Answer:
- 4. -3
- 5. -1/2
- 6. 1/2
- 7. 4
- 8. 0
- 9. undefined
Step-by-step explanation:
<u>Use of slope formula:</u>
4.
- m = (7 - 4)/(1 - 2) = 3/-1 = -3
5.
- m = (-2 - 0)/(3 - (-1)) = -2/4 = -1/2
6.
- m = (5 - 3)/(5 - 1) = 2/4 = 1/2
7.
- m = (3 - 0)/(3.5 - 4.25) = 3/0.75 = 4
8.
- m = (3/4 - 3/4)/(5 - 2) = 0
9.
- m = (2 - 3)/(7.5 - 7.5) = -1/0 = undefined
The height of the fireworks from the ground is f(t) =![-16t^2 + 224t](https://tex.z-dn.net/?f=%20%20-16t%5E2%20%2B%20224t%20)
Given that the fireworks will now be launched from the top of a 120-foot-tall building.
In general, the height function h(t) = –16t^2 + v0t + h0
V0- is the initial velocity, h0 is the initial height
Initial velocit = 224
Initial height = 120
So the new function g(t) = ![-16t^2 + 224t + 120](https://tex.z-dn.net/?f=%20%20-16t%5E2%20%2B%20224t%20%2B%20120%20)
Original function f(t) = ![-16t^2 + 224t](https://tex.z-dn.net/?f=%20%20-16t%5E2%20%2B%20224t%20)
New function g(t)= ![-16t^2 + 224t + 120](https://tex.z-dn.net/?f=%20%20-16t%5E2%20%2B%20224t%20%2B%20120%20)
In original function f(x), the firework is launched from the ground so the initial height is 0.
In new function g(x), the firework is launched from the top of a 120-foot-tall building so the initial height is 120.Hence 120 is added with f(x) to get g(x).
Answer:
Construct a perpendicular bisector to line AB.
Step-by-step explanation:
The area of the rectangle would be 375
The solution for this problem is:
The x-bar or the mean is = 150Confidence level is 80%sample size is 36
E = t*s/sqrt(n)= 1.3062*40/sqrt(36)=1.3062 * 6.66667= 8.708
An 80% Confidence Interval is: 150-8.708 < u < 150+8.708Or141.3 < u < 158.7 is the confidence interval