The answer is 240
Explanation: The Least Common Multiple (LCM) is the smallest number that two or more numbers will divide into evenly. NOTE: to find LCM you first need to know how to find GCD.
First we will find LCM for first two numbers ( 16 and24 ).
Step 1: Find the GCD (Greatest Common Divisor ) of 16 and 24 which is 8.
Step 2: Multiply the numbers 16 and 24 together ( 16 * 24 = 384 )
Step 3: Divide the 384 with 8. (384/8 = 48)
So, the LCM of 16 and 24 is 48.
Now we will find the LCM of above result (48) and third number ( 40 ) using the same procedure.
The result of this part is 240
I'm guessing the function is

which, split into partial fractions, is equivalent to

Recall that for
we have

With some rearranging, we find

valid for
, or
, and

valid for
, or
.
So we have



Taken together, the power series for
can only converge for
, or
.
Using the scatter plot, it is found that 4 visitors were there during the fourth hour.
<h3>What is a scatter plot?</h3>
- A scatter plot is similar to a function graph, as for each value of x, it will have the corresponding value of y.
Researching the problem in the internet, it is found that:
- The values of x represents each hour.
- The corresponding y-value represents the number of visitors during hour x.
- In the plot, we have that when x = 4, y = 4, hence, 4 visitors were there during the fourth hour.
To learn more about scatter plot, you can take a look at brainly.com/question/22968877
Based on the given options, the inequality for the acceptable weights of the suitcase is 32.5 ≤ x ≤ 47.5.
<h3>What is the acceptable weight for the suitcase?
</h3>
You didn't include the full question but this question can be answered based on the given options.
When inequalities are written, there is no inclusion of "or" which eliminates options A and C.
It is illogical to have an inequality as 32.5 ≥ x ≥ 47.5. This is because if 32.5 is larger or equal to x, then x cannot be larger than 47.5. This is mathematically impossible.
This leaves the likely answer as 32.5 ≤ x ≤ 47.5 which means that the weight of the suitcase has to be larger than or equal to 32.5 but less than or equal to 47.5.
Find out more on inequalities at brainly.com/question/24372553.
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Step-by-step explanation:
first think is income,taxable charge ,taxable yearly
charge