6,200
Take 12 and multiply it by 350 to get 4,200 then add 2,000 to get 6,200
The volume of a sphere is
(4/3 π) x (radius)³ .
Right there, we can see that the volume of a sphere is proportional to
the cube of its radius, and the ratio of the volumes of two spheres is
the same as the cube of the ratio of their radii.
The ratio of the radii is (6,371 / 1,161) = 5.4875... (rounded) .
So the ratio of their volumes is (6,371 / 1,161)³ = (5.4875)³ = 165.24 .
Words cannot express our boundless joy when we look up
at the list of choices and see that 165 is one of them.
You have 1 out of 5 chances to get a A in the spinner
<span>You have a 1 out of 6 chances to get a 4 </span>
<span>1/5 times (x) 1/6 = 1/30</span>
Answer:
f(-4) = -120
Step-by-step explanation:
So we know that f(x) = 11x - 5x² + 4, and we are trying to solve for f(-4). To solve for f(-4), we plug -4 for x in the equation of f(x). In other words, change all x's into -4 in the equation 11x - 5x² + 4 and then solve.
f(x) = 11x - 5x² + 4
Plug in -4 for x.
f(-4) = 11(-4) - 5(-4)² +4
Simplify. 11(-4) = -44, 5(-4)² = 5(16) = 80.
f(-4) = -44 - 80 + 4
Solve.
f(-4) = -120
The answer is f(-4) = -120.
I hope this helps. If you need any clarifications, feel free to ask. Happy studying. :)
Answer:
The vertex of the graph is (-1,0)
Step-by-step explanation:
A vertex has different definitions
It refers to the point where we have the axis of symmetry
It can also be the point at which the graph changes direction
From the graph we have here, the vertex lie on the horizontal axis
It has an ordered pair value of (-1,0)