Answer:

Step-by-step explanation:
The point-slope form of a line:

m - slope
(x₁, y₁) - point
The formula of a slope:

We have the points (-3, 2) and (2, 1). Substitute:


D = π(bore / 2)² · stroke · n
can be rewritten as
D = π(1/2 * bore)² · stroke · n
If bore = k /2, and stroke = h, and # of cylinders = n = 8, then
D = π(1/2 * k/2)² · h · 8
= 8π*h(k/4)²
= 8π*h(k²/16) since (k/4)² = k²/4² = k²/16
= π*h*k²/2
Answer for the first part: D = π*h*k²/2
For second part, if bore = 4 inches, stroke is 3.4 inches, and # cylinders = n = 4, then
D = π(1/2 * bore)² · stroke · n
D = π(1/2 * 4)² · 3.4 · 4
D = 170.9 cubic inches
If you add 10 to 275 you get 285 and you divide by 5 you get 57
Answer: 57
Answer:
The answer is 24 i believe
Step-by-step explanation:
The formula to find the volume)The volume of cylinder will be = V\pi r^2 h
V = 1/3times3.14times5times5times10=261.67 cubic cm.
Now, the number of cones needed to fill the cylinder will be = 6280/261.67=23.999 = 24
Another way to figure
this out is n×1/3×5×5×10=10×10×20
n=2000×3÷250
n=24
Answer:
(0.4, -57.9)
Step-by-step explanation:
y = 3x³ + 12x² - 10x - 56
dy/dx = 9x² + 24x - 10 = 0
x = [-24 +/- sqrt(24² - 4(9)(-10))]/(2×9)
x = -3.033006505, 0.3663398379
d²y/dx² = 18x + 24
For minima, d²y/dx² > 0 which is at x = 0.3663398379
y = 3(0.3663398379)³ + 12(0.3663398379)² - 10(0.3663398379) - 56
y = -57.90544608