3 years ago

What is the constant of proportionality in the equation y = 2.5x?

Mathematics

1 answer:

strojnjashka [21]3 years ago

5 0

Answer:

0.4y

Step-by-step explanation:

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A number between and including 1 and 100 is randomly selected. What is the probability that it is prime, as a common fraction? (

erik [133]

Answer:

25%

Step-by-step explanation:

25 divided 100 = 0.25

7 0

2 years ago

Find Integrating Fector: <br> ylogy dx + ( x-logy )dy=0

12345 [234]

Rewrite the ODE as

$y\log y\,\mathrm dx+(x-\log y)\,\mathrm dy=0\iff y\log y\dfrac{\mathrm dx}{\mathrm dy}+x=\log y$
$\dfrac{\mathrm dx}{\mathrm dy}=\dfrac1{y\log y}x=\dfrac1y$

so that it is now linear in $x$ . An integrating factor would

$\mu(y)=\exp\left(\displaystyle\int\frac{\mathrm dy}{y\log y}\right)=e^{\log(\log y)}=\log y$

Multiply both sides by $\mu(y)$ to get

$\log y\dfrac{\mathrm dx}{\mathrm dy}=\dfrac1yx=\dfrac{\log y}y$
$\dfrac{\mathrm d}{\mathrm dy}[x\log y]=\dfrac{\log y}y$
$x\log y=\displaystyle\int\frac{\log y}y\,\mathrm dy$
$x\log y=\dfrac12\log^2y+C$
$x=\dfrac12\log y+\dfrac C{\log y}$

4 0

3 years ago

Find two numbers whose sum is 15; twice the first number decreased by the second number gives 6.

Olegator [25]

7 + 8 = 15
14 - 8 = 6

Hope this helps!

4 0

3 years ago

Todd placed 32 square tiles along the edge of his wooden dining room table, as shown below. Note: Figure is not drawn to scale.

Flauer [41]

Answer:

The diagonal is 421.

Step-by-step explanation:

This is a difficult question. To find the diagonal, you need to find the base and the height of the square. After that, you need to make it a triangle, by using this equation; $A=\frac{1}{2} BH$ (A being area, B being base, and H being height) then find the length of the hypotenuse of the triangle, which I will do for you.