The exponential function is
f(x)=ab^x, where b is the base, the number to multiply every time x is increased by 1.
If f(x)=92, f(x+4)=280, then
f(x+4)/f(x) = 280/92 = ab^(x+4)/(ab^x) = b^4
to find the base b,
b^4=(280/92)
b=(280/92)^(1/4) ..... fourth root, or take square-root twice
=3.4035^(1/4)
=1.3208 (accurate to 4 places of decimal).
Edit: 92*1.3208^4 gives 279.9858 (missing little bit because of accuracy).
A slightly better accuracy would be
base = 1.320816698856163
and 92*1.320816698856163^4 would still be 279.9999999999993, but VERY close to 280.
So it all depends on the accuracy you need.
If you need more accuracy, please tell me how many accurate digits you'd like the results.
Here it is:
base = 1.320816698856163713875997666455513013800337299231824403890097792042432005288739246325005446716740
and if you multiply together
92*base^4, you will get 280 accurate to at least 90 digits after the decimal.
I think that should be sufficient for what you need. Recall that these calculations cannot be done or verified on a 10 or 12 digit calculator.
Well, to please you, I have calculated it to 500 digits, don't think that's going to be of much practical use for anybody.
By the way, that's as far as I will do this evening. My eyes are almost closing!
base=1.3208166988561637138759976664555130138003372992318244038900977920424320052887392463250054467167408005624428737585147309981331510076693180633495574937759374668399829195521733208637815593771220504215429477168159456265024711237470736388371979840461777898466419772297172931568429339640964205400234392902077320257671263508487367942846685479533507498695981037274512050120058009244868634949261015429944340565311559486391625531554216085859773912355361847787636892603324966350039688974359584811585283183726532
I think this is easy. So, you start off with 4 3/4. Then, you use 1 1/10 and also use 2 extra pounds. So, you would convert the mixed fractions to improper ones. 4 3/4 would be 19/4 because 4x4=16+3=19 and you put 19 over four.- 19/4. Then, do the same thing with 1 1/10, 1x10=10+1=11/1. You also have 2, but thats not mixed so we're going to make it improper. 2 has become 2/1. Subract 19/4 from 11/1 and also subtract that from 2/1. You will get 6/2. 6 will go into 2, two times and with this you will get 3. So, you can say 19/4-11/1-2/1=6/2 which equals 3. Hope this helps!!!
56, insert 10 for x and solve using pedmas
one second let me update
56 is wrong
sorry lol
Answer:
Mars is the fourth planet from the sun. It has been a favorite object of skywatchers for centuries and of space explorers for decades. The distance to Mars depends on when you measure it, and which vantage points you're considering. Just how far away is the Red Planet?
Hope this helps!
Three A grows 1 meter in 110/45 = 2.44 years;
Three B grows 1 meter in 1840/110 = 16.72 years;
Because 2.44 < 16.73, the tree A grows faster than tree B.
