Answer:
The constant of proportionality in the equation y=0.41 is 0.41
Step-by-step explanation:
<span>we know that if 95 is out of 100%, we can write it down as 95 = 100%. w</span><span>e also know that x is 20% of the output value, so we can write it down as x = 20%. </span>
now we have the equations:
95=100%
x=20%
next we will put the equations together
95/x = 100%/20%
95/x=100/20
<span>(95/x)*x=(100/20)*x
</span>we multiply both sides of the equation by x
<span>95=5*x
</span>now we divide both sides of the equation by 5 to get x
<span>95/5=x </span>
<span>19=x </span>
x=19
we now know that <span>20% of 95 = 19
let me know if you have any other questions
:)</span>
Answer:
x/5
Step-by-step explanation:
To get the inverse function you need to leave the x alone and then switch variables ( f(x) = y)
f(x) = 5x
y = 5x
y/5 = x
Now that x is alone you switch the x for y and the y for x and you get:
x/5 = y
And this new y is the inverse function of f(x) ( f^-1(x))
f^-1(x) = x/5
Answer:
The 100th term of the sequence is 503.
Step-by-step explanation:
Given : Sequence 8, 13, 18,23, 28,...
To find : The 100th term in the sequence ?
Solution :
Sequence 8, 13, 18,23, 28,... is the arithmetic sequence
Where, First term is a=8
The common difference is d=13-8=5
The nth term of the sequence is given by 
The 100th term is given by,
The 100th term of the sequence is 503.
The answer is 25 because 4 x 25 is 100
