<span>251×263=66013, which is proof 66013 is not a prime.</span>
Answer:
distance is 5 units
Step-by-step explanation:
plug in values
Answer:

Step-by-step explanation:
Juice squeezed from first orange =
= 0.235
Juice squeezed from second orange =
= 0.3
Juice squeezed from third orange =
= 0.45
Juice squeezed from fourth orange =
= 0.27
Juice squeezed from fifth orange =
= 0.47
Total juice squeezed from all the five oranges = 0.235 + 0.3 + 0.45 + 0.27 + 0.47 = 1.725
Total juice to be squeezed = 2 cups
More juice required = 2 - 1.725 = 0.275 
Therefore, to make it 2 cups of orange juice for the family, about
cups of more juice is required.
Answer:
The correct answer B) The volumes are equal.
Step-by-step explanation:
The area of a disk of revolution at any x about the x- axis is πy² where y=2x. If we integrate this area on the given range of values of x from x=0 to x=1 , we will get the volume of revolution about the x-axis, which here equals,

which when evaluated gives 4pi/3.
Now we have to calculate the volume of revolution about the y-axis. For that we have to first see by drawing the diagram that the area of the CD like disk centered about the y-axis for any y, as we rotate the triangular area given in the question would be pi - pi*x². if we integrate this area over the range of value of y that is from y=0 to y=2 , we will obtain the volume of revolution about the y-axis, which is given by,

If we just evaluate the integral as usual we will get 4pi/3 again(In the second step i have just replaced x with y/2 as given by the equation of the line), which is the same answer we got for the volume of revolution about the x-axis. Which means that the answer B) is correct.