This chart represents a proportional relationship. The rate of change will be 4.
<h3>What is the constant of proportionality?</h3>
Firstly, there is a proportional relationship.
Two values x and y are said to be in a proportional relationship if x=ky, where x and y are variables and k is a constant.
The constant k is called the constant of proportionality.
Given;
x y
1 4
2 8
3 12
4 16
Here, x = ky
put the first value
k = 1/4
This chart represents a proportional relationship.
So the rate of change will be
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The difference between the 2 times would be .055 seconds...
Equation: f(x)=(1/5)x^2 or f(x)=(0.2)x^2
Check:
f(0)=(1/5)(0)^2
f(0)=(1/5)(0)
f(0)=0✓
f(5)=(1/5)(5)^2
f(5)=(1/5)(25)
f(5)=5✓
Z score = (x -mean) / standard deviation.
For this problem X = 50 cm.
Z-score = (50 - 49.2) / 1.8
Z score = 0.8 / 1.8
Z score = 0.44
Look up 0.44 on a z-score table.
0.44 = 0.6700
0.67 x 100 = 67% will be 50 cm or longer.
Answer:
x⁵ + 5x³ + 7x² + 35
Step-by-step explanation:
(x² + 5) (x³ + 7)
To distribute binomials (expressions with two terms), you can use the FOIL method (First, Outer, Inner, Last):
x⁵ + 7x² + 5x³ + 35
To put into standard form, rearrange from highest power to lowest power:
x⁵ + 5x³ + 7x² + 35
