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bogdanovich [222]
3 years ago
14

3x > -3 Thanks very much

Mathematics
1 answer:
OverLord2011 [107]3 years ago
8 0

Answer:

<u><em>Answer is below</em></u>

Step-by-step explanation:

<u><em> Divide both sides by 3.</em></u>

\frac{3x}{3}>\frac{-3}{3} \\x>-1

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The equation of motion for a weight suspended from a particular spring is given by p(t)=2sint3+5cost3p(t)=2sin⁡t3+5cos⁡t3, where
daser333 [38]
The given displacement at time, t, is
p(t) = 2 sin(t³) + 5 cos(t³)

The initial equilibrium position is
p(0) = 5

To determine future equilibrium postions, define
f(t) = p(t) - 5 = 2 sin(t³) + 5 cos(t³ - 5
The derivative of f(t) is
f'(t) = (3t²)[2 cos(t³) - 5sin(t³)]

Equilibrium is established when f(t) = 0.
To solve this equation numerically, we shall use the Newton-Raphson method, given by.
t(n+1) = t(n) - f[t(n)]/f'[(t(n)], n=0,1,2, ...,

As a guess, let (0) = 1.
The iterative solution for t is shown below.

  n         t(n)
 ---   -----------
   0   1.0000
   1    0.9344
   2   0.9147
   3   0.9130
   4   0.9130

The solution converges rapidly to t = 0.913 s.
The graphical solution (shown below) confirms the numerical solution.

Answer:
The weight first reaches the equilibrium position in 0.913 sec.

4 0
3 years ago
If it takes a leopard to run 500 yards in 1/2 a min how how many miles could it run in 2 hours​
qaws [65]

Answer:120000

Step-by-step explanation:

bc in a minute their is 60 seconds and if the leoperd runs 500 yards every 30 seconds u would multiply 60 times 2 bc their is 60 min in a hour and u would get 120.then u would multiply that by 2 getting u 240 which is two hours then u would do 500 times 240

6 0
3 years ago
What fraction is greater 1/4 or 3/8
Naya [18.7K]

Answer:

1/4 < 3/8

Step-by-step explanation:

We need to get a common denominator to compare.  We will use a common denominator of 8

1/4 *2/2    or 3/8

2/8 or 3/8

since the denominators are the same

2<3

so 1/4 < 3/8

3 0
3 years ago
Read 2 more answers
What is the equation of the line passing through the points (3,6) and (2,10)
andrezito [222]

Answer: y= - 4x+18

Step-by-step explanation:

Equation: y=mx+b

***remember: b is the y-intercept and m is the slope.

m=\frac{y2-y1}{x2-x1}

3= x1

2= x2

6= y1

10=y2

m=\frac{10-6}{2-3}= \frac{4}{1}= -4

m=-4

Now we have y=-4x+b , so let's find b.

You can use either (x,y) such as (3,6) or (2,10) point you want..the answer will be the same:

   (3,6). y=mx+b or 6=-4 × 3+b, or solving for b: b=6-(-4)(3). b=18.

   (2,10). y=mx+b or 10=-4 × 2+b, or solving for b: b=10-(-4)(2). b=18.

Equation of the line: y=-4x+18

3 0
3 years ago
If EM=11, AM=16, and CF=27, what are the lengths of the following sides?
tensa zangetsu [6.8K]

Answer:

18

Step-by-step explanation:

4 0
3 years ago
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