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alexdok [17]
3 years ago
11

Please help!!

Mathematics
1 answer:
zalisa [80]3 years ago
4 0
The answer to your question is 0.667
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Find the general solution of the following equation. Express the solution explicitly as a function of the independent variable.
Mashcka [7]

Answer:

Therefore the general solution is

2 \sqrt w = 2 ln(x) - 5 \frac1x +c

Step-by-step explanation:

Integration Rule:

  1. \int x^n dx= \frac{x^{n+1}}{n+1}+c
  2. \int \frac1x dx= ln(x) +c

Given differential equation is

x^2 \frac{dw}{dx}= \sqrt{w}(2x+5)

\Rightarrow x^2 dw= \sqrt{w} (2x+5) dx    [ multiplying dx both sides]

\Rightarrow \frac{dw}{\sqrt w}= \frac{(2x+5)}{x^2} dx                [ dividing x^2\sqrt w both sides]

Integrating both sides

\int \frac{dw}{\sqrt w}=\int \frac{(2x+5)}{x^2} dx

\Rightarrow \int w^{-\frac12} dw=\int (\frac{2x}{x^2}+\frac{5}{x^2} )dx

\Rightarrow \int w^{-\frac12} dw=\int \frac{2}{x}dx +\int\frac{5}{x^2} dx

\Rightarrow \frac{w^{-\frac12+1}}{-\frac12+1} =2ln x+5 \frac{x^{-2+1}}{-2+1}+c   [ c is arbitrary constant]

\Rightarrow 2 \sqrt w = 2 ln(x) - 5 \frac1x +c

Therefore the general solution is

2 \sqrt w = 2 ln(x) - 5 \frac1x +c

6 0
3 years ago
A book shop offers a 24% discount on books. Sam has to pay $ if he purchases books with an original price of $84.
riadik2000 [5.3K]

Answer:

$63.84

Step-by-step explanation:

A book shop offers a discount on a book = 24%

The original price of the book = $84.00

we have to calculate 24% of $84 and then subtract the discount price in the original price.

Sam purchases this book = 84 -(24% × 84)

                                          = 84 - ( 0.24 × 84)

                                          = 84 - 20.16

                                          = $63.84

Sam has to pay $63.84 if he purchases book.

8 0
3 years ago
Craig is practicing his baseball pitching he kept track of the speed of each of his throws yesterday,and made the histogram
Morgarella [4.7K]

Using it's concept, there is a 0.125 = 12.5% probability that Craig will pitch it between 70 and 75 mph.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

From the histogram, the number of pitches is given by:

1 + 5 + 3 + 4 + 1 + 2 = 16.

Of those, 2 were between 70 and 75 mph, hence the probability is given by:

p = 2/16 = 1/8 = 0.125.

There is a 0.125 = 12.5% probability that Craig will pitch it between 70 and 75 mph.

More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

7 0
1 year ago
HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Westkost [7]

Answer:

f(0) =4

f(6) =8

Step-by-step explanation:

f(0) = ?

We know 0 is less than 5 so we use  the first part of the step function

f(0) = 0+4

      = 4


f(6) = ?

 6 is between 5 and 7 so we use the second part of the step function

f(6) =8

8 0
3 years ago
I’m honestly very confused on how to figure this out
gogolik [260]

Answer:

y = -1/2 = -0.500

Step-by-step explanation:

your welcome have a good day :)

stay safe

stay hydrated

wear a mask

┐(^▂ ^ ;)┌

5 0
3 years ago
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