Which statement best explains why this expression is equal to 9.4? A)Any expression multiplied by 0 equals 0. B)Any number divid
ed by its opposite equals 0. C)The fraction is equal to −9.4. Any number added to its opposite results in the number itself. D)The expression does not have a value of 9.4.
2 answers:
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Answer:
236 cubic units (to 3 significant figures)
Step-by-step explanation:
volume of a cylinder = r²h (where r = radius and h = height)
Therefore, volume = x 5² x 3
= x 25 x 3
= 75
= 236 cubic units (to 3 significant figures)
Firts we need to find the rate of change, or in other words, the slope of the line.
Question 1:
a)
For this we can take two points in the form (years, salary). Then we can define as year 0 the year when Gary starts to work. In this year the salary is $58,550. The first point is (0, $58,550)
The next point we can take is at the year 10, when the salary of Gary will be $71,950. The second point is (10, $71,950)
b) Now that we have the two points, we can use the slope formula to get the rate of change. The slope formula is, for two points A and B:
In this case, we can call the points A(0, $58,550) and B(10, $71,950). Using the formula:
c) "The rate of change in Gary's salary is $1340 per year."
Question 2:
a) The slope intercept form of a line is:
Where:
y is the output of the function.
x is the input of the function. (we provide the function with a value for x and the function give us a value of y)
m is the slope of the line. We calculate it in question 1.
x1 is the x coordinate of a point we choose.
y1 is the y-coordinate of the same point of x1.
In this case, we know:
m = 1340;
And we can take the point (0, $58,550), thus:
x1 = 0
y1 = 58,550
b) Now we need to use all this values and use the slope-intercept form:
And solve to get:
Question 3:
a) Now we have a equation for the salary, we can use this to find the salary in 13 years. We just need to replace x = 13 in the equation:
B) The salary of Gary in 13 years will be $75,970.
Answer: d) 14
Step-by-step explanation:
Equation of a line passing through (a,b) and (c,d):
Equation of a line passing through (2, 18) and (–3, 8):
Comparing resulting equation to
, we get value of b= 14.
Hence, correct option is d) 14