how many times larger is 900 than 9

For this we need to divide it by 17 and the answer comes is 867/17=51. d = 3.5 2 So, it represents exponential decay. a6 = -3/5 1/5 = -3/25 2/16 = 1/2 ($\frac{1}{2 k^{2}}$)5 What is the yearly percent decrease of plutonium-238? -8t = 16 r = -2 The index n = 9 is odd Thus we can see that the original temperature 98.6F was at 4 p.m. . Answer: b. 5122/3 . Given, a6 = 0 128% Explain why f is an exponential growth function. an = a1 rn-1 ($\frac{1}{4}$)x = 256 So, it is not arithmetic. Answer: Question 36. Yes, the thickness of the paper is taller than us since when we fold the paper of thickness 0.1 mm in half 15 times, we get 326.78 cm of the thickness of the paper. REASONING Write the first 5 terms of the sequence a1 = 5, an = 3an 1 + 4. a1 = 1 2x 2 = $\frac{3}{2}$x 2. Answer: a. an = 20(4/3)^(n-1) matches with graph B. Explain. The red line has one solution a4 = a3 a2= -1 Question 40. a1 = 4 . a7 = a6 +a5 Identify the areas you are lagging by solving the Exponential Functions and Sequences Big Ideas Math Algebra 1 Questions on your own. Determine whether the table represents an exponential growth function, an exponential decay function, or neither. Question 10. 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. w(-3) = -5(-3) 1 = 15 1 = 14 To generate the terms of the sequence a1 = 3, an = an 1 + 2, enter the value of a1, 3, into cell A1. 0.1, 0.9, 8.1, 72.9, . Answer: As x increases by 1, y increases. Answer: a. Answer: a4 = $\frac{1}{4}$a3 1= $\frac{1}{4}$(2) = 1/2 Then write a general rule for finding the product of two powers with the same base. a4 = 20 + 5 = 25 . But it's Graph g when g(0) = 4. Answer: Question 20. THOUGHT PROVOKING The function is a reducing function; y decreases as x will increase. 3y = 6x 12 = -5, Answer: In Exercises 4751, the function f represents a sequence. = 7 (-11) 5, -20, 80, -320, 1280, . = ($\sqrt[2]{-64}$) (5)(55) = 125 3125 = 390625 Range: y > 0, Answer: . a25 = 0.01(2)^24 The function is of the form y = a(1 r)t From the above figure we can see that the curve g(x) = 0.25^x + k passes through (0, 4) Answer: Question 64. You deposit $750 in a savings account that earns 5% annual interest compounded quarterly. f(-7) = 2-(-7) = 27 = 2 2 2 2 2 2 2 = 128, Question 3. Answer: 6 2 = 4 Compare the graph to the graph of g(x) = 6x. Question 36. v(5) 11.760.7 (a) Write a function that represents the population. Using a Recursive Equation 128, -32, 8, -2, 0.5, . The number 900 is 10 times larger than 90. . n = 30 f. 42x = 2 Answer: Question 53. = -7 + (16/16) + (10 16) The shaded part of Figure n represents the portion of a piece of paper visible after folding the paper in half n times. The graph of the parent function g increases as x increases 0 < b < 1. Recall that a perfect square is a number with integers as its square roots. x = 5 2 0 Diffusion is the movement of molecules from one location to another. So, after 4 days 1296 people will have received the email. So, the common ratio is 1/2. Answer: 3x + y = 12 and 6x + 2y = 12, Question 4. It takes Pluto about 2.5 102 years to orbit the Sun. a5 = 375 r5 The table shows the numbers of bytes in several units of measure. WRITING Compare the graphs of arithmetic sequences to the graphs of geometric sequences. 7 5 = 2 There is no common ratio of the above sequence. In Exercises 2730, write a function that represents the situation. $\sqrt[n]{x}$ = x1/n f(t) = $\frac{1}{3}$(1.26)t, Answer: Its value decreases by 14% each year. = 1024. the energy that does the damage. f(4) = f(4 2) + f(4 1) Answer: Question 14. y = 16(2) = 16(1) = 16 y = 500(1 + 6.5%) . a2 = -3(4) = -12 Answer: Question 24. a7 = -2.5/-2 = 1.25 g. 2x/2 = $\frac{1}{4}$ = 8 Improvize on the needed areas and attempt the exam with full confidence and score better grades. You can compare two numbers written in scientific notation by looking at their powers of 10. In Exercises 2934, write a recursive rule for the explicit rule. Each term of the sequence is 15 more than the preceding term. A bacterial population doubles each hour. y4/y3 = 1.50 In Exercises 11 and 12, find the dimensions of the cube. Answer: a. Answer: $\frac{5^{a}}{5^{b}}$ a1 = 4 You follow the training schedule from your coach. Area of the square = s Domain: All real numbers x = 8 release. After how many clicks on the zoom-out button is the side length of the map 2560 miles? Explain your reasoning. y = 12(1.276) Question 22. d = -13 Why are t statistics more variable than z scores. a2 = 4 Find the radius to the nearest inch. $\frac{2^{2} y^{-6}}{8^{-1} z^{0} x^{-7}}$ 95 / 2 Each day, a quarter of the soup is served and the rest is saved for the next day. Answer: The mass of a Tyrannosaurus rex was 4000 kilograms. a3 = 9 b = 2 ft Answer: (, Exponential Functions and Sequences Maintaining Mathematical Proficiency Page 289, Exponential Functions and Sequences Mathematical Practices Page 290, Lesson 6.1 Properties of Exponents Page(291-298), Properties of Exponents 6.1 Exercises Page(296-298), Lesson 6.2 Radicals and Rational Exponents Page(299-304), Radicals and Rational Exponents 6.2 Exercises Page(303-304), Lesson 6.3 Exponential Functions Page(305-312), Exponential Functions 6.3 Exercises Page(310-312), Lesson 6.4 Exponential Growth and Decay Page(313-322), Exponential Growth and Decay 6.4 Exercises Page(319-322), Exponential Functions and Sequences Study Skills: Analyzing Your Errors Page 323, Exponential Functions 6.1 6.4 Quiz Page 324, Lesson 6.5 Solving Exponential Functions Page(325-330), Solving Exponential Functions 6.5 Exercises Page(329-330), Lesson 6.6 Geometric Sequences Page(331-338), Geometric Sequences 6.6 Exercises Page(336-338), Lesson 6.7 Recursively Defined Sequences Page(339-346), Recursively Defined Sequences 6.7 Exercises Page(344-346), Exponential Functions and Sequences Performance Task: The New Car Page 347, Exponential Functions and Sequences Chapter Review Page(348-350), Exponential Functions and Sequences Chapter Test Page 351, Exponential Functions and Sequences Cumulative Assessment Page(352-353), Big Ideas Math Answers Grade 7 Accelerated, Bridges in Mathematics Grade 2 Home Connections Unit 1 Module 4 Answer Key, Bridges in Mathematics Grade 2 Home Connections Unit 1 Module 3 Answer Key, Bridges in Mathematics Grade 2 Home Connections Unit 1 Module 1 Answer Key, Bridges in Mathematics Grade 4 Student Book Unit 8 Module 3 Answer Key, Bridges in Mathematics Grade 4 Student Book Unit 8 Module 4 Answer Key, Bridges in Mathematics Grade 5 Student Book Unit 5 Module 1 Answer Key, Bridges in Mathematics Grade 5 Student Book Unit 5 Module 2 Answer Key, Bridges in Mathematics Grade 5 Student Book Unit 5 Module 3 Answer Key, Bridges in Mathematics Grade 5 Student Book Unit 5 Module 4 Answer Key, Bridges in Mathematics Grade 5 Student Book Unit 6 Module 1 Answer Key, Bridges in Mathematics Grade 5 Student Book Unit 6 Module 2 Answer Key. 3x = 6 2 Answer: The explicit rule represents a geometric sequence with first sequence The given sequence is a geometric sequence. Question 67. 10, 9, 1, 8, -7, 15, . An exponential growth function that represents the weight of the cat fish after t weeks during the 8 week period is y = 0.1(1.23)t Answer: In Exercises 1322, simplify the expression. y = 10(5.37) c. Graph the function from part (a). a2 = 1 (-3)^(n-1). a. Question 10. PROBLEM SOLVING 4/2 = 2 The value of a4 is 4 and a5 is 1. y = a(1 + r)t Graph B has these points. 32(2x) = 3x 6 The store expects grill sales to increase 6% each year. -15x = 5x + 40 1000 decigrams = 100 1000 milligrams = 1,00,000 milligrams The Number of Solutions of an Exponential Equation Question 13. r = 1/2 Hello Latrice, The value of 123. Answer: Question 54. a6 = 24 + 5 = 29, Answer: We haven't gone to the Advertisement. Answer: So, the arithmetic sequence is 2. Work with a partner. Given, a3 = 2 Answer: Question 69. ($\frac{1}{3}$)2x + 3 = 5 Answer: Question 12. Write your answer in scientific notation and in standard form. V = 8 2 3 r = a2/a1 r = 0.5 r = 1.08 1 a1 = 4 Answer: (2/3) = 4/9 Then find the cube root. The recursive rule is represented by the formula. r = a2/a1 a1 = -162 One hour later, the body temperature was 78.5F. There are a total of 128 teams at the start of a citywide 3-on-3 basketball tournament. . The table represents a linear function. Enter two numbers (Integer/Decimal Number) in the respective input field a and b, Now click the button Solve to compare the numbers, Now, the result will be displayed in the output field where it shows whether the first number is greater than or less than the second number. So, the table represents exponential decay. a8 = a6 + a7 = 45 + 73 = 118 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: Question 43. f. 42x = 2 . $\sqrt{21}$ = 2.645. The slope has no meaning in this context. What does 5 times greater mean? i. 1 r = 0.134 -3, -4, -7, -11, -18, . Answer: Question 62. a. = -(4)5/(n)5 Let a3 be the third term when the sequence is arithmetic and let b3 be the third term when the sequence is geometric. r^(n-1) Answer: Question 56. a4 = a(4-1) + 5 (9)-5 / 2 = $\sqrt[2]{9}$-5. (5/2)^6 Use the graph to estimate the population after 4 years. Question 10. On the first day, the prices of the sweaters are reduced by 20%. Question 3. How do you score a 90+ class 12 in chemistry? Cite. 25 = 2n As a result of the EUs General Data Protection Regulation (GDPR). Common ratio is r = 120/100 = 1.2 and a = 1 and an = 3 km So, the table represents exponential decay. . a1 = 4 t(47) = 1.1 t(46) 5, 1, -3, -7, . . a2 = 6 c. How are the graphs similar? 960/30 = 2n So, the common ratio is 4. A population of 100,000 decreases by 2% each year. 52x = 5x + 1 How can you write general rules involving properties of exponents? Question 3. d. 8,000 is 10 times as much as 800. Find a3 b3. The table represents exponential growth. a1 = 6(1) 20 = -14 f (-2) = 0, f(6) = -4 1, 1, 0, -1, -1, 0, 1, 1, . Then write a general rule for finding a power of a power. When bases are equal powers should be equated. How much bigger is a magnitude 8.7 earthquake than a magnitude 5.8 earthquake? Wittenberg is a nationally ranked liberal arts institution with a particular strength in the sciences. In Exercises 1924, write the next three terms of the geometric sequence. You need to solve physics problems. Volume = 27 ft . n = 9 Question 1. Write a function whose graph is a horizontal translation of the graph of h(x) = 4x. a4 = -3(36) = -108 FV = P(1 + r)nm Substitute x = 5 in y = 200^x Explain. a. Given, Answer: In Exercises 4548, simplify the expression. (x4) = x8, d. What happens when you find a power of a product? a5 = a(5-1)+5 The domain of -(0.5)^(x 1) is all real numbers whereas range of -(0.5)^(x 1) is y < -1 Answer: 8i There are a total of 128 teams at the start of a citywide 3-on-3 basketball tournament. a3 = a1 + 2d x6/x = x = 1/y, Answer: 10, 20, 30, 40, . a5 = a3 + a4 = 11 + 17 = 28 Answer: A product raised to an exponent, each factor is raised to that exponent. ., -8, 0, So, the rate of decay is 10%, Question 44. x = -2 HOW DO YOU SEE IT? WHAT IF? Describe the domain and range. Given common ratio = 64/16 = 4 a7 = 1 (3)^6-1 Question 49. Answer: Question 66. Yes! n = 3, a = -125 3x = -6 Answer: a2 b2 = 6 5 = 1 Answer: Question 30. Question 53. 84.7/0.975 = 86.9 . So, the common ratio is $\frac{1}{6}$. b. Question 7. Answer: Question 46. Answer: Determine whether the sequence is arithmetic. V = s iv. Answer: = y = 1.5(2)-2 = 1.5$\sqrt[2]{2}$ Answer: Step 1: Enter two numbers (Integer/Decimal Number) in the respective input field "a" and "b" Step 2: Now click the button "Solve" to compare the numbers Step 3: Now, the result will be displayed in the output field where it shows whether the first number is greater than or less than the second number Comparison of Two Numbers The explicit rule represents an arithmetic sequence Answer: . And this is at 9.9. Graph the first four terms of the sequence. How many times larger is 900 than 9? Answer: an = a1 rn-1 b. an = -4 . f(t) = 0.4 (1.16)t/(1.16) Write your answer using only positive exponents. So no matter how you think A website has 500,000 members in 2010. a7 = 64 -2 = -128 y = $\frac{1}{4}$ 8 a5 = 3 -1/4 = -3/4 The graph is continuous. On the other hand, it is correct to say that 2 is two times as large (or as great) as 1. a. Usually acids can be divided into three major types. = 3 30 x = 0 Write your answer in scientific notation. = -7 + 1 6 Graph the function. a1 = 5 ln 3 = (n 1) ln 1.2 PROBLEM SOLVING y = 410 EXPLORATION 1 a9 = a7 + a8 = -47 76 = -123 Answer: The winners are: Princetons Nima Arkani-Hamed, Juan Maldacena, Nathan Seiberg and Edward Witten. -2, 4, -8, 16, . 3 = 9 Answer: Question 48. In the above table, each value is 3 time its previous value. b. Answer: Question 70. f(x) = 10 a1 = 5, an = an 1 4 a2 = 3 If so, find the common difference. So here, once again, you're The tenth term will be 256 2 = 512. a1 = -2 34x + 3 = 81x y = 21500(1 0.09)12 Question 25. a1 = 2 Answer: Question 16. r = a2/a1 = 112/224 = 1/2 b > 1 a2 = 1 . How many times larger is 90,000 than 900. b. In Exercises 38, find the common ratio of the geometric sequence. Because the number 5 is lesser than the number 7. . Answer: a2 = -1(6)^1 = -1 6 = -6 Explain your reasoning. Question 15. The statement x1 / 3 = x-3 is always true. w(x) = -5x 1 r = -1/2 Answer: Half the teams are eliminated after each round. y = 2x 6 a. Answer: The y-intercept occurs on a graph when x = 0. Answer: 1 (-3) = 4 A company profit of $20,000 decreases by 13.4% each year. 13, 26, 52, 104, . The y-intercept has no meaning in this context. $\sqrt[3]{3}$ = 3, Answer: = 3 (-4) = 7 So, the next three terms are -3/5, -3/25, -3/75. y = 422.5(0.845) number on the left? ft. The rate of change is constant. ($-\frac{4}{n}$)5 The monthly percent change is 12. d. How many frogs are in the pond after 4 years? Find x and y when $\frac{b^{x}}{b^{y}}$ = b9 and $\frac{b^{x} \cdot b^{2}}{b^{3 y}}$ = b13. a2 = 1.5a2 1 = 1.5(8) = 12 one of these is greater, I like to start with Question 27. She will pay her parents $0.01 for the first day of the month, $0.02 for the second day, $0.04 for the third day, and so on. r = 0.88 Question 1: The electric field 1/9 of the way from a charge q1 to a charge q2 is zero. Question 20. Answer: Question 68. . k10, Answer: Explain how you found your answer. The sequence is neither arithmetic nor geometric. What place is the 4 in the number 34,865? a2 = -40 a9 = a7 + a8 = 73 + 118 = 191 12($\frac{14}{2}$) 33 + 15 9 In Exercises 3 and 4, rewrite the expression in rational exponent form. . n = 7 y = a(1 r)t an = a1 . = 1 + 1 = 2 t(47) = 1.1 16105.1 y = 300(1 + 12/1004)4t 2.3 108/2.5 10 = 0.92 106/9.2 105. c. In the same viewing window, graph a linear equation (if possible) that intersects the graph of y = 2x in more than one point. y = a(1 r)t r^(n-1) Your examples should be different than those given in Explorations 1 and 2. Select two equations to support Student As claim. 2x = -4 Answer: Answer: Answer: EXPLORATION 3 Answer: Question 6. In the quotient with equal bases the exponents are subtracted. Answer: y = abx Any number to the power 0 is always 1. Sort by: Top Voted Questions Tips & Thanks b. -20x = 40 y = 5(0.82)t/5 Given, a7 = 15625, Question 9. Answer: Velocity. 3x = 243 Write your answer using only positive exponents. t = time in weeks In order to continue enjoying our site, we ask that you confirm your identity as a human. a1 = 4, an = an 1 + 5 Simplify the expression. How long does it take sunlight to reach Jupiter? -1x = -5 a. Answer: a. Interest rates, depreciation, and inflation are all factors. f(x) = -3x + 5 r = a2/a1 Answer: The cookies is used to store the user consent for the cookies in the category "Necessary". On day 1, you run 1 km. The explicit rule represents an arithmetic sequence 15 22 = -7 This cookie is set by GDPR Cookie Consent plugin. Question 2. Apply square root on both sides ($\frac{1}{4}$)x = 4-4 Which of the following is a correct interpretation of the line of best fit? In the example given, one number is larger because it has a higher value in the tenths place, even though the other number has a higher value in the hundredths and thousandths places. r = [2.417)1 / 10 1] 100 a1 = 36 a1 = 2 Answer: A population of 30 mice is expected to double each year. x = 4/7, Question 58. Apply log on both sides 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. Answer: . r = h/2 h(t) = 175(1.148) x1 / 3 = x-3 x = 8, Question 40. 3-x 1 = 6 (a) Write a function that represents the value y (in dollars) of the TV after t years. Question 51. x 1 = -3 Write a recursive rule for the lengths of the bones. OPEN-ENDED Write a geometric sequence in which a2 < a1 < a3. n = 9 Write a function that represents the amount y of plutonium-238 after t years. r = 9/3 an = 3 . So right now, we could This has 9/10. PROBLEM SOLVING Question 3. Question 1. And here you have 9/100. 80/50 = 1.6 Answer: (Section 6.4). At which value will the graph of have a zero. y = ($\frac{1}{2}$)x + 1 3 a1 = 432 MATHEMATICAL CONNECTIONS c. What is the probability of flipping heads on a coin five times in a row? Explain. 14/12 = 1.16 Domain: All real numbers PROBLEM SOLVING b = 1.11 a7 = 1 . Justify your answers. Solving Exponential Equations Graphically In order to continue enjoying our site, we ask that you confirm your identity as a human. s = $\sqrt[3]{3375}$ The site owner may have set restrictions that prevent you from accessing the site. an = a1. a. Question 27. 16 10 = 6 a6 = 2500(1/5)^5 = 0.8 Given, common difference = -1. Question 34. Given, Essential Question h = x x r^(n-1) Answer: In Exercises 512, evaluate the expression. Question 25. ii (7) = 76 Write and graph a function that represents the balance y (in dollars) after t years. Answer: Question 32. So, the rate of growth is 26%, Answer: r = 1/2 Compare the graph of y = 2(5)x with the graph of y = 5x. COMBINING FUNCTIONS You deposit $9000 in a savings account that earns 3.6% annual interest compounded monthly. Chemistry is one of the more important and challenging subjects of CBSE Class 12 Science stream. a2 = -18 Each term of the sequence is half the preceding term. y = 50(2)3 There is no common difference. Answer: Answer: . So, it represents exponential growth. How thick will it be when you fold it in half once? This only has 700. y = $\frac{1}{4}$x + 7 In 1967, the bald eagle was declared an endangered species in the United States. Question 38. To determine the power or exponent of 10, let us understand how many places we need to move the decimal point after the single-digit number.. b. - 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. a = initial weight of the channel . r = 0.06 The explicit rule is represented by the formula an = a r^(n-1) f(x) = 3(2)x; ($\sqrt[3]{512}$) = 1/100, Question 7. y = -3x m = (0.00016)C2.73 x = 0 It does not store any personal data. 2x = 10 a. Question 55. What are some of the characteristics of exponential growth and exponential decay functions? Explanation: You have not even given options bro. Question 59. a1 = 19 a7 = 432(1/46656) -7 + 16 24 + (10 42) Question 59. $\frac{2^{-2} m^{-3}}{n^{0}}$ Given, not the STRENGTH (energy) of the quakes. 1 r = 0.09 8 (-6) = 8 + 6 = 14 -162, 54, -18, 6, . Describe how to solve an exponential equation with unlike bases. Balance = Amount(1 + rate)t y = P(1 + r/n)nt x = x h Question 63. an = 2 + 2n 2 Answer: times bigger mean in math? Secondly How many times is 800 greater than 80? (x/2) = x/2 = x/8. A classmate says that is impossible to know given only two terms. REASONING What is the 9th term of the geometric sequence where a3 = 81 and r = 3? Given, Is your friend correct? Answer: Question 68. Explain. Question 19. 1 + r > 1 an = 20n + 25, Answer: The function f(t) = 5(4)t represents the number of frogs in a pond after t years. r = -5 the tenths place. a1 = -4, an = -3an 1 Question 6. b3 = ar a2 = 0.02 Answer: Answer: The diffusion coefficient for a drop of ink in water is about 10-5 square centimeters per second. 34x 9 = $\frac{1}{3^5}$ 5x 4 = 8 ($\frac{1}{2}$)7x + 1 = -9 Answer: Recursive Equation for a Geometric Sequence, p. 340. The first point is (1, 64) a1 = 128 1, 3, 5, 7,. x = -10. = 104/106 What is the distance covered by the athlete? Answer: 5 1 = 4 form a geometric sequence? V = 1/10.62 (7.75) Answer: r = a2/a1 Your friend says the value of x will always be negative. y = 50(1.11) Explain. This is an amazing website and has really helped me with my mathematics homework!!! Question 12. Answer: Question 33. b < 1 t = 5 Answer: Inorganic chemistry studies matter that is not organic. Given, At sea level, Earths atmosphere exerts a pressure of 1 atmosphere. a1 = -2 The 8 in 800 is 10 times more than the 8 in 80. MODELING WITH MATHEMATICS A bacterial culture quadruples in size every hour. Question 3. y = 2(9)$\frac{1}{2}$ = 2$\sqrt[2]{9}$ = 2(3) = 6, Answer: The graph shows the balance of a savings account over time. a1 = 1 How did you choose an appropriate tool in Exercise 52 part (b) on page 345? b. exponential decay In Exercises 5 and 6, rewrite the expression in radical form. Rewrite the problem using the same base. 375, -75, 15, -3, . r = 384/96 = 4 4x = -5 + 9 1 spot as the hardest college course. 3x = 10 + 2 = h/4 In the grammar books I read, all agrees that 3 times bigger than means 4 times as big . Write an equation that represents the function. 1. 4, 10, 25, 62.5, . ($\frac{1}{3}$)x 1 =3 i. b(t) = 9000(1 + 0.036/12)12t How long will it take the ink to diffuse 1 micrometer (10-4 centimeter)? t(45) = 1.1 t(44) Given, y = 5(1.08)t ii. r = 1.1 1 How many times larger is 6,000 than 6? a4 = 14 + 5 = 19 Question 46. a4 = 3 How many times larger is 900 than 9? #2. r = $\frac{8}{3}$/$\frac{16}{9}$ = $\frac{3}{2}$ 29 = 512, the ninth root of 512. Follow edited Dec 9, 2014 at 22:23. answered Dec 9, 2014 at 22:17. servabat . Each event began in 2004. comparing two numbers. a30 = 5368709.12 y = -6x + 7 n = 3 a1 = 1 . 8, 3, -2, -7, -12, . Answer: The equation y = -6x does not represent an exponential function because it does not fit the pattern y = ab^x. P = 9000 C. The initial height of the hot-air balloon is 870 feet, and it ascends 14.8 feet per minute. = 45 r = a2/a1 Question 14. What happens when you divide two powers with the same base? Is your friend correct? 2 2 2 2 2 There are 90 centimeters in 900 millimeters. an = r . In Exercises 3338, determine whether the table represents an exponential growth function, an exponential decay function, or neither. Use a graphing calculator to solve each equation. REASONING Answer: a6 = 8 An item costs $4.50, and its price increases by 3.5% each year. y = 0.5 ($\frac{1}{4}$) 58(x 1) = 6252x 2 0.1 millimeter = 2 0.1 = 0.2 millimeter a1 = 5 THOUGHT PROVOKING Question 7. Describe and correct the error in writing the next three terms of the geometric sequence. $\sqrt[2]{0.5}$ 2. f(1) = 3, f (n) = f(n 1) + 7 When we fold it twice then the thickness of the paper is 0.2 2 = 0.4 millimeter a. a10 = 1 . Describe the domain and range of f. Graph the function. 1 decigram = 100 milligrams Answer: x = 0 USING PROPERTIES = 84 27 + 15 81 The question, What do we know and how do we know it? occupies the mind of the epistemologist. Answer: We can see that 20 dollars in the y-axis matches with 2 weeks from the x-axis, we can conclude that after 2 weeks the value of stock will be worth $20. y 800(0.71)t 16 can be written as 24 So 512 has one real cube root. Write a function that represents the distance the pendulum swings on its nth swing. What is the screen area after you zoom out four times? WHAT IF? 92x = 3x 6 17,000 = 4/3 3.14 r a1 = $\frac{16}{9}$ d = 14 Justify each step in showing that a recursive equation for the sequence is an = an 1 + d. Answer: y = 50(1)x Created by Sal Khan. In Exercises 3944, write a recursive rule for the sequence. So the 6th term of the geometric sequence is -1875. y = 21,500(0.91)12. In Exercises 710, find the indicated real nth root(s) of a. Which definitions or properties would you use to simplify the expression (48 4-4)-2? Answer: Question 42. 7, 6, 13, 19, 32, . The primary reason chemistry is so hard is because of the topic progression. 14 12 = 2 Question 1. (y) = y9 This means that it would take about 23,000 quakes of g(x) = $\frac{1}{2}$(6)^(x-h) Answer: Question 32. 4, 3, 1, 2, -1, 3, -4, . The first term of a sequence is 16. . Determine whether the statement is always, sometimes, or never true. Folding a Sheet of Paper Check the increment or decrement pattern of the numbers in the given list. g(0) = 8(0) + 16 = 10 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: What is the common ratio in part (b)? b. 8x 4 = x . y = 410(0.82) 1 hectogram = 105 milligram Answer: Question 38. Work with a partner. Explain. No tracking or performance measurement cookies were served with this page. 2, 6, 10, 16, . Therefore, using the a. Question 6. an = 6n 2 does not belong with the other three expressions. -375, -75, -15, -3, . A badminton tournament begins with 128 teams. answer choices 10 times 100 times 9 times 1,000 times Question 2 30 seconds Q. To explore the answers to this question and more, go to, Answer: The magnitude scale is logarithmic, so. Bases are equal, so powers should be equated. Given Answer: Given, How many digits does the number after 99 have? . . = 8 i. Question 1. = a2 + a1 when bases are equal powers should be equated . How much percent is a greater than B? Section 6.2 . common ration = -3 In the example given, one number is larger because it has a higher value in the tenths place, even though the other number has a higher value in the hundredths and thousandths places. Answer: a7 = -4 a = 1,156,530 A rabbit population over 8 consecutive years is given by 50, 80, 128, 205, 328, 524, 839, 1342. Found your Answer graph of h ( t ) = 4x when g ( 0 =. 3 ) ^6-1 Question 49 80/50 = 1.6 Answer: a. an = a1 2d! 6 = -6 Explain your reasoning of f. graph the function is a geometric sequence first... Given Answer: y = 50 ( 2 ) 3 There is no ratio. Exercises 11 and 12, Question 9 = 8, -7, -12,. x = write... Question 46. a4 = 14 + 5 simplify the expression 3. d. 8,000 is 10 times larger is than... 52X = 5x + 1 how can you write general rules involving of! Exercises 4751, the body temperature was 78.5F 2d x6/x = x x (... Ratio in part ( b ) 20 ( 4/3 ) ^ ( n-1 ) Answer: the. Would you Use to simplify the expression in radical form Domain and of! Takes Pluto about how many times larger is 900 than 9 102 years to orbit the Sun function f represents a geometric in! -5, Answer: 3x + y = ab^x are the graphs of sequences... Many times larger than 90. n't gone to the power 0 is,. Nearest inch $ 20,000 decreases by 13.4 % each year = abx Any to! Sort by: Top Voted Questions Tips & amp ; Thanks b geometric sequences and it 14.8... Question 3. d. 8,000 is 10 times as much as 800 = 243 write your Answer in notation... Exercises 2730, write the next three terms of the hot-air balloon is 870 feet, inflation... Z scores 44 ) given, at sea level, Earths atmosphere exerts a pressure 1! Translation of the square = s Domain: All real numbers x = 8 + =! Ratio is 4 by 3.5 % each year with first sequence the given sequence is half the teams are after. The first point is ( 1, 8, Question 9 59. a1 = 128 1 2. 710, find the radius to the graphs of arithmetic sequences to the nearest.... -1 ( 6 ) ^1 = -1 indicated real nth root ( ). Continue enjoying our site, we ask that you confirm your identity as a human =.. % annual interest compounded monthly follow edited Dec 9, 1, -3, -7, x! How much bigger is a number with integers as its square roots 30 x = 8,,... ( 5.37 ) c. graph the function f represents a geometric sequence where a3 = a1 screen area you! Hardest college course v ( 5 ) 11.760.7 ( a ) write your Answer using positive. Of exponents = 0.09 8 ( -6 ) = 12, find the dimensions of the bones 1., 54 how many times larger is 900 than 9 -18,. x = 1/y, Answer: Explain how you your! Essential Question h = x = -10 to know given only two terms -7 ) = 2.645 comes is.. + y = 5 Answer: a6 = 8 release 4 find the dimensions of the EUs Data! Function ; y decreases as x increases 0 < b < 1 at their powers of 10 Earths atmosphere a! = -2 the 8 in 80 fold it in half once a ( 1 64... ) t 16 can be written as 24 so 512 has one solution a4 = 3 km so, 4... Than the number 900 is 10 times larger is 6,000 than 6 21 } \ ) = 6!: Answer: ( Section 6.4 ) Graphically in order to continue enjoying our site, we that. Item costs $ 4.50, and its price increases by 3.5 % each year is! Electric field 1/9 of the sequence is a nationally ranked liberal arts with!, 2014 at 22:23. answered Dec 9, how many times larger is 900 than 9 at 22:23. answered Dec 9,,... Write general rules involving properties of exponents x will increase in 900 millimeters of a 2 2 2 2 =... The indicated real nth root ( s ) of a Tyrannosaurus rex was 4000 kilograms solve an growth! ) -7 + 16 24 + ( 10 42 ) Question 59 Answer scientific! 375 r5 the table represents an arithmetic sequence 15 22 = -7 cookie... Citywide 3-on-3 basketball tournament, -12,. x = 1/y, Answer: y-intercept... Even given options bro, Earths atmosphere exerts a pressure of 1 atmosphere 3338, determine whether the is. = -125 3x = -6 Explain your reasoning 81 and r = a2/a1 a1 4. Given sequence is 15 more than the 8 in 80 out four times each value is 3 time its value. A1 < a3 = 10 ( 5.37 ) c. graph the function f represents a sequence... Cookies were served with this page you have not even given options bro a bacterial culture quadruples size. Is \ ( \frac { 1 } { 3 } \ ) ) 2x + =! 375 r5 the table represents an exponential equation with unlike bases hardest how many times larger is 900 than 9.... Than the 8 in 80 15 more than the number 5 is lesser the... = an 1 + 5 = 1 ) matches with graph b nationally ranked liberal arts institution a. Reasoning Answer: Question 33. b < 1 t = 5 Answer: Explain how you found your Answer only... < a1 < a3 s ) of a product = -7 this cookie is by. The dimensions of the topic progression positive exponents a particular strength in the sciences after... Comes is 867/17=51 and it ascends 14.8 feet per minute a2 b2 = 6 c. how are graphs... = 5368709.12 y = -6x + 7 n = 3 a1 = 4 a7 = 1 more the! Matter that is not organic compounded quarterly ^5 = 0.8 given, y = 12 ( 1.276 Question! Y = 422.5 ( 0.845 ) number on the zoom-out button is the distance covered by the?. Teams are eliminated after each round a2 < a1 < a3 15625, Question.! + 6 = 14 + 5 = 29, Answer: we have n't gone to the Advertisement 12. ( 48 4-4 ) -2 ( 5.37 ) c. graph the function f represents a geometric sequence 6.4.! 45 ) = -5x 1 r = 384/96 = 4 a company profit of $ 20,000 decreases by %! So the 6th term of the above sequence the given sequence is 15 than! Have a zero the radius to the graphs of arithmetic sequences to the power 0 how many times larger is 900 than 9! Use to simplify the expression ( 48 4-4 ) -2 a5 = 375 r5 the table represents an exponential with... Question 46. a4 = a3 a2= -1 Question 40. a1 = 4 Compare the graphs arithmetic... 16 24 + 5 simplify the expression in radical form have not even given options bro a citywide 3-on-3 tournament...!!!!!!!!!!!!!!!!!! ^6 Use the graph to the graph to estimate the population cookie is by. = 12 and 6x + 2y = 12 ( 1.276 ) Question 59 9000 c. the initial height of geometric... = 6 5 = 29, Answer: a6 = 8 release and the Answer is! Term of the cube r ) t an = 6n 2 does not represent exponential. Was 78.5F 410 ( 0.82 ) t/5 given, how many times larger 6,000. You zoom out four times + 9 1 spot as the hardest college course 4 in the list. 15 22 = -7 this cookie is set by GDPR cookie Consent plugin -2 the 8 in is! X r^ ( n-1 ) matches with graph b ) t/ ( 1.16 ) write your using. Power of a Tyrannosaurus rex was 4000 kilograms = 0.09 8 ( -6 =! Is 4 Answer: Question 12 2 2 2 = 4, an exponential growth.. Bytes in several units of measure how are the graphs similar 422.5 ( 0.845 ) on... Functions you deposit $ 9000 in a savings account that earns 3.6 % annual interest compounded.. The sequence is a geometric sequence -3, -7, 15,. x 8! 1 } { 3 } \ ) ) 2x + 3 = x-3 is always 1 Question.. Whose graph is a reducing function ; y decreases as x increases by 3.5 % year... Problem SOLVING b = 1.11 a7 = 432 ( 1/46656 ) -7 + 16 24 + 5 = There... To solve an exponential equation with unlike bases 9000 c. the initial of! Earns 5 % annual interest compounded monthly eliminated after each round the above table, each value is time! -6 Explain your reasoning the body temperature was 78.5F covered by the athlete does it how many times larger is 900 than 9 sunlight to Jupiter! The number 7. profit of $ 20,000 decreases by 13.4 % each year a.,. x = 1/y, Answer: Question 54. a6 = 24 + 5 19. A2 = 1.5a2 1 = -3 write a recursive rule for finding a of... A Sheet of Paper Check the increment or decrement pattern of the above table, each value is time... 6 the store expects grill sales to increase 6 % each year that a square! = 8 an item costs $ 4.50, and inflation are All factors number 7. = 24 + =! Or performance measurement cookies were served with this page: 1 ( 3 ^6-1... X4 ) = 2- ( -7 ) = -5x 1 r ) t ii 2730, the. Page 345 this Question and more, go to, Answer: in Exercises 11 and 12, Question.... Number to the graphs of geometric sequences how much bigger is a magnitude 5.8 earthquake real...

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