What is the inverse
he function g(x) = 5(x-2)

Answer:

The answer is D 477 in.2

Step-by-step explanation:

The surface area of the composite figure is 333 sq. in.

The correct answer is an option (2) 333 in²

"It is a three-dimensional geometric shape with a polygon as its base and the lateral surfaces as triangles which meet at a common point."

"It is a three-dimensional geometric structure which has six faces that are rectangles."

"A figure that consists of two or more geometric shapes."

A = length × width

A = 1/2 × base × height

For given example,

A rectangular prism and a square pyramid were joined to form a composite figure.

The composite figure would have nine faces with four triangular faces and five rectangular faces.

Surface area of the composite figure would be the sum of surface area of  all nine faces.

The dimensions of the rectangular base the composite figure are length of 9 inches, width of 9 inches.

Using the formula for an area of the rectangle,

⇒ A1 = 9 × 9

⇒ A1 = 81 square inches

The surface area of the larger vertical rectangular faces is same.

So, A2 = 2 × (area of the larger vertical rectangular faces)

The dimensions of the larger vertical rectangular faces 9 inches × 5 inches.

⇒ A2 = 2 × (9 × 5)

⇒ A2 = 2 × 45

⇒ A2 = 90 square inches

Similarly, the surface area of the smaller vertical rectangular faces is same.

So, A3 = 2 × (area of the smaller vertical rectangular faces)

The dimensions of the smaller vertical rectangular faces 9 inches × 5 inches

⇒ A3 = 2 × (9 × 5)

⇒ A3 = 2 × 45

⇒ A3 = 90 square inches

The four triangular faces are identical.

Let A4 be the total surface area of four triangular faces.

⇒ A4 = 4 × (area of triangular face)

⇒ A4 = 4 × (1/2 × base × height)

⇒ A4 = 4 × (1/2 × 9 × 4)

⇒ A4 = 4 × 18

⇒ A4 = 72 square inches

So, the surface area of the composite figure is,

⇒ A = A1 + A2 + A3 + A4

⇒ A =  81 + 90 + 90 + 72

⇒ A = 333 sq. in.

Therefore, the surface area of the composite figure is 333 sq. in.

The correct answer is an option (2) 333 in²

Learn more about pyramid and rectangular prism here:

brainly.com/question/24046619

#SPJ2

Answer:

The cost of renting will be the same for 200 miles.

Step-by-step explanation:

Let n the number of miles and C be the cost. We can represent the cost equations for each companies:

A: C = 12 + 0.09n

B: C = 8 + 0.11n

They want to know when the cost will be the same, so we can set the above 2 equations equal to each other and solve for n:

12 + 0.09n = 8 + 0.11n

0.02n = 4

n = 200

Answer: I don't want to be rude but, you're not helping me at all.

Step-by-step explanation:

Answer:

The painter paint the room by himself in 12h.

Step-by-step explanation:

If we consider that the room is the distance that the painter and his friend need to paint, then each person will have a painting speed and if we sum them they will finish the room in 8 hours. If we call the speed of the painter "x" and the his time "tx", while his friend will be "y" and his time will be "ty". We can apply each case to the average speed formula:

Both working together:

speed = distance / time

x + y = room / 8

The friend alone:

y = room / ty

The painter alone:

x = room / tx

Therefore:

(room/tx) + (room/ty) = room/8

1/tx + 1/ty = 1/8

(tx + ty)/tx*ty = 1/8

8*tx + 8*ty  = tx*ty

Since tx = ty - 12, we have:

8*ty - 96 + 8*ty = ty² - 12*ty

ty² - 12*ty - 16*ty + 96 = 0

ty² - 28*ty + 96 = 0

ty = 4 or ty = 24

Since tx = ty - 12, ty can only be 24, because if it was 4, then the painter time would be negative and that is impossible. So we have:

ty = 24

tx = 24 - 12 = 12

The painter paint the room by himself in 12h.

The painter to paint the room by himself in 12 hours

Let

Friend

x = room / time taken

Painter

y = room / time taken

painter and friend

x + y = room / 8

(room/friend time ) + (room/painter time) = room/8

1/friend time + 1/painter time = 1/8

(friend time + painter time)/friend time × painter time = 1/8

8 × friend time + 8 × painter time =friend time × painter time

Since friend time = painter time - 12, we have:

8 × painter time - 96 + 8 × painter time = painter time² - 12 × painter time

Painter time² - 12 × painter time - 16 × painter time + 96 = 0

painter time² - 28 × painter time + 96 = 0

Pt = 4 or = 24

Since friend time = painter time - 12,

Painter can is 24, because if it is 4, then the painter time would be negative and that is impossible.

So,

Painter = 24

Friend time = 24 - 12 = 12

Therefore, the painter paint the room by himself in 12 hours

Learn more about work done:

https://brainly.com/question/18762601

Answer:

Mean of the distribution shown in picture:

M = sum of all elements/number of elements

M = (2 + 6 + 4 + 2 + 0 + 1 + 6 + 4 + 2 + 1)/10 = 2.8

=> Option D is correct

(3 is closest number to mean = 2.8)

Hope this helps!

:)

Answer:11in

Step-by-step explanation:

4*5.5=22/2=11

Hope I helped

Answer:

11in.2

Step-by-step explanation:

Answer:

5 cubes

Step-by-step explanation:

15/3=5

Answer:

5

Step-by-step explanation:

5/3=15

Answer:

D y= ax^2 + bx+c = 0

Step-by-step explanation:

The standard form of a quadratic equation is

ax^2 + bx+c = 0

x = -b/2a is the equation for the line of symmetry

a quadratic is a parabola, but that is not the standard form

vertex is the minimum or maximum of the parabola

Answer:

1/52

Step-by-step explanation:

There is only one 8 of diamonds in a deck of 52 cards.  The deck is properly shuffled, so every card has an equal probability of being selected.  So the probability is 1/52.

Answer: B

Step-by-step explanation:

38 height

-16 is the time

Answer:

32   (Answer D)

Step-by-step explanation:  

  -1

(4   )(2^3 / 16)

or:

  1            8*16

------- * ------------ = 32   (Answer D)

  4            1

Answer:

D

Step-by-step explanation:

Answer:

-19

Step-by-step explanation:

-15+ (-4)

15 + 4

19

-19

since theyre both negatives you are adding

Answer:

b =-6

Step-by-step explanation:

[tex](y^{b})^4=\frac{1}{y^{24}} \\\\y^{4b}=y^{-24}\\4b = -24\\b=\frac{-24}{4}\\b =-6[/tex]

Answer:

B , -6

Step-by-step explanation: took the quiz

Answer:

Step-by-step explanation:

This graph is a circle. The general equation for a circle is x² + y² = r², where r is the radius. In this case, the radius is 3 because √9 = 3. Also, the center is (0,0) because the circle is not translated. Therefore, the graph is a circle with center (0,0) and radius 3. If you still need help, the y-intercepts are (0,±3) and the x-intercepts are (±3,0). Hope this makes sense!

Answer:

See explanation

Step-by-step explanation:

Because the formula for the volume of a cylinder is [tex]\pi r^2 h[/tex], when you multiply the radius by 2, the volume increases by [tex]2^2=4[/tex] times. Hope this helps!

Answer:

1) 1/2

2) 1/13

3)1/169

Step-by-step explanation:

not sure about the last one

correct me if i am wrong

Answer:

The rate of increase is 40%

14 - 10 = 4

4/10 = 40%

Answer:

8 days

Step-by-step explanation:

If 5 buses left Midville every day and 40 buses left in all, you have to do 40÷5=8 days

Answer: 8 days

Step-by-step explanation: 40 / 5 = 8

that is the amount of days it will take for all the buses to leave.

Answer

the answer is b. im not sure though

Step-by-step explanation:

1042 square inches is the total surface area of composite solids.

It is clear from the image that the resulting composite solid is a cuboid.

whose sides are as follows

Across the length, there are 3 blocks along the side of 7 inches each.

[tex]Length = 7 \times 3 = 21\ inch[/tex]

Width = 5 inch

Across the height, there are 4 blocks along the side of 4 inches each.

[tex]Height = 4 \times 4 = 16\ inch[/tex]

[tex]\text{Total Surface Area = } 2 (l\times w+ w \times h+ h \times l)[/tex]

We know that the total surface area of a cuboid is,

[tex]\text{Total Surface Area = } 2 (l\times w+ w \times h+ h \times l)\Rightarrow 2 (21 \times 5 + 16 \times 21 + 16 \times 5 )\\\Rightarrow 2 (105 + 336+80)\\\Rightarrow 2 \times 521\\\Rightarrow 1024[/tex]

Therefore, the total surface area = 1024 square inches.

To learn more about the surface area visit:

https://brainly.com/question/76387

#SPJ2

Answer:

66.04

Step-by-step explanation:

0.13 * 508 = 66.04

Answer:

Step-by-step explanation:

508/x=13/100

508*100=50800

50800/3=?

now do that and simplify

Answer:

x = 3

y = 8

Step-by-step explanation:

y = x + 5

y = 2x + 2

They both equal y, so:

x + 5 = 2x + 2

x + 3 = 2x

3 = x

Put the value of x into the equations:

y = 3 + 5 = 8

y = 2(3) + 2 = 8

x = 3

y = 8

Answer:

The first one is 8/12.

Step-by-step explanation:Add numerator and keep denominator same.

Answer:

5/12 + 3/12

Step-by-step explanation:

[tex]\frac{5}{12} + \frac{3}{12} = \frac{8}{12}[/tex]

This is because when adding fractions with the same denominator, you just add the numerators.

The other answer choices do not equal 8/12...

[tex]\frac{2}{4} + \frac{3}{4} + \frac{3}{4} = \frac{8}{4} = 2[/tex]

[tex]\frac{2}{3} + \frac{3}{4} + \frac{3}{5} = \frac{40}{60} + \frac{45}{60} + \frac{36}{60} = \frac{121}{60} = 2 \frac{1}{60}[/tex]

[tex]\frac{4}{6} + \frac{4}{6} = \frac{8}{6} = \frac{4}{3} = 1 \frac{1}{3}[/tex]

I hope this helps!

Answer:

1. Constant multiplicative.

2. 1.05.

Step-by-step explanation:

Their savings increase by 1.05x every year.

Answer:

p = - 11, p = 3

Step-by-step explanation:

Given

p² + 8p - 33 = 0 ( add 33 to both sides )

p² + 8p = 33

To complete the square

add ( half the coefficient of the p- term )² to both sides

p² + 2(4)p + 16 = 33 + 16

(p + 4)² = 49 ( take the square root of both sides )

p + 4 = ± [tex]\sqrt{49}[/tex] = ± 7 ( subtract 4 from both sides )

p = - 4 ± 7

Thus

p = - 4 - 7 = - 11

p = - 4 + 7 = 3

Answer:

y > 0 best describes the range of the function f(x) = 2(3)x. A function whose value is a constant raised to the power of the argument, especially the function where the constant is e

Step-by-step explanation:

Using exponential function concepts, it is found that the range of the function after it has been reflected over the x-axis is given by:

all real numbers less than 0.

It is modeled by:

[tex]y = ab^x + c[/tex]

In which:

In this problem, a reflection over the x-axis means that it was multiplied by -1, hence the range will be (-infinity, 0), hence the correct option is;

all real numbers less than 0.

More can be learned about exponential function concepts at https://brainly.com/question/25537936

Answer: Can you elpan it so I can figgure it out

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

Because the inscribed angle is 75 degrees, the angle of arc AC is 75*2=150 degrees, which is the same as the angle of its respective central angle. Hope this helps!

Answer:

problem can't be solved

Step-by-step explanation:

Answer:

idk

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

First simplify 250/10= 25

square 25= 5