What is the period and frequency of a 10-pound weight oscillating (as a pendulum) on a 5-meter-long rope?

Answers

Answer 1

Answer: The mass of the pendulum does not affect the period and frequency
The period can be determined using the formula:
T = 2π √(L/g)

where L is the length of the rope
and g is the acceleration due to gravity = 9.8 m/s2

Plugging in the values:
T = 2π √(5/9.8)
T = 10π/7 = 4.49 s

And for the frequency:
f = 1/T
f = 1/4.49
f = 0.22 Hz

Answer 2

Answer:

Answer:

Period = 4.5 seconds

Frequency = 0.22 hertz.

Step-by-step explanation:

Given : 10-pound weight oscillating (as a pendulum) on a 5-meter-long rope.

To find : What is the period and frequency.

Solution :

The formula to find time when length is given,

$T=2\pi\sqrt{(L)/(g)}$

where,T is the time period , L is the length and g is the acceleration due to gravity

L= 5 m and g=9.8 m/s

Substitute in the formula,

$T=2\pi\sqrt{(5)/(9.8)}$

$T=2\pi√(0.510)$

$T=2* 3.14* 0.714$

$T=4.483$

The time period is approx 4.5 seconds.

$\text{Frequency}=\frac{1}{\text{Period}}$

$\text{Frequency}=(1)/(4.5)$

$\text{Frequency}=0.22\text{hertz}$

Therefore,Period = 4.5 seconds

Frequency is 0.22 hertz.

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Which statement is true regarding the graphed functions? A. f(4) = g(4)
B. f(4) = g(-2)
C. f(2) = g(-2)
D. f(-2) = g(-2)

Answers

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Step-by-step explanation:

If a project will take 35 employees 2,940 hours to complete, how many hours will each employee have to work?

Answers

2940/35 equals 84 so each employee will have to work 84 hours.

Emily is three years older than twice her sister mary’s age. the sum of their ages is less than 30. let x represent mary's age. which inequality represents mary’s possible age? responses •0

Answers

x < 9

Step-by-step explanation:

Let's use the information given to create an inequality for Mary's age (represented as x):

↪ Emily is three years older than twice Mary's age, so Emily's age is 2x + 3.

↪ The sum of their ages is less than 30, so we can write an inequality:

x (Mary's age) + 2x + 3 (Emily's age) < 30

Now, We can simplify the inequality:

3x + 3 < 30

Subtract 3 from both sides of the inequality:

3x < 27

Now, divide both sides by 3 to isolate x:

x < 9

So, Mary's possible age (represented by x) is less than 9. The inequality that represents Mary's possible age is: x < 9.

If a+b = 10 and ab= 16 . Find the value of a^2 - ab + b^2

Answers

Answer:

(a+b)^2=a^2+2ab+b^2

The given expression is that -3ab

100-3*16=100-48=52

52 it is.

*Justin is trying to determine if hehas enough money to buy a new video
game. The game cost $54.79. He
started the day with $210 in his bank
account. Looking at his receipts, he
has spent $87.35 at a clothing store,
$42.79 at a party store, and $25.68
at a gas station. Does he have enough
money to buy the video game? Beyond
estimating, explain your answer
mathematically.

Answers

Answer:

Justin does not have enough money because if you add up all the numbers you were given you get 155.82 and have 54.18 and the game costs 54.79. he is 61 cents off.

Step-by-step explanation:

4/3v =12

Simplify your answer as much as possible.

Answers

$\frac { 4 }{ 3 } v=12\n \n \frac { 3 }{ 4 } \cdot \frac { 4 }{ 3 } v=\frac { 3 }{ 4 } \cdot 12\n \n v=\frac { 36 }{ 4 } \n \n v=9$

4/3v = 12
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