Which expression is equivalent to 4x^2Sqrt5x^4 • 3sqrt5x^8, if x ≠ 0?
A) 12x^10sqrt5
B) 60x^8
C) 35x^18
D) 7x^10sqrt5

Answers

Answer 1

the equivalent expression is:

60*x^8

Which is option B.

How to get the equivalent expression?

Here we start with:

4*x^2*√(5x^4)*3*√(5x^8)

Remember that square roots are distributive, then we can just write:

(4*3)*(x^2)*(√(5x^4)*√(5x^8))

12*x^2*√(25x^12)

Now, the square root can now be solved

12*x^2*√(25x^12) = 12*x^2*5*x^6

= (12*6)*(x^2*x^6)

Remember that in the right side, the exponents just add, then we get:

(12*6)*(x^2*x^6) = 60*x^{2 + 6} = 60*x^8

Then the equivalent expression is:

60*x^8

Which is option B.

If you want to learn more about equivalent expressions:

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Related Questions

n the pictured triangle, ∠A is 81 degrees and ∠B is 67 degrees. If side a is 34 units long, approximately how long is side b?

Answers

Step-by-step explanation:

can u also attach the pictured triangle so we can know it exactly

The earth's crust is:
1.broken into several plates
2.floating on top of the mantle
3.made of granite and basalt
4.all of the above

Answers

Answer:

Well ummmmm 1

Step-by-step explanation:

Answer:

All of the above because we know that the earths crust is above the mantle AND that there are several plates, and I read in an article that the earth is made of basalt and granite

I also got this right on a test in odsseyware:-)

Step-by-step explanation:

evaluate −5x+8 when x=3.

Answers

Answer:

-7

Step-by-step explanation:

-5(3) +8

-15+8

7

Answer:

plug x in

-5 (3) + 8

-15 + 8

-7

Step-by-step explanation:

Helps me solve this problem please

Answers

Answer:

I think it would be -2 or h(x)=-2

Step-by-step explanation:

because if x=3 then that would be 5 x 3 and that would be 15 so 15-17=-2

hope this helps if not sorry!! :)

Construct a line through R that is perpendicular to the line​

Answers

Answer: just did it 3 secs. ago

Step-by-step explanation:

The answer is shown below.

Perpendicular:In simple geometry, two geometric objects cross at a right angle ( [tex]90^{0}[/tex]degrees or [tex]\frac{\pi }{2}[/tex] radians ) if they are perpendicular to one another.If two lines cross at a right angle, they are said to be perpendicular to one another. A first line is explicitly said to be perpendicular to a second line if the two lines meet and the straight angle on one side of the first line is cut by the second line into two congruent angles at the point of junction.

Therefore, the Construction of a line through R that is perpendicular to the line is shown below:

Know more about perpendicular lines here:

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A line has a slope of
1/4
and passes through the point (0.2,
4/5


Find the value of b, the y-intercept.


b = ???

Answers

Answer:

b = 3/4

Step-by-step explanation:

Using point slope: y - y1 = m(x - x1).

Substitute your given slope, given point, and subsitute 0 in for x and solve for y since the y intercept is the y value when x = 0.

0.2 = 1/5, so 1/5 * 1/4 = 1/20

Therefore: y - 4/5 = 1/4(0 - 0.2) → y - 4/5 = -1/20 → y = 4/5 - 1/20 → 15/20 → 3/4

b = 3/4

Using point slope: y - y1 = m(x - x1).

Substitute your given slope, given point, and subsitute 0 in for x and solve for y since the y intercept is the y value when x = 0.

0.2 = 1/5, so 1/5 * 1/4 = 1/20

Therefore: y - 4/5 = 1/4(0 - 0.2) → y - 4/5 = -1/20 → y = 4/5 - 1/20 → 15/20 → 3/4

A father receives a postcard from his son who is
away at college. It simply reads
SEND
MORE
MONEY
The father is slightly upset that this is all his son
wrote but noticed something interesting. If each
letter is replaced with a single and unique digit, it
would make a true addition statement. The father
replies that he would send money if his son could
figure out what digit each letter would represent.

Answers

Answer:

S = 9, E = 5, N = 6, D = 7, M = 1, O = 0, R = 8, Y = 2

Step-by-step explanation:

The given letters are;

SEND

MORE

MONEY

If we are to add the first two words to get the third word, then we have;

SEND + MORE = MONEY

Where, the letters are unique digits

The maximum value of M = 1, because, the two words are in thousands and their sum is in tens of thousands, they can make up to only a 10

Therefore, S = 9

O = 0

D + E = 10 + Y

1 + N + R = 10 + E

1 + E  = N

∴ 1 + N + R = 10 + E gives;

1 + 1 + E + R = 10 + E

R = 10 + E - (1 + 1 + E) = 8

R = 8

We have;

9 XXX + 108X = 10XXX

From 1 + N + R = 10 + E, we have;

1 + N + 8 = 10 + E

END + RE = NEY

E(1 + E)D + 8E = (1 + E)EY

(1 + E)EY - E(1 + E)D = 8E

10 + Y - D = E

By trial and error, we have;

If Y = 2 and D = 3, we have E = 9 which is not unique

Y = 4 and D = 3, we have E = 11 which is a double digit

Y = 2 and D = 7, we have E = 5

∴ N = 6 which is unique

Trying the combination gives;

S = 9, E = 5, N = 6, D = 7, M = 1, O = 0, R = 8, Y = 2

SEND + MORE = MONEY → 9567 + 1085 = 10652 which is correct.

3(2x+4)=-18
What is x and how do you solve

Answers

Answer:

x=1

Step-by-step explanation:

divide by 3 and then -4 and then divide by 2

Given the function g(x)=x^2+3 ,evaluate (-2,y)

Answers

Answer:

im not sure if this is what you're looking for but g=x^4 and the y intercept is g(0)=0

Step-by-step explanation:

Which equations are equivalent

Answers

Answer:

Step-by-step explanation:

wheres the picture?

help me please!!!!!!!!!!!!!!!!!​

Answers

im not for sure but Step-by-step explanation: 3,000=102938884.00919377299

Answer:

3,000=102938884.00919377299

Step-by-step explanation:

Whats 2+2 tho
Cuz i uh forgot..yea

Answers

Answer:

I gotchu fam ..... 2+2=4

POLYNOMIALS QUESTION!!!

Answers

Answer:

The new area of the smaller rectangle is 16 - x² units²

Step-by-step explanation:

The dimensions of the small rectangles are 2 + x and 2 - x

∵ The length of the small rectangle is 2 + x units

∵ The length is adding by 2 units

The new length = 2 + x + 2 = 4 + x units

∵ The width of the small rectangle is 2 - x units

∵ The width is adding by 2 units

The new width = 2 - x + 2 = 4 - x units

Area of the rectangle = length × width

∴ The new area of the smaller rectangle = (4 + x) × (4 - x)

→ Simplify it by multiplying the 2 brackets

∵ (4 + x)(4 - x) = (4)(4) + (4)(-x) + (x)(4) + x(-x)

∴ (4 + x)(4 - x) = 16 + (-4x) + 4x + (-x²)

→ Remember (+)(-) = (-)

∴ (4 + x)(4 - x) = 16 - 4x + 4x - x²

→ Add the like terms

(4 + x)(4 - x) = 16 - x²

The new area of the smaller rectangle is 16 - x² units²

look at the picture &’ help.

Answers

Step-by-step explanation:

the first option is the answer because the exponent always stands base 10 power a value or (10^n)

What is the measure
of ZA, in degrees?
20

Answers

The answer is 60 degrees

In eight minutes josh was able to type 496 words what’s he typing speed per minute

Answers

Answer: 62 words per minute.

Step-by-step explanation: 496/8=62.

Answer:

62 words per minute

Step-by-step explanation:

divide 496 and 8

which form most quickly reveals the vertex?
choose 1 answer:
a. g(x)=-2x^2-16x-14
b. g(x)=-2(x+4)^2+18
c. g(x)=-2(x+1)(x+7)

what is the vertex?
vertext= (___,___)

Answers

Answer:

The most quickly reveals the vertex is g(x) = -2(x + 4)² + 18 ⇒ b

The vertex = (-4, 18)

Step-by-step explanation:

The vertex form of the quadratic function f(x) is:

f(x) = a(x - h)² + k, where

a is the coefficient of x²(h, k) are the coordinates of the vertex point

The most quickly reveals to find the vertex is the vertex form above

Look at the answer and try to find a similar form to the vertex form above

∵ g(x) = -2(x + 4)² + 18

∴ a = -2

∴ h = -4

∴ k = 18

⇒ That means this form is similar to the form above

The most quickly reveals the vertex is g(x) = -2(x + 4)² + 18

The vertex = (-4, 18)

Given the following function, find f(-2), f(0), and f(1).
f(x) = 5x +5

f(-2) =

Answers

F(-2)=-2f done hiiiiiiiiiiiiiiiiiiiiii

Answer:

f(-2) = -5

f(0) = 5

f(1) = 10

Step-by-step explanation:

f(-2) = 5(-2) + 5 → -10 + 5 = -5

f(0) = 5(0) + 5 → 0 + 5 = 5

f(1) = 5(1) + 5 → 5 + 5 = 10

Samuel can type nearly 40 words per minute. Use this information to find the number of hours it would take him to type 2.2 × 105 words.

Answers

I believe the answer is .09625 hours

Explanation: first you do 2.2 x 105= 231
Then you do 231/40=5.775 to get how many minutes it takes to type 231 words. Then u divide 5.775/60 to get how many hours it would take.

HELP PLSSSSSSSSS I BEG U

Mark starts a rock climb when he is 1 mile above sea level. He can climb at the rate of 1.5 miles per hour. Which of the following functions would express Mark's height above sea level over time?
A. f( x) = 1.5 x
B. f( x) = 2.5 x
C. f( x) = 1 + 1.5 x

Answers

Answer:

C.

Step-by-step explanation:

Its C because you start out at 1 mile above sea level, then each time Mark climbs he goes up 1.5 miles per hour. f(x)= 1(starting point) + 1.15x (miles per hour).

It would be C because the 1.5x represents the miles per hour since that changes and you would add 1 because he is 1 mile above sea level

Write the function using (x, y) when moving right 7 and down 9.
Your answer

Answers

Answer:

7,-9

Step-by-step explanation:

move 7 right from 0 and -9 down from 0

by combining like terms
4x2 - 3x + 11 -2x

Answers

Answer:

-5x +19

Step-by-step explanation:

That's the answer

Group like terms first
-3x-2x 4x2+11
-5x 8+11
-5x+19

You are given a rectangular sheet of metal that is 32 inches by 24 inches. You are required to cut a lenght from each corner of the sheet so that you may fold up the ends and create a box. What is the domain of the function you will use to find the volume of the box? Explain your answer.

Answers

Answer: 768

Explanation In order to find the domain you have to multiple 32 by 24 which gives you 768.

You only have nickels and dimes in your piggy account. The total comes to 595 cents. What are the three combinations of nickels and dimes you could have?

Answers

Answer:

59 dimes and 1 nickel

54 dimes and 11 nickels

1 dime and 117 nickels

Step-by-step explanation:

i know this from using the equation [tex]5n+10d=595[/tex] the n is nickels and the d is dimes

Simplify by factoring out the gcf only answer if you’re sure about the awnser ;)

Answers

Answer:

−3⋅(7n+1)

Step-by-step explanation:

The gcf is 3

Jeremiah dad Ordered five large pepperoni pizzas in each large cheese pizzas for the birthday party he spent a total of 144 on pizza if a pepperoni pizza cost 12 right and solve a linear equation to find the cost of a cheese pizza

Answers

This question is incomplete because part of the information is missing; here is the complete question:

Jeremiah's dad ordered 5 large pepperoni pizzas and 8 large cheese pizzas for the birthday party. He spent a total of $144 on pizza. If a pepperoni pizza costs $12, write and solve a linear equation to find the cost of a cheese pizza.

The answer to this question is $10.50

Explanation:

The first step to solve this problem is to write a linear equation. In this, the unknown should be represented by an x, and other variables should be included using correct mathematical symbols. Here is the process:

1. In an equation there is always an equality symbol = and mathematical expressions on both sides.

2. In this situation, the value after the = symbol should be 144 or the total spend on pizzas.

3. The values missing should be expressed as 5 (12) + 8x because there are 5 pepperoni pizzas and each of these costs $12; also, this should be added to the 8 cheese pizza and x represents the missing value (the price of a cheese pizza.)

4. Solve the equation

5 (12) + 8x = 144 -Simplify using multiplication

60 + 8x = 144 - Solve by moving the number to the right side and changing the symbol

8x = 144 - 60

8x = 84

x = 84 ÷ 8

x = 10.5

I need help pls!!! Eeeeeek

Answers

Answer:

first

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

HELP PLS HOW DO U DO THIS

Answers

Answer:

10

Step-by-step explanation:

1/3 of 24 is 8, and 1/4 is 6. 8+6=14, and 24-14=10. So I think that 10 people brought chips.

Answer:

10

Step-by-step explanation:

24 ÷ 3 = 8 so one third is 8

24 ÷ 4 = 6 so one fourth is 6

8 + 6 = 14 (14 people brought drinks or dessert)

24 - 14 = 10

ten people brought chips.

A football team scored a total of 41 points in a Sunday game. They scored 7 points in the first quarter, 10 points in the second quarter, and 7 points in the third quarter. How many points did the team score in the fourth quarter?

Answers

41 - 7 - 10 - 7 = 41 - 24 = 17.

The team scored 17 points in the last quarter.

can someone help me!!!​

Answers

Answer:

x=81

Step-by-step explanation:

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