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arlik [135]
3 years ago
14

Make v the subject of the relation KE = ½mv²

Mathematics
2 answers:
VladimirAG [237]3 years ago
8 0

Answer:

v=√(2KE/m)

Step-by-step explanation:

KE=1/2mv^2

2KE=mv^2

(2KE)/m=v^2

sqrt[(2KE)/m]=v

v=√(2KE/m)

Irina18 [472]3 years ago
7 0

Answer:

v=\sqrt{\frac{2KE}{m} }

Step-by-step explanation:

KE = 1/2mv^2

KE/1/2=mv^2

2KE=mv^2

2KE/m=v^2

\sqrt{2KE/m} =v

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Find the coordinates of the midpoint of CD if C(-2, 6) and (7, -1)
d1i1m1o1n [39]

Answer:

(2.5, 2.5)

Step-by-step explanation:

Coordinates of midpoint

=  \bigg(  \frac{ - 2 + 7}{2}, \:  \:  \frac{6 - 1}{2}  \bigg) \\  \\  =  \bigg(  \frac{5}{2}, \:  \:  \frac{5}{2}  \bigg) \\  \\  = ( 2.5, \:  \:  2.5  )

8 0
3 years ago
Consider this expression
Sloan [31]

Answer:

\displaystyle \large{(x + 9)(x - 8)}

The value of a is 9 and b is -8

Step-by-step explanation:

\displaystyle  \large{(x + a)(x  + b) =  {x}^{2}  + (a + b)x + ab}

We need to find two numbers that add up or subtract off to 1.

Then we also use the same two numbers that multiply and get -72.

Let's see:-

  • 9 and -8 seem like correct values.

Because 9+(-8) is 9-8 = 1

And 9(-8) is -72.

Therefore:

\displaystyle \large{ {x}^{2}  + x - 72 = (x + 9)(x - 8)}

The value of a is 9 and the value of b is -8 according to form of (x+a)(x+b)

8 0
3 years ago
Read 2 more answers
the brain volumes ​(​) of 50 brains vary from a low of to a high of . use the range rule of thumb to estimate the standard devia
Sloan [31]

The estimated standard deviation from the range rule is 145.5 cm3.As it is 29.8 cm3 smaller than the exact standard deviation, we consider that the estimation is not accurate enough.

Generally, brain volumes which are smaller than 921.1 cm3 can be considered significantly low and bigger than 1417.5 cm3 can be considered significantly high. Hence, brain volume of 1457.5 cm3 is bigger than the expected maximum, so it can be considered significantly high.

The calculation goes like this,

According to the range rule, the standard deviation and range, or the distance between the maximum and smallest value, are roughly inversely proportional:

s=R/4

If we have a sample of 50 brains volumes, and they range from 910 cm3 to 1492 cm3, we can estimate the standard deviation as:

s=max-min/4

s=1492-910/4=582/4=145.5

The exact standard deviation is 175.3 cm3.The difference is 175.3-145.5=29.8 cm3, so the estimation is not accurate enough.

The range rule of thumb states that we should anticipate a maximum value that is approximately two standard deviations above the mean and a lowest value that is approximately two standard deviations below the mean. The expected ranges are as follows given our mean volume of 1169.3 cm3 and standard deviation of 124.1 cm3:

Min= M-2s=1169.3-2*124.1=921.1

Max=M+2s=1169.3+2*124.1=1417.5

The brain capacity of 1457.5 cm3 can be regarded as significantly high because it is higher than the predicted maximum.

To know about standard deviation click here :

brainly.com/question/23907081

#SPJ4

5 0
1 year ago
Which is the function rule that will transform a geometric figure by reflecting across the y-axis and
likoan [24]
I think it’s between the first and third one
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2 years ago
What do the following two equations represent?
noname [10]
The same line! hope this helps! i’m not 100% sure so if i’m wrong don’t flame me
3 0
3 years ago
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