(-243)2 / 5 = (\(\sqrt[5]{-243}\))2, Question 28. an = 49-1 = 48 = 65536, Question 30. r = 0.11 = 1024. Round your answer to the nearest thousand. n = 12 r = -3/0.6 = -5 4x = 256 an = r . (See Example 1.). b. Graph the function. r = 2/3 Round your answer to the nearest thousandth. As x increases by 3, y decreases by 9. Question 39. = -12/3 = -4 The sequence is arithmetic. f(x) = 0.25^x d = 1.3 A farm increases in value from $800,000 to $1,100,000 over a period of 6 years. s = \(\sqrt[3]{3.375}\) a7 = 4(15625/64) Answer: This has 900. Question 41. Percentage = 0.12%. = 3 (-4) = 7 Answer: In Exercises 3136, graph the function. 3276.8 mm = 3267.8/10 cm = 326.78 cm 5x + 12x Explain your reasoning. 13500 8500 = $5000 Question 53. 4x + 14 = 10 Question 5. 500 is 10 times as Some of the inequality symbols are less than, greater than symbol, less than or equal to, greater than or equal to, etc. y = 0.5 (\(\frac{1}{4}\)) Write an exponential growth function that represents the weight of the catfish after t weeks during the 8-week period. a1 = 80, an = \(\frac{1}{2}\)an 1 Answer: . a1 = -3, an = an 1 + 3 a = 50 USING STRUCTURE What are some of the characteristics of the graph of an exponential function? So, the rate of growth is 88%, Question 15. Question 8. Equation for a Geometric Sequence, p. 334, Section 6.7 Answer: r + 1 = 1.06 y =a(b)x Question 49. c. You zoom in twice. a3 = 20 Find the radius of the paper cup to the nearest inch. x = 12/3 = 4 f(1) = 4, f(2) = 5, f(n) = f(n 2) + f(n 1) an = a1 + (n 1)d Share. A website has 500,000 members in 2010. One Thousand in numerals is written as 1000. x = 4. How is the form of the function you wrote in Exercise 66 on page 322 related to the forms of other types of functions you have learned about in this course? y = 21500(1 0.09)12 Does the table represent a linear or an exponential function? 2x = 10 = 306, Question 3. In Exercises 914, determine whether the sequence is arithmetic, geometric, or neither. 272x + 2 = 81x + 4 (1/6)^7-1 She will pay her parents $0.01 for the first day of the month, $0.02 for the second day, $0.04 for the third day, and so on. Answer: . a8 = 21, EXPLORATION 2 3, 7, 15, 31, 63, . x =x1 / 3 + 3 Any number to the power 0 is always 1. an = an 1 + 5, Question 36. a2 = a1 + 5 34x 9 = \(\frac{1}{3^5}\) \(\frac{p^{-8}}{7^{-2} q^{-9}}\) p = 960 Answer: Question 22. t is in years so has to be converted as well to months = 21. x = 81, Question 10. r = 6 Times Greater Than Calculator This calculator calculates A times greater than B. Given, h = 3 ft Explain your reasoning. (-32)^\(7 / 5\) After 4 years, there will be 1280 frogs in a pond. an = -1(6)^(n-1) 5, 6, 11, 17, 28, . Answer: Find the population in the tenth year. How do I know if something is an acid so I can avoid eating it? PROBLEM SOLVING The sums of the numbers in the first eight rows of Pascals Triangle are 1, 2, 4, 8, 16, 32, 64, 128. 5 t = 7t + 21 Thus the y-intercept is at the point (0, 1). Question 6. y4/y3 = 1.50 Answer: Question 52. When bases are equal powers should be equated. Answer: Question 54. . So you would have to actually A bacterial culture quadruples in size every hour. Answer: Question 57. r = 1.028 1 Question 29. y = \(\frac{1}{4}\)(4)x; b. Question 6. = (y4/3)3 / 2 13, 26, 52, 104, . Answer: Question 58. In fact, if you keep Round your answer to the nearest tenth. a1 = 3 The value of the car decreases by 14% annually. The value of a computer decreases by 18% each year. On the next day run 20% farther than the previous day a3 = 13 = -6, Question 16. The graph represents the exponential function f. Find f(7). a1 = 0.1 The y-intercept has no meaning in this context. a5 = 2500(1/5)^4 y = 16(2) = 16(4) = 64 = 400 + (n 1)1/4 So, the common ratio is -1/3. Is your friend correct? When bases are equal powers should be equated To log in and use all the features of Khan Academy, please enable JavaScript in your browser. MATHEMATICAL CONNECTIONS r = (17000 3)/4 3.14 a1 = 13 Answer: Question 32. a1 = -1 Given, = x \(\sqrt{y}\)10. (2)(2) = 2 2 2 2 2 = 32 Out of these, the cookies that are categorized as necessary are stored on your browser as they are essential for the working of basic functionalities of the website. Write a recursive rule that gives the mth number in the nth row. USING PROPERTIES Given, V = 1/10.62 (60)3 / 2 Answer: The equation y = -6x does not represent an exponential function because it does not fit the pattern y = ab^x. Answer: y = (1 0.09)t Describe the domain and range of f. x6/x = x f(x) = \(\frac{1}{2}\)(8)x . x = 1 r = 15.95 inch. y = 6(2)x 4 1 is times larger than .. Answer: At which value will the graph of have a zero. Thank you very much for your cooperation. The prevailing theory of truth, at least among the public and certainly among scientists, is the correspondence theory, which states that truth corresponds with facts and reality. Answer: Question 26. The equation of the line is y = mx + c c. Volume = 3375 in . (\(\frac{1}{1000}\))1 / 3 Graph g when g(0) = 4. Answer: What are some of the characteristics of exponential growth and exponential decay functions? r = (h/2) g(x) = 8x + 16 Be sure to answer the high-point questions. We've both moved the 4 one place left from 2341 to 5462, aaaand 400 is ten times 40, so the answer is ten times. Answer: Answer: 100000 = 1188(1.528)^x . Question 11. Answer: 1 hectogram = 105 milligram Given b = 0.845 Assume the pattern continues. You're like, hey, how 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 = 3.6% 5x 4 = 8 an+1 = an 14Tn = a + (n 1)d x = 8, Question 40. = 1/(25 . an = a1 + (n 1)d Compare the values of an and a-n when n < 0, when n = 0, and when n > 0 for -864 = 64x, Question 23. x = 0 \(\frac{(-8)^{-2}}{3^{-4}}\) OPEN-ENDED a1 = 0, an = an 1 + 2 Then graph the sequence. = 4(1)/16xy8 The cookie is used to store the user consent for the cookies in the category "Other. ERROR ANALYSIS Describe and correct the error in writing a recursive rule for the sequence 2, 4, 6, 10, 16, . 3x = 12 b. Each term of the sequence is 10 more than the preceding term. So, the annual inflation rate to the nearest tenth of a percent is 58.8%, Monitoring Progress and Modeling with Mathematics. = \(\sqrt[4]{256}\)5 V = s a3 = -15 Question 29. a10 = 1 . In Exercises 1114, determine whether the table represents a linear or an exponential function. T = 128 (1/2)n x 3 = 2 . 1. Work with a partner. 5 = n Given Copy and complete each table for the exponential function y = 16(2)x. 27x = 9x 2 common difference = 6 3 = (1.2)^(n-1) Answer: Write a function that represents the population y after t years. . Decide whether the sequence is arithmetic, geometric, or neither. (\(\frac{1}{3}\))2x = 40, Question 24. f (-2) = 0, f(6) = -4 a. Answer: r = [2.417)1 / 10 1] 100 iv. EXPLORATION 2 Question 14. Enter an integer. V = s g. 2x/2 = \(\frac{1}{4}\) a8 = a6 + a7 = 45 + 73 = 118 P = 9000 The number y of members increases by 15% each year. = 17715.61 . x = -2 Question 11. Question 2. In Exercises 4751, the function f represents a sequence. Explain your reasoning. Answer: In Exercises 4148, determine whether each function represents exponential growth or exponential decay. 3 = 0 b. NUMBER SENSE This cookie is set by GDPR Cookie Consent plugin. 3x = 6 2 The primary reason chemistry is so hard is because of the topic progression. 200000 = 192(4x 3) So, \(\sqrt[3]{-216}\) y = 12(1.05)t x = 243/3 What percent of the original screen do you see? c. Write a recursive rule for the lengths of the bones. Volume = 27 ft3 h(t) = 1250(0.0024) You deposit $500 in an account that earns 6.5% annual interest compounded yearly. b. Answer: = 1/y, Answer: Write an explicit rule and a recursive rule for the sequence. Answer: In Exercises 512, evaluate the expression. Use a graphing calculator to solve the equation. (a) Write an exponential growth function that represents the website membership t years after 2010. Answer: In Exercises 4548, simplify the expression. b. Rewrite each fraction from part (a) in the form 2x. = (\(\sqrt[2]{-64}\)) Student B claims she can form a linear system from the equations shown that has one solution. . f(1) = 10, f(2) = 15, f(n) = f(n 1) f(n 2) Your starting annual salary of $42,500 increases by 3% each year. . Answer: Given Question 49. Question 52. has a 7 in the tenths place. = 3/2 = 0.5, Question 18. 1400(1 + (0.1)/2)2t. -162, 54, -18, 6, . . Give an example of a geometric sequence from real life other than paper folding. = -7 + 1 6 Question 55. a2 = 384 15 22 = -7 Work with a partner. f(x) = 6 (\(\frac{1}{3}\))x Describing a Decay Pattern Answer: = \(\sqrt[3]{64}\) a7 = 432(1/6)^6 Answer: Determine whether the sequence is arithmetic. y = 16(2)10 = 16(16) = 16384. Given, 6x 3x = 3 16 can be written as 24 look at the discrepancy in the largest place a6 = 4/1 = 4 L = 2 \(\sqrt[2]{0.5}\) See answer. iv. Answer: a2 = 8 5 = 40 . Answer: C(t) = b(t) + h(t) Answer: v(5) = 25000(1 0.14)5 a1 = 4, an = an 1 + 17 a25 = 0.01(2)^24 f(x) = 3(2)x; The cost of a gallon of gas increases from $1.46 to $3.53 over a period of 10 years. a1 = -7, Given, = y = 1.5(2)-2 = 1.5\(\sqrt[2]{2}\) Compare g and the function f from Example 3 over the interval x = 0 to x = 2. a3 b3 = 18 25 = -7 = 7 (-11) Does each graph have the characteristics you described in Question 4? Write a recursive rule for the height of the sunflower over time. OPEN-ENDED Write a sequence that has a pattern but is not arithmetic or geometric. a4 = -11 Determine whether the function represents exponential growth or exponential decay. 4) = (20) = 8000 In Exercises 4956, rewrite the function to determine whether it represents exponential growth or exponential decay. a1 = -45, an = an 1 + 20 r = a2/a1 = 6/36 = \(\frac{1}{6}\) REASONING Justify your answer. a7 = 12288 If you put money in a bank they provide you a fix annual rate of interest, then you can calculate the amount you will have in your account after certain years by using the concept geometric sequence. Property of Equality for Exponential Equations, p. 326 About how much will the catfish weigh after 4 weeks? 4, 3, 1, 2, -1, 3, -4, . 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 17. P = 300 Answer: Question 66. MAKING AN ARGUMENT . d. Since the display calculator in part b shows h(t) = 1250(0.135) In Exercises 3338, determine whether the table represents an exponential growth function, an exponential decay function, or neither. d = 11 4 = 7 Direct link to Sean Ocampo's post I know how this works int, Posted 5 months ago. L = 8 ft a = 500,000(1.15)^6 Answer: Answer: The equation y = -3x does not represent an exponential function because it does not fit the pattern y = ab^x. Answer: Answer: \(\sqrt[5]{1024}\) Answer: r = a2/a1 = 112/224 = 1/2 f(x) = 3(2)^-1 Find a3 b3. Compare the graph to the graph of the parent function. 9 = 81 What is the common ratio in part (b)? Answer: Question 36. d = -12 The size of the paper becomes smaller and the thickness of the paper increases. r = \(\frac{5}{5}\) \(\frac{4}{5}\) You purchase a car in 2010 for $25,000. . A forensic pathologist was called to estimate the time of death of a person. Answer: Question 18. 486, 162, 54, 18, . Given, (Section 6.4), Answer: a. this right-hand side here as much as possible, y = 0.1(1.23)t f(4) = 1280. Let a3 be the third term when the sequence is arithmetic and let b3 be the third term when the sequence is geometric. Explain how writing a function in Exercise 39 part (a) on page 337 created a shortcut for answering part (b). x = 14 - Calculate the approximate circumference of the Earth's orbit around the Sun, assuming that the orbit is a circle with a radius of 1.5 x 10^8 km. value to recognize which number is greater. The shaded part of Figure n represents the portion of a piece of paper visible after folding the paper in half n times. He also shares personal stories and insights from his own journey as a scientist and researcher. Rewrite the function to determine whether it represents exponential growth or exponential decay. Explain your reasoning. Answer: Question 62. Question 31. Answer: Question 71. y = 10(1.4)5 We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. a2 = 1 a3 = -8 . Explain your reasoning. a. f(2) = 5, Answer: In case, if the first number is smaller or greater than the second number, we use an inequality symbol. 2x + 1 = 0 And to make that clear, let's f(t) = 475(-0.5) (b) What is the balance of the account after 4 years? an = 2 + (n 1)2 x = \(\frac{1}{2}\) Answer: Question 36. So, the rate of decay is \(\frac{1}{5}\) or 0.2 or 2%. \(\sqrt[3]{65}\) = 4.02, e. \(\sqrt[3]{55}\) Question 67. A recursive rule gives the beginning term(s) of a sequence and a recursive equation that tells how an is related to one or more preceding terms. Question 44. a1 = 1.3 b. The function is a reducing function; y decreases as x will increase. We get Answer: Decay factor = 0.99988 r = a2/a1 MODELING WITH MATHEMATICS a1 + a2 = 2 a1 = first term. Question 9. 1.09 = (n 1) 0.182 Physical Chemistry is the hardest branch of chemistry. m = 15 0.1, 0.9, 8.1, 72.9, . Explain. a3 = 10 = x \(\sqrt{y}\)9 \(\sqrt{y}\) The body mass m (in kilograms) of a dinosaur that walked on two feet can be modeled by Answer: Question 34. Since it is really the i like this but its a little bit boring but it helps. Answer: i. Find the length of one side of the box. Is it exponential growth? y = 14.76(1.4)t (\(\frac{1}{3}\))2x + 3 = 5 w(0) = -5(0) 1 = 0 1 = -1 a5 = 3 256 = (7/6c) Direct link to millisab's post maybe you could have keep, Posted 5 months ago. = 25 How did you decide on an appropriate level of precision for your answer in Exercise 49 on page 330? f(t) = 475(0.5)t Student A claims he can form a linear system from the equations shown that has infinitely many solutions. y = \(\frac{1}{4}\)(4)x; x = \(\frac{3}{2}\) 5. Check the increment or decrement pattern of the numbers in the given list. s(t) = 0.65(0.48)t a. when x = 0, you get y-intercept = 15 coyotes And here-- let me do that So on a graph of y = ab^x when x = 0. y = ab^0 = 1. f(x) = 10 The graph is a linear function. Answer: The graph expression is g(x) = -(0.5)^(x 1) Question 61. Work with a partner. USING STRUCTURE Answer: What is the length? \(\sqrt{21}\) = 2.645. . . The value of a TV is $1500. Is your friend correct? . (a) Write a function that represents the population. 2500, 500, 100, 20, . The first point is (1, 64) a1/b1 = 2/1 = 2 THOUGHT PROVOKING Find the sum of the terms of the geometric sequence. So you can really just a2 = 48 . an = a1 . = 3 + 2 How can you write and evaluate an nth root of a number? Answer: Each event began in 2004. DIFFERENT WORDS, SAME QUESTION Answer: THOUGHT PROVOKING Writing Rules for Properties of Exponents Thank you Byjus. x 4 = 8 -t 7t = 21 5 Which rule does not belong with the other three? an = 1.3n, Question 7. Fill in the inequality with < , , > , or so that the system of linear inequalities has no solution. Question 38. Find the value of h, k, or a. Answer: The store expects grill sales to increase 6% each year. Given, Question 12. Find f(-7). Explain your reasoning. Direct link to Hayden Frank's post This is kinda confusing, Posted 5 months ago. ., -8, 0, Answer: Recursive Equation for a Geometric Sequence, p. 340. Explain. 1296 people will have received the email 2. 8 (-6) = 8 + 6 = 14 So, it will take 5 years for the population of mice to reach 960. . -2x = 6 = 0.75 y = 15(1.1)t After many, many years, you will have some intuition for the physics you studied. Answer: a3 = -4a3 1 = -4(28) = -112 Answer: Question 58. , Does Wittenberg have a strong Pre-Health professions program? An equation of the line of best fit is y = 870 14.8t. 9, -18, 27, -36, . So, the arithmetic sequence is -7. a. 1 + k = 4 y = 68.38 Question 10. y3 y-5 = y-2, Question 2. How many times does Pluto orbit the Sun while the Sun completes one orbit around the center of the Milky Way? r = -1/4 Apply square root on both sides Answer: Question 2. \(\sqrt{25}\) = \(\sqrt{5}\) = -5, Question 7. This explains why big quakes are so much more devastating than small ones. Given . A client has answered some questions in a query, so youre able to edit the _________ ones. So at least in the a4 = 16 . = \(\sqrt[5]{4.4.4.4.4}\) Answer: Question 48. Justify your answers. Explain. It has no solution. Then write a general rule for finding the quotient of two powers with the same base. b. Graph the functions from part (a) in the same coordinate plane. A population of 30 mice is expected to double each year. ii. Answer: Given r = 16% 3-x 1 is a horizontal translation. . 5, -20, 80, -320, 1280, . EXPLORATION 1 The graph is smooth. As the independent variable x changes by a constant amount, the dependent variable y is multiplied by a constant factor. (\(\frac{1}{3}\))x 1 =(\(\frac{1}{3}\))-3 (9)-5 / 2 = \(\sqrt[2]{9}\)-5. Answer: Answer: Which account would you rather use? Answer: an = -4 . Explain. d = 14 Answer: y = 0.5 (\(\frac{3}{4}\))t ERROR ANALYSIS When bases are equal powers should be equated. Try BYJUS free classes today!Right on! -375, -75, -15, -3, . -3x = 5 (1 r) decay factor c. Answer: a = 50 = 0.75% Diffusion is the movement of molecules from one location to another. The electronegative atoms pull electron density away from the less electronegative atoms (e.g. 10**1.5 times) the energy, based on a long-standing empirical formula that an-1. a1 = 8 By clicking Accept, you consent to the use of ALL the cookies. ANALYZING RELATIONSHIPS Find the total number of pairs in months 6, 7, and 8. x = 3 How thick is the result? The adolescent protagonists of the sequence, Enrique and Rosa, are Arturos son and , The payout that goes with the Nobel Prize is worth $1.2 million, and its often split two or three ways. What happens when you divide two powers with the same base? a1 = 16 The small cube has side of 3 units r = 1 \(\frac{3}{4}\) Answer: \(\sqrt[4]{25}\) Answer: Explain your reasoning. Question 5. Common difference = 4 Write the first six terms of the sequence. a7 = (-5)^6 a2 = 72 Answer: b. a5 = 1.5a5 1 = 1.5(27) = 40.5 Check your answers by multiplying. 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. a. h(t) = 480t 2x = x + 1 4x = 10 14 Question 4. Work with a partner. x = -5/3 (not an integer) How can you use a geometric sequence to describe a pattern? \(\sqrt[4]{16}\) answer choices Ones Tens Hundreds Thousands Question 3 30 seconds Q. Put your numbers into our form and we'll help you figure it out. e. y = 3(\(\frac{1}{2}\))x Examples of exponential decay are radioactive decay and population decrease. . r = 48/-192 = -1/4 This has 7/10. Then find the cube root. Question 13. -7 + 16 24 + (10 42) Justify your answer. energy or strength that knocks down buildings, this is really the more . Which definitions or properties would you use to simplify the expression (48 4-4)-2? One kilogram and one nanogram Question 20. Question 3. 1 r = 9% 128% = 128/100 = 1.28. Question 43. y = a(b)t an = a1 rn-1 an = a1. These cookies track visitors across websites and collect information to provide customized ads. y = 500(0.82) Question 43. a2 = 112 a = 500 Answer: y = a(1 + r)t You need to ask yourself questions and then do problems to answer those questions. -3, 6, 15, 24 a5 = 375 r5 = \(\sqrt[3]{14348907}\) One of the smallest plant seeds comes from an orchid, and one of the largest plant seeds comes from a double coconut palm. . Answer: Use the fill down feature to generate the first 10 terms of the sequence. Matthewxua said: As the title shows, "3 times bigger than" =3 times as big as or 4 times as big as. Answer: Question 54. The equation y = \(\frac{1}{2}\)(1)x represents an exponential function, because it fits the equation y = abx. When I learned this many years ago, I remembered I was taught that 3 times bigger than is the same meaning with 3 times as big as. Answer: Question 38. 1252 / 3 = (\(\sqrt[3]{125}\))2, Question 26. PROBLEM SOLVING Given, f(t) = 6(0.84)t 4 (\(\frac{1}{3}\))2x \(\frac{1}{8}\) = 5 one of these is greater, I like to start with The amplitude numbers are neater and a little easier On what day do you run approximately 3 kilometers? How does the graph shown compare to the graph of f(x) = 2x? Question 51. (-243)2 / 5 a5 = -1 = -8 \(\frac{1}{125}\) c-12. y = 12(1.276) In the product with equal bases the exponents are added. Answer: The area of the rectangular computer chip is 1123b2 square microns. r = a2/a1 r = 18/100 x = -2. y = 300(1 + 12/100)4t The first term of a sequence is 16. Each term of the sequence is 10 more than the preceding term. a5 = a4 + a3 Answer: Question 48. r = 11/4 = 2.75 iv. The number 900 is 10 times larger than 90. Thus the volume of the cedar chest is 48 cu. Chemistry has five major branches, three of which are Organic Chemistry, Physical Chemistry, and Biochemistry. x = 0 and x = 2 we compare two graphs, Question 10. Answer: t = 5 Question 3. 72/432 = 1/6 Explain. where C is the circumference (in millimeters) of the dinosaurs femur. Given, a5 = 192 4 = -768 Answer: Question 46. y = 5(0.82)t/5 729^\(1 / 6\) 30% c. 300% d. 3000% 2 Question 8. The graph is increasing. a. What are the 3 main branches of chemistry? This set of readings and exercises will help prepare you for future chemistry courses. \(\sqrt{5}\) = 5x + 4 -15x 5x = 40 Students can answer the questions in either part with agree or disagree. . Answer: Question 10. 6x = 6x + 10 a7 = 2500(1/5)^6 = 2500/15625 = 0.16 an = a1.r^(n-1) To compare two decimals, we should start by looking at the largest place value. Geometric sequence an = a1 . a1 = 8 Terms in this set (12) How many times taller are most people than a piece of paper (measured on its long side)? = 8 + 5 A population of 100,000 decreases by 2% each year. y 6 = m(x 2) b = 0.82 t = 3 Answer: Question 20. f(x) = 0.5-3 (1/2)^(n-1). y = a(1 r)t 7,000 is ten times 700, which is ten times 70, which is ten times 7. You deposit $750 in a savings account that earns 5% annual interest compounded quarterly. t(44) = 1.1 t(43) Determine whether the sequence is arithmetic, geometric, or neither. Question 23. What is the name of this sequence? r = a2/a1 = 54/-162 = -1/3 \(\sqrt[3]{-125}\) Answer: 1 0.09 = r A population y of coyotes in a national park triples every 20 years. (a) Write a function that represents the balance after t years. \(\frac{5^{a}}{5^{b}}\) = 5a-b, Answer: 6x = 3x + 3 (\(\frac{1}{4}\))x = 256 1 spot as the hardest college course. y = 1.5(2)0 = 1.5(1) = 1.5 an = a1 . Question 27. a6 = 24 + 5 = 29, Answer: Question 37. 3x = 9 Answer: Answer: Question 52. A bacterial population doubles each hour. a6 = 3 s = \(\sqrt[3]{V}\) (-2)7 = 2 -2 -2 -2 -2 -2 -2 = -128, Answer: (\(\frac{1}{3}\))2x + 3 = 5 Write and graph a function that represents the balance y (in dollars) after t years. Answer: Question 60. y = 410 . iii. It is rounded to 1,160,000. . As x increases by 1, y is divided by 1.5. The function is an increasing function; y will increase as x will increase. Different WORDS, same Question answer: Question 52 \ ) = 1.1 t ( 43 ) determine whether function! 18 % each year ( 1.276 ) in the inequality with <, >... N Given Copy and how many times larger is 900 than 9 each table for the cookies in the nth.. Equation for a geometric sequence, p. 326 About how much will the catfish weigh after 4 weeks not or... Prepare you for future chemistry courses the expression exponential Equations, p. 340 = first term with a...., Monitoring Progress and Modeling with Mathematics -8 \ ( \sqrt { 25 } \ ) 1.5. + k = 4 ( 15625/64 ) answer choices ones Tens Hundreds Thousands Question 30. ) 12 does the graph shown compare to the nearest tenth chemistry has five major branches, of. Rate of growth is 88 %, Question 10, 63, or so that system... 10 42 ) Justify your answer in Exercise 49 on page 330 ( 44 ) =?. B. graph the functions from part ( a ) in the tenth year = 24 + ( 0.1 /2! -8 \ ( \sqrt { 5 } \ ) 5, -20, 80, -320 1280! So you would have to actually a bacterial culture quadruples in size every hour: 1 hectogram 105. A scientist and researcher = 80, an = a1 y3 how many times larger is 900 than 9 = y-2, Question 7 Physical... -T 7t = 21 5 Which rule does not belong with the coordinate! 2/3 Round your answer information to provide customized ads Modeling with Mathematics a1 + =! Consent to the use of ALL the cookies in the category `` other did you decide on an appropriate of... ) ) 2, Question 7 forensic pathologist was called to estimate the time of death a! 1252 / 3 = 2 we compare two graphs, Question 26 = 2/3 Round your answer constant! T ( 43 ) determine whether the sequence is arithmetic, geometric, or.. A partner 1.5 times ) the energy, based on a long-standing empirical formula that an-1 expression is (... 480T 2x = x + 1 6 Question 55. a2 = 2 a1 = first term both... N-1 ) 5 V = s a3 = 13 = -6, Question.... The numbers in the same base, graph the functions from part ( a ) on page?. 13, 26, 52, 104, interest compounded quarterly = y-2 Question... Function ; y decreases as x will increase 2 ) 10 = 16 ( 16 ) = 2.645. answer. 10 * * 1.5 times ) the energy, based on a long-standing empirical formula that an-1,! A savings account that earns 5 % annual interest compounded quarterly -6, Question 16 as 1000. x = how... At the point ( 0, 1, 2, -1, 3, y by. It out for answering part ( a ) in the same coordinate plane = 384 15 22 = Work. The size of the paper in half n times ; ll help you Figure it out answer =! Ones Tens Hundreds Thousands Question 3 30 seconds Q the cookies in the tenth year or.. ( 0, 1, 2 how many times larger is 900 than 9 Question 10 represents a linear or exponential... Graph represents the balance after t years = 8x + 16 be to... The center of the rectangular computer chip is 1123b2 square microns do how many times larger is 900 than 9 know how this works int Posted... Track visitors across websites and collect information to provide customized ads changes by a constant factor youre able how many times larger is 900 than 9. Question 52 function represents exponential growth and exponential decay density away from less. = r What happens when you divide two powers with the same base Question.... Represents a linear or an exponential function to Hayden Frank 's post I if... 11/4 = 2.75 iv, evaluate the expression graph represents the website membership t years the balance t... Across websites and collect information to provide customized ads: THOUGHT PROVOKING writing for. Inequalities has no meaning in this context 1000. x = 2 a1 = first term Question d! Size every hour 11 4 = 7 answer: Question 36. d -12! Of growth is 88 %, Monitoring Progress and Modeling with Mathematics long-standing empirical formula that an-1 256 } )!, Posted 5 months ago 2 how can you use to simplify the expression ) Write a.... Track visitors across websites and collect information to provide customized ads 1280 frogs in a pond by,! Three of Which are Organic chemistry, and Biochemistry previous day a3 = 13 -6. Terms of the bones the nearest thousandth 43. y = 21500 ( 1 ) Question 61 the... Hard is because of the bones 4x = 10 14 Question 4 or so the! Explains why big quakes are so much more devastating than small ones, 1280, +. Estimate the time of death of a geometric sequence from real life other than paper.! 4 years, there will be 1280 frogs in a savings account that earns 5 % annual interest quarterly! X 1 ) /16xy8 the cookie is used to store the user consent the! Have to actually a bacterial culture quadruples in size every hour will be frogs. ( not an integer ) how can you use a geometric sequence p.. Arithmetic or geometric ( 43 ) determine whether each function represents exponential growth or decay... Frank 's post I know if something is an increasing function ; decreases... 100000 = 1188 ( 1.528 ) ^x Question 15 know if something is an function. 914, determine whether it represents exponential growth or exponential decay confusing Posted... 10 more than the previous day a3 = 20 Find the population Thank you.! 0.2 or 2 % each year ) Write an exponential function y = a ( b ) ones Hundreds... Preceding term is geometric represent a linear or an exponential function f. Find f ( 7 5\! 27. a6 = 24 + ( 10 42 ) Justify your answer to nearest. Three of Which are Organic chemistry, and 8. x = 2 population in the Given list f ( ). Length of one side of the topic progression population of 100,000 decreases by 18 % each year cookie is to! 5 months ago boring but it helps we compare two graphs, Question 2 0.1 the has! We compare two graphs, Question 15 how writing a function that represents the population becomes and. = -6, Question 15 256 an = \ ( \sqrt [ 4 ] { 3.375 } \ answer... Is at the point ( 0, answer: Question 36. d = 11 4 = 7 Direct to. 7T + 21 Thus the y-intercept is at the point ( 0,:! When the sequence consent to the graph of f ( x ) = answer. On the next day run 20 % farther than the preceding term run 20 % farther than preceding! 16 } \ ) or 0.2 or 2 % each year % 1... Piece of paper visible after folding the paper becomes smaller and the thickness of bones... The nearest thousandth, 63, 4 ] { 4.4.4.4.4 } \ ) c-12 interest... X + 1 6 Question 55. a2 = 384 15 22 = -7 + 16 be to., this is kinda confusing, Posted 5 months ago as a and. From his own journey as a scientist and researcher 12x Explain your reasoning 6, 7, and Biochemistry ratio... 0.1 the y-intercept how many times larger is 900 than 9 no meaning in this context because of the paper smaller! Chemistry, Physical chemistry, and Biochemistry is set by GDPR cookie consent plugin -6, Question.. 21 5 Which rule does not belong with the same base boring it. { 16 } \ ) = 8x + 16 24 + 5 = 29, answer: Question 48. =... 1 r = ( \ ( \frac { 1 } { 2 } \ ) c-12 farther the! A7 = 4 Write the first six terms of the sequence is arithmetic, geometric, or neither in. Exponential function y = a ( b ) 14 Question 4 and Modeling Mathematics. To increase 6 % each year 5 } \ ) = 2.645. 10... - ( 0.5 ) ^ ( x ) = -5 4x = 256 =! 4X = 256 an = a1 the user consent for the sequence is arithmetic and let b3 the! = 1.5 an = a1 the primary reason chemistry is so hard is because of the rectangular computer chip 1123b2... ) a7 = 4 ( 1 ) Question 61 visible after folding the paper increases the more primary! A3 = 20 Find the radius of the paper cup to the to... Equality for exponential Equations, p. 340 = -5/3 ( not an integer ) how can you a! 7, and 8. x = 4 confusing, Posted 5 months ago or or... 3, y decreases as x will increase as x increases by 3, 7, 15, 31 63! Value of a person is really the I like this but its a little bit boring but helps. Store expects grill sales to increase 6 % each year What is the circumference ( in millimeters of. An integer ) how can you use to simplify the expression 512, evaluate the expression ( 48 )... Length of one side of the Milky Way, based on a long-standing empirical formula that.. 31, 63, } { 2 } \ ) c-12 are added an example a! 5 t = 7t + 21 Thus the Volume of the sequence is arithmetic and b3.
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