For this case we have an equation of the form:
y = A * (b) ^ t
Where,
A: initial amount
b: decrease factor
t: time
Substituting values:
y = 30 * (b) ^ t
To calculate t we use a point in the table.
We have:
(t, y) = (1, 28.5)
Substituting:
28.5 = 30 * (b) ^ 1
b = 28.5 / 30
b = 0.95
Answer:
a. Decay factor is 0.95
<h2>
Answer:</h2>
For a real number a, a + 0 = a. TRUE
For a real number a, a + (-a) = 1. FALSE
For a real numbers a and b, | a - b | = | b - a |. TRUE
For real numbers a, b, and c, a + (b ∙ c) = (a + b)(a + c). FALSE
For rational numbers a and b when b ≠ 0, is always a rational number. TRUE
<h2>Explanation:</h2>
- <u>For a real number a, a + 0 = a. </u><u>TRUE</u>
This comes from the identity property for addition that tells us that<em> zero added to any number is the number itself. </em>So the number in this case is
, so it is true that:

- For a real number a, a + (-a) = 1. FALSE
This is false, because:

For any number
there exists a number
such that 
- For a real numbers a and b, | a - b | = | b - a |. TRUE
This is a property of absolute value. The absolute value means remove the negative for the number, so it is true that:

- For real numbers a, b, and c, a + (b ∙ c) = (a + b)(a + c). FALSE
This is false. By using distributive property we get that:

- For rational numbers a and b when b ≠ 0, is always a rational number. TRUE
A rational number is a number made by two integers and written in the form:
Given that
are rational, then the result of dividing them is also a rational number.
Co-terminal angle = 456 - 360 = 96 degrees
Answer:
B
Step-by-step explanation:
On a coordinate plane, an exponential function increases in
quadrant 3 into quadrant 4 and approaches y = 0. It goes through
(negative 1, negative 2) and crosses the y-axis at (0, negative 0.25) ⇒ last answer
HOPE IT HELPS ....
You have to jusitfy the step that leads from sin (x) = a/c and cos(x) = b/c to sin^2 (x) + cos^2(x) = [a^2 / c^2] + [b^2 / c^2].
As you can see go from the first statement to the second by substituting the value of sin(x) by a/x and the value of cos(x) by b/c.
Then, the answer is the option b. substitution property of equality.