8/12-9/12 multiply 4 by 3 and then multiply 3 by 3 and you'll get 9/12
Answer:
9p⁸ + 12p⁴q⁴ + 4q⁸
Step-by-step explanation:
(3p⁴ + 2q⁴)² ⇒ The square of (3p⁴ + 2q⁴)
Squares are such bases that multiply itself two times.
⇒ (3p⁴ + 2q⁴)(3p⁴ + 2q⁴)
<u>Simplifying the expression using (a + b)(a + b) = (a x a) + (ab) + (ab) + (b²)</u>
⇒ (9p⁸ + 6p⁴q⁴ + 6p⁴q⁴ + 4q⁸)
⇒ (9p⁸ + 12p⁴q⁴ + 4q⁸) = 9p⁸ + 12p⁴q⁴ + 4q⁸
Answer:
5
Step-by-step explanation:
2 times 5 equals 10
halve if 10 is 5 and x equals 5
Answer:

Step-by-step explanation:
we know that
The linear equation in slope intercept form is equal to

where
m is the slope
b is the y-intercept
<em>Find the slope</em>
The formula to calculate the slope between two points is equal to

take the points
(0,2.5) and (100,97.5)
substitute in the formula



Find the y-intercept b
we have


substitute i the linear equation 

solve for b

Note It was not necessary to calculate the value of b because the value is given in the table
Remember that the y-intercept is the value of y when the value of x is equal to zero (the y-intercept is the point (0,2.5))
The linear equation is

Answer:
The rectangular prism has the greater volume
Step-by-step explanation:
Given
Prism:


Cylinder


Required
Shape with greater volume
The volume of a rectangular prism is:

So, we have:


The volume of a cylinder is:

Where


So, we have:



So:



So, we have:


Both expressions have the same factor but different coefficient
The expression with greater coefficient has the greater volume
So, the
has the

Because: 