I need help, i don't understand it. thank you in advance.

Think of it as a riddle.

You need to eliminate and match one city to one transport to one person in the end.

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Take a look at my diagram!*

Use each clue to eliminate the rows and columns until you have narrowed it down.

Below is my work. It would be too hard to explain every step of the way; it will work differently for everyone. Maybe look up the game "Telepathy". The concept is similar!

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I first read the instructions, eliminating and boxing the possible and impossible options.

If I ever got down to one empty spot in a column or row, I'd make sure to circle that and frequently write it down.

If you're doing this right, you will always be progressing. Don't doubt yourself; don't overthink it. It's the game of narrowing down and elimination. If you find yourself stuck, write what you know down. Use logic. Make sure you always look for rows that you forgot to cross out, or empty spots that you missed. Reread the instructions! You will get there!

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*The "eliminated" part is a bit confusing, they weren't entirely eliminated. It's just my thought process! I didn't continue to use it. Just remember to group the right things together!

Don't be scared of looking up the cities and if you don't know, their states!

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Conclusion:

John arrived by plane to Saint Louis meet up with his nephew.

John arrived by bus to Denver to visit his brother.

John came by train to Miami to visit his uncle.

John rode a cycle to Boston to meet up with his cousin.

John drove in a car to San Fransisco to visit his parents.

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Please let me know if you have any questions, or if this helped!

just find the gcf and solve the gcf's until you get each answer i have a really good feeling somethings missing xd (like the dimensions of the fence) *cough *cough *hint *hint

step-by-step explanation:

part a

answer: a reasonable domain is where n is a real number. so n can be between 0 and 10. both endpoints are included.

work shown:

n is the number of days after the experiment starts. the smallest n can be is n = 0 which means that 0 days have gone by, and we're at the start. to find out how large n should be, then replace f(n) with 16.13 and solve for n. use logarithms to isolate the exponent.

f(n) = 12*(1.03)^n

16.13 = 12*(1.03)^n

16.13/12 = (1.03)^n

1.34416666666667 = (1.03)^n

(1.03)^n = 1.34416666666667

log[ (1.03)^n ] = log[ 1.34416666666667 ]

n*log[ 1.03 ] = log[ 1.34416666666667 ]

n = log[ 1.34416666666667 ]/log[ 1.03 ]

n = 10.0062999823929

this rounds to n = 10 which is fairly close but not 100% perfect. so this is the largest n can be.

note: if you plug n = 10 into f(n), you'll get roughly 16.127 which rounds to 16.13 (this comes up again in part c)

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part b

answer: the y intercept is 12. it represents the starting height of the plant in cm.

work shown:

plug n = 0 into the f(n) function. simplify

f(n) = 12*(1.03)^n

f(0) = 12*(1.03)^0

f(0) = 12*(1)

f(0) = 12

on day n = 0, aka the starting point, the height f(n) is 12 cm

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part c

answer: the average rate of change is approximately 0.43061036458991 (round however you need to). this represents the average growth rate from day n = 3 to day n = 10. so the plant grew roughly 0.43 cm per day during this timespan, assuming you round to 2 decimal places.

work shown:

compute f(3)

f(n) = 12*(1.03)^n

f(3) = 12*(1.03)^3

f(3) = 13.112724 < we'll use this later

compute f(10)

f(n) = 12*(1.03)^n

f(10) = 12*(1.03)^10

f(10) = 16.1269965521294 < we'll use this later

now use the formula below with a = 3 and b = 10

aroc = average rate of change

aroc = [ f(b) - f(a) ]/[ b - a ]

aroc = [ f(10) - f(3) ]/[ 10 - 3 ]

aroc = (16.1269965521294 - 13.112724)/(10 - 3)

aroc = 3.0142725521294/7

aroc = 0.43061036458991

round this however you need to

note: the plant grew approximately 3.01 cm over 7 days, so roughly 0.43 cm per day is the average growth rate (if you were to round to 2 decimal places).