Answer:
x=18
Step-by-step explanation:
5x+2=72
-2 -2
5x=70
---------
5
x=18
Note that √(4 - t²) is defined only as long as 4 - t² ≥ 0, or -2 ≤ t ≤ 2. Then the real integral exists only if -2 ≤ x ≤ 2. (Otherwise we deal with complex numbers.)
If x = 2, then the integral corresponds to the area of a quarter-circle with radius 2. This means that the integral has a maximum value of 1/4 • π • 2² = π.
On the opposite end, if x = -2, then the integral has the same value, but the integral from 0 to -2 is equal to the negative integral from -2 to 0. So the minimum value is -π.
For all x in between, we observe that the integrand is continuous over the rest of its domain, so F(x) is continuous.
Then the range of F(x) is the interval [-π, π].
Answer:
35
Step-by-step explanation:
Let's make a system of equations for the vegetarian and chicken wraps; one for the total cost of them and one for the total amount sold.
Vegetarian wraps will be represented by variable v and chicken wraps will be represented by the variable c.
- v + 3.40c = 266.20
- v + c = 103
Subtract these equations.
Divide both sides by 2.40.
Substitute this value for c into the second equation.
Subtract 68 from both sides.
The number of vegetarian wraps sold amounted to 35 in total.
Answer:
Step-by-step explanation:
Given that among 500 freshmen pursuing a business degree at a university, 315 are enrolled in an economics course, 213 are enrolled in a mathematics course, and 123 are enrolled in both an economics and a mathematics course.
From the above we find that
a) either economics of Math course is
Out of 500 students 405 have taken either Math or Economics
Hence
c) student who have taken neither = 
Exactly one course is either math or economics - both
= 
<span>K-means clustering is a data mining learning algorithm used to cluster observations into groups of related observation without any prior knowledge of those relationships.
Hope this Helpful !</span>
