Answer:
The graph of a relation must pass the vertical line test.
True
Answer:
b=2
Step-by-step explanation:
we have
9x+12y=21 -----> equation A
6x+8y=7b ----> equation B
we know that
If the system of equations have an infinite number of solutions then the equation A must be equal to the equation B
Multiply equation B by 1.5 both sides
1.5*[6x+8y[=7b*1.5
9x+12y=10.5b ----> equation C
Compare equation A and equation C
9x+12y=21 -----> equation A
9x+12y=10.5b ----> equation C
For the equations to be equal it must be fulfilled that
21=10.5b
solve for b
b=21/10.5
b=2
Second moment of area about an axis along any diameter in the plane of the cross section (i.e. x-x, y-y) is each equal to (1/4)pi r^4.
The second moment of area about the zz-axis (along the axis of the cylinder) is the sum of the two, namely (1/2)pi r^4.
The derivation is by integration of the following:
int int y^2 dA
over the area of the cross section, and can be found in any book on mechanics of materials.
Answer:
Conrad worked 11 2/3 hours this week.
Step-by-step explanation:
In order to find the total number of hours that Conrad worked this week, we need to take his total from the week before and multiply it by the increase in time from this week. Seeing the key word 'times' in the problem lets us know that the operation is multiplication. In order to make our multiplication problem easier, we can convert both mixed numbers into improper fractions. 6 2/3 is also 20/3 and 1 3/4 is also 7/4. We can then multiply 20/3 x 7/4, in which case we multiply the numerators together and the denominators together to get: (20 * 7)/ (3*4) = 140/12 = 11 2/3 hours for this week.
Store A, which is $0.97/pound (1.94/2)
Store B is $3.22, Store C is $1.83, and Store D is $2.64
