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2 years ago

How many newtons are required to accelerate 1 kilogram of mass at 1 meter per second?

Mathematics

1 answer:

Anna11 [10]2 years ago

7 0

F=ma
Where m is mass ,a is acceleration
F=1kg×1m/sec
F=1 newton

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What is 294 miles every 14 gallons

azamat

294 miles per 14 gallons = 21 miles per 1 gallon

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3 years ago

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.

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

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2 years ago

Choose the correct answer to 7,215 divided by 34 with a remainder

Vsevolod [243]

7,215: 34 = 0,212205882352941

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2 years ago

What is the initial value of the function represented by this table?

klemol [59]

Check the picture below.

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3 years ago

10. What is an expression for the perimeter of the triangle?

Whitepunk [10]

Answer:

See explanation, and comment for more details!

Step-by-step explanation:

10. The perimeter of any shape is the sum of the length of the sides, which means that the perimeter of this triangle is x+y+z.

11. Since this is a right triangle, the two legs form the height and base. The area of this triangle is therefore x*y/2.

12.

a. x=3, y=4, z=5

b. $x=\sqrt{2}, y=\sqrt{2}, z=2$

c. $x= \sqrt{3}, y=2, z=\sqrt{7}$

Hope this helps!

4 0

3 years ago