Answer:
a. 3942 kWh
b. $473.04
c. 1314 kWh
d. $157.68
Step-by-step explanation:
<h3>a. </h3>
There are 1000 W in 1 kW, so 450 W = 0.450 kW. The energy used per day is ...
(0.45 kW)(24 h) = 10.8 kWh . . . . energy per day
Then in a 365-day year, the energy used is
(365 da/yr)(10.8 kWh/da) = 3942 kWh/yr
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<h3>b.</h3>
At the rate of $0.12/kWh, the cost of running the pump is ...
($0.12/kWh)(3942 kWh/yr) = $473.04/yr
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<h3>c.</h3>
Switching the pump off for 1/3 of the time will save 1/3 of the energy found in part (a):
1/3(3942 kWh) = 1314 kWh . . . . energy saved by switching off the pump
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<h3>d.</h3>
The savings will be 1/3 of the cost of running the pump full time:
1/3($473.04/yr) = $157.68/yr
The equation represents two equivalent expressions [ similar sides ]
Hope this helps!
<span>Sometimes true.
This deals with the definition of range, mean, and mode.
Range = difference between the smallest and largest number
Mean = average. Just add up all the numbers together and divide by the number of numbers in the list.
Mode = The number that occurs the most frequently.
Now for an example where two lists of numbers that have the same range and mean, but don't have the same mode
list_1 = {1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 10}
range = 9
mean = 5.27
mode = 3
list_2 = {1, 2, 3, 4, 4, 4, 6, 7, 8, 9, 10}
range = 9
mean = 5.27
mode = 4
So the above 2 lists show a case where the range and mean match exactly, but they don't have the same mode.
Now for two different lists where their mode does match.
list_1 = {1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 10}
Range = 9
Mean = 5.27
Mode = 3
list_2 = {1, 2, 3, 3, 3, 4, 5, 8, 9, 10, 10}
Range = 9
Mean = 5.27
Mode = 3
So as you can see, a 2 sets of data may have the same same and same mean and will only sometimes have the same mode.</span>
The expression 4(y + 6) would = 4y + 24
Answer:
pentagon have 5 sides, 5 symmetry lines.
So your answer is Option C.
