So this one is a little tricky because in order to solve you need to combine like terms. The only problem is that two fractions don't have the same denominator.
This is what you do.
2/3 - 1/9
= (2*9) - (1*3) / 3*9
= 18 - 3 / 27
= 15/ 27
Simplify.
5/9 + y = 7/9
Now since you need to isolate the variable you have to subtract 5/9 from both sides. Since the denominator is the same you can just subtract the numerator.
So y = 2/9
I hope this helps love! :)
<u>Given</u>:
Given that the radius of the sphere is 9 cm
We need to determine the volume of the sphere.
<u>Volume of the sphere:</u>
Let us determine the volume of the sphere.
The volume of the sphere can be determined using the formula,

where r is the radius of the sphere.
Substituting r = 9 in the above formula, we get;




Thus, the volume of the sphere is 972π cm³
Hence, Option B is the correct answer.
Answer:
Step-by-step explanation:
From the given information:
Let X represent the amount of the stock that goes up in the first period; &
Let Y denote the cumulative amount that goes up in the first three periods.
Then,




∴

We are given the following information:
the sum of the first number cubed and the second number is 500
their product is a maximum
We are looking for the 2 missing numbers.
To answer this, let's represent the two numbers as x and w.
From the given, we can form the following equation:

We can then express y as:

We can express their product as:

To find the maximum value of x, let's solve for the derivative of -x^4 + 500 x.

Then we solve for the value of x where f'(x) = 0.

Then we use x = 5 to solve for the second number, w.

Therefore, the two numbers are 5 and 375.