Answer:
The term 2lw is independent of the height
Step-by-step explanation:
This formula is usually obtained reasoning like this: the rectangular prism has 6 faces, thus the surface area is the sum of the areas of these faces.
2 faces are l×w rectangles, so their area is lw+lw=2lw. Note that we are not using the height to compute the area, then this is the independent term.
The 4 remaining rectangles involve the height as one of their dimensions, so their areas (2hw+2lh) depend on the height.
<span>1)Consumption: 875 kWh / month
2) New rate:
- 7.5 cents / kWh for the first 600 kWh
- 13.0 cents / kWh the next 600 kWh
3) Calculation:
600 kWh * 7.5 cents/ kWh + (875 kWh - 600 kWh) * 13.0 cents / kWh.
4500 cents + 3575 cents = 8075 cents = $ 80.75, which rounded to the nearest dolar is $ 81.
Answer: option d. $81.
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Answer:
Step-by-step explanation:
1. The length of the fish a fisherman catches, f, must be at least 8 inches for him to keep it.
8 inches <_f
2. The number of days, d, of sunshine is not 32.
i don't get this one sorry
3. The value, v, of the car is less than $8,400.
v<$8,400
4. The number of people, p, that a café can seat at once is no more than 53.
p<_53 people
5. The time, t, a customer has left on a parking meter is at least 13 minutes.
t<_13 minutes
6. The bill, b, was less than $56.
b<_$56
17, and 19 might be wrong. (just which way the arrow goes)
<span>The table shows the outputs, y, for different inputs, x:
Input (x) 1 3 5 7
Output (y) 8 6 5 4
Part A: Do the data in this table represent a function? Justify your answer. (3 points)
Yes, the data in the table represent a function. The reason is that given an input (value of x), in the domain of the function (which is 1, 3, 5, 7), you can state the correspondant output (value of y) without ambiguity.
Part B: Compare the data in the table with the relation f(x) = 4x + 8. Which relation has a greater value when x = 3? (2 points)
x = 3 => f(3) = 4(3) + 8 = 12 + 8 = 20
While the image of 3 in the data is y = 6.
So, the function f(x) = 4x + 8 has a greater value when x = 3.
Part C: Using the relation in Part B, what is the value of x if f(x) = 76? Be sure to show all your work.
f(x) = 76 = 4x + 8 => 4x = 76 - 8 = 68
=> x = 68/4 = 17
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