What are the steps for creating the Pythagorean Spiral?
Answers
The pattern for the hypotenuse in the Pythagorean spiral would be;
√(a² + b²)
The Pythagorean spiral can be formed by drawing squares whose side lengths are given by the Pythagorean triples, which are sets of three positive integers (a, b, c) that satisfy the equation a² + b² = c².
In the Pythagorean spiral, the hypotenuse of each square is the diagonal of the square, that is given by the square root of the sum of the squares of the sides.
For a square with side lengths a and b, the hypotenuse (diagonal) is;
√(a² + b²)
Therefore, the pattern for each hypotenuse in the Pythagorean spiral is that it is the square root of the sum of the squares of the side lengths, where the side lengths are integers that form a Pythagorean triple.
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Related Questions
Suppose that a particular brand of 5 inch candles has an average life of 27 hours with a standard deviation of six hours. If all possible samples of 4 candles were selected in the average life of the samples was determined, what would the mean of the distribution of the sample means be?
5
3
4
27
Answers
The mean of the distribution of sample means would be 27 hours, which is the same as the average life of the candles.
This is because the sample means would be expected to be centered around the population mean.
The standard deviation of the distribution of sample means (also known as the standard error of the mean) can be calculated using the formula:
standard deviation of sample means = standard deviation of population / square root of sample size
In this case, the standard deviation of sample means would be:
6 / square root of 4 = 3
So the answer is 3.
So, the mean of the distribution of the sample means would be 3. Your answer: 3.
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What is the Equation of a line that has a slope
of -3 passes to the point (4,-5)
Answers
Answer:
y= -3x + 7:)
Step-by-step explanation:
Hope this helps!
Answer:
y = - 3x + 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 3 , thus
y = - 3x + c ← is the partial equation
To find c substitute (4, - 5) into the partial equation
- 5 = - 12 + c ⇒ c = - 5 + 12 = 7
y = - 3x + 7 ← equation of line
the length of a rectangle is twice as long as he width. the perimetter of the rectangle is 72 in. what tare thte length and width of this rectangle
Answers
Width is 24 & Length is 12 of a rectangle.
What is rectangle short answer?
The internal angles of a rectangle, which has four sides, are all exactly 90 degrees. At each corner or vertex, the two sides come together at a straight angle. The rectangle differs from a square because its two opposite sides are of equal length.give,
Perimeter = 72
Width = 2*Length
Let P = Perimeter
Let W = Width
Let L = Length
Knowing
P = 2L + 2W = 72
W = 2L
We can rewrite everything in terms of Length
72 = 2L + 2(2L)
72 = 2L + 4L
72 = 6L
72/6 = L
12 = L
W = 2L
W = 2(12) = 24
Width is 24
Length is 12
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Which equation shows how to use equivalent fractions to evaluate 5/7 + 1/2.
Choose 1 answer:
Answers
Answer:
last one
Step-by-step explanation:
\(\frac{5}{7}\) = \(\frac{10}{14}\)
\(\frac{1}{2}\) = \(\frac{7}{14}\)
need common denominators to add fractions.
what ever is multiplied to the bottom needs to be multiplied to the top
for example : \(\frac{5}{7}\) x \(\frac{2}{2}\) = \(\frac{10}{14}\)
PLS HELP FAST !!!
The chart below shows the results of survey taken by a movie theater. The theater asked what genre the mover goers preferred to see. If the theater owner asked 100 people, how many people would prefer Drama? Round to the nearest whole number
Answers
Answer: Hence the cost of operating theater if there are 100 people at a show is 20,000Rs.
Step-by-step explanation:
Theater is a place where the movies are shown in big screens and Speakers are used for the clear audio of the movie.
In a theater there will be 3 to 4 shows for a movie or different movie.
Theater can consist of 250 - 300 seats and can cost up to 250rs for a seat.
Consider a ticket cost of 200rs. For 100 people in a show ,
Cost = 200 × 100
Cost = 20,000.
Hence the cost of operating theater if there are 100 people at a show is 20,000Rs.
Write three four-digit numbers that are divisible by 4,5, and 9.
Answers
To be divisible by 5, the last digit needs to be 5 or 0.
To be divisible by 4 as well, your number will need to end with 20, 40, 60, 80, or 00.
To be divisible by 9, the digits need to add up to 9, 18, 27, 36, etc.
So, ending with 20, 6120 works, as does 5220, 4320, 3420, 2520, and 1620.
If we move the ending with 40, 1440 works, as does 2340, 3240, 4140, 5940, and 6840.
4500, 1000, and 1005
The length of a rectangular cement patio is 3 feet less than three times the width. The sum of the length and width of the patio is 21 feet. Find the length of the patio.
Answers
Answer: The length is 15 feet.
Step-by-step explanation:
L = 3w - 3 (length is 3 feet less than three times the width)21 = w + (3w -3)21 = 4w - 3 (add like terms)24 = 4w (substract 3 from both sides)6 = w <-- widthBut, the problem is asking for the length...
L = 3w - 3L = 3(6) - 3L = 18 - 3L = 15 ftPlease help me with this question
Answers
Answer:
Step-by-step explanation:
A city map uses a scale in which 2.5 centimeters represents 3 kilometers. The distance on the map between the post office and the
library is 9 centimeters.
What is the actual distance between the post office and library in kilometers?
0.83 kilometers
7.5 kilometers
10.8 kilometers
22.5 kilometers
Answers
Answer:
10.8 kilometers
Sathish is going on a 210021002100-kilometer road trip with 222 friends, whom he will pick up 150150150 kilometers after he begins the trip and drop off when there are 150150150 kilometers remaining. the car consumes 666 liters of gas for every 100100100 kilometers, and gas costs \$1.20$1.20dollar sign, 1, point, 20 per liter.
Answers
Sathish will pay $64.8
When Satish is alone, kilometres:
Beginning at 150 kilometres and ending at 150 kilometres will be travelled 300 kilometres in total
When Satish is with friends, the total kilometres travelled is 2100 km:
And when Satish went alone he travelled 300 km
When Satish is with friends, total kilometres travelled: 2100-300 = 1800 km
Gas consumed in litres when Satish is alone: 100 kilometres use 6 litres of gas.
300 kilometres at 6 x 3 equals 18 litres.
So, when Satish is with friends, litres of gas are consumed: 100 kilometres use 6 litres of gas.
So, 6 × 18 for 1800 kilometres is equal to 108 litres.
Gas prices when Satish is on his own:
$1.2 per litre
18 x $1.2 = $21.6
Gas prices when Satish is travelling with friends
$1.2 per litre
108 x 1.2 = $129.6
Cost for each friend = $129.6/3 = $43.2
Satish will pay: Cost when travelling with friends + Cost when travelling alone
=$43.2+ $21.6
=$64.8
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Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 14 fect and a height of 13 fect. Container B has a diameter of 12 feet and a height of 18 feet. Container A is full of water and the water is pumped into Container B until Container A is empty. After the pumping is complete. what is the volume of the empty portion of Container B, to the nearest tenth of a cubic foot?
Answers
The volume of the empty portion of Container B is given as follows:
34.6 ft³.
How to obtain the volume of the cylinder?The volume of a cylinder of radius r and height h is given by the equation presented as follows:
V = πr²h.
(the radius is half the diameter).
Hence the volume of Container A is given as follows:
V = π x 7² x 13
V = 2001.2 ft³.
The volume of container B is given as follows:
V = π x 6² x 18
V = 2035.8 ft³.
Then the volume of the empty portion of Container B is given as follows:
2035.8 - 2001.2 = 34.6 ft³.
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Whats 21 square root of 98 divided by 7 square root of 21
Answers
The 21 square root of 98 divided by 7 square root of 21 = 21√98 / 7√21 = 6.4807407
A square root of a number x is a number y such that y2 = x; in other words, a number y who's square and the result of multiplying the number by itself, or y ⋅ y, is x.
Every nonnegative real number x has a unique nonnegative square root, called the principal square root, which is denoted by √where the symbol √ is called the radical sign.
Every positive number x has two square roots: √ which is positive, and -√ which is negative. The two roots can be written more concisely using the ± although the principal square root of a positive number is only one of its two square roots, the designation "the square root" is often used to refer to the principal square root.
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Find the y intercept
x-3y = 12
Help plz
Answers
Answer:
15
Step-by-step explanation:
Because 15 -3 will give you 12
Answer:
the y intercept is -4 or (0,4)
Step-by-step explanation:
To find the y intercept you have to make x zero, and vice versa. So:
0-3y = 12
-3y = 12
y = 12/-3
y = -4
the y intercept is -4 or (0,4)
the buoyant force on a block submerged in salt water is greater than the buoyant force on the block when itis submerged in tap water. which of the following describes the microscopic cause of this difference?
Answers
The difference in buoyant force is caused by the differing densities of the two types of water.
What is buoyant force?Buoyant force is an upward force exerted on an object when it is submerged in a fluid. This force is caused by the fluid's pressure pushing against the object from the outside. The magnitude of the buoyant force is equal to the weight of the fluid displaced by the object. This force can be used to calculate the maximum weight an object can support when submerged in a fluid.
Salt water has a higher density than tap water due to its dissolved salt, meaning that salt water is more resistant to being displaced by the block. The greater density of the salt water applies a greater upward force on the block, creating a higher buoyant force than tap water. To understand this on a microscopic level, the dissolved salt in the salt water increases the intermolecular forces between the water molecules, making them more tightly packed and therefore more resistant to displacement by the block. This increased resistance to displacement results in a larger buoyant force.
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Part A Write the multiplication expression shown by the model. Do not solve the problem.
help
Answers
The multiplication expressions shown by the model are:
Green squares: (4 x 10) + (1 x 6)Red squares: (4 + 2) + (4 x 10)Blue squares: (8 x 2) (3 x 10)Ash squares: (2 + (6 x 10)What are multiplication expressions?A multiplication expression is a mathematical statement that uses the multiplication operand with either number, variables, or a combination of the two to produce results.
The numbers or variables in a multiplication expression are known as multiplicand (the first number to be multiplied) and multiplier (the second number multiplying).
The result or solution of a multiplication operation is known as the product.
Thus, other possible multiplication expressions can be written out from the model because of the additive property of multiplication.
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Help please!
A vocational school admits 4 out of every
10 people who apply for admission. One
year, 640 students were admitted. How
many people applied for admission?
Answers
Answer:
319
Step-by-step explanation:
i am really not sure but i believe so i hope it is the right answer
Answer:
1600 people
Step-by-step explanation:
This is a ratio problem. We can set up the proportion by letting x be the number of people who applied for admission:
\(\frac{4}{10}=\frac{640}{x}\)
Since we know that 4 people get in for every 10 people that apply, we can set up an equation like the one above and solve for x by cross multiplying:
\(6400=4x\\x=1600\)
This means that 1600 people applied for admission to the vocational school.
Consider a goodness-of-fit test with a computed value of chi-square27. 385 and a critical value13. 388, the appropriate decision would be to __________.
Answers
Since the chi-square 27.385 is greater than 13.388 at the provided critical value level value, the null hypothesis is accepted.
What is conclusion of hypothesis testing?The hypothesis test makes an announcement the outcome of an assumption in five to six fundamental phases. The technique to be used is based on the idea of correlating the standardized sample equivalent of a parameter to the critical boundary that allows the null hypothesis to be accepted.For the given question;
27. 385 is the chi-square value.13.388 is the critical value.The hypotheses for the goodness of fit test are as follows:
Null: a expected value does not differ significantly from the observed values.Alternative: the expected value differs significantly from the observed values.The chi-square test has one tail.
The criterion is as follows:
The null hypothesis is dismissed if the test statistic exceeds the critical value.If the test statistic is less than the critical value, this same null hypothesis is rejected.Thus, the null hypothesis is accepted at the provided level of critical value because the chi-square 27.385 is more than 13.388.
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A line has a slope of 3 and a y-intercept of 5. What is its equation in slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answers
Answer:
y=3x+5
Step-by-step explanation:
Slope-intercept form: y=mx+b
m=slope=3
b=y-intercept=5
2.2. South African friends of the Netherlands couple departed from Pretoria at 04h30am to spend the holiday with them. Their journey is described as follows: On their way from Polokwane they took the turn-off to the R521 route. Rest for 45 minutes at Dendron and took 15 minutes to do someshopping and till up the car's fuel tank at All days. 2.2.1. If the scale of the map is given as 1: 3 000 000 and the distance measured on the map between Beitbridge and Musina is 1,3 cm. calculate (in km) the actual distance between Beitbridge and Musina. ● (3)
Answers
The actual distance between Beitbridge and Musina is 3,900,000 kilometers.
To calculate the actual distance between Beitbridge and Musina, given the scale of the map and the measured distance on the map, we can use the concept of scale.
The scale of the map is given as 1:3,000,000, which means that 1 cm on the map represents 3,000,000 cm in real life.
The measured distance on the map between Beitbridge and Musina is 1.3 cm.
To find the actual distance, we can set up a proportion using the scale:
1 cm on the map / 3,000,000 cm in real life = 1.3 cm on the map / x km in real life.
Simplifying the proportion, we have:
1 / 3,000,000 = 1.3 / x.
Cross-multiplying, we get:
x = (1.3 * 3,000,000) / 1.
x = 3,900,000 / 1.
x = 3,900,000 km.
The actual distance between Beitbridge and Musina is 3,900,000 kilometers.
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Find the value of x. Then find the measure of each labeled angle.
X
(x-44)
x =
(x - 44)° = 11
Answers
Answer:
x=55
Step-by-step explanation:
solve this to get brainliest!
Answers
Answer:
40+4.5p=112, and 16
Step-by-step explanation:
Roger always starts off with the same $40. Then, he gets $4.5 for every pair of shoes he sells. So, if the number of shoes sold is p, we then have the equation:
40+4.5p=112
The next part of the question asks for us to solve this equation, basically. We subtract 40 from both sides:
4.5p=72
p=72/4.5 (Divide both sides by 4.5)
p=16
PLZ HELP NEED ASAP!!!!!!!! will give brainliesst!!!
Answers
Use Pythagoras
18^2 +b2=30^2
325+b^2=900
(Rearrange to make b^2 subject)
B^2=900-325
B^2=576
Square root 576
=24
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Rearrange 4(2x+y)=11+7y to make x the subject
thanksxx
Answers
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable
x = 11+3y/8
Step-by-step explanation:
Answer:
4(2x + y) = 11 + 7y
1. expand the brackets 8x + 4y = 11 + 7y
2. move +4y to the other side 8x = 11 + 3y
3. move 8 to the other side x= (11 + 3y)/8
Step-by-step explanation:
R Markdown is a file format for making dynamic documents with R. What are the benefits of creating this kind of document? Select all that apply.
Multiple Choice Question. Please Choose The Correct Options A
Perform calculations for analysis more efficiently
B
Generate a report with executable code chunks
C
Save, organize, and document code
D
Create a record of your cleaning process
Answers
An writing format called R Markdown (. Rmd) makes it simple to create dynamic documents, presentations, and reports with R.
It mixes R code chunks that are embedded and run so that their result can be included in the final document with the basic grammar of R markdown, a simple plain text format. The following are some benefits of utilizing R markdown: explicitly connects your data, R code, and output to produce a workflow that is completely reproducible. You can include ALL of the R code that was used to explore, summarize, and analyze your data in a single, simple-to-read document.
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(1) A pizza restaurant had 3/5 of a gallon of pizza sauce left at the end of the evening and
divided it equally among 6 pizzas. How much sauce did they put on each pizza?
Answers
Answer:
The pizza restaurant put 1/10 of the sauce on each pizza.
Step-by-step explanation:
Take the 3/5, and on a calculator divide the 3 by the 5:
0.6
Then, take the 0.6 and divide it by the 6 pizzas:
0.1, converted into a fraction equals 1/10.
The pizza restaurant put 1/10 of the sauce on each pizza.
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 10 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
What is the average rate if change over the domain -1
Answers
I'm sorry, but the domain of a function is usually specified as an interval or range of values, rather than a single point. To calculate the average rate of change of a function over a given domain, we need to know the function itself and the endpoints of the domain.
If you provide me with more details about the function and the domain, I can help you calculate the average rate of change.
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i need help Which of the points E , F , G , or H is the center of dilation?
Responses
E
F
G
H
Answers
segment EH and segment E'H' both pass through the center of dilation.
Which statement is true about the dilation?A fixed point in the plane around which all points are enlarged or contracted is the center of a dilation.
The center, which may be found within, outside, or on a figure, is the only invariant (not changing) point under a dilation (k 1).
In the figure attached, triangle EFG is shown.
H is located at (0, 1)
The center of dilation is located at (0, 2)
Then, H' is located at (0, 0), so that the distance between the center of dilation and H' is twice the distance between the center of dilation and H.
E is located at (0, 5)
Then, E' is located at (0, 8), so that the distance between the center of dilation and E' is twice the distance between the center of dilation and E.
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Live wants to have his birthday party at the bowling alley with a few of his friends but he must be a less than $80 the bowling alley charge a flat fee of $45 for a private party +5.50 per person
Answers
Answer: 45+16.5=61.5
Step-by-step explanation:
if there is 2 friends going with him it would be 45+16.5=61.5
so that is how much he spends in there is more friends ill give you the other answer if there is more friends
The frequency of occurrence of something within a specifically defined area is the.
Answers
The frequency of a phenomenon in a given study area is known as density.
Mass per unit volume is the definition of a material's density. Density, or mass per unit volume, is defined as the ratio of mass to volume. It gauges how much "stuff" an object contains in relation to its volume (cubic meter or cubic centimeter).
A measurement of density contrasts the mass of an object with its volume. High density refers to the amount of matter in a given volume of an object. A low density is an object with little substance in the same volume.
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for fixed population standard deviation and level of significance, the minimum sample size needed to guarantee a given margin of error ......... as the margin of error increases.
Answers
As per the concept of margin of error, the standard deviation increases as the margin of error increases.
The term margin of error is referred as the estimate of a small sample drawn from a relatively large population data.
Here the margin of error is usually governed by parameters such as standard deviation of population, sample size and desired confidence level.
Here we have given that for fixed population standard deviation and level of significance, the minimum sample size needed to guarantee a given margin of error ......... as the margin of error increases.
And we need to find the missing term in the statement.
Here let us consider that the following values are represented the given situation,
=> σ = Standard deviation for population
=> m = Margin of error
=> Z = Empirical value of Z-score at a given confidence level
Then the minimum sample size for a given confidence level is written as
=> (Z x σ)²/m²
Here from the above given formula it can be inferred that the minimum sample size is directly related to the population standard deviation. Therefore, the minimum sample size required would increase with the increase in population standard deviation.
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