Find the volume in cubic millimeters.
2 answers:
Answer:
Option B is correct.
volume in cubic millimeters is, 8000 cubic mm
Step-by-step explanation:
Volume of a cube is found by multiplying the length of any edge by itself twice.
It is given by:
cubic units,......[1] where V represents the volume of a cube and a represents the side of a length.
From the given figure;
Length of a side(a) = 2 cm
Use conversion, to convert cm into mm;
1 cm = 10 mm
then;
2cm =20 mm
⇒length of a side(a) = 20 mm
Substitute the value of a = 20 mm in [1];
cubic mm
Simplify:
Therefore, the volume in cubic millimeters is, 8000 cubic mm
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Answer:
(a) at t=2, the particle is moving toward the origin
(b) a(t) = 70(8 -9t^2)/(3t^2 +8)^3; a(2) = -0.245
(c) the particle approaches x = 1/3 as t gets large
Step-by-step explanation:
(a) The function x(t) is negative for -3 < t < 3, so at t = 2, the particle is to the left of the origin.
The velocity of the particle is given by the derivative of the position function:
Then, at t=2, the expression is positive, indicating the particle is moving toward the origin.
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(b) The acceleration is the derivative of the velocity, so is ...
Then at t=2, the acceleration is ...
a(2) = 70(8 -9·4)/(3·4+8)^3 = 70(-28)/8000
a(2) = -0.245
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(c) As t gets large, the value of x(t) approaches t^2/(3t^2) = 1/3.
Answer: First option.
Step-by-step explanation:
Given the equation , you need to substitute
into this equation. Then:
Remember that the Addition property of equality states that:
Then, you can add "x" and 4 to both sides.
Therefore, you get the equation written in function notation, with "x" as the independent variable: