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Harman [31]
3 years ago
15

P and q are points on the line 3y - 4x = 12

Mathematics
1 answer:
labwork [276]3 years ago
4 0

                                                    ??????????????????????????????????????????????????????????????????

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guapka [62]
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4 0
3 years ago
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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
The drama club spent $35 on decorations and $8.50 per person on food for a cast party. The total cost of the food
jenyasd209 [6]

Answer:

Option C) 27 people

Step-by-step explanation:

Let

x ----> the number of people

we know that

The cost of decorations ($35) plus the number of people (x) multiplied by the cost per person on food ($8.50) must be equal to $264.50

so

The linear equation that represent this situation is

35+8.50x=264.50

solve for x

Subtract 35 both sides

8.50x=264.50-35

8.50x=229.50

Divide by 8.50 both sides

x=229.50/8.50

x=27\ people

5 0
3 years ago
What can i do to inprove my math skills
myrzilka [38]

Answer:

Practice, study, get involved in school activities involving math, don’t get too stressed out when it doesn't work, and always try again.

7 0
3 years ago
Read 2 more answers
Select all the expressions that are equivalent to 4x + 8
RoseWind [281]

Answer:

2(2x+4)  4(x+2)  2(2x)+2(4)

Step-by-step explanation:

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3 years ago
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