Answer: The vertex of the function is (-1, -7).
Step-by-step explanation: We are given to find the vertex of the following function.
We know that the vertex of the function is given by (h, k).
So, for the given function f(x), the vertex will be (-1, -7).
The graph of the function f(x) is shown in the attached figure, where the vertex is at the point (-1, -7).
Thus, the vertex of the function is (-1, -7).
Answer:
Step-by-step explanation:
The given regular polygon has 3 sides, therefore, it is a triangle with all sides equal and called equilateral triangle.
The area of equilateral triangle is given by:-
, where a is the side length of equilateral triangle.
Now, the area of given equilateral triangle with sides = 16 ft. is given by:-
Answer:
Option D
Step-by-step explanation:
A type I error occurs when you reject the null hypothesis when it is actually true.
The null hypothesis in this case is minimum breaking strength is less than or equal to 0.5.
A type one error would be allowing the production process to continue when the true breaking strength is below specifications.
Answer: $2,150
Step-by-step explanation:
The amount taken was $2,000
The interest rate was 2.5%
Period is 3 years.
The formula for simple interest is:
= Amount * ( 1 + rate * time)
= 2,000 * ( 1 + 2.5% * 3)
= $2,150
The first tank contains
486 gal - (4 gal/week) <em>t</em>
gal of water after <em>t</em> weeks.
Similarly, the second tank contains
648 gal - (7 gal/week) <em>t</em>
gal of water.
The tanks hold the same amount of water when these two amounts are equal:
486 gal - (4 gal/week) <em>t</em> = 648 gal - (7 gal/week) <em>t</em>
(7 gal/week) <em>t</em> - (4 gal/week) <em>t</em> = 648 gal - 486 gal
(3 gal/week) <em>t</em> = 162 gal
<em>t</em> = (162 gal) / (3 gal/week)
<em>t</em> = 54 weeks