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3 years ago

(15 points)Need help on math homework... here take sum point for helping!

Mathematics

1 answer:

Alex787 [66]3 years ago

4 0

Answer:

7 is y= 0.25p+5

8 is 60t=1350

9 is y=5t+40

10 is y=1 1/4b

Step-by-step explanation:

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The velocity of a particle moving along a line is given by v(t) = e ^ t * sin(e ^ t) the interval 0<= t<= pi 2 . What is t

Butoxors [25]

Answer:

0.44237 units

Step-by-step explanation:

Given

$v(t) = e^t*sin(e^t)$

$0 \le t \le \frac{\pi}{2}$

Required

The distance traveled in this interval

We have:

$v(t) = e^t*sin(e^t)$

The distance is calculated as:

$d(t) = \int\limits^a_b {v(t)} \, dt$

So, we have:

$d(t) = \int\limits^{\frac{\pi}{2}}_0 {e^t*sin(e^t)} \, dt$

Let:

$u = e^t$

Differentiate

$\frac{du}{dt} = e^t$

So:

$dt = e^{-t} du$

So, we have:

$d(t) = \int\limits^{\frac{\pi}{2}}_0 {e^t*sin(e^t)} \, dt$

$d(t) = \int\limits^{\frac{\pi}{2}}_0 {e^t*sin(u)} \, e^{-t} du$

Rewrite as:

$d(t) = \int\limits^{\frac{\pi}{2}}_0 {e^t* e^{-t}*sin(u)} \, du$

$d(t) = \int\limits^{\frac{\pi}{2}}_0 {sin(u)} \, du$

Integrate:

$d(t) = -\cos(u)|\limits^{\frac{\pi}{2}}_0$

Substitute $u = e^t$

$d(t) = -\cos(e^t)|\limits^{\frac{\pi}{2}}_0$

Split

$d(t) = -\cos(e^\frac{\pi}{2}) - [-\cos(e^0)]$

$d(t) = -\cos(e^\frac{\pi}{2}) +\cos(e^0)$

$d(t) = -0.09793 + 0.5403$

$d(t) = 0.44237$

The distance traveled in this interval is: 0.44237 units

dt =

d(t) = \int\limits^2_0 {e^t*sin(e^t)} \, dt

4 0

3 years ago

Choose all the equations that have m =5 as the solution

tatuchka [14]

Answer:

A and E

Step-by-step explanation:

Plug 5 in for m in every equation, and see if the math works.

$m-1=4\\5-1=4\\\\$

A - works

$m+4=20\\5+4=9$

B - does not work

$m-3=8\\5-3=2$

C - does not work

$22+m=25\\22+5=27$

D - does not work

$12=m+7\\12=5+7$

E - works

4 0

3 years ago

Read 2 more answers

Eloise made a list of some multiples of 8/5 write 5 fractions that can be in Eloise list

alexgriva [62]

This question is asking for a list of fractions, that when you pull out common factors, they will all simplify back to the 8/5 fraction.

So if 2 is the common factor, you multiply the numerator and denominator by 2.

2: (8*2)/(5*2)= 16/10

3: (8*3)/5*3)= 24/15

4: (8*4)/(5*4)= 32/20

5: (8*5)/(5*5)= 40/25

10: (8*10)/5*10)= 80/50

Eloise's Potential List:
16/10, 24/15, 32/20, 40/25, 80/50

If you simplify any of these fractions above, you will get 8/5 again.

To work backwards:
80/50: 10 goes into 80, 10 goes into 50= 8/5

16/10: 2 goes into 16, 2 goes into 10= 8/5

Hope this helps! :)

4 0

3 years ago

Can someone pls help? also what would be the equation/formula be to solve this??

lesya [120]

Answer:

2825.4227689325 millimeters2

Step-by-step explanation:

sorry if wrong!

3 0

3 years ago

What is the answer 7/10x-1/5=4

Marta_Voda [28]

<span>7/10x-1/5=4 should be written as (7/10)x - 1/5 + 4

or as 7x/10 - 1/5 = 4.

Multiply all 3 terms of the latter equation by 10 to eliminate fractions:

7x - 2 = 40

Then 7x =42, and x = 6.</span>

8 0

3 years ago