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2 years ago

(x* +3x2 - 2x3)(-5x2 + x) = (x4 +3x2 - 2x )(-5x²)+(x4 +3x3 - 2x3)(x) is an example of:

Mathematics

1 answer:

Tomtit [17]2 years ago

5 0

Answer:

Step-by-step explanation:

The first term of the binomial needs to be multiplied by the entire trinomial. We'll use the distributive property to expand. Now we do the same process for the second term. The last step is to combine the two parts and simplify.

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In a recent survey in a Statistics class, it was determined that only 74% of the students attend class on Fridays. From past dat

Anna007 [38]

Answer:

a) 83%

b) 0.892

Step-by-step explanation:

percentage that attends class on friday = 74%

percentage that pass because they attend class on friday = 88%

percentage that pass but did not go to school on friday = 20%

a) percentage of students expected to pass the course

= (74% x 88%) +(88% x 20%)

= 0.6512 + 0.176

= 0.8272

= 83%

b) If a person passes the course, what is the probability that he/she attended classes on Fridays

= 74% divided by 83%

= 0.892

7 0

2 years ago

What is the LCM of 80 and 60

Gennadij [26K]

Answer:

240

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Complete the table for the equation y = x<br> 2. Then use the table to graph the equation.

Brrunno [24]

The coordinates (starting from left) are
(-2,-4)(-1,-3)(0,-2)(1,-1)(2,0)

to find the y..
- ur given y=x-2
- u have all the x values on the table

so say u wanna find the y for -2, just plug it into the equation y = x - 2
so then it’ll be y = (-2) - 2
the only reason u can plug in the -2 is bc the -2 is a x value

same logic for the other numbers on the table, to find the y value for -1 just plug in -1 into y = x - 2
so then it’ll be y = (-1) - 2

3 0

2 years ago

Read 2 more answers

Let f(x,y,z) = ztan-1(y2) i + z3ln(x2 + 1) j + z k. find the flux of f across the part of the paraboloid x2 + y2 + z = 3 that li

Sophie [7]

Consider the closed region $V$ bounded simultaneously by the paraboloid and plane, jointly denoted $S$ . By the divergence theorem,

$\displaystyle\iint_S\mathbf f(x,y,z)\cdot\mathrm dS=\iiint_V\nabla\cdot\mathbf f(x,y,z)\,\mathrm dV$

And since we have

$\nabla\cdot\mathbf f(x,y,z)=1$

the volume integral will be much easier to compute. Converting to cylindrical coordinates, we have

$\displaystyle\iiint_V\nabla\cdot\mathbf f(x,y,z)\,\mathrm dV=\iiint_V\mathrm dV$
$=\displaystyle\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=1}\int_{z=2}^{z=3-r^2}r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta$
$=\displaystyle2\pi\int_{r=0}^{r=1}r(3-r^2-2)\,\mathrm dr$
$=\dfrac\pi2$

Then the integral over the paraboloid would be the difference of the integral over the total surface and the integral over the disk. Denoting the disk by $D$ , we have

$\displaystyle\iint_{S-D}\mathbf f\cdot\mathrm dS=\frac\pi2-\iint_D\mathbf f\cdot\mathrm dS$

Parameterize $D$ by

$\mathbf s(u,v)=u\cos v\,\mathbf i+u\sin v\,\mathbf j+2\,\mathbf k$
$\implies\mathbf s_u\times\mathbf s_v=u\,\mathbf k$

which would give a unit normal vector of $\mathbf k$ . However, the divergence theorem requires that the closed surface $S$ be oriented with outward-pointing normal vectors, which means we should instead use $\mathbf s_v\times\mathbf s_u=-u\,\mathbf k$ .

Now,

$\displaystyle\iint_D\mathbf f\cdot\mathrm dS=\int_{u=0}^{u=1}\int_{v=0}^{v=2\pi}\mathbf f(x(u,v),y(u,v),z(u,v))\cdot(-u\,\mathbf k)\,\mathrm dv\,\mathrm du$
$=\displaystyle-4\pi\int_{u=0}^{u=1}u\,\mathrm du$
$=-2\pi$

So, the flux over the paraboloid alone is

$\displaystyle\iint_{S-D}\mathbf f\cdot\mathrm dS=\frac\pi2-(-2\pi)=\dfrac{5\pi}2$

6 0

3 years ago

Solve the equation. Round the answer to the nearest tenth.<br> 5*6^3n=20

solniwko [45]

Step-by-step explanation:

5×6'3n=20

30'3n=20

3n=20-30

3n/3= -10/3

n= -3

7 0

3 years ago