How much would an order of 1 slice of cheese pizza and 3 sodas cost? A. $3.25 B. $5.25 C. $7.75 D. $7.25. star. 4/5. heart. 47. verified. Verified answer. Which statements are true regarding undefinable terms in geometry? Select two options. A point's location on the coordinate plane is indicated by an ordered pair, (x, y). A point has one ...Sometimes the need arises to change a photo or image file saved in the .jpg format to the PDF digital document format. With the right software, this conversion can be made quickly ...Describe how you would simplify the given expression. (20x^5y^2 / 5x^-3y^7) ^-3 , x=/= 0, y =/= 0. Simplify inside the parentheses by dividing coefficients, subtracting the exponents on like bases, and raising the resulting expression to the -3 power. Then, write bases with positive exponents. Raise the numerator and denominator to the -3 power ...All real numbers x, except x = 0. Identify the vertical asymptote of the function. f (x)= x^2 + 1/ 3 (x-8) 8. What are the vertical asymptotes of f (x)= 10/x^2 - 1. 1, -1. Wavelength varies inversely with frequency. Let k be the product of wavelength and frequency. Complete the table using the inverse variation relationship.Which numbers are solutions to the inequality 2x - 1 > x + 2? Check all of the boxes that apply. B 4,5. If x < 5 and x > c, give a value of c such that there are no solutions to the compound inequality. Explain why there are no solutions. The value of c could be 5 or any number greater than 5. Identify the graph of the inequality 2(2x - 1) + 7 < 13 or -2x + 5 …AirMeet is a platform which allows users to host virtual conferences, work meetings, and chats. It promises to do this without a lot of complicated setup. AirMeet, the online event...A rational expression is an expression of the form p(x) q(x), where p and q are polynomials and q ≠ 0. Remember, division by 0 is undefined. Here are some examples of rational expressions: −1342 7y 8z 5x+2 x2−7 4x2+3x−1 2x−8. Notice that the first rational expression listed above, −1342, is just a fraction. Since a constant is a ...Excluded value (s): 0, 4. State the excluded values for this expression: 1/x (x-4) -3/ (x + 9) Simplify the expression: 1/ (x + 9) ÷ (6 - x)/ (3x - 18) 8x + 7 - 5/2x. Simplify the expression: (16x² + 14x - 5) ÷ (2x) Study with Quizlet and memorize flashcards containing terms like Excluded Value (s) = -2, 2, (x+9)/ (x+1), 2/7 and more.Using it's concept, it is found that the vertical asymptotes of the function are given by:. x = -1. x = 4. Vertical asymptote: The vertical asymptotes of a function f(x) are the values of x which are outside the domain of the function.; In a fraction, it is the roots of the denominator.; In this problem, the function is:. The denominator is , which is a quadratic …Rewrite i82 i 82 as (i4)20i2 ( i 4) 20 i 2. Tap for more steps... (i4)20i2 ( i 4) 20 i 2. Rewrite i4 i 4 as 1 1. Tap for more steps... 120i2 1 20 i 2. One to any power is one. 1i2 1 i 2. Multiply i2 i 2 by 1 1.Study with Quizlet and memorize flashcards containing terms like Which graph shows the solution to the equation 4x - 3 = 8?, To solve e4 - 3x = mr001-1.jpgx + 9 by graphing, … Example 1.7.1: Simplifying Rational Expressions. Simplify x2 − 9 x2 + 4x + 3. Solution. (x + 3)(x − 3) (x + 3)(x + 1) Factor the numerator and the denominator x − 3 x + 1 Cancel common factor (x + 3) Analysis. We can cancel the common factor because any expression divided by itself is equal to 1. All real numbers x, except x = 0. Identify the vertical asymptote of the function. f (x)= x^2 + 1/ 3 (x-8) 8. What are the vertical asymptotes of f (x)= 10/x^2 - 1. 1, -1. Wavelength varies inversely with frequency. Let k be the product of wavelength and frequency. Complete the table using the inverse variation relationship.Personal 1-on-1 Live Tutoring with our dedicated Certified Experts. dot. Rich Study materials making learning fun with 10k+ Games, Videos and Worksheets ... Simplify the expression: (–1 + 4n)(–3) = The question is in the image. Question can be found in the image. chevron left. Previous. chevron right. Next. Ask your question. plus.In other words, it does not fall under the classification of being even or odd. Examples of How to Determine Algebraically if a Function is Even, Odd, or Neither. Example 1: Determine algebraically whether the given function is even, odd, or neither. [latex]f\left( x \right) = 2{x^2} – 3[/latex] I start with the given function [latex]f\left ...Step by Step Solution. Reformatting the input : Changes made to your input should not affect the solution: (1): "g4" was replaced by "g^4". 1 more similar replacement (s). (2): Dot was discarded near "1.j". Step 1 : Trying to factor as a Difference of Squares : 1.1 Factoring: es-jpg4.To simplify this expression, first recognize that dividing by a fraction is the same as multiplying by its reciprocal. Thus, the quotient can be rewritten as (t2-36)/3 × (9t)/ (t2+6t). Simplify the expression by factoring where possible: t2 - 36 can be factored into (t + 6) (t - 6) because it is a difference of squares.Using it's concept, it is found that the vertical asymptotes of the function are given by:. x = -1. x = 4. Vertical asymptote: The vertical asymptotes of a function f(x) are the values of x which are outside the domain of the function.; In a fraction, it is the roots of the denominator.; In this problem, the function is:. The denominator is , which is a quadratic …Jan 11, 2019 · When deriving the Law of Cosines, the equation h^2=a^2-x^2 is created using the Pythagorean theorem. Use substitution to replace h2 in the equation below and then simplify. c^2=h^2+b^2-2bx+x^2 Solvo is a new mobile app that wants to make it easier to invest in cryptocurrencies and cryptocurrency-related financial products. Meet Solvo, a new mobile app that wants to make ...May 29, 2020 · Hence, the order of steps needed to simplify this expression is. Step 1. Step4. Step3. Step2. What is the simplification? Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving. Here given expression is. Step 1:-Simplify the parenthesis. Step 2:- Evaluate exponents Step 1 - Write the parent function. Step 2 - Draw the graph of the parent function . Step 3 - Now, translate the graph of the parent function towards the right by 6 units. So, the graph obtained is the graph of . Step 4 - Now, stretch the graph of the function obtained in the above step by 3 units. So, the graph obtained is the graph of .5. Compare and contrast the absolute value of a real number to that of a complex number. imaginary number complex plane real number negative always positive. We have an …Example 7.1.3. Determine the domain: x4 + x3 − 2x2 − x x2 − 1. Solution: To find the restrictions to the domain, set the denominator equal to 0 and solve: x2 − 1 = 0 (x + 1)(x − 1) = 0. x + 1 = 0 or x − 1 = 0 x = − 1 x = 1. These two values cause the denominator to be 0. Hence they are restricted from the domain.A. B. Study with Quizlet and memorize flashcards containing terms like To multiply two fractions, multiply the numerator by the ____ and the denominator by the ____, Find the products in simplest form. 8/21 x 5/16 12/25 x 15/16, To divide two fractions, first rewrite the problem as the dividend times the ____ of the divisor. and more.Although even roots of negative numbers cannot be solved with just real numbers, odd roots are possible. For example:(-3) (-3) (-3)=cbrt (-27)Even though you are multiplying a negative number, it is possible to obtain a negative answer because you are multiplying it with itself an odd number of times. Let's walk through it a little more slowly ...A. B. Study with Quizlet and memorize flashcards containing terms like To multiply two fractions, multiply the numerator by the ____ and the denominator by the ____, Find the products in simplest form. 8/21 x 5/16 12/25 x 15/16, To divide two fractions, first rewrite the problem as the dividend times the ____ of the divisor. and more.Study with Quizlet and memorize flashcards containing terms like Use the formula for radian measure to calculate the measure of a central angle in a circle having a radius of 12 cm and intercepting an arc of 21 cm. es001-1.jpg The angle has a measure of _____ radians., Convert 1 radian to degrees. Round your answer to the nearest degree., …One to any power is one. Multiply i i by 1 1. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.Select all of the expressions that are equal to the product of 10x^9 and (60x^-6)^-1. Assume x ≠ 0. A: 10x^9/60x^-6. C: x^15/6. Javier simplified the expression below. Find and describe the three mistakes he made. 1) Javier did not raise the coefficients to the third power. 2) when Javier raised x to the third power, he wrote that (x^1)^3=x^4 ...The formula es001-1.jpg gives the time it takes in seconds, T, for a pendulum to make one full swing back and forth, where L is the length of the pendulum, in feet. To the nearest foot, what is the length of a pendulum that makes one full swing in 1.9 s? Use 3.14 fores001-2.jpg .richard bought 3 slices of cheese pizza and 2 sodas for $8.75. Jordan bought 2 slices of cheese pizza and 4 sodas for $8.50. How much would an order of 1 slice of cheese pizza and 3 sodas cost? A. $3.25 B. $5.25 C. $7.75 D. $7.25 Algebra 2 Module 1 Review. How can the order of operations be used to simplify expressions? Click the card to flip 👆. By providing a set of rules on how to follow a foolproof order of operations when evaluating expressions, ensuring that everyone gets to the same answer once the expression is simplified. Click the card to flip 👆. Calculus. Calculus questions and answers. A town predicts that its population will double in (e^ (ln10))/ (2lne) years. Simplify the expression. In how many years will the population of the town double?5 PRACTICE PROBLEM. Simplify the following expression and write the answer in standard form: 5/ (3 + i) (1 - i) 6 PRACTICE PROBLEM. Evaluate the following expression for x = 2i: (x2 + 12)/ (3 - x)y to the 12th power should have been written as the cube of y to the 4th power, so that the index and the exponent are the same. The cube root of y to the 12th power is y to the 4th power.Final answer: The enthalpy change (ΔHrxn) for the reaction NH3(g) + HCl(g) → NH4Cl(s) is calculated by subtracting the sum of the standard enthalpies of formation of the reactants from the standard enthalpy of formation of the product, which results in ΔHrxn = -175.91 kJ/mol.To check the transformation rule, substitute the values of the coordinates (4, 5) into the rule. You get (4, 5) → (4+4, 5+7). Simplify to get (4, 5) → (8, 12). This is the …Select all of the following that you included in your answer. The answer is not correct. The student did not use the quotient of powers property correctly. The student divided the exponents within the parentheses instead of subtracting. The correct simplified form is x to the two-fifths power. <3 Learn with flashcards, games, and more — for free.(1): "s0" was replaced by "s^0". (2): Dot was discarded near "1.j". Step 1 : Final result : es - jpgStep by Step Solution. Reformatting the input : Changes made to your input should not affect the solution: (1): "g4" was replaced by "g^4". 1 more similar replacement (s). (2): …Study with Quizlet and memorize flashcards containing terms like Use the formula for radian measure to calculate the measure of a central angle in a circle having a radius of 12 cm and intercepting an arc of 21 cm. es001-1.jpg The angle has a measure of _____ radians., Convert 1 radian to degrees. Round your answer to the nearest degree., …Which graph represents a system of equations with no solution? mc001-1.jpg mc001-2.jpg mc001-3.jpg. ... How would you simplify 34x^2-34x+34x^2-1= Answers · 1. RECOMMENDED TUTORS. Jane A. 5 (695) Promise C. 5.0 (1,214) Adam Y. 5.0 (598) See more tutors. find an online tutor. Algebra tutors; Algebra 1 tutors; 7th …Exercises. 1. Evaluate by performing the addition first: 2. Evaluate by performing the subtraction first: When we evaluate an expression, we want to have a single correct answer. It isn’t very helpful for the answer to be “maybe 7, or maybe 13”. Mathematicians have decided on an order of operations, which tells us which steps should be ...Simplify each power of i. i^1001Simplify exponential expressions using algebraic rules step-by-step. exponents-calculator. en. Related Symbolab blog posts. Middle School Math Solutions – Equation Calculator. Welcome to our new "Getting Started" math solutions series. Over the next few weeks, we'll be showing how Symbolab... Enter a problem. Cooking Calculators. …5. Compare and contrast the absolute value of a real number to that of a complex number. imaginary number complex plane real number negative always positive. We have an …The reference angle is 30°. The sine of 30° is 1/2. Sine is negative in quadrant III. The sine of 570° is -1/2. Study with Quizlet and memorize flashcards containing terms like Find the coordinates of the point (x, y) shown on the unit circle. x =, y=?, Consider all angles whose reference angle is 45° with terminal sides not in Quadrant I ...Click here 👆 to get an answer to your question ️ [SOLVED] Find the simplified product where mc001-1. jpg: mc001-2. jpg mc001-3. jpg mc001-4. jpg mc0…Mar 21, 2018 · Answer: years after the population will be doubled. Explanation: According to the question, There is a town which population is increasing per year. And, it will be doubled in years. Select the expression that is equivalent to: 3 sqrt 1089 Simplify completely: a and 99. Simplify: c and b. Simplify: b and b. Simplify: a and b. Simplify completely. b. Hence, the order of steps needed to simplify this expression is. Step 1. Step4. Step3. Step2. What is the simplification? Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving. Here given expression is. Step 1:-Simplify the parenthesis. Step 2:- Evaluate exponents Step 1: Enter the expression you want to simplify into the editor. The simplification calculator allows you to take a simple or complex expression and simplify and reduce the expression to it's simplest form. The calculator works for both numbers and expressions containing variables. Step 2: Click the blue arrow to submit and see the result! Step 1 - Write the parent function. Step 2 - Draw the graph of the parent function . Step 3 - Now, translate the graph of the parent function towards the right by 6 units. So, the graph obtained is the graph of . Step 4 - Now, stretch the graph of the function obtained in the above step by 3 units. So, the graph obtained is the graph of .Step 1. To simplify this fr... Simplify. Type your answer as a fraction only (example 3/7. Do not put spaces in your answer. 585135 Question 2 Evaluate and simplify. Type your answer as a fraction orly (example: 3/7. Do not put spaces in your answer. 2018 ⋅ 9936 Question 3 The fraction below is undertred. 08 Question 3 The fraction below is ...Use substitution to replace h2 in the equation below and then simplify. c^2=h^2+b^2-2bx+x^2. loading. See answer. loading. plus. Add answer +5 pts. loading. Ask AI. more. Log in to add comment. Advertisement. lmrrege is waiting for your help. Add your answer and earn points. plus. Add answer +5 pts. verified. Expert-Verified Answer. Example 1.7.1: Simplifying Rational Expressions. Simplify x2 − 9 x2 + 4x + 3. Solution. (x + 3)(x − 3) (x + 3)(x + 1) Factor the numerator and the denominator x − 3 x + 1 Cancel common factor (x + 3) Analysis. We can cancel the common factor because any expression divided by itself is equal to 1. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. You may miss out on bank insurance, credit card rewards and the benefits of technology if you oversimplify your finances. By clicking "TRY IT", I agree to receive newsletters and p...The solution to the system of equations x y = 1 and x - y = - 7 is (- 3, 4) This solution is NOT a solution to which me ayudan a entender bn Let f be the function given by f(x)= 2 cos x + 1.i^6. -1. i^10. -1. i^99. -i. i^45. i. Study with Quizlet and memorize flashcards containing terms like i^40, i^80, i^195 and more.Although even roots of negative numbers cannot be solved with just real numbers, odd roots are possible. For example:(-3) (-3) (-3)=cbrt (-27)Even though you are multiplying a negative number, it is possible to obtain a negative answer because you …Step 1 - Write the parent function. Step 2 - Draw the graph of the parent function . Step 3 - Now, translate the graph of the parent function towards the right by 6 units. So, the graph obtained is the graph of . Step 4 - Now, stretch the graph of the function obtained in the above step by 3 units. So, the graph obtained is the graph of .Hence, the order of steps needed to simplify this expression is. Step 1. Step4. Step3. Step2. What is the simplification? Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving. Here given expression is. Step 1:-Simplify the parenthesis. Step 2:- …Step 1: Enter the expression you want to simplify into the editor. The simplification calculator allows you to take a simple or complex expression and simplify and reduce the expression to it's simplest form. The calculator works for both numbers and expressions containing variables. Step 2: Click the blue arrow to submit and see the result!Create an account to view solutions. 1 / 4. Find step-by-step Precalculus solutions and your answer to the following textbook question: Simplify each power of i to i, 1,-i, or -1. $$ i^2 $$.Simplify. Explain. heart outlined ... Identify the reference angle es001-1. Jpg for each given angle, es001-2. Jpg. Es001-3. Jpg degrees. Es002-1. Jpg degrees. Es003-1. Jpg degrees. Es004-1. Jpg degrees. heart. 40. verified. Verified answer. Accenture has signed a multi year agreement to help a mobile telecom provider. star. 4/5.To convert a file from the JPG format to the DST format, download a program or application that performs the conversion. Then, open the JPG file inside the software and save it in ... If 1 minus x squared is greater than or equal to 3, then x squared must be less than -2. Since x squared cannot be less than a negative number, the function is undefined for all values of x. Study with Quizlet and memorize flashcards containing terms like Given f (x) = x - 2 andmc001-1.jpg which of the following values is not in the domain of ... Jan 17, 2022 · Simplify. Explain. heart outlined ... Identify the reference angle es001-1. Jpg for each given angle, es001-2. Jpg. Es001-3. Jpg degrees. Es002-1. Jpg degrees. Es003-1. (1): "s0" was replaced by "s^0". (2): Dot was discarded near "1.j". Step 1 : Final result : es - jpgCalculus. Calculus questions and answers. A town predicts that its population will double in (e^ (ln10))/ (2lne) years. Simplify the expression. In how many years will the population of the town double?Identifying the Degree and Leading Coefficient of Polynomials. The formula just found is an example of a polynomial, which is a sum of or difference of terms, each consisting of a variable raised to a nonnegative integer power.A number multiplied by a variable raised to an exponent, such as \(384\pi\), is known as a coefficient.Coefficients …The value of heat of the reaction for the given chemical reaction is equal to -175.91 kJ.. How do we calculate the change in enthalpy of the reaction? Change in enthalpy of the reaction is calculated by substracting the total sum of enthalpies of reacatnts from the the total sum of the enthalpies of products.. Given chemical reaction is:. NH₃(g) + HCl(g) …Study with Quizlet and memorize flashcards containing terms like How many terms are in the algebraic expression -7+12x^4-5y^8+x?, What is the simplified expression for 5ab+9ab-ab?, Simonne used the following steps to simplify the given expression. 12-3(-2x+4) Step 1: 12+(3)(-2x)+(-3)(4) Step 2: 12+6x+(-12) Step 3: 12+(-12)+6x Step 4: 0+6x Step 5: 6x …Using it's concept, it is found that the vertical asymptotes of the function are given by:. x = -1. x = 4. Vertical asymptote: The vertical asymptotes of a function f(x) are the values of x which are outside the domain of the function.; In a fraction, it is the roots of the denominator.; In this problem, the function is:. The denominator is , which is a quadratic …so i^4 is back to 1. Take the power , divide by 4 and look to the chart for the remainder. If the remainder is 0 then i to that power is 1. 1 i . 2 -1. 3 -i. i^22 . Take 22/4 = 5 remainder 2. The remainder is 2 so i^22 = -1Therefore, the like radical to 3√54 is 3√ (2 * 3²). 1. Start with the given radical: 3√54. 2. Break down 54 into prime factors: 54 = 2 * 3². 3. Rewrite the radical using the prime factorization: 3√ (2 * 3²). 4. The like radical is then 3√ (2 * 3²), as it represents the same value as the original radical, 3√54.adioabiola. The simplification of i²² is equal to; -1. According to the question; We are required to determine the value of i²². By complex numbers; i = √-1. i² = -1. i³ = -1 × √-1 = -1 × i = -i. i⁴ = i² × i² = -1 × -1 = 1.Final answer: The function g(x) = |x-3| is neither even nor odd. The function g(x) = x + x² is also neither even nor odd. Explanation: To determine whether a function is even, odd, or neither, we need to check if it satisfies the properties mentioned earlier.. For the function g(x) = |x-3|: Substitute -x for x in the function: g(-x) = |(-x)-3| = |-x+3|1-i. Click the card to flip 👆. Find the sum of i¹² and i⁵⁵. Click the card to flip 👆. 1 / 14. 1) Rewrite the equation by factoring -8 from the radicand and taking the cube root to get -2 in front of the radical symbol. 2) The graph is reflected over the x-axis. 3) The graph is also reflected over the y-axis. 4) The graph is vertically stretched by a factor of 2. 5) The graph is translated ½ unit to the left. The steps he could have used instead to simplify the expression (5 Superscript 4 Baseline) cubed Hence, the correct option is A. What is simplification of an expression? Usually, simplification involves proceeding with the pending operations in the expression .Cancelling 3n - 2 from Numerator & Denominator. = 4 (3n + 2) = 12n + 8. (8/ (6n - 4) ) * (9n² - 4²) = 12n +8. Learn more: find the product of the following 5pq,-7q - …
Simplify each power of i. i^1001. Free lesbian licking
Select all of the expressions that are equal to the product of 10x^9 and (60x^-6)^-1. Assume x ≠ 0. A: 10x^9/60x^-6. C: x^15/6. Javier simplified the expression below. Find and describe the three mistakes he made. 1) Javier did not raise the coefficients to the third power. 2) when Javier raised x to the third power, he wrote that (x^1)^3=x^4 ...College Algebra. 1st Edition • ISBN: 9781938168383 (1 more) Jay Abramson, OpenStax. 4,642 solutions. 1 / 4. Find step-by-step College algebra solutions and your answer to the following textbook question: Simplify each power of i..(1): "s0" was replaced by "s^0". (2): Dot was discarded near "1.j". Step 1 : Final result : es - jpgCreate an account to view solutions. 1 / 4. Find step-by-step Precalculus solutions and your answer to the following textbook question: Simplify each power of i to i, 1,-i, or -1. $$ i^2 $$.The Steps to simplifying the 4 + x² - 2 [1 -2x³ + 2x² + 13x - 3 /( x - 3)] are: Step 1: Find the quotient. Step 2: Subtract the result from 1. Step 3: Multiply the result by –2. Step 4: Add the result to 4 + x². What is Algebra? A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.Study with Quizlet and memorize flashcards containing terms like How many terms are in the algebraic expression -7+12x^4-5y^8+x?, What is the simplified expression for 5ab+9ab-ab?, Simonne used the following steps to simplify the given expression. 12-3(-2x+4) Step 1: 12+(3)(-2x)+(-3)(4) Step 2: 12+6x+(-12) Step 3: 12+(-12)+6x Step 4: 0+6x Step 5: 6x …Jan 19, 2019 · so i^4 is back to 1. Take the power , divide by 4 and look to the chart for the remainder. If the remainder is 0 then i to that power is 1. 1 i . 2 -1. 3 -i. i^22 . Take 22/4 = 5 remainder 2. The remainder is 2 so i^22 = -1 The solutions to 15(2a - 2) = 5(a2 - 1) are: C. The solution to 15/a^2 - 1 = 5/ 2a - 2. a = 5 the extraneous sol. is a = 1. Rewrite 2 + (1/b - 2) = 3b/b +2 as a proportion. Which of these proportions is equivalent to the original equation? C. Solve the original equation by solving the proportion. 1,6. Which of the solutions are extraneous?4.7 (90 reviews) A car battery produces electrical energy with the following chemical reaction. Pb + PbO2 + 2H2SO4 es001-1.jpg; 2PbSO4 + 2H2O. What is the mole ratio of …The formula es001-1.jpg gives the time it takes in seconds, T, for a pendulum to make one full swing back and forth, where L is the length of the pendulum, in feet. To the nearest foot, what is the length of a pendulum that makes one full swing in 1.9 s? Use 3.14 fores001-2.jpg .Example 1.7.1: Simplifying Rational Expressions. Simplify x2 − 9 x2 + 4x + 3. Solution. (x + 3)(x − 3) (x + 3)(x + 1) Factor the numerator and the denominator x − 3 x + 1 Cancel common factor (x + 3) Analysis. We can cancel the common factor because any expression divided by itself is equal to 1.Although even roots of negative numbers cannot be solved with just real numbers, odd roots are possible. For example:(-3) (-3) (-3)=cbrt (-27)Even though you are multiplying a negative number, it is possible to obtain a negative answer because you …Step by Step Solution. Reformatting the input : Changes made to your input should not affect the solution: (1): "s0" was replaced by "s^0". (2): Dot was discarded near "1.j". ….