Step-by-step explanation:
The binomial theorem states that for some a,b∈R and some k ∈Z+ ,
(a+b)k=∑n=0k(kn)ak−nbn.
The binomial series allows us to use the binomial theorem for instances when k is not a positive integer. The binomial series applies to a given function f(x)=(1+x)k for any k∈R with the condition that |x|<1 . It is stated as follows:
(1+x)k=∑n=0∞(kn)xn .
Note that the binomial theorem produces a finite sum and the binomial series produces an infinite sum.
Answer:
103 and 102
Step-by-step explanation:
u add them together
Answer:
2.34 * 10^5.
Step-by-step explanation:
234000 = 2.34 * 10^5
- there are 5 digits after the first number so the exponent is 5.
Hello!
To find the fraction of the apartments that have not been scheduled to receive new carpet, we need first need find the number of apartments not receiving new carpet, by subtracting the total amount of apartments, by the 75 that have been scheduled.
120 - 75 = 45 apartments
Next, we need to create a fraction. Since 45 out of 120 apartments not are scheduled to get new carpeting, the fraction of these values is 45/120. This can be reduced to 3/8.
Therefore, your final answer is 45/120, simplified to 3/8.
Answer:
b = 4.6 ft
h = 2.3 ft
Step-by-step explanation:
The volume of the tank is given by:
Where 'b' is the length of the each side of the square base, and 'h' is the height of the tank.
The surface area can be written as:
The value of b for which the derivate of the expression above is zero is the value that yields the minimum surface area:
The value of h is then:
Rounded to the nearest tenth, the dimensions are b = 4.6 ft and h = 2.3 ft.
