At the car wash fundraiser jenna's team washed 14 cars in 45 minutes. if they keep up at that rate, how many cars can the team wash in 2.5 hours? how did you get the answer

Taking first summation ∑(1+3n) first

First see few terms of this series. To get first term plug n =0 in 1+3n

So for n =0,

similarly for next term plug n =1

For n = 1,

For n =2,

So on ,........and last term will be for n =4

For n =4,

So we get terms as 1,4,7,.. with constant difference of 3 between succesive terms. So its arithemetic series. Sum formula for arithmetic series is

where n is total number of terms, and are first and last term in series

So here n = 5 ( as n is from 0 till 4). so plug value of n as 5, as 1 and as 13 in sum formula

So sum of first series is 35

Similarly find sum of second series. Plug i values in 3i-5 as shown and find few terms in series

for i =2,

for i =3,

so on .... and for last term plug i as 6

for i =6,

So for sum we will plug n as 5 ( i =2,3,4,5,6 so total 5 terms), then plug as -2 and as 13 in sum formula

So sum of second series is also 35

So difference between sums of both series will be 35-35 =0

Final answer here is 0

p -> q is represented as "If you have a library card, then you can check out books"

~q -> ~p is represented as "If you cannot check out books, then you do not have a library card" This is contrapositive by definition.

q -> p is represented as "If you can check out books, then you have a library card" This is the converse

~p -> ~q is represented as "If you do not have library card, then you cannot check out books". This is the inverse

p <-> q is represented as "You have library card if and only if you can check out books". This is the biconditional.

Answer:

150 and 110

Step-by-step explanation: