1) The ball's position is described by:
s(t) = 4.9t² + 450
We want to find the velocity, which is the 1st-order derivative of the displacement function (I assume this is an introductory calculus class)
s'(t) = v(t) = 9.8t
We get this by multiplying 4.9 x 2 and reducing the exponent by 1. Now we simply plug 5 in for t.
v(5) = 9.8* 5
v(5) = 49m/s
2) Our cost function is C(x) = x² - 10,000
To find the average rate of change between these units, we use this formula:
( C(101) - C(100) ) ÷1 .
We find the change in C, and divide by the change in x, which is just one.
C(101) = 101² - 10,000
C(101) = 201
C(100) = 100² - 10,000
C(100= 0
C(101) - C(100) = 201
Average rate of change in cost is 201 dollars/ unit between the two points.
Answer:
The coefficient of the second term in this expression is 6.
Step-by-step explanation:
A coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression. There are three terms in this expression (9, 6w, and 5y), and the coefficient of the second term is 6.
Well, you lost the original $100 and then you gained back $70 but gave away $70 worth of merchandise, so it evens out and you lost $100 in total
Answer:
( -4, 11 ]
Step-by-step explanation:
Since there are 24 fiction books and 52 books in total, you can start with subtracting them both to find the amount of non-fiction books. 52-24=28, so 28 non-fiction books are currently checked out. Now for the fun part. There are two ways I know how to do this, so let's start. One way is that you can put a ':' between the two numbers. For example, since we are trying to find fiction books to non-fiction, we would say 24:28. The first number will represent the first thing they ask for (fiction), and the second number will represent the second thing they ask for (non-fiction). Another way to do this is by putting the numbers as a fraction. For example, you could put 24/28. It will still mean the same thing, and it will not change the outcome. I hope this helps! :)
