So volue of a cone=area of circle base times heigt times 1/3
height=4
area of base=pi times r^2
area of abse=aprox 3.14 times 3.2^2=32.1536
32.1536 times 4 times 1/3=32.1536 times 4/3=42.87 the amount of sand is 42.9 ft^3
That would be : y = 2x + 1
Use distance formula
=√(3-3)^2 +(-4-4)^2
=√64
=8
Answer:
Except k=7, any real number for k would cause the system of equations to have no solution.
Step-by-step explanation:
In general a system of equations can be represented as ax+by=c and dx+ey=f. In order this system of equations to have NO SOLUTIONS a/d=b/a≠c/f. In our example a=6, b=4, c=14, d=3, e=2 and f=k. To apply the formula above, 6/3=4/2≠14/k. Hence k≠7. It can be concluded that except k=7, any real number for k would cause the system of equations to have no solutions.
Just for information, if k=7 the system will have infinitely many solutions.
A)The y-intercept is 50 because when X=0, y=50. This shows that the car was moving at 50 mph as an initial speed.
B) in two hours (from 1 to 3) the speed increased by 4 miles per 2hours. (from 52 to 56). 4/2 = 2 mph, which is the average rate of change. This represents the amount of speed increased each hour.
C) y=2x+50, and y=60 in this case, so 60=2x+50
60=2x+50
-50 -50
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10=2x
5=x, so the domain is X<=5 (less than or equal to 5)
