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enot [183]
2 years ago
14

The function f(x) = xπ−−√ gives the diameter, in inches, of a proposed spherical sculpture with a surface area of x square inche

s. The artist making the sculpture wants to know how the diameter changes if the surface area is increased. What is the average rate of change for the function as the surface area changes from 12.6 in.2 to 28.3 in.2? Round your answer to the nearest hundredth of an inch.
Mathematics
1 answer:
natka813 [3]2 years ago
3 0

Answer:

The average rate of change of f(x) = 3.14 inches⁻¹

The change in f(x) = 49.32 in

Step-by-step explanation:

The surface area of the spherical sculpture = x and its diameter f(x) = πx.

The average rate of change of f(x) as x changes is df(x)/dx = π = 3.14

Now the change in diameter Δf(x) = df(x) = (df(x)/dx)dx = πdx  

dx = Δx = 28.3 in² - 12.6 in² = 15.7 in²

df(x) = π × 15.7 = 49.32 in

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djyliett [7]

Answer:

11 adult tickets

Step-by-step explanation:

I guess you want the number of adult tickets sold.

That is 20% of 55

= 0.20*55

= 11 (answer)

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2 years ago
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Tyrone’s hourly wage is $18 and his net pay is 72% of his earnings. Tyrone spends about $1,800 on his monthly expenses. If Tyron
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18 x 40 = 720 per week.....720 x 4 = 2880 per month earnings

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2 years ago
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Suppose we have a group of 10 light users and 10 heavy users. what is the probability that exactly 3 of the 20 users are hiv pos
dmitriy555 [2]

Answer: The answer is 30%.


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We have the following four possible cases -

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(iii) 2 are light users and 1 is a heavy user.

(iv) All 3 are heavy user.

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4 0
2 years ago
Choose the function whose graph is given by:
loris [4]
<h2>Answer:</h2>

y=3sec\left(\frac{1}{2}x\right)

<h2>Step-by-step explanation:</h2>

The graphs of sec(x) can be obtained from  the graph of the cosine function using the reciprocal identity, so:

sec(x)=\frac{1}{cos(x)}

But in this problem, the graph stands for the function:

y=3sec\left(\frac{1}{2}x\right)

Because the period is now 4π as indicated and for x=0 in the figure and this can be proven as follows:

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Also, for \ x=1 \ then \ y=3 as indicated in the figure and this can be proven as:

y=3sec\left(\frac{1}{2}x\right) \\ \\ y=\frac{3}{cos(0.5x)} \\ \\ y=\frac{3}{cos(0.5(0))} \\ \\ y=\frac{3}{1}=3

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2 years ago
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Answer:

Step-by-step explanation:

Given that,

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Answer

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4. The total weight of the base ball is 2.1 pounds.

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