Answer:
Step-by-step explanation:
Given
Length of curve

Length of curve is given by
over interval a to b
comparing two we get


integrating


Curve Passes through (1,2)


curve is

Answer:
A rational number is a number that can be represented a/b where a and b are integers and b is not equal to 0.
Find the common denominator.
Multiply everything by the common denominator.
Simplify.
Check the answer(s) to make sure there isn't an extraneous solution.
Answers:1)Tthe first answer is that as x increases the value of p(x) approaches a number that is greater than q (x).
2) the y-intercept of the function p is greater than the y-intercept of the function q.
Explanation:1) Value of the functions as x increases.Function p:

As x increases, the value of the function is the limit when x → ∞.
Since [2/5] is less than 1,
the limit of [2/5]ˣ when x → ∞ is 0, and the limit of p(x) is 0 - 3 = -3.While in the graph you see that the function
q has a horizontal asymptote that shows that the
limit of q (x) when x → ∞ is - 4.Then, the first answer is that
as x increases the value of p(x) approaches a number that is greater than q (x).2) y - intercepts.i) To determine the y-intercept of the function p(x), just replace x = 0 in the equation:
p(x) = [ 2 / 5]⁰ - 3 = 1 - 3 = - 2ii) The y-intercept of q(x) is read in the
graph. It is - 3.
Then the answer is that
the y-intercept of the function p is greater than the y-intercept of the function q.
Answer:
18 yards of material needed to make 24 shirts
Step-by-step explanation:
The unit rate is
1 shirt
------------------------------ = 1 1/3 shirts per yard of material = 4/3 shirt/yard
0.75 yards material
This rate could also be written as 3/4 yard per shirt
Multiply this latter rate by 24 shirts:
3 yard
-------------- * 24 shirts = 18 yards of material needed to make 24 shirts
4 shirt
Answer:
the third one
Step-by-step explanation:
area of a circle vs. it's diameter