How do you simplify the square ro
ot of 180 and how do you know that it is in simplest form?

Answers

Answer 1

Step-by-step explanation:

[tex] \sqrt{180 } = 6 \sqrt{5} [/tex]

because 6² = 36 and 36×5 = 180

I don't think there's any simple way to do it


Related Questions

Find [tex] \frac{dy}{dx} [/tex] if [tex]x = a( \theta - \sin \theta)[/tex], [tex]y = a(1 + \cos \theta)[/tex] Or Prove that [tex] \frac{dy}{dx} = - \cot (\frac{ \theta}{2} )[/tex]

Answers

Hope this answer helps you

Apex Motors manufactures luxury cars and sport-utility vehicles. The most likely customers are high-income men and women, and company managers want to initiate an advertising campaign targeting these groups. They plan to run 1-minute spots on business/investment programs, where they can reach 7 million women and 4 million men from their target groups. They also plan 1-minute spots during sporting events, where they can reach 2 million women and 12 million men from their target groups. Apex feels that the ads must reach at least 37 million women and at least 32 million men who are prospective customers. (a) Write the inequalities that describe the constraints on the number of each type of 1-minute spots needed to reach these target groups. (Let x represent minutes of business/investment program ads, and let y represent minutes of sporting events ads.)

Answers

The constraints that describe the system of inequalities in this problem are given as follows:

7x + 2y ≥ 37.4x + 12y ≥ 32.

How to obtain the constraints?

The first step toward obtaining the constraints is defining the variables, as follows:

Variable x: minutes of business/investment program ads.Variable y: minutes of sporting events ads.

Apex feels that the ads must reach at least 37 million women, hence, for the amounts of each event, the constraint is given as follows:

7x + 2y ≥ 37.

They also want to reach at least 32 million men, hence the constraint is given as follows:

4x + 12y ≥ 32.

The reaches are already given in millions of people, hence the millions don't need to be inserted into the equations.

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Which of the following expressions has a value of 3? Select all that apply.
-6 ÷ -2
4 - (-1)
(-1)(-3)
(-2) - 1
15 ÷ -5
4 + 1
asap on a quiz

Answers

Answer: -6 ÷ -2    ,  (-1)(-3)  ,  and 4 + 1

Step-by-step explanation:

If f(1)=7, f(5)=-3, f(11)=-9, g(7)=11, g(-3)=6 and g(-9)=1, then find f(g(7))

Answers

The value of the given composite function f(g(7)) will be -9 for the given data.

What is a linear function?

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

As per the given,

f(1)=7

Take the g function on both sides

g(f(1)) = g(7)

Since, g(7) = 11

Thus, Take f function on both sides,

f(g(7)) = f(11)

Since,f(11)=-9

Thus,f(g(7)) = -9

Hence "The value of composite function f(g(7)) is -9".

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100 points
How many males are currently not enrolled in Composition 1?
35
46
89
124

Answers

Answer:

A) 35

---------------------

Use the given values in the table and find the missing ones.

The first two rows add up to the last row and same for the columns.

1) Find the Row total for Males:

251 - 127 = 124

2) Find the number of Males not enrolled in Composition 1:

124 - 89 = 35

Correct choice is A.

PLS HELP IF I GET AN 80 OR HIGHER I GET A DOG!! ILL GIVe BRAINLIEST

Answers

Answer:

-14

Step-by-step explanation:

x = 98

x = -7x

98/-7 = -14

x = -14

If it is correct, can you please give me a brainliest? Thank you!

A humpback whale is 6,300meters from Billet Bay. If it swims at a constant velocity of 210 meters per minute toward the bay, how much time will it take the whale to get one-third of the way to Billet Bay?

Write your answer as a whole number.
ASAP PLease

Answers

Answer: 10 minutes

Step-by-step explanation:

6,300*1/3=2,100

2,100=210x

2,100/210=10

x=10 minutes

1/2-(-5/6) answer please

Answers

Answer:

Your answer is [tex]1\frac{1}{3}[/tex]

Step-by-step explanation:

(attached)

Answer:

[tex]1 \frac{1}{3}[/tex] or 4/3 or 1.3333...

Step-by-step explanation:

1/2--5/6

When you subtract a negative, it is the same as adding a positive. 1/2+5/6

Create like denominators:

3/6+5/6

Simplify:

8/6

1 1/3 or 1.3333...

PLEASE MARK AS BRAINLIEST

An initial sample of 171 g of a radioactive substance decays according to the function
A(t) = 171e ^ - 0.04(t) where t is given in years?

a) How many grams of the substance will remain after 59 years? Round your answer to the nearest decimal place.

b) What is the half-life of the substance? Round answer to the one decimal place.

Answers

There will be 0.48 grams will be left in the sample after 59 years.

What is a function?

Function is a type of relation, or rule, that maps one input to specific single output.

Since we have given that initial sample of 171 g of a radioactive substance decays according to the function

[tex]A(t) = 171e ^ {- 0.04(t) }[/tex]where t is given in years

Here, Initial amount of radioactive substance = 171 grams

We need to find the amount of substance that will be left in the sample after 59 years.

So, t = 59 years

So, it becomes,

[tex]A(t) = 171e ^ {- 0.04(59) }\\\\A(t) = 0.48[/tex]

Hence, there will be 0.48 grams will be left in the sample after 59 years.

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2. The larger of two numbers is 3 less than twice the smaller number. If their sum is 27, find each number?

Answers

The numbers represented by the statement are 17 and 10

How to determine the numbers

Represent the larger number with x and the smaller number with y

So, we have the following representation from the question

x = 2y - 3

x + y = 27

Substitute x = 2y - 3 in the equation x + y = 27

So, we have the following representation

2y - 3 + y = 27

Evaluate the like terms

3y = 30

Divide both sides by 3

y = 10

Recall that

x = 2y - 3

So, we have

x = 2 * 10 - 3

Evaluate

x = 17

Hence, the numbers are 17 and 10

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Pure gold has a density of 19.32 g/cm³. If a cylindrical piece of pure gold had a mass of 1699.48 g, and a radius
of 2 cm, what is the height of the piece?

Answers

The height of the cylindrical piece of pure gold with density and mass of 19.32 g/cm³ and 1699.48g, having a radius of 2cm is 7cm.

What is the height of the piece of the cylindrical gold?

The volume of a cylinder is expressed as;

V = π × r² × h

Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 )

Also, density is expressed mathematically as;

p = m / v

Given that;

Density of pure gold p = 19.32 g/cm³Mass of the gold cylinder = 1699.48 gRadius of the cylinder r = 2cmVolume of the cylinder V = ?Height of the cylinder h = ?

First, we determine the volume of the cylinder.

Density = Mass / Volume

Volume = Mass / Density

Volume = 1699.48g / 19.32g/cm³

Volume = 87.9648 cm³

Next, we determine the height.

V = π × r² × h

87.9648 = 3.14 × (2)² × h

87.9648 = 3.14 × 4 × h

87.9648 = 12.56 × h

h = 87.9648 / 12.56

h = 7cm

Therefore, the height of the cylinder is 7cm.

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Round each fraction to 0,1/2, or 1…… 7/12 5/6 2/11 4/9

Answers

Answer:

1/2, 1, 0, 1/2

Step-by-step explanation:

We can solve this by rounding each fraction to either 0, 1/2, or 1.

The first fraction, 7/12, is pretty close to 6/12, which is 1/2 of 12.

So we can round this to 1/2.

The second fraction, 5/6, is closer to 6/6 (1) than 3/6 (1/2).

So we can round this to 1.

The third fraction, 2/11 is closer to 0 than 5.5/11 (1/2).

We can round this to 0.

4/9 is closer to 4.5/9 (1/2) than 0.

We can round this to 1/2.

Therefore, when we round all of these fractions, we are left with 1/2, 1, 0, 1/2.



2x+3y=6
−4x+3y=12

Answers

The best way to start off this question is to get rid of the y value as the y value is already equal in both equations. T[tex]-1[/tex]o get rid of the y value, subtract the 2 equations together.

[tex]6x=-6[/tex]

[tex]x=-1[/tex]

Now that you have solved x, you can replace any x value (from either equation). In this scenario, the first equation is easier to solve for the y value.

[tex]2(-1)+3y=6\\-2+3y=6\\3y=8\\y=\frac{8}{3}[/tex]

Thus,

x = [tex]-1[/tex] and y = [tex]\frac{8}{3}[/tex];    [tex](-1,\frac{8}{3} )[/tex]

Hope this helped :)

WORK OUT ASAP PLEASE

The diagram shows a right-angled triangle.
80%
10cm
Х°
21cm
Find the size of angle x.
Give your answer correct to 1 decimal place.

Answers

Answer:

x° ≈ 25.5°

Step-by-step explanation:

The relationship between the two given sides and angle x are Opposite and Adjacent. So we'll use tan(x) = 10/21 to start.

Take the Inverse tan (tan⁻¹) to find x:  x = tan⁻¹(10/21) ==> calculator

Answer:

x = 25.5°

Step-by-step explanation:

First find the hypotenuse of the right triangle given by the formula

[tex]c = \sqrt{a^{2} + b^{2}}[/tex]

where c is the hypotenuse and a, b the two sides

Let's call the vertical leg as a and the horizontal leg as b

Then we have a = 10, b = 21

So

[tex]c = \sqrt{10^{2} + 21^{2}}\\\\c = \sqrt{100 + 441}\\\\c = \sqrt{541}\\\\c = 23.2594\\\\\\[/tex]

By the law of sines, the ratios of the sides of a triangle to the sine of the angles opposite must be the same. The hypotenuse is opposite the 90° angle. and the side of length 10 is opposite angle x

So
[tex]\dfrac{23.2594}{\sin 90} = \dfrac{10}{\sin x}[/tex]

But  sin 90 = 1. So the above equation reduces to

[tex]2.2594 = \dfrac{10}{\sin x}\\\\\\\implies \sin x = \dfrac{10}{23.2594}\\\\\implies \sin x = 0.43\\\\\\\\x = sin ^{-1}(0.43) = 25.4675\\\\[/tex]

Rounded to 1 decimal place
x = 25.5°

200(x-.3)=600 What is the value of X

Answers

Answer: X= 3.3                    or                          x= 33/10

x=33/10

Hope this helps!

If this net were to be folded into a
cube, which number would be
opposite of the number 1?

i need the answer please

Answers

Answer:

5

Step-by-step explanation:

The squares with 2, 6, 4, 3 will be all the left, front, right, back sides. The 1 and 5 will flap up/down to be the top and bottom. So 1 and 5 will be opposite from each other.

what is the slope of y – 5 = –4x,

3y – 9 = –6x

Answers

Answer:   -4,-2

Step-by-step explanation:

(i)Take y-5=-4x

Make y as subject of formula i.e. y=-4x+5

Now compare it with y=mx+c

Then Slope m=-4

(ii) 3y-9=-6x

Making y as subject of formula i.e. 3y=-6x+9

Divide through by 3

then it will become y=-2x+3

Now comparing it with y=mx+c

then Slope m=-2

PLEASE HELP!! THIS IS DUE TODAY!

Estimate the quotient.


3,411 divided by 53


The estimate is: ___

Answers

The quotient of the given expression is 68.

What is the quotient?

A quotient in mathematics is the amount created by dividing two numbers. The term "quotient" is used frequently in mathematics and is sometimes known as the integer portion of a division, a fraction, or a ratio.

For the given problem,

To find out the estimation of the quotient, we first round the dividend and the divisor to the closest tens, hundreds, or thousands, and then divide the rounded figures to approximate the quotient.

Given, 3411 divided by 53

So, the rounding value becomes 3400 divided by 50,

then, 3400/50 = 68

Hence, the quotient is 68.

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Determine whether the point is on the graph of the equation 2x + 7y =13 (3,1) yes or no

Answers

Step-by-step explanation:

i think its no, but im not sure.

I need help with this please help me

Answers

Answer: 67.38

Step-by-step explanation:

Assuming that [tex]\triangle ACD \cong \triangle BCD[/tex], [tex]m\angle BCD=\frac{134.76^{\circ}}{2}=67.38^{\circ}[/tex] by CPCTC.

A community swimming pool is 8 yards 4.79 feet wide. How wide is the pool in meters and centimeters?

Conversion ratios:

1 m = 1.09 yd
1 ft = 0.3048 m
1 m = 100 cm
Round the centimeters to the nearest hundredth.

You must show all your work to earn full credit.

Answers

Answer:

8 yd = 7.2192 m

4.79 ft = 1.4499 m

7.2192 m + 1.4499 m = 8.6691 m

8.6691 m x 100 cm = 866.91 cm

y = x² - x - 22
y = x - 7

Answers

Answer: Solve for the first variable in one of the equations, then substitute the result into the other equation.


Point Form:

(5,−2),(−3,−10)


Equation Form:

x=5,y=−2x=5,y=-2

x=−3,y=−10x=-3,y=-10



Maybe want something different then here:

X intercepts- (7,0)

Y intercepts- (0, -7)

Is the function represented by the table nonlinear

Answers

No, because it has a constant rate of change

Find the slope of the line that passes through all of the points
on the table.

Someone help I’ll give brainliest

Answers

Answer:

9

Step-by-step explanation:

Slope is rise over run, and we can see on the char that every time the x-value increases by 1, the y-value increases by 9, so the slope is 9/1, or 9.

(10,-8), (20,6) find the slope

Answers

Answer:

7/5 decimal form- 1.4

Step-by-step explanation:

Hope this helped ! :D

A local charity sells a total of 460 tickets to a golf tournament fundraiser. A member ticket costs $50. A non-member ticket costs $65. How many non-member tickets were sold if the total ticket sales are $24,065?
A4
B 65 C 71 D 389

Answers

Answer:

C (71)

Step-by-step explanation:

Hi there! I am very happy to answer your question!

[tex]65x+23000-50x=24065[/tex]

[tex]15x+23000=24065[/tex]

[tex]15x=24065-23000[/tex]

[tex]15x=1065\\[/tex]

[tex]x=\frac{1065}{15}[/tex]

[tex]x=71[/tex]

I got it wrong but SOS

Answers

well, the wording is


"the yards from their goal line as a function of the number of plays"

the number of plays is the independent variable, meaning the dependent variable is the number of yards, hmmm so they're about to start their play on the 5-yard line, meaning the number of plays at this point is 0, zilch, then they move on each 3 plays by 10 yards, so let's make a table

[tex]\begin{array}{ccll} Plays&Yards\\ \cline{1-2} 0&5\\ 3&\underset{5+10}{15} \end{array}\hspace{5em} (\stackrel{x_1}{0}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{15}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{15}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{0}}} \implies \cfrac{10 }{ 3 }[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{ \cfrac{10 }{ 3 }}(x-\stackrel{x_1}{0})\implies y-5=\cfrac{10}{3}x[/tex]

oddly enough, looks like yours :)

From Rome, Paul planned to visit _____.

Macedonia
Spain
Corinth

Answers

Answer: Spain

After Rome, St.Paul wanted to go to Spain.

Step-by-step explanation:

Paul planned to visit Macedonia

What expression represents the verbal phrase? 450 minus the quantity three-tenths times a number x

Answers

Answer:

Step-by-step explanation:

Answer:  "450" - "0.3" x

Step-by-step explanation: the quantity of 3 tenths is 3/10, or in other words, 0.3 because 3 divided by 10 is 0.3

Furthermore, "times a number x" just means " [tex]\frac{3}{10}x[/tex]

Write an equation in slope-intercept form of the line that passes through (-5, 5) and (5, - 5).
An equation is

Answers

Answer:

y=-5x+5

Step-by-step explanation:

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