Answer:
2.33 Seconds
Step-by-step explanation:
The equation y = -6t^2 - 10t + 56 expresses the height of a ball at a given time, t, on the planet Mars. We are also given that the ball is thrown with a velocity of 10 feet per second with the initial height of 56 feet.
To find the amount of time to reach the ground, we can say that the time being found will be when the ball is on the ground, or when y = 0. So we simply set our equation to 0 and solve for t.
y = -6t^2 - 10t + 56
0 = -6t^2 - 10t + 56
0 = -1 (6t^2 + 10t + -56)
0 = -1 (3t - 7) (2t + 8)
(3t - 7) = 0 OR (2t + 8) = 0
3t = 7 OR 2t = -8
t = 7/3 OR t = -4
Since time will not be negative, we will want to choose the positive solution for this quadratic equation.
Hence, the amount of time for the ball to hit the ground will be 7/3 seconds or 2.33 seconds.
Cheers.
Answer:
x ≥ 15
Step-by-step explanation:
200 + 20x ≥ 500
To solve this inequality, you must first subtract 200 from 500.
500 - 200 = 300.
Lastly, divide 300 by 20.
20x = 300
300 ÷ 20 = 15
Therefore, the value of x is 15.
Answer:
123 is not a multiple of 9, while all others are
99 is a multiple of 11, while all others are not
It would be a 90%. In the calculator 18 is what percent of 20.
You don't say what you are measuring.
Generally, questions like this do include that info.
Example: What is the unit rate of (1/5) white per (1/4 yellow)?
To determine this, divide (1/5) white) by (1/4 yellow)
1 white
-----------
5
------------------ = 0.20/0.25 white per yellow, or 0.8 white per yellow.
1 yellow
-----------
4
