If g(x) is the inverse of f(x), what is the value of f(g(2))?

Answer:The answer is A) 20 in3.

Step-by-step explanation:

Answer:the answer is 250 in3

Step-by-step explanation:

I took it on USA test prep

The expression[tex]\(2n^{-4}\)[/tex] rewritten without a negative exponent is [tex]\(\frac{2}{n^4}\)[/tex]. This means the same as [tex]\(2\)[/tex] times the reciprocal of [tex]\(n\)[/tex] raised to the fourth power.

To rewrite the expression [tex]\(2n^{-4}\)[/tex] without using a negative exponent, we'll follow these steps:

1. Understand the Negative Exponent Rule: The rule states that [tex]\(a^{-b} = \frac{1}{a^b}\)[/tex]. It means that to convert a negative exponent to a positive one, you flip the base to the denominator of a fraction.

2. Apply the Rule to the Given Expression: We apply this rule to[tex]\(2n^{-4}\)[/tex].

3. Simplify the Expression: We simplify the expression to its final form without a negative exponent.

Let's apply these steps:

Step 1: Understand the Negative Exponent Rule

- The rule [tex]\(a^{-b} = \frac{1}{a^b}\)[/tex] tells us that to eliminate a negative exponent, we place the base with the positive exponent in the denominator of a fraction.

Step 2: Apply the Rule to the Given Expression

- Apply this to [tex]\(2n^{-4}\)[/tex]. It becomes [tex]\(2 \times \frac{1}{n^4}\)[/tex].

Step 3: Simplify the Expression

- Simplify [tex]\(2 \times \frac{1}{n^4}\)[/tex] to get the final expression.

Let's simplify it.

Step 3: Simplify the Expression

After applying the negative exponent rule to [tex]\(2n^{-4}\)[/tex], the expression simplifies to [tex]\(\frac{2}{n^4}\)[/tex].

Answer:

12g + 33

Step-by-step explanation:

The equivalent form is an expression which is equal to it. It can be simplified or expanded. Here let's simplify by applying the distributive property.

3(4g + 11) = 12g + 33

This is the simplified form.

Answer:

-21.6 z^3 - 2 z + 2

Step-by-step explanation:

(-12.7z³ - 14z) + (-8.9z³ + 12z + 2)

I like to line them up vertically

  (-12.7z³ - 14z)

+ (-8.9z³ + 12z + 2)

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

-21.6 z^3 - 2 z + 2

Answer:

4

25x4=100%

1x4=4

To solve the problem we must know about Percentage.

25% of 4 is equal to 1.

A percentage is a way to describe a part of a whole. such as the fraction [tex]\dfrac{1}{4}[/tex] can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given information,

Let's assume that the number is x.

We know that when the percentage symbol is removed the number is divided by 100. so,

25% = [tex]\bold{\dfrac{25}{100}}[/tex]

Dividing the numerator 25 And the denominator by 25,

25% = [tex]\bold{\dfrac{1}{4}}[/tex]

Now, to get a percentage of any number simply multiply the number by the fraction(or decimal) form of the percentage value. So, here we will multiply the number 'x' to [tex]\bold{\frac{1}{4}}[/tex] (fraction form of 25%) to get 1.

[tex]x \times 25\% = 1\\x \times \dfrac{1}{4} = 1\\\\x = 4[/tex]

Hence, 25% of 4 is equal to 1.

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Answer: 8/15

Step-by-step explanation:

There are 15 total combinations of characters and defense tools in this game. If you randomly choose your character and tool, the probability that you will be a magic user, a user of one of the five tools, is 1 out of 15 or 0.0667.

In this game scenario, the total number of different combinations that can occur when you randomly choose your character and tool is equal to the product of the number of choices for each. We have 3 choices for characters (elf, hobbit, human) and 5 choices for defense tools (magic, sword, shield, slingshot, umbrella). Therefore, the total different combinations are 3*5 = 15. The question asks for the probability that you'll be a magic user, irrespective of the character. Since magic is one of the 5 defense tools, then, there is 1 favorable outcome that we are considering.

The number of favorable outcomes by the total number of possible outcomes is known as the probability of an event. So, we have 1 favorable outcome and 15 total outcomes. Therefore, the probability is 1/15 or approximately 0.0667.

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Answer:

Step-by-step explanation:

You need to change the denominator into a the least common denominator, 4 and 3 both have 12 in common. 12 is your new denominator but what you to the bottom you must do to the top. So when you multiply 3/4 by 3/3 you will get 9/12.

Then you want to make 4 1/3 into a improper fraction, which would be 13/3 you want to multiply this by 4 and you will get 52/12. You will then add 52/12 to 9/12 and get 61/12 or 5 1/12.

If you need any more help please let me know.

Answer:

Volume of the sphere model of earth is 321m³

Step-by-step explanation:

Parameter given:

    diameter of the sphere = 8.5m

      π = 3.14

   Volume of a sphere is given as = 4/3 π r³

      Where r is the radius of the sphere.

  From given diameter, radius = 8.5/2 = 4.25m

Therefore, imputing the parameters in the formular we have:

                           ⇒4/3 × 3.14 × 4.25³

                            ⇒1.333 ×3.14 × 76.766

Volume of the sphere model = 321.31m³ ≅ 321m³

The total number of flights delayed at several airport based on the histogram is 25.

An histogram is a graphical display of numerical data in the form of upright bars, with the area of each bar representing frequency.

Flight delayed 0 - 1 hour = 9

Flight delayed 1 - 2 hour = 3

Flight delayed 3 - 4 hour = 7

Flight delayed 4 - 5 hour = 5

Flight delayed 6 - 7 hour = 1

Total flights delayed = 9 + 3 + 7 + 5 + 1

= 25

Therefore, 25 flights were delayed.

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Answer: [tex]x^4+4x^3+6x^2+7x+2[/tex]

Step-by-step explanation:

To solve the exercise you must apply the following proccedure:

- Apply the distributive property.

- Keep on mind that when you multiply two powers with equal base, you must add the exponents.

- Add like terms.

Therefore, you obtain the following product:

[tex]=x^{(2+2)}+x^{(2+1)}+2x^2+3x^{(1+2)}+3x^{(1+1)}}+6x+x^{2}+x+2\\=x^4+x^3+2x^2+3x^3+3x^2+6x+x^2+x+2\\=x^4+4x^3+6x^2+7x+2[/tex]

The answer is: [tex]x^{4}+4x^{3}+6x^{2}+7x+2[/tex]

To find the product of the given expression, we need to apply the distributive property and then, group each like term.

The distributive property states that:

(a+b+c)(d+e+f)=a*d+a*e+a*f+b*d+b*e+b*f+c*d+c*e+c*f

Then, we have to group each like term. Like terms are the terms that have the same variable and exponent , for example:

[tex]x+x+x^{2}=2x+x^{2}[/tex]

For this case, the variable "x" has two Like terms, since both have the same exponent (1), then, we add each other in order to group term.

Also, we must remember the following power property:

Product of powers property,

[tex]a^{n}*a^{m}=a^{n+m}[/tex]

So, solving the product we have:

[tex](x^{2}+3x+1)(x^{2}+x+2)=x^{2}*x^{2}+x*x^{2}+2x^{2}+3x*x^{2}+3x*x+6x+x^{2}+x+2\\(x^{2}+3x+1)(x^{2}+x+2)=x^{2+2}+x^{1+2}+2x^{2}+3x^{2+1}+3x^{1+1}+6x+x^{2}+x+2\\(x^{2}+3x+1)(x^{2}+x+2)=x^{4}+4x^{3}+6x^{2}+7x+2[/tex]

Have a nice day!

Answer:

[tex]22-8\sqrt{5}[/tex]

Step-by-step explanation:

Since all the answer choices arent visible, i will directly give the answer.

We will use the distributive property in expanding, which is [tex](a+b)(c+d)=ac+ad+bc+bd[/tex]

So we have:

[tex](2\sqrt{5}-4 )(3\sqrt{5} +2)\\=(2\sqrt{5})(3\sqrt{5} )+2(2\sqrt{5} )-4(3\sqrt{5} )-4(2)\\=6\sqrt{5} \sqrt{5}+4\sqrt{5}-12\sqrt{5}-8\\=6(5)+4\sqrt{5}-12\sqrt{5}-8\\=30+4\sqrt{5}-12\sqrt{5}-8\\=22-8\sqrt{5}[/tex]

Note: we have used the radical property  [tex]\sqrt{a}\sqrt{a}=a[/tex] here

Answer:

22 - 8√5

Step-by-step explanation:

(2√5 - 4)(3√5 + 2)

= 2√5(3√5 + 2) - 4(3√5 + 2)

= 6√(5×5) + 4√5 - 12√5 - 8

= 6√25 + 4√5 - 12√5 - 8

=6×5 + 4√5 - 12√5 - 8

=30 - 8 + 4√5 - 12√5

= 22 - 8√5

Answer: [tex]m=-\frac{4}{5}[/tex]

Step-by-step explanation:

To calculate  the slope of the line that has the coordinates given in the problem you must use the formula shown below:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Given the points  (-2, 7) (3 , 3), when you substitute them into the eequation shown above, you obtain that the slope is the following:

[tex]m=\frac{3-7}{3-(-2)}\\m=-\frac{4}{5}[/tex]

Answer:

[tex] - \frac { 4 } { 5 } [/tex]

Step-by-step explanation:

We are given the following two points on a line and we are to find the slope of this line:

(-2, 7) and (3,3)

We know the formula of the slope is given by:

[tex] \frac { y_2 - y_1 } { x_2 - x_1 } [/tex]

Substituting the given coordinates in the above formula to get:

Slope = [tex] \frac { 7 - 3 } { -2 - 3 } = - \frac { 4 } { 5 } [/tex]

Answer:

7.8 miles

Step-by-step explanation:

The closest integers to -0.001 are 0 and -1. -0.001 lies just to the left of 0 on the number line, making 0 the nearest positive integer and -1 the nearest negative integer.

The two integers that are closest to -0.001 are 0 and -1. Since -0.001 is a negative number that is very close to zero, it lies between these two integers on the number line. The integer 0 is the closest on the positive side, and -1 is the closest on the negative side.

Answer:

x=2

Step-by-step explanation:

We want to isolate x (get x by itself)

1/8 x = 1/4

Multiply each side by 8

8*1/8 x = 1/4 *8

x = 8/4

x = 2

Answer:

2

Step-by-step explanation:

To solve this equation for x, multiply both sides by 8.  This results in:

8(1/8)x = 8(1/4), or x = 2

(8)(-4.5) is not equivalent because 8 times -4.5 results in negative value

Answer:

(8)(-4.5) would be your answer

Answer:

hey i did this on my quiz trust me

Step-by-step explanation

12,362.70 trust me i did this i just dont know exactly how to explain this

Explanation:

400 ft/ 4 m

= 100 ft/ 1 m

Answer:

it would take her 12 minutes to run 1200 ft.

she would run 1000 ft in 10 minutes given she does not slow down from fatigue

Answer:

The correct answer is four

Step-by-step explanation:

From the figure we can see that, it is a triangular pyramid.

The base is a triangle.

In the lateral surface there are 3 faces.  All the three faces are triangle shape.

Therefore the given figure consists of four faces.

All the the four faces are in triangular faces.

The correct answer is four

The given polyhedron have four faces where all four faces are in triangular faces.

In a polyhedron, faces refer to the flat surfaces or sides of the three-dimensional object.

These faces are typically polygonal regions and are connected by edges and vertices.

In the figure, the base is a triangle.

and, in the lateral surface there are 3 faces.  

Therefore. the given figure consists of four faces.

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Answer:

3n³/5m²

Step-by-step explanation:

Given in the question an expression

3m^-2 / 5n^-3

we can separate them as

3 / 5  x m^-2 / n^-3

As we know the rule of negative exponents that any nonzero number raised to a negative power equals its reciprocal raised to the opposite positive power.

Here the negative exponents are -2 and -3

so, m^-2 =1 /m²

      n^-3 =1 /n³

3 / 5 x n³/ m²

rearranging

3n³/5m²

Answer:

the system has a unique solution

Step-by-step explanation:

Start with an equation of a line in standard form,

[tex] ax + by = c [/tex]

Solve it for y to put it into the slope-intercept form:

[tex] by = -ax + c [/tex]

[tex] y = -\dfrac{a}{b}x + \dfrac{c}{b} [/tex]

The slope is -a/b.

Now look at your system of equations. The slope of the first equation is -a/b = -2/3. The slope of the second equation is -a/b = -6/5.

You have a system of two linear equations with two lines with different slopes, so the lines must intersect at a single point.

Answer: the system has a unique solution

Answer:

D) x < -15

Step-by-step explanation:

-3x - 42 >3

Add 42 to each side

-3x - 42+42 >3+42

-3x > 45

Divide each side by -3.  Remember to flip the inequality since we are dividing by a negative

-3x/-3 < 45/-3

x < -15

The answer is 1.

To find the answer you would take y/ x for the first thing in the table ( -2/1 ) then the second row of the table ( -1/2 ) then you would find out how much the points increased or decreased.

In this case y went up 1 and so did x so the slope would be 1/1 or just 1. Then check with the other points to make sure it is linear throughout then bam done. :)

There are "40 hours per week."     [unit rate means "how many of these for one of those"]

Notice how units cancel when we use the Multiplicative Identity (that is 1 -- multiply any value by 1 and it does not change):

    1  =   (40 hours)/(1 week) = (1 week)/(40 hours)        [choose the value needed to cancel units]

  120 hours

  (120 hours) * 1

  (120 hours) * (1 week)/(40 hours)

  (120/40) weeks                      [hours cancel, leaving only weeks[

     3 weeks

    5 weeks

   (5 weeks) * 1

   (5 weeks ) * (40 hours)/(1 week)

    (5*40) hours                    [note that weeks cancel]

     200 hours

Final answer:

The relationship between hours and weeks indicates a direct linear relationship, where each week is equivalent to 40 hours.

Explanation:

The relationship between the corresponding number of hours and weeks from the given sequences {0, 40, 80, 120, 160, 200, 240, 280, 320} for hours and {0, 1, 2, 3, 4, 5, 6, 7, 8} for weeks indicates a linear relationship. For every 40 hours, one week passes, which suggests that each week consists of 40 hours in this context. This can be expressed by the linear equation hours = 40 × weeks

Therefore, the required relationship is linear

Answer:

A = 81π cm²

Step-by-step explanation:

The formula for area of a circle is A = πr², where r is the radius.  The radius is half the diameter, so our radius for this problem is

18/2 = 9.    So the area is..

A = π(9²) = π(81)

  A = 81π cm²

Answer:81pi

Step-by-step explanation:

Answer:

b1= -1/2, b2= 2/7

Step-by-step explanation:

14b^2-2+3b=0

14b^2+7b-4b

7b(2b+1)-2(2b+1)=0

(2b+1)(7b-2)=0

2b+1=0 , 7b-2=0

b= -1/2 , b= 2/7

This is using the Factor Method

Answer:

(B) Start at -7 on the number line and move 11 to the right.

Step-by-step explanation:

They are negatives, but the -(-11) makes the 11 a positive.

The correct interpretation of the expression -7-(-11) is 4.

The expression -7-(-11) can be solved by following the rules of operations in mathematics, specifically the rules for subtracting negative numbers. To subtract a negative number, we can think of it as adding the positive number. So, -7 - (-11) becomes -7 + 11. Now, we can add the numbers: -7 + 11 = 4. Therefore, the correct interpretation of the expression -7-(-11) is 4.

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