Answer:
y = 28
Step-by-step explanation:
Given that y varies directly as x and inversely as z then the equation relating them is
y =
← k is the constant of variation
To find k use the condition y = 4 when x = 2 and z = 7, then
4 =
( multiply both sides by 7 )
28 = 2k ( divide both sides by 2 )
14 = k
y =
← equation of variation
When x = 6 and z = 3 , then
y =
= 14 × 2 = 28
Answer:
1. 
2.
a)
35 cm = 0.35 meters
11 dm = 1.1 meters
15 mm = 0.015 meters
b)
Volume = 0.005775 cubic meters
Mass = 15.5925 kilograms
Step-by-step explanation:
1.
We know
Density = Mass/Volume
Given
Mass = 90 kg
Volume = 0.075 cubic meters
The SI unit for density is kilograms per cubic meters. Our dimensions are just that, so we just need to plug in the numbers into the formula and get our answer. Shown below:
Density = 
The Density of asphalt block = 
2.
a)
We need to express 35cm, 11dm, and 15mm in meters
We know
100 cm = 1 meters, so
35 cm = 35/100 = 0.35 meters
We know 1 dm = 0.1 meters, so
11 dm * 0.1 = 1.1 meters
We know, 1mm = 0.001 meters, so
15 mm * 0.001 = 0.015 meters
b)
Volume of the Slab is length * width * height, in meters, that would be:
Volume = 0.35 * 1.1 * 0.015 = 0.005775 cubic meters
THe mass would be found by the formula:
Density = Mass/Volume
2700 = Mass/0.005775
Mass = 0.005775 * 2700 = 15.5925 kilograms
Answer:
A
Step-by-step explanation:
9 > 3 + 2x
6 > 2x
3 > x
or
x < 3
and that means 3 is NOT included (otherwise there must be a smaller or equal sign). hence A is the right answer.
The area of an equilateral triangle of side "s" is s^2*sqrt(3)/4. So the volume of the slices in your problem is
(x - x^2)^2 * sqrt(3)/4.
Integrating from x = 0 to x = 1, we have
[(1/3)x^3 - (1/2)x^4 + (1/5)x^5]*sqrt(3)/4
= (1/30)*sqrt(3)/4 = sqrt(3)/120 = about 0.0144.
Since this seems quite small, it makes sense to ask what the base area might be...integral from 0 to 1 of (x - x^2) dx = (1/2) - (1/3) = 1/6. Yes, OK, the max height of the triangles occurs where x - x^2 = 1/4, and most of the triangles are quite a bit shorter...
Answer:
The correct option is (b)
Step-by-step explanation:
Chart of accounts refers to listing or arranging various accounts for the ease of locating them. Listing is done based on the order of appearance beginning with balance sheet and then income statement.
The order starts with assets, followed by liabilities and stockholders' equity from the balance sheet and revenue and expenses from income statement.
So, the correct order is stated in option (b).