A simple pendulum is made from a 0.864-m-long string and a small ball attached to its free end. The ball is pulled to one side through a small angle and then released from rest. After the ball is released, how much time elapses before it attains its greatest speed?

Answers

Answer 1

Answer:

Step-by-step explanation:

The period of a simple pendulum is

T = 2π√(L/g)

as going from zero velocity to max velocity takes 1/4 of a period

t = ¼(2π)√(L/g)

t = ½π√(L/g)

t = ½π√(0.864/9.81)

t = 0.466 s


Related Questions

1 3/10 x 18 please show work and answer

Answers

Answer:

Step-by-step explanation:

1 3/10 x 18

(1 x 10 +3)/10 = 13/10

13/10 x 18 = (13 x 18) / 10 = 234/10 = (234/2) / (10/2) = 117/5 = 23 2/5 (a fraction is a division)

The answer to the expression showing the product of 1 3/10 x 18 is 23 2/5.

Given is an expression showing the product of 1 3/10 x 18, we need to solve it,

To multiply a mixed number by a whole number, you can convert the mixed number to an improper fraction and then multiply the fractions.

Here's how you can solve the problem:

Step 1: Convert the mixed number to an improper fraction:

1 3/10 = (1 × 10 + 3) / 10 = 13/10

Step 2: Multiply the fractions:

13/10 x 18/1 = (13 x 18) / (10 x 1) = 234 / 10

Step 3: Simplify the fraction, if possible:

234/10 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2:

234/10 = (234 ÷ 2) / (10 ÷ 2) = 117/5

Therefore, 1 3/10 x 18 = 117/5.

Alternatively, you can express the answer as a mixed number by dividing the numerator by the denominator:

117 ÷ 5 = 23 with a remainder of 2

So, the final answer is 23 2/5.

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A food store is making 60 jars of vegetables. Each jar will get 7.83 ounces of peas and carrots
combined. The food store has 384 ounces of peas for all the jars, and the carrots will be divided
equally among the jars. How many ounces of carrots will go into each jar?

Answers

Answer:

1.43 ounces

Step-by-step explanation:

384 / 60 = 6.4

7.83 - 6.4 = 1.43

What is the first step needed to solve (2/5)x - 6 = -16

Answers

Answer:

Add 6 to both sides

Step-by-step explanation:

The (usual) first thing to do when solving any equation is to simplify both sides of the equation. However, since we have nothing to simplify, we move onto the next step that'll be the first step: isolating the variable, x. To do so, we must do the inverse of subtracting 6 (which is adding 6).

In the figure, a || b || c. Find the value of m<1 + m<2 + m<3 + m<4 + m<5.
(A). 360°
(B). 180°
(C). 270°
(D). Cannot be determined

Answers

Answer:

The answer is D cannot be determined

Step-by-step explanation:

this is because you don't have enough information

please help me with this and thank's ​

Answers

Answer:

Step-by-step explanation:

2 3. 5. + = 3 5. 8. + = 5 8. 13. + = Worked Example 1. The sequence of square numbers is. 1, 4, 9, 16, 25, 36, . . . Explain how to obtain the next number ...

I need this done, FAST! EMERGANCY! 20 4 this!

The account balance of each of three children at the end of a month is shown below: John has −$2.75 Cheryl has −$3.00 Andrew has as much savings in his account as the amount John owes the bank. Part A: On a blank paper, draw a number line from −4 to +4. Plot points on the number line to show the account balances of the three children. Label the points using the name of each child. Describe in detail how you created and labeled this number line, and what it looks like in detail. (5 points) Part B: Determine whether John or Cheryl owes the bank more. Use absolute values and inequalities to write statements that justify your conclusion. (5 points)

Answers

Answer:John has −$2.75

Cheryl has −$3.00

Andrew has as much savings in his account as the amount John owes the bank.

: On a blank paper, draw a number line from −4 to +4. Plot points on the number line to show the account balances of the three children. Label the points using the name of each child. Describe in detail how you created and labeled this number line, and what it looks like in detail. (5 points)

: Determine whether John or Cheryl owes the bank more. Use absolute values and inequalities to write statements that justify your conclusion. (5 points)

Step-by-step explanation:

simplify -4y+8y answer quick pls

Answers

Step-by-step explanation:

-4y + 8y = 4y

it is the same as -4 + 8 = 4

Answer:

4y is the answer.

Step-by-step explanation:

Since there is like variables, we can add -4y and 8y.

=> -4y + 8y = 4y.

Therefore, 4y is the answer. Hoped this helped.

rewrite in slope intercept

a(bx + y) = c

Answers

Y=abx +c ……………..loll

Solve the inequality for u 20>u+8

Answers

Answer:

u < 12

Step-by-step explanation:

20 > u + 8 ( subtract 8 from both sides )

12 > u , then

u < 12

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I will be helping you today. I hope you are having a nice day!

We can solve this equation in one step, which is Algebra, I'll start solving the problem now.

Algebra

We can start by simplifying the problem, [tex]20>u+8[/tex], we can subtract by 8 on each side to simplify the equation. I'll explain why afterwards.

[tex]20>u+8\\12>u[/tex]

As you can see we've subtracted by 8 on both sides, the reason this works is because when we do something to one side, we must do it to the other, which keeps the equation balanced.

We can prove this works by picking a random number for [tex]u[/tex] from our simplified version. For this case, lets pick 11.

We can see that if we plug it in to the first unsimplified equation, it works perfectly fine:

[tex]20>11+8?\\20>19[/tex]

We've proven that its correct.

So our final answer is [tex]u<12[/tex].

Cheers!

Use the Distributive Property to expand ​3(6x-4y)-8

Answers

Answer:

[tex]18x - 12y -8[/tex]

Step-by-step explanation:

Distribute property means that [tex]a(b+c)=ab+ac[/tex]

Meaning that you will have to multiply 3(6x) and 3(-4y)

3(6x) = 18x and 3(-4y) = -12y and because -8 isn't inside the parenthasis we don't multiply 3 and -8

2. Solve for x: 2(x - 5) = x + 3(x + 2)​

Answers

Answer:

x=-8

Step-by-step explanation:

Answer:

x = -8

Step-by-step explanation:

Firstly, distrubute 2 to our parentheses (2x - 10). Now, let's add our like terms, 2x - 10 = 4x + 6 since x alone is one we add this to 3x, equaling 4x. Then we're going to move our variable and sign, 2x - 10 - 4x = 6. Alright, now combine like terms and calculate (2x - 4x), we know when we subtract two and four, it's a negative 2, -2x = 6 + 10 = 16. Now divide both sides of the equation by -2, 16 divided by -2 is -8. Therefore, x = -8, hope this helped! Have a great day!

5 An army cook wants to make pudding
for dessert. He has a recipe that calls for
2 cups of milk to make 4 servings. There
are 16 cups in a gallon. How many gallons
of milk does the cook need to make
864 servings of pudding?

Answers

Answer:

27

Step-by-step explanation:

First you dvide 864 by 4  to get 216. Next you multiply the 216 by 2 to find that there are 432 cups in 864 servings. Finally you divide by 16 to turn 432 cups into 27 gallons.

I hope this helps!

Answer:

27 gallons

Step-by-step explanation:

First, multiply each number by 8, so you can get 16 cups.

16 cups to make 32 servings or 1 gallon to make 32 servings

Then find out what you multiply 32 by to get 864 by dividing 864/32 which is 27.

Now multiply the 1 gallon by 27 to get 27 gallons in 864 servings

Eight pins, each 43/8" long, have to be cut from a piece of drill rod. There is a 3/32" waste for each cut. What is the minimum length of rod you will need?​

Answers

Answer:

Eight pins, each 43/8” long, have to be cut from a piece of drill rod. There is a 3/32” waste for each cut. What is the minimum length of rod you will need? 35” ...

The radius of a circle is constantly increasing. At a certain moment, the rate of increase of the circumference is the same as the rate of increase of the area. At that moment, what is the area of the circle?
a. 1/pi
b.pi/4
c.4pi
d.pi
e.4/pi

Answers

rate of change circumference=rate of change area, derivative of circumference(2piR)=derivative of area(piR^2), 2pi=2piR, R=1, plug back into area formula: piR^2, pi(1)^2, area=pi :)

Complete the table for an object that goes 3/4 mile in 6 minutes .

Answers

For 1 1/2 the time would be 1/5. For 2 1/4 the time would be 3/10. Hope this helps

X+y=6 x-y=-2 solve by elimination

Answers

Step-by-step explanation:

x + y = 6

+ x - y = -2

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

2x + 0 = 4

x = 2

2 + y = 6

y = 4

(d). Find the area of the region enclosed by the graphs of f(x)= x³ and g(x)=x²+2x. [Verify your answer by MATHEMATICA and attach the printout of the commands and output (e). Find the area of the region enclosed by the graphs of y = 3/X and y=4-X. [Verify your answer by MATHEMATICA and attach the printout of the commands and output

Answers

Answer:

d .  37/12 unit^2.

Step-by-step explanation:

d) First find the points of intersection of the the 2 graphs, by solving them simultaneously:

x^3 = x^2 + 2x

x^3 - x^2 - 2x) = 0

x(x^2 - x - 2) = 0

x(x - 2)(x + 1) = 0

So they intersect at x = -1, x = 0 and x = 2.

Take the area from x = 0 to x = 2)

           2                        2

Area =  ∫ x^2 + 2x dx -   ∫  x^3 dx

            0                       0

   2

=  [ x^3/3 + x^2 ) - x^4/4]

   0

=   ((8/3 + 4) - 0) - (16/4 - 0) -

=   8/3 unit^2

Now calculate the area  from x = -1 to x = 0.

   0

=    (x^3/3 + x^2 ) - x^4/4 )

   -1

=   (( 0 +1/3 - 1) ) - (0 - 1/4)

=  5/12 unit^2

So the total area of the region =  8/3 + 5/12 = 37/12 unit^2.

Divide. 1 4/9 ÷ 2/3 pls help

Answers

1 4/9 ÷ 2/3 = 13/9 x 3/2 = 13/6

ok done. Thank to me :>

Due Tomorrow: answer question 1 with steps

Answers

Answer:

the 1 st qn that is no2 c is just down right corner am I right

Step-by-step explanation:

plzzz make me ans as the brainliest ans

a grower wishes to mix a one peso per gram chemical with 80 centavo per gram chemical to produce mixture of 200 grams chemical which he can sell for 84 centavo a gram. how many grams of each price of chemical should he use

Answers

40 grams of $ 1 per gram and 160 grams of $ 0.80 per gram should be used.

Since a grower wishes to mix a one peso per gram chemical with 80 cent per gram chemical to produce mixture of 200 grams chemical which he can sell for 84 cent a gram, to determine how many grams of each price of chemical should he use you must perform the following calculation:

(150 x 1 + 50 x 0.8) / 2 = 95 (140 x 1 + 60 x 0.8) / 2 = 94 (100 x 1 + 100 x 0.8) / 2 = 90 (50 x 1 + 150 x 0.8) / 2 = 85 (40 x 1 + 160 x 0.8) / 2 = 84

Therefore, 40 grams of $ 1 per gram and 160 grams of $ 0.80 per gram should be used.

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A 6-pack of ice cream sandwiches costs $3.86. What is the unit price, rounded to the nearest cent?


Answers

Answer: so either .64 or , .66,

Step-by-step explanation:

divide 3.86 by 6

Hey everybody!
Can somebody please help me put with this problem?
I would really appreciate it if you could! Take a look!​

Answers

Answer: f(2) = 1

Explanation: y = mx + b
f(x) = mx + b
m = 1
b = -1
f(x) = x - 1
f(2) = 2 - 1
f(2) = 1
I’m not sure if I’m right

The average of 5 consecutive whole numbers is 2021. What is the average of the first 3 of these numbers?

Answers

Answer:

2020

Step-by-step explanation:

if it is 5 consecutive numbers, it means it needs to be 2019, 2020, 2021, 2022, 2023

it is the number in the middle.

for the first 3 numbers, it is 2019, 2020, 2021

the middle number is 2020

The mean or average of the consecutive first 3 numbers such that the average of 5 consecutive whole numbers is 2021 will be 2020.

What is mean?

The mean is the average of a data set. Mean gives us an idea of that how much amount of overall data have.

In other words, the mean is the foundation of the deviation of data from all data sets.

Let's say the first integer is x.

Then, next terms will be x + 1, x + 2, x + 3, x + 4.

It is known that,

Mean = sum of data / Number of data

(x + x + 1 + x + 2 + x + 3 + x + 4)/5 = 2021

(5x + 10)/5 = 2021

x + 2 = 2021

x = 2019

Now, first, three consecutive integers will be,

2019,2020 and 2021

The mean of the above integers will be,

(2019 + 2020 + 2021)/3 = 2020

Hence "The mean or average of the consecutive first 3 numbers such that the average of 5 consecutive whole numbers is 2021 will be 2020".

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Find the values of x and y.

X =
y =

Answers

Answer:

y=5

x=45

Step-by-step explanation:

I am not quite sure of x but I am positive for the value of y

hi if you know 8th grd math pls help

Answers

Answer:

all correct except A.

Step-by-step explanation:

pls mark me brainly if u can

Which expression has the same value as − 4 1/5 + 9 3/5?

Answers

Answer:

27 / 5

Step-by-step explanation:

− 4 1/5 + 9 3/5 = 5.4 or 5 2/5

27/5 = 5.4 or 5 2/5

Maria just got a raise at work. She was making $9 per hour, but now she makes 150% of that amount. Explain how you would find the amount of money Maria now makes per hour.

Answers

Answer:

9.00 x 150%= $13.50 an hour

Step-by-step explanation:

maria started to make $9.00 and hour

you multiply 9.00 x 150= $13.50

hope this helps!

16/20 - (- 1.8) - 4/5 =​

Answers

Simplify 16/20 to 4/5
Remove parentheses
4/5 + 1.8 - 4/5



=9/5

I=PRT used to calculate interest earned. How do I solve for T?

Answers

9514 1404 393

Answer:

  T = I/(PR)

Step-by-step explanation:

Solve for T the same way you solve for the variable in any proportion: divide both sides of the equation by its coefficient.

  I = PRT

  I/(PR) = PRT/(PR)

  I/(PR) = T

_____

Additional comment

Please note that parentheses are required around the factors of the denominator when you write this in plain text.

  I/PR ≠ I/(PR)

  I/PR = (I/P)R . . . . . the order of operations requires the division occur before the multiplication

If you write this by hand, or in typeset form, the horizontal fraction bar serves to group the factors of the denominator:

  [tex]T=\dfrac{I}{PR}[/tex]

Triangle DEF is dilated by a scale factor of 2/3 to form triangle D´E´F´. What is the measure of side DE?

Answers

Answer:

DE = 30

Step-by-step explanation:

Let X be the measure of side DE.

You can write this equation to represent the problem:

[tex]x *\frac{2}{3} =20[/tex]

The measure of DE (x) is multiplied by the scale factor of [tex]\frac{2}{3}[/tex] to become 20.

Solve for x:

[tex]x *\frac{2}{3} =20\\\frac{2x}{3} =20\\2x=60\\x=30[/tex]

DE = 30

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