Answer:
48
Step-by-step explanation:
1152/24=48
Not for sure , don't remember how to solve them but I believe you multiply the number by itself as many time as the exponent
Answer:
B
Step-by-step explanation:
We are given that the position of a particle is modeled by the function:
And we want to find the times for which the <em>speed</em> of our particle is <em>increasing. </em>
In other words, we want to find the times for which our <em>acceleration</em> is positive (a(t)>0).
So first, we will find our acceleration function. We can differentiate twice.
By taking the derivative of both sides with respect to <em>t</em>, we acquire:
Differentiate:
This is our velocity function. We can differentiate once more to acquire the acceleration function. Therefore:
Differentiate:
If our speed is increasing, our acceleration must be positive. So:
By substitution:
Now, we can solve for <em>t:</em>
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<em />
Therefore, the only interval for which the speed of the particle is increasing (i.e. the acceleration is positive) is for all times t>4.
So, our answer is B.