Let
be the constant factor between terms, so that


and so on, with

(notice how the exponent and the subscript add to
)
Then

so if

then

Now,

so the third term in the sequence is 30.
<span>f(x) = –2/9x + 1/3
</span>y -intercept when x = 0
so
f(x) = –2/9(0) + 1/3 then f(x) = 1/3
answer
<span>y-intercept </span>(0, 1/3)
Answer: t = 6 s
Step-by-step explanation:
When Rose hit the water, the height of the jump is 0, so: h(t) = 0.
Resolving it, we have:
-16t² + 16t + 480 = 0
To simplify the second degree equation, divided it by 16:
-t² + t + 30 = 0
Now, solve the equation using Bhaskara:
Δ = 1² - 4. (-1) . 30
Δ = 1 + 120
Δ = 121
t = 
t₁ =
= - 5
t₂ =
= 6
Since time can be negative, it took t = 6s for Rose to hit the water.
Answer:
1282kg
Step-by-step explanation:
1.0*1.12*1.1=1.232 tonnes
50kg + 1232kg = 1282kg
Hope this helps :)
Answer:
The ball was dropped from 150 feet.
It will take the ball 3.06 seconds to reach the ground.
Step-by-step explanation:
A story is 10 feet.
You want to find the number of seconds for the ball to reach the ground, which is a height of 0. So you can put 0 in for h(t), and then solve that. If you need more help than that, let me know.