Answer:
The difference is a binomial with a degree of 6
Step-by-step explanation:
Given:
a^3b + 9a^2b^2 − 4ab^5 and a^3b − 3a^2b^2 + ab^5
Let A = a^3b + 9a^2b^2 - 4ab^5
B= a^3b - 3a^2b^2+ab^5
The difference between A and B is
A - B = a^3b + 9a^2b^2 - 4ab^5 - (a^3b - 3a^2b^2 + ab^5)
Open parenthesis
A - B= a^3b + 9a^2b^2 - 4ab^5 - a^3b + 3a^2b^2 - ab^5
= a^3b - a^3b + 9a^2b^2 + 3a^2b^2 - 4ab^5 - ab^5
= 12a^2b^2 - 5ab^5
The fist term 12a^2b^2 has 2+2=4 as a degree
The second term 5ab^5 has 1 +5 =6 as a degree
Therefore,
the answer is: The difference is a binomial with a degree of 6
Answer:
2656.31 
Step-by-step explanation:
To calculate the surface area, we need to find the area of all the faces, and add them together.
The faces of the cylinder are: the rectangular base, the curved top, and the two semicircles on the side.
Rectangular base:
A = length x width
A = 29.3 x 16.2
A = 474.66
Two semicircles:
A =
x
(I'm using the formula for a circle, because the two semicircles are identical, so together they form a circle)
radius = 29.3/2 = 14.65
A =
x 
A = 674.256 (rounded to 3 decimal places)
Curved top:
The curved top, when flattened out, becomes a rectangle with a length of 16.2. The width is equal to half the circumference of the circle formed by the two semicircles.
To find the width, use the circumference (C) formula.
C =
x diameter
diameter = 29.3
C =
x 29.3
C = 93.049 (rounded to 3 DP)
Area (of curved top) = length x width
A = 16.2 x 93.049
A = 1507.394 (rounded to 3 DP)
Surface Area
SA = 474.66 + 674.256 + 1507.394
SA = 2656.31 
Answer:
75 months is 6.25001 calendar years.
Step-by-step explanation:
Answer:
The average rate of change is 1.275
Step-by-step explanation:
The average rate of change of f(x) from x=a to x=b is given by:

The money Terry invested is modeled by the function
where x represents number of days.
The average rate of change from day 2 to day 10 is given by:

The average rate of change becomes:

