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Reika [66]
3 years ago
8

10,101 base 2 + 11,011 base 2 =

Mathematics
1 answer:
REY [17]3 years ago
7 0

Answer:

110,000 base 2

Step-by-step explanation:

column 1 [the first position in the number]:

1+1=0, (carry 1<u>)</u>

column 2:

0+1 +<u>1</u> <em>(carried)</em>=0, (carry 1)

column 3:

1+0+<u>1</u><em> (carried)</em>=0, (carry 1)

column 4:

0+1+1 <em>(carried)</em>=0, (carry 1)

column 5:

1+1+1=1, (carry 1)

then you write the last 1 'cause there is n number to add with:

10,101_{2}+11,011_{2}=110,000_{2}

In binary system the highest number to write is 1, if you add 1+1, it jumps to 0, and you have to carry 1 to the next position.

If you are not sure about the sum, you can convert the numbers in base 2, to base 10, so you can know if it is correct:

10,101_{2}=21_{10}\\11,011_{2}=27_{10}\\110,000_{2}=48_{10}

So 21+27=48.

<em>In decimal system when you add 9+1, it jumps to 0 and then you have to carry 1 to the next position, because the the highest number you can write is 9.</em>

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Please help as soon as possible
Zolol [24]

Answer:

Diameter = 24 mm

Step-by-step explanation:

Volume of a sphere is 4/3 πr^{3}

First, we solve for radius:

2304π = 4/3πr^{3}

Multiply both sides by 3

3(2304π) = 4πr^{3}

Divide both sides by 4π

6912π/4π = r^{3}

1728 = r^{3}

Cuberoot both sides

\sqrt[3]{1728} = r

r= 12

Hence, the diameter would be: 2times the radius = 2*12= 24 mm

Hope this helps!

Please mark brainliest if you think I helped!

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5 0
3 years ago
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Which of the following is a correct interpretation of the expression 3 - (-5)?<br> Chanc 1 answer.
Juliette [100K]

Answer:

8

Step-by-step explanation:

3 - (-5)

This can be rewitten to

3 + 5

Why?

2 negatives cancel each other out to make a positive, therefore:

3 + 5 = 8 or 3 - (-5) = 8

5 0
3 years ago
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What is the volume of the right prism? ______ft3
oksian1 [2.3K]
Volume = Length x Width x Height

Length = 4 ft
Width = 4 ft
Height = 15 ft

Volume = 4 ft x 4 ft x 15 ft = 240 ft^3
4 0
3 years ago
A petroleum laboratory technician can perform 56 tests on samples in 7 hours. At this rate, how many of the same
natima [27]

Answer:

64

Step-by-step explanation:

56/7 = 8

8*8 = 64

64 tests

7 0
3 years ago
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A music company sells CDs for a particular artist. The company has advertising cost of $4,000 and recoding costs of $10,000; The
alukav5142 [94]

Answer:

First, let's write all the costs:

$4,000 in advertising.

$10,000 in the recording.

$5,50 per cd.

Then we have that the cost will be:

C(x) = $4,000 + $10,000 + $5.50*x

where x is the number of CDs distributed.

C(x) = $5.50*x + $14,000.

Now, they win $7.20 per cd, so the tota wins are:

W(x) = $7.20*x

The profit will be the difference between the total win and the cost:

p(x) = $7,20*x - $5.50*x - $14,000 = $1.7*x - $14,000

Now with this function, we can calculate the number of CDs that the company needs to sell in order to break even, that is when the profit is exactly zero.

P(x) = $0 = $1.7*x - $14,000

$1.7*x = $14,000

x = $14,000/$1.7 = 8,235.3 CDs, that we should round up to 8,236.

This means that the company must sell more than 8,236 if they want to have a positive profit.

8 0
3 years ago
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