Find the volume of the cone.
Either enter an exact answer in terms of π or use 3.14 for π and round your final answer to the nearest hundredth.

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Explanation:

g(x) is the inverse of f(x), which tells us that g undoes everything f(x) does.

If we input x = -6 then f(x) outputs 1

g(x) then reverses this to say that g(1) = -6. The inputs and outputs swap roles.

Moving to row 2, we see that f(-3) = 2 which reverses to g(2) = -3

We'll replace the g(2) with -3 to go from

f( g(2) )

to

f( -3 )

-3 isn't the answer, but I wanted to put it in bold to show how the replacement is happening.

From the table, we see that f(-3) = 2 which is the final answer

In other words, f(g(2)) = 2

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Side note:

We can say that f(g(x)) = x for any number x in the domain of g(x).

As another example, g(3) = 5 and f(g(3)) = f(5) = 3.

The same works the other way around meaning that g(f(x)) = x.

Answer:

Step-by-step explanation:

1). Step 4:

   [tex]x=5^{\frac{4}{3}}=(5^4)^{\frac{1}{3}}[/tex]

   [tex]x=\sqrt[3]{5^4}[/tex] [Since, [tex]a^{\frac{1}{3}}=\sqrt[3]{a}[/tex]]

   [tex]x=\sqrt[3]{5\times 5\times 5\times 5}[/tex]

   Step 5:

   [tex]x=\sqrt[3]{(5)^3\times 5}[/tex]

   [tex]x=\sqrt[3]{5^3}\times \sqrt[3]{5}[/tex]

2). He simplified the expression by removing exponents from the given expression.

3). Let the radical equation is,

   [tex](3x-1)^{\frac{1}{5}}=2[/tex]

   Step 1:

   [tex](3x-1)^{\frac{1}{5}\times \frac{5}{1} }=2^{\frac{5}{1}}[/tex]

   Step 2:

   [tex](3x-1)=2^5[/tex]

   Step 3:

   [tex]3x=32+1[/tex]

   Step 4:

   [tex]x=11[/tex]

4). By substituting [tex]x=11[/tex] in the original equation.

   [tex](3\times 11-1)^{\frac{1}{5}}=(32)^\frac{1}{5}[/tex]

                         [tex]=(2^5)^\frac{1}{5}[/tex]

                         [tex]=2[/tex]

There is no extraneous solution.

1). Step 4:

   x=5^{\frac{4}{3}}=(5^4)^{\frac{1}{3}}x=534=(54)31

   x=\sqrt[3]{5^4}x=354 [Since, a^{\frac{1}{3}}=\sqrt[3]{a}a31=3a

   x=\sqrt[3]{5\times 5\times 5\times 5}x=35×5×5×5

   Step 5:

   x=\sqrt[3]{(5)^3\times 5}x=3(5)3×5

   x=\sqrt[3]{5^3}\times \sqrt[3]{5}x=353×35

2). He simplified the expression by removing exponents from the given expression.

3). Let the radical equation is,

   (3x-1)^{\frac{1}{5}}=2(3x−1)51=2

   Step 1:

   (3x-1)^{\frac{1}{5}\times \frac{5}{1} }=2^{\frac{5}{1}}(3x−1)51×15=215

   Step 2:

   (3x-1)=2^5(3x−1)=25

   Step 3:

   3x=32+13x=32+1

   Step 4:

   x=11x=11

4). By substituting x=11x=11 in the original equation.

   (3\times 11-1)^{\frac{1}{5}}=(32)^\frac{1}{5}(3×11−1)51=(32)51

                         =(2^5)^\frac{1}{5}=(25)51

                         =2=2

There is no extraneous solution.

Answer:

asa similarity postulate

Answer:

look in explanation

Step-by-step explanation:

what is the probability of the ball hitting u in dodge ball in pe

what is the ratio of your computer to everyone else's in comp science

how much of your essay did you finish (in a fraction)

how many people are there in psychology class for every notebook?

Answer:

JRQ = 56

Step-by-step explanation:

SRQ - SRJ = JRQ

166 - 110 = 56

Answer:

6 pretty sure

Step-by-step explanation:

Answer: 70 degrees 35 times 2

Answer:

y = -2/5x + 5

Step-by-step explanation:

y = -2/5x + b

7 = -2/5(-5) + b

7 = 2 + b

5 = b

Answer:

y - intercept = 3

Step-by-step explanation:

Equation of a line :

                    [tex](y - y_1) = m(x - x_1)[/tex]

[tex](x_1, y_1) = (5, 4)[/tex] , [tex]slope, m = \frac{1}{5}[/tex]

Substituting the values in the equation:

[tex](y - 4) = \frac{1}{5}(x - 5)\\\\y = \frac{1}{5} x - 1 + 4\\\\y = \frac{1}{5}x +3[/tex]

Answer:

12

Step-by-step explanation:

sqrt(144)

What number times itself equals 144

12*12 = 144

-12*-12 =144

Given your choices, your solution is 12

Answer:

option a is the answer

Step-by-step explanation:

put the value of x in each expression as x = -2

you'll see that in option a the expression becomes

[tex] \frac{x - 3}{ {x}^{2} - 4} = \frac{ - 2 - 3}{ {( - 2)}^{2} - 4} \\ = \frac{ - 5}{4 - 4} \\ = \frac{ - 5}{0} [/tex]

which is not defined. hence -2 is excluded value

Answer:

C

Step-by-step explanation:

It should be C since whenever something is explained by X, the number (which in this case is 3) will be negative on the X axis line. Hope I helped

Answer:

2.58

Step-by-step explanation:

3 1/3% = 0.03333

2.5 x 1 + 0.33333 gets us 2.5833

Simplify to 2.58

We add the 1 to 0.33333  to get us the original number.

Hope this Helps!

Answer:

Following are the description of the scissors:

Step-by-step explanation:

The tool is used to cut cloth, paper, and other materials. This refers to two blades placed one on each other and attached inside the middle to enable the thumbs and fingertips to opened and shut through hooks at the bottom of the handles.

It may be used to cut different thin materials, including papers, cartons, sheets, cloth, cloth, or wire. For specific needs a broad range of scissors and shears are available.

Answer:

134

Step-by-step explanation:

the line where B and X are equal to 180 so you subtract 180 from B witch is 134

The answer is :

- i

I hope this helps

Answer:

-i

Step-by-step explanation:

just did it on edg 2021

Answer:

Option C

only there is p > -3

p < 6

Answer:

c

Step-by-step explanation:

Answer:

I want to help but I don't understand the question. Can you plz send a picture of the question

Answer: The area, in square feet, of the piece of wood is [tex]32 ft^{2}[/tex].

Step-by-step explanation:

Give: Length = 8 feet

Width = [tex]\frac{1}{2} \times 8[/tex] = 4 feet

As piece of wood is similar to that of a rectangle. Hence, formula to calculate area is as follows.

[tex]Area = length \times width[/tex]

Substitute the values into above formula as follows.

[tex]Area = length \times width\\= 8 feet \times 4 feet\\= 32 ft^{2}[/tex]

Thus, we can conclude that the area, in square feet, of the piece of wood is [tex]32 ft^{2}[/tex].

Answer:

16

Step-by-step explanation:

5x+1/2y^2

5(3)+1/2(2)^2

15+1^2

15+1=16

Answer:

13/16

Step-by-step explanation:

The pan is divided into 16 bars. His family eats half and then another 5/8. What the question is asking you to do, is to count how many green bars there are left in the pan.

Hope this Helps!

-kiniwih426

Answer:

The answer is gonna be 20

Step-by-step explanation:

Since its 2 in and 10 in. u have to do 2*10=20

Answer:

it depends on the size and angles that are given

SSS means side side side

SAS means side angle side

ASA means angle side angle

AAS means angle angle side

Answer:

1. 51

2. 8

3. √2 or 1.41

Step-by-step explanation:

using pythagorean theorem

Answer:

1) x = 51

2) x = 8

3) x = [tex]\sqrt{2}[/tex] or approximately 1.4142

Step-by-step explanation:

These are simple Pythagorean theorem questions. Remember, the Pythagorean theorem states that [tex]a^2+b^2=c^2[/tex], where a and b represent the legs of the triangles, and c represents the hypotenuse, the side opposite to the 90 degree angle in the triangle. Now simply use the values of a, b, or c, depending on what is given, to solve for the missing side x.

In question 1, you have two legs with sides 45 and 24. Therefore use the Pythagorean theorem where a and b equal 45 and 24 respectively.

[tex]45^2+24^2 = x^22025+576 = x^22601 = x^2x = 51[/tex]

So the answer to question 1 is 51. Repeat this process for the rest of the questions.

In question 2, we are given the hypotenuse and 1 leg, and are missing the other leg. So set your equation up like so, and then solve,

[tex]x^2+6^2=10^2x^2+36=100x^2=64x=8[/tex]

So the answer to question 2 is 8. Now one last time for the 3 and final question. We are given two legs, and are missing the hypotenuse. So set your equation up similar to the first question.

[tex]1^2+1^2=x^21+1=x^22 = x^2x = \sqrt{2}[/tex]

So the answer to question 3 is [tex]\sqrt{2}[/tex], or approximately 1.4142

Hope this helped

Answer:

I think 180

Step-by-step explanation:

I think 180 because it looks like M+n are supplimetary angles.

Sorry if this is wrong.