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2 years ago

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The cost of tuition at Cornell University is 43,000 per year when rounded to the nearest thousand what is the greatest possible

amount the tuition could be? what is the least possible amount the tuition could be? explain your thinking.

1 answer:

melomori [17]2 years ago

3 0

The cost of the tuitions will if you round off 43:000 it would $43

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If 400 mL of a 20% w/v solution were diluted to 2 L, what would be the final percentage strength?

irakobra [83]

Answer:

4%

Step-by-step explanation:

A 20% solution with a total volume of 400 mL has 20% * 400 mL of solute.

20% * 400 mL = 80 mL

When you dilute the solution to 2 L, you introduce additional water, but no additional solute, so now you have the same 80 mL of solute in 2 L of total solution.

The concentration is:

(80 mL)/(2 L) = (80 mL)/(2000 mL) = 0.04

As a percent it is:

0.04 * 100% = 4%

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2 years ago

F(x, y) = x2 + y2 + 4x − 4y, x2 + y2 ≤ 81 find the extreme values of f on the region described by the inequality.

Whitepunk [10]

Take partial derivatives and set them equal to 0:

$\nabla F(x,y)=\langle2x+4,2y-4\rangle=\mathbf 0$

We find one critical point within the boundary of the disk at $(x,y)=(-2,2)$ . The Hessian matrix for this function is

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Meanwhile, we can parameterize the boundary by $\mathbf r(t)=\langle9\cos t,9\sin t\rangle$ with $0\le t\le2\pi$ , which gives

$F(x,y)=F(x(t),y(t))=f(t)=81\cos^2t+81\sin^2t+36\cos t-36\sin t=81+36(\cos t-\sin t)$

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At these points, we get

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2 years ago

Camille stopped at the grocery store to buy milk. While at the store, she spotted cans of soup on sale for $2.25 each. If the mi

Mrrafil [7]

$2.25x+$3.50=$35

so, $35-$3.50=$31.50

Then you divide $31.50 by $2.25

That equals 14

So, x=14

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2 years ago

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To solve the problem, get the percentage of each test by multiplying the score and the percentage then add it all up:

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2 years ago