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
The answer is, 4 + 8 + 12 + 16 ... rule is 4n.
Explanation:
one square has 4 toothpicks, then you added 4 picks (because you started with zero squares).
4 squares have 12 toothpicks, then you added 8 toothpicks to pass from one square to 4 squeres.
If you follow that reasoing you get to realize that the additions are 4, 8, 12, 16.
Answer:
John received 10% of the overall votes.
Step-by-step explanation:
Let us assume that the number of votes John got = m
So, the number of votes Vivienne received = 3 times (John's share )
= 3 times m = 3 m
Also, The number of Votes Nassim received = 2 times ( Vivienne's share)
2 x (3 m) = 6 m
Total Votes in the grade 6
= Votes received by { John + Vivienne + Nassim}
= m + (3 m) + (6 m) = 10 m
Hence, the total number of students who voted in grade 6 = 10 m
= 
or, The percentage of John's Votes = 10%
Hence, John received 10% of the overall votes.
5 because you have to divide 60 by 12.
A c and d are the answers
