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bezimeni [28]
3 years ago
12

Determine whether or not the given differential equation is separable, that is, whether it can be expressed in the form p(y) dy

= q(x) dx. dy/dx − 2y = 16 + 3xy + 24x
Mathematics
1 answer:
Flura [38]3 years ago
7 0

Answer:

Yes , it is separable

Step-by-step explanation:

We are given that DE

\frac{dy}{dx}-2y=16+3xy+24x

We have to find the the given DE is separable or not.

\frac{dy}{dx}-2y=16x+3xy+24x

\frac{dy}{dx}=16+3xy+24x+2y

\frac{dy}{dx}=16+24x+3xy+2y=8(2+3x)+y(3x+2)

\frac{dy}{dx}=(2+3x)(8+y)

\frac{dy}{8+y}=(2+3x)dx

When the DE is separable then it can be written as

p(y)dy=q(x)dx

Given DE is in Separable form.Therefore, it is separable.

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Tom is tiling a wall.
krok68 [10]

Answer:

The correct answer is - £ 40.5 for 3 large packs.

Step-by-step explanation:

Given:

Large pack = 40 tiles £18

Small pack = 28 tiles £14

Special offer = 25% reduction when you buy 3 or more large packs.

Solution:

Following combinations are possible for tom to get the tiles he needs:

1. 3 large packs

40*3 = 120 tiles with 25% discount

cost = 18*3 - 0.25*18*3 = 40.5

2. 4 small packs

28*4 = 112 tiles

cost = 14*4 = 56

3. 2 large packs and 1 small pack

40*2 + 28 = 108 tiles

cost = 18*2 + 14 = 50

4. 1 large pack and 3 small packs

40 + 28*3 = 124 tiles

cost = 18 + 14*3 = 60

Thus, the correct answer is - 1st case with three large packs.

3 0
3 years ago
In Triangle BCD, BC=BD, and angle B =13x-35, angle C = 5x-19, angle D=2x+14. Find the measure of each angle
aleksandr82 [10.1K]

Answer:

B = 108

C = 36

D = 36

Step-by-step explanation:

Given

B =13x - 35

C = 5x - 19

D=2x+14

BC = BD

Required

Determine the measure of each angle

The angles in a triangle sum up t 180. i.e.

B + C + D = 180

Since BC = BD, then C = D

B + C + D = 180 can then be rewritten as:

B + C + C = 180

B + 2C = 180

Substitute values for B and C

13x - 35 + 2(5x - 19) = 180

Open Bracket

13x - 35 + 10x - 38 = 180

Collect Like Terms

13x + 10x = 180 + 38 + 35

23x= 253

Divide both sides by 23

x = 11

To get the measure of each angle, substitute 11 for x in the expressions of B, C and D

B =13x - 35

B = 13 * 11 - 35

B = 108

C = 5x - 19

C = 5 * 11 - 19

C = 36

D=2x+14

D = 2 * 11 + 14

D = 36

5 0
3 years ago
Hudson wants to write a letter to his friend. He took out
slamgirl [31]

Answer:

length = 15 feet.

Step-by-step explanation:

This paper is 15 feet across on any side. Who will deliver this monster?

Area = s^2 where s is the length of 1 side.

Area = 225 feet^2  (You sure this isn't inches).

s^2 = area

s^2 = 225        Take the square root of both sides of the equation.

sqrt(s^2) = sqrt(225)

s = 15

8 0
3 years ago
Larry wants to buy some carpeting for his living room. The length of the room is 2 times the width and the total area of the roo
Phantasy [73]
The width is 2 and the length is 4 hope this helps!
7 0
3 years ago
Which of the following can be used to find the sum of the interior angles for any regular polygon?
TiliK225 [7]
<span>Sum of Interior Angles = (Number of Sides -2) • 180 degrees
It seems C is the answer.


</span>
8 0
3 years ago
Read 2 more answers
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