4/5 to get a rational number bc it would be 5. hope it helps.
Answer:
(a) 120 square units (underestimate)
(b) 248 square units
Step-by-step explanation:
<u>(a) left sum</u>
See the attachment for a diagram of the areas being summed (in orange). This is the sum of the first 4 table values for f(x), each multiplied by 2 (the width of the rectangle). Quite clearly, the curve is above the rectangle for the entire interval, so the rectangle area underestimates the area under the curve.
left sum = 2(1 + 5 + 17 + 37) = 2(60) = 120 . . . . square units
<u>(b) right sum</u>
The right sum is the sum of the last 4 table values for f(x), each multiplied by 2 (the width of the rectangle). This sum is ...
right sum = 2(5 +17 + 37 +65) = 2(124) = 248 . . . . square units
Answer:
Collage = Bad lol
Step-by-step explanation:
Formula:
V = 1/3 * pi * r^2 * h
Plug in what we know:
V = 1/3 * 3.14 * 3^2 * 4
V = 37.68cm^3
So the volume is 37.68cm^3 which rounds to 37.7cm^3.
Answer:
part C. 3x + 2y <u>< </u>30, 5x + 7y <u><</u> 105
Step-by-step explanation:
Part 1:
spends 3 hours making each type X (3x)-each type x will take 3 hours so as the number of type x increases, the hours will increase by 3.
spends 2 hours making each type Y (2y)-each type y will take 2 hours so as the number of type y increases, the hours will increase by 2.
Part 2:
he can spend up to 30 hours each week making carvings. (<u><</u>30)-because he cannot spend more than 30 hours
Therefore, He has to spend 30 hours or less to make type X and type Y.
3x + 2y <u>< </u>30
Part 3:
His materials cost him $5 for each type X carving. (5x)-each type x will take $5 so as the number of type x increases, the cost will increase by 5.
His materials cost him $7 for each type Y carving, (7y)-each type y will take $7 so as the number of type y increases, the cost will increase by 7.
Part 4:
he must keep his weekly cost for materials to $105 or less (<u><</u>105)-total cost cannot be more than $105.
Therefore, the total cost of making x and y should be $105 or less.
5x + 7y <u><</u> 105
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