Answer:
- After 4 seconds the height is 480 meters.
- The maximum height is 484 meters.
- The ball hits the ground after 10 seconds
Step-by-step explanation:
The height after four seconds is h(4) = -16 * r² + 144*4+160 = 480
The maximum height of the ball is the value it takes at its vertex 'v = -b/2a'. In this case a = -16 and b = 144, so the v = -144/-32 = 4.5. The maximum height of the ball as a result is h(4.5) = -16 (4.5)² + 144*4.5 + 160 = 484
To find the moment the ball hits the ground, we need to find when h takes the value 0 by using the quadratic formula, with a = -16, b = 144 and c = 160.
Since t cant take negative values, then the correct value is 10. The ball hits the ground after 10 seconds.
Answer:
336inch
Step-by-step explanation:
1ftt=12in
28ftt=12 ×28
=336in
Download photomath it solves and shows the steps
This is a combination problem.
Given:
12 students
3 groups consisting of 4 students.
Mark can't be in the first group.
The combination formula that I used is: n! / r!(n-r)!
where: n = number of choices ; r = number of people to be chosen.
This is the formula I used because the order is not important and repetition is not allowed.
Since Mark can't be considered in the first group, the value of n would be 11 instead of 12. value of r is 4.
numerator: n! = 11! = 39,916,800
denominator: r!(n-r)! = 4!(11-4)! = 4!*7! = 120,960
Combination = 39,916,800 / 120,960 = 330
There are 330 ways that the instructor can choose 4 students for the first group
Answer:
(golden corral) 11 + 1x = y. Western Sizzlin 9 +2x= y. These equations will be linear because these equations have the structure of y=mx+b, also when these equations are plotted on the graph they point upward. (I can't show a table, but I provided a pic of the graph so u can plot the points). The point of intersection is 2,13. The point of intersection means when the prices for both restaurants are equal to each other I would go to golden corral because if I have a lot of drinks it would be cheaper in the long run.
Step-by-step explanation:
Use desmos for problems like this it will save your life.
