Answer: If we define 2:00pm as our 0 in time; then:
at t= 0. the velocity is 30 mi/h.
then at t = 10m (or 1/6 hours) the velocity is 50mi/h
Then, if we think in the "mean acceleration" as the slope between the two velocities, we can find the slope as:
a= (y2 - y1)/(x2 - x1) = (50 mi/h - 30 mi/h)/(1/6h - 0h) = 20*6mi/(h*h) = 120mi/
Now, this is the slope of the mean acceleration between t= 0h and t = 1/6h, then we can use the mean value theorem; who says that if F is a differentiable function on the interval (a,b), then exist at least one point c between a and b where F'(c) = (F(b) - F(a))/(b - a)
So if v is differentiable, then there is a time T between 0h and 1/6h where v(T) = 120mi/
Answer:
About 3891 people saw that movie.
Step-by-step explanation:
Day 1: 985 people
Day 2: (985*8)/10 (20% gone) = 788
Day 3: (788*8)/10 (20% gone) = 630.4
Day 4: (630.4*8)/10 (20% gone) = 504.32
Day 5: (504.32*8)/10 (20% gone) = 403.456
Day 6: (403.456*8)/10 (20% gone) = 322.7648
Day 7: (322.7648*8)/10 (20% gone) = 258.21184
Adding this up:
985+788+630.4+504.32+403.456+322.7648+258.21184=
985+788+630+504+403+323+258=3891
Point A shows that she is incorrect.
With functions, you can perform the "straight line test through each point. If the line goes through both points, you know it's not a function.
If we plotted point A, it'd fail the straight line test because the given point (-6, 7) already has -6 as an x value.
Hope this helps!
Answer: 74.9 millimeters
Step-by-step explanation:
From the question, a photo of a beetle in a science book was.increased to 535% as large as its actual size and the beetle.has a actual size of 14 millimeters,
The size of the beetle on the photo will be 535% of 14 millimeters. This will be:
= 535% of 14
= 535/100 × 14
= 5.35 × 14
= 74.9 millimeters
<u>Given</u>:
The given equation is 
We need to determine the approximate value of q.
<u>Value of q:</u>
To determine the value of q, let us solve the equation for q.
Hence, Subtracting 
on both sides of the equation, we get;
Subtracting both sides of the equation by 2q, we have;
Dividing both sides of the equation by -1, we have;
Now, substituting the value of 
, we have;
Subtracting the values, we get;
Thus, the approximate value of q is 0.585
Hence, Option C is the correct answer.
