The following EXCEL tables are obtained when "Score received on an exam (measured in percentage points)" (Y) is regressed on "pe
1 answer:
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Answer:
8 cookies left to be baked
Step-by-step explanation:
<u>Len</u>
Len bakes 1/3 of 30 cookies
To find 1/3 of 30, divide 30 by 3 then multiply by 1:
Therefore, Len bakes 10 cookies
<u>Sallesh</u>
Sallesh bakes 2/5 of 30 cookies
To find 2/5 of 30, divide 30 by 5 then multiply by 2:
Therefore, Sallesh bakes 12 cookies
<u>Cookies left to bake</u>
To calculate how many cookies are left to bake, subtract the found number of cookies Len and Sallesh have baked from 30:
30 - 10 - 12 = 8
So there are 8 cookies left to be baked.
Answer:
The initial value is 3.
The range is y greater than 0.
The simplified base is 8.
Step-by-step explanation:
The given function is ......... (1)
Therefore, the initial value of the function at x = 0 is
Now, the domain can be any real value, since for all real value of x, y exists.
But, for no value of x the function has value < 0.
Therefore, y greater than 0 is the range of the function f(x).
Now, simplifying the equation (1) we will have
Therefore, the simplified base is 8. (Answer)
A) 436 ft
B) t = 5 sec
C) 5.60 s
Step-by-step explanation:
A)
The height of the ball at time t is given by the equation
where
is the acceleration of the ball (acceleration of gravity, downward)
+500 is the initial height of the ball, at time t = 0
Here we want to find the height of the ball after 2 seconds, so at a time of
t = 2 s
Substituting into the equation, we find:
B)
Here we want to find the time it takes for the ball to fall to a height of 100 feet above the ground, so the time t at which
h(t) = 100 ft
As stated in the text of the question, the height of the ball at time t is given by
Since
h(t) = 100, we have
And solving for t we find:
So, the correct solution is the positive one:
t = 5 sec
C)
The ball reaches the ground when the height of the ball has became zero:
The height of the ball at time t is given by
And substituting
h(t) = 0
We get
And solving the equation for t, we find the time t at which the ball reaches the ground:
So, the correct solution is the positive one:
t = 5.60 s