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Nutka1998 [239]
2 years ago
10

A 2.2 GB game is being downloaded onto your laptop. When you have downloaded half a gigabyte, you notice that your computer has

been downloading at a rate of .01GB/min. Write an inequality that represents at least how many minutes (m) it will take to download the whole game.
Mathematics
1 answer:
andreev551 [17]2 years ago
6 0

Answer:

0.01m +\frac{1}{2} \geq 2.2

Step-by-step explanation:

Let m be number of minutes it will take to download the whole game.

We are told that computer is downloading at a rate of 0.01 GB per minute and half GB game is already downloaded. So 0.01*m+0.5 will be equal to 2.2 as game size is 2.2 GB.

Let us find the least number of minutes it will take to download the whole game.

0.01m +\frac{1}{2} \geq 2.2

0.01m +0.5\geq 2.2

0.01m \geq 2.2-0.5

0.01m \geq 1.7

m\geq \frac{1.5}{0.01}

Therefore, 0.01m +\frac{1}{2} \geq 2.2 is our desired inequality.



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\frac{1}{4} (2 + v) = 3 \\  \frac{1}{2}  +  \frac{1}{4} v = 3 \\ 2 + v = 12 \\ v = 10

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8 0
2 years ago
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which geometric series represents 0.4444... as a fraction? a) 1/4, 1/40, 1/400, 1/4,000 b) 1/40, 1/400, 1/4,000, 1/40,000 c) 4/1
xenn [34]

Answer: \frac{4}{10}+\frac{4}{100}+\frac{4}{1,000}+\frac{4}{10,000}


Step-by-step explanation:

The given geometric series are:

a)\frac{1}{4}+\frac{1}{40}+\frac{1}{400}+\frac{1}{4,000}

on simplifying in decimals, we get

0.25+0.025+0.0025+0.00025=0.27775\neq0.4444

b) \frac{1}{40}+\frac{1}{400}+\frac{1}{4,000}+\frac{1}{40,000}

on simplifying in decimals, we get

0.025+0.0025+0.00025+0.000025=0.027775\neq0.4444

c)\frac{4}{10}+\frac{4}{100}+\frac{4}{1,000}+\frac{4}{10,000}

on simplifying in decimals, we get

0.4+0.04+0.004+0.0004=0.4444

Thus, this geometric series represent 0.4444.

d)\frac{1}{10}+\frac{1}{100}+\frac{1}{1,000}+\frac{1}{10,000}

on simplifying in decimals, we get

0.1+0.01+0.001+0.0001=0.1111\ \neq0.4444

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2 years ago
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Answer:

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answer :

attached below

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Seismic waves are a type of energy waves that occur through the layers of the Earth. they are caused by various natural disasters such as ; Earthquakes, landslides e.t.c although they can be caused by man-made explosions as well.

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Answer:

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The quotient of 9.2 x 10 6 and 2.3 x 10 2 expressed in scientific notation is
Virty [35]
What we know:
quotient 9.2 x 10^6/ 2.3 x 10²
in quotients exponents are subtracted of they have the same base, for example 10^6 and 10² have the same base of 10

What we need to find: quotient 9.2 x 10^6/ 2.3 x 10²
9.2 x 10^6        
--------------  =    4 x 10^4    
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Here in this problem I divided 9.2 by 2.3 and got 4, since the solution was simple and clean meaning no repeated decimals I went ahead and divided the 10^6 by 10^2 and got 10^4.


Another method would be to expand both numbers then divide and do scientific notation again.
Remember to change to normal notation you move the decimal to the right using the number of the exponent.

9.2 x 10^6= 9200000
2.3 x 10²= 230

920000/230=40000

40000= 4 x 10^4 scientific notation

Use the method that is best for you or just know you can use either method to check your work.

4 0
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