Answer:12
Step-by-step explanation:
5x/6 - 2 = 8
5x/6 = 10
5x = 60
x = 12
Step-by-step explanation:
3 - 2(b - 2) = 2 - 7b
To solve this first distribute -2 to (b - 2)
3 + (-2b + (-2) x -2) = 2 - 7b
when we simplify this it becomes:
3 + (-2b + 4) = 2 - 7b
We take (-2b + 4) out of the parenthesis:
3 - 2b + 4 = 2 - 7b
Now simplify again.
7 - 2b = 2 - 7b
Now send all the b's to one side and constants on the other.
7 - 2 = -7b +2b
5 = 5b
b = 1
For f(x) = 12/(1+x²), and subinterval width 4, you are to evaluate f(1), f(5), and f(9) and combine them according to the rule
... Integral ≈ (4/3)(f(1) + 4·f(5) + f(9)) = (4/3)(6.0000 + 4·0.4615 + 0.1463) ≈ 10.66
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Simpson's rule has you combine values of f(x) with coefficients 1, 4, 2, 4, ..., 2, 4, 1, where those values are evenly spaced at the edges of an even number of subintervals. Since we have only 3 values to combine, there are no terms that have a coefficient of 2. The entire sum is multiplied by 1/3 the subinterval width.
Answer:
Sally has been measuring the tree for 4 months
Step-by-step explanation:
The correct question is as follows;
Sally has been measuring the tree in her yard for a science project. The tree has grown 1/2 of an inch each month and grown a total of 2 inches taller. How many months has Sally been measuring this tree?
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Solution;
The tree has grown 1/2 of an inch each month and has grown a total of 2 inch taller.
We now need to know the number of months in which the measuring has been taking place.
To know the number of months, we simply need to divide the change in height which is 2 inch by the individual month growth rate which is 1/2 inch
So mathematically, that would be 2/1/2 = 2 * 2 = 4 months
