Simplify completely. …..

Simplify Completely. ..

Answers

Answer 1

By simplifying [tex]\sqrt{75a^{8}b^{5} }[/tex], we get 5[tex]a^{4} b^{2}[/tex][tex]\sqrt{3b}[/tex].

What is square root?

A number can be obtained by multiplying the square root of that integer by itself. The word "square root" is represented by the symbol "sqrt"—square root of, end square root. The opposite of squaring an integer is finding its square root.

How to find square root?

Factoring by squares: Find the factorsSeparate the factors into their own square rootsSolve for the individual squaresFinish solving the equationLong-form factoring:Find the factorsPull duplicate factors outSolve the remaining equationLong division method:Separate your square root base into pairsFind the largest square that divides into the first number or pairSubtract the square from the first number or pairDrop down the next pairMultiply the first digit of the square by twoSet up the next factor equationFind the number that fills the blanksPut the number next to the first digit

[tex]\sqrt{75a^{8}b^{5} } =\sqrt{25*3*a^{4}*a^{4}* b^{2} *b^{2}*b }[/tex]

             =[tex]\sqrt{5*5*3*a^{2}*a^{2}*a^{2}*a^{2}*b^{2}*b^{2}*b }[/tex]

             =5×a×a×a×a×b×b[tex]\sqrt{3*b}[/tex]

             =5[tex]a^{4}b^{2}[/tex][tex]\sqrt{3b}[/tex]

To know moe about square root:

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Related Questions

Write an expression showing the sum of a number H and a number W minus 11​

Answers

Answer:

h+w-11

Step-by-step explanation:

Answer:

H+W-11

Step-by-step explanation:

If the rectangular screen of a 40-inch monitor is 35 inches wide, what is the height of the monitor? Round to the nearest tenth.

Answers

Answer:

19.4

Step-by-step explanation:

We can solve this question using Pythagorean theorem

40^2 = h^2 + 35^2

1600= h^2+ 1225

1600-1225= h^2

375= h^2

h= √375

h = 19.4

Hence the height is 19.4

2. What is the value of x?

Answers

Answer:

x = 5

Step-by-step explanation:

The total degrees in a 4 sided polygon is 360°

360° = 51° + 51° + 2(28x - 11°)

56x - 22° + 51° + 51° = 360°

56x = 280°

x = 5

In this problem a,b,c and d are nonzero integers. If a/b is added to x, the sum is c/d. Which statement can be used to prove that x must be a rational number.

A= x=cb-ad/bd B= x=cb+ad/bd C= x=c-a/d-b D= x= c+a/d-b

Answers

Answer:

x=cb-ad/bd

Step-by-step explanation:

The statement which can be used to prove that x must be a rational number is x = (cb - ad) / bd

Prove of rational number

Given nonzero integers:

a, b, c, d

If a/b is added to x

a/b + x

the sum is c/d

a/b + x = c/d

prove x to be a rational number

a/b + x = c/d

subtract a/b from both sides

a/b + x - a/b = c/d - a/b

x = c/d - a/b

x = (cb - ad) / bd

Therefore, the statement which can be used to prove that x must be a rational number is x = (cb - ad) / bd

Learn more about rational number:

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(2r^2t ^3)^2
4t^2
explain what you would do first to simplify the expression below.

Answers

Answer:

first expand the brackets

questions 13 & 14 FAST PLS ITS A TEST! WILL GIVE BRAINLIEST!

Answers

13: answer is x= —4
14: answer is x= 1/3, x= 2

pls help me with this!

show this standard form equation in a graph

5x+y=-2​

Answers

Answer:

Step-by-step explanation:

One way to do this is to find the x- and y-intercepts and to plot these:

x-intercept:  Let y = 0:  5x = -2, or x = -2/5, so the x-intercept is (-2/5, 0).  Plot this point.

y -intercept:  Let x = 0:  y = -2, so the y-intercept is (0, -2).  Plot this point.

Finally, draw a line through these two points.

Well there are 5 questions
Please help
Will give brainliest

Answers

Answer:

1. 30

2. x = 0

3. x = 10

4. 11.7

5. 60

Step-by-step explanation:

A local drive-in theatre sells entrance tickets for cars on weekend nights. At capacity, the drive-in can hold 72 cars. The function C(n) =25n represents the drive in's revenue on a weekend night, where n represents the number of cars. in this situation, what is the domain of c(n)?

Answers

Answer:

Domain is: 0 ≤ n ≤ 75 where n is an integer

Step-by-step explanation:

can i get some help please i would really appreciate it ;)

Answers

A. They go on forever

please help, no links, will give brainiest

Answers

Answer:

? = 20

Step-by-step explanation:

Since the figures are similar then the ratio of corresponding sides are equal, that is

[tex]\frac{12}{15}[/tex] = [tex]\frac{?}{25}[/tex] ( cross- multiply )

15 ? = 300 ( divide both sides by 15 )

? = 20

In circle P shown, the measure of angle P Q S is 20°.

Answers

Answer:

D 70

Step-by-step explanation:

Hello there!

A triangle formed inside of a circle using the diameter ( segment RQ ) is a right triangle

Meaning that the angle across from the hypotenuse ( diameter ) is a right angle ( = 90 degrees )

That being said we are given two angles (90 and 20 ) so we can easily calculate the measure of the missing angle

Remember the sum of the angles in a triangle is equal to 180 so we can find the missing angles by subtracting the given angles ( 90 and 20 in this case ) from 180

angle PRS = 180 - 90 - 20

180 - 90 = 90

90 - 20 = 70

Therefore your answer is D. 70

Find the value of x.
Assume that segments that appear to be tangent are tangent.

Answers

Don't open it, it is a virus.

What is the range of possible values for x?

Answers

Answer:

Choice A) 0 < x < 18

Step-by-step explanation:

10x = 6x + 20

subtract

4x = 20

solve for x

x = 5

Just the first four please 5th grade mathematics

Answers

I believe I have the answers :)

Question 1. <, >, >
Question 2. <, <, >
Question 3. >
Question 4. <

I hope this helps :)
If this is right please give me a like, if I’m wrong please tell me in the comments

Suppose 80 out of 400 cat owners surveyed said their cats have bad breath. What percent of the cat owners is this?

Answers

??? The link isn’t working for me :\

What is the difference of (3/4x - 2/3) - (-5/6 + 2x) ?

-5/4x + 1/6
-5/4x - 1/6
-11/4x + 1/6
-11/4x - 1/6​

Answers

Answer:

first option is correct

look at given picture

GIVING BRAINLIEST

Study the function below and then answer the
questions that follow.
f(x)=
-x-2 x<-2 -x^2 -2=0

Answers

Answer:

Step-by-step explanation:

Answer:

B then A

Step-by-step explanation:

Domain is B, range is A.

Please help me with this question!

Answers

Answer:

9 plates and mugs

He could buy 9.375

but you cant buy a portion of a plate so you buy 9

The following data table represents the total cost of a monthly cell phone bill as a function of the number of minutes that the phone is used each month.

The table shows that as more minutes are used each month, the total monthly cost will increase at the same rate. Assuming that this is true, what is the total monthly cost for the cell phone if it is used for 2,500 minutes?

Answers

Answer:
The total monthly cost would be $214

explanation:
They gave us 1,250, which is half of 2,500. multiplication:
1,250 = 2,500
107 = x
2 × 1,250 = 2,500
2 × 107 = 214
Therefore, the total monthly cost if the cell phone is used for 2,500 minutes is $214.

Ursula picks carrots and radishes from her garden. She picks 4/1/4 pounds of carrots and 1/3/4 pounds of radishes.How many more pounds of carrots does she pick than radishes.

Answers

Answer:

2 1/4

Step-by-step explanation:

[tex]4\frac{1}{4} - 1\frac{3}{4}[/tex]

[tex]3\frac{1 - 3}{4}[/tex]

[tex]2\frac{4-3}{4}[/tex] = 21/4

What is the equation of the line that passes through the point (4, 6) and is parallel to the line 2y - 4x = 1?
Select one:
O A. y = - 2x - 2
O B. y = 2x + 2
O C. y = x - 2
O D. y = 2x - 2

Answers

Answer:

D. y = 2x - 2

Step-by-step explanation:

1) First, find the slope of the given line. Place it in slope-intercept form to identify its slope easily. Isolate the y in the equation:

[tex]2y-4x = 1\\2y = 4x+1\\y = 2x+\frac{1}{2}[/tex]

A line placed in slope-intercept form is represented by the formula [tex]y = mx + b[/tex]. The [tex]m[/tex], or the coefficient of the x-term, represents the slope. Thus, the slope of this line is 2.

2) Lines that are parallel share the same slope. So, the slope of the parallel line will have 2 as its slope as well.

We now have enough information to write the equation of the line in point-slope form. From there, we can convert it to slope-intercept form and find out which option is correct.

Use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] and substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex]. Since [tex]m[/tex] represents the slope of the line, substitute 2 in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects, substitute the x and y values of (4,6) into the formula as well. Then, with the resulting equation, isolate y like before to find which option is correct:

[tex]y-6 = 2(x-4)\\y-6 = 2x-8\\y = 2x-2[/tex]

So, option D is correct.  

May someone please help me with this:)

Answers

Answer:

i think its 64

Step-by-step explanation:

Volume of a cylinder is V=pi(r)2h

Radius =2.
Height =4.
Pi=3.14.

V= 3.14(2)2(4).

Volume = 50 .24 cm^2

Luke and isabella make scale drawings.The scale from isabella's drawing is 6 m to 3 cm. The height of the fountain in isabella's drawing is 5 cm.The scale from the fountain to luke's drawing is 5m to 2cm. What is the height of the fountain in luke's drawing

Answers

Answer:

The answer is "[tex]2.5 \ cm[/tex]"

Step-by-step explanation:

While Luke is 5m to 2cm in size, it implies that every 2cm to Luke's drawing is 5m in real life. That real pond width must therefore be 5 m, given the fountain's width is 2 cm. As shown in the illustration, the step size for IsabelLa from the illustration to real life is [tex]\frac{6}{3} =2[/tex], which makes it simple to multiply any measure in the cm of her illustration by 2 to accomplish the exact size in m. So, in another direction around, they just have to divide the value by 2, instead of the divide from reality for drawing. So if the actual worth is 5m, it ought to be [tex]\frac{5}{2} = 2.5 \ cm[/tex] in its width.

Solve for x in the picture below

Answers

Answer:

x = 16

Step-by-step explanation:

The sum of the exterior angles of a triangle = 360°

Sum the exterior angles and equate to 360

5x + 12 + 10x - 37 + 9x + 1 = 360 , that is

24x - 24 = 360 ( add 24 to both sides )

24x = 384 ( divide both sides by 24 )

x = 16

Answer:

x = 15

Step-by-step explanation:

The sum of angles in a triangle is 180deg.

Let's mark the measures of the internal angles as A, B and C.

We know that

A + B + C = 180deg

180deg - A + 180deg - B + 180deg - C = (9x + 1)deg + (5x + 12)deg + (10x - 37)deg

3*180deg - (A + B + C) = (24x - 24)deg

540deg - 180deg = (24x - 24)deg

360deg = (24x - 24)deg

360 = 24x - 24

384 = 24x

15 = x

Supplementary angles always add up to 180 degrees. TRUE OR FALSE

Answers

Answer:

yes this is true.

Supplementary angles always add up to 180°.

Answer:

True

Supplementary angles always add up to 180°

The two triangles below are similar. What is the similarity ratio of AABC to ADEF?

Answers

Answer:

2 : 1

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

AC : DF = 8 : 4 = 2 : 1


Write 2 19/20as a decimal.
20
X

Answers

Answer:

2.95

Step-by-step explanation:

edge 2020

p.s. pls mark brainliest, and have a good day! :)

HELP FAST giving 5 stars

Answers

Answer:

The red is 1/3 and yellow is 1/4

Step-by-step explanation:

there are 3 colors and 1 of them is red so 1/3 same goes to the yellow 4 colors and  is 1 yellow so 1/4

PLEASE ANSWER!!!

A. 4x+2=70+35

B. 4x+72=180

C.180=4x+107

D. 180=109x+2

Answers

Answer:

c

Step-by-step explanation:

its c , absolutely.............

Answer:

C * 180 = 4x + 107

Step-by-step explanation:If you add all sides by each other all you would do next is add the 4x to get your 180

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