3 years ago

How many bushels in a peck?

Mathematics

2 answers:

trapecia [35]3 years ago

5 0

0.25 equals one bushel!

Wow that was fun to do.

OverLord2011 [107]3 years ago

4 0

0.25 Hope this helps!

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Find the solution of the differential equation that satisfies the given initial condition. dy/dx=x/y , y(0)=-1

Charra [1.4K]

Separating variables, we have

$\dfrac{dy}{dx} = \dfrac xy \implies y\,dy = x\,dx$

Integrate both sides.

$\displaystyle \int y\,dy = \int x\,dx$

$\dfrac12 y^2 = \dfrac12 x^2 + C$

Given that $y(0)=-1$ , we find

$\dfrac12 (-1)^2 = \dfrac12 0^2 + C \implies C = \dfrac12$

Then the particular solution is

$\dfrac12 y^2 = \dfrac12 x^2 + \dfrac12$

$y^2 = x^2 + 1$

$y = \pm\sqrt{x^2 + 1}$

and because $y(0)=-1$ , we take the negative solution to accommodate this initial value.

$\boxed{y(x) = -\sqrt{x^2+1}}$

7 0

2 years ago

What is area of this shape

german

Answer:

132 ft squared

Step-by-step explanation:

One way is to divide the shape into a rectangle and a triangle, by drawing a vertical line.

This gives a rectangle that is 9 by 11, so has area 99.

The triangle has a base of 11 and height of 15 - 9 = 6.

So the area of the triangle = 1/2 x b x h = 1/2 x 11 x 6 = 33

So the total area is 99 + 33 = 132.

5 0

3 years ago

In the star below, all of the inscribed angles are congruent. Find the measure of each inscribed angle.

ozzi

Answer:

36 degrees for each angle.

Step-by-step explanation:

If you divide 180 by 5 (for each point in the star) you get 36 degrees.

7 0

3 years ago

Please help quickly it is super late rn

pychu [463]

Step-by-step explanation:

-4^(-5)/ 2^(-3) =

2³/(-4)^5 =

8/(-1024) =

- 1/128 (d)

7 0

3 years ago

9/15 + 7/15= ? Pls help I’m being dumb :0

Mashutka [201]

I think the answer is 1.06666666667

7 0

3 years ago