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IgorLugansk [536]
3 years ago
9

Lindsey earns $70 for working 5 hours. How much does she earn for working 12 lawns?

Mathematics
2 answers:
chubhunter [2.5K]3 years ago
7 0

How long does it take her to do a lawn? If it took her 5 hours for 1 lawn then it would be $840 for twelve lawns.


She is getting paid $14 an hour.

Ann [662]3 years ago
6 0
I think there's something missing but I will elaborate as much as I can.

Let's find out how much she's paid an hour.

70 ÷ 5 = 14

Lindsey makes $14 an hour.

We must know how much she makes in 12 hours.

14 × 12 = 168

Lindsey earns $168.
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The circumference of a sphere was measured to be 80 cm with a possible error of 0.5 cm. A) Use differentials to estimate the max
siniylev [52]

Answer:

A) The maximum error in the calculated surface area: 25cm^2

Relative error: 0.013

B) The maximum error in the calculated volume: 162cm^2

Relative error: 0.019

Step-by-step explanation:

A) The formula for the surface area is:

A=4\pi r^2

The measured value is the circumference which is equal to:

C=2\pi r

then the radius is:

r=\frac{C}{2\pi}

Substituting in the formula of the surface:

A=4\pi(\frac{C}{2\pi})^2\\A=4\pi(\frac{C^2}{4\pi^2})\\A=\frac{C^2}{\pi}

Using the formula to calculate the error:

dy=f'(x)dx

Where x is the variable measured and y is a function of x(y=f(x)).

dA=f'(C)dC\\dA=\frac{2C^{(2-1)}}{\pi}dC\\dA=\frac{2C}{\pi}dC

We have C=80cm and dC=0.5cm

dA=\frac{2C}{\pi}dC\\dA=\frac{2(80)}{\pi}(0.5)\\dA=\frac{160}{\pi}(0.5)\\dA=50.9296(0.5)\\dA=25.4648\approx25cm^2

The relative error is the maximum error divide by the total area. The total area is: A=\frac{C^2}{\pi}=\frac{(80)^2}{\pi}=\frac{6400}{\pi}=2037.1833cm^2

\frac{dA}{A}=\frac{25.4648}{2037.1833} =0.0125\approx0.013

B) The formula for the volume is:

V=\frac{4}{3} \pi r^3

Using r=\frac{C}{2\pi}

V=\frac{4}{3} \pi r^3\\V=\frac{4}{3} \pi (\frac{C}{2\pi})^3\\V=\frac{4}{3} \pi (\frac{C^3}{8\pi^3})\\V=\frac{1}{3}(\frac{C^3}{2\pi^2})\\V=\frac{C^3}{6\pi^2}

The maximum error is:

dV=\frac{3C^{3-1}}{6\pi^2}dC\\dV=\frac{C^{2}}{2\pi^2}dC\\dV=\frac{(80)^{2}}{2\pi^2}(0.5)\\dV=\frac{6400}{2\pi^2}(0.5)\\dV=\frac{6400}{2\pi^2}(0.5)\\dV=(324.2278)(0.5)\\dV=162.1139\approx162cm^2

The calculated volume is:

V=\frac{C^3}{6\pi^2}\\V=\frac{(80)^3}{6\pi^2}\\V=\frac{512000}{6\pi^2}\\V=8646.0743

The relative error is:

\frac{dV}{V}=\frac{162.1139}{8646.0743}=0.0188\approx0.019

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2 years ago
Plz help I have been struggling on this one
tamaranim1 [39]

the first answer is 93000000 and the second answer is 240000

4 0
3 years ago
When you add 18 to 1/4 of a number. I dont need to solve it but i need to make it an equation. x equals a number. so would the a
erik [133]
Yes, that answer is right, good job.
5 0
3 years ago
Evaluate the expression for x=6<br> 4×+6
alexira [117]

Answer:

30

Step-by-step explanation:

x=6

4 by 6 =24

24 + 6 =30

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3 years ago
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Answer:

I have attached a picture of the completed graph.

The equation is k = r + 7

Kyle will be 59 when Ryan is 52.

Explanation:

Kyle's age is always seven years higher than Ryan's age.

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2 years ago
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