100 points!!!


Note: Enter your answer and
show all the steps that you
use to solve this problem in
the space provided.
Simplify the radical
expression. Show all your
steps.
√363-3√27

Answers

Answer 1

The simplified expression is: 2√3

How to solve

To simplify the given radical expression √363 - 3√27, we first need to simplify each square root term individually.

Simplify √363:

We need to find the prime factorization of 363 and look for pairs of identical factors.

363 = 3 × 121

363 = 3 × 11 × 11

There is a pair of 11's, so we can simplify the square root:

√363 = √(3 × 11 × 11)

√363 = 11√3

Simplify 3√27:

We need to find the prime factorization of 27 and look for pairs of identical factors.

27 = 3 × 3 × 3

There is only one pair of 3's, so we can simplify the square root:

3√27 = 3√(3 × 3 × 3)

3√27 = 3(√(3 × 3) × √3)

3√27 = 3(3√3)

Now we can substitute the simplified expressions for the original terms in the expression:

(11√3) - (3(3√3))

To further simplify, we need to combine like terms. In this case, we have two terms with the same radical (√3), so we can combine them:

11√3 - 9√3 = (11 - 9)√3

11√3 - 9√3 = 2√3

The simplified expression is: 2√3

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Related Questions

Brainless if answer correct

Brainless if answer correct

Answers

Answer:

3 1/5 inches

Step by Step Explanation:

4/5 * 4 = 16/5

16/5 as a mixed number is 3 1/5.

The answer is 3 1/5 inches hope this helps!!

Answer:

i would say 3  1/5

Step-by-step explanation

If two fair dice are rolled, what is the probability that the total showing is either even or less than five? 5.
these are the choices:
a. 5/9
b. 17/36
c. 19/36
d. 11/18​

Answers

If two fair dice are rolled, the probability that the total showing is either even or less than five is 17/36. The correct answer is B.

There are 36 possible outcomes when rolling two dice, since each die has 6 possible outcomes.

To find the probability that the total showing is either even or less than five, we can first find the probability that the total showing is even, and then add to that the probability that the total showing is less than five, excluding the outcomes where the total showing is even.

To find the probability that the total showing is even, we can consider the following possibilities:

both dice show even numbers (probability 1/4)

both dice show odd numbers (probability 1/4)

So the probability of rolling an even total is 1/4 + 1/4 = 1/2.

To find the probability that the total showing is less than five, excluding the outcomes where the total showing is even, we can consider the following possibilities:

the two dice show 1 and 1 (probability 1/36)the two dice show 1 and 2 (probability 1/18)the two dice show 2 and 1 (probability 1/18)the two dice show 1 and 3 (probability 1/12)the two dice show 3 and 1 (probability 1/12)the two dice show 2 and 2 (probability 1/9)the two dice show 1 and 4 (probability 1/9)the two dice show 4 and 1 (probability 1/9)the two dice show 3 and 2 (probability 1/6)the two dice show 2 and 3 (probability 1/6)the two dice show 1 and 5 (probability 1/6)the two dice show 5 and 1 (probability 1/6)the two dice show 4 and 2 (probability 1/6)the two dice show 2 and 4 (probability 1/6)

So the probability of rolling a total less than five, excluding the outcomes where the total showing is even, is 1/36 + 1/18 + 1/18 + 1/12 + 1/12 + 1/9 + 1/9 + 1/9 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6 = 11/36.

Therefore, the probability that the total showing is either even or less than five is 1/2 + 11/36 = 17/36.

So the correct answer is (b) 17/36.

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in 2013 January there were 360 pupils in school the ratio of boots to girls was 5:4 in February 18 boys were admitted in school how many boys were there in February​

Answers

Answer:

218

Step-by-step explanation:

this is ratio.

5+4=9. which is the ratio you add it.

5/9×360=200

therefore the number of boys in school during 2013 january is 200 plus admitted boys in February is 200+18=218.

therefore the number of boys in school from january to february is 218.

1. If f(x) = 4x — 7 and , find each value:
a. f(3)
b. f(0)

Answers

Answer:

f(3)=5

f(0)= -7

Step-by-step explanation:

replace

4(3)-7

f(3)=5

f(0)=4(0)-7

f(0)=0-7

f(0)= -7

a. f(3)=4(3)-7=5
b. f(0)=4(0)-7=-7
hope this helps!

Rewrite each expression using properties
2(x + 4) - 3(x -5)

Answers

2(x + 4) - 3(x -5) = 2x + 8 - 3x + 15 = 23 - x

4\(\sqrt{-5^2-3^2\\}\)

Answers

here is the answer hope this helps
4[tex]\sqrt{-5^2-3^2\\}[/tex]

MARKING BRAINLIEST How many times will the decimal in the divisor move?
36.80 = 2.3
MARKING BRAINLIEST

Answers

2 times it will have to move

Answer:

it will move once

Step-by-step explanation:

the probability that a visitor to an animal shelter will adopt a dog is 0.10. out of 9 visits, what is the probability that at least (equal to or more than) 1 dog will be adopted?

Answers

The probability of having at least one dog adopted is 0.6126

It is given that the probability to adopt a dog is 0.1

The adoption of the dog here clearly follows a Binomial distribution

ⁿCₓ  X  pˣ  X  (1 - p)ⁿ⁻ˣ

where,

n = no. os sample

p = probability of success

x = random variable.

Here the success would be the adoption of a dog, We are given here there were 9 visits

Hence,

n = 9

p = 0.1

1 - p = 0.9

we need to find the probability of the adoption of at least one dog

= P(X ≥ 1)

= 1 - P(X = 0)

Hence we get

P(X = 0)

= ⁹C₀  X  0.1⁰  X  0.9⁹

= 0.3874

Hence,

P(X ≥ 1)

= 1 - 0.3874

= 0.6126

Therefore the probability that at least one dog will be adopted is 0.6126

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Give the awnser in they form y=mx + C

Give the awnser in they form y=mx + C

Answers

The linear function for this problem is given as follows:

y = 15x + 5.

How to define a linear function?

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

m is the slope.b is the y-intercept.

The graph crosses the y-axis at y = 5, hence the intercept b is given as follows:

b = 5.

When x increases by 1, y increases by 15, hence the slope m is given as follows:

m = 15.

Thus the function is given as follows:

y = 15x + 5.

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pleas help quick
What is the value of the expression

pleas help quick What is the value of the expression

Answers

PLUG IN THE VALUES IN THE RIGHT POSITIONS AND SIMPLIFY.

\( = 2( \frac{1}{2} + \frac{3}{4} ) + 6 \\ = 2( \frac{5}{4} ) + 6 \\ = \frac{10}{4} + 6 \\ = \frac{5}{2} + 6 \\ = \frac{17}{2} \)

THE ANSWER IS OPTION C.

Point K is rotated 90". The coordinate of the pre-image point K was (2,6) and its image K' is at the coordinate (-6, -2) Find the direction of the rotation, The direction of rotation was ???​

Answers

Answer:

Clockwise

Step-by-step explanation:

Sorry I answered late

Answer:Clockwise

Step-by-step explanation:

I need help answering the question…

Find expressions for the slope and x- and y- intercepts for Ax + By = C, where A, B, and C are nonzero integers.

First of all, I do not understand any word in that, so the answer and an explanation with get brainiest.

Answers

I gotchu :)

So, the base equation is: ax+by=c

x int is c/a

y int is c/b

and the slope is -a/b

So basically, what I wrote above is how to get each aspect of the line using the standard form formula.

The "nonzero" part means that each integer (the A, B, AND C in the formula above) cannot be 0, as that would mean that everything will end up equaling to 0, which does not create the line. So basically, the answer would be:

x int is c/a

y int is c/b

and the slope is -a/b

^ if you apply these to any standard form, you will get the thing I stated next to it. For example, if the standard form equation is:

5x+6y=5

if you want to find the slope, you will do -a/b, and that will give you -5/6, which is your slope

Hope this helps :)

A group of friends wants to go to the amusement park. They have $416. 75 to spend on parking and admission. Parking is $15. 25, and tickets cost $36. 50 per person, including tax. Which equation could be used to determine

x, the number of people who can go to the amusement park?

Answers

The equation 36.50x + 15.25 = 416.75 can be simplified to solve for x, representing the number of people who can go to the amusement park. By isolating the variable, we find that x is approximately 11, meaning that 11 people can go to the amusement park with the given budget.

The term x(36.50) represents the total cost of admission tickets for x number of people, and 15.25 represents the cost of parking. The sum of these costs must be equal to the total amount of money available, which is $416.75. To solve for x, we can first simplify the equation to 36.50x + 15.25 = 416.75, and then isolate the variable by subtracting 15.25 from both sides, giving 36.50x = 401.50. Finally, we can divide both sides by 36.50 to find that x is approximately 11, meaning that 11 people can go to the amusement park with the given budget.

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y=3x+−7

Find the slope.


A. 7




B. -7


C. 3x


D. 3

Answers

Answer:

D.3

Step-by-step explanation:

In the equation for a line in the form y=mx+c, m represents the slope.

Therefore the slope is 3.

Answer:

D

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + - 7 ← is in slope- intercept form

with slope m = 3

Which of the following is another way to write 1,645.29?
A.
1 thousand + 6 hundreds + 4 tens + 5 ones + 2 tenths + 9 hundredths
B.
1 thousand + 6 hundreds + 4 tens + 5 ones + 2 hundredths + 9 thousandths
C.
one thousand, six hundred forty-five and twenty-nine tenths
D.
one thousand, six hundred forty-five and twenty-nine thousandths

Answers

Answer:

the answer is A 1 thousand 6 hundreds 4 tens 5 ones 2 tenths 9 hundreths

please I need help in this question​

please I need help in this question

Answers

Answer of a)
125+x=180 degree (linear pair)
x=180-125
x=55 degree
x= angle BCK

Angle CBK:
By using angle sum property of triangle,
55+50+y=180 degree
y=180-105
y=75 degree
y=angle CBK

Therefore angle BCK is 55 degree and angle CBK is 75 degree

consider a change in the sample sizes such that a random sample of size 52 is selected from population x and a random sample of size 63 is selected from population y. when all other things remain the same, what effect would such a change have on the interval?

Answers

The effect of changing the sample sizes on the interval would depend on the relative size of the populations. Generally, a larger sample size will lead to a more precise interval, but if population X is much larger than population Y, then the size of the interval will not be affected much by the change.


If a random sample of 52 is selected from population x, and a random sample of 63 is selected from population y and when all other things remain constant, such a change in sample sizes will cause the margin of error to decrease.

When the sample size increases, the standard error of the mean decreases as well. Since the margin of error is directly linked to the standard error of the mean, this is the case. As a result, when the sample size is raised, the margin of error decreases.

The margin of error is a statistical concept that reflects the degree of uncertainty in a sample estimate. As a result, when the margin of error decreases, the precision of the results increases. As a result, when the sample size is increased, the data becomes more accurate.

So, when all other factors remain constant, an increase in sample size produces a more accurate result.

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PLEASE HELP! The volume of a rectangular prism is 655.2ft³. If the base of the prism is 9ft long and 5.2ft wide, what is the height of the prism?

Answers

Answer:

14 ft

Step-by-step explanation:

Answer:

14ft

hope ut helps

please mark Brainliest

Find the limit a-bx^4/cx^4+x^2

Answers

Look at this image for answer.

Find the limit a-bx^4/cx^4+x^2

How would I graph this?: 3x + 9y = −18

Answers

Answer:

take value of x as 0 so

9y=-18 y =-18/9

y=-2

(0,-2)

same take y equal 0

an unnormalized relation is a table that has more than one row.

Answers

An unnormalized relation refers to a table in a relational database that contains more than one row. This means that there are duplicate rows in the table, which violates the rules of normalization.

Normalization is a process in database design that aims to eliminate data redundancy and ensure data integrity. It involves breaking down a database into multiple tables and defining relationships between them. By doing so, we can efficiently store and retrieve data while minimizing inconsistencies.

In an unnormalized relation, duplicate rows can lead to various problems. For example, it can result in data inconsistencies, as updating one instance of a row may not reflect changes in other duplicate rows. Additionally, it can cause unnecessary storage and maintenance overhead.

To normalize an unnormalized relation, we need to identify the functional dependencies in the table and create separate tables for related data. This helps organize the data and reduces redundancy.

In summary, an unnormalized relation is a table in a relational database that has duplicate rows. It is important to normalize such relations to ensure data integrity and efficiency.

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Define the set S of matrices by S={A=(aij)∈M2(R):a11 =a22,a12 =−a21}. It turns out that S is a ring, with the operations of matrix addition and multiplication

Answers

The set S of matrices are

a x (b+c)=a x b + a x c

(a+b)xc = a x c + b x c

for a,b,c ∈ R

The given set of matrices by s is S={A=(aij)∈M2(R):a11 =a22,a12 =−a21}

so as we all know that s is a ring with operations of matrix addition and multiplication

Matrix refers to the rectangular array of numbers consisting rows and columns. They have wide application in the fields of engineering, science and mathematics.

therefore, the set R that is equipped with two binary operation are addition and multiplication

( R,+ ) belongs to an abelian group( R, x ) belongs to a semigroup

multiplication distribution concerning addition

a x (b+c)=a x b + a x c

(a+b)xc = a x c + b x c

for a,b,c ∈ R

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there are twelve gymnasts, among whom are lia, bella, and priscilla. there is going to be world cup competition. a team comprised of 5 gymnasts should be send to participate in the competition. how many ways can this be done so that the team includes exactly two gymnast from {lia, bella, priscilla}?

Answers

Number of ways 5 gymnasts participate including exactly two from Lia , Bella , Priscilla is equal to 252.

As given in the question,

Total number of gymnasts = 12

Number of gymnasts to be participates = 5

Condition:

Exactly two gymnasts from Lia , Bella , Priscilla

Number of ways 5 gymnasts participates

= ⁹C₃ × ³C₂

= ( 9!)/ ( 9 - 3)! 3! × 3!/ ( 3-2)! 2!

= [( 9× 8 ×7 × 6!)/ 6! ( 3× 2× 1)] × ( 3 × 2!)/ 2!

= [( 9× 8 ×7)/ ( 3× 2× 1)] × 3

= 252

Therefore, the number of ways 5 gymnast can participate out of 12 with the given condition is 252.

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If f(x) = 3x-6 and g(x) = 1/3x+1, then (g(f))^-1 (x) equals.
1-x
1/3(3x-1)
(x+1)
(x-1)

Answers

We need to find the inverse of the function gof (x). First we need to find the composite function gof (x) which is given by:

\(g(f(x)) = g(3x - 6)\)

= \((1/3)(3x - 6) + 1\)

= x - 1 + 1

= x

Thus,

gof (x) = x.

Now we need to find the inverse of the function gof (x) to obtain

\((gof)^-1 (x).\)

We have gof (x) = x

which implies\((gof)^-1 (x)\)

= gof (x)^-1

= x^-1

= 1/x,

x ≠ 0

Therefore,

\((gof)^-1 (x) = 1/x\)

which is option (3) (x+1) since 1/x can be written as 1/(x+1-1), where (x+1-1) is the denominator of 1/x.

Hence, the correct option is (3).

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Final answer:

To find (g(f))^-1 (x), substitute the expression for f(x) into g(x) and simplify. The composition of g(f) is x and its inverse is also x. Therefore, (g(f))^-1 (x) equals x.

Explanation:

To find (g(f))^-1 (x), we need to first find the composition of g(f) and then find its inverse. Start by substituting the expression for f(x) into g(x): g(f(x)) = g(3x-6) = \frac{1}{3}(3x-6) + 1 = x - 1 + 1 = x. So, g(f(x)) = x. Now, to find the inverse of g(f), we switch the x and y variables and solve for y: y = x. Therefore, (g(f))^-1 (x) = x.

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figure out the slope of the line that passed through each pair of points (4,-11) and (7,-8)​

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

\(slope = \frac{ - 8 - ( - 11)}{7 - 4} \\ \)

\(slope = \frac{ - 8 + 11}{7 - 4} \\ \)

\(slope = \frac{3}{3} \\ \)

\(slope = 1\)

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

ASAP PLS
you use bottles of 100% vegetable juice and 40% vegetable juice to make an energy drink for a fitness class. how many gallons of each type of juice should you mix to make 6 gallons of 60% vegetable juice

Answers

Answer:

2 gallons 100% vegetable juice

4 gallons 40% vegetable juice

Step-by-step explanation:

x = gallons of 100% vegetable juice

y = gallons of 40% vegetable juice

1x + .4(6 - x) = 6(.6)

1x + 2.4 - .4x = 3.6

.6x + 2.4 = 3.6

.6x = 1.2

x = 2

y = 6 - x

y = 6 - 2

y = 4

2 gallons 100% vegetable juice

4 gallons 40% vegetable juice

The length of a rectangle is four times its width.
If the perimeter of the rectangle is , find its length and width.

Answers

The length is 20 and width will be 5.

What is a rectangle?

Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral, A closed, four-sided rectangle is a two-dimensional shape. A rectangle's opposite sides are equal and parallel to one another, and all of its angles are exactly 90 degrees.

Area of rectangle is A = a*b

The length of a rectangle is four times its width.

If the perimeter of the rectangle is 50

The perimeter 2(a+4a)= 50

5a = 50/2

a = 25/5 = 5

So the width is 5 and width is 5*4 = 20

Hence The length is 20 and width will be 5.

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the latin dance club needs to raise more than $178.50 to buy costumes. the club has already raised $35.70. which inequality shows how much money each of the 7 club members needs to raise, m, if each person raises the same amount?

Answers

Answer:

The Latin dance club needs to raise $178.50 to buy costumes. The club has already raised $35.70, so they need to raise $178.50 - $35.70 = $142.80 more. If each person raises the same amount, then each person needs to raise $142.80 / 7 = $20.40.

Therefore, the inequality that shows how much money each of the 7 club members needs to raise is:  m > $20.40

Step-by-step explanation:

Identify the coefficient of x.
Equation

Identify the coefficient of x.Equation

Answers

Answer:

A coefficient is a number in front of a variable. For example, in the expression x 2-10x+25, the coefficient of the x 2 is 1 and the coefficient of the x is -10. The third term, 25, is called a constant.

Step-by-step explanation:

Complete a function table from an equation
Complete the table.

Complete a function table from an equationComplete the table.

Answers

The answers are 8,2,-4,-10
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