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MrMuchimi
3 years ago
8

Ismael has a set of 5 solar panels and Ben has a set of 6 smaller solar panels. Each set of panels produce the same amount of en

ergy. 3 of Ismael's panels are on and producing energy. 4 of Ben's are on and producing more energy. Whose solar panels are producing more energy? Explain.
Mathematics
1 answer:
eimsori [14]3 years ago
5 0

9514 1404 393

Answer:

  Ben's

Step-by-step explanation:

If E is the amount of energy that each full set of panels produces, then ...

  3 of Ismael's 5 panels produce 3/5E

  4 of Ben's 6 panels produce 4/6E

We can compare these fractions when they have a common denominator.

  3/5E = 18/30E . . . . energy from Ismael's panels

  4/6E = 20/30E . . .  energy from Ben's panels

  18/30 < 20/30 . . . . so Ben's panels are producing more energy

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A clock is constructed so that it keeps perfect time when its simple pendulum has a period of 1.000 s at locations where g 5 9.8
mafiozo [28]

Answer

Given,

Period of the Pendulum, T= 1 s

acceleration due to gravity, g = 9.8 m/s²

Length of Bob = 0.2482 m

Loss of time in the clock = 1.5 minutes/ day

Loss of time in 1 oscillation

   = \dfrac{1.5\times 60}{24\times 60\times 60}

   = 0.001042

Hence, time period, T = 1 + 0.001042

                                  T = 1.001042 s

a) Using Time period of oscillation formula

T = 2\pi \sqrt{\dfrac{L}{g}}

1.001402 = 2\pi \sqrt{\dfrac{0.2482}{g'}}

g' = 9.77\ m/s^2

Free fall acceleration at the clock location = 9.77 m/s²

b) Length of pendulum bob to keep it perfect time

 1 = 2\pi \sqrt{\dfrac{L}{g}}

 1 = 2\pi \sqrt{\dfrac{L'}{9.77}}

 L' = 0.2475\ m

Hence, Length of pendulum bob is equal to 0.2475 m.

7 0
3 years ago
What is the slope of the line?
spin [16.1K]

Answer: 2

Step-by-step explanation:

The slope of a line is \frac{rise}{run} (rise over run)

This means for every point you must go up/down to get your next point you divide it by every point you go right/left.

From one point to the next it goes up 2 (rise) and right 1 (run)

\frac{2}{1} = 2 so that is your slope

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2 years ago
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Elodia [21]

Answer:

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I hope this helps!

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The correct answer is John Steinbeck. He is famous for his depiction of Californian common folk lives and even won a Nobel prize for his depictions of it.
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