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PolarNik [594]
3 years ago
15

What is the average acceleration of a southbound train that slows down from 15 m/s to 8.6 m/s in 1.2 s?

Mathematics
1 answer:
horrorfan [7]3 years ago
5 0

Answer:

The average acceleration of train is 5.34\ m/s^2

Step-by-step explanation:

We have,

A train that slows down from 15 m/s to 8.6 m/s in 1.2 s. It means that 15 m/s is its initial velocity and 8.6 m/s is its final velocity.

It is required to find the average acceleration of the train.

a=\dfrac{v-u}{t}\\\\a=\dfrac{(8.6-15)\ m/s}{1.2\ s}\\\\a=-5.34\ m/s^2

The average acceleration of train is 5.34\ m/s^2.  Negative signs shows that the train is decelerating.

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Stephanie can type around 70 words per minute. She has less than a week to type her final research paper. If the paper has to be
Lana71 [14]
The answer is 1.25 hours.

STEP 1.
Each page has about 350 words:    1 page - 350 words
15 pages is x words:                         15 pages - x words
1 : 350 = 15 : x
x = 15 * 350 : 1 = 5250

So, she has to type at least 5250 words.

STEP 2:
<span>Stephanie can type around 70 words per minute:     70 words - 1 minute
x words in 1 hour = 60 minute:                                        x words - 60 minute

70 : 1 = x : 60
x = 70 * 60 : 1 = 4200

So, she types around 4200 words per hour.


STEP 3:
Now we have:
</span>- she has to type at least 5250 words
- she types around 4200 words per hour

5250 : x = 4200 : 1
x = 5250 * 1 : 4200 = 1.25 hours
6 0
3 years ago
The manager of a dress shop recorded the number of dresses sold during the week the data is as follows
Rashid [163]
2.6925 is the mean/ avg you add all the numbers and divide by the amount of numbers you added
5 0
3 years ago
Round of 1,546 to the<br> nearest thousands
EleoNora [17]

Answer:

1,546 ≈ 2,000

Hope this helps :)

1. To round to nearest thousands, first look at the hundreds place if the number is 1,2,3,4 then round down. If the number is 5,6,7,8,9 then round up.

4 0
1 year ago
Fabulous fitness charges a one time fee of $90 and an additional $25 per month wonder weights charges a one time fee of only $ 2
Aleksandr-060686 [28]

Answer:

9 months

Step-by-step explanation:

Given

Fabulous fitness charges a one-time fee of $90 and an additional $25 per month

let the number of months be x

and the total charges be y

y= 25x+90---------1

Wonder weights charges a one-time fee of only $ 27 dollars but charge an additional $32 each month

let the number of months be x

and the total charges be y

y= 32x+27------------2

Required

The value of x, that is the number of months

Step two:

Equating both equations we have

25x+90=32x+27

collect like terms

25x-32x=27-90

-7x=-63

7x=63

divide both sides by  7

x= 63/7

x= 9 months

6 0
2 years ago
Apply the zero matirx:<br> [16 -24] + [ 0 0 ]=[ x y]<br> X=? Y=?
Ainat [17]

Answer:

x = 16

y = -24

Step-by-step explanation:

Recall that the addition of matrices is done when matrices are of the same dimension. In this case, you are in fact adding matrices of the same dimension (dimension 1x2). Recall as well that in the addition of matrices, the elements of each matrix combine only with the element located in the exact same position in the other matrix.

So for this case the first element of the first matrix "16" combines with the first element of the second matrix "0" resulting in an element of value16 + 0 =16 in the new matrix.

Equally, the second element of the first matrix "-24" combines with the second element of the second matrix, resulting in : -24 + 0 = -24.

Therefore, the matrix resultant from this addition is: [16   -24] (same form of the first matrix, which indicates that adding a zero matrix to an existing matrix will not change the first matrix.

5 0
2 years ago
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