Answer:
Solution : Volume = 96/5π
Step-by-step explanation:
If we slice at an arbitrary height y, we get a circular disk with radius x, where x = y^(1/3). So the area of a cross section through y should be:
A(y) = πx^2 = π(y^(1/3))^2 = πy^(2/3)
And now since the solid lies between y = 0, and y = 8, it's volume should be:
V = ∫⁸₀ A(y)dy (in other words ∫ A(y)dy on the interval [0 to 8])
=> π ∫⁸₀ y^(2/3)dy
=> π[3/5 * y^(5/3)]⁸₀
=> 3/5π(³√8)⁵
=> 3/5π2^5
=> 96/5π ✓
Step-by-step explanation:
(x1,y1) = (-1,-1)
(x2,y2) = (2,-2)
m = (y2 - y1)/(x2 - x1)
m = (-2 + 1)/(2 + 1)
m = -1/3
Option → C
Answer:
y = -0.6x +3
Step-by-step explanation:
equation of the line through point (3, 1.2) and y-interecept of 3
y= mx+b
m is the slope and b is thhe y-intercept
y = mx + 3
between points (3, 1.2) and (0,3) the slope is
m= (y2-y1)/ (x2-x1) = (1.2-3) / (3-0) = -1.8/3 = -0.6
y = -0.6x +3
1 because he HAD 5 and if he gave his friend 4 than he has 1 left, 5-4=1 my friend.
Answer:
32 MPH
Step-by-step explanation:
MPH= Distance/Time
24/(3/4)= 24*4/3 = 96/3 = 32 MPH
