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Rudik [331]
2 years ago
5

Elaine has a business repairing home computers.She charges a base fee of $45 for each visit and $25 per hour for her labor. The

total cost c(x) for a home visit and x hours of labor is modeled by the functions rule c (x )equal 45 plus 25 x

Mathematics
1 answer:
Andrei [34K]2 years ago
8 0

Answer:

Please find the attachment.

Step-by-step explanation:

Please consider the complete question: Elaine has a business repairing home computers.She charges a base fee of $45 for each visit and $25 per hour for her labor. The total cost c(x) for a home visit and x hours of labor is modeled by the functions rule c(x)=45+25x.  Use the  function rule to make a table of values and a graph.

To make a table of values, we will take x values like 0, 1, 2, 3, 4 and substitute these values in our given function to find corresponding y-values as:

c(x)=45+25x

c(0)=45+25(0)

c(0)=45

c(1)=45+25(1)

c(1)=45+25

c(1)=70

c(2)=45+25(2)

c(2)=45+50

c(2)=95

c(3)=45+25(3)

c(3)=45+75

c(3)=120

c(4)=45+25(4)

c(4)=45+100

c(4)=145

Now, we will use points (0,45), (1,70), (2,95), (3,120) and (4,145) to graph our function. Upon graphing these points on a coordinate plane, we will get our required graph as shown in the attached file.

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a student Miss 10 problems on an English test and received a grade of 44%. If all the problems were of equal value, how many pro
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Rounded to the nearest integer, the test had 18 problems in all.

Step-by-step explanation:

Given that a student missed 10 problems on an English test and received a grade of 44%, if all the problems were of equal value, to determine how many problems were on the test the following calculation must be performed:

100 - 44 = 56

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5 0
3 years ago
A particular sawdust pile has a base diameter of 25 feet when the height is 20 feet. Find the volume of this sawdust pile when i
Artist 52 [7]

The volume of the sawdust pile is 11,039.06 ft³.

<h3>What is the volume of the pile?
</h3>

The shape of the sawdust pile would be a cone. The diameter is always proportional to its height.

Diameter = k x height

where k is equivalent to the rate of increase of the diameter with respect to the increase in height.

25= k20

k = 25 / 20

k = 1.25

Diameter when height is 30 ft = 1.25x 30 = 35.50 feet

Volume of the sawdust = \frac{1}{3}πr²h

Where:

  • π = 3.14
  • r = radius = diameter / 2 = 35.50 / 2 = 18.75
  • h = 30

\frac{1}{3} x 3.14 x 18.75² x 30 = 11,039.06 ft³

To learn more about the volume of a cone, please check: brainly.com/question/13705125

#SPJ1

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1 year ago
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