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9966 [12]
2 years ago
8

5. WORK The table below shows how

Mathematics
1 answer:
pav-90 [236]2 years ago
7 0

Answer:

For 7 hours of work, Lu will get paid $35.

Step-by-step explanation:

For each hour she works, Lu earns $5. So, I did $5 * 7 hours, which is $35 :)

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Consider the following.x = t − 2 sin(t), y = 1 − 2 cos(t), 0 ≤ t ≤ 8πSet up an integral that represents the length of the curve.
sweet [91]

The length of the parametric curve (call it <em>C </em>) is given by

\displaystyle\int_C\mathrm ds=\int_0^{8\pi}\sqrt{\left(\frac{\mathrm dx}{\mathrm dt}\right)^2+\left(\frac{\mathrm dy}{\mathrm dt}\right)^2}\,\mathrm dt

We have

x=t-2\sin t\implies\dfrac{\mathrm dx}{\mathrm dt}=1-2\cos t

y=1-2\cos t\implies\dfrac{\mathrm dy}{\mathrm dt}=2\sin t

Now,

\left(\frac{\mathrm dx}{\mathrm dt}\right)^2+\left(\frac{\mathrm dy}{\mathrm dt}\right)^2=5-4\cos t

so that the arc length integral reduces to

\displaystyle\int_0^{8\pi}\sqrt{5-4\cos t}\,\mathrm dt

which has an approximate value of 53.4596.

8 0
2 years ago
I need answers for these geometrical things<br> Yeah
Hunter-Best [27]
I really don't even know this this app literally
only gives you like 2 answers at a time.
7 0
2 years ago
Jacky spent 53% of all her money to buy a computer game. How much did the game cost, if Jacky had $120 before buying the game?
Keith_Richards [23]
The game cost 63.6$, because 53% of 120 is 63.6
5 0
3 years ago
Read 2 more answers
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steposvetlana [31]

Answer:

Its 6/3

Step-by-step explanation:

8 0
3 years ago
The graph of the function C(x) = −0.34x2 + 12x + 62 is shown. The function models the production cost, C, in thousands of dollar
Virty [35]

Answer:

0 ≤ x < 1.12 and 34.18 < x ≤ 39.87

Step-by-step explanation:

Let

x ----> is the number of tires produced, in thousands

C(x) --->  the production cost, in thousands of dollars

we have

C(x)=-0.34x^{2} +12x+62

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

The graph in the attached figure

we know that

Looking at the graph

For the interval [0,1.12) -----> 0\leq x

The value of C(x) ----> C(x) < 75

That means ----> The production cost is under $75,000

For the interval (34.18,39.87] -----> 34.18 < x\leq 39.87

The value of C(x) ----> C(x) < 75

That means ----> The production cost is under $75,000

Remember that the variable x (number of tires) cannot be a negative number

therefore

If the company wants to keep its production costs under $75,000 a reasonable domain for the constraint x is

0 ≤ x < 1.12 and 34.18 < x ≤ 39.87

7 0
3 years ago
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