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Serjik [45]
3 years ago
11

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

Mathematics
1 answer:
earnstyle [38]3 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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* A Frog sits on a number line at point −10. It is allowed to make up to 4 jumps. First, it can make a jump of 8 units in either
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Answer and explanation:

Assuming the frog jumps from -10 for all jumps, if the frog decides to make all 4 jumps then :

8 units jump= -2 or -18

4 units jump= -6 or -14

2 units jump= -8 or -12

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If the frog decides to make one jump then skip the others then:

Either it makes 8 units jump= -2 or -18

Or 4 units jump= -6 or -14

Or 2 units jump= -8 or -12

Or 1 unit jump = -9 or -11

If it decides to make 2 jumps and skip the others then:

Either it makes 8 units jump= -2 or -18

and 4 units jump= -6 or -14

Or 2 units jump= -8 or -12

and 1 unit jump = -9 or -11

Or any other mix of units of jump twice

If it decides to make 3 jumps and skip the others then:

Either it makes 8 units jump= -2 or -18

and 4 units jump= -6 or -14

and 2 units jump= -8 or -12

Or 1 unit jump = -9 or -11

and 4 units jump= -6 or -14

and 2 units jump= -8 or -12

Or any other mix of 3 jumps

If it decides to make no jump at all then the frog would remain at -10

8 0
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