After observing a swinging lantern, italian scientist galileo galilei made an important discovery about the timing of a pendulum’s swing. christiaan huygens, from holland, discovered the relationship between the length of a pendulum and the time it takes to make a complete swing. these discoveries led to the use of pendulums in clocks.

Answers

Answer 1

Galileo's discovery was that the period of swing of a pendulum is independent of its amplitude--the arc of the swing--the isochronism of the pendulum.

Christiaan Huygens, a Dutch mathematician, astronomer, physicist, and horologist, created the pendulum clock in 1656 and received a patent for it in 1657. With the help of this technology, clocks now lose less than 15 seconds every day instead of nearly 15 minutes.

Huygens was motivated by Galileo Galilei's pendulum research, which he began in about 1602. Isochronism, or the fact that a pendulum's period of swing is about the same for swings of all sizes, is the main characteristic that makes pendulums ideal timekeepers, was discovered by Galileo.

Galileo came up with the concept for a pendulum clock in 1637, and his son started building one in 1649, but neither of them survived to see it completed. The precision of clocks was greatly improved by the advent of the pendulum, the first harmonic oscillator used for timekeeping, going from around 15 minutes per day to 15 seconds per day.

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Answer 2

Galileo made the discovery that a pendulum's period of swing is independent of its amplitude, or the swing's arc, or the isochronism of the pendulum.

The pendulum clock was developed in 1656 by Dutch mathematician, astronomer, physicist, and horologist Christiaan Huygens, who also got a patent for it in 1657. With the use of this technology, clocks no longer lose roughly 15 minutes of time each day, but rather lose less than 15 seconds.

Galileo Galilei's pendulum research, which he started about 1602, inspired Huygens. Galileo discovered isochronism, or the fact that a pendulum's period of swing is roughly the same for swings of all sizes, which is the main quality that makes pendulums great timekeepers.

The idea for a pendulum clock was developed by Galileo in 1637, and his son began construction on one in 1649, but neither of them lived to see it finished. With the invention of the pendulum, the first harmonic oscillator used for timekeeping, the accuracy of clocks was substantially increased, decreasing from roughly 15 minutes per day to 15 seconds per day.


Related Questions

Here is the histogram of a data distribution.
5 4 3 2
1'2'34'5'6'7'8'9 '10
Which best describes the shape of this distribution?
O A. Bimodal symmetric
B. Bimodal skewed
O c. Uniform
O D. Unimodal skewed
O E. Unimodal symmetric

Answers

I think is B.............

The given histogram is unimodal skewed.

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

This histogram is unimodal skewed.

There are two parts to this answer. The first part has to do with the number of modes.

This would be the item that is occurring the most frequently. In this case the mode is only 4.

It is occurring more than any other.

The second part of this has to do with the distribution of the data as it is displayed on the histogram.

There are 4 pieces of data that are only occurimg one time on the right of the histogram. We call this skewing the data.

When both sides looks almost the same we say it is symmetric.

Hence, the given histogram is unimodal skewed.

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Solve this problem please.

Answers

Answer:

Step-by-step explanation:

i dont know

Answer:

y = -1/2x+5

Step-by-step explanation:

South Street: y = 2x-4

Perpendicular slope to 2 is -1/2

Find any point on new street: (2,4)

4 = -1/2(2) + b

4= -1 + b

5 = b

Help me please I will give Brainiest answer

Answers

Answer:

A= 1,0 B=0, -3 C=-6, 5 D= -3, -5

The price of an item has been reduced by 5%. The original price was $20. what is the price of the item now?

Answers

Answer:

I think its 19

use exterior angle measures to solve for h

Answers

Answer:

h = 125

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, that is

h = 63 + 62 = 125

Find the areas of the trapezoids

Answers

Answer:

12 units²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ the parallel bases

Here h = 4 ( perpendicular distance between the bases ) and

b₁ = SR = 2, b₂ = TA = 4 , then

A = [tex]\frac{1}{2}[/tex] × 4 × (2 + 4) = 2 × 6 = 12 units²

guyssss ANYONEEE PLSSS!!!!!I NEED HELP LIKE ACTUALLY

Answers

Answer:

infinite number of solutions

I’m about to spam questions if you can answer them please do .

Answers

Answer:

x is 70

Step-by-step explanation:

hope this helps you

6x - 12 = 84
x = ?
find x

Answers

Answer:

x=16

Step-by-step explanation:

Answer:

6x-12=84 x=16 hope that helps

Step-by-step explanation:

6x-12=84x

   +12 +12

6x=96

then you divide 6 by 96 and thats how you get 16

Rena used the steps below to evaluate the expression (StartFraction (x Superscript negative 3 Baseline) (y Superscript negative 2 Baseline) Over 2 (x Superscript 4 Baseline) (y superscript negative 4 Baseline) EndFraction) Superscript negative 3, when x = negative 1 and y = 2.

Step 1:
Substitute x = negative 1 and y = 2 into the expression.
(StartFraction (negative 1) Superscript negative 3 Baseline (2) Superscript negative 2 Baseline Over 2 (negative 1) Superscript 4 Baseline (2) superscript negative 4 Baseline) EndFraction) Superscript negative 3
Step 2:
Simplify the parentheses.
(StartFraction (2) Superscript 4 Baseline Over 2 (negative 1) Superscript 4 Baseline (negative 1) cubed (2) squared EndFraction) Superscript negative 3 Baseline = (StartFraction (2) squared Over 2 (negative 1) Superscript 7 Baseline EndFraction) Superscript negative 3
Step 3:
Evaluate the power to a power.
StartFraction (2) Superscript negative 6 Baseline Over 2 Superscript negative 3 Baseline (negative 1) Superscript negative 21 baseline EndFraction
Step 4:
Use reciprocals and find the value.
StartFraction 1 Over 2 cubed (2) Superscript 6 Baseline (negative 1) Superscript 21 Baseline EndFraction = StartFraction 1 Over 8 times 64 times (negative 1) EndFraction = Negative StartFraction 1 Over 512 EndFraction

In which step did Rena make the first error?

Answers

Answer:

c) Step 3

Step-by-step explanation:

Answer:

Its D

Step-by-step explanation:

the person above me is wrong :)

if a cone has a volume of 28.63 and a diameter of 4.5 what is the height​

Answers

Answer:

height = 5.4 units

Step-by-step explanation:

r = 4.5/2 = 2.25

B = πr² = 3.14(2.25²) = 15.90

V = 1/3Bh

28.63 =1/3(15.90)h

85.89 = 15.90h

h = 5.40 units

What is the perimeter of this tile
3in 3in
Is it in or in^2

Answers

Answer:

12

Step-by-step explanation: each side is 3, and there are 4 sides so 3*4=12

The answer to this would be 12

What’s the slope (rate of change) for the red?

Answers

um I think it is 2,1 count over 2 then go up1

A bag of flour weighs 15 kg. A baker has one bag of flour. She uses 1.065 kg every day. How much flour does she use in 8 days? How much flour is left over after 8 days?

Answers

Answer:

She uses 8.52 kgs of flour in 8 days

There are 6.48 kgs of flour left over after 8 days.

Step-by-step explanation:

First, you need to multiply 1.065 by 8 to get how much flour she uses in 8 days.

1.065 times 8 is 8.52. She uses 8.52 kgs of flour in 8 days.

Now, to get how much flour is left over after 8 days, you need to subtract 8.52 from 15 kgs.

15 - 8.52 = 6.48 kgs.

A rectangle has an area of 96 sq. ft. Find the width of the rectangle if the height is 8 feet?

Answers

96/8= 12 ft

Therefore the answer should be 12ft :)

Since multiplication is implied algebra we often don't need to actually write the times symbol ‘×'. Re-write this algebraic equation without the times symbol. a × b = 4 × c

Answers

Answer:

ab=4c

Step-by-step explanation:

Since a and b are being multiplied, we can just right ab. Since 4 and c are being multiplied, we ca just right 4c.

Answer:

ab=4c

Step-by-step explanation:

Basically, if you see any variables that are together like that or numbers side by side with letters, it means it's just being multiplied! This doesn't however, work with numbers next to numbers. So for example:

Say you have a x b = 5 x 5c

It would be ab = 5 x 5c Because only letters get put next to each other. That's really the only way I know how to explain it. Have a great day and good luck!

Each piece of cardboard is 0.3 centimeters thick. If Tyler stacks 5 pieces of cardboard on top of one another, how thick will the stack be?

Answers

Answer:

1.5 inches thick

Step-by-step explanation:

The answer is 1.5 inches

Ming took a cab across town. His fare was $22, and he leaves an 18, percent tip.
What is the total amount Ming pays the cab driver?

Answers

Answer:Ming pays $25.96 to the cab driver.

Step-by-step explanation:

Ming took a cab across town, his fare of cab = $22.00

He leaves a tip of 18% of total fare = 18% of $22.00

Total amount = (18% of $22) + $22.00

( 18/100× 22) + 22.00

= (0.18 × 22) + 22.00

= 3.96 + 22.00

= $25.96

Ming pays $25.96 to the cab driver.

Solve for x and show your work! For each equation choose if there are:
• zero solutions for x • exactly one solution for x • or an infinite number of solutions for x.
3x + 5 = 7 + 3x


2(3x + 9) = 18 + 6x

Answers

3x+5=7+3x 2(3x+9)=18+6x
-3x -3x 6x+18=6x+18
—————- -6x -6x
5=7 ———————
-5 -5 18=18
—————— -18 -18
0=2 —————
Zero solution 0=0
An infinite number of solution

Movie tickets are $4 for regular admission and $3 for seniors. On a night where there were 190 people and total sales of $720 how many regular admission tickets were sold?
A. 50
B. 150
C. 40
D. 140

Answers

answer is B: 150

write two equations

r+s=190
4r+3s=720

solve by substitution

the get r=150 s=40

Answer:

150

Step-by-step explanation:

So if we rearrange the second equation we can get:

s = 190 - a

Now we substitute this into the first equation:

4a + 3(190 - a) = 720

4a + (570 - 3a) = 720

4a + 570 - 3a = 720

4a - 3a = 720 - 570

a = 150

I know the answers to this problem. I will give brainiest to the first one who ANSWER IS CORRECT.
255 X 35 X 97 X 56 ÷ 2

Answers

Answer:

24240300

Step-by-step explanation:

multiply the numbers thand divide by 2.


The length of a rectangle is 3 m less than double the width, and the area of the rectangle is 44 m. Find the dimensions of the rectangle

Answers

Answer:

Length of Rectangle is 3 cm less than twice the width

Area is 44 m2 ; let W = width;  2W - 3 = Length

Arect = L times W

44 = W ( 2W - 3 )

44 = 2W2 - 3W

0 = 2W2 - 3W - 44

Factoring

0 = ( 2W - 11 )( W +4)

2W - 11 =0   ;            W + 4 = 0

       W = 11/2                 W = -4  (width can not be a negative number)

Therefor: width is 11/2  and length is 8

PLS HELP ASAP Find the volume of the hemisphere. Round to the nearest tenth.


the hemisphere ft(or radius i guess) is 4

Answers

Answer:

If the radius is 4, then:

Volume = 1/2(4/3)(π)(r³) = 1/2(4/3)(3.14)(4³) = 134.0 ft³

PLEASE HELP

The filament of a car headlight is a thin wire that glows when electricity passes through it. Parabolic reflectors with a filament at the focus send light out in a straight beam. The cross section of a 2 inch deep headlight reflector has the equation y2=6x.

A. Draw a sketch of this situation. Include the location of the focus in your drawing.

B. How wide is the beam of light projected from the headlight's reflector? Show all work and give your answer as a decimal rounded to hundredths place.

Answers

Answer:

A. Please find attached the drawing of the reflector showing the location of the focus created with Microsoft Excel

B. The width of the beam of light projected from the headlight's reflector is approximately 6.93 inches

Step-by-step explanation:

The given equation representing the cross section of the headlight reflector is y² = 6·x

The shape of the reflector = Parabolic

The general equation of a parabola is (y - k)² = 4·p·(x - h)

The focus of the parabola, Focus = (h + p, k)

By comparison to the general equation of a parabola, from the equation of the reflector, we have;

k = 0, h = 0, 4·p = 6

∴ p = 6/4 = 3/2 = 1.5

∴ The focus of the parabola = (1.5, 0)

A. Please find attached the graph of the equation of the cross-section of the reflector, showing the filament at the focus, created with Microsoft Excel

B. The depth of the reflector is x = 2 inches

A vertical or horizontal parabola has two x-values for a given y-value or two y-values for a given x-value respectively

For the given horizontal parabola, the width of a parabola at a point is the difference between the two y-values at the point

At x = 2, we have;

y² = 6 × x = 6 × 2 = 12

∴ y = ±√(12)

The two y-values at x = 2 are y₁ = √(12) and y₂ = -√(12)

The width of the parabola, w = y₁ - y₂

The width of the parabola at x = 2, w = √(12) - (-√(12))

∴ w = √(12) +√(12) = 4·√3

The width of the parabola at x = 2, w = 4·√3 inches

The width of the parabola at x = 2 = The width of the beam of light projected from the headlight's reflector = 4·√3 inches

By giving the answer as a decimal and rounded to the hundredths place, we have;

The width of the beam of light projected from the headlight's reflector ≈ 6.93 inches.

48. A wire is securely attached from the top of
a 26-foot pole to a stake on the ground
14 feet from the base of the pole. Find the
length of the wire to the nearest tenth of a
foot.
A. 21.9 feet
B. 24.3 feet
C. 28.7 feet
D. 29.5 feet

Answers

Answer:

D. 29.5 feet

Step-by-step explanation:

1) First you use the pythagorean theorem a^2+b^2=c^2

2) 26^2+14^2=c^2 The wire is the hypotenuse.

3) Simplify the equation. 676+196=c

4) 872=c

5) Find the square root of 872 and round to the nearest tenth.

6) Your answer is 29.5 feet.

Hope this helps!

the answer of √ 9+4√5 is?​

Answers

Answer:

3 + 4√5   or    11.94    

Step-by-step explanation:

√ 9+4√5

√9 = 3

3 + 4√5

I need help please! I don’t understand.

Answers

.....................
H fffghhjjrkrk isjjehdjsjjd the last one

please help!! area of parallelogram

Answers

24 Área= Length x Width so 8x3

A serving of dried fruit is 1/5 cup. A bag contains
9/10
cup of dried fruit. Which
division expression can you use to find the number of servings in the bag:
1/5 divide 9/10 or 9/10 divide by 1/5 ? Explain your reasoning.

Answers

Answer:

9/10 divide by 1/5

4 1/2 cups

Step-by-step explanation:

Serving of dried fruits = 1/5 cups

Bag of dried fruits = 9/10 cups

Expression that can be used to find the number of servings in the bag = Bag of dried fruits / Serving of dried fruits

= 9/10 ÷ 1/5

= 9/10 × 5/1

= (9* 5) / (10 * 1)

= 45/10

= 4 5/10

= 4 1/2 cups

9/10 divide by 1/5

A number s divided by 2

Answers

Answer:

s/2 is the equation

Step-by-step explanation:

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