Answer:

Step-by-step explanation:
The given equation is

We take logarithm of both sides to base 10.


We expand the brackets to get;

Group similar terms;




To the nearest hundredth.

<h2>
Answer:</h2><h2>
The rate of reading a book per month =
= 20%</h2>
Step-by-step explanation:
Nathan read 2 books in 10 months.
The time taken to complete 1 book =
= 5 months
To complete 1 book it takes 5 months.
The rate of reading a book per month =
= 20%
Answer:
A(t) = 300 -260e^(-t/50)
Step-by-step explanation:
The rate of change of A(t) is ...
A'(t) = 6 -6/300·A(t)
Rewriting, we have ...
A'(t) +(1/50)A(t) = 6
This has solution ...
A(t) = p + qe^-(t/50)
We need to find the values of p and q. Using the differential equation, we ahve ...
A'(t) = -q/50e^-(t/50) = 6 - (p +qe^-(t/50))/50
0 = 6 -p/50
p = 300
From the initial condition, ...
A(0) = 300 +q = 40
q = -260
So, the complete solution is ...
A(t) = 300 -260e^(-t/50)
___
The salt in the tank increases in exponentially decaying fashion from 40 grams to 300 grams with a time constant of 50 minutes.
What’s the rest of the question
Ok so basically.... 15^2= 9^2+ x^2
15*15
225= 81+x
-81. -81
144=x^2
12=X
Im pretty sure it’s right!
I used the formula A^2+B^2=C^2