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Physics I help (answer)

Newton's law of gravitation states that the force between two bodies is given by the expression   F = (G m1m2 )÷r2   So if the radius of the earth doubles, it results in the force depleting by a factor of 4, 150 N.   If the radius of the earth halves,...

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Let x = penny rolls   dime rolls = 4/5 X   quarter rolls = 3/10 dime rolls = (3/10)(4/5) X = 15   Now you can backout X as   X = 15 (5/4)(10/3) = 750/12 = 62 1/2 penny rolls (is half a roll allowed?)   But the answer checks out....

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You can use proportion to figure this out as the sample is large compared to the population (105 vs 525).   Red = (21÷105) x 525 = 105   I chose Red so that it divides nicely.  You can complete the problem for following the proportion for the other colors.

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Area would be length x width   (8 x 25) (3 x 25) = 24 x 625 = 15000 sq. ft   Problem 2:   The actual distance is 2.25 x (32/2) = 2.25 x 16 = 36 miles.   Happy studying.

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floor plan (answer)

Scaling can be computed by converting the units according to the ratio.     Here 6 cm refers to 15 ft.  Therefore, 1 cm would represent   15/6 = 2.5 ft; So your answer is A.

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A-1=1/1 [1 4]             [1 5]   For two x two matrix, swap the diagonal elements and reverse the sign of the other two elements.  Divide each element of the inverse by the determinant of the original matrix.    

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The gain in kinetic energy is due to the work done by gravity (also can be thought of as loss in potential energy).   Work = (mg)(Δh) = 0.17 (9.8) (14) = 23.324 N

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Work done is F.X where F is the force in the direction of displacement, X   W = 155 (4.5) = 697.5 N.m = 697.5 J

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v = 70 (1000 m/km)/(3600 s/h) = 19.44 m/s   K.E = 1/2 m v2 = 1/2 (950) (19.44)2 = W done   =179,509 J   From conservation of energy, Work done is equal to the loss in kinetic energy as there is no change in potential energy

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The problem can be set up as follows   X >5 is the constraint   For every $1 drop in price, the number sold increases by 30.  Increase in sales is 30X   So the money realized is (225 + 30X)(10 - X) and X is chosen where this revenue is maximum   Here...

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