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2 years ago

The ratio of dogs to cats in the neighborhood was 3 to 7. If there was 42 dogs in the neighborhood, how many cats were there?

Mathematics

1 answer:

Anon25 [30]2 years ago

3 0

Answer: 98 cats

Step-by-step explanation:

42/3 = 14

7x14 = 98

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Susan has a pencil that is 3 centimeters shorter than this string. How long is the pencil.

ohaa [14]

What string? a picture?

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3 years ago

Use the surface integral in Stokes' Theorem to calculate the circulation of the field Bold Upper F equals x squared Bold i plus

Tom [10]

Stokes' theorem says the integral of the curl of $\vec F$ over a surface $S$ with boundary $C$ is equal to the integral of $\vec F$ along the boundary. In other words, the flux of the curl of the vector field is equal to the circulation of the field, such that

$\displaystyle\iint_S\nabla\times\vec F\cdot\mathrm d\vec S=\int_C\vec F\cdot\mathrm d\vec r$

We have

$\vec F(x,y,z)=x^2\,\vec\imath+4x\,\vec\jmath+z^2\,\vec k$

$\implies\nabla\times\vec F(x,y,z)=4\,\vec k$

Parameterize the ellipse $S$ by

$\vec s(u,v)=\dfrac{u\cos v}{\sqrt5}\,\vec\imath+\dfrac{u\sqrt5\sin v}4\,\vec\jmath$

with $0\le u\le1$ and $0\le v\le2\pi$ .

Take the normal vector to $S$ to be

$\dfrac{\partial\vec s}{\partial\vec u}\times\dfrac{\partial\vec s}{\partial\vec v}=\dfrac u4\,\vec k$

Then the flux of the curl is

$\displaystyle\iint_S4\,\vec k\cdot\dfrac u4\,\vec k\,\mathrm dA=\int_0^{2\pi}\int_0^1u\,\mathrm du\,\mathrm dv=\boxed{\pi}$

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2 years ago

Which exponential function repreasents growth?

4vir4ik [10]

Answer:

There are two types of exponential functions: exponential growth and exponential decay. In the function f (x) = bx when b > 1, the function represents exponential growth.

Step-by-step explanation: Math websites man

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1 year ago

How to solve these problems

Sunny_sXe [5.5K]

Answer:

well i am on mobile so o cant do step by step process bbut i can give you answer

Step-by-step explanation:

answers,

1. 35/9 (3.88)

2. 599/91 (6.58)

3. -66