Essentially this is asking you to sum the first three values of the geometric series that starts with i being 1 and has the rule of (
).
Since we must sum the first <em>three </em>geometric values we need to see what the value of i will be for the first three. The sigma notation shows us that the first i will be equal to 1. This means the second i is 2 and the third i is 3.
Knowing this you can plug in the corresponding i values into () and sum it all together
(
) + (
) + (
)
(
) + (
) + (
)
(
) + (
) + (
)
(8) + (2) + (
)
10 +
10.5
Hope this helped!
~Just a girl in love with Shawn Mendes
Step-by-step explanation:
I assume that "ground" is at 0 ft height. which is in an actual scenario not airways the case.
y = -16x² + 64x + 89
shows us that the tower is 89 ft tall (the result for x = 0, at the start).
anyway, if the original assumption is correct, then we need to solve
0 = -16x² + 64x + 89
the general solution for such a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/)2a)
in our case
a = -16
b = 64
c = 89
x = (-64 ± sqrt(64² - 4×-16×89))/(2×-16) =
= (-64 ± sqrt(4096 + 5696))/-32 =
= (-64 ± sqrt(9792))/-32
x1 = (-64 + 98.95453501...)/-32 = -1.092329219... s
x2 = (-64 - 98.95453501...)/-32 = 5.092329219... s
the negative solution for time is but useful here (it would be the time calculated back to ground at the start).
so, x2 is our solution.
the rocket hits the ground after about 5.09 seconds.
The fraction 3/9 is equivalent to 1/3.The fraction 3/9 is equal to 3÷9 and can also be expressed in decimal form as 0.333333.
Answer:
Step-by-step explanation:
Given
(5x - 3y)² = 0, then
5x - 3y = 0 ( add 3y to both sides )
5x = 3y (divide both sides by 5 )
x = y ( divide both sides by y )
=
Answer:
True because 1/2 an hour is 30 minutes.
Step-by-step explanation:
