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marusya05 [52]
2 years ago
15

a particle moves along the x-axis so that anytime t comma measured in seconds it's position is given by...​

Mathematics
1 answer:
Natali5045456 [20]2 years ago
7 0

Given the position function <em>s(t)</em>, you can get the acceleration function by differentiating <em>s</em> twice:

velocity = <em>s'(t)</em> = -5 sin(<em>t </em>) + 3 cos(3<em>t</em> )

acceleration = <em>s''(t)</em> = -5 cos(<em>t</em> ) - 9 sin(3<em>t</em> )

Then when <em>t</em> = <em>π</em>, the particle's acceleration is

<em>s''(π)</em> = -5 cos(<em>π</em>) - 9 sin(3<em>π</em>)

… = -5 • (-1) - 9 • 0 = 5

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Which expression is equivalent to (3x - 4)(4x - 3)?
Ulleksa [173]

Answer:

1\/48 (24 x - 25)^2 - 49\/48

x (12 x - 25) + 12

Step-by-step explanation:

7 0
3 years ago
The director of a state agency believes that the average starting salary for clerical employees in the state is less than $30,00
ss7ja [257]

Answer:

The test statistics is   z = -1  

Step-by-step explanation:

From the question we are told that

   The sample size is  n  =  100

  The null hypothesis  is  H_o : \mu = \$30000

   The alternative hypothesis is  H_a  :  \mu  < \$ 30000

   The sample mean is  \= x  = \$29,750

    The standard deviation is  \sigma  = \$2,500

    The level of significance is  \alpha =0.05

Generally the test statistics is mathematically represented as

        z = \frac{\= x - \mu }{ \frac{ \sigma}{ \sqrt{n} } }

=>      z = \frac{29750 - 30000 }{ \frac{ 2500}{ \sqrt{100} } }

=>      z = -1    

7 0
3 years ago
Thea has a key on her calculator marked $\textcolor{blue}{\bf\circledast}$. If an integer is displayed, pressing the $\textcolor
mel-nik [20]

Answer:

$9$

Step-by-step explanation:

Given: Thea enters a positive integer into her calculator, then squares it, then presses the $\textcolor{blue}{\bf\circledast}$ key, then squares the result, then presses the $\textcolor{blue}{\bf\circledast}$ key again such that the calculator displays final number as $243$.

To find: number that Thea originally entered

Solution:

The final number is $243$.

As previously the $\textcolor{blue}{\bf\circledast}$ key was pressed,

the number before $243$ must be $324$.

As previously the number was squared, so the number before $324$ must be $18$.

As previously the $\textcolor{blue}{\bf\circledast}$ key was pressed,

the number before $18$ must be $81$

As previously the number was squared, so the number before $81$ must be $9$.

6 0
3 years ago
What is the number? I did many ways but i didn't found it, please guys help me with it. ​
Advocard [28]

Answer:

A). 15

B). -1.2

Step-by-step explanation:

A). [10(x+3)]-20 = 160

10x+30-20 = 160

10x+10 = 160

10x = 160-10

10x = 150

x = 150/10

x = 15

B). 5{[4(8+(5x))]-9} = 85

5(32+20x+9) = 85

5(32+9+20x) = 85

5(41+20x) = 85

205+100x = 85

100x = 85-205

100x = -120

100x/100 = -120/100

x = -1.2

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

HOPE THIS HELPS!!!

3 0
3 years ago
The frequency (F) and length (L) of a wave are related by the following formula: F x L = 3.0 x 10^10. Consider that the waveleng
Sphinxa [80]
The correct answer: 2.3 x 10^18
7 0
3 years ago
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