Answer:
The remainder is 1
Step-by-step explanation:
Given the Fibonacci sequence
F_1 = F_2 = 1, and
F_(n + 2) = F_(n + 1) + F_n
We want to find the remainder when F_(1999) is divided by 5.
Let us write the first 20 numbers of the sequence in (mod 5). They are
F_1 = 1,
F_2 = 1,
F_3 = 2,
F_4 = 3,
F_5 = 5 = 0 (mod 5),
F_6 = 3,
F_7 = 3,
F_8 = 1
F_(9) = 4
F_(10) = 0
F_(11) = 4
F_(12) = 4
F_(13) = 3
F_(14) = 2
F_(15) = 0
F_(16) = 2
F_(17) = 2
F_(18) = 4
F_(19) = 1
F_(20) = 0
We have: 1, 1, 2, 3, 0, 3, 3, 1, 4, 0, 4, 4, 3, 2, 0, 2, 2, 4, 1, 0
Now, 1999 = 19(mod 20)
The 19th number in the sequence is 1.
So, the remainder is 1.
The line plot shows it increases
Using a calculator, the equation for the line of best fit where x represents the month and y represents the time is given by:
a. y = −1.74x + 46.6
<h3>How to find the equation of linear regression using a calculator?</h3>
To find the equation, we need to insert the points (x,y) in the calculator.
For this problem, the points (x,y) are given as follows, from the given table:
(1, 46), (2, 42), (3,40), (4, 41), (5, 38), (6,36).
Hence, inserting these points in the calculator, the equation for the line of best fit where x represents the month and y represents the time is given by:
a. y = −1.74x + 46.6
More can be learned about a line of best fit at brainly.com/question/22992800
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Answer:
3x+4y=20
Step-by-step explanation:
The slope-intercept equation would be:
y=mx+b
y=-3/4(x)+5
But standard form is
ax+by=c
We can obtain this by moving the -3/4(x) to the left side
Multiply both sides by 4 to get rid of the fraction
3x+4y=20
Answer: 55 minutes
Step-by-step explanation:
First, you would have to subtract 5 from 225 because there are already 5 monsters there.
225-5= 220
Next, you would have to divide 220 by 4 to find the amount of minutes.
220/4= 55
