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3 years ago

Write -3i + (3/4+2i) - (9/3+3i) as a complex number in standard form

Mathematics

1 answer:

bogdanovich [222]3 years ago

4 0

Answer:

= -3i + (3/4+2i) - (9/3+3i)

= (3/4 - 9/3) + (-3 + 2 -3)i

= -9/4 -4i

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3 to the fifth power over 3

ycow [4]

Answer:

Step-by-step explanation:

$\frac{3^5}{3}$ = $3^{4}$ or 81.

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3 years ago

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Choose the correct way to read 75.09

MakcuM [25]

75.09 = seventy- five and nine-hundredths

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3 years ago

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Evaluate the surface integral. s x2 + y2 + z2 ds s is the part of the cylinder x2 + y2 = 4 that lies between the planes z = 0 an

Leya [2.2K]

Parameterize the lateral face $T_1$ of the cylinder by

$\mathbf r_1(u,v)=(x(u,v),y(u,v),z(u,v))=(2\cos u,2\sin u,v$

where $0\le u\le2\pi$ and $0\le v\le3$ , and parameterize the disks $T_2,T_3$ as

$\mathbf r_2(r,\theta)=(x(r,\theta),y(r,\theta),z(r,\theta))=(r\cos\theta,r\sin\theta,0)$
$\mathbf r_3(r,\theta)=(r\cos\theta,r\sin\theta,3)$

where $0\le r\le2$ and $0\le\theta\le2\pi$ .

The integral along the surface of the cylinder (with outward/positive orientation) is then

$\displaystyle\iint_S(x^2+y^2+z^2)\,\mathrm dS=\left\{\iint_{T_1}+\iint_{T_2}+\iint_{T_3}\right\}(x^2+y^2+z^2)\,\mathrm dS$
$=\displaystyle\int_{u=0}^{u=2\pi}\int_{v=0}^{v=3}((2\cos u)^2+(2\sin u)^2+v^2)\left\|{{\mathbf r}_1}_u\times{{\mathbf r}_2}_v\right\|\,\mathrm dv\,\mathrm du+\int_{r=0}^{r=2}\int_{\theta=0}^{\theta=2\pi}((r\cos\theta)^2+(r\sin\theta)^2+0^2)\left\|{{\mathbf r}_2}_r\times{{\mathbf r}_2}_\theta\right\|\,\mathrm d\theta\,\mathrm dr+\int_{r=0}^{r=2}\int_{\theta=0}^{\theta=2\pi}((r\cos\theta)^2+(r\sin\theta)^2+3^2)\left\|{{\mathbf r}_3}_r\times{{\mathbf r}_3}_\theta\right\|\,\mathrm d\theta\,\mathrm dr$
$=\displaystyle2\int_{u=0}^{u=2\pi}\int_{v=0}^{v=3}(v^2+4)\,\mathrm dv\,\mathrm du+\int_{r=0}^{r=2}\int_{\theta=0}^{\theta=2\pi}r^3\,\mathrm d\theta\,\mathrm dr+\int_{r=0}^{r=2}\int_{\theta=0}^{\theta=2\pi}r(r^2+9)\,\mathrm d\theta\,\mathrm dr$
$=\displaystyle4\pi\int_{v=0}^{v=3}(v^2+4)\,\mathrm dv+2\pi\int_{r=0}^{r=2}r^3\,\mathrm dr+2\pi\int_{r=0}^{r=2}r(r^2+9)\,\mathrm dr$
$=136\pi$

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3 years ago

In a picture, there are 40 monkeys, and 60% of the monkeys are in the trees.

Zepler [3.9K]

The number of monkeys in the tree are 24.

<h3>What are percentages?</h3>

Percentage is the fraction of an amount expressed as a number out of hundred. The sign used to represent percentages is %.

<h3>How many monkey are in the tree?</h3>

Number of monkeys in the tree = percent x total number of monkeys

60% x 40

0.6 x 40 = 24

To learn more about percentages, please check: brainly.com/question/25764815

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2 years ago

Patients in a hospital are classified as surgical or medical. A record is kept of the number of times patients require nursing s

GREYUIT [131]

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Given:

$N= 177\\\\a=46\\\\b=52\\\\c=36\\\\d=43$

$\to \chi _{1}^{2}=\frac{N(ad-bc)^{2}}{(a+c)(b+d)(a+b)(c+d)}$

$=\frac{177((46\times 43)-(52 \times 36))^{2}}{(98)(79)(82)(95)}\\\\=\frac{177((1978)-(1872))^{2}}{60310180}\\\\=\frac{177(106)^{2}}{60310180}\\\\=\frac{177(11236)}{60310180}\\\\=\frac{1988772}{60310180}\\\\= 0.032976$

P-value= $CHIDIST(0.032976,1) = 0.86.$

thus, the surgical-medical patients and Medicare are dependent.

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2 years ago