Answer:
5040
Step-by-step explanation:
The given series is :
24 + 48 + 72 + 96 +...+ 480
The first term, a= 24
Common difference, d = 24
The last term, 
Let there are n terms in the AP.
So,

There are 20 terms in the series. The sum of 20 terms is :

So, the sum of the given arithmetic series is equal to 5040.
You can use the FOIL method when you have two binomials.
First, outer, inner, last
Answer:
The correct option is 4.
Step-by-step explanation:
The given function is

Where f(x) is height of the ball and x is the distance.
It is a polynomial function with degree 2. All polynomial functions are defined for all real numbers, therefore the mathematical domain of the function is all real numbers.

Factorize the given function.





Put f(x)=0 to find the x intercepts.

Equate each factor equal to 0.

Therefore at x=52 and -2, the graph of f(x) intersects x-axis. Before x=-2 and after x=52 the values of f(x) is negative. Height cannot be negative, therefore reasonable domain is lie between -2 to 52.
Distance cannot be negative, therefore the reasonable domain must be positive.

Therefore the reasonable domain is
and option 4 is correct.
Answer:
26.2 feet
Step-by-step explanation:
tan(50°) = h/22
h = 22 × tan(50°) = 26.2 feet
-35 ok that is the answer