What is the volume of this rectangular prism?

Answer:

g^−1(7) = 6

h^−1(x) = x/2 + 3/2

(h^−1 ∘ h)(3) = 3

Step-by-step explanation:

If

g(6) = 7

Then

g^−1(7) = 6

h(x) = 2x - 3

Isolate x:

2x = h(x) + 3

x = h(x)/2 + 3/2

Replace x with h^−1(x) and h(x) with x:

h^−1(x) = x/2 + 3/2

We know that:

(h^−1 ∘ h)(x) = x

then:

(h^−1 ∘ h)(3) = 3

Answer:

The expected ratio: 8/60 = x/2400

=> The number of flawed wrenches in a batch of 2400:

x = 2400*8/60 = 320

Answer:

25%

Step-by-step explanation:

Answer:

13.34

Step-by-step explanation:

Answer:

15 miles is the answer, I hope this helps

Step-by-step explanation:

1. Set up a proportion

2. Convert 2 hours to 120 minutes

3. Cross multiply then divide the remaining number in the proportion

Answer:

3/12

Step-by-step explanation:

because because blue is on the spin wheel 3 out of 12 times and 3 is as reduced fraction as you could get because it's odd

Answer:

For Figure A, dilation. Figure D, rotation. Figure B, reflection. Figure C, rotation. Figure E, translation. For the bonus: 1 to 2: translation. 2 to 3: rotation.

Step-by-step explanation:

Answer:

6/5

Step-by-step explanation:

orginal recipe=8/2=4

Amt of sugar=3/10*4=12/10=6/5

Hope it helps, Pls mark as Brainliest!!!

Answer:

First, I would check and see if she was correct. If she wasnt, I would simply show her why she was incorrect. If I was to accidently short her, I would give her the money and move on with my day. if she refused to leave after showing her that I gave her the correct amount of money, she would probably call for the manager. I'd get the manager, explain what happened, and the annoying customer would most likely get kicked out of the store.

(P.S: sorry if it was a little confusing lol)

Answer:

$223.71

Step-by-step explanation:

We are given the following information

We use the loan repayment formula

Monthly Payment, [tex]A=\dfrac{P*r(1+r)^n}{(1+r)^n-1}[/tex]

Where:

[tex]A=\dfrac{14299*\frac{0.04}{12}(1+\frac{0.04}{12})^{72}}{(1+\frac{0.04}{12})^{72}-1}\\=\$223.71[/tex]

Esperanza can expect to pay $223.71 monthly.

Explanation:

Choices C and D are in slope intercept form, and not standard form, so we can rule them out. It's been choice A and choice B.

Solve for y in choice A, and you should get y = (1/4)x-1. The slope is 1/4. The positive slope tells us the line moves uphill as you move from left to right. In contrast, x+4y = 4 has a negative slope because it solves to y = (-1/4)x+1. Therefore, choice B can be eliminated.

To confirm that choice A is the correct answer, plug in each point and see if we get a true equation. Let's start with (0,-1)

Plug in (x,y) = (0,-1)

x-4y = 4

0-4(-1) = 4 ...  replace x with 0, replace y with -1

0+4 = 4

4 = 4 ... true equation, so the point (0,-1) works

Now try the other point

x-4y = 4

4-4(0) = 4 .... plug in (x,y) = (4,0)

4-0 = 4

4 = 4 ... works as well

Both points make the equation true, so they are both on the same line.

Answer:

Option C.

Step-by-step explanation:

It is given that each pair of polygon is similar.

From the given figure it is clear that,

[tex]\angle E=\angle B=83^\circ[/tex]

[tex]\angle F=\angle C=69^\circ[/tex]

[tex]\angle G=\angle D=129^\circ[/tex]

[tex]\angle H=\angle A=79^\circ[/tex]

Corresponding angles of similar figures are congruent. So,

[tex]EFGH\sim BCDA[/tex]

Corresponding sides of similar figures are proportional.

[tex]\dfrac{GH}{DA}=\dfrac{HE}{AB}[/tex]

[tex]\dfrac{6.4}{3.2}=\dfrac{9.6}{4x}[/tex]

[tex]2=\dfrac{9.6}{4x}[/tex]

[tex]8x=9.6[/tex]

[tex]x=1.2[/tex]

The value of x is 1.2 units.

[tex]AB=4x=4(1.2)=4.8[/tex]

[tex]CB=6x-2=6(1.2)-2=7.2-2=5.2[/tex]

Scale factor is

[tex]k=\dfrac{EF}{BC}=\dfrac{10.4}{5.2}=2[/tex]

Therefore, the correct option is C.

Answer:

SSS

Step-by-step explanation:

We know 2 of the sides are equal

The thirds side is the same length by the reflexive property since it is the same side

The triangles are congruent by SSS or the side side side postulate

SA of half of this cylinder:

1/2*2pi(3)^2+1/2*2pi*3*25

9pi+75pi

84pi cm^2 OR 263.89 cm^2

Answer:

multiply the numerator by the other numerator and denominator by the other denominator

1/2×2/4=2/8=1/4

HOPE YOU FOUND IT HELPFUL , PLEASE MARK AS BRAINLIEST

Answer:

3127

Step-by-step explanation:

YES

The volume of the given composite figure is 312π mm³

Given is a composite figure, having two solids, a cone and a hemisphere,

We need to find the volume of the solid, so for the same, we simply need to add the volumes of the cone and the hemisphere,

= 1/3 π r² h + 2/3 π r³

= 1/3 π r²[h+2r]

= 1/3 π 36[12+14]

= 312 π

Hence, the volume of the given composite figure is 312π mm³

Learn more about the volumes, click;

https://brainly.com/question/13338592

#SPJ7

Answer:

The answer is C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Function (c) has a domain of x ≥ 3.  (Your " >3" does not match the problem statement.)

Justification:  for x ≥ 3, the quantity under the radical sign is ≥ 0, as it must be.

Answer:

E

E is the only one that ends with 70 and is also all multiples of 6.

Step-by-step explanation:

the answer should be 18

Answer:

Area = Big one - small one = 4 x (3 + 2 + 1) - 3 x 2 = 24 - 6 = 18 cm2.

=> Option B is correct.

Hope this helps!

:)

Answer:

a = 4 and b = - 30

Step-by-step explanation:

Expand the left side and compare like terms on both sides, that is

(x + 2)(x - 3)(x + 5) ← expand the first pair of factors using FOIL

= (x² - x - 6)(x + 5) ← distribute

= x³ + 5x² - x² - 5x - 6x - 30 ← collect like terms

= x³ + 4x² - 11x - 30

Compare like terms with x³ +ax² - 11x + b

4x² and ax² ⇒ a = 4

+ b and - 30 ⇒ b = - 30

The requried simplified values of a and b are given as 4 and -30 respectively.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Given expression,
(x+2)(x-3)(x+5) = x³+ax²-11x+b
(x + 2)[x² +2x -15 ] = x³+ax²-11x+b
x³ +4x² -11x - 30 = x³+ax²-11x+b

Comparing both sides,
a = 4 and b = -30

Thus, the requried simplified value of a and b are given as 4 and -30 respectively.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

Answer:

I believe the answer is 37.5 (37 1/2)

Step-by-step explanation:

First you convert 7 1/2 to a decimal to make it easier (7.5) then multiply 7.5 by 5 to get 37.5 , then you convert that back to fraction which would be 37 1/2

Hope this helps!!

The area of the room is 150 square ft if the room is 7 1/2 inches long and 5 inches wide, option third is correct.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

We have length of the room = 7 1/2 = 15/2 inches

Width of the room = 5 inches

Area of the room = (15/2)(5) = 75/2 square inches

Scale: 1/2 in = 1 ft

1/4 square inches = 1 square ft

1 square inches = 4 square ft

= (75/2)×4

= 150 square ft

Thus, the area of the room is 150 square ft if the room is 7 1/2 inches long and 5 inches wide, option third is correct.

Learn more about the rectangle here:

https://brainly.com/question/15019502

#SPJ5

Answer:

50%

Step-by-step explanation:

The mean ideally should be in the exact middle

Answer:

72

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Answer:

Julie has 6 photos that she wants to rearrange.

Two of them are fixed at the middle position.

=> There are 4 photos left for rearranging.

=> This is the permutation with n = 4, k = 4.

=> The number of ways Julie can arrange the photos:

    N = 4 x 3 x 2 x 1 = 24 ways

Hope this helps!

:)

Answer:

= 3 3/5 yards

Step-by-step explanation:

If 1 piece = 3/5 yard

What about 6 pieces = ?

= (6 x 3/5) ÷ 1

= 18/5 ÷ 1

= 18/5

= 3 3/5 yards

Answer:

A. 30

Step-by-step explanation:

Because it showed up the most

Answer:

Mode is 30

Option A.

Step-by-step explanation:

Hope the rest helps if you need it :)

Answer:

2

Step-by-step explanation:

Answer:

The person above me correct, The answer is 2

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

set up the equation

(8x-3)=(5x+6)

then solve for x by adding 3 on both sides and subtracting 5x from both sides to get x by its self

you end up with

3x=9

divide 9 by 3 and theres your answer

x=3

90 + 12/5 x 60=90 + 144 +100= 334

so 334 would be your answer

The number of minutes after Abe begins for the three of them to finish painting the room is; 344 minutes

We are told that Abe can paint the room in 15 hours.

Converting to minutes gives; 15 × 60 = 900 minutes

If the area of the room to be painted is x.

Then area painted per minute is; x/900

Now Bea paints 50% faster than Abe. Thus, rate bee can paint per minute is; 1.5x/900

Now,coe can paint twice as fast as Abe. Thus, rate coe can paint per minute is; 2x/900

Abbey works alone for the first hour and half. Thus, this is 90 minutes. Area covered by him in 90 minutes = (x/900) × 90 = x/10

x/10 + (x/900)t + (1.5x/900)t = x/2

Multiply through by 900 to get;

90x + xt + 1.5xt = 450x

Divide through by x to get;

90 + t + 1.5t = 450

2.5t = 360

t = 360/2.5

t1 = 144 minutes

(x/900)t + (1.5x/900)t + (2x/900)t = x/2

Multiply through by 900/x to get;

t + 1.5t + 2t = 450

4.5t = 450

t = 450/4.5

t2 = 100 minutes

Thus, total time = 144 + 100

Total time = 244 minutes

Read more at;https://brainly.com/question/21407790