Answer:
m = 7
Step-by-step explanation:
- 3(12 - m) = - 1(m - 8)
- 36 - (- 3m) = - m - 8
- 36 + 3m = - m - 8
- 36 + 3m + m = - m + m - 8
- 36 + 4m = - 8
- 36 + 36 + 4m = - 8 + 36
4m = 28
4m ÷ 4 = 28 ÷ 4
m = 7
An expression for the height of the nth bounce is 0.80X^N = Height.
<h3><u>Equations</u></h3>
Since when dropped, a super ball will bounce back to 80% of its peak height, continuing on in this way for each bounce, to determine an expression for the height of the nth bounce the following calculation must be performed:
- X = Initial value
- 80% = 0.80
- N = Number of times the ball bounces
- 0.80X^N = Height
Therefore, an expression for the height of the nth bounce is 0.80X^N = Height.
Learn more about equations in brainly.com/question/2263981
Answer:
The stone would take approximately 10.107 seconds to fall 500 meters.
Step-by-step explanation:
According to the statement of the problem, the following relationship of direct proportionality is built:


Where:
- Time spent by the stone, measured in seconds.
- Height change experimented by the stone, measured in meters.
- Proportionality constant, measured in
.
First, the proportionality constant is determined by clearing the respective variable and replacing all known variables:

If
and
, then:


Then, the expression is
. Finally, if
, then the time is:


The stone would take approximately 10.107 seconds to fall 500 meters.
Answer:
-4, 1, 2, 3
Step-by-step explanation:
I put them from least to greatest.
Width of rectangle is 8.4 cm
Step-by-step explanation:
Length of rectangle = x+4
Width of rectangle = 12x
Perimeter = 26 cm
We need to find width of rectangle.
The formula used is:

Putting values and finding x first:








So, value of x is 0.7
Now width= 12x = 12(0.7)
=8.4 cm
So, width of rectangle is 8.4 cm.
Keywords: Perimeter of Rectangle
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