Assuming Earth's gravity, the formula for the flight of the particle is:
s(t) = -16t^2 + vt + s = -16t^2 + 144t + 160.
This has a maximum when t = -b/(2a) = -144/[2(-16)] = -144/(-32) = 9/2.
Therefore, the maximum height is s(9/2) = -16(9/2)^2 + 144(9/2) + 160 = 484 feet.
Answer:
log_4(256)=4
log_4(1/1024)=-5
log_4(16)=2
log_4(1/256)=-4
Step-by-step explanation:
We want to write a number, x, such that
Log_4(y)=x.
In exponential form that is 4^x=y.
So first number is x=4.
4^4=256 which means log_4(256) is 4 as a logarithm with base 4.
The second number is x=-5.
4^-5=1/4^5=1/1024 which means log_4(1/1024) is -5 as a logarithm with base 4.
The third number is x=2.
4^2=16 so log_4(16) is 2 as a logarithm with base 4.
The fourth number is x=-4.
Since 4^4=256 then 4^-4=1/256 which means -4 as a logarithm with base 4 is log_4(1/256).
In that statement of a function, 'a', 'b', and 'c' all represent
plain old ordinary constant numbers.
Medical practitioners recommend losing around 365 pounds or 730 pounds per year.
<h3>What is an equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Medical practitioners recommend losing around 1–2 pounds (0.5–0.9 kg) per week.
Hence for a year:
Amount of weight loss = (1 * 365) or (2 * 365)
Medical practitioners recommend losing around 365 pounds or 730 pounds per year.
Find out more on equation at: brainly.com/question/2972832
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