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:
20g
since mass should be in kg or gram if small then g
Answer:
B. x =1 , y = -5
Step-by-step explanation:
So, what we can do is to simply plug in all of the equations and see which one fits. Equation: x - y = 6
A. x =1 , y = -6
1 -(-6) = 6
1 + 6 = 7
A would be incorrect.
B. x = 1, y = -5
1 - (-5) = 6
1 + 5 = 6
Therefore, B would be correct.
Answer:
Vertex form: 
The vertex is 
Step-by-step explanation:
For a general quadratic function the form is:
For the function
The values of the coefficients for the function are the following: 
, 
, 
Take the value of b and divide it by 2. Then, the result obtained squares it.
Add and subtract 
Write the expression of the form
The vertex is
Answer:
a) 30 inches × 30 inches × 30 inches
b) 27,000 inches³
c) 14,130 inches³
d) 12,870 inches³
Step-by-step explanation:
Edge of the cube = diameter = 30 inches
Volume of cube = s³
30³ = 27000 inches³
Radius = 30/2 = 15
Volume of sphere:
(4/3) × 3.15 × 15³
14130 inches³
Difference:
27000 - 14130
12870 inches³
