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1 year ago

An electronics company is trying to decide how many new

Advanced Placement (AP)

1 answer:

jekas [21]1 year ago

6 0

Answer:

D. The Chinese government has recently raised taxes on all foreign products

Explanation:

If the consumer expects the price of computers in China will rise, the demand for imported goods in China will rise. And the producer will export more goods to China.

Therefore the correct option is, Chinese government has recently raised taxes on

all foreign products

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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

I need a five paragraph 2 page essay on cardinals. It has to have 3 main points.

krek1111 [17]

Answer:

Main points you should right:

The importance of a cardinal

What a cardinal does

How does a cardinal help

What do they symbolize

How do cardinals bring good luck.

Do some research or from a text you read about cardinals.

3 0

2 years ago

When driving a manual how do u shift

ziro4ka [17]

B: Press the clutch then take out the gear

7 0

3 years ago

Read 2 more answers

Which diagram provides the best example of absorption? A B C D

GarryVolchara [31]

Answer:the answer is a

3 0

2 years ago

Read 2 more answers

A conical water tank is 24 ft high and has a radius of 10 ft at the top. If water flows into the tank at a rate of 20 cubic feet

Akimi4 [234]

Answer:

0.027 cubic ft/min

Explanation:

Volume of water is V=V(t) Depth of water is h=h(t)

The relationship between V and h is

V=π/3.r2.h

Let

h0= the height of the cylinder = 24ft, r0= the radius of the opening = 10ft.

Since water level (h) rise with respect to flow rate we find an expression for r and substitute into V

r/h = r0/h0= 10/24 = 5/12

r = (5/12) h,

Substitute for r in V

so,

V=1/3.π.(h2)square = 1/3.π. 25/144.(h3)

When

h= 16ft

and dV/dt = 20ft3/min

dV/dt =1/3*π*25/144*h3*(dh/dt)

20ft3/min= 1/3*π* 25/144*h3*(dh/dt)

20 = 1/3*π*(16)3.(dh/dt)

Make dh/DT subject of formula

dh/dt=(20*3*144)/(25*π*4096) = 8640/321740.8

dh/dt= 0.027 ft3/min

3 0

2 years ago