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romanna [79]
3 years ago
13

A particle moves along a straight line with equation of motion s = f(t), where s is measured in meters and t in seconds. Find th

e velocity and speed when t = 3.
f(t) = (t ^-1) - t
Mathematics
1 answer:
Lena [83]3 years ago
8 0
F(t) = (t^-1) - t 
Taking derivative:
<span>f'(t) = d/dt(t^-1) - t) = d/dt(t^-1) - d/dt(t) </span>
<span>f'(t) = -1(t^-2) -1
= -t^-2 - 1 </span>
<span>f'(t) = v(t),
It can be also written as : 
-1/t^2 - 1 </span>

<span>So v(3) = -1/(3^2) - 1 = -1/9 - 1 = -10/9</span>
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Solve 9,159 divided by 7
aniked [119]

Answer:

(9159 / 7 = 1308.429)

Step-by-step explanation:

Simply multiply the last digit by 2 and then subtract the product from the remaining digits.

If that difference is divisible by 7, then 9159 is divisible by 7.

The last digit in 9159 is 9 and the remaining digits are 915. Thus, the math to determine if 9159 is divisible by 7 using our alternate method is:

915 - (9 x 2) = 897

Since 897 is not divisible by 7, 9159 is also not divisible by 7.

Therefore, the answer to "Is 9159 Divisible By 7?" is no.

(9159 / 7 = 1308.429)

5 0
2 years ago
Read 2 more answers
Two cars are traveling down the highway with the same speed. If the first car increases its speed by 1km/hr, and the other car d
Olegator [25]

Answer:

The speed of the cars is 32 \frac{km}{h}

Step-by-step explanation:

First we must first have the clear concept that speed=\frac{distance}{time} or s=\frac{d}{t}

Our question is the speed of the cars then the variable to clear will be s.

Let's raise the equation for each car taking into account that we have the following data:

Car 1: s_{1}=s+1 , t_{1}=2 and d_{1}= d_{2}

Car 1: s_{2}=s-10 , t_{2}=3 and d_{1}= d_{2}

The two cars travel the same distance so we will raise the distance formula for each car and then match them.

<em>Car 1</em>

d_{1}=s_{1}*t_{1}

d_{1}=(s+1)*2

d_{1}=2s+2

<em>Car 2</em>

d_{2}=s_{2}*t_{2}

d_{2}=(s-10)*3

d_{2}=3s.30

d_{1}=d_{2}

2s+2=3s-30

2+30=3s-2s

32=s

The speed of the cars is 32 km/hr

7 0
3 years ago
The cash price of a television is $580.
Drupady [299]

Answer:

n=25% or 0.25

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865= 580(n%)+ 6(120)

865= 580 (n%) +720

865-720= 145

145= 580(n%)

divide both by 580, you get 0.25=n%

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Answer:

7, I believe. I have to fill in the extra character space, so I hope you have a nice day :)

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2 years ago
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11Alexandr11 [23.1K]

5 + x = 14 is the answer                

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