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iren [92.7K]
3 years ago
13

Identity the property or rule of 96 13 13 96

Mathematics
1 answer:
irga5000 [103]3 years ago
4 0

Given :96 13 13 96 .

Sings of operations are not visible in the given problem.

Let us take multiplication sign × first and then we will take plus sign.

Let us take  multiplication sign × first.

96 × 13 = 13 × 96.

The number 96 and 13 just changed their positions.

Also, on changing those positions, the values of product doesn't change.

So, we can see that a*b=b*a property is being applied there.

a*b=b*a represents Commutative Property of Multiplication.

Therefore, 96 × 13 = 13 × 96 represents Commutative Property of Multiplication.

If we take plug sign in between, we would have expression

96+13 = 13+96.

Still on changing positions of numbers the values of sum remain same.

So, we can apply property represented by a+b=b+a.

And that is Commutative Property of Addition.

Therefore, 96+13 = 13+96 also represents Commutative Property of Addition.

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What is the rule of function? (0,0),(1,4),(2,16),(3,36)
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3 years ago
A car has mass 1500 kg and is traveling at a speed of 35 miles/hour. what is its kinetic energy in joules? (Be sure to convert m
photoshop1234 [79]

Answer:

Factor by which kinetic energy increase = 4 times

Step-by-step explanation:

Given,

  • Mass of the car, v1 = 1500 kg
  • initial speed of car = 35 miles/h

                               =\dfrac{35\times 1609.34}{3600}\ m/s

                               = 15.64 m/s

Initial kinetic energy of the car is given by,

k_1\ =\ \dfrac{1}{2}.m.v_1^2

       =\ \dfrac{1}{2}\times 1500\times (15.64)^2\ joule

       = 183606.46 J

  • Final velocity of car v2 = 70 miles/hour

                                      =\dfrac{70\times 1609.34}{3600}

                                      = 31.29 m/s

So, final kinetic energy of car is given by

k_2\ =\ \dfrac{1}{2}.m.v_2^2

        =\ \dfrac{1}{2}\times 1500\times (31.29)^2

        = 734425.84 J

Now, the ratio of final to initial kinetic energy can be given by,

\dfrac{k_2}{k_1}=\ \dfrac{734425.84}{183606.46}

=>\ k_2\ =\ 4k_1                      

Hence, the kinetic energy will increase by 4 times.

7 0
3 years ago
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