We need to get the limits first. When y = 0
0 = 64x - 8x^2
x = 0 and x = 8
The volume is
V = ∫ y dx from 0 to 8
V = ∫ (64x - 8x^2) dx from 0 to 8
V = 32x^2 - 8x^3/3 from 0 to 8
V = 682.67<span />
The average rate of change in the monthly rate per year is -$0.056 i.e decreases by 0.056 every consecutive year.
Step-by-step explanation:
Step 1; The initial value is $7.69 in 1980 and the final value is $6.13 in 2008.
Difference in values = Final value - initial value = $6.13- $7.69 = -$1.56 (the negative symbol indicates that the cost has gone down with time)
Period between the values =Final year - initial year = 2008 - 1980 = 28 years.
Step 2; To find the rate of change per year, we divide the difference in values in that given period of time by the number of years in that period.
Rate of change per year = Difference in values in that period/ no of years.
= -$1.56 / 28 = -$0.056 (the negative symbol indicates that the cost has gone down with time)
So for every year between 1980 and 2008, the price of the monthly rate for basic able TV reduced by $0.056.
Answer:
Rolling a die.
Step-by-step explanation:
A die has 6 sides for every answer and the only choice regarding the number 6 and you can roll (questions) times.
<h2>
Explanation:</h2><h2>
</h2>
The Fundamental Theorem of Algebra states the following:
<em>For</em><em> </em><em>any polynomial of degree n we will have n roots.</em>
<em />
So the general form of the equation of a polynomial is:
Since our polynomial will have exactly 11 roots, then the equation will have the following form:
Step-by-step explanation:
b(n) = b(1) + (n-1) d, where d is the difference,
d = 13-(-5) = 18
b(n) = (-5) + (n-1)(18)
= -5 +18n -18
b(n) = 18n -23
