it takes 5 seconds to reach a height of 40 ft. and It takes 2.5 seconds to reach maximum height.
Let h(t) represent the height of the ball at time t.
Given that the height is given by:
h(t) = -16t² + 80t + 40
1) For the ball to reach a height 0f 40 ft, h(t) = 40, hence:
40 = -16t² + 80t + 40
16t² - 80t = 0
t(t - 5) = 0
t = 0 or t = 5
Hence it takes 5 seconds to reach a height of 40 ft.
2) The maximum height is at h'(t) = 0,
h'(t) = -32t + 80
-32t + 80 = 0
32t = 80
t = 2.5
It takes 2.5 seconds to reach maximum height.
Find out more at: brainly.com/question/11535666
This answer is most likely wrong, but this is what I had gotten.
Using the formula BxH divided by 2, I came up with an answer of 108.
Answer:
I think the answer is B, because the value does increase by one
Answer:
A = 1, B = 1
Step-by-step explanation:
From the question
(2x+1)/(x²+x) = A/x + B/(x+1)
(2x+1)/(x²+x) = [A(x+1)+(Bx)]/(x²+x)
Equation the numerator
2x+1 ≡ A(x+1) +Bx
2x+1 ≡ Ax+A+Bx
From the above,
A = 1.
And,
2x = Ax+Bx................ Equation 1
A+B = 2
Substitute the value of A into Equation 1
1+B = 2
B = 2-1
B = 1
Imagine, at the first day you have only one penny. Then tomorrow you have 2 pennies, next day you have 4 (2x2), next day you have 8 (4x2), next day you have 16 (8x2).... and so forth.
It looks like geometric sequence isn't it? (the ratio between the number of pennies that you have from the 2nd day and the 1st day is 2)
So, by using geometric sequence theorem we can total those pennies until day-27
S (total pennies at day-27) = (1)(2^27-1) / 2-1 = 2^26 pennies
So, you have 2^26 pennies.. a big number of pennies huh?=))
{The formula is: S = a( r^n-1) / r-1
Where:
a= the number of pennies that you've got at the 1st day
n= number of days you spent to collect those pennies)
r= the ratio of the number of pennies}
