Answer:
= 3052.08 cm^3
Step-by-step explanation:
Volume of a sphere is given by
V = 4/3 pi r^3
We know the diameter is 18
d = 2r
18 = 2r
Divide each side by 2
18/2 =2r/2
9 =r
V = 4/3 pi 9^3
V = 4/3 pi (729)
V = 972 pi
Approximating pi by 3.14
V =972 (3.14)
= 3052.08 cm^3
Answer:
The profit for January is $57,200.
Step-by-step explanation:
The total profit for the two months would be the result of adding up the profit in January plus the profit in February:
Total profits=Profit in January+Profit in February
Also, you can say that profits in January can be represented by x and you know that the profit for a company in February was 15% higher than it was in January which can be expressed as: 1.15x. Moreover, you know that the total profit for the two months was $122,980. Now, you can replace the values on the formula:
122,980=x+1.15x
Now, you can solve for x:
122,980=2.15x
x=122,980/2.15
x=57,200
According to this, the answer is that the profit for January is $57,200.
8 is your answer to your question
Its simple, so these are two "y=mx+b" form lines that are limited by the signs on the right. Your first line f(x)=-x-4 has to be between -3 and 1 on the x-axis.
You would plot a point at (0,-4) like normal, then go down one, right one as the slope is -1. you would make the dot at 1 though unfilled as x does not equal to 1. It is less than 1. º Should look like the dot I just inserted.
The second line would be plotted, at (0,-6). You would then make a horizontal line between 1 and 5. º-------• (Should look like this)
IMPORTANT:
FILLED DOT - EQUAL TO
UNFILLED DOT - Not equal to
The correct answer should be B: y = -3x + 2.
Since the line crosses the y axis at 2, your y-intercept should be 2. Using rise over run you can compare the equations to the graph. If you convert 3x to a fraction, it would be 3/1x. Since the line is going down 3 and the rise of the y = -3x + 2 is -3, that part is correct. The line also moves over 1 unit, so the run is 1, therefore the correct slope would be -3 or -3/1. Now if you combine what you have it should be y = -3x - 2, which is the same equation as B.
