Answer:
14.5, 13, 11.5
Step-by-step explanation:
The general term (an) of an arithmetic sequence with first term a1 and common difference d is ...
an = a1 + d(n-1)
Then the 8th term is ...
a8 = a1 + d(8-1)
and the 12th term is ...
a12 = a1 + d(12-1)
So, the difference between these terms is ...
a12 -a8 = (a1 +11d) -(a1 +7d) = 4d
= (-2-4) = -6 . . . . . substituting values for a12 and a8
Then the common difference is
... d = -6/4 = -3/2
Using this, we can find a1 from a8.
4 = a1 +7·(-3/2) = a1 - 10.5
14.5 = a1 . . . . . . . add 10.5 to both sides of the equation
This is the first term. The second is this value with the common difference added:
14.5 + (-1.5) = 13
The third term is this with the common difference added:
13 + (-1.5) = 11.5
In summary, the first three terms are ...
14.5, 13, 11.5
Hello there!
4³ + 2(3 - 2)
= 64 + 2(1)
= 64 + 2
= 66
The correct answer is option C
The second part*
A variable cubed >>>>> x³
Quotient of some number and three >>> b ÷ 3
Product of an unknown value and three >>>>> 3a
Three less than a variable >>>y - 3
Three more than some number >>>> z + 3
If you have any misunderstanding, please let me know. As always, I am here to help!
Answer: a. 450
b. 7950
Step-by-step explanation:
If Cheryl earns 6% interest during the 6 years she will have
(7500*6)/100=450
450 is the interest that she received
her new balance will be
7500+450=7950
Given:
Eighteen 2.5 gallon buckets are needed to fill a cistern with water.
To find:
The constant of variation.
Solution:
If y is directly proportional to x, then


Where, k is constant of variation.
In the given problem, water in cistern (w) is directly proportional to number of buckets (n).

(Capacity of each bucket is 2.5 gallons)
Therefore, the constant of variation is 2.5.