Answer:
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Step-by-step explanation:
<h3>
Answer: f(x) = x + 13 </h3>
This is the same as y = x+13
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Explanation:
Let's find the slope
I'll use the first two rows as the (x1,y1) and (x2,y2) points
m = (y2-y1)/(x2-x1)
m = (19-18)/(6-5)
m = 1/1
m = 1
The slope is 1.
Now apply the point slope formula and solve for y
y - y1 = m(x - x1)
y - 18 = 1(x - 5)
y - 18 = x - 5
y = x-5 + 18
y = x + 13
f(x) = x + 13 is the final answer
As a check, note how something like x = 5 leads to...
f(x) = x+13
f(5) = 5+13 ... replace x with 5
f(5) = 18
We see that x = 5 leads to f(x) = 18. That verifies the first row. I'll let you check the remaining three rows.
The equation y = x+13 has slope 1 and y intercept 13.
190+135+220=445. 360(the degrees in a circle)/445(the number of students)=0.81. Each student is worth 0.81 degrees. 0.81x190(the number of students that like the program)=135.9. That rounds up or 136 so the answer is 136 degrees.
For this case we have that by definition, the volume of a rectangular prism is given by:

Where:
It is the area of the base
h: It is the height
So:

The volume of the prism is:

Now, the volume of the cubes is:

Thus, we divide and find the number of cubes to fill the prism:

ANswer:
n = 2.5
Given the equation;

To solve, let us multiply through by the least common multiple of the the denominator of the three fractions wich is 24;