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worty [1.4K]
3 years ago
10

What is the quotient and remainder of 3 divided by 14

Mathematics
2 answers:
jekas [21]3 years ago
8 0
Assuming it’s backwards then the answer is 4 remainder 2
Whitepunk [10]3 years ago
5 0
Q= 0 and R=14
I think you did it backwards lol but issok i answered
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Which of the lines graphed has a slope of -1/2 and a y-intercept of 3
MAXImum [283]

Answer:

The correct option is C).

Figure show the line with slope of -1/2 and a y-intercept of 3

Step-by-step explanation:

The equation of line is given by y=mx+c.

Where m is slope and c is y-intercept.

Given that line has slope

m=\frac{-1}{2} and c=3

Thus equation of line will be

y=mx+c.

y=\frac{-1}{2}x+3

To plot the line we need at least two points

Take x=0

y=\frac{-1}{2}x+3

y=\frac{-1}{2}0+3

y=3

The required point is A(0,4)

Take x=2

y=\frac{-1}{2}2+3

y=2

The required point is B(2,2)

Using this points to graph the given equation of line

Figure show the line with a slope of -1/2 and a y-intercept of 3

The correct option is C).

7 0
3 years ago
All of these ODEs model a system with a spring, mass and dashpot.
Wewaii [24]

Answer:

− 3 y ' ' − 3 y ' + 3 y = 0 : over-damped

− 2 y ' ' − 4 y ' + 1 y = 0 : over-damped

1 y ' ' + 7 y ' + 5 y = 0: over-damped

Step-by-step explanation:

Using the characteristic equation you can express a differential equation of order n as an algebraic equation of degree n:

a_ny^n+a_n_-_1y^{n-1}+...+a_1y'+a_oy=0

This differential equation will have a characteristic equation of the form:

a_nr^n+a_n_-_1r^{n-1}+...+a_1r+a_o=0

Now, you can classify the solution for a differential equation using a simple method. In order to do it, you just need to use the discriminant.

  • If the discriminant is greater than zero, the solution is over-damped

  • If the discriminant is less than zero, the solution is under-damped

  • If the discriminant is equal to zero, the solution is critically damped

So, given the differential equation:

-3y''-3y+3y=0

Which has characteristic equation of the form:

-3r^2-3r+3=0

The quadratic polynomial of the form:

ar^2+br+c=0

Has discriminant:

Disc=b^2-4ac

In this case:

a=-3\\b=-3\\c=3

So:

Disc=(-3)^2-4(-3)(3)=9-(-36)=45

In this case:

Disc=45>0

Therefore the solution is over-damped.

Now, given the differential equation:

-2y''-4y'+1y=0

Which has characteristic equation of the form:

-2r^2-4r+1=0

The quadratic polynomial of the form:

ar^2+br+c=0

Has discriminant:

Disc=b^2-4ac

In this case:

a=-2\\b=-4\\c=1

So:

Disc=(-4)^2-4(-2)(1)=16+8=24

In this case:

Disc=24>0

Therefore the solution is over-damped.

Finally, given the differential equation:

1y''+7y'+5y=0

Which has characteristic equation of the form:

1r^2+7r+5=0

The quadratic polynomial of the form:

ar^2+br+c=0

Has discriminant:

Disc=b^2-4ac

In this case:

a=1\\b=7\\c=5

So:

Disc=(7)^2-4(1)(5)=49-20=29

In this case:

Disc=29>0

Therefore the solution is over-damped.

6 0
3 years ago
The dry cleaner fee for 3 pairs of pants is 18 doller what is the constant of proportionality
insens350 [35]
You divide 18 with 3 and is going to equal 6 so that should be your constant proportionality
3 0
3 years ago
tombstone and bury me.. by the river they'll carry me. finally I been resting in peace.. finally, finally..​
bixtya [17]

Answer:

rhymy

Step-by-step explanation:

3 0
3 years ago
How do i solve for this?
vekshin1
For one set the two equations equal to eachother and solve from there. 2 is 45
For three set the two equations equal. Same for four
6 0
2 years ago
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