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netineya [11]
3 years ago
6

(URGENT) Can someone please help me with this? Thank you! :)

Mathematics
1 answer:
Murrr4er [49]3 years ago
7 0
The remainder theorem tells you that when you do synthetic division with the 6, the remainder will be the same value as when you evaluate the function with the value of 6. The answer is 15

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A rectangular box with a square base and a cover is to be built to contain 640 cubic feet. If the cost per square foot for the b
mixer [17]

Answer:

  $4800

Step-by-step explanation:

The cost is minimized when any pair of opposite faces of the box costs the same as any other pair. Since the top+bottom total $25 per square foot and the sides (left+right or front+back) total $20 per square foot, the area of a side must be 25/20 = 5/4 times the area of the top or bottom.

If we let x represent the length of one side of the square bottom, then 5/4x will be the height of the box. Its volume will be ...

  (5/4x)(x²) = 640 ft³

  x³ = (4/5)(640 ft³) = 512 ft³ . . . . . . multiply by 4/5

  x = 8 ft . . . . . . . . . . . . . . . . . . . . . . . take the cube root

The base area is then (8 ft)² = 64 ft², and the cost of the top+bottom is ...

  64 ft² × $25/ft² = $1600

The three pairs of opposite sides will cost 3×$1600 = $4800.

The minimum cost of the constructed box is $4800.

_____

You can also write an equation for the total cost in terms of x, the side length of the base. That cost function will be ...

  c(x) = 15x² + 10x² + 10·4x(640/x²)

This simplifies to ...

  c(x) = 25x² +25600/x

A graph shows the minimum is c(8) = 4800 (as above).

__

Algebraically, you can set the derivative to zero to find the value of x.

  dc/dx = 0 = 50x -25600/x²

  512 = x³ . . . . multiply by x²/50 and add 512

  8 = x . . . . . . . take the square root. Same solution as above. <em>Cost is minimized when the side length of the base is 8 ft</em>.

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3 years ago
Write an equation in slope-intercept form of the line with the given parametric equations.
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Answer:

y = (-2/3)x + 31/3

Step-by-step explanation:

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3 years ago
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Idk how to do this im literally just learning it
zimovet [89]

Answer:

3/10 is the answer if u ypi are trying to convert

glad I could help welcome to brainly!!

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Shaul made a password that consists of one letter followed by two digits. The two digits are different. How many possible passwo
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278. I got It By Counting The Letters On Meh Keyboard As Many Times As The #'s On My Keyboard.
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Lauren spent 24 hours on the computer last week. She spent 2/3 of the time doing homework. How much time did Lauren spend doing
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If Lauren spend 2/3 of her 24-hour computer time doing homework, this means she spent 16 hours doing homework. Each third of the 24 hours is 8 hours, so two thirds would be 16 hours.


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