The change represents decay and the percentage decrease is 2.9%
<h3>Exponential function</h3>
The standard exponential function is expressed as y = ab^x
where:
a is the initial
b is the rate
If the value of b is less than 1 hence the function is decay and if greater than 1, the function is growth
GIven the expoenential function y=100(0.971)^x
Since the value of b = 0.971 < 1, hence the function is a decay.
The percentage decrease = 1 - 0.971 = 2.9%
Hence the percentage decrease is 2.9%
Learn more on exponential function here: brainly.com/question/12940982
Answer:
6 1/3
Step-by-step explanation:
Answer:
140
Step-by-step explanation:
Answer:
30°
Step-by-step explanation:
Area of a triangle can be found using either of the formula:
1. area = 1/2 x base x height
2. area = 1/2 ab sin c
Since we know the length of the two edges, we will use the 2nd formula:
Area = 1/2 ab sin c
Substituting the known values:
28 = 1/2 (14)(8) sin c
28 = 56 sin c
sin c = 0.5
c = 30°
Answer:
The answers are:
a)
is FALSE.
b)
is TRUE.
c)
is FALSE.
d)
is FALSE.
e)
is FALSE.
f)
is TRUE.
g)
is FALSE.
h)
is FALSE.
Step-by-step explanation:
We can show that the FALSE statement are, in fact, false finding an example where the equality fails.
a) Take x=2 and y=3 and notice that (2+3)² = 25, while 2²+3²=4+9=13.
b) (x+y)² = (x+y)(x+y)=x²+xy+xy+y² = x² +2xy +y².
c) Take x=2 and y=3 and notice that 2/(2+3) = 2/5 which is different from 1/3.
d) Take x=2 and y=3 and notice that 2-(2+3) = 2-5=-3 which is different from 3. Recall that x-(x+y) = x-x-y=-y.
e) Take x=-2, and notice that [tax]\sqrt{(-2)^2} = \sqrt{4} = 2[/tex] which is different from -2.
f) The previous example illustrate why this is true.
g) Take x=1, and notice that
which is different from 3.
h) Take x=2 and y=3 and notice that 1/(2+3)=1/5 and 1/3+1/2 = 5/6.