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kolbaska11 [484]
2 years ago
11

Plz I need help with this ASAP

Mathematics
2 answers:
tatiyna2 years ago
8 0

Answer:

x = 8

Explanation:

\frac{3x^2}{4} =48

multiply both sides by 4: 3x^2=192

divide both sides by 3: x^2=64

take the square root:

\sqrt{x^2} = \sqrt{64} \\x=8

Hoochie [10]2 years ago
4 0
3x^2 / 4 = 48

Multiply both sides by 4 to get rid of the four on the left.

3x^2 = 192

Divide both sides by 3

x^2 = 64

The square root 64 to get x

Remember there are two answers

x = 8 and x = -8
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What is 2223810294+ 55367457 + 23523546?
andrezito [222]
2223810294 + 55367457 + 23523546 = 2302701297
3 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
The thickness of a U.S. penny is 5.98 X 10-2 inch.
Aleksandr [31]

Answer: 1.495*10^8\ inches

Step-by-step explanation:

For this exercise you have to remember the Product of powers property, which states that:

(a^m)(a^n)=a^{(m+n)}

Let be "x" the height in inches of a stack of 2.5*10^9 pennies.

You know that the thickness of 1 pennie is 5.98*10^{-2}\ inches, then, you can write the following proportion:

\frac{5.98*10^{-2}}{1}=\frac{x}{2.5*10^9}

Solve for "x":

(2.5*10^9)(\frac{5.98*10^{-2}}{1})=x\\\\x=14.95*10^7

To express this height in Scientific notation the decimal point must be after the first digit, so you must move it one place to the left:

x=1.495*10^8

4 0
2 years ago
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Answer:

What is that?

Step-by-step explanation:

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3 years ago
shelia received a delivery of 688 chairs for a school assembly. If she placed an equal amount of chairs in 20 rows, how many cha
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Answer:

Step-by-step explanation:

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