Answers:
1, 6, 36, 216: Geometric
12, 4, -4, -12: Arithmetic
1, 2, 8, 64: Neither
-216, -72, -24, -8: Geometric
Explanations:
Arithmetic Sequence: Every number in the sequence is either added or subtracted by the same number. We know that 12, 4, -4, -12 is arithmetic because each number in the sequence is subtracted by 8.
Geometric Sequence: Every number in the sequence is either multiplied or divided by the same number. We know that 1, 6, 36, 216 is geometric because each number in the sequence is multiplied by 6. We also know that -216, -72, -24, -8 is geometric because each number in the sequence is being divided by 3.
Neither: 1, 2, 8, 64 is neither because it is not being added, subtracted, multiplied, or divided by the same number.
I hope this helped!
<h3>
Answer: 17</h3>
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Explanation:
This is a piecewise function. It's composed of 3 pieces of other functions. A piecewise function is a function that changes its identity based on what the input is.
We have three different situations here
- If t = 17, then h(t) = sqrt(17t) based on what the first row says
- If t = 19, then h(t) = -34/t which is the second row of the piecewise function.
- If t does not equal either 17 or 19 (ie t is anything but those values), then h(t) = 23-t
The notation h(17) means we want to evaluate h(t) when t = 17. So we'll use the first case mentioned above. Plug t = 17 into h(t) = sqrt(17t) to get...
h(t) = sqrt(17t)
h(17) = sqrt(17*17)
h(17) = sqrt(17^2)
h(17) = 17
In the last step, I used the rule that sqrt(x^2) = x when x is nonnegative.
It cannot be expressed as a decimal because it is a whole number but it could be written like this, 2410.0
Answer:
Well the original price would be $44
Step-by-step explanation:
So make an equation
Lets make X stand for the price before the deduction
so x-x(0.3)=30.80
Subtracting the X by x(0.3) would tell us the price, the 0.3 stands for 30 percent and we know its 30 percent of X so we subtract that since 0.3x would give the change
Now just solve the equation
You’ll get 44.
Answer:
The inter quartile range is 55
Step-by-step explanation:
<u>Interquartile range</u>:-
<u>Definition</u>:-
The inter quartile range is the difference between the upper (Q3) and lower(Q1) quartiles, and describes the middle 50% of values when ordered from lowest to highest.
Interquartile range = higher quartile - lower quartile
given data 50.25.80.10
write the ascending order 10 25 50 80
Step:-1
Median:- The median is obtained by first arranging the data in ascending or descending order and applying the following rule.
If the number of observations is odd, then the median is
observations
Step2:-
The median is obtained by first arranging the data in ascending or descending order and applying the following rule.
If the number of observations is even, then the median is 

In given data the number of observations is '4'(even)
If the number of observations is even, then the median is 

median is
is 2 observations and
is 2.5 observations.
so we have to select average of these two observations.
therefore the median is '3' observation
median of the given data = 50
<u>Step:3</u>
Interquartile range = higher quartile - lower quartile
= 80-25
=55