A Survey of Mathematics with Applications (10th Edition) - Standalone book
A Survey of Mathematics with Applications (10th Edition) - Standalone book
10th Edition
ISBN: 9780134112107
Author: Allen R. Angel, Christine D. Abbott, Dennis Runde
Publisher: PEARSON
bartleby

Concept explainers

Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 …
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experime…
bartleby

Videos

Question
Book Icon
Chapter 7, Problem 29RE
To determine

To convert: The given quantity into tonnes.

Expert Solution & Answer
Check Mark

Want to see the full answer?

Check out a sample textbook solution
Blurred answer
Previous
Chapter 7, Problem 28RE
Next
Chapter 7, Problem 30RE
Students have asked these similar questions
: +0 1 R2X2 العنوان I need a detailed drawing with explanation L L 2) slots per pole per phase = 3/31 B = 180-60 msl Kd Kol, Sin (Info) Isin (6) sin(30) Sin (30) اذا ميريد شرح الكتب بس 0 بالفراغ 3) Cos (30) 0.866 4) Rotating 5) Synchronous speed, 120 x 50 6 50105 1000 S=1000-950 Loco mem 6. Copper losses: 5kw Rotor input loo kw 0.05 اذا ميريد شرح الكتب فقط look 7) rotov DC ined sove in peaper Pu+965 4 Which of the following is converge, and which diverge? Give reasons for your answers with details. When your answer then determine the convergence sum if possible. 111Σm=1 sin() Lake Which of the following is converge, and which diverge? Give reasons for your answers with details. When your answer then determine the convergence sum if possible. T TH M
い ined sove in beaper Anting. Pu+965 na lake an accident and lands at the bottom of the lake Q2// Find the volume of the region in first octant bounded by the coordinate planes and the plane passing through (1, 0, 0), (0, 2, 0), and (0, 0, 3). Q/Evaluate({ } } 3xze* dydzdx.
| Evaluate (3xze** dydzdx. ined sove in peaper +9198 PU+965 Lake Find the volume of th solid bounded above by the Cy 2=6-1 o the sides by the cylinder x+y=9, and below by the xy-plane

Chapter 7 Solutions

A Survey of Mathematics with Applications (10th Edition) - Standalone book

Ch. 7.1 - In Exercises 110, fill in the blanks with an...Ch. 7.1 - Prob. 2ECh. 7.1 - In Exercises 110, fill in the blanks with an...Ch. 7.1 - Prob. 4ECh. 7.1 - In Exercises 110, fill in the blanks with an...Ch. 7.1 - Prob. 6ECh. 7.1 - Prob. 7ECh. 7.1 - Prob. 8ECh. 7.1 - Prob. 9ECh. 7.1 - Prob. 10E
Ch. 7.1 - In Exercises 1116, match the given prefix with the...Ch. 7.1 - In Exercises 1116, match the given prefix with the...Ch. 7.1 - In Exercises 1116, match the given prefix with the...Ch. 7.1 - In Exercises 1116, match the given prefix with the...Ch. 7.1 - In Exercises 1116, match the given prefix with the...Ch. 7.1 - In Exercises 1116, match the given prefix with the...Ch. 7.1 - Complete the following. a. 1 hectogram = ________...Ch. 7.1 - Complete the following. a. 1 centiliter =...Ch. 7.1 - In Exercises 1923, without referring to any of the...Ch. 7.1 - Prob. 20ECh. 7.1 - In Exercises 1923, without referring to any of the...Ch. 7.1 - Prob. 22ECh. 7.1 - Prob. 23ECh. 7.1 - Prob. 24ECh. 7.1 - Maximum Mass In Exercises 25 and 26, use the photo...Ch. 7.1 - Prob. 26ECh. 7.1 - In Exercises 2732, fill in the missing values. 27....Ch. 7.1 - Prob. 28ECh. 7.1 - In Exercises 2732, fill in the missing values. 29....Ch. 7.1 - Prob. 30ECh. 7.1 - In Exercises 2732, fill in the missing values. 31....Ch. 7.1 - In Exercises 2732, fill in the missing values. 32....Ch. 7.1 - In Exercises 3338, convert the given unit to the...Ch. 7.1 - In Exercises 3338, convert the given unit to the...Ch. 7.1 - In Exercises 3338, convert the given unit to the...Ch. 7.1 - In Exercises 3338, convert the given unit to the...Ch. 7.1 - In Exercises 3338, convert the given unit to the...Ch. 7.1 - In Exercises 3338, convert the given unit to the...Ch. 7.1 - In Exercises 3946, use the following information...Ch. 7.1 - Prob. 40ECh. 7.1 - In Exercises 3946, use the following information...Ch. 7.1 - In Exercises 3946, use the following information...Ch. 7.1 - In Exercises 3946, use the following information...Ch. 7.1 - In Exercises 3946, use the following information...Ch. 7.1 - In Exercises 3946, use the following information...Ch. 7.1 - In Exercises 3946, use the following information...Ch. 7.1 - In Exercises 4752, arrange the quantities in order...Ch. 7.1 - In Exercises 4752, arrange the quantities in order...Ch. 7.1 - In Exercises 4752, arrange the quantities in order...Ch. 7.1 - In Exercises 4752, arrange the quantities in order...Ch. 7.1 - In Exercises 4752, arrange the quantities in order...Ch. 7.1 - In Exercises 4752, arrange the quantities in order...Ch. 7.1 - Walking Would you be walking faster if you walked...Ch. 7.1 - Who Ran Faster Jim ran 100 m, and Bob ran 100 yd...Ch. 7.1 - Water Removal One pump removes 1 da of water in 1...Ch. 7.1 - Balance If 5 kg ate placed on one side of a...Ch. 7.1 - Mount Fuji and Pikes Peak The most visited...Ch. 7.1 - 2014 Ford Mustang The 2014 Ford Mustang gets about...Ch. 7.1 - Calcium Tablets Sean lakes two 250-mg chewable...Ch. 7.1 - Framing a Painting A painting, including the...Ch. 7.1 - Liters of Soda A bottle of soda contains 360 m. a....Ch. 7.1 - Track and Field A high school has a 400-m oval...Ch. 7.1 - A Home Run A baseball diamond is a square whose...Ch. 7.1 - Prob. 64ECh. 7.1 - In Exercises 6568, fill in the blank to make a...Ch. 7.1 - Prob. 66ECh. 7.1 - Prob. 67ECh. 7.1 - Prob. 68ECh. 7.1 - Prob. 69ECh. 7.1 - Prob. 70ECh. 7.1 - Prob. 71ECh. 7.1 - Prob. 72ECh. 7.1 - Prob. 73ECh. 7.1 - Prob. 74ECh. 7.2 - In Exercises 110, fill in the blanks with an...Ch. 7.2 - In Exercises 110, fill in the blanks with an...Ch. 7.2 - In Exercises 110, fill in the blanks with an...Ch. 7.2 - In Exercises 110, fill in the blanks with an...Ch. 7.2 - In Exercises 110, fill in the blanks with an...Ch. 7.2 - Prob. 6ECh. 7.2 - Prob. 7ECh. 7.2 - Prob. 8ECh. 7.2 - Prob. 9ECh. 7.2 - Prob. 10ECh. 7.2 - In Exercises 1118, indicate the metric unit of...Ch. 7.2 - Prob. 12ECh. 7.2 - In Exercises 1118, indicate the metric unit of...Ch. 7.2 - Prob. 14ECh. 7.2 - Prob. 15ECh. 7.2 - Prob. 16ECh. 7.2 - In Exercises 1118, indicate the metric unit of...Ch. 7.2 - Prob. 18ECh. 7.2 - In Exercises 1924, choose the best answer. 19. The...Ch. 7.2 - In Exercises 1924, choose the best answer. 20. A...Ch. 7.2 - In Exercises 1924, choose the best answer. 21. The...Ch. 7.2 - Prob. 22ECh. 7.2 - In Exercises 1924, choose the best answer. 23. The...Ch. 7.2 - Prob. 24ECh. 7.2 - Prob. 25ECh. 7.2 - Prob. 26ECh. 7.2 - In Exercises 2530, (a) estimate the item in metric...Ch. 7.2 - Prob. 28ECh. 7.2 - Prob. 29ECh. 7.2 - Prob. 30ECh. 7.2 - Prob. 31ECh. 7.2 - Prob. 32ECh. 7.2 - Prob. 33ECh. 7.2 - In Exercises 3136, indicate the metric unit of...Ch. 7.2 - Prob. 35ECh. 7.2 - Prob. 36ECh. 7.2 - In Exercises 3742, choose the best answer. 37. A...Ch. 7.2 - In Exercises 3742, choose the best answer. 38. The...Ch. 7.2 - In Exercises 3742, choose the best answer 39. The...Ch. 7.2 - In Exercises 3742, choose the best answer. 40. The...Ch. 7.2 - In Exercises 3742, choose the best answer 41. The...Ch. 7.2 - In Exercises 3742, choose the best answer 42. The...Ch. 7.2 - Prob. 43ECh. 7.2 - In Exercises 4348, (a) estimate the area of the...Ch. 7.2 - Prob. 45ECh. 7.2 - Prob. 46ECh. 7.2 - Prob. 47ECh. 7.2 - In Exercises 4348, (a) estimate the area of the...Ch. 7.2 - Prob. 49ECh. 7.2 - Prob. 50ECh. 7.2 - Prob. 51ECh. 7.2 - In Exercises 4956, determine the metric unit that...Ch. 7.2 - Prob. 53ECh. 7.2 - Prob. 54ECh. 7.2 - In Exercises 4956, determine the metric unit that...Ch. 7.2 - In Exercises 4956, determine the metric unit that...Ch. 7.2 - In Exercises 5764, choose the best answer to...Ch. 7.2 - In Exercises 5764, choose the best answer to...Ch. 7.2 - In Exercises 5764, choose the best answer to...Ch. 7.2 - In Exercises 5764, choose the best answer to...Ch. 7.2 - In Exercises 5764, choose the best answer to...Ch. 7.2 - In Exercises 5764, choose the best answer to...Ch. 7.2 - In Exercises 5764, choose the best answer to...Ch. 7.2 - Prob. 64ECh. 7.2 - Prob. 65ECh. 7.2 - Prob. 66ECh. 7.2 - Prob. 67ECh. 7.2 - In Exercises 6568, (a) estimate the volume in...Ch. 7.2 - In Exercises 6972, select the best answer. 69. One...Ch. 7.2 - In Exercises 6972, select the best answer. 70. One...Ch. 7.2 - In Exercises 6972, select the best answer. 71. One...Ch. 7.2 - Prob. 72ECh. 7.2 - Prob. 75ECh. 7.2 - Prob. 76ECh. 7.2 - Prob. 77ECh. 7.2 - Prob. 78ECh. 7.2 - Prob. 79ECh. 7.2 - Prob. 80ECh. 7.2 - In Exercises 7386, when appropriate, use the key...Ch. 7.2 - Prob. 82ECh. 7.2 - Prob. 83ECh. 7.2 - Prob. 84ECh. 7.2 - Prob. 85ECh. 7.2 - Prob. 86ECh. 7.2 - Prob. 87ECh. 7.2 - Prob. 88ECh. 7.2 - Prob. 89ECh. 7.2 - Prob. 90ECh. 7.2 - Prob. 91ECh. 7.2 - Prob. 92ECh. 7.2 - In Exercises 9396, fill in the blank. 93. 501 cm3...Ch. 7.2 - In Exercises 9396, fill in the blank. 94. 435 cm3...Ch. 7.2 - In Exercises 9396, fill in the blank. 95. 263 k =...Ch. 7.2 - In Exercises 9396, fill in the blank. 96. 4.2 =...Ch. 7.2 - Glacier In Exercises 97 and 98, assume that a part...Ch. 7.2 - Glacier In Exercises 97 and 98, assume that a part...Ch. 7.2 - Challenge Problems/Group Activities In Exercises...Ch. 7.2 - Challenge Problems/Group Activities In Exercises...Ch. 7.2 - Prob. 101ECh. 7.2 - Prob. 102ECh. 7.3 - In Exercises 18, fill in the blanks with an...Ch. 7.3 - In Exercises 18, fill in the blanks with an...Ch. 7.3 - In Exercises 18, fill in the blanks with an...Ch. 7.3 - In Exercises 18, fill in the blanks with an...Ch. 7.3 - In Exercises 18, fill in the blanks with an...Ch. 7.3 - In Exercises 18, fill in the blanks with an...Ch. 7.3 - In Exercises 18, fill in the blanks with an...Ch. 7.3 - In Exercises 18, fill in the blanks with an...Ch. 7.3 - In Exercises 918, indicate the metric unit of...Ch. 7.3 - In Exercises 918, indicate the metric unit of...Ch. 7.3 - In Exercises 918, indicate the metric unit of...Ch. 7.3 - In Exercises 918, indicate the metric unit of...Ch. 7.3 - In Exercises 918, indicate the metric unit of...Ch. 7.3 - In Exercises 918, indicate the metric unit of...Ch. 7.3 - In Exercises 918, indicate the metric unit of...Ch. 7.3 - In Exercises 918, indicate the metric unit of...Ch. 7.3 - In Exercises 918, indicate the metric unit of...Ch. 7.3 - In Exercises 918, indicate the metric unit of...Ch. 7.3 - In Exercises 1924, select the best answer. 19. The...Ch. 7.3 - In Exercises 1924, select the best answer. 20. The...Ch. 7.3 - In Exercises 1924, select the best answer. 21. The...Ch. 7.3 - In Exercises 1924, select the best answer. 22. The...Ch. 7.3 - In Exercises 1924, select the best answer. 23. The...Ch. 7.3 - In Exercises 1924, select the best answer. 24. The...Ch. 7.3 - In Exercises 2528, estimate the mass of the item....Ch. 7.3 - In Exercises 2528, estimate the mass of the item....Ch. 7.3 - In Exercises 2528, estimate the mass of the item....Ch. 7.3 - In Exercises 2528, estimate the mass of the item....Ch. 7.3 - In Exercises 2936, choose the best answer. Use...Ch. 7.3 - In Exercises 2936, choose the best answer. Use...Ch. 7.3 - In Exercises 2936, choose the best answer. Use...Ch. 7.3 - In Exercises 2936, choose the best answer. Use...Ch. 7.3 - In Exercises 2936, choose the best answer. Use...Ch. 7.3 - In Exercises 2936, choose the best answer. Use...Ch. 7.3 - In Exercises 2936, choose the best answer. Use...Ch. 7.3 - In Exercises 2936, choose the best answer. Use...Ch. 7.3 - In Exercises 3750, convert each temperature as...Ch. 7.3 - In Exercises 3750, convert each temperature as...Ch. 7.3 - In Exercises 3750, convert each temperature as...Ch. 7.3 - In Exercises 3750, convert each temperature as...Ch. 7.3 - In Exercises 3750, convert each temperature as...Ch. 7.3 - In Exercises 3750, convert each temperature as...Ch. 7.3 - In Exercises 3750, convert each temperature as...Ch. 7.3 - In Exercises 3750, convert each temperature as...Ch. 7.3 - In Exercises 3750, convert each temperature as...Ch. 7.3 - Prob. 46ECh. 7.3 - Prob. 47ECh. 7.3 - Prob. 48ECh. 7.3 - Prob. 49ECh. 7.3 - Prob. 50ECh. 7.3 - Prob. 51ECh. 7.3 - Prob. 52ECh. 7.3 - Prob. 53ECh. 7.3 - Prob. 54ECh. 7.3 - Prob. 55ECh. 7.3 - Prob. 56ECh. 7.3 - Prob. 57ECh. 7.3 - Prob. 58ECh. 7.3 - Curry As shown in the photo, curry being sold at...Ch. 7.3 - Prob. 60ECh. 7.3 - Prob. 61ECh. 7.3 - Prob. 62ECh. 7.3 - Prob. 63ECh. 7.3 - Prob. 64ECh. 7.3 - Prob. 65ECh. 7.3 - Prob. 66ECh. 7.3 - Prob. 67ECh. 7.3 - Prob. 68ECh. 7.3 - Prob. 69ECh. 7.3 - Fish Tank A rectangular fish tank is 1 yd long by...Ch. 7.3 - Prob. 71ECh. 7.3 - Prob. 72ECh. 7.4 - In Exercises 110, fill in the blanks with an...Ch. 7.4 - In Exercises 110, fill in the blanks with an...Ch. 7.4 - In Exercises 110, fill in the blanks with aft...Ch. 7.4 - In Exercises 110, fill in the blanks with an...Ch. 7.4 - In Exercises 110, fill in the blanks with an...Ch. 7.4 - In Exercises 110, fill in the blanks with an...Ch. 7.4 - In Exercises 110, fill in the blanks with an...Ch. 7.4 - In Exercises 110, fill in the blanks with an...Ch. 7.4 - In Exercises 110, fill in the blanks with an...Ch. 7.4 - In Exercises 110, fill in the blanks with an...Ch. 7.4 - In Exercises 1126, convert the quantity to the...Ch. 7.4 - In Exercises 1126, convert the quantity to the...Ch. 7.4 - In Exercises 1126, convert the quantity to the...Ch. 7.4 - In Exercises 1126, convert the quantity to the...Ch. 7.4 - In Exercises 1126, convert the quantity to the...Ch. 7.4 - In Exercises 1126, convert the quantity to the...Ch. 7.4 - In Exercises 1126, convert the quantity to the...Ch. 7.4 - In Exercises 1126, convert the quantity to the...Ch. 7.4 - In Exercises 1126, convert the quantity to the...Ch. 7.4 - In Exercises 1126, convert the quantity to the...Ch. 7.4 - In Exercises 1126, convert the quantity to the...Ch. 7.4 - In Exercises 1126, convert the quantity to the...Ch. 7.4 - In Exercises 1126, convert the quantity to the...Ch. 7.4 - In Exercises 1126, convert the quantity to the...Ch. 7.4 - In Exercises 1126, convert the quantity to the...Ch. 7.4 - In Exercises 1126, convert the quantity to the...Ch. 7.4 - In Exercises 2730, use the part of the scorecard...Ch. 7.4 - In Exercises 2730, use the part of the scorecard...Ch. 7.4 - In Exercises 2730, use the part of the scorecard...Ch. 7.4 - In Exercises 2730, use the part of the scorecard...Ch. 7.4 - In Exercises 3159, when necessary round your...Ch. 7.4 - Prob. 32ECh. 7.4 - In Exercises 3159, when necessary round your...Ch. 7.4 - In Exercises 3159, when necessary round your...Ch. 7.4 - In Exercises 3159, when necessary round your...Ch. 7.4 - Prob. 36ECh. 7.4 - Prob. 37ECh. 7.4 - In Exercises 3159, when necessary round your...Ch. 7.4 - Prob. 39ECh. 7.4 - Prob. 40ECh. 7.4 - Prob. 41ECh. 7.4 - Prob. 42ECh. 7.4 - Prob. 43ECh. 7.4 - Prob. 44ECh. 7.4 - Prob. 45ECh. 7.4 - In Exercises 3159, when necessary round your...Ch. 7.4 - Prob. 47ECh. 7.4 - Prob. 48ECh. 7.4 - In Exercises 3159, when necessary round your...Ch. 7.4 - Prob. 50ECh. 7.4 - In Exercises 3159, when necessary round your...Ch. 7.4 - Prob. 52ECh. 7.4 - Prob. 53ECh. 7.4 - Prob. 54ECh. 7.4 - Prob. 55ECh. 7.4 - Prob. 56ECh. 7.4 - Prob. 57ECh. 7.4 - In Exercises 3159, when necessary round your...Ch. 7.4 - Prob. 59ECh. 7.4 - Prob. 60ECh. 7.4 - Prob. 61ECh. 7.4 - Prob. 62ECh. 7.4 - Prob. 63ECh. 7 - In Exercises 16, indicate the meaning of the...Ch. 7 - In Exercises 16, indicate the meaning of the...Ch. 7 - In Exercises 16, indicate the meaning of the...Ch. 7 - In Exercises 16, indicate the meaning of the...Ch. 7 - In Exercises 16, indicate the meaning of the...Ch. 7 - In Exercises 16, indicate the meaning of the...Ch. 7 - In Exercises 712, change the given quantity to the...Ch. 7 - In Exercises 712, change the given quantity to the...Ch. 7 - In Exercises 712, change the given quantity to the...Ch. 7 - In Exercises 712, change the given quantity to the...Ch. 7 - In Exercises 712, change the given quantity to the...Ch. 7 - In Exercises 712, change the given quantity to the...Ch. 7 - In Exercises 13 and 14, arrange the quantities...Ch. 7 - In Exercises 13 and 14, arrange the quantities...Ch. 7 - Prob. 15RECh. 7 - Prob. 16RECh. 7 - Prob. 17RECh. 7 - Prob. 18RECh. 7 - Prob. 19RECh. 7 - Prob. 20RECh. 7 - Prob. 23RECh. 7 - Prob. 24RECh. 7 - Prob. 25RECh. 7 - Prob. 26RECh. 7 - Prob. 27RECh. 7 - Prob. 28RECh. 7 - Prob. 29RECh. 7 - Prob. 30RECh. 7 - Prob. 31RECh. 7 - Prob. 32RECh. 7 - Prob. 33RECh. 7 - Prob. 34RECh. 7 - Prob. 37RECh. 7 - Prob. 38RECh. 7 - Prob. 39RECh. 7 - A square kilometer is a square with length and...Ch. 7 - Prob. 41RECh. 7 - Prob. 42RECh. 7 - Prob. 43RECh. 7 - Prob. 44RECh. 7 - Prob. 45RECh. 7 - Prob. 46RECh. 7 - Prob. 47RECh. 7 - Prob. 48RECh. 7 - Prob. 49RECh. 7 - Prob. 50RECh. 7 - Prob. 51RECh. 7 - Prob. 52RECh. 7 - Prob. 53RECh. 7 - Prob. 54RECh. 7 - Prob. 55RECh. 7 - Prob. 56RECh. 7 - Prob. 57RECh. 7 - Prob. 1TCh. 7 - Prob. 2TCh. 7 - Prob. 3TCh. 7 - Prob. 4TCh. 7 - Prob. 5TCh. 7 - Prob. 6TCh. 7 - Prob. 7TCh. 7 - Prob. 8TCh. 7 - Prob. 9TCh. 7 - Prob. 10TCh. 7 - Prob. 11TCh. 7 - Prob. 12TCh. 7 - Prob. 13TCh. 7 - Prob. 14TCh. 7 - Prob. 15TCh. 7 - Prob. 16TCh. 7 - Prob. 17TCh. 7 - At the Aquarium A rectangular fish tank at an...Ch. 7 - Cost of Paint The first coat of paint for the...Ch. 7 - Prob. 20T
Knowledge Booster
Background pattern image
Math
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
Algebra: Structure And Method, Book 1
Algebra
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:McDougal Littell
Text book image
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Text book image
Elementary Algebra
Algebra
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:OpenStax - Rice University
Text book image
Mathematics For Machine Technology
Advanced Math
ISBN:9781337798310
Author:Peterson, John.
Publisher:Cengage Learning,
SEE MORE TEXTBOOKS
Use of ALGEBRA in REAL LIFE; Author: Fast and Easy Maths !;https://www.youtube.com/watch?v=9_PbWFpvkDc;License: Standard YouTube License, CC-BY
Compound Interest Formula Explained, Investment, Monthly & Continuously, Word Problems, Algebra; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=P182Abv3fOk;License: Standard YouTube License, CC-BY
Applications of Algebra (Digit, Age, Work, Clock, Mixture and Rate Problems); Author: EngineerProf PH;https://www.youtube.com/watch?v=Y8aJ_wYCS2g;License: Standard YouTube License, CC-BY