Answer:
x = 30.66°
Step-by-step explanation:
The sum of the interior angles of a hexagon is 720°
Each angles are x^0, (5x - 103); (2x + 60), (7x - 31), (6x -6), and (9x - 100),
we add all these angles together
x^0 + (5x - 103) + (2x + 60) + (7x - 31) + (6x -6) + (9x - 100) = 720
x^0 = 1
1 + (5x - 103) + (2x + 60) + (7x - 31) + (6x -6) + (9x - 100)
1 + 5x - 103 +2x + 60 + 7x -31 + 6x - 6 + 9x - 100 = 720
1 - 103 + 60 - 31 - 6 - 100 + 5x + 2x + 7x + 6x + 9x = 720
1 - 180 + 29x = 720
-179 + 29x = 720
29x = 720 + 179 = 889
x = 889/29 = 30.655 ≅ 30.66°
Using integration, it is found that the area under the graph of f(x) in the desired interval is of 1 unit squared.
<h3>How is the area under a graph found?</h3>
The area under the graph of a curve f(x) between x = a and x = b is given by the following integral:

In this problem, the function and the limits of integration are given by:


Hence:

Using substitution:



Hence:

Applying the Fundamental Theorem of Calculus:

Hence, the area under the graph of f(x) in the desired interval is of 1 unit squared.
To learn more about integration, you can take a look at brainly.com/question/20733870
V = 4/3 pi r^3
r is directly proportional to the diameter
and v is proportional to r^3
so
v is proportional to d^3
for d tripled
v is (3)^3 = 27 times original
The question involves what is referred to as a mass balance and can be solved as follows:
Ink A is:
total = 4ml
blue = 4 x 0.1 = 0.4ml
remaining = 3.6ml
Ink B is:
total = 10ml
blue = x
Remaining = 10 - x
Now, upon combination:
total = 4ml + 10ml = 14ml
Blue = 14ml * 0.35 = 4.9ml
Blue in total = blue in A + blue in B
4.9 = 0.4 + x
x = 4.5ml
Percentage of blue ink in B = 4.5/10 x 100
= 45%
The answer is A
Answer:
2. for the first equation, it works, for the second it doesnt so the answer is no
i cant graph for you, but its easy, just use y=mx+b m being the slope which is rise over run
8. x=6, y=-1
10. x=-5 y=5
this is all i could do in such a short notice, but i hope it helped you!
Step-by-step explanation:
for 8, 
for 10,