Answer:
80
Step-by-step explanation:
50 problems/x total = 62.5%
50/62.5=0.8 problem for each percent
0.8 * 100 percent = 80 problems
From the 8th to the 13th there are five numbers, and the difference between the 8th and the 13th is 20-12.5=7.5, so the difference between two neighboring number is 7.5÷5=1.5
from the 13th and the 25th there are 12 numbers, so the total difference is 12*1.5=18
so the 25th term is 20+18=38
Do you have a picture of the graph, but if there is a dilation there will be a small plane and a big on on the same graph and one will have a ‘ by the point letter representing it’s the 2 image
Let the cost of a lamp = x
6 lamps would cost 6x
He bought 3 lamps at 3x plus Thad 950 left.
3 lamps plus the 950
Would be the same amount as 6 lamps:
Set up an equation and solve for x:
3x + 950 = 6x
Subtract 3x from both sides:
950 = 3x
Divide both sides by 3:
X = 316.67
Each lamp was $316.67
Multiply the price of a lamp by 6:
316.67 x 6 = 1900
He had $1900

You have a rational expression whose numerator's degree is smaller than the denominator's. This tells you you should consider a partial fraction decomposition. We want to rewrite the integrand in the form


You can use the "cover-up" method here to easily solve for
. It involves fixing a value of
to make 2 of the 3 terms on the right side disappear and leaving a simple algebraic equation to solve for the remaining one.
- If
, then 
- If
, then 
- If
, then 
So the integral we want to compute is the same as

and each integral here is trivial. We end up with

which can be condensed as
