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Sever21 [200]
3 years ago
12

The equation of motion of a block with mass m = 8 kg. attached to a spring whose spring Constant is k = 2 and which starts from

rest at a point 3 cm above equilibrium is 8x ′′ + 2x = 0; x(0) = 3, x ′ (0) = 0.A. True.B. False.
Mathematics
1 answer:
Annette [7]3 years ago
5 0

Answer:

FALSE

Step-by-step explanation:

In order to be consistent with the system of unit we should decide if we are going to work with the CGS system <em>(centimeter-gram-second)</em> or the MKS system <em>(meter-kilogram-second). </em>

If we decide to work with the CGS system, the equation of motion would be

8,000x ′′ + 2x = 0; x(0) = 3, x ′ (0) = 0

since 1 Kg = 1,000 g

If we decide to work with the MKS system, the equation of motion would be

8x ′′ + 2x = 0; x(0) = 0.03, x ′ (0) = 0

given that 1 mt = 100 cm

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Find an input that yields an output of 214. rule: y= -15x+79
Dafna1 [17]

Answer:

          The input  have to be -9 to get output 214 with the rule y=-15x+79

Step-by-step explanation:

x is the input, y is the output so:

214 = -15x + 79

214 - 79 = -15x

15x = -135

 x = -9

6 0
3 years ago
Read 2 more answers
How much time will Alex need to walk to his school, which is 2 1/4 miles away from his house, if he would walk with the speed of
mojhsa [17]
It would take him 30 mins
4 0
2 years ago
Community college students conduct a survey at their college. They ask "Do you plan to transfer to a university to pursue a bacc
Tamiku [17]

Answer:

0.8 - 2.58\sqrt{\frac{0.8(1-0.8)}{100}}=0.697

0.8 + 2.58\sqrt{\frac{0.8(1-0.8)}{100}}=0.903

The 99% confidence interval would be given by (0.697;0.903)

And the best option is : 0.697 to 0.903

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

Solution to the problem

For this case the conditions we have the conditions to assume a normal distribution for the population proportion since:

np=100*0.8=80 >10 , n(1-p) = 10*(1-0.8) =20 >10

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.005. And the critical value would be given by:

z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58

The confidence interval for the mean is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

The estimated proportion is given by \hat p =\frac{80}{100} =0.8. If we replace the values obtained we got:

0.8 - 2.58\sqrt{\frac{0.8(1-0.8)}{100}}=0.697

0.8 + 2.58\sqrt{\frac{0.8(1-0.8)}{100}}=0.903

The 99% confidence interval would be given by (0.697;0.903)

And the best option is : 0.697 to 0.903

6 0
2 years ago
If f(x) = x+4 and g(x) = 3х - 5, thеn what is f(x) - g(x)?
grin007 [14]

Answer:

4x-1

Step-by-step explanation: All you are doing is combining x and 3x which equals 4x and coming 4 and -5 which equals -1. So the answer will be 4x-1.

8 0
3 years ago
Quickly help me! This isn't live or anything, I just don't want to wait an hour.
leva [86]

Answer:

1/12

Step-by-step explanation:

When you add or subtract fractions, you need a common denominator.

Let's use the least common denominator of 12, 6, and 3.

Since 12 is a multiple of 6 and 3, the LCD is 12.

7/12 - 1/6 - 1/3 = 7/12 - 2/12 - 4/12 = 5/12 - 4/12 = 1/12

4 0
2 years ago
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