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emmasim [6.3K]
3 years ago
12

Add. 523.71 + 0.55 = ?

Mathematics
2 answers:
Crank3 years ago
5 0
532.71
.55
The first step is lining up the decimals.
Then you add like normal
The answer would be 524.26
Zielflug [23.3K]3 years ago
3 0

The Correct Answer Is <u><em>524.26</em></u>

Hope This Helps!!!

-Austint1414

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Meg initially has 3 hours of pop music and 2 hours of classical music in her collection. Every month onwards, the hours of pop m
zlopas [31]

Answer:  Option 'd' is correct.

Step-by-step explanation:

Since we have given that

Number of hours of pop music = 3

Number of hours of classical music = 2

According to question, Every month onwards, the hours of pop music in her collection is 5% more than what she had the previous month. Her classical music does not change.

Rate of increment = 5% = 0.05

Let the number of months be 'x'.

So, our required function becomes,

f(x)=3(1+0.05)x+2\\\\f(x)=3(1.05)x+2

Hence, Option 'd' is correct.

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3 years ago
Could the inverse of a non-function be a function? Explain or give an example.
Kitty [74]

Answer:

The inverse of a non-function mapping is not necessarily a function.

For example, the inverse of the non-function mapping \lbrace (0,\, 0),\, (0,\, 1),\, (1,\, 0),\, (1,\, 1) \rbrace\! is the same as itself (and thus isn't a function, either.)

Step-by-step explanation:

A mapping is a set of pairs of the form (a,\, b). The first entry of each pair is the value of the input. The second entry of the pair would be the value of the output.  

A mapping is a function if and only if for each possible input value x, at most one of the distinct pairs includes x\! as the value of first entry.

For example, the mapping \lbrace (0,\, 0),\, (1,\, 0) \rbrace is a function. However, the mapping \lbrace (0,\, 0),\, (1,\, 0),\, (1,\, 1) \rbrace isn't a function since more than one of the distinct pairs in this mapping include 1 as the value of the first entry.

The inverse of a mapping is obtained by interchanging the two entries of each of the pairs. For example, the inverse of the mapping \lbrace (a_{1},\, b_{1}),\, (a_{2},\, b_{2})\rbrace is the mapping \lbrace (b_{1},\, a_{1}),\, (b_{2},\, a_{2})\rbrace.

Consider mapping \lbrace (0,\, 0),\, (0,\, 1),\, (1,\, 0),\, (1,\, 1) \rbrace\!. This mapping isn't a function since the input value 0 is the first entry of more than one of the pairs.

Invert \lbrace (0,\, 0),\, (0,\, 1),\, (1,\, 0),\, (1,\, 1) \rbrace\! as follows:

  • (0,\, 0) becomes (0,\, 0).
  • (0,\, 1) becomes (1,\, 0).
  • (1,\, 0) becomes (0,\, 1).
  • (1,\, 1) becomes (1,\, 1).

In other words, the inverse of the mapping \lbrace (0,\, 0),\, (0,\, 1),\, (1,\, 0),\, (1,\, 1) \rbrace\! would be \lbrace (0,\, 0),\, (1,\, 0),\, (0,\, 1),\, (1,\, 1) \rbrace\!, which is the same as the original mapping. (Mappings are sets. There is no order between entries within a mapping.)

Thus, \lbrace (0,\, 0),\, (0,\, 1),\, (1,\, 0),\, (1,\, 1) \rbrace\! is an example of a non-function mapping that is still not a function.

More generally, the inverse of non-trivial ellipses (a class of continuous non-function \mathbb{R} \to \mathbb{R} mappings, including circles) are also non-function mappings.

3 0
2 years ago
The sum of 6 and the product of 3 and d​
Novosadov [1.4K]

Answer:

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Step-by-step explanation:

First, we can translate from English words to mathematical operations:

– Product: the result of multiplication

– Sum: the result of addition

So, we can rephrase the original sentence as “the result of adding 6 and (the result of multiplying 3 and d)”

When we multiply a constant like 3 by a variable like d, we usually write the two next to each other, which would be “3d” in this case. We can replace that last sentence in symbols with 6 + 3d

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2 years ago
Rationalize the denominator 2√7+√3/3√7-√3​
Dahasolnce [82]

Answer:

\frac{2 \sqrt{7}  + \sqrt{3}}{3 \sqrt{7} -  \sqrt{3}  }  =  \frac{2 \sqrt{7}  + \sqrt{3}}{3 \sqrt{7}  -  \sqrt{3} } . \frac{3 \sqrt{7} +  \sqrt{3}  }{3 \sqrt{7} +  \sqrt{3}  }  \\  \\  =  \frac{(2 \sqrt{7} + 3)(3 \sqrt{7}  +  \sqrt{3})  }{(3 \sqrt{7}  - 3)(3 \sqrt{7} +  \sqrt{3} ) }  \\  \\  =  \frac{(42 + 2 \sqrt{21} + 9 \sqrt{21}   + 3 \sqrt{21} )}{63 - 3}  \\  \\  =  \frac{42 +  2\sqrt{21}  + 9 \sqrt{21} + 3 \sqrt{21}  }{60}

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3 years ago
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Whats is the anwser to twelve times twenty
balandron [24]

Answer:240

Step-by-step explanation:

120

× 12

------

240

5 0
3 years ago
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