Letting n approach infinity results in the undefined "infinity over infinity."
Differentiate numerator and denominator separately, obtaining
1/n
(limit as n approaches infinity of) ------------- = 0. Series is convergent.
2n
Answer:
c) The reduced form of the given fraction 
Step-by-step explanation:
Here, the given expression is "24 over 30".
The given expression is is equivalent to 
Now by Prime Factorization:
24 = 2 x 2 x 2 x 3
30 = 2 x 3 x 5
⇒ The common factors in 24 and 30 is 2 x 3 = 6
So, 
Hence the reduced form of the given fraction
Given that height, h(t) of a tennis ball is modeled by the equation h(t)=<span>-16t^2 + 45t + 7, the time taken for the ball to reach maximum height will found as follows:
at maximum height:
h'(t)=0
but from the equation:
h'(t)=-32t+45=0
solving for t we get
t=45/32
t=1.40625~1.4 seconds
Thus the time taken to reach maximum height is 1.4 seconds
</span>
Answer:
135 square ft.
Step-by-step explanation:
To solve this equation, you need to find the area of this rectangle. Area is always base x height, or in this case, length x width. Now you multply your length, 15', by your width, 9', to get your answer, 135 square feet. When you multiply two measurments of the same unit together, you get square (units), which simply means that you multiplied two of the same unit of measurment together.
Answer:
No
Step-by-step explanation:
Using the Pythagorean Theorem, make 40 = c, 24 = b and the remaining side (the width) = a.
Solving for a we get a = 
. Then plugging in the values for c and b, we get a = 
= 32
Since the width of the TV needs to be less than 30" wide, it will not fit since the width of the TV is 32" wide.
