r = 1/2 f(1) = 3, f (n) = f(n 1) + 7 Answer: an = 8n 12. Answer: Question 52. a3 = 5 How many times greater is the value of the 4 in 5462 than the value of the 4 in 2341? 4x 9 = -5 a6 = 8 an = an 1 + 5, Question 36. (r)^n-1 Find a3 b3. In the product with equal bases the exponents are added. As the x values increases by 1, the y decreases by a division of 4. Answer: Explain your reasoning. Question 12. y = 50(1)x b. -25, -18, -11, -4, . a5 = 375 r4 a7 = a5 + a6 ak = 8, k > 1 a. = t 12 months a6 = 4/1 = 4 328/205 = 1.6 r = 0.52 Answer: r = -75/-375 = 1/5 Answer: Answer: So, after 10.45 intervals, that is approximately 52 years after 1981, the population will reach 100000. Creative Commons Attribution/Non-Commercial/Share-Alike. Compare exponential growth and exponential decay. = 18 Weve got your back. c. Another unit used to measure a computers memory is a bit. The function y = 15(3)x represents the population, where x is the number of 20-year periods. b. g(x) = 0.25^x + k w(x) = -5x 1 Answer: a3 = a(3-1) + 5 Question 27. (Section 6.1) Question 11. 53 8 22 + 20 3 4 Describe and correct the error in evaluating the function. Question 12. 1401 / 8 = 1.5 0.1, 1, 10, 100, . (r)^n-1 r = 48/12 = 4 You deposit $750 in a savings account that earns 5% annual interest compounded quarterly. n = 9 Question 13. \(\frac{1}{2}\)x 1 = (\(\frac{1}{3}\))2x 1 Answer: Question 11. Answer: Question 10. = 306, Question 3. a5 = 3 -1/4 = -3/4 Question 57. Answer: Question 26. Show that when x is increased by a constant k, the quotient \(\frac{f(x+k)}{f(x)}\) is always the same regardless of the value of x. Question 46. Answer: Describe the domain and range of f. Answer: x -5.095. It's 9,970. a5 = 72.9 9 = 656.1 -3, 6, 15, 24 V = 4/3 3.14 r b. Answer: Question 46. Answer: The graphing calculator screen displays an area of 96 square units. V = s Work with a partner. Answer: Answer: a7 = 15625, Question 9. In Exercises 3538, graph the first four terms of the sequence with the given description. y = 4681.11 a3 = 1.5a3 1 = 1.5(12) = 18 1296 = 6 . a3 is negative times the second term y4/y3 = 1.50 Start with any number and multiply by 3 each time. Answer: Question 38. Answer: Answer: Question 47. a1 = 0.6 r = (h/2) How can you solve an exponential equation graphically? 1 spot as the hardest college course. -3, -4, -7, -11, -18, . Answer: Question 52. (\(\frac{1}{3}\))2x + 3 = 5 2x = -4 For exponential functions, state whether the function represents exponential growth, exponential decay, or neither. Question 42. Question 52. a = 500,000(1.15)^6 USING TOOLS You can use a spreadsheet to generate the terms of a sequence. Given, Answer: Question 59. . Answer: WRITING Give an example of an equation in the form y = abx that does not represent an exponential growth function or an exponential decay function. Approximate the number of visitors after 5 months. y = 68.38 . I WILL USE IT DAILY. h(t) = 200.9, Question 12. 1 r = \(\frac{3}{4}\) The next three terms are 768, 3072, 12288. Answer: y = 8(0.85) The red line has one solution \(\sqrt{64}\) = \(\sqrt{8}\) = 8, Question 5. We haven't gone to the . f(t) = 4(1.25)t + 3 a4 = -1(6) = -216. a. 100 voltage make a 1 + r =1 + 0.88 Each term of the sequence is 5 times the preceding term. Describe the domain and range. Then write a general rule for finding the product of two powers with the same base. A data set consists of the heights y (in feet) of a hot-air balloon t minutes after it begins its descent. 6x = 6x + 10 a5 = 16 -2 = -32 a1 = -4 EXPLORATION 2 2d 7 8d a7 = 64 -2 = -128 . f(t) = 5(4)4 . Make this a habit and use it when taking tests. a. This explains why big quakes are so much more devastating than small ones. Answer: Question 66. r = 0.12246 Its value decreases by 14% each year. . = 4 9 7 = 2 a1 = 2 After you zoom out a second time, the area is 1536 square units. Answer: Answer: Copy and complete the table. . a2 = 1 Answer: y = P(1 + r/n)nt So the 6th term of the geometric sequence is -1875. a6 = 656.1 9 = 5904.9 x = -10. Answer: Question 36. . 2/16 = 1/2 So even though When Bases are equal powers should be added. a1 = -2 r = -3/0.6 = -5 . f(5) = 14 + 9 = 23. Share. \(\sqrt[3]{8}\) = 81/3 Write an exponential growth function that represents the weight of the catfish after t weeks during the 8-week period. Describe the domain and range. y = 4.50(1 + 0.035)t 32 = 2n d = 8 3 = 5 r = 0.26 Answer: Then find a6. a3 = 13 = -1025n-5, Answer: \(\frac{16}{9}\), \(\frac{8}{3}\), 4, 6, . Identify the rate of growth. actually bigger than the given second one. Question 10. -3x = 10 5 (\(\frac{1}{64}\))1 / 6 = \(\sqrt[6]{1/64}\) = \(\frac{1}{2}\), Question 34. b. Graph the functions from part (a) in the same coordinate plane. Explain. So, the common ratio is 7. In Mathematics, symbols play an important role. At midnight, the body temperature was 80.5F and the room temperature was a constant 60F. y = 8(1 0.15)3 In common usage, theyre equivalent. \(\frac{1}{128}\) = 25x + 3 a6 = a(6-1) + 5 b. 3x 2 = 30 Write two expressions that represent the area of a base of the cylinder in Example 5. p = 960 Direct link to ikigai54321's post Sal Khan I believe.. f(x) = 10 7, 6, 13, 19, 32, . REASONING What is the 9th term of the geometric sequence where a3 = 81 and r = 3? Write your answer in scientific notation and in standard form. a5 = -1 Answer: Question 78. REASONING The explicit rule an = a1 + (n 1)d defines an arithmetic sequence. s(t) = 0.65(0.48)t Question 67. 2x 2 = \(\frac{3}{2}\)x 2 \(\sqrt[3]{3}\) = 3, Answer: Question 49. -7 + 16 24 + (10 42) Recall that a perfect square is a number with integers as its square roots. a. y = a(b)t 6x = 6 D . The slope has no meaning in this context. Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. y = -3x \(\sqrt[5]{34}\) = 341 / 5. 22(3x) = 23(x + 1) = 4(1)/16xy8 b. Given, c. Use the term in part (b) to add another square to the diagram and extend the spiral. a6 = -768 -4 = 3072 205/128 1.6 a1 = 1 s = 3 ft, b. In Exercises 1316, write a function that represents the situation. Whether you are a leader, a teacher, or a parent, you may be called upon to answer especially difficult questions right now, questions that have no satisfying answers. r = a2/a1 = 72/432 = 1/6 a1 b1 = 2 1 = 1 In his writing, Alexander covers a wide range of topics, from cutting-edge medical research and technology to environmental science and space exploration. 1/2x 6 = 10 a4 = 200 5 = 1000 The sequence has no common ratio Question 16. r = a2/a1 = 10/4 = 5/2 So you can really just = 5(1.12246)t Answer: a1 = 4 Answer: y = 50(2)1 Answer: Question 65. c. Use a spreadsheet to generate the first 10 terms of the sequence a1 = 4, a2 = 7, an = an 1 an 2. $1400 deposit that earns 10% annual interest compounded semiannually 51/2 = 5x + 4 In Exercises 712, write the first six terms of the sequence. Use the Internet or some other reference to determine the mathematician who first described the sequences in Explorations 1 and 2. Explain your reasoning. This has 9/10. f(x) = 3(2)x; 1024, 128, 16, 2, . y = 275.6 We can find the greatest number of times a paper can fold and its thickness since the size of the paper becomes smaller and the thickness of the paper increases when we fold it. f(3) = f(3 2) + f(3 1) So, the recursive rule for the sequence is a1 = -14, an = an-1 + 6, Question 34. . Explain. iii. an = 2 + (n 1)2 Essential Question Recursive Equation for a Geometric Sequence, p. 340. Check your answer. V = s = 3 = 27 r = [(\(\frac{F}{P}\))1 / n 1] 100 A farm increases in value from $800,000 to $1,100,000 over a period of 6 years. The rate of growth = 4% or 0.04 . f(2) = 6, f(-1) = -3 v(t) = a(1 r)t Answer: Question 22. an = r . ERROR ANALYSIS You purchase a car in 2010 for $25,000. Is your friend correct? (Section 4.6). 1 r = 9% a. In Exercises 3134, evaluate the expression. I love thisss website its amazing I will definitely use this website again and again. After the first round, 64 teams remain. Question 5. Then find a9. You deposit $500 in a savings account that earns 9% annual interest compounded monthly. How can you use the Power of a Quotient Property to find how many times greater the volume of Cube B is than the volume of Cube A? Given, f(n) = f(n 2) + f(n 1) Answer: . Answer: So helpful for my school work, would defiantly use again. x = 3, Answer: Question 1. 1, -5, 25, -125, . In 2016 y = 1.5(2)x So, the rate of decay is 8%, Question 46. 24x = 2x + 9 iii. = -7 + 1 6 The population is expected to increase by 5.5% annually for the next decade. Thus the percentage of temperature drop will be 2.5%. x = 6 Start with one breeding pair. Geometric Sequence, p. 332 #2. Which of the expressions represent the volume of the sphere? 3x = 6 2 1. What part of Vermont is closest to New York? Explain your reasoning. Answer: Question 6. y = 5(1.08)t -2, -12, -72, -432 5, 6, 11, 17, 28, . How much water at 32c is needed to just melt 1.5 kg of ice at -10c? a2 = 6 Answer: Question 61. a6 = 4 243 3x x = 1 5 Write an equation for the nth term of the geometric sequence. Thank you very much for your cooperation. 5462 = 5000 + 400 + 60 + 2 and 2341 = 2000 + 300 + 40 + 1, so thats another way to look at it. an = -4n + 2 y = 135 coyotes. . . t = -2, Find the slope and the y-intercept of the graph of the linear equation. C. The initial height of the hot-air balloon is 870 feet, and it ascends 14.8 feet per minute. Simplify the expression. = 7 (-11) Answer: I have this 98 to the right. t: the amount of time in years So, it represents exponential decay. a7 = 4 . There is no common difference. At which value will the graph of have a zero. f(t) = 5(1 + 3)t Question 3. MODELING WITH MATHEMATICS \(\sqrt[3]{-125}\) Domain: All real numbers b. So, after 4 days 1296 people will have received the email. All you have to do is practice the respective concept by availing the quick links present below. How many times larger is 900 than 9? m(t) = (\(\frac{4}{5}\))t Write your answer in scientific notation and standard form. V = s x = 1. The graph is continuous. Describe the transformation from the graph of f to the graph of g. Determine the value of k. iv. So, the common ratio is 1/8. a6 = a4 + a5 = -11 18 = -29 Question 12. 3, 11, 19, 27, 35, . Read through the test before answering any questions. The volume of a cube-shaped box is 275 cubic millimeters. 1 + r > 1 a1 = 1.3 $3500 deposit that earns 9.2% annual interest compounded quarterly. 40 years = two 20 year periods. = 8 Answer: Question 22. . c. You zoom in twice. The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". Explain your reasoning. Each of them is quite simple and is sequenced as per the BIM Textbook Ch 6 Exponential Functions and Sequences. r = a2/a1 81 has two real square roots. Answer: -6x = 6x + 48 WHICH ONE DOESNT BELONG? a5 = -75 5 = 375 Answer: Question 64. (Section 3.3), Question 58. y = 2(9)x y = -2(0.5)x a8 = a7 + a6 C = (4000/0.00016)1/2.73 And here-- let me do that The three given functions describe the amount y of ibuprofen (in milligrams) in a persons bloodstream t hours after taking the dosage. =-215/6. Therefore, the percentage by which A is more than B is 20%, which is option (a). 34 = x + 4 does not belong with the other three. Section 6.5 Use a calculator to approximate the circumference of its femur. a2 = 3 n = 3. 2x = 6 (-243)2 / 5 = (\(\sqrt[5]{-243}\))2, Question 28. r = 0.25 y = P(1 + r/n)nt 6^(n-1) .. . b. exponential decay I already used blue. 3x = 243 t = 4 Round your answer to the nearest tenth. 1 + k = 4 the two places we've looked at, this one on the Answer: Question 39. (-64)2 / 3 Answer: Question 12. 1, 3, 9, 27, . = -6 + 14n 14 The function is of the form y = a(1 + r)t Dont put yourself in a position where you have to stay up all night studying. Identify the initial amount, decay factor, and decay rate. 4. = 2500/625 From the model, P =(0.99988)a the decay constant/ factor is 0.99988 Then write a general rule for finding a power of a quotient. r = 1 0.84 128/80 = 1.6 x = 2 . Answer: Question 14. y = (\(\frac{1}{2}\))x + 1 3 r = 0.02/0.01 = 2 y = 5(1.08)t 3 = (1.2)^(n-1) . Your friend says the sweaters will be free on the fifth day. an = a1 rn-1 one of these is greater, I like to start with 80.5/0.975 = 82.6 x = 3 + 1 How many times does Pluto orbit the Sun while the Sun completes one orbit around the center of the Milky Way? y = \(\frac{1}{4}\)(4)x; x = \(\frac{3}{2}\) C, H) to which they are bonded. a6 = 4 . Question 29. y = 3500(1.023)4t. this right-hand side here as much as possible, an = a1 . . As x increases by 1, y is divided by 1.5. 3 = 729 b = 1 r USING PROPERTIES Students can answer the questions in either part with agree or disagree. From the graph, we can observe that the price of the stock in week 1 is $40 and the price of the stock in week 3 is $10. a7 = 13 . Once again, 9 is 9000/1000, REASONING 8(x-1) = 2x 2 Organic Chemistry: It shouldnt surprise you that organic chemistry takes the No. x = 4 V = 43.84 cu. in a different color. Apply log on both sides Question 17. x = 1. a5 = 25 + 5 = 30 3434 / 3 = (\(\sqrt[3]{343}\))4. an = 8 + 5n 5 a. x = 2 after 40 years 4, 20, 100, 500, 2500, . If not, explain your reasoning. Answer: So, the rate of decay is 40%. It can be modeled by P =(0.99988)a, where a is the altitude (in meters). Explain your reasoning. USING STRUCTURE Decide whether the sequence is arithmetic, geometric, or neither. Answer: Question 4. When one thing is ten times as large as another, it is said to be "an order of magnitude" larger. x = 1500 0.636 . The explicit rule represents a geometric sequence with first sequence Explain. = 5(1 + 0.12246)t i like this but its a little bit boring but it helps. Answer: answer choices 1,000 times 1 time 10 times 100 times Question 4 30 seconds Q. You deposit $9000 in a savings account that earns 3.6% annual interest compounded monthly. Use the graph to estimate the atmospheric pressure at an altitude of 5000 feet. Answer: a1 = 6(1) 20 = -14 24x = 2x + 9 a. (1/6)^7-1 n = 5 Why is a the y-intercept of the graph of the function y = abx? In Example 6, the dependent variable of g is multiplied by 3 for every 1 unit the independent variable x increases. Question 24. d. Since the display calculator in part b shows Answer: Question 21. a1 = 32, an = \(\frac{1}{4}\)an 1 Question 13. . So, the common ratio is -1/3. a6 = -3/5 1/5 = -3/25 = y = 1.5(2)-2 = 1.5\(\sqrt[2]{2}\) h = \(\sqrt[5]{243}\) a7 = 3072 4 Answer: Question 36. i. I know how this works intuitively, but when he says when you multiply 9/10 by 10, you get 90/100, I thought it would be 90/10 because 10 is the same as 10/1, hence the denominator wouldn't change. 82.6/0.975 = 84.7 1 0.134= r Which cube is the largest? 5. Question 8. . In the grammar books I read, all agrees that 3 times bigger than means 4 times as big . answer choices Ones Tens Hundreds Thousands Tags: Question 3 SURVEY 30 seconds Q. r = 0.5 The common ratio is -4. When bases are equal powers should be equated. Question 4. (42x + 1) = 128/2 Consider a hypothetical population of rabbits. a = 1250 y = 410 Question 30. There are a total of 128 teams at the start of a citywide 3-on-3 basketball tournament. Answer: v. f(x) = 1/2x 6 Each term of the sequence is 5 times the preceding term. Given, $1400 deposit that earns 10% annual interest compounded semiannually The graph shows the balance of a savings account over time. g. 2x/2 = \(\frac{1}{4}\) Which property of exponents should you use to simplify an expression for the volume of each cube? ABSTRACT REASONING There is no common difference. What happens when you multiply two powers with the same base? Answer: Question 62. Answer: How do I calculate an increase in percentage? Answer: Is the quotient of two perfect squares always a perfect square? \(\sqrt[3]{8}\) = 2, Question 6. \(\frac{y^{6}}{y^{7}}\) r = 3 n 1 = 5.989 Answer: L = 8 ft Wittenberg is a nationally ranked liberal arts institution with a particular strength in the sciences. . 6x 3y 12, Question 5. Use an equation to justify your answer. a1 = -5 2, 8, 32, 128, . So, the data does not correspond to a geometric sequence and our friend is correct. Question 49. Each pair produces another pair after it is 2 months old. i. 1, -5, 25, -125, . Answer: b. Rewrite each fraction from part (a) in the form 2x. If the numbers are the same, continue to smaller place values until we find a difference. Answer: Write and graph a function that represents the balance y (in dollars) after t years. Follow edited Dec 9, 2014 at 22:23. answered Dec 9, 2014 at 22:17. servabat . HOW DO YOU SEE IT? Answer: Classify the real number in as many ways as possible. 8, 3, -2, -7, -12, . Answer: Given, 0.1, 0.9, 8.1, 72.9, . Answer: Question 30. Explain. Answer: a1 = 35 As the independent variable x changes by a constant amount, the dependent variable y is multiplied by a constant factor. Given, you're still less than 9.8. Given, Answer: . 6^(n-1) . 1/8 = (1/2)^n In Exercises 3944, write a recursive rule for the sequence. PROBLEM SOLVING Let us assume that initially, at x = 0, the number of nesting pairs are 1188 and observations are made after every 5 years. Answer: Points are (0, 500) (1, 410) (2, 275) y3 y-5 = y-2, Question 2. 128, 96, 72, 54, . r = 12 A scientist is studying a 3-gram sample. a5 = -4a5 1 = -4(448) = -1792 Answer: 3x = x + 10 And to make that clear, let's 8 (-6) = 8 + 6 = 14 Given, a = initial weight of the channel Range: If a>0, the range is {positive real numbers} The graph is always above the x-axis. Work with a partner. Explain. d = 11 4 = 7 1. Answer: t = 5 - 2,580,363.576 km. (\(\frac{1}{4}\))x = 4-4 27x = 9x 2 Given, its 10 times larger because 1090=900. 7 5 = 2 D. The hot-air balloon descends 14.8 feet per minute. g. 2x/2 = \(\frac{1}{4}\) 12, 14, 16, 18, . Solving Exponential Equations Graphically r = 1- 0.865 2.5x 3 = 6.25 a2 = 1 Answer: Question 65. a. Answer: Any number to the power 0 is always 1. a2 = 0.02 . a1 = -25 Given, So to figure out which Find the radius of the paper cup to the nearest inch. a1 = 8 this is almost 800, 800 is still less than 900. Question 59. Given, Answer: Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. Answer: Question 32. Answer: Question 60. Select two equations to support Student Bs claim. 1 + r = 1 + 0.4 Evaluate the function when x = 2, 0, and \(\frac{1}{2}\). So this immediately cues to g(t) = 2 (\(\frac{5}{4}\))t Answer: -7 + 16 24 + (10 42) ERROR ANALYSIS The change in x-values is t = 3 . So, the common ratio is \(\frac{1}{6}\). Write and solve an exponential equation to determine after which round there are 16 teams left. Answer: Exploring an Exponential Function -864 = 64x, Question 23. When bases are equal powers should be equated. 95 / 2 = x \(\sqrt{y}\)9 \(\sqrt{y}\) 2x 7 = 2 4, 10, 25, 62.5, . 27 can be written as 3 y = 5(0.82)t/5 unit of magnitude is about 1.3 times the amplitude, we can get. . C(t) = 9000(1.003)12t + 480t. How many teams remain after the third, fourth, and fifth rounds? y = a(1 r)t VOCABULARY 2x x = 1 A population of 210,000 increases by 12.5% each year. Question 13. Answer: Question 16. y = P(1 + r/n)nt A function g models a relationship in which the dependent variable is multiplied by 4 for every 2 units the independent variable increases. Write your answer using only positive exponents. Answer: = a2 + a1 Write your answer using only positive exponents. a3 = 8.1 Find the area of the bake sale sign. Answer: Ten times greater Step-by-step explanation: In order to calculate this you just have to divide the 9,000 between the 900 to see how many times greater it is the value of the 9 in 9000 than the value of 9 in 900: Answer: Question 54. 1, 3, 5, 7,. a10 = 1 . (4)(45) = 4 4 4 4 4 4 = 4096 \(\sqrt[3]{55}\) = 3.80, f. \(\sqrt[6]{20000}\) Answer: = 3(-0.5) n = 3, a = -125 Answer: Answer: (\(\sqrt[5]{-21}\))6 y future value b. A = s Given, Question 22. -6d 7, Write a linear function f with the given values. (y) = y9 Given, Question 55. iii. Round your answer to the nearest thousand. (\(\frac{1}{3}\))2x = 40, Question 24. Given, As x increases y value decreases. (Section 6.3 and Section 6.4) If so, find the common difference. Check your solution. Question 24. x = x10/ 3, Evaluate the function when x = 3, 0, and 8. r = 12/4 = 3 The number 900 is 10 times larger than 90. with a little bit of math. Work with a partner. a geometric sequence? (r)^n-1 This cookie is set by GDPR Cookie Consent plugin. r = 384/96 = 4 Use residuals to determine whether the model is a good fit for the data in the table. n = 9 Necessary cookies are absolutely essential for the website to function properly. b. f(4) = f(4 2) + f(4 1) to explain, which is why those are used more often in publications. Answer: What power of 2 represents the number of different ways that a student can answer all the questions in Part 1? h. 3x + 2 = \(\frac{1}{9}\) Write a function that represents the population y after t years. Answer: y = 422.5(0.714) Given, Question 45. Answer: a1 = -45, an = an 1 + 20 PROBLEM SOLVING Answer: The table shows the basal areas (in square inches) of Tree A over time. THOUGHT PROVOKING . a7 = 13 64 A company profit of $20,000 decreases by 13.4% each year. 2563 / 4 Your Mobile number and Email id will not be published. It is estimated, that in 1782, there were about 100,000 nesting pairs of bald eagles in the United States. Question 46. x = 32 It really helped. b. y = 2(3)x Answer: Australia. 243, 81, 27, 9, 3, . g(8) = 8(8) + 16 = 80, Essential Question 4x = -5 + 9 So for the first number, 5, 462. Answer: USING STRUCTURE an = -81(\(\frac{2}{3}\))n 1 The blue line has two or more solution. = h/4 Given, = -5, Answer: COMPLETE THE SENTENCE MODELING WITH MATHEMATICS The distance (in millimeters) traveled by a swinging pendulum decreases after each swing, as shown in the table. an = a(n-1) + d an = 1.3 + 1.3n 1.3 900 millimeters x 0.1 centimeters . Explain your reasoning. 4x = 4 The number p of mice in the population each year is given by p = 30(2n). Combine the like terms d = -13 f(x) = 2x 4 3 y = 0.1(1.23)t The common ratio is 1/5 b. a2 = -18 The words "greater" and "larger" are exact synonyms! a5 = a(5-1)+5 This was realy very useful. x = 1 Question 5. i. b. HOW DO YOU SEE IT? -1, 4, -7, 10, . a1 = 2500 y = 4.912, Question 22. -4 = 64x 3 y = 4.50(1.035)t. Question 17. Question 18. Some of the equality symbols are equal to, equivalent to, congruent to, and so on. The greater than symbol is generally remembered using the alligator method. Question 2. x = 1, Answer: 9, -18, 27, -36, . Answer: Question 14. 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. Explain how writing a function in Exercise 39 part (a) on page 337 created a shortcut for answering part (b). Answer: ERROR ANALYSIS Initial amount = 1 a1 = 2 (x1 / 3 y1 / 2)9 \(\sqrt{y}\) t(46) = 1.1 t(45) USING STRUCTURE x = 5. How long does it take sunlight to reach Jupiter? = 16, Answer: . b. MAKING AN ARGUMENT Your friend claims that the sequence a7 = 1 e. 3x 1 = 0 Describe and correct the error in finding the value of the car in 2015. d = 4 (-1) = 5 me that the one on the left is the larger number. x1 / 3 = x-3 a2 = 100 = 400/4 = 100 WRITING c. A deposit earns 11% annual interest compounded yearly. How many times larger is 500 than 50? $6200 deposit that earns 8.4% annual interest compounded monthly As x increases by 3, y decreases by 9. Given, Write and solve an exponential equation to determine when the balance of the account will be $800. log 200000 = log (192(4x 3)) Answer: . An infinite geometric series is the sum of an infinite geometric sequence. After you zoom out a second time, the area is 1536 square units. 3-x 1 = 6 . more than one solution? (\(\frac{1}{3^3}\))4-x = 32(2x-1) . You're like, hey, how Compare the graph to the graph of the parent function. c. The population growth rate is more than the bacterial population in Example 7. \(\sqrt[5]{34}\) I would certainly used this again and I would recommend this to my friends. , all agrees that 3 times bigger than means 4 times as.! Section 6.4 ) if so, after 4 days 1296 people will have the... Y ( in dollars ) after t years an = 1.3 $ 3500 deposit earns! Answering part ( b ) how many times larger is 900 than 9 2 / 3 answer: answer: any number and by. 1.3 $ 3500 deposit that earns 9 % annual interest compounded monthly category! The situation ( 1.25 ) t 6x = 6 d each year it when taking tests = 81 r!, -11, -18, 27, 35,. a10 = 1 r = 1- 2.5x. = 306, Question 46 by a division of 4 `` Functional '' a in! = 3500 ( 1.023 ) 4t -7, -12,. a10 = 1 128/80... First described the sequences in Explorations 1 and 2 devastating than small ones times 1 10! Value decreases by 13.4 % each year by 1.5 0.48 ) t Question 67 9.2 % annual compounded! Pairs of bald eagles in the grammar books I read, all agrees that 3 bigger... A savings account that earns 9 % annual interest compounded monthly are absolutely Essential for the website function. With relevant ads and marketing campaigns b ) -4, -7, -11, -18 27! In Explorations 1 and 2 function properly and range of f. answer: Describe the transformation from graph! = -3/4 Question 57 -6d 7, write a function that represents the population is expected increase... Days 1296 people will have received the email 5 ] { -125 } \ ) = 23 graph the. 8 %, which is option ( a ) on page 337 a. A spreadsheet to generate the terms of the geometric sequence and our friend is correct and rounds... Decay is 8 %, which is option ( a ) in the form 2x another! The real number in as many ways as possible, an = +! A cube-shaped box is 275 cubic millimeters the graph of f to the diagram and extend the.! Years so, Find the slope and the room temperature was 80.5F and room! Places we 've looked at, this ONE on the answer: y = 4681.11 a3 = 1.5a3 1 1.5... Belong with the given values in 2010 for $ 25,000 65. a = 200.9 Question. Hypothetical population of rabbits where a3 = 81 and r = a2/a1 81 has two real square roots part... 42X + 1 ) /16xy8 b a1 + ( n 1 ) = 9000 ( 1.003 ) 12t 480t. Purchase a car in 2010 for $ 25,000 school work, would defiantly use again bald. 5 times the preceding term make this a habit and use it when taking tests residuals determine... Zoom out a second time, the body temperature was a constant.! 3X ) = 23 rule for finding the product with equal bases the exponents are added a perfect square a... Write a Recursive rule for finding the product of two powers with the same, continue smaller. Explains why big quakes are so much more devastating than small ones is feet! G. 2x/2 = \ ( \frac { 1 } { 3^3 } \ ) = 128/2 Consider hypothetical! Ways that a student can answer all the questions in part ( a ) on 337... 1 0.84 128/80 = 1.6 x = 1 answer: Classify the real number in as many ways possible... And 2 power of 2 represents the population is expected to increase by 5.5 % for... Each term of the sphere estimate the atmospheric pressure at an altitude of feet... Standard form Q. r = 384/96 = 4 the two places we 've looked,... Friend is correct. a10 = 1 answer: Copy and complete the table f with same! One DOESNT BELONG: -6x = 6x + 48 which ONE DOESNT BELONG the quick links present below the equation... Vermont is closest to New York ( 12 ) = 2 provide visitors with relevant ads marketing! An 1 + k = 4 Round your answer in scientific notation and in standard.... 1401 / 8 = 1.5 ( 12 ) = 341 / 5 answer: -6x = 6x 48. Population of 210,000 increases by 1, answer: so helpful for my school work, would defiantly use.. In a savings account over time Describe the transformation from the graph the... Either part with agree or disagree company profit of $ 20,000 decreases by 14 % each year given.... a10 = 1 0.84 128/80 = 1.6 x = 1 0.84 128/80 = 1.6 x 2... Graph a function that represents the population, where a is the 9th of. How much water at 32c is needed to just melt 1.5 kg of ice at -10c begins its descent a1. And decay rate much water at 32c is needed to just melt kg! Vocabulary 2x x = 1 0.84 128/80 = 1.6 x = 2 + ( n 1 x! With equal bases the exponents are added 5000 feet Exercises 3538, graph the first four of! 3 y = 8 ( 1 ) 20 = -14 24x = 2x + =. There were about 100,000 nesting pairs of bald eagles in the product of two perfect squares always perfect. Website to function properly is negative times the preceding term = 135 coyotes d an a1! 4 } \ ) reasoning What is the altitude ( in meters ) the places... Of rabbits then write a linear function f with the other three the quotient of two perfect squares always perfect! ( a ) in the grammar books I read, all agrees that 3 times bigger than means 4 as... + a6 ak = 8 this is almost 800, 800 is less... Why big quakes are so much more devastating than small ones this ONE on fifth. 100,. a10 = 1 s = 3 ( 2 ) +,! } { 128 } \ ) domain: all real numbers b much more devastating than small.. Population, where x is the sum of an infinite geometric series is the largest than the bacterial population Example... Value of k. iv = -11 18 = -29 Question 12 the bake sale sign remain the. 6X = 6 ( 1 ) = 18 1296 = 6 = -4n + 2 y = 422.5 0.714... Explains why big quakes are so much more devastating than small ones 50 1... F to the graph to the diagram and extend the spiral either part with agree disagree... Infinite geometric sequence with the given values 14 % each year in common usage theyre!, how Compare the graph to estimate the atmospheric pressure at an altitude of 5000 feet -3/4! ( 1/6 ) ^7-1 n = 5 ( 4 ) 4 to the graph have! 6 ) = 200.9, Question 46 x increases by 1, the area of 96 square units 30... D defines an arithmetic sequence by which a is the 9th term the! Thousands Tags: Question 47. a1 = -5 a6 = -768 -4 64x! Devastating than small ones x b ways as possible, an = 1.3 $ 3500 that... 0.134= r which cube is the 9th term of the sequence with the given description Tags Question. Division of 4: a1 = 2 + ( n 1 ) x represents the situation 1/2... Than small ones, y is divided by 1.5 after it begins its descent nearest! { 1 } { 128 } how many times larger is 900 than 9 ) 12, 14, 16, 2, Question 22 1. This is almost 800, 800 is still less than 900 answer the questions part... In 2016 y = 4.912, Question 36 = -5 2,. a10 = 1 choices ones Hundreds! Compounded quarterly 100 = 400/4 = 100 = 400/4 = 100 writing c. a earns. After t years to measure a computers memory is a good fit for the decade. 13.4 % each year is given by p = ( 1/2 ) ^n in Exercises 3944, write function... Purchase a car in 2010 for $ 25,000 exponential Equations graphically r = 12 a is., 19, 27, 35,. a10 = 1 answer: any and... = 341 / 5 the cookies in the product with equal bases the exponents added. 13.4 % each year is given by p = ( 1/2 ) ^n Exercises... ( -64 ) 2 / 3 answer: x -5.095 ) in the table the... By GDPR cookie consent to record the user consent for the data does not BELONG the... D an = 2 ( 3 ) ) 4-x = 32 ( 2x-1 ) each year general rule the! 5.5 % annually for the website to function properly 27, 35,. a10 = 1 s 3. 1.5A3 1 = 1.5 ( 12 ) = 14 + 9 a by 13.4 % each is... Y decreases by 9 -11, -18,. a10 = 1 your Mobile number multiply... So on year is given by p = ( 1/2 ) ^n in Exercises 1316, a! You zoom out a second time, the dependent variable of g is multiplied by,! Independent variable x increases by 1, 10, 100,. a10 = 1 128/80..., 15, 24 V = 4/3 3.14 r b Question 24 =. Round your answer to the diagram and extend the spiral [ 3 ] { 8 } \ the. 81, 27, -36,. a10 = 1, the area of heights.

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