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2 years ago

What is the simplified form of the expression 11[6^2/(5^2-4^2)+7]

Mathematics

1 answer:

earnstyle [38]2 years ago

4 0

Answer:

121

Step-by-step explanation:

A calculator can answer this for you.

_____

Following the steps of the <em>order of operations</em>, you evaluate inner parentheses first. The exponents are the first to be evaluated there.

11[6^2/(5^2-4^2)+7]

= 11[6^2/(25 -16)+7]

= 11[6^2/9 +7]

Then you do the exponent ...

= 11[36/9 +7]

Now you do the division ...

= 11[4 +7]

And finally, you can finish up the outer parentheses ...

= 11·11

= 121

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Step-by-step explanation:

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3 years ago

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2 years ago

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Answer:

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Step-by-step explanation:

We have the following:

Let P: the subset of those 25 who would not go to a park

Let B: the subset of those 27 who would not go to the beach

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The intersection PB of subsets P and B consists of 10 people (i.e. neither a park nor a beach)

The intersection BC of subsets B and C consists of 7 people (i.e. neither beach nor cottage)

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We are also told that the PBC intersection of subsets P, B, and C consists of 4 person (i.e. would not go to a park, beach, or cottage)

The complement of the union of the sets P, B and C for the whole group consists of 6 people (that is, willing to go to the three places)

The formula to apply is as follows:

# (PUBUC) = #A + #B + #C - #AnB - #BnC - #AnC + #AnBnC

Replacing:

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