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PolarNik [594]
3 years ago
11

Use Einstein’s energy equation to solve the following problem. Recall that the speed of light is 3 × 108 m/s. If a 5.0-kg stone

is completely converted to energy, what is its energy equivalent in joules? 4.5 × 10^17 J 1.5 × 10^10 J 1.5 × 10^9 J 4.5 × 10^15 J
Mathematics
1 answer:
mylen [45]3 years ago
4 0
The kinetic energy is calculated through the equation,
                                    KE = mc²
where KE is kinetic energy, m is mass, and c is the masses. Substituting the known values,
                                   KE = (5 kg)(3 x 10^8)²
                                       KE = 4.5 x 10^17 J
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HELP! last one of the day!
quester [9]
The bisector of the angle at A (call it AQ) divides the segment BC into segments BQ:QC having the ratio AB:AC. Use this fact to find x.

.. 9:15 = (2x -1):3x
.. 15(2x -1) = 9*3x . . . . . the product of the means equals the product of extremes
.. 30x -15 = 27x
.. 3x = 15
.. x = 5

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According to the value of x, the bisector AQ divides the triangle into two isosceles triangles: ABQ, ACQ.
7 0
3 years ago
9.05 as an improper fraction
EleoNora [17]

Answer:

181/20

Step-by-step explanation:

9.05=9 5/100 = 9 1/20

9*20+1=180+1=181

181/20

4 0
3 years ago
Read 2 more answers
(c) Find the number of sets where all three cards are the same for exactly $0$ attributes. (d) Find the number of sets where all
Cloud [144]

C. For the first card, there are three ways to choose the number of card.

For the another, there two options, and likewise there's only 1 choice of card. So there are 3 × 2 × 1 = 6 ways that the calculation can be chosen.

Doing this for the other attributes, we get 6 × 6 × 24 × 6 ways. But the order of cards does not count in a set of card, so we divide by 3! 6 * 6 * 24 × 6 ÷ 3! = 864. It means there are 864 sets for part.

D. The cards may have the same number, color, shapess, orshading.

However, also there are 6 × 24 × 6 × 3! = 144 sets of cards, If all the colors are thesame. How ever, also there are 144 sets of cards.

If all the calculation are the same. We get the same number for shape and shadings, so there are 4 × 144 = 576 sets of cards.

what is Probability?

Probability is branches of mathematics concerning numerical descriptions of how to the likely an event is to occurs, or how to the likely it is that a proposition is true. The probability of an event is a numbers between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the events and 1 indicates certain of cards.

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5 0
2 years ago
A rectangle measures 15 1/4 feet by 8 11/15 feet. If the length and width are extended by 1 2/3 Feet each find the area of the n
zubka84 [21]

Answer:

New area is 175 42/45 feet ²

Step-by-step explanation:

Given data

Length l= 15 1/4

To proper fraction = 61/4 feet

Width w= 8 11/15

To proper fraction = 131/15 feet

Extention = 1 2/3

To proper fraction = 5/3

Dimensions of new rectangle

Length =61/4+5/3 = 183+20/12

LCM = 12 = 203/12

Width = 131/15+5/3= 131+25/15

LCM = 15 = 156/15

Area = 203/12*156/15= =31668/180

=31668/180

= 7917/45

= 175 42/45 feet ²

6 0
3 years ago
The function f determines the cost (in dollars) of a new Honda Accord in terms of the number of years t since 2000. That is, f (
xenn [34]

Complete  Question

The function f determines the cost (in dollars) of a new Honda Accord in terms of the number of years t since 2000. That is, f ( t ) represents the cost (in dollars) of a new Honda Accord t years after 2000. Use function notation to represent each of the following. The cost (in dollars) of a new Accord in 2006?

A. How much more a new Accord costs in 2013 as compared to the cost of a new Accord in 2010?

B. A new Accord in 2013 is how many times as expensive as a new Accord in 2010?

C. In  2016 , some cars cost  $980 more than the cost of a new Accord.How much does the other cars cost (in dollars)in 2016?

Answer:

a

     The cost of  a new Accord in 2013 compared to 2010 is  z  =  f(13) -  f(10)

b

   The magnitude at which the cost of   a new Accord in 2013 is greater          than the cost in 2010 is  

          x =  \frac{f(13)}{f(10)}

c

    The cost of the other cars is 2016 is   r  =  980 + f(16)

Step-by-step explanation:

From the question we are told that

     The cost (in dollars) of a new Honda Accord is  f(t)

       Where t is  number of years after 2000

The cost of the  Honda Accord at 2013 is  

        f(2013 - 2000) =  f(13)

The cost of the  Honda Accord at 2010 is  

        f(2010 - 2000) =  f(10)

So the cost difference between 2013 and 2010 is mathematically evaluated as

         z  =  f(13) -  f(10)

Let constant at which the cost of Honda Accord in 2013 is greater than its cost at 2010 be  x

So

      f(13) =  x f(10)

=>      x =  \frac{f(13)}{f(10)}

  The cost of the Honda Accord in 2016 is mathematically evaluated as

          f(2016 - 2000) =   f(16)    

Now the cost of these other cars is  mathematically evaluated as  

         r  =  980 + f(16)

7 0
3 years ago
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