3 periods, 20 minutes each
20 * 3 = 60 minutes
12 minutes per period
12 * 3 = 36
So the ratio is 36:60, or simplified: 3:5
Answer:
Example of an equation with an undefined slope: x = 2
Step-by-step explanation:
<h2>Definitions</h2>
The standard form of linear equations with an <u>undefined slope</u> is <em>x</em> = <em>a</em>, whose graph represents a vertical line. The value of a in the standard form is the x-intercept, (<em>a</em>, 0).
The slope is the ratio of the vertical change in y-values to the horizontal change in x-values.

The slope of a vertical line is undefined because if we were to solve its slope, the denominator will be zero. As we know, division by zero is an undefined operation.
<h2>Example:</h2>
For example, suppose that we have the following points (2, 5) (2, 10).
Let (x₁, y₁) = (2, 5)
(x₂, y₂) = (2, 10)
Substitute these values into the slope formula:

Dividing the numerator, 5, by the denominator, 0, will have an undefined quotient.
Thus, the equation of the <u>vertical line</u> will be: x = 2, where <em>a</em> = 2.
Answer:
1.5 hours
Step-by-step explanation:
when norman left and 30 minutes passed he had traveled 20mph
norman. earl
30 min passed. 20mph. 0mph
1 hr passed. 40mph. 30mph
1 hr 30 min. 60mph. 60mph
Answer:
85 notes
Step-by-step explanation:
2 coins : 5 notes
1 coin : 2.5 notes
34 coins : __ notes
^
I
I
(multiply by 2.5 to get amount of notes)
Answer:
a = 1500
b = 0.97
Step-by-step explanation:
Let's define 2014 as our t = 0.
Then t = 1 will be 2015, and so on.
We know that in 2014 the population was 1500.
It decreases at an annual rate of 3% or 0.03 in decimal form.
Then in 2015, the population was: 1500 - 1500*0.03 = 1500*(0.97)
In 2016, the population was: 1500*(0.97) - 1500*(0.97)*0.03 = 1500*(0.97)^2
We already can see the pattern.
t years after 2014, the population will be:
f(t) = 1500*(0.97)^t
Now, answering the question:
using f(t)=a(b)^t what is the value of a and b?
a = 1500
b = 0.97