The range of the function is 
Explanation:
The function is 
The domain of the function is 
We need to find the range of the function.
The range can be determined by substituting the values of domain in the function.
Thus, the range of the function when the domain is -3 is given by

          
          
Thus, the range is -19 when 
The range of the function when the domain is 0 is given by

        
        
Thus, the range is -4 when 
The range of the function when the domain is 4 is given by

        
        
Thus, the range is 16 when 
Thus, the range of the function is  when their corresponding domain is
 when their corresponding domain is 
Arranging the range in order from least to greatest is given by

Hence, the range of the function is 
 
        
             
        
        
        
The time taken by the rock will be 8.77 seconds.
<h3>What is speed?</h3>
Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance.
Given that:-
The equation for free fall at the surface of some planet (s in meters, t in seconds) is s = 2.86t²
The time will be calculated by using the speed formula.
Speed = Distance \ Time 
25.1   = 2.86t² \ t
t   =  25.1 / 2.86
t   =  8.77 seconds
Therefore the time taken by the rock will be 8.77 seconds.
To know more about Speed follow
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Answer:
hii there 
The correct answer is ( D )
hope it helps you 
have a nice day 
 
        
             
        
        
        
There are 12 inches in one foot. 120 x 12 = 1,440 inches. The correct ratio to be placed is the 5th one (aka 12 inches over 1 foot).
 
        
             
        
        
        
Answer:
a) P(X>np+3 =0.017
=0.017
b) P(x>1)=0.190
c) P(Y>1)=0.651
Step-by-step explanation:
This a binomial experiment where success is denoted by parts that need rework.
X ∼ B(n, p); n = 20; p = 0.01
The expected value of X is: E(X) = np =20×0.01= 0.2
The variance is: Var(X) = np(1 − p) = 0.2 × 0.99 = 0.198,
The standard deviation SD(X)=  ≈ 0.445
 ≈ 0.445
a) P(X>np+3 =P(X>0.2+3×0.445)=P(X>1.535)=P(X≥2)
=P(X>0.2+3×0.445)=P(X>1.535)=P(X≥2)
Probability function is given by:

P(X≥2)=1-P(X<2)=1-P(X=1)-P(X=0)= 1 -  -
-
P(X≥2)=1-0.165-0.818=0.017
b) p=0.04
P(x>1)=P(x≥2)= 1 - P(x=1) - P(x=0)= 1 -  -
 - 
P(x>1)= 1 - 0.368 - 0.442=0.190
c) In this case we consider p=0.19 (Probability that X exceeds 1)
In this experiment Y is the number of hours and n= 5 hours.
Then, we check the probability in each hour:
P(Y>1)=1- P(Y=0)
P(Y=0)= =0.349
=0.349
P(Y>1)=1-0.349=0.651