The answer is (4x-5)(5x^2+1)
Answer:
The volume of the sphere is 14m³
Step-by-step explanation:
Given
Volume of the cylinder = 
Required
Volume of the sphere
Given that the volume of the cylinder is 21, the first step is to solve for the radius of the cylinder;
<em>Using the volume formula of a cylinder</em>
The formula goes thus

Substitute 21 for V; this gives

Divide both sides by h


The next step is to solve for the volume of the sphere using the following formula;

Divide both sides by r

Expand Expression

Substitute 



Multiply both sided by r

------ equation 1
From the question, we were given that the height of the cylinder and the sphere have equal value;
This implies that the height of the cylinder equals the diameter of the sphere. In other words
, where D represents diameter of the sphere
Recall that 
So, 

Substitute 2r for h in equation 1



Hence, the volume of the sphere is 14m³
In here, we could write an equality as x – 12 < 65. In solving inequalities, we follow the same rule as solving algebraic expressions. We will transpose 12 to the other side, giving us x < 65 + 12. Simplifying, we have x < 77. Geraldo must have a bill less than $77 in order for him not to spend more than $65.
Answer:
It is the distance that - 5 is from 0 on the number line.
Step-by-step explanation:
We have to select a statement that is true about the value of StartAbsoluteValue negative 5 EndAbsoluteValue i.e. |- 5|
Definition of the absolute value function is given by, |x| = x for, x ≥ 0 and |x| = - x for x < 0.
Now, an absolute value function gives the positive value of any value in the function i.e. |- 5| = 5.
Therefore, it is the distance that - 5 is from 0 on the number line. (Answer)
Answer:
y + 7 = -
(x - 1)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
Where m is the slope and (a, b) a point on the line
Here m = -
and (a, b) = (1, - 7), thus
y - (- 7) = -
(x - 1), that is
y + 7 = -
(x - 1) ← in point- slope form