Answer: it will trave 56.89 meters before coming to rest.
Step-by-step explanation:
This is a geometric progression since the distance travelled (height) by the ball is reducing by a constant ratio, r. Since the number of times that the ball will bounce is infinite, then we would apply the formula for determining the sum of the terms in a geometric progression to infinity which is expressed as
S = a/(1 - r)
where
S = sum of the distance travelled by the ball
a = initial distance or height of the ball
r = common ratio
From the information given,
a = 128/9
r = (32/3)/(128/9) = 0.75
Therefore,
S = (128/9)/(1 - 0.75) = 56.89 meters
Answer:
The value of k is -2
Step-by-step explanation:
The cut point with the y axis for both graphs occurs when x = 0
We then have:
For f (x):
The cut point for the y axis is:
For g (x):
The cut point with the y axis is:
The value of k is given by the vertical displacement of graph k units.
We then have:
Let's clear k:
I know that this is not the answer you are looking for but maybe you can use the step-by-step explanation to figure it out
Answer:
6 rolls
Step-by-step explanation:
7 × 6.5 is 45.5
45.5 ÷ 8 is 5.6875
5.6875≈6
So 6!
Answer:
i, m, and then k (use my method to do the other one)
Step-by-step explanation:
The longer than angle the longer the side tht is opposite to it... so for example, each angle and its opposite correspond to each other.. so K it is side K and so on...
first u should find the missing angles, for A, we know the angles 118 and 28 and a triangle is a total of 180 degrees, so add 118 and 28, which will give u 146, now subtract tht from 180 and u get 34, so the missing angle M is 34, now we can see which angles correspond to which side:
K = k
M = m
L = l
so the shortest will be l, then it will be m, and then it will be k