Answer:
The maximum height is 46.64 feet.
Step-by-step explanation:
If we take the derivative of h whit respect to t and equal this to zero we would find the value of t which corresponds to the maximum h.
So, we have the function h(t):
Taking the derivative, we have:
Now, we solve it for t:
Finally, we put this value of t into the original equation.
Therefore, the maximum height is 46.64 feet. All the given options are wrong, the one that comes closest is option A.
I hope it helps you!
Answer:
r = 105
Step-by-step explanation:
Given quadratic equation:
x² − 9x − 6
Quadratic formula is given by:
(-b ± √b² - 4ac) ÷ 2a
For the equation: x² - 9x - 6
a = 1, b = -9 and c = -6
Substitute in the quadratic formula:
(-b ± √b² - 4ac) ÷ 2a
(-(-9) ± √(-9)² - 4(1*-6)) ÷ 2*1
= 9 ± √105 / 2
The solution of x² − 9x − 6 is expressed as 9 plus or minus the square root of r, all over 2
Therefore, the value of r is 105
Answer:
22 laps
Step-by-step explanation:
Clara wants to run 5 1/2 miles, and the track is only 0.25 miles long. This is a fairly easy question, you just need to figure out how many times 5 1/2 goes into 0.25, because she wants to run that amount of miles (I could never run that much).
I hope that answers your question so you understand, and I hope you have a great rest of your day! :)
Answer: 10.1
Step-by-step explanation:
Step 1: 1,000 is greater than 100 but smaller then
Step 2: 10,000 1,000 is divided by 10,100 which =10.1
Step 3: and 10.1 is less than 100 greater than 1
Answer: 3+7+9=19.....7/19=0.368 percent. Move the decimal two places to the right and round up for 37%
Step-by-step explanation:
Add all the colors together to get a TOTAL amount of ALL marbles.
The total amount for this problem is 19 (3+7+9=19)
The blue amount of marbles is given as 7.
Divide the blue amount (7) by the total amount (19) for the specific percentage for that color.
