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lys-0071 [83]
3 years ago
6

For similar light intensity, compact fluorescent bulbs use about 25% of the energy of incandescent bulbs. Let's say you replaced

a bulb of 100 W with a fluorescent bulb and that your utility charges $0.15/kW-hour. How many dollars would you save in electricity in the 10,000−hour lifetime of the bulb?

Mathematics
1 answer:
Nikolay [14]3 years ago
6 0

Answer:

$112.50¢

Step-by-step explanation:

please kindly check the attached file for explanation

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Find the value of the integral that converges.<br> ∫^-5_-[infinity] x^-2 dx.
Bingel [31]

Answer:

\int_{-\infty}^{-5} x^{-2}dx= \frac{1}{5} + \lim_{x\to -\infty} \frac{1}{x} =\frac{1}{5}

Because the \lim_{x\to -\infty} \frac{1}{x} =0

The integral converges to \frac{1}{5}

Step-by-step explanation:

For this case we want to find the following integral:

\int_{-\infty}^{-5} x^{-2}dx

And we can solve the integral on this way:

\int_{-\infty}^{-5} x^{-2}dx= \frac{x^{-2+1}}{-2+1} \Big|_{-\infty}^{-5}

\int_{-\infty}^{-5} x^{-2}dx= -\frac{1}{x} \Big|_{-\infty}^{-5}

And if we evaluate the integral using the fundamental theorem of calculus we got:

\int_{-\infty}^{-5} x^{-2}dx= \frac{1}{5} + \lim_{x\to -\infty} \frac{1}{x} =\frac{1}{5}

Because the \lim_{x\to -\infty} \frac{1}{x} =0

The integral converges to \frac{1}{5}

8 0
3 years ago
HELP MEE IN MATHHHH pleasee
evablogger [386]

Answer:

44.7

Step-by-step explanation:

I guessed based on what the side looks like so if it's wrong I"m so so sorry

7 0
2 years ago
I am drivin 45 miles per hour how far can I drive in 2 hours and 20 minutes
Orlov [11]
45/60= .75 miles each minute
45x2= 90 miles in 2 hours
.75×20=15 miles in 20 min

90+15=105 miles in 2 hours n 20 min
4 0
3 years ago
Read 2 more answers
Pls help meh
LekaFEV [45]

Answer:

A≈254.47ft²

Step-by-step explanation:

A=πr2=π·92≈254.469ft²

7 0
2 years ago
Evaluate the geometric series or state that it diverges. one ninth 1 9plus+startfraction 7 over 81 endfraction 7 81plus+startfra
olasank [31]
The series converges, and its sum is 1/2.

If r > 1, the series is divergent.  If r < 1, the series is convergent.  In our sequence, r, the common ratio we multiply by to get the next term, is 7/9; therefore it is convergent.

To find the sum of a convergent series, we use the formula
a/(1-r), where a is the first term and r is the common ratio.  We then have
1/9÷(1-7/9) = 1/9÷2/9 = 1/9×9/2 = 1/2
6 0
3 years ago
Read 2 more answers
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