Simply the following: [tex]-3\sqrt{50a^{2} b^{2} }[/tex]

Answers

Answer 1

Given:

The expression  is

[tex]-3\sqrt{50a^2b^2}[/tex]

To find:

The simplified form of the given expression.

Solution:

We have,

[tex]-3\sqrt{50a^2b^2}[/tex]

It can be written as

[tex]=-3\sqrt{2\times 25a^2b^2}[/tex]

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

Using the properties of radical and logarithm, we get

[tex]=-3\sqrt{2\times (5ab)^2}[/tex]        [tex][\because (mn)^x=m^xn^x][/tex]

[tex]=-3\sqrt{2}\times \sqrt{(5ab)^2}[/tex]               [tex][\because \sqrt{mn}=\sqrt{m}\sqrt{n}][/tex]

[tex]=-3\sqrt{2}\times 5ab[/tex]

[tex]=-15\sqrt{2}ab[/tex]

Therefore the simplified form of the given expression is [tex]-15\sqrt{2}ab[/tex].


Related Questions

585 divided by 5 is?

Answers

Use a calculator it’s 117

Emerson struck out 112 times in 350 at bats complete the proportion to represent the percent of strike outs per at bats

Answers

Answer:

Percent of strike outs per-bat = 32%

Step-by-step explanation:

Given:

Number of balls strike out = 112

Total number of ball played = 350

Find:

Percent of strike outs per-bat

Computation:

Percent of strike outs per-bat = [112/350]100

Percent of strike outs per-bat = [0.32]100

Percent of strike outs per-bat = 32%

help please i will give you brainliest if you actually help me

Answers

it is 575 !!!!!!!!!!!!

Hi.Please please help me I really really need help please help me I really need help answer it correctly please

Answers

Answer:

bottom right corner

Step-by-step explanation:

5x - 7
3x + 1
11x – 4
❤️13 each❤️✌pls and ty

Answers

here you go i think this is what you asked for

A biker travels 10 miles in two hours, what is his speed?

Answers

Answer:

5 mph

Step-by-step explanation:

10/2 is 5 miles in one hour.

Answer:

5mph

Step-by-step explanation:

10/2

Is this a rational or irrational number

Answers

Answer:

Irrational.

Step-by-step explanation:

∛30 cannot be written as a fraction.

1.) What is the reciprocal of 3 2/5

Answers

Convert this into an improper fraction, we get: 17/5. The reciprocal is 5/17

Answer:

17/5

Step-by-step explanation:

3 + 2/5 = (3*5+2)/5


What is the measure of 1?
A. 15
B. 35
С. 37
D. 79

Answers

Answer:

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

I am not sure about it, but maybe 15.

<1 = (2x + 5) and <2 = (3x - 10)

<1 = (2 × 15 + 5 ) and <2 = (3 × 15 - 10)

<1 = (30 + 5) and <2 = (45 - 10)

<1 = 35 and <2 = 35

Hope this helps, thank you !!

The average of Aaron's three test scores must be at least
93 to earn an A in the class. Aaron scored 89 on the first
test and 94 on the second test. What scores can Aaron
get on his third test to guarantee an A in the class? (The
highest possible score is 100.)

Answers

Answer:

96

Step-by-step explanation:

help asap i will brainlist

Answers

Answer:

8-3n

The way you know is 8 is the hidden word....

in there and it say 3 times   nathans...

So you will take n and times it bye 3..

by doing 3n so 8-3n is your anwser...

Pwease Mark me Brainliest TY OwO

Please explain how you got your answer.
Solve for c.
ab + c = 5

c = 5/ab
c = 5 + ab
c = 5 - ab

Answers

Answer:

c= 5-ab

Step-by-step explanation:

Ive done this answer

ou just purchased a brand new car for $45,000. The car depreciates by about 7% each year.



Which expression shows the value of the car in x years.


y=45,000(0.93)xy is equal to 45 comma 000 times 0 point 9 3 to the x th power

y=45,000(0.97)xy is equal to 45 comma 000 times 0 point 9 7 to the x th power

y=45,000(1.07)^xy=45,000( 1.0 7^x)

y=45,000(1.7)^x

Answers

Each year the car depreciates at a rate of 7% per year. Each year the car will depreciate by the amount of $3,150per/year.
3150(#of years) would give you the the amount if the cars worth in that time spand

please help asap!!!!!!!!!!!!

Answers

7853.98mm

Step-by-step explanation:

Circumference is pi times diameter so the diameter is 100 millimeters

Diameter is 2 times the radius so the radius is 50 millimeters

Area is pi times the radius squared so the area is about 7853.98 millimeters squared

Answer:

A = 795.77

Step-by-step explanation:

Using the formulas

A=πr2

C=2πr

Solving forA

A=C2

4π=1002

4·π≈795.77472

170 in ratio of 9:8 sorry I’m not to good at math

Answers

Answer:

if 170 is subbed for 9, then the answer is 151.111111111(continued) and if its in the 8, then the answer is 191.25

Step-by-step explanation:

hope this helps

What is the linear function equation represented by the graph?
please hurrrrrryyyy!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

f(x)=

Answers

Answer:

f

f(x) =-3/4x +2

Step-by-step explanation:

You have points (0,2) and (-4,5) Soo the slope is 5-2/-4-0 = 3/-4

Then f(x) = mx+b. So f(x) = -3/4x + 2 because the y intercept is (0,2).

Answer:

f(x)= -x+2

Step-by-step explanation:

Looking at the graph gives us this information:

SLOPE

you can see that for every 1 unit over, it goes one unit down.

slope = rise / run which would be -1/1 which is also just -1

INTERCEPT

the y intercept is 2

equations are typically written in y=mx+b form (where m is the slope and b is the intercept)

so we have y = -1x +2

you don't need to write the 1 because -1x is the same as -x

sof(x)= -x+2

4x'y - 12x y - 20xy
4xy

Answers

Answer:

the awnser is 143X.

Step-by-step explanation:

y = 6x
2х + Зу = -20

Answers

Answer:

-2/3

Step-by-step explanation:

HELPPPP!!! I need help with this question

Answers

It tells us that angle 3 is a right angle(90 degrees) and it also tells us that angles 1 and 2 are congruent therefore you would take 180-90=90/2=45 so the answer would be 45. Hope this helps:)

Answer:

42°

Step-by-step explanation:

Bottom of Ray = 180

1=2

180-90=90

90/2=45

A restaurant offers delivery for their pizzas. The total cost is a delivery fee added to the price of the pizzas. One customer pays $25 to have 2 pizzas delivered. Another customer pays $58 for 5 pizzas. What is the cost of one pizza?

Answers

Answer:

$11

Step-by-step explanation:

11 x 2 = 22

25 - 22 = 3

11 x 5 = 55

58 - 55 = 3

Delivery Fee is $3

Every Pizza is $11

Which function has a domain of x greater-than-or-equal-to 5and a range of y less-than-or-equal-to 3?
y = StartRoot x minus 5 EndRoot + 3
y = StartRoot x + 5 EndRoot minus 3
y = negative StartRoot x minus 5 EndRoot + 3
y = negative StartRoot x + 5 EndRoot minus 3

Answers

Answer:

The function that has a domain of 'x' greater-than-or-equal-to 5 and a range of 'y' less-than-or-equal-to 3 is;

[tex]y = -\sqrt{x - 5} +3[/tex].

Step-by-step explanation:

The domain of a function are the possible 'x' values of the function

The range of a function are the possible 'y' values of the function

The given possible functions are;

1) [tex]y = \sqrt{x - 5} +3[/tex]

The range of values for the above function are;

Domain; x ≥ 5

Range; y ≥ 3

2) [tex]y = \sqrt{x + 5} -3[/tex]

The range of values for the above function are;

Domain; x ≥ -5

Range; y ≥ -3

3) [tex]y = -\sqrt{x - 5} +3[/tex]

The range of values for the above function are;

Domain; x ≥ 5

Range; y ≤ 3

4) [tex]y = -\sqrt{x + 5} -3[/tex]

The range of values for the above function are;

Domain; x ≥ -5

Range; y ≤ -3

Therefore, the required function is the third function, [tex]y = -\sqrt{x - 5} +3[/tex].

Answer:

C on Edge2021

Step-by-step explanation:

The telephone company purchased 192 yards of wire for $2,304 in January. They
plan on making a purchase of 400 yards in February. How much will the February
purchase cost?

Answers

Answer:

Step-by-step explanation:

400yd($2304/192yd)=$4800

Answer:

400 yards of wire will cost $4,800

Step-by-step explanation:

First find the cost per yard of wire by using the equation 2,304/192 which equals 12/1, which is $12 per yard of wire. Next multiply that by 400 to get $4800, which is the total February purchase cost.

Paula runs a day care center. Of the last 16 children to enroll at
the day care center, 8 of them have been babies. What is the
experimental probability that the next child to enroll will be a
baby?
Write your answer as a decimal rounded to the nearest tenth.

Answers

Answer:

0.5

Step-by-step explanation:

P(event) = number of times event occurs/ total number of trials

Hi, You are the person I answered last time!

P(event) = 8/16

8/16 simplified is equaled to 1/2.

1/2 is equaled to 0.5

Again, I'm pretty sure this is right because it says experimental probability... I hope this helps!

Given the coordinate transformation f(x, y) = (- 2x, y) and the domain (0, 5), (8, - 1) and (- 6, 4) what is the range?

Answers

Answer:

{(0, 5), (-16, -1), (12, 4)}

Step-by-step explanation:

Given the coordinate transformation f(x, y) = (- 2x, y) and the domain (0, 5), (8, - 1) and (- 6, 4), to get the range, we will get f(x, y) for all the domain values

For the coordinate (0,5);

f(0, 5) = (-2(0), 5)

f(0, 5) = (0, 5)

For the coordinate (8, -1);

f(8, -1) = (-2(8), -1)

f(8, -1) = (-16, -1)

For the coordinate (-6, 4);

f(-6, 4) = (-2(-6), 4)

f(0, 5) = (12, 4)

Hence the range is {(0, 5), (-16, -1), (12, 4)}

The volume of a rectangular solid can be found by multiplying the length times
the width times the height. Which of the following is an algebraic
representation of this?
A.L+W+H
B.LWH
C.3LWH
D.3L + 3W + 2H

Answers

B. LWH
Which is Length into Width into height

The graph of a linear inequality in two variables is the __________ containing all of its solutions.

.line

.half-plane

.parabola

.ellipse

Answers

Answer:

half-plane

Step-by-step explanation:

To draw the line of a linear inequality, we are going to draw a line that divides the coordinate plane into two parts.

Now, while the solution of the inequality lies on a part of the line, the second part of the line does not represent this solution.

Hence, we have a division into two planes. The shaded plane will represent solution to the inequality while the unshaded part will represent the part that is not a solution.

This depends on the sign of the inequality that is present .

The graph of a linear inequality in two variables is the half plain containing all of its solutions.

The graph of an inequality in two variables is the set of points that represents all solutions to the inequality.

A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality.

The line of a linear inequality, to draw a line that divides the coordinate plane into two parts.

Now, while the solution of the inequality lies on a part of the line, the second part of the line does not represent this solution.

A division into two planes.

The shaded plane will represent solution to the inequality while the unshaded part will represent the part that is not a solution.

This depends on the sign of the inequality that is present .

Hence, The graph of a linear inequality in two variables is the half plain containing all of its solutions.

To know more about Plane click the link given below.

https://brainly.com/question/22848383

There is a bag filled with 2 blue, 4 red and 5 green marbles. A marble is taken at random from the bag, the colour is noted and then it is replaced. Another marble is taken at random. What is the probability of getting 2 different colours?

Answers

Answer:

58.5% (94886869494949)

Step-by-step explanation:

EZ math. (but take note of my username)

Ver. 3 hmmmmmmmmmmngngngnfnfbnff
G
H
F
G
H

F help what does it say inspection is stopppping meee

Answers

Answer:

it said

fast charger

Step-by-step explanation:

Solve the following system of equations using the elimination method

5x+3y=1
x+2y=3​

Answers

Answer: x= -1, y=2

Step-by-step explanation:

Someone help me 8 points each

Answers

Answer:

the third one is not intersenting

Step-by-step explanation:

Answer:

x=49

Step-by-step explanation:

180-131=49

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