Hello from MrBillDoesMath!
Answer:
5
Discussion:
Consider the expansion of e^x:
e^x = 1 + x + x^2/2 + x^3/6 +...... => replace x by 5t
e^(5t) = 1 + (5t) + (5t)^2/2 + .... => subtract 1 from both sides
e^(5t) - 1 = (5t) + (5t)^2/2+.... => divide both sides by t
(e^(5t) -1)/ t = 5 + (25/2) t +....
so as t ends to 0 the quotient tends to
5 + (25/2)0 + (other terms) *0 -> 5
Thank you,
MrB
Answer:
D. for the first one, A. for the second (not certain)
Step-by-step explanation:
1. 36/2 (two books every visit) = 18, multiplied by 3 because that's how many often he does to the library (every 3 weeks)
2. 13/2 = w/5 because for every 13 cups of water, there is two cups of cleaner, so for w (unknown amount of water) there would be 5 cups of concontrated cleaner.
Answer:
3x + 3
Step-by-step explanation:
Answer:
9 * 10^4 is 300 times larger than 3 * 10^2
Step-by-step explanation:
Here, we want to compare the two figures and give the verdict on how big they are
as we can see, by squaring the second figure, we get the first
Mathematically, what we are saying is that;
(9 * 10^4) = (3 * 10^2)^2
So
basically, the difference between the two is to the tune of (3 * 10^2)
Hence we can conclude that the first number is 300 times bigger than the second number
Answer:
£
Step-by-step explanation:
£1 = €1.14 /
£
=144€= 
£
