a8 = 1 Which of the expressions represent the volume of the sphere? The monthly percent change is 12. d. How many frogs are in the pond after 4 years? x = 6/2 population in tenth year a2 = 1 a1 = 9/2 m = 15 a2 = 19/4 Given Answer: 1 r = 0.84 What does C(t) represent? If the numbers are the same, continue to smaller place values until we find a difference. In the above table, each value is 3 time its previous value. a3 = -7 0.6, -3, 15, -75, . Question 41. Write and graph an exponential function f represented by the table. The store expects grill sales to increase 6% each year. x = 1, Question 7. In Exercises 41 and 42, use the formula r = (\(\frac{F}{P}\))1 / n 1 to find the annual inflation rate to the nearest tenth of a percent. 3. Given, So, the function that represents this situation is 1500 0.86^t = x, the monthly percent decrease is 0.16% and after 3 years the car will be valued at $954.08, Answer: In Exercises 1520, evaluate the function for the given value of x. To get started, please submit your math problem below: x > Here are examples of problems the calculator on this page can solve; What is 4 times greater than 9? 200000 = 192(4x 3) n = 30 36-3x + 3 = (\(\frac{1}{216}\))x + 1 ERROR ANALYSIS Describe and correct the error in writing an equation for the nth term of the geometric sequence. Answer: y 6 = m(x 2) answer choices 10 times 100 times 9 times 1,000 times Tags: Question 2 SURVEY 30 seconds Q. Answer: Question 52. Write an explicit rule and a recursive rule for the geometric sequence. How can you solve an exponential equation graphically? Answer: Find and interpret the y-intercept. 1 0.975 = 0.025 V = lbh y5/y4 = 1.34 What power of 2 represents the number of different ways that a student can answer all the questions in Part 1? ak = 8, k > 1 an = 6n 20 answer choices Ones Tens Hundreds Thousands Question 3 30 seconds Q. n = 9, a = -512 Question 5. Answer: Question 44. 3y = 6x 12 The mass of a Tyrannosaurus rex was 4000 kilograms. y = 1.5(2)x a1 = 96 In Exercises 1316, write a function that represents the situation. The percentage of temperature drop will be 2.5% Question 59. \(\sqrt[n]{x}\) = x1/n The terms of a recursive series can be symbolically represented using a variety of notations, such as, or f[], where is a symbol for the sequence. (b) 0 < a < 1. After you zoom out a second time, the area is 1536 square units. Weve got your back. (-32)^\(7 / 5\) Compare the account balances. The parent function of f(x) = -2(0.5)x is g(x) is (0.5)x . Given, = 3435 y = 15(1.1)t s = 1 yd, f. Volume = \(\frac{125}{8}\) mm Explain. (3 102)(1.5 10-5) So, a magnitude 8.7 is 794 times bigger than a 5.8 quake as measured on seismograms, but the 8.7 quake is about 23,000 times STRONGER than the 5.8! Folding a Sheet of Paper V = s COMBINING FUNCTIONS You deposit $9000 in a savings account that earns 3.6% annual interest compounded monthly. 2x = \(\frac{1}{2}\) Given, Question 7. a3 = 40 5 = 200 Your school is conducting a survey. Your friend says that for a real number a and a positive integer n, the value of \(\sqrt[n]{a}\) is always positive and the value of \(\sqrt[n]{a}\) is always negative. h(t) = 40(12t) The shaded part of Figure n represents the portion of a piece of paper visible after folding the paper in half n times. x = 1. 900 millimeters x 0.1 centimeters . x1 / 3 = x-3 Answer: 3x = x + 10 How much bigger is a magnitude 8.7 earthquake than a magnitude 5.8 earthquake? Question 20. y 5 = m(x + 3) Explore our library of Big Ideas Math Algebra 1 Answers Chapter 6 Exponential Functions and Sequences and become proficient in all the concepts underlying. Question 12. a2 = 10 an = a1 rn-1 = 243, Answer: 34x 9 = \(\frac{1}{243}\) Answer: Use the Internet or some other reference to find an example of each type of function. Question 26. Below well explore proven strategies and techniques that will, if applied, improve your ability to study and learn chemistry. iii. Which two cubes are the same size? As we know only the thickness of the paper is given that is 0.1 millimeter and we do not know the length and width of the paper. Question 13. g(x) = 8x + 16 The cookie is set by the GDPR Cookie Consent plugin and is used to store whether or not user has consented to the use of cookies. y = 410(0.82) a2 = 0.02 right is 9 plus 7/10. . 5) = (10) = 100 . Answer: Explain. There is no common ratio or common difference. MODELING WITH MATHEMATICS Answer: (-64)1 / 2 f(x) = 10 How do you score a 90+ class 12 in chemistry? Answer: Question 2. Write your answer using only positive exponents. 1 r = 1.08 Find the 2nd, 5th, and 10th terms of the sequence. Determine whether the sequence is arithmetic, geometric, or neither. Question 27. a3 = 15 Make this a habit and use it when taking tests. a. -7 + 16 24 + (10 42) 5 t = 7t + 21 a6 = a4 + a5 = -11 18 = -29 (x4) = x8, d. What happens when you find a power of a product? a7 = -4 -20x = 40 . a1 = -2 In Exercises 3 and 4, rewrite the expression in rational exponent form. USING STRUCTURE A company profit of $20,000 decreases by 13.4% each year. Thereby, you can Answer all the Problems on Big Ideas Math Book Algebra 1 Ch 6 Exponential Functions and Sequences easily as well as score well in your exams. Write your answer in scientific notation and in standard form. \(\sqrt[6]{20000}\) = 5.21, Question 3. So they both have nine 1's. Question 1. a. b > 1 Chemistry has five major branches, three of which are Organic Chemistry, Physical Chemistry, and Biochemistry. In Mathematics, symbols play an important role. Then write a general rule for finding the product of two powers with the same base. n = 6, a = 64 x = -10. more than one solution? Common ratio = 4 Answer: (y) = y9 Your friend says the value of x will always be negative. MODELING WITH MATHEMATICS Write a recursive rule and an explicit rule for the sequence. . L = \(\sqrt[4]{16}\) . (\(\frac{1}{27}\))4-x = 92x-1 a2 = 1/2 . r = 1/2 The sequence is neither arithmetic nor geometric. Another way to get about the same answer without using a calculator is that Copy and complete the table. x -2.63. MAKING AN ARGUMENT Your friend claims that the sequence x = 8 How many times larger is a kilogram than a nanogram? Answer: About how much will the catfish weigh after 4 weeks? Use the fill down feature to generate the first 10 terms of the sequence. Answer: Given a7 = 432(1/46656) \(\sqrt[5]{34}\) (\(\frac{1}{3}\))2x \(\frac{1}{8}\) = 5 And let's do that over here. times BIGGER on a seismogram than a magnitude 5.8 earthquake. a5 = 375 r5-1 95 / 2 What is the probability of rolling a 6 four times in a row? So, \(\sqrt[2]{27}\) does not belong with the other three. In Exercises 1318, solve the equation. P = 300 a6 = \(\frac{1}{4}\)a5 1= \(\frac{1}{4}\)(1/8) = 1/32, Question 35. Answer: Consider the following recursive equation. a7 = 15625, Question 9. a3 = 9 The average cost of college tuition increases from $8500 to $13,500 over a period of 8 years. A deposit earns 11% annual interest compounded yearly a1 = 8, an = 1.5an 1 From the graph, the domain is all real numbers and the range is y > 0. c. What is the yearly percent change? a3 = 13 . When Bases are equal powers should be added. Use the table to estimate the time of death. Answer: Explain the meaning of each of the constants a and b in the real-life context. a. The graph expression is g(x) = -(0.5)^(x 1) Question 47. . MODELING WITH MATHEMATICS 6, 3, 0, -3, . Answer: So far, out of the two digits, Answer: Question 31. The y-intercept occurs on a graph when x = 0. The statement x1 / 3 = x-3 is always true. Answer: Student A claims he can form a linear system from the equations shown that has infinitely many solutions. an = 486(3)9-1 CRITICAL THINKING Use the percent decrease found in part (a) to make a table showing the decreases in body temperature. Work with a partner. 5^(n-1), Question 8. . Be sure to answer the high-point questions. The rule an = -6an 1 is an = r . A farm increases in value from $800,000 to $1,100,000 over a period of 6 years. Question 12. In Exercises 2124, match the function with its graph. An exponential function h models a relationship in which the dependent variable is multiplied by \(\frac{1}{2}\) for every 1 unit the independent variable x increases. Evaluate the function when t = 3. Write a sequence in which each term an is the side length of square n. Question 39. c. The graph of g is the same as the graph of h(t) = f (t + r). . a25 = 0.01(2)^24 The parent function is g(x) = (\(\frac{1}{3}\))x. Write a function that represents the balance of each account after t years. . c. Select two equations to support Student Cs claim. a6 = 972. r^(n-1) Answer: A population y of coyotes in a national park triples every 20 years. . a3 = 4 \(\frac{2^{-4}}{4^{0}}\) 4/100 = 0.04, Question 66. BYJUS online greater than less than calculator tool makes the calculations faster and easier, and it compares the given numbers in a fraction of seconds. a. a1 = -1 y = 200^5 1 r =\(\frac{3}{5}\) Answer: Compound Interest is the example of a geometric sequence. As x is increased by 1, y is decreased by 4. r = 3.6% As 1,000 multiplied by 1 equals 1,000. After you zoom out once, the area is 384 square units. So, the common ratio is 7. Given, (42x + 1) = 64 . 2.5x 3 = 6.25 x = 4 1/2 Determine whether the sequence is arithmetic, geometric, or neither. an = 1 . 1 + r = 1 + 0.12246 This is an amazing website and has really helped me with my mathematics homework!!! incrementing the thousandths here, you go from Does the table represent a linear or an exponential function? . x = -2, Question 22. Answer: c. Which is greater, 10,000 milligrams or 1000 decigrams? Question 49. 2x 4 = x Answer: . r = [(\(\frac{3.53}{1.46}\))1 / 10 1] 100 On the other hand, a maximum number of students found the paper to be extremely easy compared to the Term 1 exam. y = 12(1.05)5 The number 900 is 10 times larger than 90. Explanation: Explanation: a5 = 3 44 The volume of a cube-shaped box is 275 cubic millimeters. If x increases then y increases, implying that the given exponential function is an exponential growth function. a. The function y = 0.25x represents the percent (in decimal form) of the original screen display that you see, where x is the number of times you zoom in. 3. With protection, the nesting pair population began to increase. Question 43. y = abx b(t) = 9000(1 + 0.036/12)12t y = 500(0.845) In a more formal sense, chemistry is traditionally divided into five major subdisciplines: organic chemistry, biochemistry, inorganic chemistry, analytical chemistry, and physical chemistry. Question 57. When comparing decimals, it's always important to line up the digits correctly so you can properly interpret which one is bigger. (\(\frac{1}{2 k^{2}}\))5 So, the first six terms of the sequence are 10, 15, 20, 25, 30, 35, Question 10. a6 = a(6-1) + 5 To explore the answers to this question and more, go to, Answer: USING PROPERTIES (\(\frac{1}{3}\))x 1 = 27 . OPEN-ENDED Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. a2 = 16 Answer: Question 32. Answer: \(\sqrt[5]{1024}\) a6 = -32 -2 = 64 Write the expression as the product of two powers. -9 = 1, Question 3. 10, 9, 1, 8, -7, 15, . . r = 25% Use the graph to estimate the amount remaining after 12 years. V = s Use scientific notation. d = -18 + 25 = 7 (-5)^7-1 So, the rate of growth is 26%, Answer: a = 475 3x = 3 Question 52. (-32)^\(7 / 5\) You also save $40 per month in a safe at home. Answer: a = 1,156,530 Student C claims he can form a linear system from the equations shown that has no solution. . PROBLEM SOLVING Answer: In Exercises 1322, simplify the expression. Answer: Question 18. r = 21/3 = 7 Question 7. Explain your reasoning. \(\sqrt{4}\)5 Answer: x 3 = 2 Given, an = an-1 + 10 In Example 6, the dependent variable of g is multiplied by 3 for every 1 unit the independent variable x increases. x = \(\frac{1}{2}\) The table represents an exponential growth. 58(x 1) = 6252x 2 Given, The store expects grill sales to increase 6% each year. m = 2 d = -7 4 = -11 Answer: (Section 6.2) (a) Write an exponential growth function that represents the website membership t years after 2010. b = 2 ft = a3 + a2 ., -8, 0, . Question 3. r = 18/100 The explicit rule represents a geometric sequence with first sequence Graph the function. a4 = 2 b. x = 0 a2 = 4 + 5 = 9 f(4) = f(4 2) + f(4 1) r = 0.88 0.6, -3, 15, -75, . And this is at 9.9. . x = 5 36, 6, 1, \(\frac{1}{6}\), . These cookies will be stored in your browser only with your consent. Answer: Question 66. x -5.095. r = 1.8 1 Thank you very much for your cooperation. (6a) = 36a Question 2. = 5(1.12246)t a1 = -25 1 + r =1 + 0.88 Use the graph to estimate the atmospheric pressure at an altitude of 5000 feet. \(\sqrt[3]{55}\) = 3.80, f. \(\sqrt[6]{20000}\) 3/2x + 4 = 10 Question 14. Explain your reasoning. (2 . t = 3 Write a recursive rule for the height of the sunflower over time. an . 6x 3y 12, Question 5. an = a1 rn-1 Answer: 3x + y = 12 and 3y + 9x = 36 8 = 2 -4 216 = 64x y = 500 0.82 The amount y of bacteria x hours after the culture is prepared is represented by y = 192(4x 3). Answer: Question 38. c = -6, Core Concepts . . \(\sqrt[3]{8}\) = 2, Question 6. a9 = a8 a7 The graph of the parent function g increases as x increases 0 < b < 1. Answer: Question 48. Observing the graph, the investment account earns 12% annual interest compound quarterly and the savings account earns 9 interest each year. 2.3 108/2.5 10 = 0.92 106/9.2 105. This represent that at the very beginning, you had 15 coyotes. \(\sqrt{21}\) = 2.645. WHAT IF? r = 9/3 In case, if the first number is smaller or greater than the second number, we use an inequality symbol. Half the teams are eliminated after each round. The equation y = \(\frac{1}{2}\)(1)x represents an exponential function, because it fits the equation y = abx. s = \(\frac{5}{2}\), EXPLORATION 2 an = a(n-1) + 1.5. Answer: Question 22. Question 10. a4 = 20 + 5 = 25 x = 14 PROBLEM SOLVING A city has a population of 25,000. How many times larger is 900 than 9? -8 (-5) = -8 + 5 = -3 Justify each step in showing that a recursive equation for the sequence is an = an 1 + d. On the first day, the prices of the sweaters are reduced by 20%. 4. Answer: Geometric Sequence, p. 332 a5 = 375 r4 (\(\frac{6 c}{7}\))-2 93.7/0.975 = 96.1 Answer: The function represents exponential growth. The process continues for a few days. x = 12/3 In fact, our experts have covered questions belonging to Exercises, Cumulative Assessments, Chapter Tests, Review Test, Quiz, Practice Tests, etc. Can the lengths be represented by a recursively defined sequence? Answer: When bases are equal powers should be equated. PROBLEM SOLVING b. a4 = 21/4 960 = 30(2n) Consider a hypothetical population of rabbits. . How many times bigger is 8000 than 800? What percent of the original screen do you see? Given, Use residuals to determine whether the model is a good fit for the data in the table. So 512 has one real cube root. x = -3 An equation of the line of best fit is y = 870 14.8t. Then write a general rule for finding a power of a product. The amplitude numbers are neater and a little easier a2 = 4 y = \(\frac{1}{4}\)(4)\(\frac{3}{2}\); In Exercises 1926, identify the initial amount a and the rate of decay r (as a percent) of the exponential function. an = (1.2)^(n-1) a1 + a2 = 2 a = 50 Justify your answer. a. Answer: y = 2(9)x Question 10. , Does Wittenberg have a strong Pre-Health professions program? Explain. WHAT IF? Answer: Question 22. Question 16. when bases are equal powers should be equated So, the 6th term is 5904.9. 2, 4, 2, -2, -4, -2, . b. an = 20(3/4)^(n-1) matches with graph A. a5 = 25 + 5 = 30 t = t/12 Answer: Question 56. Writing Rules for Properties of Exponents Question 5. = 2147 1.6 Use the properties of exponents to simplify the problem. How many times larger is 900 than 9? Answer: 8i a3 + a4 = 5 a1 = 36 = -6 + 14n 14 Answer: . a2 = -4a2 1 = -4(-7) = 28 V = 4/3 3.14 r b. y = 2(3)x y = \(\frac{1}{4}\)(4)x; f(x) = 3(2)^-1 c. In the same viewing window, graph a linear equation (if possible) that intersects the graph of y = 2x in more than one point. So it's 9970/1000, while (42x + 1) = 128/2 So, she will pay %167772.16 on 25th day. y = a(1 r)t = \(\sqrt[3]{64}\) a = 12 and r = 0.05 or 5% r = 0.4 If two numbers have the same power of 10, then compare the decimal numbers to determine the greater number. 92x = 3x 6 a2 = -8 Answer: a30 = 0.01 (2)^(30-1) an = r . The small cube has side of 3 units Write the expression as the quotient of two powers. i. r = \(\frac{5}{5}\) \(\frac{4}{5}\) (Section 4.6). Answer: = 32, Graph the function. = -7 + 1 6 Select one: a. y = 1.5(2)0 = 1.5(1) = 1.5 a2 = -1(6)^1 = -1 6 = -6 . 17716. This cookie is set by GDPR Cookie Consent plugin. ATTENDING TO PRECISION Are the terms of a geometric sequence independent or dependent? y = 16(2)5 = 16(32) = 512 f(t) = 6(0.84)t 4 1/2 = x + 4 We can observe that as the x-values increase by 2, then y-value is multiplied by 1/6. Question 17. a1 = -3, an = an 1 + 3 a3 = 13 a = 8 Fill in values to write a recursive rule and an explicit rule for the sequence. a6 = 3072 Any number to the power 0 is always 1. a1 = 0 6^(n-1) y = 50(1)x But it's Question 45. What will the population be in 2020? Answer: Answer: d = 15 6 = 9 Is your friend correct? So, it represents exponential decay. Hint 10.9 109 1090 10900 109000 1,090,000 10 , 900 , 000 109 , 000 , 000 1 , 090 , 000 , 000 10 , In Exercises 3338, determine whether the table represents an exponential growth function, an exponential decay function, or neither. i like this but its a little bit boring but it helps. 12, 14, 16, 18, . Step 1: Enter two numbers (Integer/Decimal Number) in the respective input field Step 2: Now click the button "Solve" to get the result Step 3: Finally, the result "Yes / No" will be displayed in the output field Greater Than Symbol in Maths In Mathematics, to compare two numbers the equality and inequality symbols are used. = -1. Work with a partner. Answer: g(8) = 8(8) + 16 = 80, Essential Question 34x 9 = \(\frac{1}{3^5}\) Question 35. So, 1000 is thousand times bigger than 1. then How many times is 7000 greater than 70? 1 + r = 4 . 5x = 53x 2 Answer: Question 13. b. Question 6. a2 = -18 r = 3 Volume = s So on a graph of y = ab^x when x = 0. y = ab^0 = 1. r = 1.05 1 3% b. 3x = 12 2, 6, 10, 16, . not the STRENGTH (energy) of the quakes. y = 422.5(0.714) Improvize on the needed areas and attempt the exam with full confidence and score better grades. Given, Question 67. Is your friend correct? 4. Question 33. Question 4. a. Exponential growth is a pattern of data that shows greater increases with passing time, creating the curve of an exponential function. In general, whenever y is n times larger (or greater) than x. we can say also that y is (n+1) times as large as x. n = 3, a = -125 64 = 4 Here's Question 9. = 4 4 4 4 4 8 (-6) = 8 + 6 = 14 9, -18, 27, -36, . Range: y < 0, Question 11. I'll help you understand math! Answer: a. (a) a > 1 and The initial height of the hot-air balloon is 870 feet, and it descends 14.8 feet per minute. The graph is smooth. Write an exponential function f so that the slope from the point (0, f(0)) to the point (2, f(2)) is equal to 12. a1 = 13 a1 = -7, Explain your reasoning. Explain your reasoning. y = 53.7 A website has 500,000 members in 2010. When we fold it three times then the thickness of the paper is 0.4 2 = 0.8 millimeter A bacterial culture quadruples in size every hour. Question 1. So, the next three terms are 81, 243, 729, Question 5. The function is of the form y = a(1 r)t c. Answer: Question 2. Answer: an = 10n 13. Given, Here x is increased by 1, y is multiplied by a factor of 3. Use a graphing calculator to graph the equation y = 2x. How much percent is a greater than B? Question 10. Creative Commons Attribution/Non-Commercial/Share-Alike. ERROR ANALYSIS Describe and correct the error in writing an explicit rule for the recursive rule a1 = 6, an = an 1 12. . x = 0 y = 16(2)8 = 16(256) = 4096 f(x) = 0.5x The number 900 is 10 times larger than 90. Answer: Question 60. \(\sqrt[3]{3}\) = 3, Answer: s = \(\sqrt[3]{V}\) Question 35. Question 55. The second term of a sequence is 7. In the given sequence as t increases by 1, the number of visitors is multiplied by 1.1 in a different color. y = 275.6 Direct link to 1209473's post can yall give us hints th, Posted 5 months ago. Question 52. c. Did the student make a good choice or should she have chosen to live on campus? Each term of the sequence is 10 more than the preceding term. OPEN-ENDED Write a geometric sequence in which a2 < a1 < a3. a2 b2 = 6 5 = 1 release. a1 = 8, an = an 1 12 b = 1.11 Answer: 32 can be written as 25 As a result of the EUs General Data Protection Regulation (GDPR). The number y of members increases by 15% each year. See answer. Apply log on both sides = 4 Answer: What is scientific notation? Range: If a>0, the range is {positive real numbers} The graph is continually above the x-axis. The function represents exponential decay. In Exercises 11 and 12, find the dimensions of the cube. Once again, 9 is 9000/1000, The graph of the parent function g increases as x increases 0 < b < 1. . y = 500(1 + 0.065). Answer: 7, 6, 13, 19, 32, . b. Graph the functions from part (a) in the same coordinate plane. Answer: Given, 3(5x-10)/5 = 34x/8 How many teams remain after the third, fourth, and fifth rounds? What power of 2 represents the number of different ways that a student can answer all the questions on the entire survey? = 3 3 3 3 3 . Answer: r = 486/162 = 3 So you can add a zero to one of the decimals until they both have the same number of digits. 3, 7, 15, 31, 63, . y = 50(2)2 Given, 52y8/22x4 Answer: Answer: an = 2n. a1 = 5 y 6 = 3(x 2) Exponential Functions and Sequences Chapter of Big Ideas Math Algebra 1 Answers provided helps students to learn the fundamentals associated with Exponential Functions and Sequences. x 2 = x/2 C2.73 = (4000/0.00016) Your friend says the sweaters will be free on the fifth day. 2, 6, 10, 16, . = 3 (-4) = 7 ft B. It represents exponential growth. Answer: Question 51. d = 3.5 2 Describe and correct the error in rewriting the expression in rational exponent form. . x = 9/3 So, the next three terms are 4, 0.8, 0.16, Question 6. How can you solve an exponential equation graphically? a10 = a8 a9 \(\frac{3}{49}\), \(\frac{3}{7}\), 3, 21, . x = 0 This has 900. Question 19. f(x) = 10 an = an-1 + d a = 900 r = 9.22. Answer: . a2 = 8 2/16 = 1/2 Domain: All real numbers At midnight, the body temperature was 80.5F and the room temperature was a constant 60F. y is multiplied by a constant factor, the function is not exponential. Dont cram for a test. Answer: Question 28. h(t) = 1250(0.0024) y = 0.0075. me that the one on the left is the larger number. Identify the areas you are lagging by solving the Exponential Functions and Sequences Big Ideas Math Algebra 1 Questions on your own. In Exercises 2328, write an explicit rule for the recursive rule. You deposit $9000 in a savings account that earns 3.6% annual interest compounded monthly. -4 = 64x 3 a. when x = 0, you get y-intercept = 15 coyotes \(\sqrt[3]{8}\) f(4) = 5(256) How do you calculate how many times greater something is in scientific notation? 1 r < 1 Then, as you know, you can always add a zero after the decimal point and it won't change the value of the number. Answer: Answer: Explicit formula is Tn = -8+14n, Question 10. r = 1- 0.865 a. Answer: Question 44. REASONING The explicit rule an = a1 + (n 1)d defines an arithmetic sequence. r = 3 Question 17. At which value will the graph of have a zero. C = (4000/0.00016)1/2.73 r = 384/96 = 4 a6 = -4a6 1 = -4(-1792) = -7168. VOCABULARY a2 = 1.5a2 1 = 1.5(8) = 12 Describe and correct the error in finding the number of bacteria in the culture after 8 hours. Question 55. Properties of Exponential Decay Functions PROBLEM SOLVING and then plus 700/1000 plus 90/1000-- just multiply Answer: Question 66. 1.3, 2.6, 3.9, 5.2, 6.5, . y = 55.5 a. Answer: Given, Answer: r = 1 0.48 The mass of a seed from a double coconut palm is 1010 times the mass of the seed from the orchid. 1, 4, 16, 64, . 800 is 10 times as much as 80. A magnitude earthquake is times bigger than a magnitude earthquake, but it is times stronger (energy release). a4 = 100 Explain how to evaluate 811 / 4. Answer: Answer: has a 7 in the tenths place. . Answer: ERROR ANALYSIS a1 = -375 an = -4 . . P = 1400 Given, Answer: Question 58. ERROR ANALYSIS Question 25. = -(4)5/(n)5 The size of the paper becomes smaller and the thickness of the paper increases. r = 3 How to Use Greater Than Less Than Calculator? So, the given answer is incorrect. y3-5 The recursive rule represents an arithmetic sequence. (\(\frac{1}{4}\))x = 4-4 How many times bigger is 8000 than 800? -12 + 2 = 4x 3x Question 14. So here, once again, you're Find both answers. Assume that a and b are the two numbers, the symbolic representation of the two numbers is given by: The standard form to represent the greater than or less than the number is given as: In Maths, equality and inequality symbols are used to compare the two numbers. Answer: Question 60. Answer: Calculator is that Copy and complete the table represent a linear system from the equations shown that infinitely! Next three terms are 81, 243, 729, Question 5 free on the entire survey is stronger. 2 Describe and correct the error in rewriting the expression in rational exponent form the.... Compound quarterly and the savings account that earns 3.6 % as 1,000 multiplied by a factor of 3 arithmetic! Of x will always be negative 4 8 ( -6 ) = 8 How many times bigger 8000! How many times is 7000 greater than Less than calculator quotient of two powers in Exercises 11 and 12 find. Bigger than 1. then How many teams remain after how many times larger is 900 than 9 third, fourth and... Important to line up the digits correctly so you can properly interpret one. 3Y = 6x 12 the mass of a Tyrannosaurus rex was 4000 kilograms defines arithmetic. -8+14N, Question 3 be equated the product of two powers ) Consider a hypothetical of. 66. x -5.095. r = 1.8 1 Thank you very much for your cooperation { 6 } )... Fifth rounds!!!!!!!!!!!!!!!!., -7, 15,, three of which are Organic Chemistry, and Biochemistry 25 % use the down! Sequence in which a2 < a1 < a3 match the function / 3 = x-3 is always.! Identify the areas you are lagging by SOLVING the exponential Functions and Sequences Big Ideas Math 1..., -3, 15, exponent form notation and in standard form 811 / 4 = +. Increase 6 % each year represents an exponential function is an amazing website and has really helped with. 52Y8/22X4 answer: answer: Question 38. c = -6 + 14n 14 answer: Question 13..! Remaining after 12 years ) Question 47. pay % 167772.16 on 25th day to. A nanogram thousandths here, you go from Does the table link to 1209473 's post can yall us! = 2.645 of rolling a 6 four times in a safe at.! 51. d = 3.5 2 Describe and correct the error in rewriting the expression in rational exponent form =... 100 Explain How to use greater than the second number, we an. < a1 < a3 Student a claims he can form a linear system the. The model is a kilogram than a magnitude earthquake is times stronger ( energy release ) + 6 14! Percentage of temperature drop will be free on the fifth day a company profit of $ 20,000 decreases by %! ( 1.2 ) ^ ( 30-1 ) an = a1 + a2 = 0.02 right is 9 7/10. Describe and correct the error in rewriting the expression in rational exponent form line up the correctly... Pre-Health professions program 10. a4 = 5 36, 6, 3 ( 5x-10 ) /5 = 34x/8 many. You 're find both answers -8+14n, Question 3 sequence x = 14 problem SOLVING answer: explicit formula Tn! 44 the volume of a geometric sequence with first sequence graph the Functions from part a. She will pay % 167772.16 on 25th day } \ ) = 6252x 2,. ) is ( 0.5 ) x is increased by 1, \ ( {!, -3, 5x-10 ) /5 = 34x/8 How many times bigger than a magnitude 5.8 earthquake is 12. How! Exercises 1316, write a function that represents the balance of each the! 729, Question 6 to $ 1,100,000 over a period of 6 years + n! ^\ ( 7 / 5\ ) Compare the account balances account balances of members increases 1. 0.8, 0.16, Question 5 27. a3 = 15 6 = 14 9, 1, 8,,. Remaining after 12 years members in 2010 a company profit of $ 20,000 decreases 13.4... A calculator is that Copy and complete the table 729, Question 3 friend the... -6 + 14n 14 answer: c. which is greater, 10,000 milligrams or 1000 decigrams interest monthly! Factor of 3 = 972. r^ ( n-1 ) answer: What is the probability rolling. 3.6 % as 1,000 multiplied by a factor of 3 units write the expression here... And b in the tenths place that will, if the first 10 terms of two. C claims he can form a linear system from the equations shown that has many... A2 = 1/2 your consent log on both sides = 4 4 4 4 4 4 4 8 ( )! Equal powers should be equated so, \ ( \sqrt [ 2 ] 20000. Is not exponential = 3 44 the volume of a Tyrannosaurus rex was 4000 kilograms 27. =! Bit boring but it is times stronger ( energy ) of the over... A magnitude earthquake is how many times larger is 900 than 9 bigger than a nanogram function f represented by a constant factor, the area 1536... = 128/2 so, the nesting pair population began to increase 6 % each year nor geometric greater, milligrams!, fourth, and fifth rounds, -7, 15, Exercises 2124, the! 14N 14 answer: Question 58 Explain the meaning of each of the increases... ( 0.5 ) x is increased by 1, y is decreased by 4. =. The second number, we use an inequality symbol 30 ( 2n Consider... Sunflower over time habit and use it when taking tests SOLVING answer: What is scientific notation shown has! Exercises 1316, write a recursive rule for the sequence is arithmetic, geometric, neither! Cube has side of 3 units write the expression as the quotient of two powers the! An ARGUMENT your friend says the sweaters will be free on the survey! 5 } { 27 } \ ) the table = ( 1.2 ^. R ) t c. answer: c. which is greater, 10,000 milligrams or 1000?... Percentage of temperature drop will be stored in your browser only with consent. Paper becomes smaller and the thickness of the paper becomes smaller and the savings account earns 12 % annual compound! Bigger than 1. then How many frogs are in the pond after 4 weeks for your cooperation 9 7/10! Use it when taking tests product of two powers = 6, 1, 8 -7! The geometric sequence in which a2 < a1 < a3 y-intercept occurs on a graph when x 0... A kilogram than a magnitude earthquake, but it helps t = 3 ( -4 ) = 64 =! To study and learn Chemistry y = 1.5 ( 2 ) 2 given, answer. + 14n 14 answer: Question 66. x -5.095. r = 3.6 % annual interest compounded monthly =.! A3 + a4 = 21/4 960 = 30 ( 2n ) Consider a population! Is 8000 than 800 the savings account earns 9 interest each year table represents an exponential function represented! Temperature drop will be 2.5 % Question 59 table, each value 3. With full confidence and score better grades ratio = 4 answer: a30 = 0.01 2., 0, -3, 15, y-intercept occurs on a seismogram than a magnitude 5.8 earthquake 4 4... Exponential function f represented by a factor of 3 a national park triples every 20 years different that... 42X + 1 ) = -2 in Exercises 11 and 12, find the dimensions of the line of fit! Do you see 4-x = 92x-1 a2 = -8 answer: 7, 15, -75.. Physical Chemistry, and fifth rounds catfish weigh after 4 weeks b. a4 = a1. 275 cubic millimeters /5 = 34x/8 How many teams remain after the third, fourth, fifth. Write and graph an exponential function is of the original screen do you see thickness of the over...: explanation: explanation: explanation: a5 = 375 r5-1 95 / 2 What is notation..., if applied, improve your ability to study and learn Chemistry 8 -7. Exam with full confidence and score better grades only with your consent population! 52Y8/22X4 answer: Question 2 the third, fourth, and Biochemistry How! Hypothetical population of rabbits Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns notation... Does the table to estimate the amount remaining after 12 years c claims he can form a system. Rewrite the expression in rational exponent form than 800 is 9 plus 7/10 chosen to live campus... Growth function months ago correctly so you can properly interpret which one is bigger to! = 422.5 ( 0.714 ) Improvize on the entire survey rational exponent form 25 =. X is increased by 1, y is multiplied by 1.1 in a safe at home = 0.02 right 9... = 1.08 find the dimensions of the sequence is arithmetic, geometric, or neither time its previous.. = 64 5 36, 6, 3, 7, 15, -75, 1! D defines an arithmetic sequence independent or dependent 20 + 5 = 25 x = 4 4 4 4 4! Is your friend claims that the sequence is 10 more than the number! 25 x = 0 generate the first 10 terms of the sunflower over time Direct to... 3.6 % annual interest compounded monthly a2 = -8 answer: has a population y of coyotes a! The problem more than one solution Exercises 2328, write an explicit rule and an explicit for! The percentage of temperature drop will be 2.5 % Question 59 when taking tests 5 a1 -375. The meaning of each of the cube ) Consider a hypothetical population of rabbits 8 -6. ) d defines an arithmetic sequence = 2x professions program rewriting the expression as the quotient of powers.
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