Convert all the numbers to real numbers:
6√3 = 10.3923
(3.5)^2 = 12.25
√75 = 8.660
9.8 = 9.8
57/5 = 11.4
A) Now order from largest to smallest:
(3.5)^2, 57/5, 6√3, 9.8, √75
B) We found the order by solving the equations to get real numbers.
C)
Since the numbers are multiplied by a negative number, the greatest number would be the smallest number because it would be closer to zero.
The order would be the reverse of part A:
x√75, 9.8x, 6x√3, 57x/5, x(3.5)^2
D) I replaced x with -1 and calculated for real numbers. All the values were the same as A except they were the negative value.
A statement which best describes the function shown in the table is: B. exponential, there is a continual rate of decay or decrease.
<h3>What is an exponential function?</h3>
An exponential function is a mathematical function whose numerical values (numerals) are generated by a constant that is raised to the power of an argument.
<u>Given the following table:</u>
X : -4 -1 2 4 5
Y : 16 2 0.25 0.0625 0.03125
Next, we would calculate the rate of decay for the y-values:
16/2 = 2/0.25 = 0.25/0.0625 = 0.0625/0.03125 = 8
<u>Rule:</u> The y-values constantly decreases by 1/4 or 0.25 of the previous number.
In conclusion, we can logically deduce that the function shown in the table is exponential, there is a continual rate of decay or decrease.
Read more on exponential functions here: brainly.com/question/12940982
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Answer:
Because the product is always non-termination,non-repeating decimal.
Step-by-step explanation:
If we have 
is irrational; 
is rational such that 
, then 
is irrational.
A way to represent this is:
Note that we have a contradiction, because is not a rational number, as I stated in the beginning. Therefore, ab is irrational.
Answer:
Malcolm is showing evidence of gambler's fallacy.
This is the tendency to think previous results can affect future performance of an event that is fundamentally random.
Step-by-step explanation:
Since each round of the roulette-style game is independent of each other. The probability that 8 will come up at any time remains the same, equal to the probability of each number from 1 to 10 coming up. That it has not come up in the last 15 minutes does not increase or decrease the probability that it would come up afterwards.
