Answer:
E
Step-by-step explanation:
We are given that a particle's position along the x-axis at time <em>t </em>is modeled by:
And we want to determine at which time(s) <em>t</em> is the particle at rest.
If the particle is at rest, this suggests that its velocity at that time is 0.
Since are we given the position function, we can differentiate it to find the velocity function.
So, by differentiating both sides with respect to <em>t</em>, we acquire:
![\displaystyle x^\prime(t)=v(t)=\frac{d}{dt}\big[2t^3-21t^2+72t-53\big]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%5E%5Cprime%28t%29%3Dv%28t%29%3D%5Cfrac%7Bd%7D%7Bdt%7D%5Cbig%5B2t%5E3-21t%5E2%2B72t-53%5Cbig%5D)
Differentiate. So, our velocity function is:
So, we will set the velocity to 0 and solve for <em>t</em>. Hence:
We can divide both sides by 6:
Factoring yields:
By the Zero Product Property:
Hence:
Therefore, at the 3rd and 4th seconds, the velocity of the particle is 0, impling that the particle is at rest.
Our answer is E.
The measure of the angle R is 
Explanation:
It is given that the lengths of the triangle are PQ = 8 and QR = 3
To find the angle of R using the opposite and adjacent side, we shall use the tangent formula.
where opp = 8 and adj = 3
Thus, substituting these values in the formula, we get,
Multiplying both sides by 
, we get,
Dividing, we get,
Rounding off to the nearest tenth, we have,
Thus, the measure of the angle R is
Answer:
2/3
Step-by-step explanation:
2/3 of a cup is approx. 150 grams, 5/8 a cup is approx. 140 grams.n
Line FE is a radius of circle F. A radius is a line that connect to the center point ad is half of the circles diameter.
and
Line FC is a radius not a chord. A chord is a line within a circle that connects at two different point.
Hope this helps! Mark as Brainliest please! :)))
I don't know if this is right
