You drop a ball from a height of 1.5 meters. Each curved path has 71% of the height is the previous path. a. write a rule for the sequence using centimeters. The initial height is given by term n=1
b. what height will the ball be at the top of the sixth path
Answers
a. write a rule for the sequence using centimeters. The initial height is given by term n = 1
For this case we have a sequence of the form:
Where
a0: initial height
r: rate of change
n: number of paths
On the other hand we have the following conversion:
1 meter = 100 centimeters
Therefore we have:
Thus, the general rule for the sequence in centimeters is:
Answer:
a rule for the sequence using centimeters is:
b. what height will the ball be at the top of the sixth path
For this case, we substitute the value of n = 6 in the equation obtained in part a.
We have then:
Answer:
the height of the ball will be 27.06 at the top of the sixth path
an = a1 r^(n-1)
with a1 as 1.5
and r = 0.71
So,
a.
The rule for sequence is:
an = 1.5 (0.71)^(n - 1)
b.
After the sixth path, the height of the ball at the top is
a6 = 1.5 (0.71)^(6 - 1)
a6 = 0.27 m
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Answers
Answers
Answer: y = 3x - 5
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
c = intercept
m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)
The equation of the given line is
y = -1/3x + 2
Comparing with the slope intercept form, slope = - 1/3
If two lines are perpendicular, it means that the slope of one line is the negative reciprocal of the slope of the other line. Therefore, the slope of the line passing through
(2, 1) is 3/1 = 3
To determine the intercept, we would substitute m = 3, x = 2 and y = 1 into y = mx + c. It becomes
1 = 3 × 2 + c = 6 + c
c = 1 - 6 = - 5
The equation becomes
y = 3x - 5
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Answer: I believe its 14/16 or if you want it to be simplified 7/8
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at least i think thats what you are asking
ex. with coordinates (x,y)(X,Y)
m=slope
m=
=
=
Then you will have every thing except the y intercept
(represented by b)
Using the slope-intercept form
and x and y being represented by the x, y values of a co-ordinate
y=mx+b
We can derive b
b= y-mx
Then when we have both m and b
Insert them into the form
ex. if m=-4, b=6
y=-4x+6
Taa daa!
If that helped please let me know
If it REALLY helped please rate as "Brainiest"
Answers
Answer:
x=9
Step-by-step explanation:
combine like terms
4+5=9
9+6x=7x
to get 6x with 7x subtract 6x from both sides as its positive
6x-6x=0
7x-6x=x
9=x
x=9
Answers
tan 32° = (1700-5.2) / x
which would give you x = 2712.25 ft