Answer:
Step-by-step explanation:
I really hope you know how to use your calculator to find regression equations, because in this forum it is impossible to teach you how to do that. I ran the data through my calculator and got the exponential equation as
which means at 4 hours, we started with 1963 bacteria and it is growing at a rate of 114% each hour. Since we started out with an x value of 0, and that value represents the number of bacteria after 4 hours, then time 0 is 4 hours, which means that time 12 is 16 hours. We replace the x in the equation with a 12 and do the math:
which gives us, in the end,
y = 9460
Answer:
31.25
Step-by-step explanation:
The general form of a complete square would be (x + a)^2 + b
Given an equation of X^2 + 15X + 25 = 0,
the idea is to reduce it into the form if (X + C)^2
which can be expanded into X^2 + 2XC + C^2
In this case 15 will be our 2C So our c will be 7.5.
Substituting in these numbers,
We have X^2 + 15X + (7.5)^2 = 0
However our original equation has 25 for its C^2, thus
we need to add 31.25 in order to get (7.5)^2
<u>FYI</u>
The final completed form will be (X + 7.5)^2 - 31.25
Let's assume
point K as (x,y)
M is the midpoint of JK
so, other point as J(0, 11)
M(-3,2)
now, we can compare both sides
Calculation of x-coordinate:
we get
Calculation of y-coordinate:
we get
so, we will get point K
K=(-6,-7)............Answer
Answer:
660 exchanges
Step-by-step explanation:
Number of relatives = 12
Number of years = 5
Since each relative gives gift to one another each year:
Then each relative hands out 11 gifts (person giving out the gift will not be counted) to the others, and others also do the same.
Therefore, yearly exchange :
(Number of relatives * number of gifts given out per person)
(12 × 11) = 132
Number of exchanges after 5 years :
(Number of yearly exchanges × number of years)
(132 × 5) = 660
