<h2>
Answer:</h2>
Shown below
<h2>
Step-by-step explanation:</h2>
The most famous of the step functions is the greatest integer function, which is denoted by the parent function ![[x]](https://tex.z-dn.net/?f=%5Bx%5D)
.
So, this function is defined as:
![f(x)=[x] \ the \ greatest \ integer \ less \ than \ or \ equal \ to \ x](https://tex.z-dn.net/?f=f%28x%29%3D%5Bx%5D%20%5C%20the%20%5C%20greatest%20%5C%20integer%20%5C%20less%20%5C%20than%20%5C%20or%20%5C%20equal%20%5C%20to%20%5C%20x)
.
These are the characteristics of this function:
- The domain of the function is the set of all real numbers.
- The range of the function is the set of all integers.
- The graph has a
at 
and 
in the interval 
- The graph is constant between each pair of consecutive integers.
- The graph jumps vertically one unit at each integer value.
The function ![F(x)=[x]-2](https://tex.z-dn.net/?f=F%28x%29%3D%5Bx%5D-2)
represents the parent function shifted 2 units downward. Therefore, the correct option has been chosen in the attached figure.
1st box: 2a (subtract 2a from both sides)
2nd box: 3 (add 3 to both sides)
3rd box: 10 (add 7+3)
4th and 5th box: 2 (divide both by 2)
6th box: 5 (10/2=5)
1. Add up all the profits:
3.2 + 1.8 + 6.4 = $11.4 million
2. Add up all the losses:
4.5 + 2.7 = $7.2 million
3. Profits - Losses = Total Profit so far
$11.4 million - $7.2 million = $4.2 million
4. What happened in the last month?
The net profit is $7.5 million. This means the last month must have had a profitable month to equal $7.5 million.
7.5 - 4.2 = $3.3 million profit in the last month
For independent events,
P(X ∩ Y) = P(X)* P(Y)
=>
1/3 = P(X)*(5/6)
solve for P(X) =>
P(X) = (1/3)*(6/5) = 2/5 = 0.4
The exact values of the trigonometric identities cos, csc and tan as required in the task content are; -√41/5, -√41/4 and 4/5 respectively.
<h3>What are the exact values of cos, csc and tan as required in the task content?</h3>
It follows from above that the terminal side of the angle theta as described is on the point with coordinates (-5, -4).
Hence, the points spans 5 units leftwards and r units downwards on x and y axis respectively.
Hence, the length of the line that describes the angle by Pythagoras theorem is;
h = √((-4)² + (-5)²)
h = √41.
Hence, it follows from trigonometric identities that;
Cos (theta) = -5/√41.
Csc (theta) = -√41/4
Tan (theta) = 4/5
Read more on trigonometric identities;
brainly.com/question/24496175
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