
generate by: Amplitude:5 Period:4
Phase shift:(3 to the right) Vertical shift:-2
x=3,g(x)= 3
x=4,g(x)= -2
x=5,g(x)= -5
x=6,g(x)= -2
x=7,g(x)= 3
the graph is like cos(x)
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The equation of the least-squared regression line is: In(Element) = 2.305 - 0.101(Time).
<h3>What is a regression line?</h3>
A regression line displays the connection between scattered data points in any set. It shows the relation between the dependent y variable and independent x variables when there is a linear pattern.
According to the given problem,
From the table we can see,
ln(Element) is the dependent variable and Time is the independent variable.
The constant = 2.305,
Time = -0.101
Hence, we can conclude, our least squared regression line will be
In (Element) = 2.305 - 0.101 (Time).
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Answer:
58%
Step-by-step explanation:
Given the exponential relation :
Y=52(0.42)^x
Since 0.42 is less than 1, then we can infer that the expression is a Decay function ;
. General form of a exponential function :
y = A(1 - r)^x ; r = Decay rate
Comparing the general equation with the equation given ;
The percentage rate of decrease is obtained thus :
1 - r = 0.42
1 - 0.42 = r
r = 0.58
Rate = 0.58 * 100%
Rate = 58%
Answer:
The 3 feet fabric will cost $ 1.09728 almost $ 1.10
Step-by-step explanation:
First we will find out how many meters 3 feet will be.
1 feet = 0.3048 meters
She needs 3 feet of fabric
3 *1 feet = 3* 0.3048 ( multiplying both sides by 3)
3 feet = 0.9144 meters
Using the unitary method we will find the cost of 3 feet of fabric
1 meter costs $ 1.20
0.9144 *1 meter costs $ 1.20 * 0.9144 ( multiplying both sides by 0.9144)
0.9144 meter = $ 1.09728
The 3 feet fabric will cost $ 1.09728 almost $ 1.10
Answer:
$7.42
Step-by-step explanation:
1. divide $3.18 by 3 (it equals $1.06)
2. multiply $1.06 by 7 (it equals $7.42)