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34kurt
3 years ago
5

Why would scientists and businesses be interested in a periodic motion

Mathematics
1 answer:
OlgaM077 [116]3 years ago
4 0
Periodic motion, in physics, motion repeated in equal intervals of time. Periodic motion is performed, for example, by a rocking chair, a bouncing ball, a vibrating tuning fork, a swing in motion, the Earth in its orbit around the Sun, and a water wave. In each case the interval of time for a repetition, or cycle, of the motion is called a period, while the number of periods per unit time is called the frequency. Thus, the period of the Earth’s orbit is one year, and its frequency is one orbit per year. A tuning fork might have a frequency of 1,000 cycles per second and a period of 1 millisecond (1 thousandth of a second).


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Hayley borrowed $1,854 from her parents. She agreed to repay them in equal installments throughout the next 18 months. How much
Serggg [28]

Answer: $ 618

Step-by-step explanation:

Money borrowed =  $1,854

Total months taken to repay = 18  (Number of installments)

Money paid per month = \dfrac{\text{Money borrowed}}{\text{Number of installments}}

=\dfrac{1854}{18}=\$103

Now , money paid in 1 year = 12 x $ 103 =$ 1236     [1 year = 12 months ]

After a year , Haley still owe =  $1,854 -  $ 1236= $ 618

Hence, Haley still owe her parents $618 after a year .

7 0
3 years ago
Suppose that the cost of drilling x feet for an oil well is C=f(x) dollars. a) What are the units of f'(x)? b) In practical term
antiseptic1488 [7]
A. The term "units" refers to the measurements in the original question or problem. When looking at the question, the units we are measuring are dollars/feet. 
B. In this case, the f'(x) means we are looking for the cost (in dollars) to drill the next foot down. 
C. Since the cost increases the more feet we drill down, the sign of f'(x) is positive. 
6 0
3 years ago
Lunch break: In a recent survey of 655 working Americans ages 25-34, the average weekly amount spent on lunch was $43.5
Inga [223]

Using the Empirical Rule, it is found that:

  • a) Approximately 99.7% of the amounts are between $35.26 and $51.88.
  • b) Approximately 95% of the amounts are between $38.03 and $49.11.
  • c) Approximately 68% of the amounts fall between $40.73 and $46.27.

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

The Empirical Rule states that, in a <em>bell-shaped </em>distribution:

  • Approximately 68% of the measures are within 1 standard deviation of the mean.
  • Approximately 95% of the measures are within 2 standard deviations of the mean.
  • Approximately 99.7% of the measures are within 3 standard deviations of the mean.

-----------

Item a:

43.5 - 3(2.77) = 35.26

43.5 + 3(2.77) = 51.88

Within <em>3 standard deviations of the mean</em>, thus, approximately 99.7%.

-----------

Item b:

43.5 - 2(2.77) = 38.03

43.5 + 2(2.77) = 49.11

Within 2<em> standard deviations of the mean</em>, thus, approximately 95%.

-----------

Item c:

  • 68% is within 1 standard deviation of the mean, so:

43.5 - 2.77 = 40.73

43.5 + 2.77 = 46.27

Approximately 68% of the amounts fall between $40.73 and $46.27.

A similar problem is given at brainly.com/question/15967965

8 0
3 years ago
Read 2 more answers
Drag a statement or reason to each box to complete this proof.
goblinko [34]

The different statements and reasons to prove that −3(x + 8) = −21 are as detailed below.

<h3>How to utilize properties of Algebra?</h3>

Statement 1; −3(x + 8) = −21

Reason 1; Given

Statement 2; −3(x + 8)/-3 = −21/-3

Reason 2; Division property of Equality

Statement 3; x + 8 - 8 = 7 - 8

Reason 3; Subtraction Property of Equality

Statement 4; x = -1

Reason 4; Given

Read more about properties of Algebra at; brainly.com/question/855307

#SPJ1

5 0
2 years ago
PLEASEE HELP!<br><br> What is the length of AD¯¯¯¯¯¯¯¯?
Juli2301 [7.4K]

Answer:

x = 1.9

Step-by-step explanation:

use SOH-CAH-TOA

5 0
4 years ago
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