The equation that shows the relationship between Amir's altitude relative to sea level (in meters) and time (in minutes) is y = -12x + 360
<h3>What is an equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Let y represent Amir's altitude relative to sea level after x minutes. He was at sea level after 30 minutes, hence:
0 = -12(30) + b
b = 360
y = -12x + 360
The equation that shows the relationship between Amir's altitude relative to sea level (in meters) and time (in minutes) is y = -12x + 360
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Answer:
In 517 ways
Step-by-step explanation:
There are total 6 people in ballot and voters can vote for any 4 we have following choices
Voter may not vote for anyone then
Since, and
Here, n=6 and r=0 we will get
Voter may not vote for one of them then
Voter may not vote for two of them then
Voter may not vote for three of them then
Voter may not vote for four of them then
Total ways in which a person can vote is
+ + + +
Substituting the values we will get
[tex]1+6+30+120+360=517[/text] ways.
The amount of elapsed time is 28 minutes since the difference between 6:35 and 7:03 is 28 minutes
Answer:
1059 ft
Step-by-step explanation:
For problems like these, we assume the acceleration due to gravity is -32 ft/s², so the velocity will decrease to zero in time t, where ...
0 = 256 -32t
32t = 256
t = (256 ft/s)/(32 ft/s² ) = 8 s
Since velocity is linearly decreasing from 256 ft/s to 0, its average value of 128 ft/s will serve to tell us the height attained.
Height attained is ...
35 ft + (128 ft/s)(8 s) = 35 ft + 1024 ft = 1059 ft
The maximum height attained by the projectile is 1059 feet.