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Fofino [41]
3 years ago
7

Carolina is mowing lawns for a summer job. For every mowing job, she charges an initial fee plus \$6$6 for each hour of work. He

r total fee for a 44-hour job, for instance, is \$32$32. Let F(t)F(t) denote Carolina's fee for a single job FF (measured in dollars) as a function of the number of hours tt it took her to complete it.
Mathematics
2 answers:
maksim [4K]3 years ago
8 0

Answer:

F(t)=6t+8.

Step-by-step explanation:

Let t represent number of hours.

We have been given that Carolina charges $6 for each hour of work. So amount charged for t hours of work would be 6t.

Let us find initial cost by subtracting charges for 4 hours from 32 as:

\text{Initial cost}=32-4\times 6

\text{Initial cost}=32-24

\text{Initial cost}=8

The total cost for t hours of work would be initial cost plus cost per hour: 6t+8.

Our required function would be F(t)=6t+8.

GenaCL600 [577]3 years ago
4 0

Answer:

y=8+6t

Step-by-step explanation:


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kolezko [41]

Answer:

32

Step-by-step explanation:

|-32|

Absolute values means take the positive value of

|-32| = 32

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2 years ago
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Please help me answer this <br><br> Explain you’re answer <br><br> Will give braisnlt
fgiga [73]

Answer:

b should be correct

Step-by-step explanation:

you times the amount of hours by 20 and then add the 35 into the total value of 120

5 0
3 years ago
You have a normal model. The population mean is 500 and standard deviation is 100. Which of the following options would be the c
mihalych1998 [28]

Answer:

a. N(500, 100)

Step-by-step explanation:

The normal probability distribution, with mean M and standard deviation S, can be represented in the following notation.

N(M,S).

In this problem, we have that:

Mean = 500

Standard deviation = 100

Which of the following options would be the correct way to represent the information?

a. N(500, 100)

7 0
3 years ago
3x over 2x-6 plus 9 over 6-2x
Mars2501 [29]
Answer: 3/2
Explanation:
3x/2x-6 + 9/6-2x
= 3x/2x-6 + 9/-(2x+6)
= 3x/2x-6 + -9/2x-6
= 3x/2x-6 - 9/2x-6
= 3x - 9/2x-6
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7 0
3 years ago
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Here is a triangular pyramid and its net.
bazaltina [42]

Answer:

a) Area of the base of the pyramid = 15.6\ mm^{2}

b) Area of one lateral face = 24\ mm^{2}

c) Lateral Surface Area = 72\ mm^{2}

d) Total Surface Area = 87.6\ mm^{2}

Step-by-step explanation:

We are given the following dimensions of the triangular pyramid:

Side of triangular base = 6mm

Height of triangular base = 5.2mm

Base of lateral face (triangular) = 6mm

Height of lateral face (triangular) = 8mm

a) To find Area of base of pyramid:

We know that it is a triangular pyramid and the base is a equilateral triangle. \text{Area of triangle = } \dfrac{1}{2} \times \text{Base} \times \text{Height} ..... (1)\\

{\Rightarrow \text{Area of pyramid's base = }\dfrac{1}{2} \times 6 \times 5.2\\\Rightarrow 15.6\ mm^{2}

b) To find area of one lateral surface:

Base = 6mm

Height = 8mm

Using equation (1) to find the area:

\Rightarrow \dfrac{1}{2} \times 8 \times 6\\\Rightarrow 24\ mm^{2}

c) To find the lateral surface area:

We know that there are 3 lateral surfaces with equal height and equal base.

Hence, their areas will also be same. So,

\text{Lateral Surface Area = }3 \times \text{ Area of one lateral surface}\\\Rightarrow 3 \times 24 = 72 mm^{2}

d) To find total surface area:

Total Surface area of the given triangular pyramid will be equal to <em>Lateral Surface Area + Area of base</em>

\Rightarrow 72 + 15.6 \\\Rightarrow 87.6\  mm^{2}

Hence,

a) Area of the base of the pyramid = 15.6\ mm^{2}

b) Area of one lateral face = 24\ mm^{2}

c) Lateral Surface Area = 72\ mm^{2}

d) Total Surface Area = 87.6\ mm^{2}

3 0
3 years ago
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