Answer:
It takes 1.323 seconds for the ball to fall by 36 feet
Step-by-step explanation:
The height of the ball dropped from a height of 64 ft is modeled by the equation:
h(t) = -16t² + 64 where t is the time in seconds.
To find the time it takes to fall 36 ft, we substitute h(t) too be 36 ft and then solve the resulting quadratic function.
Substituting h(t) to be 36 ft:
36 = -16t² + 64
multiply through by -1
-36 = 16t² - 64
add 36 to both sides
16t² -64 + 36 = -36 + 36
16t² - 28 = 0
add 28 to both sides
16t² - 28 + 28 = 0 +28
16t² = 28
Divide both sides by 28
16t²/16 = 28/16
t² = 1.75
Find squre root of both sides
√t² = √1.75
t = 1.323 seconds
It takes 1.323 seconds for the ball to fall by 36 feet
Answer:
For this answer, you need to do a conversion from pounds to grams. 1 pound is equal to 453.592 or just 453.6 grams if rounding is allowed. You would need to multiply 1.25 pounds to the 453.6 grams which would equal 566.99 grams or if you are rounding then it is 567 grams.
Your final answer is 567 grams of sugar.
Answer:
165 ft cube
Step-by-step explanation:
Answer:
a = 2
b = 4
c = 8
Step-by-step explanation:
Remember the relationship:
First, in "a" we have:
a) ![8^{1/3} = \sqrt[3]{8} = 2](https://tex.z-dn.net/?f=8%5E%7B1%2F3%7D%20%20%3D%20%5Csqrt%5B3%5D%7B8%7D%20%20%3D%202)
then in the next ones, we can use the result that we obtained in the part a:
b) 
Now we can do exactly the same in c:
c) where first we need to know that:
2*2*2*2 = 4*4 = 16
then:
2^4 = 16
then:
![\sqrt[4]{16} = 16^{1/4} = 2](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B16%7D%20%3D%2016%5E%7B1%2F4%7D%20%3D%20%202)
Now let's solve the problem:
Answer:
7.92% probability that a particular death is due to a traffic accident
Step-by-step explanation:
The relative frequency approach to find the probability that a particular death is due to a traffic accident is the number of deaths due to traffic accidents divided by the total number of deaths.
We have that:
624 deaths from traffic accidents
7883 total deaths.
So
7.92% probability that a particular death is due to a traffic accident
