9514 1404 393
Answer:
(c) 1.649
Step-by-step explanation:
For a lot of these summation problems it is worthwhile to learn to use a calculator or spreadsheet to do the arithmetic. Here, the ends of the intervals are 1 unit apart, so we only need to evaluate the function for integer values of x.
Almost any of these numerical integration methods involve some sort of weighted sum. For <em>trapezoidal</em> integration, the weights of all of the middle function values are 1. The weights of the first and last function values are 1/2. The weighted sum is multiplied by the interval width, which is 1 for this problem.
The area by trapezoidal integration is about 1.649 square units.
__
In the attached, we have shown the calculation both by computing the area of each trapezoid (f1 does that), and by creating the weighted sum of function values.
Answer:
215,00.
Step-by-step explanation:
Average price = 22500
18000*2 + 28000 + 27000 + x = 22500*5
91000 + x = 112500
X = 21500
Since it is given that Boris takes x minutes to run 5 miles it means that Boris' speed will be given as: 
.
Now, if Dylan runs slower than Boris and takes 12 more minutes to complete the 5 miles run, then that would mean that Dylan takes (x+12) minutes to complete the same run.
In this case we can see the Dylan's speed will be 
.
Thus, the denominator represents the time Dylan takes to run 5 miles if he takes 12 minutes more than Boris.
Therefore, out of the given options, the second option is the correct option.
Answer:
Step-by-step explanation:
Given that,
The radius of cylinder, r = 1/6 inch
The height of the cylinder, h = 5/7 inch
We need to find the volume of the cylinder. The formula for the volume of a cylinder is given by :
So, the volume of the cylinder is equal to 
.
Step-by-step explanation:
a. (0.60x + 0.70y)- 50 = 10
<=> 0.60x + 0.70y = 60
b. (x+y) = 5(x-y)
x+y=5x-5y
<=> 4x - 6y = 0
