Answer:
GCF = 3
Step-by-step explanation:
Express the numbers as a product of their primes.
42 = 2 × 3 + 7
30 = 2 × 3 × 5
45 = 3 × 3 × 5
Identify the prime factors common to all 3 numbers.
common prime factor = 3 , thus
GCF = 3
 
        
             
        
        
        
Answer:
B
Step-by-step explanation:
I graphed the equation, and the highest point was at 3.7 feet in the air, 4 seconds into the flight. See the graph below. Hope this helps!
 
        
             
        
        
        
Answer:
The bones were 12,485 years old at the time they were discovered.
Step-by-step explanation:
Amount of the element:
The amount of the element after t years is given by the following equation, considering the decay rate proportional to the amount present:

In which A(0) is the initial amount and k is the decay rate, as a decimal.
The radioactive element carbon-14 has a half-life of 5750 years.
This means that  , and we use this to find k. So
, and we use this to find k. So







So

A scientist determined that the bones from a mastodon had lost 77.8 % of their carbon-14. How old were the bones at the time they were discovered?
Had 100 - 77.8 = 22.2% remaining, so this is t for which:

Then






The bones were 12,485 years old at the time they were discovered.
 
        
             
        
        
        
Answer:
e= -5.41
Step-by-step explanation:
Hello!
In linear regression, a residual value is a distance between the observed values and the regression line.
The residual value (e) is calculated as the difference between the observed value (Y) and the predicted value (^Y).
e= Y - ^Y
e= 15.92 - 21.33 = -5.41
I hope it helps!
 
        
             
        
        
        
Answer:
Susan is 3 years  and Debbie is 8 years old. after 2 years Susan will be 5 Years and Debbie will be 10 years old
Step-by-step explanation:
let the present age of Susan be x years then Debbie is x+5 years
in 2 years
x +2 = x+5+2/2
x+2=x+7/2
2x +4 = x+7
x=3