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earnstyle [38]
4 years ago
6

To an order of magnitude, how many piano tuners are in New York City? The physicist Enrico Fermi was famous for asking questions

like this on oral Ph.D. qualifying examinations. His own facility in making order of magnitude calculations is exemplified in Problem 45.48. (Explain what values you are using to make your estimate.)
Mathematics
1 answer:
Olin [163]4 years ago
4 0
Suppose that the population of NYC is 10,000,000, and there're average of 3 people per household
= 3.3 million HHs
and 1 in 10 HHs  has a piano
= 330,000 pianos

on average, a piano is tuned once a year
= 330,000 tuning per year
= 6,000 tunings per week

suppose a piano tuner works 5 days a week and handling 5 pianos  a day. That will be 25 pianos a week

hence, you need 6,000/25 = 240 tuners

hope this helps



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please help! functions and relations. f(x)= square root of x-4. find the inverse of f(x) and it’s domain.
likoan [24]

ANSWER:

\:D.\text{ }f^{-1}\left(x\right)=\left(x+4\right)^2;x\ge-4

STEP-BY-STEP EXPLANATION:

We have the following equation:

f(x)=\sqrt{x}-4

The inverse is the following (we calculate it by replacing f(x) by x and x by f(x)):

\begin{gathered} x=\sqrt{f^{-1}(x)}-4 \\  \\ \sqrt{f^{-1}(x)}=x+4 \\  \\ f^{-1}(x)=(x+4)^2 \end{gathered}

The domain would be the range of the original equation, and it would be the range of values that f(x) could take, which was from -4 to positive infinity, that is, f(x) ≥ -4.

Therefore, the domain is x ≥ -4.

So the correct answer is D.

\:f^{-1}\left(x\right)=\left(x+4\right)^2;x\ge -4

4 0
1 year ago
Jenny can swim 10 laps In 5 minutes. How many laps should she swim in 1/3 of an hour?
DIA [1.3K]

1/3 of an hour is 20 minutes. If show 10 laps in 5 minutes, just divide 20 by 5, which gives you 4, then multiply 4 times 10. She can swim 40 laps in 1/3 of an hour. Hope that helps. Mark Brainliest if it does. Thank you!

4 0
3 years ago
Y & X vary directly if the constant of variation is 4 then what is the value of x when y equals 6
shepuryov [24]
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3 0
3 years ago
Given a triangle with angles of 23°, 90°, 67°.
marishachu [46]

The answer is that it's a right triangle. One angle is 90°

8 0
3 years ago
The cost of 14 gallons of gas is $19.46. How much gas could you buy with $8.70
Bogdan [553]
First, you would find out how much 1 gallon of gas would cost

You would calculate $19.46 divided by 14 gallons

Your quotient is $1.39

Then, you would divide how much money you actually have ( $8.70 ) by how much 1 gallon is ( $1.39 ) 

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But since you cannot by 1/4 a gallon, you would round your quotient down to 6

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Mark brainliest if this helped :D

7 0
4 years ago
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