A ball is thrown from an initial height of 2 meters with an initial upward velocity of 9/ms
Balls height ![h= 2 +9t -5t^2](https://tex.z-dn.net/?f=%20h%3D%202%20%2B9t%20-5t%5E2%20)
To find all values of t for which the ball's height is 3 meters
We plug in 3 for h and solve for t
![h= 2 +9t -5t^2](https://tex.z-dn.net/?f=%20h%3D%202%20%2B9t%20-5t%5E2%20)
![3 = 2 +9t -5t^2](https://tex.z-dn.net/?f=%203%20%3D%202%20%2B9t%20-5t%5E2%20)
Solve for t
![0= -1+ 9t -5t^2](https://tex.z-dn.net/?f=%200%3D%20-1%2B%209t%20-5t%5E2%20)
![5t^2 - 9t + 1 = 0](https://tex.z-dn.net/?f=%20%20%20%205t%5E2%20-%209t%20%2B%201%20%3D%200%20)
Solve using quadratic formula
![t= \frac{-b+- \sqrt{b^2-4ac} }{2a}](https://tex.z-dn.net/?f=%20t%3D%20%5Cfrac%7B-b%2B-%20%5Csqrt%7Bb%5E2-4ac%7D%20%7D%7B2a%7D%20%20)
![t= \frac{9+- \sqrt{(-9)^2-4*5*1} }{2*5}](https://tex.z-dn.net/?f=%20t%3D%20%5Cfrac%7B9%2B-%20%5Csqrt%7B%28-9%29%5E2-4%2A5%2A1%7D%20%7D%7B2%2A5%7D%20%20)
After simplifying this,
= 0.11898
= 1.68102
the values of t for which the ball's height is 3 meters= 0.12 sec , 1.68 sec
Answer:
2220
Step-by-step explanation:
gcd of all numbers
3,4,7,5,6,8
2 = 3,2,7,5,3,4
2 = 3,1,7,6,3,2
2 = 3,1,7,5,3,1
3 = 1,1,7,5,1,1
Answer:
2.54. Calculate the approximate value:2.6 *
Step-by-step explanation:
Answer:
1000 - 300 - 200 = 500
Step-by-step explanation:
estimation
Answer:
19$
Step-by-step explanation:
In this problem, we have to apply the rule of three. Also, we must have present that $15.20 is the 80% of the price, because the store offers a 20% of discount. So, if $15.20 is 80%, how much would be the 100%?
Therefore, the original price of the pants is $19.
Remember that we must identified the right proportion to apply the rule of three, in this case, that proportion is the 80% with 15.20, that's the reason or fraction center of the whole operation.