A right rectangular prism has a base with sides 6 cm and 8 cm. If the volume of the prism is 624 cm^3, find the height of the prism.

Answer:

The answer is 23 I just took this test and got it right

Step-by-step explanation:

Answer: 23

Step-by-step explanation:

Answer:

s

Step-by-step explanation:

Problem 1

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Explanation:

We have 5 males and 3 females, so there are 5+3 = 8 mice total. The probability of selecting a male is 5/8. After that male is chosen, there are 5-1 = 4 of them left out of 8-1 = 7 total. This subtraction happens because the first mouse selected is not replaced. The probability of picking another male is 4/7.

Multiplying these fractions leads to the answer

(5/8)*(4/7) = (5*4)/(8*7) = 20/56 = 5/14

Note: to reduce 20/56 into 5/14, you divide both parts by the GCF 4.

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Problem 2

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Explanation:

The events "selecting two males" and "selecting at least one female" are complementary events. One or the other, but not both, must happen.

If we let

then we can say

P(A) + P(B) = 1

P(B) = 1 - P(A)

P(B) = 1 - (5/14)

P(B) = (14/14) - (5/14)

P(B) = (14-5)/14

P(B) = 9/14

Note how P(A) = 5/14 is the result from problem 1.

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Problem 3

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Explanation:

The probability of selecting a male is 5/8. After the male is chosen, there are 8-1 = 7 mice left. The probability the second mouse is female is 3/7 since there are 3 female mice out of 7 left total.

We get this result after multiplying the values:  (5/8)*(3/7) = 15/56

Now consider that the first mouse is female. The probability of this is 3/8. The probability that the second mouse is male is 5/7.

The fractions multiply to (3/8)*(5/7) = 15/56. We get the same result as before due to the numerators swapping places, but not much else happens. So we have a sort of symmetry going on here.

The last step is to add the two results we got:

(15/56)+(15/56) = (15+15)/56 = 30/56 = 15/28

Or you could compute it like this

2*(15/56) = (2*15)/56  = 30/56 = 15/28

The '2' is to signify there are two ways to select exactly one male and exactly one female, where the order doesn't matter.

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Here's another way we can get the answer.

The probability we get both males is 5/14 found back in problem 1.

The probability we get both females will follow the same idea as problem 1, and we would compute (3/8)*(2/7) = 6/56 = 3/28

Add those fractions:  (5/14) + (3/28) = (10/28) + (3/28) = 13/28

Now consider the events

Events C and D are complementary events.

We calculated that P(C) = 13/28, which means

P(D) = 1 - P(C)

P(D) = 1 - (13/28)

P(D) = (28/28) - (13/28)

P(D) = (28-13)/28

P(D) = 15/28

9514 1404 393

Answer:

  D, B

Step-by-step explanation:

Price per pound is found by dividing dollars by pounds.

  Store A: $9/(3 lb) = $3.00 /lb

  Store B: $9.75/(3 lb) = $3.25 /lb

  Store C: $12.40/(4 lb) = $3.10 /lb

  Store D: $14.50/(5 lb) = $2.90 /lb

Part A: The lowest price per pound is $2.90 per pound at store D.

Part B: The highest price per pound is $3.25 per pound at store B.

Answer:

y = - [tex]\frac{1}{4}[/tex] (x - 1)²(x + 2)(x + 6)

Step-by-step explanation:

The roots from the graph are

x = - 6 , then factor is (x + 6)

x = - 2 , then factor is (x + 2)

x = 1 ( multiplicity 2 ) , then factor is (x - 1)² then

y = a(x - 1)²(x + 2)(x + 6) ← a is a multiplier

To find a substitute any point on the graph into the equation

Using (0, - 3 ), then

- 3 = a(- 1)²(2)(6) = 12a ( divide both sides by 12 )

- [tex]\frac{1}{4}[/tex] = a

Then

y = - [tex]\frac{1}{4}[/tex] (x - 1)²(x + 2)(x + 6)

Answer:

Table B

Step-by-step explanation:

Answer:

300a + 450b ≤ 6000

Step-by-step explanation:

Given:

Cost of electric mower = $300

Cost of gas mower = $450

Total number of mower = 25

Cost of total mower is at least = $6,000

Find:

Number of each mower equation

Computation:

Number of electric mower = a

Number of gas mower = b

So,

Equations

a + b ≤ 25 ........ Equation 1

300a + 450b ≤ 6000 .......  Equation 1

Answer: false

Step-by-step explanation: because you set the temp not the liquids.

Answer:

9.

h(x)=-x-1

let y =-x-1

interchanging role of x & y

x=-y-1

y=-x-1

h-¹(x)=-x-1

again

f(x)=(2-3x)/2

let

y=(2-3x)/2

interchanging role of x & y

x=(2-3y)/2

2x-2=-3y

y=(2-2x)/3

f-¹(x)=(2-2x)/3

Given function are not inverse of each other.

10.

f(x)=-x+3

let y=-x+3

interchanging role of x & y

x=-y+3

y=3-x

f-¹(x)=-x+3

equal to g(x)=-x+3

Given function are inverse of each other.

Answer:

Step-by-step explanation:

Call h(x) = y (It's easier to see).

y = -x - 1

The first step is always to interchange x and y

y = -x - 1

-x = y - 1

Solve for y

-x + 1 = y

If I understand the question, these two (f(x) and h(x)) are not inverses.

10 is a bit tricky. An inverse can invert into itself: This is called an involution. But if they are differently labeled, I'm not sure. I don't think that this is exactly what is men by an involution. Something like y = x would be. But you have 2 different inverses. I'm not sure that this qualifies.

y = x + 3      

g = x + 3

x = y + 3

x - 3 = y

Answer:

D.)

Step-by-step explanation:

(3x4)/2 = 6

(3x4)/2 = 6

5x11= 55

4x11= 44

3x11= 33

= 146

Answer:

(a)3-2=1 (b) 4-3=1 (c) 12-1-1=10

Answer:

RS/XY = ST/YZ

Step-by-step explanation:

They need to follow the same direction and same length in comparision to the rest. From what I can see, that seems to be the one that does that best.

1. The Agent Earned $6,303  

First, the real estate agency will earned 5.5%

5.5/100 * $382,000 = $21,010

Then, the agent earns 30% of $21,010

30/100 * $21,010 = $6,303

2. Basically, we're setting up an equation where Option A and Option B are the same amount.

For option A, you are making 23 dollars each hours, for 40 hours. (40*23)

For option B, you are making 4% of your sales. We're looking for how much she sells, so we can write that as x. (.04x)

Set the 2 options as equal and solve for x.   so x is  920(.04x

sorry if wrong it was really hard

3. If 90% are women, 10% are men.

If x is the total amount of people.

.1x = 320

Solve x from here.

FIANNLY IM DONE

Answer:  I just took the test, and the answer is 'Assign each taxpayer in town a number and then randomly select 500 of these numbers.'

Step-by-step explanation: Happy Pride Month!!

Answer:

x = 11.74739484

Step-by-step explanation:

To solve this problem, you can use trig functions. We are given an angle and the side next to it, and we are looking for the side opposite it. The perfect trig function to use for this would be tangent:

tan(θ) = opposite / adjacent

We can substitute the values we already have:

tan(40) = x / 14

x = 14 * tan(40)

We can evaluate this using a calculator and get:

x = 11.74739484

Answer:

the hypotenuse is 10

Step-by-step explanation:

6^2 + 8^2 = 100

square root 100 and its 10

Answer:

18 m^2

Step-by-step explanation:

Answer:

get brainly pictures in the appp store it should help you

Step-by-step explanation:

Answer:

144°

Step-by-step explanation:

First, find the area of the circle, with the formula A = [tex]\pi[/tex]r²

Plug in 10 as the radius, and solve

A = [tex]\pi[/tex]r²

A = [tex]\pi[/tex](10²)

A = 100[tex]\pi[/tex]

Using this, create a proportion that relates the area of the sector to the degree measure of the arc.

Let x represent the degree measure of the arc of the sector:

[tex]\frac{40\pi }{100\pi }[/tex] = [tex]\frac{x}{360}[/tex]

Cross multiply and solve for x:

100[tex]\pi[/tex]x = 14400[tex]\pi[/tex]

x = 144

So, the degree measure of the sector arc is 144°

Answer:

We know that

Area = πr²

Area = 3.14 × (10)²

Area = 314/100 × 100

Area = 314 cm²

Now

40π/314 = x/360

40 × 3.14/314 = x/360

125.6/314 = x/360

0.4 = x/360

0.4 × 360 = x

144 = x

[tex] \\ [/tex]

Answer:

X=86/17

Step-by-step explanation:

Answer:

x=46/17

Step-by-step explanation:

Let's solve your equation step-by-step.

3/ 4 (x−2)+ 1/ 3 (2x+5)=4

Step 1: Simplify both sides of the equation.

3/ 4 (x−2)+ 1/ 3 (2x+5)=4

( 3/ 4 )(x)+( 3/ 4 )(−2)+( 1/ 3 )(2x)+( 1/ 3 )(5)=4 (Distribute)

3/ 4x+ −3/ 2 + 2/ 3 x+ 5/ 3 =4

( 3/ 4 x+ 2/ 3 x)+( −3/ 2 + 5/ 3 )=4 (Combine Like Terms)

17/ 12 x+ 1/ 6 =4

17/ 12 x+ 1/ 6 =4

Step 2: Subtract 1/6 from both sides.

17/ 12 x+ 1/ 6 − 1/ 6 =4− 1/ 6

17/ 12 x= 23/ 6

Step 3: Multiply both sides by 12/17.

( 12/ 17 )*( 17/ 12 x)=( 12/ 17 )*( 23/ 6 )

x= 46/ 17

Answer:

8yd×10yd=80yd

80yd÷2=40yd²

Step-by-step explanation:

Hope it helps :)

Answer:

$442.75

Step-by-step explanation:

$11/hour x 40.25 hours/week=$442.75

Answer:

$1.33

Step-by-step explanation:

multiply 6 by 1.54 to see how much he spent on sausage rolls

subtract that from the total ($22.54)

divide by 10 to see how much each pepperoni roll costs

Answer:

$1.33

Step-by-step explanation:

1.54x6=9.24

22.54-9.24=13.30

13.30/10=1.33

Answer:

a. subtract 6 from both sides

Step-by-step explanation:

Given the algebraic expression;

-5c + 6 = 4

First of all, we would subtract 6 from both sides. This would eliminate the "6" on the left side.

-6 - 5c + 6 = 4 - 6

-5c = -2

5c = 2

Dividing both sides by 5, we have;

c = 2/5

Answer:

y = .01x * 2^x

y = 50000x

Hope that this helps!

Answer:

-1 5

Step-by-step explanation: