The formula for the sum of n terms in an arithmetic progression is:
S = n/2 * (2a + (n-1)d)
Here, the common difference, d, is 8 and the first term, a, is 1. Substituting these into the formula, we get:
S = n/2 * (2*1 + 8(n - 1))
S = n + 4n² - 4n
S = 4n² - 3n
The answer is A.
Out of 8 men, 4 can be selected and lined up in (8 x 7 x 6 x 5) = 1,680 ways.
But within that number, each group of 4 appears in (4 x 3 x 2) = 24 orders.
So there are (1,680 / 24) = 70 different groups of men.
Out of 5 women, 3 can be selected and lined up in (5 x 4 x 3) = 60 ways.
But within that number, each group of 3 appears in (3 x 2) = 6 orders.
So there are (60 / 6) = 10 different groups of women.
Each different group of 70 men can be joined by any of the 10 groups
of women. So the total number of possible subcommittees is (70 x 10) = 700 .
If you mean 2x=40 x=20
but if you mean x^2=40 i think its x=80
Answer:
x,y ⇒x+10, y+10
Step-by-step explanation:
from looking at the graphs we can see there is only horizontal and vertical translations
take any point, for example the point C and it's transformed counterpart C'
and determine the change in x and y position
the point is translated 10 right and 10 up
so from x,y ⇒x+10, y+10
Answer:
There are 157.48 inches in 4 meters.