Answer:
The function that represents the mass of the sample after t days is  .
.
The percentage rate of change per hour is of -2.46%.
Step-by-step explanation:
Exponential amount of decay:
The exponential amount of decay for an amount of a substance after t days is given by:

In which A(0) is the initial amount, and r is the decay rate, as a decimal.
Element X is a radioactive isotope such that its mass decreases by 59% every day. The experiments starts out with 390 grams of Element X.
This means, respectively, that 
So



The function that represents the mass of the sample after t days is  .
.
Hourly rate of change:
Decreases by 59% every day, which means that for 24 hours, the rate of change is of -59%. So
-59%/24 = -2.46%
The percentage rate of change per hour is of -2.46%.
 
        
             
        
        
        
Take note that the vine was 3.6 ft and now it is 2.1 times as long.
So since is it 2.1 times as long it will be multiplied by 3.6.
3.6(2.1)= 7.56
So it is 7.56 ft long, rounded it is 7.6 ft
 
        
                    
             
        
        
        
Answer:
42
Step-by-step explanation:
 
        
                    
             
        
        
        
To solve the problem shown above, you must follow the proccedure shown below:
 1. By definition, Completary angles are those angles whose sum is 90 degrees and Suplementary angles are those angles whose sum is 180 degrees.
2. Keeping the information above on mind, you have:
<span>
 (a) An angle measures 43 . What is the measure of its complement? 
 =90°-43°
 =47°
 (b) An angle measures 81 . What is the measure of its supplement?
</span>
 =180°-81°
 =99°
 The answers are:
 a) 47°
 b) 99°