Answer:
<h2>a) Average velocity = 278 units</h2><h2>b)
Instantaneous velocity at t = 7 seconds is 148 units</h2>
Step-by-step explanation:
a) Average velocity is the ratio of displacement to time.
We have
s(t) = t³ + t
t is in between 7 and 12
s(7) = 7³ + 7 = 350
s(12) = 12³ + 12 = 1740
Displacement = 1740 - 350 = 1390
Time = 12 - 7 = 5
Displacement = Average velocity x time
1390 = Average velocity x 5
Average velocity = 278 units
b) s(t) = t³ + t
Differentiating
v(t) = 3t² + 1
At t = 7
v(t) = 3 x 7² + 1 = 148 units
Instantaneous velocity at t = 7 seconds is 148 units
Answer:
Exact Form: 49/30
Decimal Form: 1.6 line over 3
Mixed Number Form: 1 19/30
Step-by-step explanation:
I hope this helps!!!! Have a great day!!!
Ok lol I was going to put 180 but if you got it than that’s fine.
Since the given figure is a trapezoid, here is how we are going to find for the value of x. Firstly, the sum of the bases of the trapezoid is always equal to twice of the median. So it would look like this. 2M = A + B.
Plug in the given values above.
2M = (<span>3x+1) + (7x+1)
2(10) = 10x + 2
20 = 10x + 2
20 - 2 = 10x
18 = 10x < divide both sides by 10 and we get,
1.8 = x
Therefore, the value of x in the given trapezoid is 1.8. Hope this is the answer that you are looking for.
</span>
Answer:
A.)351 cubic inches
Step-by-step explanation:
The computation of the volume of the prism is shown below:
As we know that
Volume of the prism is
= Base × height
= 27 square inches × 13
= 351 cubic inches
hence, the first option is correct
And, the rest of the options are wrong
