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yarga [219]
3 years ago
13

Find the general solution to this differential equation. ydx-4(x+y^6)dy=0

Mathematics
1 answer:
Lady_Fox [76]3 years ago
8 0

 you re-write your eq as:
dx/dy -4(x/y) = 4y^5 
 the integrating factor is:

<span><span>e<span>−4∫dy/y</span></span>=1/<span>y^4
now solve it</span></span>

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Troy and Lisa were shopping for school supplies. Each purchased different quantities of the same notebook and thumb drive. Troy
kari74 [83]

Answer:

Notebook is $4

Thumb drive is $23

Step-by-step explanation:

Let notebooks be x and thumb drives be y

6x+7y=$185

14x+12y=$332

These two are simultaneous equation. Multiplying the first equation by 7 and second by 3 we obtain

42x+49y=$1295

42x+36y=$996

Subtracting the third equation from the fourth

996-1295=-$299

(36-49)y=-23y

-23y=-$299

y=$299/13=$23

To get the value of x, we substitute the value of y into the first equation

6x+(7*23)=$185

6x=$185-$161

6x=$24

x=$4

Therefore, price of notebook is $4, price of thumb drive is $23

4 0
3 years ago
Find the total volume. Please show your work.​
elena-s [515]

Answer:

Step-by-step explanation:

You have a half sphere and a cylinder.

Trick question! Note that the diameter of the cylinder is in meters, while the height is given in centimeters.

For cylinder:

 radius r = 5 m

 height h = 6 cm = 0.06 m

 volume = πr²h = π(5²)(0.06) = 1.5π m³

For sphere:

 radius r = 5 m

 volume of sphere = (4/3)πr³

 volume of half sphere =  (2/3)πr³ = (2/3)π5³ = (250/3)π m³

Total volume = 1.5π + 250π/3 ≅ 266.5 m³

4 0
2 years ago
Bananas cost $0.85 per pound. What equation is used to find c, the total cost of p pounds of bananas? A)C=0.85p B) C= p + 0.85 C
kogti [31]
The answer to your question is a)C=0.85p
6 0
3 years ago
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How did you apply proportional reasoning as you worked through these problems?
pogonyaev

Answer:

youll have to show the problems to get an answer!

Step-by-step explanation:

5 0
2 years ago
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Pam bought 50 kg of sugar. She used 10 kg of sugar. What percentage of sugar was left? (step by step answer would be appreciated
galben [10]

Answer:

80%

Step-by-step explanation:

50 x 50 would be 100 and 50kg=100% and 10 x 2 = 20 so you used 20% therefore you have 80% left.

8 0
3 years ago
Read 2 more answers
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