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Lana71 [14]
3 years ago
5

According to some students, what is the true purpose of homework?

Mathematics
1 answer:
Sholpan [36]3 years ago
5 0
Well acording to my teachers the true purpose of homework is to forge your mind to look beyond everyone else's mind by trying to get good grades
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What is 52/100 in simplest form
Sonbull [250]
52/100
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5 0
3 years ago
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Using the triangle below, set up and solve an equation in order to find the value of x.
Colt1911 [192]

Answer:

90+15x+8x-2=180

Step-by-step explanation:

answer is 4

have a great day love!

6 0
2 years ago
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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
Must be put in groups of 14 square units or 16 square units triangle EFG
Genrish500 [490]

Answer:

Area 14 = PQRS + UVW; Area 16 = ABCD + EFG

Step-by-step explanation:

PQRS:  A = lw     = 7 × 2        = 14

ABCD: A = lw     = 4 × 4        = 16

UVW:  A  = ½bh = ½ × 7 × 4 = 14

EFG:    A = ½bh = ½ × 8 × 4 = 16

Area 14 = PQRS + UVW

Area 16 = ABCD + EFG

3 0
3 years ago
Jessica went to the grocery store and purchased a box of cereal for $3.75, milk for $1.50, and bread for $2.25. She paid with a
Aleks [24]

Answer:

12 dollers and 50 cents

Step-by-step explanation:

3 0
3 years ago
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