Consider the following expanded powers of (a + b)n, where a + b is any binomial and n is a whole number. Look for patterns.
Each expansion is a polynomial. There are some patterns to be noted.
1. There is one more term than the power of the exponent, n. That is, there are terms in the expansion of (a + b)n.
2. In each term, the sum of the exponents is n, the power to which the binomial is raised.
3. The exponents of a start with n, the power of the binomial, and decrease to 0. The last term has no factor of a. The first term has no factor of b, so powers of b start with 0 and increase to n.
4. The coefficients start at 1 and increase through certain values about "half"-way and then decrease through these same values back to 1.
Answer:
(a). 15
(b). 78
Step-by-step explanation:
Growth of the population of a fruit fly is modeled by
N(t) = 
where t = number of days from the beginning of the experiment.
(a). For t = 0 [Initial population]
N(0) = 
= 
= 
= 15
Initial population of the fruit flies were 15.
(b).Population of the fruit fly colony on 11th day.
N(11) = 
= 
= 
= 
= 
= 77.82
≈ 78
On 11th day number of fruit flies colony were 78.
the area of the surface of this design is 31 in long
So
x=hours
y=pay
use a piecewise function maybe
for x≤40, use y=21x
for x>40, use 840+1.5(21(x-40))
k, sso 46>40 so
840+1.5(21(46-40))
840+1.5(21(6))
840+1.5(126)
840+189
1029
A. 840+1.5(21(x-40))
B. $1029
