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4 years ago

If a recipe uses 1 1/2 cups of flour and makes 6 servings how many cupes of flour is in one serving

Mathematics

1 answer:

mestny [16]4 years ago

3 0

6/ 1.5 = 4

4 cups of flour in one serving

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First-order linear differential equations

kkurt [141]

Answer:

$(1)\ logy\ =\ -sint\ +\ c$

$(2)\ log(y+\dfrac{1}{2})\ =\ t^2\ +\ c$

Step-by-step explanation:

1. Given differential equation is

$\dfrac{dy}{dt}+ycost = 0$

$=>\ \dfrac{dy}{dt}\ =\ -ycost$

$=>\ \dfrac{dy}{y}\ =\ -cost dt$

On integrating both sides, we will have

$\int{\dfrac{dy}{y}}\ =\ \int{-cost\ dt}$

$=>\ logy\ =\ -sint\ +\ c$

Hence, the solution of given differential equation can be given by

$logy\ =\ -sint\ +\ c.$

2. Given differential equation,

$\dfrac{dy}{dt}\ -\ 2ty\ =\ t$

$=>\ \dfrac{dy}{dt}\ =\ t\ +\ 2ty$

$=>\ \dfrac{dy}{dt}\ =\ 2t(y+\dfrac{1}{2})$

$=>\ \dfrac{dy}{(y+\dfrac{1}{2})}\ =\ 2t dt$

On integrating both sides, we will have

$\int{\dfrac{dy}{(y+\dfrac{1}{2})}}\ =\ \int{2t dt}$

$=>\ log(y+\dfrac{1}{2})\ =\ 2.\dfrac{t^2}{2}\ + c$

$=>\ log(y+\dfrac{1}{2})\ =\ t^2\ +\ c$

Hence, the solution of given differential equation is

$log(y+\dfrac{1}{2})\ =\ t^2\ +\ c$

8 0

4 years ago

Show me how to write the first five terms of a pattern that begins with 20

erica [24]

20,40,60,80,100,102 just continue from there

3 0

3 years ago

I hate this pain i got through i just cant anymore...<br><br> y+50=700

DiKsa [7]

Answer:

y=650

Step-by-step explanation:

Just subtract 50 from each side

And Yes, please

5 0

3 years ago

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The equation of a line is<br> -2x+5t=-20 <br>what is the x-intercept of the line?

vampirchik [111]

The x intercept of the line is at x = 10.

The x intercept is always the value of x when all other values are equal to 0. So in this case, we put 0 in for t and then solve.

-2x + 5t = -20

-2x + 5(0) = -20

-2x = -20

x = 10

8 0

3 years ago

How many ML are in 7L

sergeinik [125]

Hello,
7l=7×1000=7000 ml

Bye :-)

8 0

3 years ago

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