Answer:
Step-by-step explanation:
y=59(0.59)ˣ
As the number under the exponent is less than 1, this is a decay function.
Value of y will be decreased by (1.00 - 0.59)100 = 41% for each unit increase in x.
To find the distance per lap, divide the total feet, which is 5,280 by the number of laps which is 6. This means that 5280/6=880ft
Thus, Anne runs 880 feet per lap.
Answer:
a=42°
b=138°
Step-by-step explanation:
the sum of angles on a triangle is 180°
so
18+120+a=180
138+a=180
a=180-138
a=42
a+b=180 because a ans b are linear pair of angles.
Definiton:A linear pair of angles is formed when two lines intersect. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.
a=42 from before
it means that b=180-42=138
Answer:
n = 29 iterations would be enough to obtain a root of
that is at most
away from the correct solution.
Step-by-step explanation:
You can use this formula which relates the number of iterations, n, required by the bisection method to converge to within an absolute error tolerance of ε starting from the initial interval (a, b).

We know
a = -2, b = 1 and ε =
so

Thus, n = 29 iterations would be enough to obtain a root of
that is at most
away from the correct solution.
<u>You can prove this result by doing the computation as follows:</u>
From the information given we know:
This is the algorithm for the Bisection method:
- Find two numbers <em>a</em> and <em>b</em> at which <em>f</em> has different signs.
- Define

- If
then accept c as the root and stop - If
then set <em>c </em>as the new<em> b</em>. Otherwise, set <em>c </em>as the new <em>a</em>. Return to step 1.
We know that
and
so we take
and
then 
Because
we set
as the new <em>b.</em>
The bisection algorithm is detailed in the following table.
After the 29 steps we have that
hence the required root approximation is c = -0.50