Answer:
2/7
Step-by-step explanation:
Find the seperate chances, those being 1/5 and 1/2 and add.
 
        
             
        
        
        
Answer:
The correct answer will be "0.756596 m²".
Step-by-step explanation:
The given values are:
The radius of an umbrella,
r = 0.4 m
The height of an umbrella,
h = 0.45 m
As we know,
The lateral surface of an umbrella will be:
⇒  
On substituting the values, we get
⇒  
⇒  
So that the amount of fabric needed will be "0.756596 m²".
 
        
             
        
        
        
Answer:
2
Step-by-step explanation:
we have:
-11-(-13)
-11 +13
2
 
        
                    
             
        
        
        
Answer:
3.48 hours
Step-by-step explanation:
The equation is:

Where
M(t) is the amount of medication remaining in mg
t is the time it takes, in hours
The questions asks HOW LONG it will take to make the remaining medication to 1 milligrams (1 mg)??
We have to substitute M(t) with "1" and find the corresponding value of "t". We will use natural log to solve this. Shown below:

<u>Note: </u> Ln(e) = 1
This means, the amount of time it will take is about 3.48 hours
 
        
             
        
        
        
Answer:
   see below
Step-by-step explanation:
The formula for the sum of an infinite geometric series with first term a1 and common ratio r (where |r| < 1) is ...
   sum = a1/(1 -r)
Applying this to the given series, we get ...
a. sum = 5/(1 -3/4) = 5/(1/4) = 20
b. sum = d/(1 -1/t) = d/((t-1)/t) = dt/(t-1)
_____
The derivation of the above formula is in most texts on sequences and series. In general, you write an expression for the difference of the sum (S) and the product r·S. You find all terms of the series cancel except the first and last, and the last goes to zero in the limit, because r^∞ → 0 for |r| < 1. Hence you get ...
   S -rS = a1
   S = a1/(1 -r)