Step-by-step explanation: To find the volume of a sphere, start with the formula for the volume of a sphere which is shown below.

Here, we are given that our sphere has a radius of 4 units.
So plugging into the formula, we have
.
Start by simplifying the exponent.
(4 units)³ is equal to (4 units) (4 units) (4 units) or 64 units³.
So we have
.
Next, we multiply (4/3)(64) which can
be thought of as (4/3)(64/1)
So multiplying across the numerators and across the denominators,
we have
.
The equation that can be used to determine the dimensions of the base of the doghouse is x² + 4x = 21
<h3>
What is the equation?</h3>
A quadratic equation is an equation that usually has a single variable and it is raised to the power of 2.
Area of a rectangle = length x width
x (4 + x) = 21
x² + 4x = 21
To learn more about quadratic equations , please check: brainly.com/question/27696091
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I’m not sure if this is correct because I have no image but.... 3x + 1 = 18
Answer:
Step-by-step explanation:
point (2,−8) and has a slope of 4.
y1 = -8 & x1 = 2 and m = 4
y - y1 = m(x - x1)
y - (-8) = 4(x - 2)
y + 8 = 4x - 8
y = 4x - 8 - 8
y = 4x -16
A sum means that two numbers are added together. A square means that a number is raised to the second power.
The sum of a number c and its square can be written with this algebraic expression: