Answer:
Step-by-step explanation:
Given the explicit function as
f(n) = 15n+4
The first term of the sequence is at when n= 1
f(1) = 15(1)+4
f(1) = 19
a = 19
Common difference d = f(2)-f(1)
f(2) = 15(2)+4
f(2) = 34
d = 34-19
d = 15
Sum of nth term of an AP = n/2{2a+(n-1)d}
S20 = 20/2{2(19)+(20-1)15)
S20 = 10(38+19(15))
S20 = 10(38+285)
S20 = 10(323)
S20 = 3230.
Sum of the 20th term is 3230
For the explicit function
f(n) = 4n+15
f(1) = 4(1)+15
f(1) = 19
a = 19
Common difference d = f(2)-f(1)
f(2) = 4(2)+15
f(2) = 23
d = 23-19
d = 4
Sum of nth term of an AP = n/2{2a+(n-1)d}
S20 = 20/2{2(19)+(20-1)4)
S20 = 10(38+19(4))
S20 = 10(38+76)
S20 = 10(114)
S20 = 1140
Sum of the 20th terms is 1140
To solve this problem, you need to use the Phythagorean theorem c^2 is equal to the sum of a^2 and b^2. If a less than or equal to b and b is less than or equal to c or a^2 plus b^2 is greater than c^2 then it is an acute angle.
Y=x is the answer alone, since it only crosses the origin
The amount of milk containing 6% butterfat and 1% butterfat are 260 gallons and 65 gallons respectively.
<u><em>Explanation</em></u>
Suppose, the amount of milk containing 6% butterfat is 
gallons
As the amount of mixture of milk should be 325 gallons, so the amount of milk containing 1% butterfat will be: 
gallons
Given that, the mixture of milk is containing 5% butterfat. So, the equation will be....
So, the amount of milk containing 6% butterfat is 260 gallons and the amount of milk containing 1% butterfat is (325-260) gallons = 65 gallons.
Answer:
Step-by-step explanation:
You would simply change the x value s to its opposite and keep the y values the same.
