Answer:
r = 9.8475 in
Step-by-step explanation:
We assume that the ball is spherical.
The volume of a spherical ball is:
We know that:
Then
![r ^ 3 = \frac{3*4000}{4(\pi)}\\\\r = \sqrt[3]{\frac{3*4000}{4(\pi)}}\\\\r = 9.8475in](https://tex.z-dn.net/?f=r%20%5E%203%20%3D%20%5Cfrac%7B3%2A4000%7D%7B4%28%5Cpi%29%7D%5C%5C%5C%5Cr%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7B3%2A4000%7D%7B4%28%5Cpi%29%7D%7D%5C%5C%5C%5Cr%20%3D%209.8475in)
Below is the graph of the cubic function
Q1
I like to use the standard form to write the equation of a perpendicular line, especially when the original equation is in that form. The perpendicular line will have the x- and y-coefficients swapped and one negated (remember this for Question 3). Thus, it will be
... 5x - 2y = 5(6) - 2(16) = -2
Solving for y (to get slope-intercept form), we find
... y = (5/2)x + 1 . . . . . matches selection C
Q2
The given equation has slope -3/6 = -1/2, so that will be the slope of the parallel line. (matches selection A)
Q3
See Q1 for an explanation. The appropriate choice is ...
... B. 4x - 3y = 5
Q4
The given line has slope -2, so you can eliminate all choices except ...
... D. -2x
Q5
The two lines have the same slope (3), but different intercepts, so they are ...
... A. parallel
(1, 3 )
to determine if the given points are a solution to the equation
They must lie on the given line to be a solution
the only one that is on the line is (1, 3 ) and is therefore the only solution
Answer:
I mean if it's there dream then why stop it? Its there life and we can't really stop that cause regardless what you say or do they're gonna find a way to do it. So I would say yes.
Answer
5
Step-by-step explanation:
141.75 - 68 = 73.75
73.75 / 14.75 = 5
