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3 years ago

Which ordered pair is not a solution to the inequality 2x+4y<9

Mathematics

1 answer:

castortr0y [4]3 years ago

4 0

Answer:

2x+4y,9

Step-by-step explanation:

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A device produces random 64-bit integers at a rate of one billion per second. After how many years of running is it unavoidable

nikitadnepr [17]

Answer:

3171 × 10^(44) years

Step-by-step explanation:

For each bit, since we are looking how many years of running it is unavoidable that the device produces an output for the second time, the possible integers are from 0 to 9. This is 10 possible integers for each bit.

Thus, total number of possible 64 bit integers = 10^(64) integers

Now, we are told that the device produces random integers at a rate of one billion per second (10^(9) billion per second)

Let's calculate how many it can produce in a year.

1 year = 365 × 24 × 60 × 60 seconds = 31,536,000 seconds

Thus, per year it will produce;

(10^(9) billion per second) × 31,536,000 seconds = 3.1536 × 10^(16)

Thus;

Number of years of running is it unavoidable that the device produces an output for the second time is;

(10^(64))/(3.1536 × 10^(16)) = 3171 × 10^(44) years

6 0

3 years ago

Find the common ratio of the following geometric sequence 5/12, 1/4 , 3/20,9/100,27/500

mixas84 [53]

All you have to is divide two consecutive terms to calculate the common ratio

1/4 divided by 5/12 = 1/4 * 12/5 = 12/20 = 3/5

7 0

3 years ago

The table represents a function.

Amiraneli [1.4K]

The answer is less than :)

4 0

3 years ago

Read 2 more answers

My uncle bought a second-hand truck for $25400 and spent $600 to repair it. What is the CP?

alex41 [277]

Answer:

buy a used better tuck with the 25400 inside of buying the truvk that is broke or thst you to repair

Step-by-step explanation:

jus buy the better truck.

5 0

2 years ago

A fireplace arch is to be constructed in the form of a semiellipse. The opening is to have a height of 3 feet at the center and

USPshnik [31]

Answer:

Step-by-step explanation:

Given

Fireplace is in the form of semi-ellipse with height of 3 ft from center

Length of base=8 ft

if the arch is in the form of ellipse then it can be considered as horizontal ellipse with 2 a and 2 b be length of major and minor axis

2 a =8

a=4 ft

If contractor cover the whole base

then total length of string=2a =8 ft

(b)String should be nailed at focus

focus of ellipse is a e

where e=eccentricity

$e=\sqrt{1-(\frac{b}{a})^2}$

$e=\sqrt{1-(\frac{3}{4})^2}=\frac{\sqrt{7}}{4}$

Focus $=ae =\sqrt{7}$

Thus string should be nailed at 2.64 m from center

8 0

3 years ago