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Anastasy [175]
3 years ago
15

Solve k = 1/ 2 mv2 for m

Mathematics
1 answer:
WINSTONCH [101]3 years ago
6 0

k = 1/ 2 mv^2 for m

multiply by 2

2k = m v^2

divide by v^2

(2k)/v^2 =m

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Bradley Is driving to college to move into the dorms for his freshman year.The university he is attending is 107 miles away from
ohaa [14]

Answer:

He has 42 more minutes to drive and 44 miles to cover to arrive at the university

Step-by-step explanation:

If he drives 63 miles in 1 hr

he would drive 107 miles in

107/ 63 = 1.7 hours

to convert 0.7 to time, multiply by 60 = 42 minutes

his total travel time is 1 hr 42 minutes

He has 42 more minutes to drive and 44 miles to drive

7 0
3 years ago
Identify the lower class​ limits, upper class​ limits, class​ width, class​ midpoints, and class boundaries for the given freque
bezimeni [28]

Answer:

See explanation and results below.

Step-by-step explanation:

We have the following data:

Age​ (yr) when award was won Frequency 25​-34 31 35​-44 36 45​-54 12 55​-64 4 65​-74 6 75​-84 1 85​-94 2

If we order the data we got the following result. We assume that the midpoint is given by:

Midpoint= \frac{L.Limit +U.Limit}{2}

The Class.Width = U.Limit-L.Limit

And the limits are given by the lower and upper limit.

L.Limit  U.Limit Class W  Midpoint  Frequency   Limits

  25         34     34-25=9     29.5           31           [25-34]                

  35         44      44-35=9     39.5          36           [35-44]

  45         54      54-45=9     49.5           12           [45-54]

  55         64      64-55=9     59.5           4            [55-64]

  65         74       74-65=9     69.5           6            [65-74]

  75          84      84-75=9     79.5            1            [75-84]

  85          94      94-85=9     89.5           2           [85-94]

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Find the number of terms, n, of the arithmetic series given a1=11, an=95, and Sn=689.
borishaifa [10]

Answer:

13

Step-by-step explanation:

Its calculate the common difference first.

(95-11)/(n-1).

We also have the sum of these n terms is 689.

So we have the following:

11

+(11+(95-11)/(n-1))

+(11+2(95-11)/(n-1))

+...

+(11+(n-1)(95-11)/(n-1))

This can be re-expressed alittle:

There are (n) amount of 11's in the addition... also 1+2+3+...+(n-1)=(n-1)(n)/2.

So we have the sum is

11(n)+n(n-1)/2×(95-11)/(n-1)

But this equal to 689.

We need to solve the following equation: ​

11(n)+n(n-1)/2×(95-11)/(n-1)=689

The (n-1)'s in second term can cancel.

11(n)+n/2×84=689

11n+42n=689

53n=689

53n=689

n=689/53

n=13

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