Answer:
108 books.
Step-by-step explanation:
Let the number of magazines = m
Let the number of books = b
<u>Given the following data;</u>
Total number of m & b = 162
<em>Translating the word problem into an algebraic equation, we have;</em>
......equation 1
......equation 2
<em>Substituting equation "1" into equation "2" we have;</em>
m = 54
Now to find the number of books;
Substituting the value of "m" into the equation, we have;
<em>b = 108</em>
<em>Therefore, the total number of books in the library is 108 books. </em>
Answer:
If the radius of a cylinder is doubled and height is halved, the volume will be doubled. If the radius of a cylinder is doubled and height is halved, the volume will be doubled.
Step-by-step explanation:
I just search on g o o g l e
Given:
In triangle ABC, AB = AC, AD is angle bisector and measure of angle C is 49 degrees.
To find:
The value of x and y.
Solution:
In triangle ABC,
(Given)
So, triangle ABC is an isosceles triangle and by the definition of base angles the base angles of isosceles triangle are congruent.
In isosceles triangle ABC,
The angle bisector of an isosceles triangle is the median and altitude of the triangle. So, the angle bisector is perpendicular to the base.
In triangle ABD,
[Angle sum property]
Therefore, the correct option is B.
We are given the function:
g(x) = 6 (4)^x
Part A.
To get the average rate of change, we use the formula:
average rate of change = [g(x2) – g(x1)] / (x2 – x1)
Section A:
average rate of change = [6 (4)^1 – 6 (4)^0] / (1 – 0) =
18
Section B:
average rate of change = [6 (4)^3 – 6 (4)^2] / (3 – 2) =
288
Part B.
288 / 18 = 16
Therefore the average rate of change of Section B is 16 times
greater than in Section A.
<span>The average rate of change is greater between x = 2 to x = 3 than between
x = 1 and x = 0 because an exponential function's rate of change increases
with increasing x (not constant).</span>