Answer:
Step-by-step explanation:
I see you're in college math, so we'll solve this with calculus, since it's the easiest way anyway.
The position equation is
That equation will give us the height of the rock at ANY TIME during its travels. I could find the height at 2 seconds by plugging in a 2 for t; I could find the height at 12 seconds by plugging in a 12 for t, etc.
The first derivative of position is velocity:
v(t) = -3.72t + 15 and you stated that the rock will be at its max height when the velocity is 0, so we plug in a 0 for v(t):
0 = -3.72t + 15 and solve for t:\
-15 = -3.72t so
t = 4.03 seconds. This is how long it takes to get to its max height. Knowing that, we can plug 4.03 seconds into the position equation to find the height at 4.03 seconds:
s(4.03) = -1.86(4.03)² + 15(4.03) so
s(4.03) = 30.2 meters.
Calculus is amazing. Much easier than most methods to solve problems like this.
Answer:
$2.5
Step-by-step explanation:
Number of pounds of banana needed = 5 pounds
Cost per pound of banana = 0.50
To solve using place value blocks :
Ignoring the decimal in the cost per pound:
We can first take the product of 5 (Number of pounds of banana) and take cost per pound as 5. Since it is easier to make direct multiplication without decimal.
5 * 5 = $25
Now we can add the one decimal point (in the cost per pound) to our result
Then we have $2.5
Hence, total cost = $2.5
Answer
c
Step-by-step explanation:
2.72 ÷ 1.54
For this case what we should do is take into account the following conversion:
We then have the following number:
Applying the given conversion we have:
By doing the corresponding calculation we have that the standard form is given by:
Answer:
4540 million in standard form is:
Answer:
He will need to buy 2 six-packs and then 4 single bottles.
Explanation:
2((4)2) = 16 (This is how many he will need to get)
16/6 = 2 packs and 4 leftover
