Answer:
a. 
b. 
Step-by-step explanation:
Volume of the container denotes its quantity. It is a three-dimensional space.
Let V denotes the volume of the container, h denotes the height of the container and r denotes the radius of the container.
a.
The total capacity of the container in terms of π is <u />
b.
As the cylindrical container is four-fifths full of powder, so the volume of the powder in terms of π is 
volume of the container i.e.,
The figure is represented by the inequality y ≥ 5 · x² - 40 · x - 45. (Correct choice: C)
<h3>What inequality represents the figure</h3>
In accordance with the figure, we have an inequation of the form y ≥ f(x). Now we proceed to find the <em>quadratic</em> equation of the parabola:
f(x) = a · (x + 1) · (x - 9)
- 125 = a · (4 + 1) · (4 - 9)
- 125 = a · 5 · (- 5)
- 125 = - 25 · a
a = - 5
f(x) = 5 · (x + 1) · (x - 9)
f(x) = 5 · (x² - 8 · x - 9)
f(x) = 5 · x² - 40 · x - 45
The figure is represented by the inequality y ≥ 5 · x² - 40 · x - 45. (Correct choice: C)
To learn more on inequalities: brainly.com/question/17675534
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Google it. ('>')...................................................
A is no observable trend, B is a positive linear trend, C is a negative linear trend, and D is an exponential trend
Answer:
x = 7
Step-by-step explanation:
Assuming the quadrilateral is a parallelogram, then the diagonals bisect each other.
7x - 8 = 41
7x = 49
x = 7
