Answer:
Step-by-step explanation:
We are told that pressure at sea level is 1 atmosphere and increases at a constant rate as depth increases.
We are provided two points as (0,1) and (23,3.3). To find function's formula we will find the line which passes through these points.
First of all we will find slope of this line.
Now we will find equation of this line in slope intercept form.
Our equation for this line will be .
Now let us write this for x as a function of p,
Therefore, our function's formula will be p(x) = 0.1x + 1.
The required function of the situation is f(x) = 2670x.
Step-by-step explanation:
Given,
Population is = 3000
Evert year it is decreased by 11%.
To find the function of the given situation.
Formula
If the original population is a and is decreased by b% the population after 1 year will be a×
After x year the population will be = a××x =
Now,
Let after x years the population will be,
f(x) = 3000x×
= 2670x
Hence,
The required function of the situation is f(x) = 2670x.
Answer: a(n) = 5 - 3n
the sequence has:
a1 = 2
a2 = -1
a3 = -7
.........
we can see that: a2 - a1 = a3 - a2 = -3
=> the sequence is a arithmetic sequence
=> the distance between the numbers is d = -3
because this sequence is a arithmetic sequence
=> a(n) = a1 + (n - 1)d = 2 + (n - 1).(-3) = 5 - 3n
Step-by-step explanation:
1/4 of 2 1/2 is equal to 1/4 * 2 1/2 which equals 5/8. She gave 5/8 pounds of blueberries to her students on Monday.
2 1/2 - 5/8 = 1 7/8, so she had 1 7/8 pounds of blueberries left.
1/3 of 1 7/8 is 5/8 so she ate 5/8 pound of blueberries out of the 1 7/8 left.
Mrs. O gave the same amount of blueberries on Monday and ate the same amount of blueberries on Tuesday. (5/8 = 5/8)