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:
The answer is 22 1/2-18 3/7. first we need to get a common denominator for the fractions. I will do 14. Now we have 22 7/14-18 6/14=4 1/14 ez
Step-by-step explanation:
I put the answer below in the picture!
1) A = π r² = 22/7 x 10² = 314.28 in²
2)A = π r² = 22/7 x 9² = 254.57 mm²
3) radius = 1/2 diameter
r = 1/2 x 3 = 1.5 in
A = π r² = 22/7 x 1.5² = 7.07 in²
4)A = π r² = 22/7 x 14² =616 cm²
5) radius = 1/2 diameter
r = 1/2 x 1.5 = 0.75 ft
A = π r² = 22/7 x 0.75² = 1.76 ft²
31. At the candy store:
=> Ericka bought 3 kilograms of Cinnamon red hots and 1 kilograms of gummy bears for 21.00 dollars.
=> Irene bought 3 kilograms of cinnamon red hots and 3 kilograms of gummy bears for 39.00 dollars.
Question: Find the costs of each kilograms.
Notice that the cinnamon red hot that they both are the same, the only difference is the gummy bears, which added 2kilos for Irene.
Now, let’s subtract
=> 39 – 21 = 18 dollars – this is the costs of 2 kilos of gummy bear
=> 18 / 2 = 9 dollars, thus the price of each kilos of gummy bear is 9 dollars,
Now, let’s solve for the cinnamon
=> 21 – 9 = 12 dollars, to be divided with 3 kilos
=> 12 / 3 = 4 dollars – the price of cinnamon red hot per kilo.
