Find an explicit formula for the arithmetic sequence 12, 5, -2, -9,...12,5,−2,−9,...12, comma, 5, comma, minus, 2, comma, minus,
Andrew [12]
Answer:
A(n) = 19 - 7n
Step-by-step explanation:
12, 5, -2, -9,...
First term, a = 12
Common difference, d = a2 - a1
a2 = 5
a1 = 12
Common difference, d = a2 - a1
= 5 - 12
= -7
d = -7
A(n) = a + (n - 1)d
A(n) = 12 + (n - 1) -7
= 12 + (-7n + 7)
= 12 - 7n + 7
= 12 + 7 - 7n
= 19 - 7n
A(n) = 19 - 7n
Answer:
D
Step-by-step explanation:
Since Alyssa wants to know her gas mileage, which is MILES PER GALLON, she will need to divide total miles by total gallons.
"per gallon" means per 1 unit of gallon, which we will get ONLY IF WE DIVIDE by TOTAL NUMBER OF GALLONS, hence we get "per unit of gallon".
<u>So we need to divide 243.8 miles by 7.71 gallons to get Alyssa's gas mileage.</u>
Answer choice D is right.
Answer:
133.33 meters per minute.
#FreeMelvin
Answer: P = 0.75
Step-by-step explanation:
Hi!
The sample space of this problems is the set of all the possible sales. It is divided in the disjoint sets:
We have also the set of sales of boat accesories 
, the colored one in the image.
We are given the data:
From these relations you can compute the probabilities of the intersections colored in the image:
You are asked about the conditional probability:
To calculate this, you need 
. In the image you can see that the set is the union of the two disjoint pink and blue sets. Then:
Finally:
When expanding number, we should separate the numbers according to the places like the number 275 written in expanded form 200+70+5. So, in this question we must likely done like this. The number is 39,005 the sum that is written on expanded form is 30,000+9,000+5.
