Answer:
The coefficients are;
1,28,378 and 3,276
Step-by-step explanation:
For the binomial expansion, when we talk of the coefficients, we mean the whole numbers that stands before the alphabets
For example, the coefficient of x in 2x is 2
Back to the question;
(x + y)^28
= 28C0 x^28y^0 + 28C1 X^27y^1 + 28C2 x^26y^2 + 28C3 x^25y^3 + ..........
So the coefficients we are looking for are;
28C0 = 1
28C1 = 28
28C2 = 378
28C3 = 3,276
Kindly note that 28C0 is read as 28 combination zero and so on
Answer:
Step-by-step explanation:
The value of t must not be one that makes the denominator zero, hence must not be 8.
X takes values: { 3, 4, 5 }
where: P ( X = 3 ) + P ( X = 4 ) + P ( X = 5 ) = 1
For X = 3 we have : BBB or GGG.
P ( X = 3 ) = ( 1/2 * 1/2 * 1/2 ) * 2 = 1/8 * 2 = 2 / 8 = 1/4
P ( X = 4 ) = ( 1/2 * 1/2 * 1/2 * 1/2 ) * 6 = 6 /16 = 3/8
P ( X = 5 ) = ( 1/2 * 1/2 * 1/2 * 1/2 * 1/2 ) * 12 = 12 / 32 = 3/8
1 / 4 + 3 / 8 + 3 / 8 = 8 / 8 = 1
Answer:
The average rate of change of f(t) from t = 3 seconds to t = 5 seconds is -80 feet per second.
Step-by-step explanation:
The function that models the height of the ball is:

At t=3, 
At t=5, 
The average rate of change is simply the slope of the secant line connecting.
and
.
The average rate of change



Answer:
Part A 73 Part B 113
Step-by-step explanation: