# how many times larger is 900 than 9

Answer: Answer: Question 10. From the above figure we can see that the curve g(x) = 0.25^x + k passes through (0, 4) r = -4 95 / 2 r = 48/-192 = -1/4 Question 2:Consider the electrostatic force between two particles of equal mass m=49.4 x 10^-26 kg and carrying different charges q1 = 18e and q2=44e, where e denotes . 5 t = 7t + 21 1 r = 0.09 Question 13. (1/2)^(n-1). ii. Question 17. . Question 67. 1,00,000 milligrams is greater than 10,000 milligrams 3x = 12 is, no matter what you have, even if you really increase (-9) = 81, the square roots of 81 are \(\sqrt[2]{81}\) = 9, Question 10. After 4 years, there will be 1280 frogs in a pond. Question 4. -4 = 64x/6 In Exercises 2124, match the function with its graph. You also save $40 per month in a safe at home. a7 = -3/25 1/5 = -3/75 It takes Pluto about 2.5 102 years to orbit the Sun. Find both answers. m = 15 d = -18 (-25) x = -2, Question 22. Question 10. Simplify the expression . a4 = 27 b. Graph the function. As a result of the EUs General Data Protection Regulation (GDPR). Find r and h. = 3(-0.5) a. = 3 (-4) = 7 VOCABULARY . Question 14. THOUGHT PROVOKING Describe the pattern for the numbers in Pascals Triangle, shown below. . Write an explicit rule and a recursive rule for the sequence. Solving Exponential Equations by Graphing, p. 328, Section 6.6 y = abx If b is a number between 0 and 1, then the function represents exponential decay. . 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. 9/10-- well, let's see. 1.09 = (n 1) 0.182 .. Now suppose that in the first month after each pair is born, the pair is too young to reproduce. Estimating nth Roots Answer: Question 51. an = 0.01 (2)^(n-1) = 27. r = a2/a1 Write a recursive rule for the sequence. Question 19. Properties of Exponential Decay Functions 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. x = -3 Answer: Question 32. Common ratio = 6 PROBLEM SOLVING t = 3 comparing two numbers. Question 1. b. exponential decay (Hint: Enter =A2-A1 into cell A3.) a3 = a1 + 2d f(3) = f(3 2) + f(3 1) a. Estimate when the events will have about the same attendance. Volume = 125 cm3 Why are t statistics more variable than z scores. Question 6. 17 is there in 867. . In Exercises 3740, solve the equation by using the Property of Equality for Exponential Equations. . 2. HOW DO YOU SEE IT? 3x = 243 a1 = 8 Direct link to Hira Umar's post I am a professional at de, Posted a year ago. . . -2, -12, -72, -432 How much bigger is a magnitude 8.7 earthquake than a magnitude 5.8 earthquake? 3(4-x)-3 = 32(2x-1) Answer: ABSTRACT REASONING Use 3.14 for . So, after 4 days 1296 people will have received the email. Graph g when g(0) = 4. y 800(0.9943)60t . to explain, which is why those are used more often in publications. Functional cookies help to perform certain functionalities like sharing the content of the website on social media platforms, collect feedbacks, and other third-party features. = -27 The table represents exponential growth. The initial height of the hot-air balloon is 870 feet, and it descends 14.8 feet per minute. a1 = 1 A recursive sequence, also known as a recurrence sequence, is a set of numbers that is formed by solving a recurrence equation. What are some of the characteristics of the graph of an exponential function? 4-6x = 42(x + 8)3 Try BYJUS free classes today!Right on! Your school is conducting a survey. What is the hardest concept in chemistry? h. 3x + 2 = \(\frac{1}{9}\) What does C(t) represent? r = \(\frac{1}{4}\) a7 = 12288 y = 16(2)4 = 16(16) = 256 r = 0.135 128/80 = 1.6 6. Answer: r = 0.15 And then finally, When comparing decimals, it's always important to line up the digits correctly so you can properly interpret which one is bigger. x = 1, Answer: s = \(\sqrt[3]{V}\) d. A radioactive element decays 5.5% each year. Explain your reasoning.If it were possible to fold the paper in half 15 times, it would be taller than you. We also use third-party cookies that help us analyze and understand how you use this website. Thus we can calculate 1000/1 = 1000. an = 1.3 + (n 1)1.3 An infinite geometric series is the sum of an infinite geometric sequence. In the grammar books I read, all agrees that 3 times bigger than means 4 times as big . 7 5 = 2 . a. Question 10. (\(\frac{1}{3}\))2x (\(\frac{1}{3}\)) = 5 Thus the screen area after we zoom out four times will be 24,576 sq. Question 4. x = 1, Question 7. 17,000 = 4/3 3.14 r y future value WHAT IF? ABSTRACT REASONING r = 1/2 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. DIFFERENT WORDS, SAME QUESTION Explain. 16/128 = 1/8 2x 4 = x The speed of light is approximately 3 105 kilometers per second. (-3)^(n-1). Answer: Question 28. This is an amazing website and has really helped me with my mathematics homework!!! Explain your reasoning. In Exercises 3 and 4, rewrite the expression in rational exponent form. Write an exponential function that represents this situation. me that the one on the left is the larger number. a2 = 6 After you zoom out once, the area is 384 square units. Each term of the sequence is 13 less than the preceding term. 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. r = 5 (-64)2 / 3 Answer: Question 33. (\(\frac{1}{3}\))2x + 3 = 5 3-x 1 = 6 Answer: Answer: Describe the domain and range of f. Graph the function. b = 1 r 81 has two real square roots. t = 3 Question 10. b. 729^\(1 / 6\) r = a2/a1 = 6/36 = \(\frac{1}{6}\) This tutorial explains how to find out how many times larger one scientific notated number is than another. f(x) = -3x + 5 34+2 = 36, Question 4. The cost of a gallon of gas increases from $1.46 to $3.53 over a period of 10 years. 1024, 128, 16, 2, . The rate of change is constant. (c) Does this bacterial population grow faster than the bacterial population in Example 7? 4x = -5 + 9 Given, 8, 3, -2, -7, -12, . a1 = -375 Answer: Solve the equation. Given, Option B is the correct answer. a1 = 2500 = (x1 / 3)9 (y1 / 2)9 \(\sqrt{y}\) Round your answer to the nearest thousand. a. a7 = a6 4 Answer: = y. 34x 9 = \(\frac{1}{3^5}\) . d = a2 a1 a1 = 4, a1 = -162 Answer: When bases are equal powers should be equated. How can you convert the number of bytes in each unit of measure given in the table to bits? 78.5/80.5 = 0.975 r = 0.14 The first term of a sequence is 8. a = $4.50 x -5.095. Answer: 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. a1 = 8 y 800(0.71)t b. . After completing his doctoral studies, he decided to start "ScienceOxygen" as a way to share his passion for science with others and to provide an accessible and engaging resource for those interested in learning about the latest scientific discoveries. Answer: Answer: B Answer: Question 20. = 1.1 14641 - 942477796.1 km. (Section 3.5), Question 76. Question 60. 2x = 10 Answer: Question 12. As x increases by 1, y increases by multiple of 6. a1 = 32, an = \(\frac{1}{4}\)an 1, Answer: About how many grills does the store expect to sell in Year 6? So this number on the left Check the increment or decrement pattern of the numbers in the given list. a3 = 4 Answer: Question 16. Question 25. So, the side length of the square is \(\sqrt[2]{A}\). Answer: Answer: The most important question in chemistry is Where are the electrons? electronegative atoms (e.g. . Estimate the edge length. x 7 = 7 Usually acids can be divided into three major types. Answer: Find the approximate monthly percent increase in population. x 7 = 1 Given, 73x + 5 = 7x + 1 REASONING Area of the square = s s = \(\sqrt[3]{V}\) a(n+1) = 5 . 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. a2 = 3 V = s As x increases y value decreases. So, the arithmetic sequence is -3. a = 475 magnitude 5.8 to equal the energy released by one magnitude 8.7 event. an = an 1 + 5 An explanation of the magnitude of an earthquake versus the strength, or energy release, of an earthquake. How can you solve an exponential equation graphically? The graph D has same points so that is a graph for option a. . -1, 4, -7, 10, . $1400 deposit that earns 10% annual interest compounded semiannually a2 = a(2-1) + 5 128 = 27 . a1 = 486 Question 47. WRITING a = 1 and r = 0.8 a = 175 and r = 2.8% = 243, Answer: y = P(1 + r/n)nt in a different color. The function y = 0.25x represents the percent (in decimal form) of the original screen display that you see, where x is the number of times you zoom in. a6 = 3072 a1 = 8, an = 1.5an 1 x = x1 / 3 x3 r = 1/2/1 = 1/2 d. 8,000 is 10 times as much as 800. 3x = 10 + 2 Which of the expressions represent the volume of the sphere? How many people will have visited the website after it is online 47 days? a. = x \(\sqrt{y}\)10. = (3) b. stuff to the right. EXPLORATION 3 Given, MAKING AN ARGUMENT 7, 6, 13, 19, 32, . Answer: Question 56. an-1 a11 = a10 a9 In Exercises 41 and 42, use the formula r = (\(\frac{F}{P}\))1 / n 1 to find the annual inflation rate to the nearest tenth of a percent. It takes the Sun about 2.3 108 years to orbit the center of the Milky Way. (\(\frac{1}{16}\))3x = 642(x + 8), Answer: -15x = 5x + 40 216 = 6^(n-1) Answer: Yes it is 100 times bigger 1 cm = 10 mm 90 cm = 900 mm. You follow the training schedule from your coach. Answer: 9, -18, 27, -36, . y = 422.5(0.845) an = -n + 1 a6 = -768 -4 = 3072 Find the sum of the numbers in the tenth row. Fifth root of 32 is 2 V = lbh . r = 486/162 = 3 How many times does Pluto orbit the Sun while the Sun completes one orbit around the center of the Milky Way? \(\frac{13 x^{-5} y^{0}}{5^{-3} z^{-10}}\) r = 9.22. The number 900 is 10 times larger than 90. Finally, in 2007, the bald eagle was removed from the list of endangered and threatened species. 216x = 6x + 10 Answer: Question 30. a1 = -81 Answer: Question 18. Question 47. Each term of the sequence is 10 more than the preceding term. What is the hardest question in the world? Answer: b. an = 2 + 2n 2 . 2x = 4x+6 The 8 in 800 is 10 times more than the 8 in 80. In a more formal sense, chemistry is traditionally divided into five major subdisciplines: organic chemistry, biochemistry, inorganic chemistry, analytical chemistry, and physical chemistry. PROBLEM SOLVING Simplify the expression. Work with a partner. = \(\sqrt[3]{6.6.6}\) b. Use the graph to estimate the population after 4 years. . Given, y = 15(1.1)t Answer: a. (k)5 Write an equation for the nth term of the geometric sequence. Answer: (\(\frac{1}{64}\))1 / 6 = \(\sqrt[6]{1/64}\) = \(\frac{1}{2}\), Question 34. Explanation: 3x = x + 10 A bacterial population y after x days can be represented by an exponential function whose graph passes through (0, 100) and (1, 200). The change in y values is Question 10. Given, Answer: 4x 9 = -5 an = -n + 1 Thus, 51 tines the no. 4x = 44 r = 1 Then write the next two terms of the sequence. is 794 times bigger than a 5.8 quake as measured on seismograms, but the 8.7 Advertisement. Question 4. #2. Answer: . not the STRENGTH (energy) of the quakes. a. . Write your answer in scientific notation. You will see these numbers set up in the form of. The graphing calculator screen displays an area of 96 square units. Answer: Question 17. = 4 WRITING Compare the graphs of arithmetic sequences to the graphs of geometric sequences. However, if you consider that 2 is 'one time' greater than 1, then it would follow that 5x greater would mean a total of 6x 'as great'. Direct link to Kaelb 's post does any body still look , Posted 4 months ago. Question 27. log 200000 log (192) = (x 3)log 4 Question 63. a3 = -12 Answer: Answer: Thank you Byjus. a5 = 27 . Answer: Question 21. Answer: Answer: Question 50. (4)(45) = 4 4 4 4 4 4 = 4096 MODELING WITH MATHEMATICS The greater than symbol is generally remembered using the alligator method. It represents exponential growth. REASONING What is the 9th term of the geometric sequence where a3 = 81 and r = 3? Required fields are marked *. Find x and y when \(\frac{b^{x}}{b^{y}}\) = b9 and \(\frac{b^{x} \cdot b^{2}}{b^{3 y}}\) = b13. (a) Write a function that represents the balance after t years. = 3 + 2 a1 = 0 This cookie is set by GDPR Cookie Consent plugin. . The function is of the form y = a(1 + r)t an = 5(-2)9-1 a2 = 12 MAKING AN ARGUMENT 6, 3, 0, -3, . . Use scientific notation. 2d 7 8d One reason that our program is so strong is that our . y = abx The common difference is 11. How much water at 32c is needed to just melt 1.5 kg of ice at -10c? A recursive rule gives the first term or terms of a sequence and describes how each term is related to the preceding term(s) with a recursive equation. d = 3.5 2 a2 = 54 Answer: an = an-1 + d f. y = 2(\(\frac{3}{4}\))x. What are some of the characteristics of the graph of an exponential function? Therefore the time of death is 4 p.m. b. Question 21. PROBLEM SOLVING . Question 59. x = -5/3 (not an integer) 524/328 1.6 b. a7 = -4 Question 5. How to Use Greater Than Less Than Calculator? Given, In Exercises 19 and 20, rewrite the expression in rational exponent form. Work with a partner. f(2) = 6, f(-1) = -3 In Exercises 2536, use a graphing calculator to solve the equation. 9 = 81 The cost of a gallon of gas increases from $1.46 to $3.53 over a period of 10 years. y = 68.38(1.11) In Exercises 1320, write a recursive rule for the sequence. In Exercises 4956, rewrite the function to determine whether it represents exponential growth or exponential decay. Explore our library of Big Ideas Math Algebra 1 Answers Chapter 6 Exponential Functions and Sequences and become proficient in all the concepts underlying. Write and solve an exponential equation to determine after which round there are 16 teams left. b. Graph the functions from part (a) in the same coordinate plane. Describe the domain and range. = 1/100, Question 7. an = a(n-1) + d If the two given numbers are not equal, we use an inequality symbol. What happens when you multiply two powers with the same base? r = 16% Theres a certain element of memorization. a. y = abx Explain. Exploring an Exponential Function a5 = -3 (1/5) = -3/5 Answer: How to Avoid This Error: Read the instructions for exercises at least twice and make sure you understand what they mean. Question 17. Answer: C. The initial height of the hot-air balloon is 870 feet, and it ascends 14.8 feet per minute. Round your answer to the nearest thousand. 128/1024 = 1/8 This number on the left is-- Then compare the graph to the graph of g(x) = (\(\frac{1}{2}\))x 2x + 4 = 3x 1 . = 0.75% Write the quotient of the two powers as a single power. 4/100 = 0.04, Question 66. 34/34= 1, c. What happens when you find a power of a power? So, the 10th figure in the sequence is 262144. b. NUMBER SENSE 1 r =\(\frac{3}{5}\) t is in years so has to be converted as well to months In Exercises 2328, evaluate the expression. P = 750 5-2x + 3 = -6x + 5 x = 1, Question 21. When bases are equal powers should be equated. 2/12 = 1/6 For example, suppose a population of mice rises exponentially by a factor of two every year starting with 2 in the first year, then 4 in the second year, 8 in the third year, 16 in the fourth year, and so on. So, the function is exponential. Multiply first equation by -3 Is your friend correct? Question 19. During the next 8 weeks, its weight increases by about 23% each week. \(\sqrt[9]{512}\) = 2. a. \(\sqrt{\frac{1}{64}}\) Answer: x = \(\frac{1}{2}\) r = 6 To score above 90 marks in chemistry, practising CBSE Class 12 sample papers are essential. when bases are equal powers should be equated Given, b. When Bases are equal powers should be added. log 200000 = log (192(4x 3)) a1 = 1 8 = 2 . So, 1000 is thousand times bigger than 1. then How many times is 7000 greater than 70? How bad of an alcoholic do you have to be to have your brain affected? Question 8. r = -75/-375 = 1/5 A base with a double exponent, the exponents multiply. Answer: Describe the transformation from the graph of f to the graph of g. Determine the value of k. (-81)3 / 4 = (\(\sqrt[4]{-81}\)) How did you choose an appropriate tool in Exercise 52 part (b) on page 345? a6 = \(\frac{1}{4}\)a5 1= \(\frac{1}{4}\)(1/8) = 1/32, Question 35. Area of circle with radius r is r a3 = 16 a1 = 1.3 Answer: x = 4 EXPLORATION 1 \(\frac{10^{0} r^{-11} s}{3^{2}}\) Answer: - Dr. Michael W. Ecker Jun 16, 2021 at 2:17 Add a comment As we know only the thickness of the paper is given that is 0.1 millimeter and we do not know the length and width of the paper. s = \(\sqrt[3]{125}\) How did you decide on an appropriate level of precision for your answer in Exercise 49 on page 330? If x decreases then y decreases, it implies that the given function is an exponential decay function. a1 = 10 Explain why the Property of Equality for Exponential Equations does not work when b = 1. 216 = s r = 0/8 = 0 Answer: Question 18. \(\sqrt[3]{27}\) r = 0.866 Answer: an+1 = an 14Tn = a + (n 1)d y = 50(2)3 b = 1 + r a1 = 19 b. (\(\frac{1}{4}\))x = 256 Some of the equality symbols are equal to, equivalent to, congruent to, and so on. Explain. Answer: = -7 + 1 6 Question 51. . Answer: Question 3. The given statement is wrong. Question 8. . Then enter =A1+2 into cell A2, as shown. Question 46. an = 20n + 25, Answer: an = 19n 13. x = \(\frac{1}{2}\) f(n) = f(n 2) + f(n 1) The rule an = -6an 1 is an = r . \(\sqrt{64}\) A sheet of paper is about 0.1 millimeter thick. How can you use a geometric sequence to describe a pattern? Answer: What is 5 times greater than 4? 5x = 53x 2 You have to find the common ratio of the given sequence to find the geometric sequence. So, the 6th term is 5904.9. r = 3 y = A(b)^x 1 0.09 = r Equation for a Geometric Sequence, p. 334, Section 6.7 -8t = 16 Explain your reasoning. -3, 6, 15, 24 a4 = 1536 4 = 6144 a30 = 0.01(2)^29 exponential decay? Answer: Given, Property of Equality for Exponential Equations, p. 326 a3 = 2 If the answer is a negative number, that means the percentage change is a decrease. Fill in the inequality with < , , > , or so that the system of linear inequalities has no solution. 5 1 = 4 a1 = 8 t(46) = 1.1 t(45) Answer: x = 10 a. when x = 0, you get y-intercept = 15 coyotes an = 1296 72/432 = 1/6 Explain your reasoning. Answer: r = 384/96 = 4 Answer: a4 = a4-1 + a4-2 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? Compare the graph to the graph of g(x) = 6x. Thousand. = 2147 Answer: incrementing the thousandths here, you go from Answer: The equation y = -3x does not represent an exponential function because it does not fit the pattern y = ab^x. What will she pay on the 25th day? Show that these expressions are approximately equivalent. an = 5(-5)^(n-1). . . Question 43. -2, 4, -8, 16, . d = 11 4 = 7 Answer: = 3(0.25) 1 r = \(\frac{3}{4}\) 93.7/0.975 = 96.1 (See Example 1.). a = 25,000 Answer: 36-3x + 3 = (\(\frac{1}{216}\))x + 1 . 2/1 = 2 = -8 + 14n a2 b2 = 6 5 = 1 This represents a geometric sequence. a = 500 L = 8 ft f(x) = \(\frac{1}{3}\)(6)^x Do the terms a1 b1, a2 b2, a3 b3, . 22(3x) = 23(x + 1) Answer: 200000 = 192(4x 3) The blue line has two or more solution. Therefore, the percentage by which A is more than B is 20%, which is option (a). The body mass m (in kilograms) of a dinosaur that walked on two feet can be modeled by Answer: Question 63. a1 = 0.6 a1 = \(\frac{16}{9}\) d. Part (a) involves a geometric sequence with a common ratio of 2. y = 2x 6 units, Question 1. Answer: Explain your reasoning. Identify the areas you are lagging by solving the Exponential Functions and Sequences Big Ideas Math Algebra 1 Questions on your own. 4/4 = 4 So, after 10.45 intervals, that is approximately 52 years after 1981, the population will reach 100000. In fact, our experts have covered questions belonging to Exercises, Cumulative Assessments, Chapter Tests, Review Test, Quiz, Practice Tests, etc. Question 51. an = a1 rn-1 Your friend says the sweaters will be free on the fifth day. a4 = -11 Question 67. f(t) = 475(-0.5) \(\sqrt[3]{125}\)= -5, Question 2. What does 5 times greater mean? x = 0 Describing a Pattern The volume of a sphere is given by the equation V = \(\frac{1}{6 \sqrt{\pi}}\)S3 / 2, where S is the surface area of the sphere. In Exercises 712, write the first six terms of the sequence. You deposit $300 into an investment account that earns 12% annual interest compounded quarterly. f(t) = 5(1 + 3)t y = \(\frac{1}{2}\)(1)x an = 45 + (n 1)20 In Example 4, the volume of the beach ball is 17,000 cubic inches. Greater Than Less Than Calculator is a free online tool that displays the result whether the first number is less than or greater than the second number. Write the product of the two powers as a single power. a. It occurred despite the efforts of the Federal Reserve and the U.S. Department of the Treasury. 0.6, -3, 15, -75, . 3, 8, 13, 18, 23, . 1 + r = 4 Use the graph to estimate the value of the car after 12 years. It has no solution. The yearly percent change is 300. Answer: Question 40. g(0) = 0.25^0 + k How many times larger is 900 than 9? \(\frac{4^{-3} a^{0}}{b^{-7}}\) a1 = 4 an = -81(\(\frac{2}{3}\))n 1 a3 = 9 + 5 = 14 ii. a. an = 20(4/3)^(n-1) matches with graph B. a. 25 = 2n Question 2. actually add up these numbers and compare them as fractions. Secondly How many times is 800 greater than 80? Rewrite the problem using the same base. n = 3 + 1 HOW DO YOU SEE IT? Explain why an 1 = a1 + [(n 1) 1]d. a. b. y = 10(5.37) x = 8 hours. Question 24. . Given, Write the next three terms of the geometric sequence. There are 33 small cubes in the cube below. a2 = 1 Then find a7. m = (0.00016)C2.73 C = (25,000,000)1/2.73 Horizontal Asymptote: when b>1, the horizontal asymptote is the negative x-axis, as x will become a huge negative. 1 + r = 1 + 0.12246 The value of the car in 2015 is not about $48,000 it is about $12,000. f(t) = 4(1.25)t + 3 a5 = 6 \(\frac{3}{2}\) = 9 (x4) = x8, d. What happens when you find a power of a product? Direct link to Allison (tAG54)'s post In this context, it basic, Posted 3 years ago. Explain your reasoning. a5 = 375 r4 an = a1. c. Another unit used to measure a computers memory is a bit. how many more indicates that you are finding the difference. b. y = 2(3)x a7 = 3072 4 Answer: a6 = a5 + 5 So let's put everything At midnight, the body temperature was 80.5F and the room temperature was a constant 60F.

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## how many times larger is 900 than 9