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madreJ [45]
2 years ago
9

Which expression is equivalent to the expression 5(3x+4-x)

Mathematics
1 answer:
Artyom0805 [142]2 years ago
3 0
(5)(3x)+(5)(4)+(5)(-x)
15x+20-5x
Answer: 10x+20
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A special liquid is held in a tank described as (x 2 + y 2 ) ≤ z ≤ 1 in a Cartesian coordinate system. Assume that the density o
vivado [14]

Since \rho=\dfrac mV (density = mass/volume), we can get the mass/weight of the liquid by integrating the density \rho(x,y,z) over the interior of the tank. This is done with the integral

\displaystyle\int_{-1}^1\int_{-\sqrt{1-x^2}}^{\sqrt{1-x^2}}\int_{x^2+y^2}^1(2-z^2)\,\mathrm dz\,\mathrm dy\,\mathrm dx

which is more readily computed in cylindrical coordinates as

\displaystyle\int_0^{2\pi}\int_0^1\int_{r^2}^1(2-z^2)r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta=\boxed{\frac{3\pi}4}

7 0
3 years ago
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Sergio [31]

Given:

The function is:

f(x)=6x-3

To find:

The inverse of the given function, then draw the graphs of function and its inverse.

Solution:

We have,

f(x)=6x-3

Step 1: Substitute f(x)=y.

y=6x-3

Step 2: Interchange x and y.

x=6y-3

Step 3: Isolate variable y.

x+3=6y

\dfrac{x+3}{6}=y

Step 4: Substitute y=g(x).

\dfrac{x+3}{6}=g(x)

Therefore, the inverse of the given function is g(x)=\dfrac{x+3}{6} and the graphs of these functions are shown below.

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