Answer:
<h3>1 secs</h3>
Step-by-step explanation:
Given the height of the discus can be modeled by the equation y=−16x
^2
+32x+4, where y represents the height in feet of the discus in seconds, the velocity of the discus at its maximum height is zero.
Velocity v = dy/dx = 0
dy/dx = -32x + 32
0 = -32x + 32
32x = 32
x = 1 secs
Hence it will take the discus 1 secs to reach its maximum height
Answer:
7.2224
Step-by-step explanation:
The value of the summation is given by the formula ...
Sn = (a1)(1 -r^n)/(1 -r) . . . . . where a1 is the first of n terms, and r is the common ratio.
Your sum has first term and ratio ...
a1 = 2(0.6) . . . . . summation term for n=1
r = 0.6
So the sum is ...

Then the value of the entire given expression is ...

_____
A calculator can help you find the value.
Since the only places where an x-ordinate exist are the closed circles, the domain will simply be:
D: { -5, -4, -3, 1, 2, 5 }
Answer:
Option D, 0.32 meters per second
Step-by-step explanation:
<u>Step 1: Find the unit rate at which Matt needs to swim</u>
Make an equation to represent the scenario.
<em>25m = 8</em>
<u>Step 2: Solve for m by dividing both sides by 25</u>
25m / 25 = 8 / 25
<em>m = 0.32</em>
<u>Step 3: Check</u>
To check, you can multiply the number of second, 25, by the meters per second to see if you get the total meters, 8.
0.32 * 25
<em>8</em>
So, the answer is correct :)
<u><em>0.32 means that Matt needs to swim 0.32 meters per second to qualify as a state swimmer.</em></u>
Answer: Option D, 0.32 meters per second
Answer:

Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form 
In this problem
Let


substitute

<u>Find the value of k</u>
For 


----> constant of proportionality
the equation is equal to

Find the value of r when m=224
substitute in the equation and solve for r



