1. Observe that the f(t) is change by 4 per time t => there's a acceleration of 4 => f''(t) = 4; Take the derivative of it we can get a velocity function. f'(t) = 4t + c. Since the velocity from 100 to 80 is -20 (average), this means at t = 0, f'(0) = -22 => f'(t) = 4t - 22; Take the derivative again to get the position function: f(t) = 2t^2 - 22t + d, here d = 100 should be trivial. So, the function that models the relationship is f(t) = 2t^2 - 22t + 100.
2. By the compound interest formula:
A = P (1 + r/n)^(nt) , since it's yearly, so n = 1;
results A(t) = 100 (1+0.12)^t.
3. The average rate of change is basically finding the slope, m = y1 - y2 / x1 - x2.
Answer:
20%
Step-by-step explanation:
Solution
- The correct steps for drawing a circle in a triangle are given below:
1. Bisect one of the angles
2. Bisect another angle
3. Where they cross is the center of the inscribed circle, called the incenter
4. Construct a perpendicular from the center point to one side of the triangle
5. Place compass on the center point, adjust its length to where the perpendicular crosses the triangle, and draw your inscribed circle!
- Based on these steps above and comparing them with the steps given in the question, every step given in the question is correct except Step 1.
- Step 1 given in the question, says we should construct a perpendicular bisector of one angle in the triangle. This is not correct because of the use of perpendicular bisector. This is only used for bisecting lines, not angles.
Final Answer
The answer is Step 1
Answer:
Thank you so much!!
Step-by-step explanation:
Have a good day also :)