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3 years ago

14

$80 jacket: 15% off: 5.5% tax

1 answer:

hodyreva [135]3 years ago

7 0

Answer:68.055

Step-by-step explanation:Google said so ;))

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Use spherical coordinates. evaluate xyz dv e , where e lies between the spheres ρ = 4 and ρ = 6 and above the cone ϕ = π/3.

sergey [27]

Set

$x=\rho\cos\theta\sin\varphi$

$y=\rho\sin\theta\sin\varphi$

$z=\rho\cos\varphi$

so that the volume element is

$\mathrm dV=\mathrm dx\,\mathrm dy\,\mathrm dz=\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi$

The integral is then

$\displaystyle\iiint_Exyz\,\mathrm dV=\int_{\varphi=0}^{\varphi=\pi/3}\int_{\theta=0}^{\theta=2\pi}\int_{\rho=4}^{\rho=6}\rho^5\cos\theta\sin\theta\sin^3\varphi\cos\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\rho$

$=\displaystyle\left(\int_0^{\pi/3}\sin^3\varphi\cos\varphi\,\mathrm d\varphi\right)\underbrace{\left(\int_0^{2\pi}\cos\theta\sin\theta\,\mathrm d\theta\right)}_0\left(\int_4^6\rho^5\,\mathrm d\rho\right)$

and so evaluates to 0.

3 0

3 years ago

Two different ratios equivalent to 6:9

Lerok [7]

Answer: 2:3 and 12:18

Step-by-step explanation: Find the multiples of 6 and 9

6 0

3 years ago

Read 2 more answers

. You and a friend have dinner at a restaurant . Your meal costs $15.85 and you leave an 18% tip and your friend's meal cost $14

Allushta [10]

Answer:

$1.54

Step-by-step explanation:

18% of $15.85 is 2.853, so your total is $18.703

20% of $14.30 is 2.86, so their total is $17.16

So the difference is $1.543, rounded (since your dealing with money) would be $1.54

3 0

3 years ago

A research scientist wants to know how many times per hour a certain strand of bacteria reproduces. The mean is found to be 13.6

dimaraw [331]

Answer:

The confidence interval is $13.4< \mu < 13.8$

Step-by-step explanation:

From the question we are told that

The sample mean is $\= x = 13.6$

The standard deviation is $\sigma = 1.9$

The sample size is $n = 189$

given that the confidence level is 85% then the level of significance is mathematically represented as

$\alpha = (100 - 85 )\%$

$\alpha = 0.15$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the normal distribution table the value is

$Z_{\frac{\alpha }{2} } = 1.44$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }$

=> $E = 1.44* \frac{1.9}{\sqrt{189} }$

=> $E = 0.1990$

The 85% confidence interval is mathematically represented as

$\= x - E < \mu$

=> $13.6- 0.1990 < \mu < 13.6+ 0.1990$

=> $13.4< \mu < 13.8$

5 0

3 years ago

What is the area of the triangle? btw this ⌜ is on the right side<br><br> urgent<br> ◢2<br> 2

RoseWind [281]

It equals 4 my man ye

4 0

3 years ago

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