Hi,
Answer: (x+5)^2
<u>My work:</u> For this problem can be easily achieved by factoring your terms. To do this you figure out what can go into 10x and 25 which is 5. From the there you take x^2 and 10x and see what can take out which would be x. Your answer would be (x + 5)^2 or (x +5) (x + 5). This can be done in 2 easy steps!
<u><em>Numerical work:</em></u>
1.x^2 10x +25
Before this step figure out what goes into you equation.
2. (X + 5)^2 or (X+5) (X + 5)
C is your answer e cause u supposed to multiple
Option A

<em><u>Solution:</u></em>
Given that we have to rewrite with only sin x and cos x
Given is cos 3x

We know that,

Therefore,
---- eqn 1
We know that,


Substituting these values in eqn 1
-------- eqn 2
We know that,

Applying this in above eqn 2, we get



Therefore,

Option A is correct
Answer:
f^-1(x) = 3 - 5x, second option
Step-by-step explanation:
To determine the inverse simply interchange the variables and solve for y;
f(x) = 3 - x / 5 -> Interchange the variables
x = 3 - y/5 -> Multiply either side by 5
5x = 3 - y -> Subtract three from either side
- y = 5x - 3 -> Divide either side by - 1
y = - 5x + 3
Your solution is f^-1(x) = 3 - 5x
Answer:
The psychologist finds that the estimated Cohen's d is 0.583.
Step-by-step explanation:
The Cohen's d is used to calculate the effect size, appied when a null hypothesis is rejected.
It can be calculated for this case of population mean as:

The psychologist finds that the estimated Cohen's d is 0.583.