Find the value of 8 to the 3rd power divided by 8 squared multiplied by 4 squared.

Answer: f(x) = 1^(x + 1)

Step-by-step explanation:

we have that h(x) = 1^x

and h(x) = f(g(x))

This mean that we are evaluating the function f(y) in the point y = g(x)

where g(x) = x - 1

then:

f(g(x) = f(x - 1) = h(x) = 1^x

then we should have that:

f(x) = 1^(x + 1)

then:

f(x - 1) = 1^(x - 1 + 1) = 1^x

Answer:

The point after the reflection: [tex](-4,-8)[/tex]

Step-by-step explanation:

-Statement: If you reflect the point [tex](x,y)[/tex] across x-axis or the y-axis, then the [tex]x[/tex] and the [tex]y[/tex] of the point can change either positive, negative or the same, depending on where the point is located on a graph.

-So, if you reflect the point [tex](-4,8)[/tex] across x-axis, then the point after the reflection, would be [tex](-4, -8)[/tex] :

The following point: [tex](-4, 8)[/tex]

The point after the reflection: [tex](-4,-8)[/tex]

Answer:

5 + 3x = 41

x = 12 miles

Step-by-step explanation:

A taxi cab company charges a flat amount of $5.00 plus a rate of $3.00 per mile traveled.

Let x is the number of miles traveled.

If the total cost of the fare was $41.00 then

5 + 3x = 41     eq. 1

The above equation can be used to determine the number of miles traveled.

Solving the equation for x,

5 + 3x = 41

3x = 41 - 5

3x =  36

x = 36/3

x = 12 miles

Therefore, 12 is the total number of miles traveled if the fare was $41.00.

Answer:

1.5707

Step-by-step explanation:

i solved it using the formula :

[tex]2\pi \times r \frac{45}{360} [/tex]

i dont understand your question

Answer:

8

Step-by-step explanation:

you multiply 1 1/3 by 6

Answer:

C. 7.2

Step-by-step explanation:

Hope it helps you in your learning process.

Answer: 84 ft

Step-by-step explanation:

Volume of a cube is Volume = S^3, where S is the length of one side.

Volume = 2 1/4^3 = 2 1/4 x 2 1/4 x 2 1/4 = 11 25/64 in^3

The answer is D.

Answer: 30 3/8

Step-by-step explanation:

Answer:

Calvin will paint the entire area in 92 minutes or 1 hour 32 minutes.

Step-by-step explanation:

First of all we know that the total surface are that Calvin is painting is 115 square feet.

The rate at which Calvin is painting refers to the surface area he covers every 2 minutes. This is 2.5 square feet every 2 minutes.

we can set up a relation to solve this problem

If Calvin paints [tex]2.5 ft^{2}[/tex] in 2 minutes

He will paint [tex]115 ft^{2}[/tex] in [tex]x[/tex] minutes

By cross multiplying, we have [tex]x= \frac{2 \times 115}{2.5}=92 minutes[/tex]

Hence Calvin will paint the entire area in 92 minutes or 1 hour 32 minutes.

Answer:

Find two points on the line and write them out: (x1,y1) (x2,y2)

Use this formula: y2-y1/x2-x1

The answer you get is the slope which is "m" in y=mx+b

Now in y=mx+b plug in one point's y into y and x into x. 

Find b

Answer:

Use points from the graph to create a table of data points. Then find a rule for the data in the table and write an equation that represents that rule. Lastly, check that the equation holds true for other data points in the table or graph.

Step-by-step explanation:

Answer:

No, a trapezoid is not a rectangle.

This is because trapezoids by definition have only one pair of parallel sides while rectangles must have at least two sets of opposite parallel sides. Also, trapezoids do not have 90 degrees at every angle like rectangles do.

Answer:

2/3

Step-by-step explanation:

There are 3 odd numbers in a dice which equals 1/2. Then there is 1/6 of a chance of rolling a 3. So it would be 1/2 + 1/6=4/6 which simplifies to 2/3.

Answer:

18 sprinkles

Step-by-step explanation:

20% of 90 cupcakes

20% = 1/5

1/5 of 90

1 x 90 = 90

90 / 5 = 18

Answer:

18 cupcakes

Step-by-step explanation:

If there were 90 cupcakes and 20% of the cupcakes had sprinkles on top, the number of cupcakes with sprinkles on top would be

⇒ 20% of 90 cupcakes

⇒ [tex]\frac{20}{100} * 90 cupcakes[/tex]

⇒ (2*9) cupcakes

⇒ 18 cupcakes

Hope this helps!!!

Question:

Let [tex]p=x^2-2[/tex] .

Which equation is equivalent to in terms of p ?

Answer:

[tex]p^2+18=9p[/tex] or [tex]p^2+18 - 9p = 0[/tex]

Step-by-step explanation:

Given

[tex]p=x^2-2[/tex] .

Required

Find the equation equivalent to [tex](x^2-2)^2+18=9x^2-18[/tex]

To get the equation equivalent to the given expression, we simply simplify [tex](x^2-2)^2+18=9x^2-18[/tex] and solve in terms of p

[tex](x^2-2)^2+18=9x^2-18[/tex]

Factorize expression on the right hand side

[tex](x^2-2)^2+18=9(x^2-2)[/tex]

Substitute [tex]x^2 - 2[/tex] for p

[tex](x^2-2)^2+18=9(x^2-2)[/tex] becomes

[tex]p^2+18=9p[/tex]

Hence, equation [tex]p^2+18=9p[/tex] is equivalent to [tex](x^2-2)^2+18=9x^2-18[/tex]

Solving further to get the value of p

[tex]p^2+18=9p[/tex]

Subtract 9p from both sides

[tex]p^2+18 - 9p = 9p - 9p[/tex]

[tex]p^2+18 - 9p = 0[/tex]

Rearrange

[tex]p^2 - 9p +18 = 0[/tex]

Factorize

[tex]p^2 - 6p - 3p +18 = 0[/tex]

[tex]p(p - 6) - 3(p -6) = 0[/tex]

[tex](p - 3)(p -6) = 0[/tex]

p - 3 = 0 or p - 6 = 0

p = 3 or p = 6

Answer:

p^2-18+9p=0

Step-by-step explanation:

Khan

Answer:

-4

Step-by-step explanation:

Answer: im pretty sure it is a domain

Step-by-step explanation:

Answer:

Cone Volume = (PI * radius^2 * height) / 3

96 cc = (PI * radius^2 * 14) / 3

(96 * 3) / (PI * 14) = radius^2

radius ^ 2 = 6.5480890872

radius = 2.5589234235

diameter = radius *2 = 5.117846847  cm

diameter = 5.12 cm (rounded)

Step-by-step explanation:

Step-by-step explanation:

Area= 1/2 * b*h

h= 3 2/3 = 11/3

Area = 1/2*2*11/3 = 11/3 square feet or 3 3/2 square feet

1.rs 2.yoy can just put the q with the t and when you subtract it can problabbly go to thr letter a

Answer:

1. R and S

2. Both equidistant from 0

3. Move six spots to the left of T because each spot is 1/4, and 1 1/2 = 6/4, and it is a subtraction problem.

Step-by-step explanation:

Answer:

[tex](-2,\, 4)[/tex].

Step-by-step explanation:

To find the vertex of this parabola, start by rewriting it in the vertex form [tex]f(x) = a\, (x - h)^2 + k[/tex].

Start with the original expression:

[tex]f(x) = (x + 2)^2 + 4[/tex].

Note that in the vertex form, the sign in front of [tex]h[/tex] should be a minus. However, in [tex]f(x) = (x + 2)^2 + 4[/tex], the sign in front of [tex]2[/tex] is a plus. Since adding

[tex]f(x) = (x - (-2))^2 + 4[/tex].

Therefore:

Hence, [tex](-2,\, 4)[/tex] is the vertex of this parabola.

Answer:

9,450,000 red cars

Step-by-step explanation:

35,000,000/100=350,000

27*350,000=9,450,000

Step-by-step explanation:

x2 - 4x +4 -4 + y2 + 20y +100 -100 + 55=0

(x-2)2 + (y+10)2 =49

center:(2,-10)

r=7

Answer:

its B= 3xy^2 4 sqrt 4x^2 on edge

Step-by-step explanation:

The simplest form is B,) 3xy²^4√4x²

A square root of a number is a value that, when multiplied by itself, gives the number.

Example: 4 × 4 = 16, so a square root of 16 is 4.

Here,  Given that,^4√324x^6y^8

=^4√3×3×3×3×4×x^4×x²×y²×y²×y²×y²

=3xy²^4√4x²

Hence, The simplest form is B,) 3xy²^4√4x²

To learn more on square root click:

https://brainly.com/question/29286039

#SPJ3

Answer:

x+ 4x-85 = 90

Step-by-step explanation:

The two angles are complementary so they add to 90 degrees

x+ 4x-85 = 90

Combine like terms

5x - 85 = 90

Add 85 to each side

5x = 175

Divide by 5

5x/5 =175/5

x =35

Answer:

x (4-85)  =  -81x

Step-by-step explanation:

Equation: x (4-85)

Answer: x (4-85)

1: Find the missing side

2: add the other numbers

Hope this helps.

Answer:

Option (4). 25%

Step-by-step explanation:

The graph attached shows the exponential growth.

Let the graphed function is y = [tex](1+\frac{r}{100})^{t}[/tex]

Here 'r' = Rate of growth

t = Duration of time in years

y = enrollments after time 't' years

Graph shows at time 't' = 0 or initially number of enrollments = 20

After 8 years number of enrollments will be

120 = [tex]20(1+\frac{r}{100})^{8}[/tex]

[tex]\frac{120}{20}=(1+\frac{r}{100})^{8}[/tex]

6 = [tex](1+\frac{r}{100})^{8}[/tex]

log 6 = [tex]8\text{log}(1+\frac{r}{100})[/tex]

0.77815 = [tex]8\text{log}(1+\frac{r}{100})[/tex]

[tex]\text{log}(1+\frac{r}{100})[/tex] = 0.0972689

[tex](1+\frac{r}{100})=1.251[/tex]

[tex]\frac{r}{100}=0.251[/tex]

r = 25.1%

r ≈ 25%

Therefore, Option (4) will be the answer.

Answer:

25%

Step-by-step explanation:

did test and it was right

Hey there!

Another word for the mean is the average. To find the mean in a set of numbers, you add up the numbers and then divide by the number of numbers!

39+82+74+96+64+52+74=481

Now, we see that we have seven numbers. So, we divide by seven!

481/7≈68.71 (rounded to nearest hundredth)

I hope that this helps!

Answer:

She needs 301.8 in² of tissue paper.

Step-by-step explanation:

In order to calculate the amount of tissue paper she needs to make 21 hats, we need to find the area of each hat and multiply it by the total number of hats she wants to make.

Since the Vietnamese conical hats are hollow and don't have a base, we need to find the area of the it's lateral walls, this is given by the following expression:

lateral area = pi*r*l

r = d/2 = 16/2 = 8 in

We were given the height, but we need the slant height, therefore:

l = sqrt(r² + h²) = sqrt(8² + 9²) = sqrt(64 + 81) = sqrt(145)  = 12.041 in

Then the lateral area is:

lateral area = pi*8*12.0141 = 301.8 in²

She needs 301.8 in² of tissue paper.

Answer:

25

2:3

Step-by-step explanation:

2/5 were sold out

5/5 - 2/5 = 3/5

That means 3/5 were not sold out

p = performances

there were 15 that were not sold out

3/5 * p = 15

Multiply each side by 5/3

5/3 *3/5 p = 15*5/3

p = 25

There were 25 performances

sold out to not sold out

2/5 : 3/5

Multiply by 5

2: 3