Answer:

Step-by-step explanation:

Adding and Subtracting 1 to the Numerator

Dividing Numerator seperately by 

Here integral of 1 is x +c1 (where c1 is constant of integration
----------------------------------(1)
We apply method of partial fractions to perform the integral
=
------------------------------------------(2)

1 =
-------------------------(3)
Substitute x= 1 , -1 , i in equation (3)
1 = A(1+1)(1+1)
A = 
1 = B(-1-1)(1+1)
B = 
1 = C(i-1)(i+1)
C = 
Substituting A, B, C in equation (2)
= 
On integration
Here 
=
-
-
+ c2---------------------------------------(4)
Substitute equation (4) back in equation (1) we get

Here c1 + c2 can be added to another and written as c
Therefore,

Answer:
x=6
Step-by-step explanation:
h(x) = -( x-2)^2 +16
We want when h(x) = 0
0 = -( x-2)^2 +16
Subtract 16 from each side
-16 = -( x-2)^2 +16-16
-16 = -( x-2)^2
Divide by -1
16= ( x-2)^2
Take the square root of each side
±sqrt(16) = sqrt(( x-2)^2 )
±4 = x-2
Add 2 to each sdie
2 ±4 = x-2+2
2+4 = x 2-4 =x
6 =x -2 =x
since time cannot be negative
x=6
Answer:
About 9.6 meters
Step-by-step explanation:
Refer to attachment
Answer:
80
Step-by-step explanation:
10 divided by 1/8 is equal to 10 times 8
(its called recipical)
Answer:
0.323 = 32.3% probability that the director chooses 3 boy kittens and 5 girl kittens.
Step-by-step explanation:
The kittens are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:

In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

A TV studio has brought in 8 boy kittens and 10 girl kittens for a cat food commercial.
This means that 
We want 3 boys, so 
The director is going to choose 8 of these kittens at random to be in the commercial.
This means that 
What is the probability that the director chooses 3 boy kittens and 5 girl kittens?
This is P(X = 3).


0.323 = 32.3% probability that the director chooses 3 boy kittens and 5 girl kittens.