Acar 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 miles/hour to m/s). if the car increases its speed to 70 miles/hour, by what factor does its kinetic energy increase? show work

Factor by which kinetic energy increase = 4 times

Step-by-step explanation:

Given,

                               = 15.64 m/s

Initial kinetic energy of the car is given by,

       = 183606.46 J

                                      = 31.29 m/s

So, final kinetic energy of car is given by

        = 734425.84 J

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

Hence, the kinetic energy will increase by 4 times.

x> 6

step-by-step explanation:

8x+8> 7x+14

8x-7x> 14-8

x> 6

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.