Answer:
Step-by-step explanation:
A particle is moving with acceleration modeled by the function:
We are given that its position s(t) at <em>t</em> = 0 is 10 and that its velocity v(t) at <em>t</em> = 0 is 16.
And we want to find its position at <em>t</em> = 8.
Velocity is the integral of the acceleration. Hence:
Find the velocity. Remember the constant of integration!
Since v(t) is 16 when <em>t</em> = 0:
Hence, our velocity is given by:
Position is the integral of the velocity. Hence:
Integrate:
s(t) is 10 when <em>t</em> = 10. Hence:
So, our position function is:
The position at <em>t</em> = 8 will be:
Answer:
B. 5x^4+5x^3
Step-by-step explanation:
(f.g)(x) = f(x) * g(x) = 5x^3 * (x+1)
= 5x^3 * x + 5x^3 * 1
= 5x^4 + 5x^3
We are giiven with two realms: 36 students who passed test 1 and <span>38 who passed test 2 in which 42 students overall took the test. to determine U' or those who didn't pass either of the tests, then we use the formula:
A or B = (A+B)-AandB
A/B = (36+38)-AandB= 74-AandB
42 = A+ B - AandB + U'; 42 = 74- AandB+ U'
where U' is the number who did not pass
U'= -32 + AandB
U' cannot be negative but can be zero,
AandB = 32 @ minimum number of those who fail.
AandB cannot be greater than 38 but can be greater than 36, hence
U' = -32 + 38 @ maximum number of those who fail.
Answer then is 6.
</span>
The maximum number of shrubs (x) = a(area) divided by 15.9
a(area)=37.1*15
37.1*15= 556.5
556.5/15.9=x
556.5/15.9=35
35=x
Answer:
4t + 29
Step-by-step explanation:
7(5 + t) - 3(t + 2)
35 + 7t - 3t - 6
4t + 35 - 6
4t + 29