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mojhsa [17]
3 years ago
5

Find the sum or difference of -12 1/2 + 4 1/2​

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

Step-by-step explanation:

sum:

- 12 \frac{1}{2}  + 4 \frac{1}{2} =  - 8

difference:

- 12 \frac{1}{2}  - 4 \frac{1}{2}  =  - 17

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The function a(t)=t^(1/2)−t^(−1/2) m/s^2 represents the acceleration of a particle moving along a horizontal axis. At time t=0,
garri49 [273]

Answer:

see below

Step-by-step explanation:

a(t)=t^(1/2)−t^(−1/2)

We integrate to find the velocity

v(t) = integral t^(1/2)−t^(−1/2) dt

     = t ^ (1/2 +1)         t ^ (-1/2 +1)

          ------------   -    -----------------  + c  where c is the constant of integration

              3/2                   1/2

v(t) = 2/3 t^ 3/2  - 2 t^ 1/2 +c

We find c by letting t=0 since we know the velocity is 4/3 when t=0

v(0) = 2/3 0^ 3/2  - 2 0^ 1/2 +c = 4/3

       0+c =4/3

       c = 4/3

v(t) = 2/3 t^ 3/2  - 2 t^ 1/2 +4/3

To find the position function we need to integrate the velocity

p(t) = integral 2/3 t^ 3/2  - 2 t^ 1/2 +4/3 dt

     2/3 t ^ (3/2 +1)        2 t ^ (1/2 +1)           4/3t

          ------------   -    -----------------  + ------------- + c  

              5/2                   3/2                    1

p(t) =  4/15 t^ 5/2 - 4/3t ^ 3/2 + 4/3t +c

We find c by letting t=0 since we know the position is -4/15 when t=0

p(0) =  4/15 0^ 5/2 - 4/3 0 ^ 3/2 + 4/3*0 +c = -4/15

         0 +c = -4/15

            c = -4/15

p(t) =  4/15 t^ 5/2 - 4/3t ^ 3/2 + 4/3t -4/15

8 0
3 years ago
Read 2 more answers
If 24, x, and 6 form the first three terms of an arithmetic sequence
AveGali [126]
<h3>Answer:  15</h3>

===============================================

Work Shown:

d = common difference

p = first term = 24

q = second term = a+d = 24+d

r = third term = q+d = 24+d+d = 24+2d = 6

------------

Solve for d

24+2d = 6

2d = 6-24

2d = -18

d = -18/2

d = -9

We add -9 to each term to get the next term. This is the same as subtracting 9 from each term to get the next term.

------------

First term = 24

Second term = 24-9 = 15

Third term = 15-9 = 6

We get the sequence 24, 15, 6

7 0
3 years ago
Brandon has a stack of books on his desk. The first book has 10 pages. The second book has twice as many pages. The third book h
Svetach [21]

Answer:

1280 pages

Step-by-step explanation:

You simply continue the pattern

40 × 2

80 × 2

160 × 2

320 × 2

640 × 2

= 1280

6 0
3 years ago
A) y=1.1x+23<br> B) y=1.25x+20<br> C) y=1.25+40.67<br> D)y+1.4+40.67
Lunna [17]

Answer:

I believe C is the correct answer because the graph starts above 40 on y axis and D is incorrect because of the y + not y=

7 0
3 years ago
Solve &amp; Explain your Math thinking 12-7
Tom [10]

For this case we have the following subtraction:

12-7

We can rewrite the subtraction in an easier way.

We have then:

12-7 = 12 - (5 + 2)

Then, by doing associative property we have:

12 - (5 + 2) = (12-2) - 5\\(12-2) - 5 = 10 - 5\\10 - 5 = 5

Answer:

The value of the subtraction is given by:

12-7 = 5

4 0
3 years ago
Read 2 more answers
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