ten more than g.

Answers

Answer:

g = 7

Step-by-step explanation:

Follow the attachment.

Solving four less than the product of eight and the number g is equal to ten more than g is equal t0 2.

Let the number be g.

To write the word sentence as an algebraic equation:

In this exercise, we are required to translate the word sentence into a mathematical (algebraic) expression and solve for the unknown variable (number):

Four less than the product of eight and the number g:

[tex]8g-4[/tex] ....equation 1.

Ten more than g:

[tex]g+10[/tex] ...equation 2.

Equating the two equations, we have:

[tex]8g-4=g+10\\\\8g-g=10+4\\\\7g=14\\\\g=\frac{14}{7}[/tex]

g = 2

Read more: https://brainly.com/question/22970937

find the greastest common factor of 10,30,and 45.​

Answers

The greatest common factor is 5 because they greatest number they can all be divided by is 5!

10/5 = 2
30/5 = 6
45/5 = 9

Answer: 5

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

Explanation:

Find the prime factorization of each value. A factor tree may help.

10 = 2*5

30 = 2*3*5

45 = 3*3*5

We see that '5' is found in each of the factorizations. This is the only factor that shows up in all three values, and it only shows up one time. So that's why 5 is the GCF.

HELP ME PLZZ I NEED HELP WITH THIS!!

Answers

I think that the answer would be A

I think the answer should be D. The evidence is relevant because it explains how video games change the body

Using the figure below, find the measure of z ( just enter in the number for your answer don’t worry about the degree symbol or saying “ degrees” after the number

Answers

Answer:

z = 29°

Step-by-step explanation:

We know that the 3 angles in a triangle always add up to 180°. So for triangle ABC, angle A = 59° (given), and angle B = 43° + 49° = 92° (given).

angle A + angle B + angle C = 180°

59° + 92° + z = 180°

151° + z = 180°

Subtract 151° from both sides of the equation

z = 180° -151°

z = 29°

What is 10,000 + 4,000 + 500 + 8 in standard form?

Answers

Answer:

Fourteen thousand five hundred eight

Step-by-step explanation:

Is it Zero or undefined?

Answers

Answer:

Step-by-step explanation:

When trying to solve this we have only y left over. if we only have the slope for y it is 0. if we only have the slope for x it is undefined.

Pls tell me if it is wrong

If it is I am sorry

Ben made some apple pies. For every 4 cups of butter, he added 3 cups of water. The ratio of butter to water in Ben’s apple pies is ____.

3 over 4
4 over 3
3
4

Answers

4:3 so B

hope this helps !!

Answer:

i think 3:4 dont take my word for it thoughn

Step-by-step explanation:

Which numbers are rational?
12
81, 50, -12, 0,
5
6.54

Answers

Answer:

All are rational

Step-by-step explanation:

A rational number is a number that can be written as a fraction.

I think the answer is -12

simplify using the order of operations. please show your math work step by step.

3. [2 + (12 - 2 . 4)] + 5

please help me

Answers

Answer:

23

Step-by-step explanation:

3 * [2 + (12 - 2 * 4)] + 5

~Multiply whats in parenthesis

3 * [2 + (12 - 8)] + 5

~Subtract whats in parenthesis

3 * [2 + (4)] + 5

~Add whats in brackets

3 * 6 + 5

~Multiply

18 + 5

~Add

23

Best of Luck!

Hallie participates in the freestyle event for the school swim team. The fastest she can swim is 25 meters in 22 seconds. At this rate, in how many minutes could she swim the 200 meter freestyle event?

Answers

Answer:

2 minutes 16 seconds

Step-by-step explanation:

200/25=8

8x22=176

In AHIJ, j = 98 cm, h = 38 cm and ZI=23°. Find the length of i, to the nearest
centimeter

Answers

Answer:65

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

PLEASE HELP QUICK!!! Find the value of x, when |x1 = 2 and x > 0.

Answers

Answer:

⁰00000000⁰. woeidj.edj

Answer:

2

Step-by-step explanation:

| x | = 2

| x | is absolute value of x, which may be +ve, or, -ve as well.

x can be 2, or - 2.

But here, we are given with x > 0. It means x is greater than 0, it cannot be -ve.

So, x = + 2 = 2

(ii) Write 4.31 x 10^3 as an ordinary number.​

Answers

The answer would be 4310

Answer: 4310

Step-by-step explanation: Because it is a positive exponent instead of negative, you would move the decimal to the right 3 places

There are 3 circles and 12 squares. What is the simplest ratio of circles to squares?

Answers

Answer:

1:4

Step-by-step explanation:

3 goes to 12 four times

How does national glory increase?​

Answers

It generates the feeling of patriotism and respect towards the nation. It also makes people responsible and answerable to the nation.

Alex has twice as much money as Jennifer. Jennifer has $6 less than Shannon. Together they have $54. How much money does each have?

Answers

Answer:

Alex has twice as much money as Jennifer.

a = 2j

Jennifer has $6 less than Shannon.

j = s-6

j+6 = s

All together the three friends have $54.

a + j + s = 54

Replace a and s

2j + j + (j+6) = 54

4j = 54 - 6

4j = 48

j = 48/4

j = 12

Jennifer has $12

Alex= 2*12 = $24

Shannon = 24+12+s = 54

= 36+s = 54

s = 18

Shannon has $18

Ty is right inches taller than his brother Reece if ty is 42 inches tall how tall is Reece. Write an equation using a variable r?

Answers

Mi llamos Bryson y tu ¿

Maria ran 4 7/8 miles on Monday she ran 2 and 3/8 miles on Friday how many miles to Maria run all together

Answers

Answer:

7 2/8

Step-by-step explanation:

evaluating expressions (4.6*10^9)+(1.7*10^7)

Answers

461.7 * 10^7

Or 4.617 * 10^9

f(x) = 4x^2 - 7x + 7 find f(7)

Answers

Answer:

ummmm what grade do you are

Answer:

f(7)=140

Step-by-step explanations:

Find the value of f(-3) if f(x) = -3x + 7

Answers

Answer:

f(-3) = -3(-3) + 7

= 9 + 7

= 16

Which statement could be used in step 2 when proving x =
30?
Statements
1. mZORP - 80°; mZORN-(3x+10)°
Reasons
1. given
no
- N در دل
O ZORP and ZORN are a linear pair
O ZORP and ZORN are vertical angles
O 80 = 3x +10
O x = 30

Answers

(a) ∠ORP and ∠ORN are a linear pair .

Let us prove that option a , is the correct option by finding the value of x .

Angle ORP and angle ORN are a linear , which means their sum will be equal to 180° .

So :-

[tex]80 + 3x + 10 = 180[/tex]

[tex]3x + 80 + 10 = 180[/tex]

[tex]3x + 90 = 180[/tex]

[tex]3x = 180 - 90[/tex]

[tex]3x = 90[/tex]

[tex]x = \frac{90}{3} [/tex]

[tex]x = 30°[/tex]

As we were able to find put the value of x only after we cam to know that ∠ORP and ∠ORN are a linear pair , we say that option a is the correct statement .

Therefore , the correct answer is :-

(a) ∠ORP and ∠ORN are a linear pair .

The value of x is equal to 30°. Hence, proved.

What are angles at a point on a straight line?

Angles on a straight line relate to the sum of angles that can be arranged together so that they form a straight line. Angles on a straight line add to 180°.

Given that, m∠ORP=80° and m∠ORN=(3x+10)°.

Here, m∠ORP+m∠ORN=180° (Angles on straight line adds upto 180°)

80°+(3x+10)°=180°

90°+3x=180°

3x=90°

x=90°/3

x=30°

Hence, proved.

Learn more about the angles at a point on a straight line here:

https://brainly.com/question/28109229.

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Jamila is walking her small dog for a walk around her neighborhood. They travel 3/5 They travel 3/5of a mile in 40 minutes. Determine the unit rate they walk in minutes per hour.

Answers

Answer:

unit rate = 0.9 miles per hour

Step-by-step explanation:

Rate per hour of walking is calculate by = distance moved in miles/ time taken in miles

_________________________

given

distance = 3/5 of a mile = 3/5 miles

time = 40 minutes

we have to find time in hours

60 minutes = 1 hour

40 minutes = 1/60 *40 hours = 2/3 hours

thus

unit rate = (3/5 miles)/ (2/3 hours ) = (3*3)miles/(5*2) hour = 9/10 miles per hour

unit rate = 0.9 miles per hour

Simplify This Expression 4x^2y^3 X 2x^3y^4 (2024)

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