Split up the interval [0, 3] into 3 equally spaced subintervals of length 
. So we have the partition
[0, 1] U [1, 2] U [2, 3]
The left endpoint of the 
-th subinterval is
where 
.
Then the area is given by the definite integral and approximated by the left-hand Riemann sum
Using the Pythagorean triples, one side is 3 units long, one side is 4 units long, and one side is 5 units long. To find the area of a right triangle, multiply length times width. Then divide total by two.
So,
(3•4)/2= 6 units
After scaling units, you should get 24 units.
What is a composite number between 60 and 100? The answer is 62
c.) $3.38
Original price = $2.60
* It is the basis of increase thus, 100%
* The increase is 30%, thus, 100% + 30% = 130%
To get the new price, simply multiply the original price to 130%
$2.60 * 130% = $3.38
Another way of solving the problem is getting the equivalent of 30% and adding it to the original price.
$2.60 * 30% = $0.78
$2.60 + $0.78 = $3.38
Answer: x < 8/9
Step-by-step explanation:
The equation is 4 * (2x +1) * 4.5 = 50, since the volume is found by multiplying the length, width, and height together, and the =50 part is because our volume can't go above 50 cubic units.
We can simplify 4 * (2x+1) * 4.5 by multiplying 4 and 4.5, which is 18, and then multiplying both 2x and 1 by 18. We get 36x + 18, and we put in the =50, so it is 36x+18=50.
Next, we can subtract 18 from both sides of the equation, giving us 36x = 32.
We then divide the equation by 36 so that we have the x by itself, and we get x = 32/36, which can be simplified to 8/9.
What we're left with is x = 8/9, meaning plugging in 8/9 for the equation would give us 50. However the problem says that the volume must be below 50, so our actual answer is x < 8/9.
