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2 years ago

6

Which of the following is the least appropriate thesis

Advanced Placement (AP)

1 answer:

masya89 [10]2 years ago

4 0

Answer:

The popularity of automobiles has led to the construction of super high ways

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Solve the problem plz o,t,t,f,f

RSB [31]

<span>o,t,t,f,f,s,S,E,N,T,E,T </span>
<span>It's the first letter of all the numbers starting with one, two, three, four,... </span>

<span>The second pattern I might guess would be move the O back two spaces then move one space back, then repeat. </span>
<span>JKLMNO, JKLOMN, JKOLMN, OJKLMN, JKLMON, JKOLMN, ... </span>
<span>The second one I'm not sure about because there are only three starting terms to work with. It's hard to see the real pattern with that little to work with. </span>

<span>Hope this helps. </span>

6 0

3 years ago

Surface Area of a can is 517.8 cm^2. Maximize the volume of this can using the measured surface area.

mafiozo [28]

Answer:

$r = 5.24$ --- Radius

$h = 10.48$ --- Height

Explanation:

Given

Object: Can (Cylinder)

$Surface\ Area = 517.8cm^2$

Required

Maximize the volume

The surface area is:

$S.A = 2\pi r^2 + 2\pi rh$

Substitute 517.8 for S.A

$517.8 = 2\pi r^2 + 2\pi rh$

Divide through by 2

$258.9 = \pi r^2 + \pi rh$

Factorize:

$258.9 = \pi r(r + h)$

Divide through by $\pi r$

$\frac{258.9}{\pi r} = r + h$

Make h the subject

$h = \frac{258.9}{\pi r} - r$ --- (1)

Volume (V) is calculated as:

$V = \pi r^2h$

Substitute (1) for h

$V = \pi r^2(\frac{258.9}{\pi r} - r)$

Open Bracket

$V = 258.9r - \pi r^3$

Differentiate V

$V' = 258.9 - 3\pi r^2$

Set V' to 0

$0 = 258.9 - 3\pi r^2$

Collect Like Terms

$3\pi r^2 = 258.9$

Divide through by 3

$\pi r^2 = 86.3$

Divide through by $\pi$

$r^2 = \frac{86.3}{\pi}$

$r^2 = \frac{86.3*7}{22}$

$r^2 = \frac{604.1}{22}$

Take square root of both sides

$r = \sqrt{\frac{604.1}{22}$

$r = 5.24$

Recall that:

$h = \frac{258.9}{\pi r} - r$

Substitute 5.24 for r

$h = \frac{258.9}{\pi * 5.24} - 5.24$

$h = \frac{258.9*7}{22 * 5.24} - 5.24$

$h = \frac{1812.3}{115.28} - 5.24$

$h = 15.72 - 5.24$

$h = 10.48$

Hence, the dimension that maximize the volume is:

$r = 5.24$ --- Radius

$h = 10.48$ --- Height

7 0

3 years ago

why is it neccessary to correct the readings of the respirometers containing seeds with the readings taken from the respirometer

romanna [79]

Do you have a paper or file

6 0

3 years ago

Ideal land for agricultural use in the United States is being replaced by

g100num [7]

Answer:

urban developments

Explanation:

4 0

3 years ago

Read 2 more answers

In BD, BE=10x-3 and DE=8x-1

Anettt [7]

The figure is not marked in any way that would indicate it is a parallelogram. If we assume it is, then

... BE = DE

... 10x -3 = 8x -1 . . substitute the given expressions

... 2x = 2 . . . . . . . . add 3-8x

... x = 1 . . . . . . . . . . divide by 2

The appropriate choice is ...

... A. 1 unit

_____

Since the figure is not marked to indicate BE=DE, you could argue that any answer is correct.

6 0

3 years ago