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3 years ago

8

01:44:56

1 answer:

Nezavi [6.7K]3 years ago

3 0

Answer: the equation would be 5n=1,500

Step-by-step explanation:

5 dollars per N (student) they need to make 1,500 so you need to find n

( to find N do 1,500 divided by 5 = 300

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Integrate G(x,y,z)equalsz over the parabolic cylinder yequalszsquared, 0less than or equalsxless than or equals2, 0less than

yKpoI14uk [10]

I gather you're supposed to compute the integral of $G(x,y,z)=z$ over a surface $S$ that is the part of the parabolic cylinder $y=z^2$ with $0\le x\le2$ and $0\le z\le\frac{\sqrt{15}}2$ .

We can parameterize $S$ by

$\vec s(x,z)=x\,\vec\imath+z^2\,\vec\jmath+z\,\vec k$

with the given constraints on $x$ and $z$ . Take the normal vector to $S$ to be

$\vec s_x\times\vec s_z=-\vec\jmath+2z\,\vec k$

so that the surface element is

$\mathrm dS=\|\vec s_x\times\vec s_z\|\,\mathrm dx\,\mathrm dz=\sqrt{1+4z^2}\,\mathrm dx\,\mathrm dz$

Then in the integral, we have

$\displaystyle\iint_Sz\,\mathrm dS=\int_0^2\int_0^{\sqrt{15}/2}z\sqrt{1+4z^2}\,\mathrm dz\,\mathrm dx=\boxed{\frac{21}2}$

5 0

3 years ago

Given that ΔPQR is similar to ΔPTS, which statement MUST be true? A) m∠PST = m∠QPR B) m∠TPS = m∠RPQ C) m∠SPT = m∠PTS D) m∠PRQ =

galina1969 [7]

Answer:

The correct option is B.

Step-by-step explanation:

Two triangle are similar if their corresponding sides are in the same proportion or the corresponding angles are same.

It is given that the ΔPQR is similar to ΔPTS. It means all corresponding angles are same.

$\angle R=\angle S$

$\angle Q=\angle T$

$\angle P=\angle P$

Angle P can be defined as

$\angle QPR=\angle TPS$

$\angle RPQ=\angle TPS$

Therefore option B is correct.

$\angle PST\neq\angle QPR$

$\angle SPT\neq\angle PTS$

$\angle PRQ\neq\angle PTS$

Therefore option A, C and D are incorrect.

7 0

3 years ago

Read 2 more answers

In two or more complete sentences describe how to determine the appropriate model for the set of data. (1, 1), (3, 2), (6, 3), (

Dafna1 [17]

Answer:

3,2

Step-by-step explanation:

hope you like it then comment

5 0

3 years ago

Mark walked 21,129 feet in one hour. at that speed, how many miles will he walk in 2 hours

Vladimir79 [104]

So a mile has 5280 feet.

21,129/5280= 4 mph

multiply

4 x 2 = 8 miles in 2 hours

3 0

3 years ago

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(a) Books to authors

Ede4ka [16]

Answer:Letter D.

Step-by-step explanation:

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3 years ago