Answer:
The given series can be written as
4
∑ (5)^i
i = 0
We know that the series is
1+5+25+125+625
This is equal to
(5)^0 + (5)^1 + (5)^2 + (5)^3 + (5)^4
Thus,
For i from 0 to 4,
We get the general representation.
Answer:
Firstly you need to put the equation in form of. y =ax+b
Let us do it
We have
2x-2y=18
-2y=18-2x
-y=(18) /2 - (2x)/2
-y =9-x
Mutiply by - to remove it beside y
Y=-9+x
Which is y=x-9
Slope =a=1
Yintercept=b=-9
Answer:
3 and 5/8
Step-by-step explanation:
1 1/2 + 2 1/8 = 29/8
Simplify to 3 5/8
Answer: The correct answer is $85.56
Step-by-step explanation:
If Karen gets 23.5 miles per one gallon of gas, we divide 582.8 miles by 23.5 to see how many gallons she will use to go the 582.8 miles. The answer is 24.8 gallons. (582.8/23.5=24.8)
We then multiply 24.8 ( the total amount of gallons) x $3.45 (per gallon)= $85.56 for the entire trip
Answer: a) S'(1) = 136; S'(2) = 104; S'(4) = 76;
b) S''(1) = -38; S''(2) = -26; S''(4) = -2
Step-by-step explanation:
a) S' means first derivative;
(6t³ - 45t² +180t +130) = 6t² - 50t + 180
S'(1) = 6.1² - 50.1 + 180
S'(1) = 136
S'(2) = 6.2² - 50.2 + 180
S'(2) = 104
S'(4) = 6.4² - 50.4 + 180
S'(4) = 76
b) S'' is the second derivative of S:
(6t² - 50t + 180) = 12t - 50
S''(1) = 12.1 - 50
S''(1) = -38
S''(2) = 12.2 - 50
S"(2) = -26
S"(4) = 12.6 - 50
S"(4) = -2
c) Derivative is the rate of change of a function. The first derivative is the slope of the tangent line to the graph if the function in a determined point, while the second derivative measures how the rate of change is changing.
Analysing the values, we can conclude that the sales of the product after t months is decreasing at a rate of 12.
