For question number 1:The plot H = H(t) is the parabola and it reaches its maximum in the moment when exactly at midpoint between the roots t = 0 and t = 23. At that moment t = 23/2 or 11.5 seconds.
For question number 2:To find the maximal height, just simply substitute t = 11.5 into the quadratic equation. The answer would be 22.9.
For question number 3:H(t) = 0, or, which is the same as -16t^2 + 368t = 0.Factor the left side to get -16*t*(t - 23) = 0.t = 0, relates to the very start of the process, when the ash started its way up.The other root is t = 23 seconds, and it is precisely the time moment when the bit of ash will go back to the ground.
Answer:
7 inches
Step-by-step explanation:
The surface area of a cube is denoted by: A = 6s², where s is the side length.
Here, we know that A = 294, so plug this into the formula to solve for s:
A = 6s²
294 = 6s²
s² = 49
s = √49 = 7
Thus, the answer is 7 inches.
Answer:
33:79
Step-by-step explanation:
We are told that a factory is going to hire 33 new employees.
and the total applicants is 79
In this problem, we want to represent the situation as a ratio of new hires to applicants
Since the question says new hires to applicants
Hence, the ratio will be
33 to 79
or
33/79, we can simplify this as
33:79
This is a chemistry problem btw. But, either way, the formula for density is mass per unit of volume. To solve for volume, bring the D over to get M/D = V
(327g)/(1.05g/ml) is the equation. Grams cancel and you’re stuck with 311.428571mL. That isn’t your answer tho, because that isn’t the right amount of sig figs. We have two figs at the least so the right answer would be 311.42 or 311.43mL. We want it in scientific notation, so move the decimal place between 3 and 1. That’s two spots to the left, so the power would be 2. C is your right answer
My chem professor told me to round to even instead of rounding up all the time. Either way, the hundreds place is always a percent error of plus or minus 0.01