Each pixel equal to: 3 x 8 = 24 ( bits)
So each pictures equal to: [( 640 x 24) + ( 480 x 24)] x 2  = 53760 ( bits )

This network can carry:

128,000,000 : 53,760 \(\approx2381\) (frames)

Not right yet :)

We have: g = \(\dfrac{9,8}{1,7^2}\approx3,4\)

So the height is: \(\dfrac{1}{2}.3,4.1,7^2\approx4,913\)(m) 

We have: 99,33 million km = 99,330,000,000 m 

The speed of light is: 300,000,000 m

So the researcher has to wait: 

99,330,000,000 : 300,000,000 = 331,1 s

331,1 = 5 mins 31 sec 

It can runs at a speed of 120 rpm. 

=> It can runs at speed of 60 rotations/30 seconds

It has the 6cm - diameter, so its perimeter is: 6 x 3,14=18,84(cm)

18,84 cm per a rotation, so in 30 seconds, it can travel:

18,84 x 60 = 1130,4 (cm) 

While carrying 10 pounds, the robot's total amount of battery time while travelling at maximun velocity will decrease 8 x 10 = 80 (mins)

It has the battery time travelling at maximum velocity left is: 

180 - 80 = 100(mins)

For 1 minute, it can travel at the speed 20ft/min

So it can travel: 100 x 20 = 2000 (ft)

The rap songs Vivian has on her MP3-player is:

45 - 15 = 30 ( songs )

So the ratio of the alternative rock to the rap songs is:

\(\dfrac{15}{30}=\dfrac{1}{2}\)

Malik has the same ratio with Vivian, so the ratio of the alternative rock to the rap songs in Malik's MP3-player is also \(\dfrac{1}{2}\)

So the rap songs Malik has on his MP3-player is:

60:(1+2) x 2 = 40 (songs)

Malik has more rap songs than Vivian: 40 - 30 = 10 (songs)

The vowels of the word FACTOR is A and O

If A is the first letter so the second letter has five ways.

                                           third letter has four ways

                                           fourth letter has three ways

                                           fifth letter has two ways

                         and the last letter has 1 way

So with the letter A at first, we have: 5 x 4 x 3 x 2 x 1 = 120 ways

Do the same as the letter O. We also have: 120 ways.

In all, we have: 120 x 2 = 240 ( ways)

In its second bounce, its height is: 16:2

In its third bounce, its height is: \(16:2^2\)

...

So in its seventh bounce, its height is: \(16:2^6=1\) ( feet high)

The population in the last year is: 

100% - 5% = 95%

The population in the last 2nd year is:

95% - 5% = 90,25%

The population in the last 3rd year is:

90,25% - 5% = 85,7485%

The population in the last 4th year is:

85,7485% - 5% = 81,4610575%

The population in the last 5th year is: 

81,4610575% - 5% = 77,388004625%

The population of CircleTown 5 years ago is:

3105 x 77,388004625% = 2402.89754361 \(\approx2403\) people
 

We have: AC = BC x 5 

And AB = AC - BC = 5 x BC - BC = 4 x BC (1)

Other way:

AB = 2 x BC + 8 (2)
Pick (1) - (2) we have:

0 = 2 x BC - 8

\(\Leftrightarrow\) 2 x BC = 8 

\(\Leftrightarrow\) BC = 4

So AC = 4 x 5 = 20

The score of his students is:

\(28.73=2044\)(points)

The score after removing the lowest score is:

\(2044-19=2025\)(points)

The adjusted class average is:

\(2025\div\left(28-1\right)=75\)(points)

Call four consecutive even integers is a; a+2; a+4; a+6 (a\(\in Z\))

Their sum is: a+a+2+a+4+a+6 = 596

\(\Leftrightarrow4a+12=596\)

\(\Leftrightarrow4a=584\)

\(\Leftrightarrow a=146\)

\(\Leftrightarrow a+6=152\)

Their product is: 146.152 = 22192

Oh, sorry, the answer of the exercise is 10 not 9. Sorry ^^

The weight of the women in the group is: 

\(109\times5=545\)(pounds)

The weight of the men in the group is:

\(1921-545=1376\)(pounds)

The average of the men in the group is:

\(1376:8=172\)(pounds)

The sum of two complement angle is: \(180^0\)

The sum times of the angles and its complement angle is: \(5,5+1=6,5\)(times)

The supplement of the angle is: \(180:6,5\approx28^0\)

If he want to have the largest result so the two-digit positive integer he choose must be the largest so it is 99

Add it to 200, we have 299.

Square the result we have: 89401

He had 5 times anwered incorrectly so the points he lost is:

\(50.5=250\)(points)

The points must he received to have 450 points is :

\(450+250=700\)(points)

The questions which he answered correctly is:

\(700:25=28\)(questions)

The questions were asked in the game is: 

\(28+5=33\)(questions)

We see:

30 is a multiple of 6; \(30=6\times5\)

If she continues to increase the number of pages she reads each by 6, so 36 is also a multiple of 6; \(36=6\times6\)

So the sum of all the page she read is:

\(6\times\left(5+6+...\right)=270\)

We also have: \(270=6\times45\)

\(\Rightarrow5+6+...=45\)

But \(5+6+7+8+9=45\)

So the day she needs to read that book is 9 days

The time he pass from 5:08 to 6:20 is:

\(6h20'-5h08'=1h12'=1,2h\)

The length that he pass is:

\(216-138=78\)(miles)

Her average speed is:

\(78:1,2=65\)(mph)

The groceries cost: \(20-4,63=15,37\)( bill )