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scZoUnD [109]
2 years ago
7

How is the binary system similar to the decimal system?

Mathematics
1 answer:
inessss [21]2 years ago
3 0

What is meant binary number?

Binary number system, in mathematics, positional numeral system employing 2 as the base and so requiring only two different symbols for its digits, 0 and 1, instead of the usual 10 different symbols needed in the decimal system.

What is decimal in number system?

  • A number system which uses digits from 0 to 9 to represent a number with base 10 is the decimal system number.
  • The number is expressed in base-10 where each value is denoted by 0 or first nine positive integers.
  • Each value in this number system has the place value of power 10.

Similarities between binary and decimal systems -

  • Arithmetic operations can be carried out on numbers in both the binary ands decimal systems
  • Values of each bit and digit in binary and decimal numbers respectively depends on how close they are to the decimal point
  • Integer and fraction components are represented in both decimal and binary systems.

Learn more about decimal systems

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What are the values of x and y?
Vesna [10]

Answer:

B)   x = 8\sqrt{3} ;  y = 4\sqrt{3}

Step-by-step explanation:

in a 30-60-90° triangle the sides, respectively, are in the ratio of

1 : \sqrt{3} : 2

we can find 'x' by creating this proportion:

12/\sqrt{3} = x/2

cross-multiply to get:

\sqrt{3}x = 24

x = 24/\sqrt{3}

we can simplify this by 'rationalizing the denominator' which is to

multiply numerator and denominator by \sqrt{3} to get:

(24\sqrt{3})÷3, which is 8\sqrt{3}

we know that side 'y' is half that of side 'x'

therefore y = 4\sqrt{3}

3 0
2 years ago
An initial deposit of $45,000 grows at an annual rate of 10% for 20 years. Compare the final balances resulting from continuous
Ugo [173]

Answer:

Annual:         $302 737.50

Continuous: $332 507.52

Step-by-step explanation:

A. Compounded annually

The formula for <em>compound interest</em> is

A = P(1 + r)ⁿ

Data:

P = $45 000

r  = 10 %

t = 20 yr

Calculations:

n = 20

A = 45 000(1+ 0.10)²⁰

  = 45 000 × 1.10²⁰

  = 45 000 × 6.727 499 95

  = $302 737.50

B. Compounded continuously

The formula for <em>continuously compounded inerest</em> is

A = Pe^{rt}

A = 45 000e^{0.10 \times20}

= 45 000e^{2.0}

  = 45 000 × 7.389 056 61

  = $332 507.52

4 0
3 years ago
Wdssfdfdsfaskfjdlsfjdskfjsd
Artemon [7]

Answer:

1.) 1  1/14

2.) 1/5

3.) 1/15

4.) 1

(They are all simplified)

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What is the value of x?
maw [93]

Answer:

you need to give us a mathematical equation to answer that

Step-by-step explanation:

please add

6 0
3 years ago
Helppp math sucksss
Alex777 [14]

Answer:

H can't be a function.

Step-by-step explanation:

If x has more than one y then it doesn't pass the vertical line test and is not a function.

7 0
3 years ago
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