Answer:
Step-by-step explanation:
WeMoveU charges an hourly rate for a moving team to load and unload a truck. The charges is a different hourly rate for a team pack and unpack boxes. Use the quotes below to determine the company's hourly rates. Weekday Move: 5hours of loading and unloading services. 4 hours of packing and unpacking service. $730 total cost. Weekend Move: 4 hours of loading and unloading services. 5 hours of packing and unpacking services. $710 total cost.
Let us represent:
Hours of Loading and Unloading = X
Hours of packing = y
5hours of loading and unloading services. 4 hours of packing and unpacking service. $730 total cost.
5x + 4y = 730..... Equation 1
Weekend Move: 4 hours of loading and unloading services. 5 hours of packing and unpacking services. $710 total cost.
4x + 5y = 710.... Equation 2
Combining both Equations together
5x + 4y = 730..... Equation 1
4x + 5y = 710.... Equation 2
We solve using Elimination method
<span>center of mass = (0, 0, 96/13) exactly (0, 0, 7.3846) approximately.
The object described is a spherical cap for a sphere with a radius of 10. Since the sphere is centered at the origin, the center of mass will have X and Y coordinates of 0 and we only need to find the Z coordinate. The formula for the geometric centroid of a spherical cap is:
z = 3(2R - h)^2 / 4(3R - h)
where
z = distance from the center of the sphere
R = radius of sphere
h = distance from base of spherical cap to top of spherical cap
And for a spherical cap of uniform density, the geometric centroid is also known as the center of mass.
Since the sphere has a radius of 10 and is cut by the plane z=6, the value h will be 10-6 = 4. So substitute the known values into the formula:
z = 3(2R - h)^2 / 4(3R - h)
z = 3(2*10 - 4)^2 / 4(3*10 - 4)
z = 3(20 - 4)^2 / 4(30 - 4)
z = 3(16)^2 / 4(26)
z = 3(256) / 104
z = 768/104
z = 96/13
z ~= 7.384615385</span>
Answer:
1/3 of the animals at the shelter are male cats.
Step-by-step explanation:
(4/6)*(1/2)=(4/12) or (1/3)
The 35th term will be 197. Starting at a1= -7, each term increases by 6.
Could you take a better picture of the paper please?
