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Andy solves Catriona Agg's (née Shearer's) geometry challenge and shows that algebra leads into geometry.
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doge.gov/savings Gallup Blog
February 27, 2025 WASHINGTON, D.C. -- When Gallup began tracking Americans’ views of the news media in the early 1970s, attitudes were overwhelmingly positive, but public confidence in the Fourth Estate has collapsed over the past three decades. President Donald Trump’s press secretary recently cited these data as a reason behind the administration’s decision to reserve a seat at White House press briefings for nontraditional “new media,” such as “podcasts, blogs, social media and other independent outlets.” … https://news.gallup.com/opinion/gallup/657239/five-key-insights-americans-views-news-media.aspx There are six trigonometric functions: sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc). Trig is an extension of geometry. A small number of trig questions are on the SAT: most of it is basic math, algebra, and geometry.
Secant C sounds like seeking C. "I'm seeking C" would mean "I'm looking to see". What does the wearer not know? Maybe he's saying that he doesn't know everything. Overall, I think that math education has improved, and the ad is true. Without calculators, there are six un-skippable steps.
Remember, "sum" is represented by uppercase Greek letter "Sigma" (Σ). Quickly add -1, -4, and -2, which is -7, and subtract from 2.
 courtesy of allaboutwork.org 2025
coaches Evgenia Shishkova and her husband Vadim Naumov Inna Volyanskaya skaters Spencer Lane (16) and his mother Christine Lane Jinna Han (13) and her mother Jin Han -The discriminant, 197, is not a perfect square, which is why the quadratic equation cannot be factored. Memorize the quadratic formula for the SAT.
-It only gives these geometric formulas: area and circumference of circle; area of rectangle and triangle; Pythagorean Theorem; properties of Isosceles triangle and 30, 60, 90 degree triangles; volume of rectangular solid, cylinder, sphere, cone, and pyramid. -A practical use of the quadratic equation would be designing a new sports bike and wanting to make a profit. Sample equation: P squared – 460P + 42000 = 0 “If you know the enemy and know yourself, you need not fear the result of a hundred battles. If you know yourself but not the enemy, for every victory gained you will also suffer a defeat. If you know neither the enemy nor yourself, you will succumb in every battle.” General Sun Tzu (544 - 496 BC), The Art of War
BRICS is an intergovernmental organization comprising nine countries: Brazil, Russia, India, China, South Africa, plus Iran, Egypt, Ethiopia, and the United Arab Emirates. BRICS is a polyhedron. In geometry, a polyhedron is a solid figure with many faces, typically more than six. It is the Argentinian pope's favorite shape. “The worst thing you can possibly do in a deal is seem desperate to make it. That makes the other guy smell blood, and then you’re dead. The best thing you can do is deal from strength, and leverage is the biggest strength you can have. Leverage is having something the other guy wants. Or better yet, needs. Or best of all, simply can’t do without.” Trump (1946- ), The Art of the Deal.
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“When did the attempted destruction of this staircase begin? Many point to Vatican II as the culprit." … “Was this the beginning? “It does seem that there has been a systematic attempt at the demolition of what had been considered “unreformable” before Vatican II. "And yet how have those responsible attempted to destroy what is eternal? “They have done this by attempting to confine what was of heaven to an earthly definition, and this is done most effectively by attempting to substitute man-made materials for what was given from heaven. “However, when one end rests on earth and one end rests in heaven, as does the Church, then man cannot destroy it. “What he can do, though, is obscure the Truth by offering the 'ape of the Church' in its place." ... Bishop Joseph Strickland, Dec. 14, 2024 https://bishopjosephstrickland.substack.com/p/building-a-staircase St. Joseph, stepfather to Jesus, was a carpenter. Mine was named Joseph. He was a gardener. The Miraculous Staircase was built between 1877 and 1881:
What is a helix? a curve that is formed by a point rotating around a straight line and moving forward, or upward, in a direction parallel to that line
The word "helix" comes from the Greek ἕλιξ (hélix), which means "twisted" or "curved". It is pronounced "hee-lix". The plural of "helix" is "helices", hee-li-seez. 12 Days of Christmas Wed, Dec 25, 2024 – Sun, Jan 5, 2025 Number of legs 1 Partridge 2 legs 1 x 2 = 2 2 Turtle doves 2 legs 2 x 2 = 4 3 French hens 2 legs 3 x 2 = 6 4 Calling birds 2 legs 4 x 2 = 8 5 Golden rings 6 Geese a-laying 7 Swans a-swimming 8 Maids a-milking (not standing on their legs) 9 Dancing Ladies 2 legs 9 x 2 = 18 10 Leaping Lords 2 legs 10 x 2 = 20 11 Pipers 2 legs 11 x 2 = 22 12 Drummers 2 legs 12 x 2 = 24 Here comes the clever mathematical insight. We know the total number of legs in each verse (2, 4, 6, 8, 0, 12, 14, 48, 18, 20, 22, 24) and so just need to work out how many times we sing each one. Partridge: 12 x 2 = 24 Turtle doves: 11 x 4 = 44 French hens: 10 x 6 = 60 Calling birds: 9 x 8 = 72 Rings: 8 x 0 = 0 Geese: 7 x 12 = 84 Swans: 6 x 14 = 84 Maids: 5 x 48 = 240 Ladies: 4 x 18 = 72 Lords: 3 x 20 = 60 Pipers: 2 x 22 = 44 Drummers 1 x 24 = 24 TOTAL = 808 Dr. Tom Crawford Fellow by Special Election in Mathematics St Edmund Hall, University of Oxford meat, milk, and eggs
Wikipedia In visual arts, music, and other media, minimalism in the modern sense was an art movement that began in the post-war era in Western art and is most strongly associated with American visual arts in the 1960s and early 1970s. Every one of the churches is a Novus Ordo (New Order), or New World Order. #5 A pentagram has five sides and has been used in various cultures throughout history as a symbol often associated with magic. On a piece of paper, draw a typical star shape starting at the bottom left point, and five sides, or straight lines, will unfold. The inverted pentagram is broadly used in Satanism, sometimes depicted with the goat's head of Baphomet, as popularized by the "Church of Satan" since 1968. #4 Breuer was born in Pécs, Hungary, to a Jewish family. #1 See Latin Mass in History, 1944 Hollywood. That provides a view of the interior of St. Viviana Cathedral. Bibiana, also known as Viviana, Vivian, or Vibiana, was born in the 4th century in Rome, the daughter of Saint Flavian and Dafrosa of Acquapendente. [real town of 5,300 today] #8 The cathedral in San Francisco did not replace Old St Mary's. The Cathedral of Saint Mary of the Assumption at the corner of Van Ness and O'Farrell served from when it was completed in 1891 to 1962 when it was destroyed by fire. The Romanesque Revival structure was designed by the Chicago architectural firm of Egan and Prindeville.  Converting between miles and kilometers?
It can be done if you know the Fibonacci sequence. You might know this, or not: The ratio of successive Fibonacci terms F (subscript n + 1)/F (subscript n) tends to the golden mean. ϕ ≈ 1.618 This happens quickly: 3/2 = 1.5 5/3 = 1.667 8/5 = 1.6 It is about 1.61 kilometers per mile. So, knowing the first few terms of the sequence, converting from kilometers to miles is a snap: go to the adjacent Fibonacci number. If you’re converting kilometers to miles, go down; if you’re converting miles to kilometers go up. For example, what is 50 miles in kilometers? Maybe you don’t know the Fibonacci sequence up to F₁₀ = 55, but you could write 50 = 5×10, and 5 is a Fibonacci number. So, this method estimates 80 kilometers. "Visible attributes" refer to the characteristics or properties of a shape or object, which can include visual aspects like the number of sides and vertices and mathematical properties like angle measurements and side lengths, allowing us to describe and categorize different geometric figures based on their defining features, what makes one shape distinct from another. "Invisible attributes" refer to the underlying, often unspoken concepts and properties that are inherent to mathematics, like its inherent order, logic, beauty, consistency, and the concept of infinity, which are not always explicitly stated but are fundamental to how we understand and use math. Fr. William MacGillivray was ordained in 2019 at St. Thomas Aquinas Seminary, Dillwyn, Virginia, and spent his first years of priesthood teaching high school boys at Our Lady of Mount Carmel Academy in New Hamburg, Ontario, Canada. He teaches at École Sainte-Famille (Holy Family School) in Quebec as of 2022.
-watch https://ecolestefamille.ca/visite-virtuelle SSPX https://sspx.ca/en/list-sspx-chapels-4 FSSP https://www.fssp.ca/apostolates “Two Australian mathematicians have called into question an adage, that if given an infinite amount of time, a monkey pressing keys on a typewriter would eventually write the complete works of William Shakespeare.
“Known as the ‘infinite monkey theorem’, the thought-experiment has long been used to explain the principles of probability and randomness. “However, a new peer-reviewed study led by Sydney-based researchers Stephen Woodcock and Jay Falletta has found that the time it would take for a typing monkey to replicate Shakespeare's plays, sonnets, and poems would be longer than the lifespan of our universe. “Which means that while mathematically true, the theorem is ‘misleading’, they say.” https://www.bbc.com/news/articles/c748kmvwyv9o Bill sent me the link. mathematical principles Fibonacci Sequence and Natural Law Line of Aplomb; Central Axis, opposition about the vertical; Spirals; Arcs and weight transfer; Aerial plane; Spatial plane I have noticed the difference between contemporary dancers and those from the past. As the creator says, "The goal is not a six-pack." My purpose is not to endorse anything: I have no expertise. Inevitably, the piano led me to classical music, and that led to classical ballet videos.
Social Security benefits and Supplemental Security Income (SSI) payments for more than 72.5 million Americans out of 346 million (21%) will increase by 2.5% in 2025. This is the annual cost-of-living adjustment (COLA).
www.ssa.gov/policy/docs/quickfacts/stat_snapshot/
For the future, it is important that the USA has a steady workforce. Otherwise, social security will fail. Our Father Evaristus E., FSSP, is over 65 and still at it. He says Mass and hears confessions multiple times a day for us working folk. He is named after St. Evaristus, 5th pope (papa), born in Bethlehem, died in Rome. It is probable that St. John died during his reign, ending the Apostolic Age. This woman has my respect. She worked 400 hours. Fishing line? You don't understand. 400/24 ≈ 16.66, or 16 days and 16 hours with no rest, but, of course, the work was stretched out over many days. Did she have help? I don't know. The hands look the same from frame to frame. My mom was self-taught, but I wouldn't watch the movie even if the story were re-written. It is soft mush to the core.
One geometric arrangement popular in Catholic art is called the quincunx, an arrangement of five equivalent shapes that have four arranged symmetrically around the fifth which is centrally placed. The five dots on dice are in a quincunx shape. Quincunx is the geometrical equivalent of the traditional image of Christ in Majesty. Around the central image of the enthroned Christ are four figures representing the four evangelists carrying the Word to the four corners of the world. Cunx, from uncia, means 1/12. Decussate (Latin origin) as an adjective means shaped like an X.  He is the creator of watch Anim v Math. I found out today that Becker's video is a YT sensation. A young Oxford University mathematician called it a masterpiece of math, art, and animation. However, he did not see what I saw. He described the white disk as a gamma function, not as communion.
In December 2023, Becker's YT channel had 27.5 million subscribers and about 6 billion video views. I wonder how many understood the advanced math at the end, which I generally understood, not how to write it but how to read it, like Latin. I don't know how my little genius found the video. Maybe his father did. My co-writer found a great way to teach math at any level. In 14 beautiful minutes, you go from basic math to advanced calculus. For help, see fundamental theorem.
Does anyone else recognize the bright white disc our little man enters? Then it disappears. Does the disc resemble anything? (Hint: the host dissolves in about 15 minutes. I in you, and you in me. The sum looks like a bishop.)
Why is the square root of a negative number undefined? Any number squared will produce a positive number, so there is no true square root of a negative number. Square roots of negative numbers can only be determined using the imaginary number called an “iota”, or i.
Complex numbers are the numbers that are expressed in the form of a + ib, where a and b are real numbers and i is an imaginary number called “iota”. The value of i = (√-1). For example, 2 + 3i is a complex number, where 2 is a real number and 3i is an imaginary number.
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