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Pavlova-9 [17]
3 years ago
15

Find the arc length of the partial circle.

Mathematics
1 answer:
Lynna [10]3 years ago
4 0

Answer:

7.5π

Step-by-step explanation:

First we should get the entire circle's circumference with 2rπ

2 * 5 * π = 10π

Now, because whats missing is a 90° arc, which is 1/4 of the circle, we can say the the rest of it is 3/4 of the circumference.

3/4 * 10π = 7.5π

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Speed (mph)
nevsk [136]

Answer:

C

Step-by-step explanation:

In this question, we are asked to calculate the interquartile range of the speed values given in the question.

Firstly, we need to order the values of the speed from the lowest to the highest. That would be;

55 58 65 66 70 72 81

Now, we determine the first quartile position which is Q1. That would be (N+1)/2 where N is the number of data points which is 7 according to this question

We have (7 +1)/4= 8/4= 2

The value at the 2nd position counting from left is 58

For the third quartile , Q3, we have 3 * (N+1)/4 = 3 * 2 = 6

The value at the 6th position counting from left is 72

mathematically, the formula for the interquartile range is Q3 - Q1 = 72 - 58 = 14

6 0
4 years ago
The rule in this pattern is add 3. Write the next 4 terms of the pattern. What do you observe about the terms in the pattern? Ex
Rashid [163]

Answer:

term 1 = 5

term 2 = 8

term 3 = 11

term 4 = 14

term 5 = 17

term 6 = 20

term 7 = 23

every time the terms go up, 3 is added

7 0
3 years ago
Read 2 more answers
Hi, can you help me with this problem?A manufacturer has a monthly fixed cost of $42,500 and a production cost of $6 for each un
Reika [66]

Given:

Fixed cost = b = $ 42,500

Production cost (Variable cost) /unit = m = $ 6/ unit

Let 'x' represent the number of unit, therefore the variable cost will be

6x

a) The cost function will be the sum of the fixed cost and the variable cost.

C(x)=6x+42500

b) The revenue function is the amount the product is sold per unit.

Recall: 'x' represents the number of units.

Therefore,

11\times x=11x

Hence, the revenue function R(x) is

R(x)=11x

c) The profit function is the difference between the revenue function and the cost function.

P\mleft(x\mright)=11x-\mleft(425000+6x\mright)=5x-42500

Hence, the profit function is

P\mleft(x\mright)=5x-42500

d) Let us compute the profit (loss) values when the units are 6000 and 11000

Using the profit function

P(x)=5x-42500

Therefore,

\begin{gathered} P(6000)=5(6000)-42500=30000-42500=-\text{ \$12500} \\ P(11000)=5(11000)-42500=55000-42500=\text{ \$12500} \end{gathered}

Hence,

\begin{gathered} P(6000)=-\text{ \$12500  (which is a loss)} \\ P(11000)=\text{ \$12500  (this is a profit)} \end{gathered}

4 0
1 year ago
Eddie O'Neil found a sports car advertised at a local used-car dealership for
ludmilkaskok [199]

Answer:

Eddie O'Neil found a car advertised at a local used-car dealership for $34,000. The car is clean and in good condition. Its average retail value is $33,400.

Step-by-step explanation:

4 0
3 years ago
Nolan makes soup. He divides each batch equally into thirds to give away. Each family that he makes soup for gets 1 third of a b
Lorico [155]
1/3 for each family

5 families to have soup

So Nolan would need to make 2 batches of soup
8 0
3 years ago
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