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leva [86]
3 years ago
10

What is 13/14+57/8 equally In fraction form

Mathematics
1 answer:
SpyIntel [72]3 years ago
6 0

Answer:

8 3/56

Step-by-step explanation:

8 whole number, 3 over 56

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Tell whether the ordered pair is a solution of the system of equations.
katovenus [111]

Answer:

2x + y = 5

y = 4x – 1

Substitute (2, 1) into system, then:

2x + y = 5  => 2 x 2 + 1 = 5 => 5 = 5 (satisfied)

y = 4x– 1   => 4 x 2 - 1 = 1  => -7 = 1 (not satisfied)

=> Option 3 is correct.

Hope this helps!

:)

8 0
2 years ago
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
Find the surface area of the following prism.
Lynna [10]

Answer: 350 square inches

The surface area formula of a trapezoidal prism is h (b + d) + l (a + b + c + d)

4(9+7) + 11 (5+7+9 +5)

--> 350

3 0
2 years ago
How many miles is detroit from lansing?
Alex17521 [72]

Answer: 90

90 miles with light traffic 93 with mild traffic and 119 miles with backed up traffic!

5 0
3 years ago
What is the value of w in this equation? <br><br> 15 + w = 75
uranmaximum [27]

Answer:

w=60

Step-by-step explanation:

15+w=75

Subtract 15 from both sides of the equation.

15+w-15=75-15

w=60

6 0
3 years ago
Read 2 more answers
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