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4 years ago

Mary is converting 30 yards per hour into feet per hour. What conversion should she use?

Mathematics

1 answer:

Nina [5.8K]4 years ago

6 0

1 yard per hour= 3 feet per hour is the conversion.
Hope this helps

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First change to standard form of first order linear differential equation and then by finding the appropriate integrating factor

Leokris [45]

Answer:

Step-by-step explanation:

Given is a Differential equation as

$xy' + y = lnx ; y(e)=1$

To bring it to linear form we can divide the full equation by x

$y'+\frac{y}{x} =\frac{ln x}{x}$

This is of the form

y'+p(x) *y = q(x)

p(x) = 1/x

So find

$e^{\int\limits{\frac{1}{x} } \, dx } = e^{ln x} = x$

Solution is

$xy = \int {x*lnx /x } \, dx =xln x -x +C$

Use the initial value as y(e) =1

$e= eln e -e+C\\C=e$

So solution is

$xy =xln x -x+e$

5 0

3 years ago

Help ASAP 2k-6-7+3k=-48

k0ka [10]

Answer:

k=-7

Step-by-step explanation:

2k-6-7+3k=-48

Combine like terms

5k -13 = -48

Add 13 to each side

5k-13+13 = -48+13

5k = -35

Divide by 5

5k/5 = -35/5

k =-7

7 0

3 years ago

Read 2 more answers

The show 14 / 6 on a number line

Serhud [2]

I drew this by hand. sorry I it does not help.

3 0

3 years ago

Given that f(x)= x2+3 and g(x)= x+4/3 solve for (f(g(x)) when x =2

Savatey [412]

$\bf \begin{cases}
f(x)=x^2+3\\\\
g(x)=x+\cfrac{4}{3}
\end{cases}
\\\\\\
\boxed{x=2}\qquad g(2)=(2)+\cfrac{4}{3}\implies \boxed{g(2)=\cfrac{10}{3}}
\\\\\\
f(~~g(x)~~)=[g(x)]^2+3\implies f(~~g(2)~~)=[g(2)]^2+3
\\\\\\
f(~~g(2)~~)=\left[ \boxed{\frac{10}{3}} \right]^2+3\implies f(~~g(2)~~)=\cfrac{10^2}{3^2}+3
\\\\\\
f(~~g(2)~~)=\cfrac{100}{9}+3\implies f(~~g(2)~~)=\cfrac{100+27}{9}
\\\\\\
f(~~g(2)~~)=\cfrac{127}{9}$

7 0

3 years ago

Solve for n in the proportion 7/3 = n/21.

erastova [34]

Given ,

7/3 = n/21

We need to find the value of n,

Cross multiplying,we get

3n = 21 x 7

=> 3n = 147

=> n = 147/3

=> n = 49 is the required answer

7 0

1 year ago