Step-by-step explanation:
The particle is at rest when the derivative of x(t), which is its velocity, is zero, i.e.,
![\dfrac{d}{dt}[x(t)] = \dot{x}(t) = 0](https://tex.z-dn.net/?f=%5Cdfrac%7Bd%7D%7Bdt%7D%5Bx%28t%29%5D%20%3D%20%5Cdot%7Bx%7D%28t%29%20%3D%200)
Since
its derivative is

Equating this to zero, we get

This is a familiar quadratic equation whose roots are




This means that the particle will be at rest at t = 3 and t= 4.
1. To convert the fraction to a decimal, divide the numerator by the denominator
6230/14
2. Calculate it
445
Answer:
In geometry, a median of a triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side. Every triangle has exactly three medians, one from each vertex, and they all intersect each other at the triangle's centroid.
Answer and Step-by-step explanation:
The computation is shown below:
Let us assume that
Spam Email be S
And, test spam positive be T
Given that
P(S) = 0.3


Now based on the above information, the probabilities are as follows
i. P(Spam Email) is
= P(S)
= 0.3

= 1 - 0.3
= 0.7
ii. 


= 0.8906
iii. 


= 0.0221
We simply applied the above formulas so that the each part could come
Answer:
500 /3 pi cm^3
Step-by-step explanation:
The side length of the cube is 10 cm, so the diameter of the sphere is 10 cm
That means the radius is
r =d/2 =10/2 = 5 cm
The volume of a sphere is
V = 4/3 pi r^3
= 4/3 pi (5)^3
= 500 /3 pi cm^3