Answer:
Step-by-step explanation:
just imagine you are on a number line and the numbers are
-5....-4.....-3.....-2....-1....0....1....2.....3
as you see the midpoint is -1
<span>The maxima of a differential equation can be obtained by
getting the 1st derivate dx/dy and equating it to 0.</span>
<span>Given the equation h = - 2 t^2 + 12 t , taking the 1st derivative
result in:</span>
dh = - 4 t dt + 12 dt
<span>dh / dt = 0 = - 4 t + 12 calculating
for t:</span>
t = -12 / - 4
t = 3
s
Therefore the maximum height obtained is calculated by
plugging in the value of t in the given equation.
h = -2 (3)^2 + 12 (3)
h =
18 m
This problem can also be solved graphically by plotting t
(x-axis) against h (y-axis). Then assigning values to t and calculate for h and
plot it in the graph to see the point in which the peak is obtained. Therefore
the answer to this is:
<span>The ball reaches a maximum height of 18
meters. The maximum of h(t) can be found both graphically or algebraically, and
lies at (3,18). The x-coordinate, 3, is the time in seconds it takes the ball
to reach maximum height, and the y-coordinate, 18, is the max height in meters.</span>
We can seperate (3b³) into two different parts, the constant and the variable.
The constant (3) and the variable (b) can both be squared and multiplied to get the correct answer, so:
3² = 9
(b³)² = 
So, 
Answer: See figure 2 in the diagram below for the table.
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Explanation:
The steps are fairly lengthy to explain in words, but the process is fairly straightforward. Start with figure 1 in the diagram below. The letters A through O represent the steps you'll take to replace them. For instance, you'll replace A with 219 since that's the grand total. Then B is replaced with 137 since we're told that 137 girls were surveyed. Then C gets replaced with 219-137 = 82, and so on. Use arithmetic (adding and subtracting) to gradually replace each letter with the proper number as figure 2 shows. The alphabetical order directly corresponds to the order in which the values are given by your teacher (eg: 219 is first, then 137 next, and so on).
Let me know if you get stuck on any one step, or need me to go into more detail.
Make it a fraction
7/25 * 4/4 = 28/100
0.28 = 28 percent
There is a 28 percent chance the next marble will be red