The engine displacement of an automobile is the volume through which the piston moves from high to low position. if an engine has n cylinders, the displacement is d = pi(bore/2)^2 • stroke • n, where the bore is the diameter of the cylinder and stroke is the length of the piston's travel. if bore = k/2 and stroke = h, simplify the expression, d, in terms of k and h for 8 cylinders. if the bore is 4 inches, the stroke is 3.4 inches, and the engine has four cylinders, what is the displacement? round your answer to the nearest tenth of a cubic inch.

Substituting the given expressions for bore and stroke and 8 cylinders, you have ...

... D = π((k/2)/2)^2 · h · 8

... D = (π/2)hk^2 . . . . simplified expression for 8 cylinders

For bore = 4 in, stroke = 3.4 in, n = 4, the displacement is ...

... D = π(4 in/2)^2 · (3.4 in) · 4 = 54.4π in^3

... D ≈ 170.9 in^3

cubic inch

Step-by-step explanation:

Given-

Displacement =

Now,

bore is represented as

and stroke is represented as

and number of cylindres "n"

Substituting these values in above equation, we get -

Displacement

Now substituting the given values, in above equation we get -

Displacement cubic inch

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)

3100

step-by-step explanation: