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3 years ago

Starting at its rightmost position, it takes 1 second for the pendulum of a grandfather clock to swing a

Mathematics

2 answers:

kirza4 [7]3 years ago

5 0

Answer:

Step-by-step explanation:

amplitude of oscillation a = 12 / 2 = 6 inches.

time period T = 2 s

b = angular frequency = 2π / T

= 2π / 2

= π

so putting the values in the equation

d = a cos ( b t )

d = 6 cos ( π t )

USPshnik [31]3 years ago

3 0

Answer:

there are two more questions and the answers are 0.5 is the least positive amount of the pendulum and 4.243=y when x=4.25

Step-by-step explanation:

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Which of the following is defined by a line parallel to one side of a triangle

Katarina [22]

Answer:

Triangle Proportionality Theorem is defined by a line parallel to one side of a triangle divides the other two sides proportionally.

Step-by-step explanation:

Triangular Proportionality Theorem states that:

If a line parallel to one side of a triangle intersects the other two sides, then it divides those sides proportionally.

Let us consider the triangle ΔABC as shown in attached figure.

$DE$ ║ $AC$

then

$\frac{BD}{DA} = \frac{BE}{EC}$

Therefore, Triangle Proportionality Theorem is defined by a line parallel to one side of a triangle divides the other two sides proportionally.

Keywords: Triangle Proportionality Theorem, triangle, line segment

Learn more about Triangle Proportionality Theorem from brainly.com/question/11827486

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3 years ago

Pennsylvania Refining Company is studying the relationship between the pump price of gasoline and the number of gallons sold. Fo

Semenov [28]

Complete Question

Pennsylvania Refining Company is studying the relationship between the pump price of gasoline and the number of gallons sold. For a sample of 14 stations last Tuesday, the correlation was 0.65.At the 0.01 significance level Can the company conclude that the correlation is positive

Answer:

Yes the company conclude that the correlation is positive

Step-by-step explanation:

From the question we are told that

The sample size is n = 14

The correlation is r = 0.65

The null hypothesis is $H_o : r < 0$

The alternative hypothesis is $H_1 : r > 0$

Generally the standard deviation is mathematically evaluated as

$Sr = \sqrt{1- r}$

$Sr = \sqrt{1- 0.65}$

$Sr = 0.616$

The degree of freedom for the one-tail test is

$df = n- 2$

$df = 14- 2$

$df = 12$

The standard error is evaluated as

$SE = \frac{0.616}{ \sqrt{12} }$

$SE =0.1779$

The test statistics is evaluated as

$t = \frac{r }{SE}$

$t = \frac{0.65 }{0.1779}$

$t = 3.654$

The p-value of of t is obtained from the z table, the value is

$p-value = P(t < 3.654) = 0.00012909$

Given that $p-value < \alpha$ then we reject the null hypothesis

Hence the company can conclude that the correlation is positive

6 0

3 years ago

1. Which range of numbers is most appropriate for the y-axis scale and interval on a graph given the

nata0808 [166]

Answer:

Option B.

Step-by-step explanation:

We need to find the range of numbers is most appropriate for the y-axis scale and interval on a graph for given table.

From the given table it is clear that the minimum value of y is 10 and the maximum value of y is 34.

It means 10 and 34 must be included in the Range.

In option C and D 34 in not included in the range, so these options are incorrect.

In option A, 10 is the minimum value of range and interval of 10 is not possible for the range 10-35, because it contains only multiple of 10 on the y-axis. So, this option is incorrect.

In option B, both 10 and 34 are included and interval of 5 is possible for range 0-35.

Therefore, the correct option is B.

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3 years ago

What do you think will happen during this election day?

Viktor [21]

I believe the answer is 2

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3 years ago

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