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Zinaida [17]
2 years ago
6

A+ b = 180 x + 25 5x Write the equation and solve for x.

Mathematics
1 answer:
Len [333]2 years ago
8 0

Answer:

x is approximately 25.83

Step-by-step explanation:

x + 25 + 5x = 180

6x + 25 = 180

6x = 155

x=25.83

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Using the bijection rule to count binary strings with even parity.
AleksandrR [38]

Answer:

Lets denote c the concatenation of strings. For a binary string <em>a</em> in B9, we define the element f(a) in E10 this way:

  • f(a) = a c {1} if a has an odd number of 1's
  • f(a) = a c {0} if a has an even number of 1's

Step-by-step explanation:

To show that the function f defined above is a bijective function, we need to prove that f is well defined, injective and surjective.

f   is well defined:

To see this, we need to show that f sends elements fromo b9 to elements of E10. first note that f(a) has 1 more binary integer than a, thus, it has 10. if a has an even number of 1's, then f(a) also has an even number because a 0 was added. On the other hand, if a has an odd number of 1's, then f(a) has one more 1, as a consecuence it will have an even number of 1's. This shows that, independently of the case, f(a) is an element of E10. Thus, f is well defined.

f is injective (or one on one):

If a and b are 2 different binary strings, then f(a) and f(b) will also be different because the first 9 elements of f(a) form a and the first elements of f(b) form b, thus f(a) is different from f(b). This proves that f in injective.

f is surjective:

Let y be an element of E10, Let x be the first 9 elements of y, then f(x) = y:

  • If x has an even number of 1's, then the last digit of y has to be 0, and f(x) = x c {0} = y
  • If x has an odd number of 1's, then the last digit of y has to be a 1, otherwise it wont be an element of E10, and f(x) = x c {1} = y

This shows that f is well defined from B9 to E10, injective, and surjective, thus it is a bijection.

3 0
3 years ago
*HELP QUICK BEST FIRST PERSON WILL BE NAMED BRANLIEST*
Viktor [21]

Answer:

Step-by-step explanation:

length = 6 x 1/3 = 2 inches

width = 4 x 1/3 = 4/3 inches

height = 8 x 1/3 = 8/3 inches

 

volume = lwh = 2 x 4/3 x 8/3 = 64/9 cubic inches

 

Another approach is the following:

 

There are 6 x 4 x 8 = 192 cubes inside the prism,

Each cube has a volume of 1/27 cubic inches.

 

Therefore total volume = 192 x 1/27 = 192/27 = 9

4 0
2 years ago
30 points!!! Help me on 1. 2. 3.
BaLLatris [955]
I think 1 is to press C
8 0
2 years ago
(QUICK RESPONSE!!!) Which graph shows the solution set for 2 x + 3 greater-than negative 9?
iris [78.8K]

Answer:

It's the last answer choice

Step-by-step explanation:

2x+3> -9

2x+3-3> -9-3

2x> -12

2x/2> -12/2

x> -6

6 0
3 years ago
The product of 3001 x 25 is ?
Nookie1986 [14]
D
An easier way of doing it mentally is 3 x 25 which is 75 and then 1 x 25 which is 25
7 0
2 years ago
Read 2 more answers
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