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Sunny_sXe [5.5K]
3 years ago
11

If I have a right rectangular prism with a base area of 22 units and a height of 6 units, what is the volume of this prism?

Mathematics
1 answer:
maksim [4K]3 years ago
6 0

Answer:

132 units cubed

Step-by-step explanation:

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The chairlift at a ski resort rises a total of 2600 feet from where it starts. The angle of elevation is about . How far do ride
MArishka [77]
<span>Since 3100/1.4*5280=3100/7392=24.8 degrees for the angle of the ski slope.</span>
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Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion Solve the porportion So
RideAnS [48]
Y=21/7

Explanation
7(y/7)=7(3/17)
y=7(3/17)
Multiple
y=21/7
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3 years ago
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Based on the results from part C, which two statements correctly interpret actions the business should take? If material 2 is us
Serjik [45]

The profit function is the difference between the cost and the revenue functions.

The true statement is (a) If material 2 is used, Carrie will earn a profit if she sells chairs for more than $150 each.

<h3>How to determine the true profit functions</h3>

From the complete questions, the profit functions are calculated as follows:

<u>Material 1</u>

P(x) = 5000000- 20000x - 200000x + 2000x^2

P(x) = 5000000-220000x + 2000x^2

<u>Material 2</u>

P(x) = 4000000 - 10000x - 160000x+ 1000x^2

P(x) = 4000000-170000x+ 1000x^2

<u>Material 3</u>

P(x) = 2000000 - 5000x - 54000x - 270x^2

P(x) = 2000000 -59000x - 270x^2

Next, we test the options

Option 1: When material 2 is used

A price is greater than $150 is $151.

Calculate P(151) using P(x) = 4000000-170000x+ 1000x^2

So, we have:

P(151) = 4000000-170000 * 151+ 1000* 151^2

P(151) = 1131000

P(151) is greater than 0; this represents a profit

Hence, option (1) is true

Option 2: When material 1 is used

A price is less than $50 is $49.

Calculate P(49) using P(x) = 5000000-220000x + 2000x^2

So, we have:

P(49) = 5000000-220000 * 49 + 2000* 49^2

P(49) =-978000

P(49) is less than 0; this represents loss

Hence, option (2) is false

Option 3: When material 3 is used

Calculate P(45) and P(160) using P(x) = 2000000 -59000x - 270x^2

So, we have:

P(45) = 2000000 -59000 * 45 - 270 * 45^2

P(45) = -1201750

P(45) is less than 0; this represents loss

Hence, option (3) is false

Option 1: When material 2 is used

Calculate P(30) and P(120) using P(x) = 4000000-170000x+ 1000x^2

So, we have:

P(30) = 4000000-170000*30+ 1000*30^2

P(30) = -200000

P(30) is less than 0; this represents a loss

Hence, option (4) is false

Option 2: When material 1 is used

Calculate P(40) and P(70) using P(x) = 5000000-220000x + 2000x^2

So, we have:

P(40) = 5000000-220000*40 + 2000*40^2

P(40) = -600000

P(49) is less than 0; this represents loss

Hence, option (5) is false

The above means that:

The true statement is (a) If material 2 is used, Carrie will earn a profit if she sells chairs for more than $150 each.

Read more about revenue functions at:

brainly.com/question/25638609

6 0
2 years ago
In one type of state lottery 5 distinct numbers are picked from 1,2,3,...,40 uniformly at random.
belka [17]

Answer: a) 1 / ⁴⁰C₅ b)  0.33

Step-by-step explanation:

a) The sample space consists of all numbers 1-40.

Since any of the number can be taken from the sample space  so each of five 5 distinct numbers we take has equal probability of occurring. So probability of each 5 numbers set we take will be equal to 1 / ⁴⁰C₅

b)

If we pick exactly 3 even number then that means other 2 will be odd.

So, we have sample space of 40 numbers out of which 20 are even and 20 are odd.

Now we have to pick 3 even out of 20 and 2 odd out of 20.

Probability = ²⁰C₃ * ²⁰C₂ / ⁴⁰C₅

Probability= 0.33

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3 years ago
Which expression is equivalent to 2(x-3) +4x+3
Lemur [1.5K]

Answer:

6x - 3

Step-by-step explanation:

2(x-3) + 4x + 3

= 2x - 6 + 4x + 3 (Multiply out)

= 2x + 4x - 6 + 3 (Rearrange)

= 6x - 3

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3 years ago
Read 2 more answers
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