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vredina [299]
2 years ago
5

Write and then solve for y = f(x) the differential equation for the statement: "The rate of change of y with respect to x is inv

ersely proportional to y4
Mathematics
1 answer:
vazorg [7]2 years ago
7 0
The statement "<span>The rate of change of y with respect to x is inversely proportional to y^4" can be written mathematically as dy/dx = k/y^4

To solve the differential equation, we use variable saparable method.
y^4 dy = kdx
Integrating both sides gives,
y^5 / 5 = kx + A
y^5 = 5kx + 5A = Bx + C; where B = 5k and C = 5A
y= \sqrt[5]{Bx+C}</span>
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Oni was timing her 100 meter sprints. Her first five sprints were 12.568 seconds, 11.426 seconds, 12.324 seconds, 11.981 seconds
oksian1 [2.3K]

Answer:

Rounding to the nearest tenth and rounding to the nearest one hundredth.

Step-by-step explanation:

round all up or down then  line up and add

12.568= 13

11.426=  11

12.324= 12

11.981=  12

12.601= 13

add the totals then you see

60.83 sames as 61

4 0
1 year ago
Read 2 more answers
Solve for x 3x−91&gt;−87 OR 21x−17&gt;25
klasskru [66]

Answer:

  x > 4/3

Step-by-step explanation:

The first inequality can be solved this way ...

  3x -91 > -87

  3x > 4 . . . . . . . add 91

  x > 4/3 . . . . . . divide by 3

__

The second inequality has solution ...

  21x -17 > 25

  21x > 42 . . . . . . add 17

  x > 2 . . . . . . . . . divide by 21

__

The solution set is the union of these overlapping solutions, so will be equal to the first solution:

  x > 4/3

5 0
1 year ago
Read 2 more answers
Peter, Gordon and Gavin share £36 in a ratio 2:1:1. How much money does each person get?
melamori03 [73]

Answer: let the common multiple be x..

according to given condition,

2x + x +x =36

4x = 9

Peter = 2x = 2 ×9 = £18

Gordon = Gavin = x = £9

Hope this helps have a amazing day bye!

8 0
1 year ago
Greenfields is a mail order seed and plant business. The size of orders is uniformly distributed over the interval from $25 to $
LekaFEV [45]

Answer:

a) 47.55

b) 58

c) 47.88

Step-by-step explanation:

Given that the size of the orders is uniformly distributed over the interval

$25 ( a ) to $80 ( b )

<u>a) Determine the value for the first order size generated based on 0.41</u>

parameter for normal distribution is given as ;  a = 25,  b = 80

size/value of order  = a + random number ( b - a )

                                = 25 + 0.41 ( 80 - 25 )

                                =  47.55

<u>b) Value of the last order generated based on random number (0.6)</u>

= a + random number ( b - a )

= 25 + 0.6 ( 80 - 25 )

= 25 + 33 = 58

<u>c) Average order size </u>

= ∑ order 1 + order 2 + ----- + order 10  ) / 10

= (47.55 + ...... + 58 ) / 10

= 478.8 / 10 = 47.88

4 0
2 years ago
A fish tank, filled with water, is 100cm long,60cm wide and 40cm high. It is tilted resting on a 60cm edge, with the water level
grin007 [14]
20 cm deep since 50 x 60 x 40 = 10 x 60 x 20
7 0
1 year ago
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