Weight is equal to the mass of the object multiplied by the force of gravity. The force of gravity on earth is greater then the force of the moon's gravity causing a smaller weight. The equation used to find an objects weight is W=mg. W is the weight, m is the mass, and g is the gravity's acceleration. <span />
Answer:
Step-by-step explanation:
Given a curve defined by the function 2x²+3y²−4xy=36
The total differential of this function with respect to a variable x makes the function an implicit function because it contains two variables.
Differentiating both sides of the equation with respect to x we have:
4x+6ydy/dx-(4xd(y)/dx+{d(4x)/dx(y))} = 0
4x + 6ydy/dx -(4xdy/dx +4y) = 0
4x + 6ydy/dx - 4xdy/dx -4y = 0
Collecting like terms
4x-4y+6ydy/dx - 4xdy/dx = 0
4x-4y+(6y-4x)dy/dx = 0
4x-4y = -(6y-4x)dy/dx
4y-4x = (6y-4x)dy/dx
dy/dx = (4y-4x)/6y-4x
dy/dx = 2(2y-2x)/2(3y-2x)
dy/dx = 2y-2x/3y-2x proved!
Answer:
9(p + q)(9p + 9q - 1)
Step-by-step explanation:
Given
81(p + q)² - 9p - 9q ← factor out - 9 from these 2 terms
= 81(p + q)² - 9(p + q) ← factor out 9(p + q) from each term
= 9(p + q)(9(p + q) - 1)
= 9(p + q)(9p + 9q - 1)
Answer:
6x + 4 - 1/100 = 77.5
Step-by-step explanation:
Inc shipping all shirts 77.49
Shirt individual cost = 12.25
We find the division first = 77.49-3.99 = 73.5 = 73 1/2
Then we divide 73.5 / 12.25 = 6
Then we have our equation
6x + 4 - 1/100 = 77.5
Step-by-step explanation:
This seems like you just want to figure out the circumference of the manhole cover. The formula for the circumference of a circle is pi (3.14) multiplied by the diameter (d) of the circle so, circumference=πd. (π is the symbol for pi and approx. equals 3.14)
Circumference = πd
= 3.14(d)
= 3.14(3)
= 9.42 ft.
The length of the brass grip-strip will be 9.42 ft.
If the problem was stated in terms of the radius of the manhole cover then the formula would be circumference = 2πr which is the radius multiplied by 2 then multiplied by pi.
The radius of a circle is the distance from the center to the edge and the diameter is the distance from one edge of the circle to the other passing through the center of the circle.
Well, if the grip strip were of no width and could be straightened out to a line (which a piece of rubber cut in a circle couldn't be), then the length of the grip would correspond to the circumference of the manhole cover.
Circumference = 2*PI*radius = PI*diameter so your answer is 3*PI feet long.
