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emmainna [20.7K]
3 years ago
5

What is the kinetic energy of a 50 kg dog running towards a ball with a velocity of 6 meters per second?

Mathematics
1 answer:
irga5000 [103]3 years ago
6 0

K.E. = 1/2 mv²

K.E. = 1/2* 50*(6)²

K.E. = 25*36 = 900 Joules

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Some scientists say, happiness, when measured on a scale of 0 (super unhappy) to 100 (super happy), is a function of the number
ololo11 [35]

Answer:

f(x) = 60-2x

Step-by-step explanation:

Suppose that f(x) = y is a happiness function. It is a function of the number of hours you spend on Instagram per day. That means that the output of the function will be a "happiness score",i.e. the value between 0 and 100, and the variable <em>x </em>will be an output value, the hours spent on Instagram daily.

We know that if we spend 0 hours on Instagram per day the happiness score will be 60, which means that:

f(0) = 60

If we spend 1 hour per day on Instagram our level of happiness will be decreased by 2, i.e. 60-2 = 58. Therefore,

f(1) = 58

If we spend 2 hours on Instagram per day our level of happiness will be decreased even more, i.e. 58-2 = 56. Therefore,

f(2) = 56

Notice that 56 = 60-4 = 60-2*2

If we spend 3 hours on Instagram per day our level of happiness will be decreased even more, i.e. 56-2 = 54. Therefore,

f(3) = 54

Notice that 54 = 60-6 = 60-3*2

Now we can see the pattern from which the level of happiness can be calculated. It is 60 decreased by the number of hours multiplied by 2.

Hence, the "happiness function" is:

f(x) = 60-x*2 = 60-2x, where x is a number of hours spent on Instagram.

7 0
3 years ago
Verify the identity:<br><br> cos(a+B)/cos a sin B = cot B -tan a
alexgriva [62]
Cos( A + B ) = cosAcosB - sinAsinB ;
cos( A + B ) / ( cosAsinB ) = ( cosAcosB - sinAsinB ) / ( cosAsinB ) = ( cosAcosB ) / ( cosAsinB ) - ( sinAsinB ) / ( cosAsinB ) = cosB / sinB - sinA / cosA = cotB - tanA ;
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4 years ago
Erika worked 14 hours last week and 20 hours this week. If she earns $9 per hour, how much did she earn during these two weeks?
romanna [79]
Total number of hours=14+20=34
34x9=$306
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3 years ago
Read 2 more answers
Need help asap pls!!!
lisabon 2012 [21]

Answer:

16

Step-by-step explanation:

According to the given description, PS is the mid segment of the \triangle TQR

Therefore by Mid-segment Theorem:

PS = \frac{1}{2}  QR \\  \\ PS = \frac{1}{2}   \times 32 \\  \\ PS =16 \:

3 0
3 years ago
If f(x)=2x-4 find f(q+1)
musickatia [10]
Is there any other information given on this?

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