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Aleksandr [31]
3 years ago
11

A computer is a string of 8 characters, and each character is a 0 or a 1. An example of a computer byte is 01101011. Find the nu

mber of possible computer bytes.
A. 16
B.56
C.128
D.256
Mathematics
2 answers:
arlik [135]3 years ago
7 0

Answer:  The correct option is (D) 256.

Step-by-step explanation:  Given that a computer is a string of 8 characters, and each character is a 0 or a 1.

We are to find the number of possible computer bytes.

There are two options for each of the eight characters, that is 0 or 1.

Therefore, the total number of possible computer bytes will be

n=2\times2\times2\times2\times2\times2\times2\times2\times2\\\\\Rightarrow =2^8\\\\\Rightarrow n=256.

Thus, there are 256 possible computer bytes.

Option (D) is CORRECT.

lidiya [134]3 years ago
3 0
The correct answer is D. because the number of possible computer<span>bytes is</span> 2^8 = 256.
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alexandr402 [8]
224.7 is the answer.
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3 years ago
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Jon and Erin are purchasing a new TV and stereo surround system for their living room. The cost of both items is $1675.00. They
noname [10]

Answer:

$167.50

$1507.50

$134

Step-by-step explanation:

Given that:

Cost of sound system = 1675

APR, = 12%

Down payment = 10%

Number of monthly payments = 12

r = 0.12 / 12 = 0.01

Amount of down-payment :

10% * cost of sound system

0.1 * 1675 = $167.50

Amount to be financed :

$1675 - $167.50

= $1507.50

Monthly repayment :

Using the relation :

A / {[(1+r)^n]-1}/[r(1+r)^n]

1507.5 / (1+0.01)^12-1)/(0.01(1+0.01)^12)

1507.50 / 0.1268/(0.01 * 1.1268)

1507.50 ÷ (0.1268/0.01126)

1507.50 ÷ 11.25

= $134

3 0
3 years ago
The product of two natural numbers is 1000. None of them is divisible by 10. Find their sum.
daser333 [38]

Two numbers make up the factors of 1000. <span>In order that neither of the numbers be divisible by ten, each must contain powers of only one of the prime factors of 10, namely, 2 OR 5.</span>

So let's see what we can cook up. The obvious answer is

1000 = 10 * 10 * 10

1000 = 2*5 * 2*5 * 2*5

1000 = 2^3 * 5^3

1000 = 8 * 125 Are there any others?


I don't think so. The answer then comes to 8 + 125 = 133


You might argue that -8 * - 125 would also work. But the question says natural numbers not integers.

5 0
4 years ago
What are the steps to covert the answer into a mixed fraction of this problem 45 x 3/8= 135/8
riadik2000 [5.3K]
1. Divide 135 by 8 which is equal to 16
2. Multiply 16 ×8 = 128
3. Subtract 135 - 128 =7

The seven represent the numerator so it would be 7/8.

The finally answer would be

16 \ \frac{7}{8}
7 0
3 years ago
Saige's spaceship traveled 588588588 kilometers (\text{km})(km)left parenthesis, start text, k, m, end text, right parenthesis i
lesantik [10]

Answer:

A is proportional

B and C are <u>NOT</u> proportional

Step-by-step explanation:

First, simplify 588 and 60:

<u>588 divided by 6</u>

60 divided by 6

= <u>98</u>

  10

Simplify them again by dividing them both by 2

= <u>49</u>

   5

Let's look at A:

441 and 45

Simplify by dividing by 9

= <u>49</u>

   5

It's pretty obvious that A is <u>proportional</u> because the simplified values are exactly the same.

Next, let's check B:

215  and 25

Simplify by dividing by 5

= <u>43</u>

   5

Now that its simplified you can compare

<u>43</u>   is smaller than <u>49</u>

5                               5

B is <u>not proportional</u>

<u />

Finally, let's check C:

649 and 110

Simplify by dividing by 11

= <u>51</u>

  10

Make <u>51</u> and <u>49</u> have the same denominator so we can compare them

          10         5

<u>51</u> can stay the same because 5 times 2 equals 10

10

<u>49 times 2</u>

5 times 2

=  <u>98</u>

    10

Now that the denominators are the same we can compare

<u>51</u> is much smaller than <u>98</u>

10                                     10

Therefore, C is also <u>not proportional.</u>

<u />

Hope that helps :D

<u />

8 0
4 years ago
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