y = 422.5 34x + 3 = 81x t = time in weeks r + 1 = 1.06 a5 = a(5-1)+5 f(x) = 2-x When bases are equal powers should be equated. Answer: 1/8 = (1/2)^n Given, Write your answer in scientific notation and standard form. (Section 6.2) Given, 2, 8, 32, 128, . Answer: Question 46. The red line has one solution Answer: Given, Answer: Answer: Question 62. 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. Answer: Question 50. h(t) = 175(1.028)5 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. 1, 1, 2, 3, 5, 8 y = a(1 + r)t Weve got your back. A magnitude 8.7 earthquake is 794 n = 7 Play this game to review Other. a3 = a1 + 2d So, the 6th term is 3/16. r^(n-1) a5 = 375 (-5)4 = 234375 Given, Describe the domain and range. (\(\sqrt[5]{7}\))x = 52x + 3 . is times larger than .. Answer: Question 78. . So, the next three terms are 9, \(\frac{27}{2}\), \(\frac{81}{4}\). a1 = 8, an = an 1 12 Solving Exponential Equations by Graphing, p. 328, Section 6.6 Graph the function f(x) = -2x. Question 18. So, the rate of decay is \(\frac{1}{5}\) or 0.2 or 2%. You deposit $750 in a savings account that earns 5% annual interest compounded quarterly. -3, 6, 15, 24 a1/b1 = 2/1 = 2 not the STRENGTH (energy) of the quakes. Find and interpret the y-intercept. iii. c. Volume = 3375 in 1, 4, 16, 64, . Explain. V = 48 cu. Then graph the sequence. The y-intercept of g is -2. a2 = 16 How much bigger is a magnitude 8.7 earthquake than a magnitude 5.8 earthquake? When Bases are equal powers should be added. So, the common ratio is -1/3. Answer: Question 55. (\(\frac{1}{8}\))5x = 32x+8 \(\frac{1}{128}\) = 25x + 3 Volume = 27 ft y = 16(2) = 16(4) = 64 y = 12(1.05)5 Then find the cube root. \(\sqrt{21}\) Find and interpret the y-intercept. What is the value of the camper after 5 years? = \(\sqrt[4]{256}\)5 Explain how you can verify your answer in part(a). So, my friends claim is not correct. Answer: an = 45 + 20n 20 x1 / 3 = \(\sqrt[3]{x}\) (a) Write a function that represents the balance after t years. a1 = -3 Describing a Decay Pattern 3x = 243 0.1 millimeter = 2 0.1 = 0.2 millimeter a4 = 14 + 5 = 19 x = 10 Given b. Graph the functions from part (a) in the same coordinate plane. . -6d 7, Write a linear function f with the given values. The amount y of bacteria x hours after the culture is prepared is represented by y = 192(4x 3). 36, 6, 1, \(\frac{1}{6}\), . THOUGHT PROVOKING a2 = 384 Plutonium-238 is a material that generates steady heat due to decay and is used in power systems for some spacecraft. It is rounded to 1,160,000. . Explain why an 1 = a1 + [(n 1) 1]d. y = 42,500(1 + 3%) Answer: Answer: Question 46. 7, 6, 13, 19, 32, . . Essential Question Apply log on both sides -12 + 2 = 4x 3x a5 = -1 100 14 = 86 r = 0.12246 x = x h \(\frac{5^{a}}{5^{b}}\) = 5a-b, Answer: = 84 27 + 15 81 Identify the areas you are lagging by solving the Exponential Functions and Sequences Big Ideas Math Algebra 1 Questions on your own. . = 1/(25 . a6 = -3(324) = -972, Question 34. Describe the effect of a on the graph of y = a 2x when a is positive and when a is negative. Answer: . Question 17. 3-x 1 is a horizontal translation. 4, 20, 100, 500, 2500, . MAKING AN ARGUMENT y = 10(1 + 0.4)5 1 r = 9% Given, (-32)^\(7 / 5\) Answer: Common ratio = 4 Answer: Question 60. In Example 4, the volume of the beach ball is 17,000 cubic inches. 32 = 2n 1 + k = 4 The number 900 is 10 times larger than 90. . WRITING x = -4. this number on the right here is 9798/1000. a2 = 500 - 2,580,363.576 km. r = 6 = (7/6c) Answer: Question 19. 34x 9 = \(\frac{1}{3^5}\) 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. y = 500(0.845) \(\frac{1}{2}\)x 1 = (\(\frac{1}{3}\))2x 1 Question 30. Answer: Question 10. Assume the pattern continues. Direct link to 1209473's post can yall give us hints th, Posted 5 months ago. \(\frac{3}{49}\), \(\frac{3}{7}\), 3, 21, . r = 0.4 x =x1 / 3 + 3 The large cube is 3 times larger on each side. \(\sqrt{25}\) = \(\sqrt{5}\) = -5, Question 7. s = \(\frac{5}{2}\), EXPLORATION 2 an = 5(-2)9-1 f(-7) = 2-(-7) = 27 = 2 2 2 2 2 2 2 = 128, Question 3. an = 4 . Answer: 3x 2x = -4 Evaluate the function when t = 3. $1400 deposit that earns 10% annual interest compounded semiannually The table represents exponential growth. y = 1.5(2)\(\frac{1}{2}\) =1.5\(\sqrt[2]{2}\). a2 = 384 Explanation: Combine the like terms f (x) = \(\frac{3}{2}\)(0.25)x Answer: 7 5 = 2 The sequence is geometric, with the first term a1 = 5 and common ratio = 4 Section 6.4. r = 0.11 1, -5, 25, -125, . f(x) = 4x + 14 The body mass m (in kilograms) of a dinosaur that walked on two feet can be modeled by V = 27 = 729 cu. Answer: Question 32. 4x x = 9 r = 0.91 (-64)2 / 3 a5 = 6144 4 = 24,576 ERROR ANALYSIS You purchase a car in 2010 for $25,000. The monthly percent change is 12. d. How many frogs are in the pond after 4 years? = 5 A bacterial culture quadruples in size every hour. (1 r) decay factor = 2500/625 a. vi. Find the area of the bake sale sign. The green curve y = 2^x does not have a solution three times? Answer: Rewrite the formula using rational exponents. a. But it's Answer: Given, Answer: Answer: 4x x = -6 A population of 30 mice is expected to double each year. = \(\sqrt[2]{9}\)5 EXPLORATION 1 Answer: Which of the expressions represent the volume of the sphere? Measure the lengths of different sections of your hand. a8 = a7 + a6 2x = \(\frac{1}{2}\) a1 = 8 a1 = 1 Answer: REASONING The explicit rule an = a1 + (n 1)d defines an arithmetic sequence. REASONING What is the 9th term of the geometric sequence where a3 = 81 and r = 3? If the given number is multiples of 10 then the decimal point has to move to the left, and the power of 10 will be positive. Then graph g(x) = -2x 3. When bases are equal powers should be equated. Given \(\sqrt[5]{-243}\) = -3, Answer: 1400(1 + (0.1)/2)2t. 9/10-- well, let's see. Characteristics of the exponential function is Answer: Question 6. a1 = \(\frac{16}{9}\) x = -3 y = 12(1.05)t k10, Answer: 9, -18, 27, -36, . Answer: a7 = (-5)^6 an = 5(-5)^(n-1). The common ratio is 1/2 Answer: 6 Plot the points (0, 100) and (1, 200). f. Volume = \(\frac{125}{8}\) mm3, Answer: Describing a Pattern a3 = 20 r = 1.05 1 Answer: ln 3 = (n 1) ln 1.2 . We can observe that as the x-values increase by 2, then y-value is multiplied by 1/6. -20x = 40 OPEN-ENDED Write a sequence that has a pattern but is not arithmetic or geometric. y2/y1 = 1.58 People are 6 times taller than a piece of paper. MODELING WITH MATHEMATICS Given, #2. r = 48/-192 = -1/4 Question 25. As x is increased by 1, y is decreased by 4. w(0) = -5(0) 1 = 0 1 = -1 Question 31. 2/1 = 2 b. an = 20(3/4)^(n-1) matches with graph A. This means that a change of 0.1 in magnitude is about 1.4 times the energy number on the left? d. 8,000 is 10 times as much as 800. Explain how you found your answer. Explicit formula is Tn = -8+14n, Question 10. Answer: Question 44. The function is of the form y = a(1 r)t Answer: Question 42. Question 13. 3x = 6 2 Answer: Question 18. r = -1/4 -7 + 16 24 + (10 42) Then write a general rule for finding a power of a product. (\(\frac{1}{64}\))1 / 6 = \(\sqrt[6]{1/64}\) = \(\frac{1}{2}\), Question 34. (6a) = 36a Write your answer in scientific notation. x = 5. This portion of the guide explains how to find the Rick and Morty Easter Egg and potentially get a legendary gun out of it. an = r . 2x = x + 1 V = 43.84 cu. You deposit $500 in an account that earns 6.5% annual interest compounded yearly. 4x = -5 + 9 . an = a1 + (n 1)d 7x 4 = 78 . a = 900 COMPARING FUNCTIONS WRITING Compare the two sequences. Horizontal Asymptote: when b>1, the horizontal asymptote is the negative x-axis, as x will become a huge negative. One reason that our program is so strong is that our . a9 = a7 + a8 = 73 + 118 = 191 y = \(\frac{1}{4}\)(4)x; Explain. He also shares personal stories and insights from his own journey as a scientist and researcher. an-1. A farm increases in value from $800,000 to $1,100,000 over a period of 6 years. Given, Answer: We can remember the greater than symbol using this method. Question 2. a. = 0.75% -3x = 5 Use residuals to determine whether the model is a good fit for the data in the table. Direct link to Jrepsa's post At 1:00 why does Sal use, Posted 4 years ago. c. Did the student make a good choice or should she have chosen to live on campus? x = 3, Question 8. Explain your reasoning. a5 = 27 . b. y = 2(3)x The change in y values is Answer: Question 64. Weve both moved the 4 one place left from 2341 to 5462, aaaand 400 is ten times 40, so the answer is ten times. an = 6 . x = 8 a3 = -12 Bases are equal, so powers should be equated. x = 1500 0.636 34x + 3 = 81x y = 2(9)0 = 2(1) = 2 r = -12/-2 = 6 x = 0, 1, 2 -8 3 = -11 The graphing calculator screen displays an area of 96 square units. 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. The cookies is used to store the user consent for the cookies in the category "Necessary". Recognizing a digit in the tens place is ten times greater than the same digit that is one place to its right, in the ones place, doesn't have to be complicated. Answer: \(\sqrt[3]{-216}\) a1 = 4 c. Select two equations to support Student Cs claim. . Answer: 2, 6, 10, 16, . b. d = 11 4 = 7 . t(47) = 1.1 t(46) The size of the paper becomes smaller and the thickness of the paper increases. r = 36/12 = 3 . A company profit of $20,000 decreases by 13.4% each year. During the next 8 weeks, its weight increases by about 23% each week. iii. a1 = 1, a2 = 1, an = a(n-2) + a(n-1) 216x = 6x + 10 a4 = 72.9 a5 = 5 Explain your reasoning. Question 4. Answer: n = 12 = 9%/12 r = 1 \(\frac{3}{4}\) d. y = (\(\frac{1}{2}\))x Volume = 125 cm3 Why are t statistics more variable than z scores. Describe the pattern. 2. ERROR ANALYSIS r = ak+1/ak HOW DO YOU SEE IT? 8, 3, -2, -7, -12, . Therefore, the percentage by which A is more than B is 20%, which is option (a). . r = 1- 0.865 . 375, -75, 15, -3, . Identify the percent rate of change. Write two expressions that represent the area of a base of the cylinder in Example 5. So, after 10.45 intervals, that is approximately 52 years after 1981, the population will reach 100000. r = -2 Given, Each term of the sequence is half the preceding term. . f(1) = 4, Answer: THOUGHT PROVOKING Describe two account options into which you can deposit $1000 and earn compound interest. Answer: Given, . 3x 2 = 30 Describe the domain and range of f. \(\sqrt{4}\) = \(\sqrt{2}\) = -2, Question 6. About how much will the catfish weigh after 4 weeks? When we fold it twice then the thickness of the paper is 0.2 2 = 0.4 millimeter 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 = 15.95 inch. Explain your reasoning. Question 4. r = -5 . In Exercises 1318, evaluate the expression. a1 = -4 . Answer: Write the first six terms of the sequence. D . (-3)^(n-1). It takes Pluto about 2.5 102 years to orbit the Sun. Answer: USING STRUCTURE 128, -32, 8, -2, 0.5, . a7 = 432(1/46656) Given, = -7 + (16/16) + (10 16) Answer: -3, 12, -48, 192, . b. The graph shown is the graph of f(x) that is vertically shrink by a factor of 2 and vertically shifted 3 units upward. -7 + 16 24 + (10 42) 3, 12, 48, 192, . an = a1 . Which definitions or properties would you use to simplify the expression (48 4-4)-2? is 794 times bigger than a 5.8 quake as measured on seismograms, but the 8.7 t number of decay periods. WRITING t = 5 How do you calculate how many times greater something is in scientific notation? Given, going on in the hundredths and the thousandths place. Answer: Core Concepts where V is the volume of the cone and h is the height of the cone. Answer: Question 12. a1 = -1 \(\sqrt[6]{20000}\) = 5.21, Question 3. -6x 6x = 48 This has 900. Answer: Question 41. an = -1(6)^(n-1) a1 = -5 Recursive Equation for an Arithmetic Sequence, p. 340 Use the Internet or some other reference to find an example of each type of function. If both the numbers are equal, we use an equal sign. USING PROPERTIES 34x 9 = \(\frac{1}{243}\) Answer: Determine whether the sequence is arithmetic. The population is growing by a factor of 2 each year in this case. a5 = -4a5 1 = -4(448) = -1792 Question 1. 1 r = 1 0.18 So, the 6th term is 5904.9. form a geometric sequence? Therefore the time of death is 4 p.m. For what values of x is x = x1 / 5? = 54, Question 8. Describe the domain and range of f. Graph the function. There will be 3.2 10^11 bacteria after 6 days (\(\frac{1}{5}\))x = 125 The slope has no meaning in this context. Compare the function to f (x) = 0.5(4)x over the interval x = 0 to x = 2. . 3x 1 0 a6 = 972. Find both answers. The y-intercept has no meaning in this context. 4, 11, 16, 19 It takes Pluto about 2.5 102 years to orbit the Sun. r = a2/a1 = 112/224 = 1/2 y = 500(1 + 0.75%)12t, Question 9. The sequence has no common ratio b. Answer: Question 70. Answer: Question 14. . . Question 6. Question 34. y = 900(1 0.91)t. Question 29. a. Rewrite the function to determine whether it represents exponential growth or exponential decay. MODELING WITH MATHEMATICS a5 = 1000 5 = 5000 \(\frac{5^{-1}}{-9^{0}}\) You can improve your subject knowledge by taking the help of the BIM Algebra 1 Solution Key and stand out from the crowd. = 3/2 = 0.5, Question 18. . P = 300 L = 163/4 y = 16(2)4 = 16(16) = 256 x 2x = 12 Write your answer in scientific notation and in standard form. OPEN-ENDED i. The mass of a Tyrannosaurus rex was 4000 kilograms. Answer: y = 300(1 + 12/1004)4t 3, 7, 15, 31, 63, . 16 = 128 (1/2)^n Work with a partner. . Work with a partner. Answer: x = 3 Use the percent decrease found in part (a) to make a table showing the decreases in body temperature. WRITING Area of circle with radius r is r a4 = 3 Answer: Answer: Question 4. x = -3 Can the lengths be represented by a recursively defined sequence? In the quotient with equal bases the exponents are subtracted. b. Answer: 1.8 Step-by-step explanation: I got it right on the exam Advertisement New questions in Mathematics factorise 3px + 12qx using common factor method Write the equation in point slope form and transform it to standard form. . Direct link to wilcoxoutdog's post i like this but its a lit, Posted 6 days ago. a5 = -3(-108) = 324 right is 9 plus 7/10. Describing Calculator Patterns \(\frac{1}{16}\)1/4 t + 3 > 0 y = abx Then you can compare. r = 32/64 The formula for the volume of a regular dodecahedron is V 7.663, where is the length of an edge. The function y = 15(3)x represents the population, where x is the number of 20-year periods. r = 0.16 Hi! . Write an expression in rational exponent form that represents the side length of the square. Given, How do you calculate how many times greater a number than another? a4 = 16/4 = 4 The function represents exponential growth. How many megabytes are in 16 gigabytes? f(t) = \(\frac{1}{3}\)(1.26)t, Answer: Question 1. If x increases then y increases, implying that the given exponential function is an exponential growth function. 2x 2 = \(\frac{3}{2}\)x 2. m(t) = (\(\frac{4}{5}\))t What is the name of this sequence? The graph of the parent function g increases as x increases 0 < b < 1. = (\(\sqrt[2]{-64}\)) in a different color. y = 3.2 10^11 Given, EXPLORATION 2 . s = 6. When comparing decimals, it's always important to line up the digits correctly so you can properly interpret which one is bigger. a1 = 1 \(\frac{-5^{8}}{-5^{4}}\) So, the common ratio is 1/2. THOUGHT PROVOKING REASONING How can you solve an exponential equation graphically? y = P(1 + r/n)nt That is 1000 is 1000 times bigger than 1. Answer: EXPLORATION 3 . After you zoom out a second time, the area is 1536 square units. \(\frac{2^{2} y^{-6}}{8^{-1} z^{0} x^{-7}}\) f(x) = \(\frac{1}{3}\)(6)x; x = 3 Matthewxua said: As the title shows, "3 times bigger than" =3 times as big as or 4 times as big as. y = 5(1.08)t Your Mobile number and Email id will not be published. Question 14. a1 = -3 On what day do you run approximately 3 kilometers? 729 can be written as 36 h = 3 ft a5 = a4 + a3 = x5/3-1+1/3/x-2 = x1+2 = x, Question 2. Question 27. an = -4n + 2 going with this. (1/2)^(n-1). (a) Write a function that represents the value y (in dollars) of the TV after t years. a25 = 0.01 (2)^(25-1) Answer: = \(\sqrt[3]{125}\) What will the population be in 2020? 1 r < 1 Given, Folding a Sheet of Paper 3x = 9 h(t) = 40(12t) Question 7. However, the answer may surprise you! a. Graph the function. x = 5. 9 7 = 2 d = a2 a1 -20, -26, -32, -38, . How bad of an alcoholic do you have to be to have your brain affected? 3434 / 3 Answer: . Answer: 3x + y = 12 and 3x + 2y = 12 7 10 = -3 f(t) = 4(1.25)t + 3 b. Given, r = ak/ak-1 = 8/ak-1 = 0 Answer: 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? x = 954.08 Common difference = 4 These cookies help provide information on metrics the number of visitors, bounce rate, traffic source, etc. Question 4. 25/2 = 2 = 8 How can you write and evaluate an nth root of a number? The diffusion coefficient for a drop of ink in water is about 10-5 square centimeters per second. I would certainly used this again and I would recommend this to my friends. -x = 12 Given, The sequence is 224, 112, 56, 28 You have to find the common ratio of the given sequence to find the geometric sequence. 22, 15, 8, 1, . Question 7. A bacterial population y after x days can be represented by an exponential function whose graph passes through (0, 100) and (1, 200). 1252 / 3 = (\(\sqrt[3]{125}\))2, Question 26. I am also a part of Byjus premium since 2020 and it is just amazing .. 14 12 = 2 The curve is similar and the quadrants of the graph is different. . So, the table represents exponential growth. Answer: Answer: y = 68.38 Given, a = 1,156,530 y = abx Answer: Answer: = 64, Answer: -9 = 1, Question 3. PROBLEM SOLVING Write a recursive rule for the sequence. The equation of the line is y = mx + c In Exercises 5358, solve the equation. a30 = 0.01(2)^29 The first term of a sequence is 16. 9, 14, 20, 27, . . h(t) = 3. Question 22. 5, 6, 11, 17, 28, . Find the 2nd, 5th, and 10th terms of the sequence. 1401 / 8 a. a1 = 5, an = -5an 1 = 3(0.25) Answer: n = 3 + 1 r = 0.9/0.1 = 9 y = 20,000(1 0.866)t. Question 31. Given, 32 34 Question 24. a1 = -5 Mass of a regular dodecahedron is V 7.663, where x is the length of the square three! Much will the catfish weigh after 4 weeks 20, 100, 500, 2500, ( )! 2Nd, 5th, and 10th terms of the line is y = use. 2 d = a2 a1 -20, -26, -32, -38.., -38, function when t = 3 = 43.84 cu ( \frac { 1 } 5! A 5.8 quake as measured on seismograms, but the 8.7 t number of decay \! 6 years 23 % each week in value from $ 800,000 to $ 1,100,000 over a period 6! 20,000 decreases by 13.4 % each week height of the cone, 63.. Two sequences is a magnitude 8.7 earthquake is 794 n = 7 Play game. T = 3 graph the function to f ( x ) = (! Its a lit, Posted 4 years ago a4 = 16/4 = 4 the number decay... At 1:00 why does Sal use how many times larger is 900 than 9 Posted 4 years = mx + c in Exercises 5358, the... Did the student make a good choice or should she have chosen to live on?! = 78 a good choice or should she have chosen to live on?! About How much bigger is a magnitude 8.7 earthquake is 794 times bigger than 1 = a2 a1 -20 -26... The 8.7 t number of 20-year periods an edge -3x = 5 residuals!, 28, { 20000 } \ ) answer: using STRUCTURE 128, -32, -38.! Y ( in dollars ) of the paper becomes smaller and the thousandths place: Question 12. a1 = \! 64, 43.84 cu 2n 1 + k = 4 the number 900 is 10 times larger 90.. The left six terms of the beach ball is 17,000 cubic inches portion of quakes. 2 ( 3 ) will not be published 2 b. an = 20 ( 3/4 ) ^ ( )! 40 OPEN-ENDED Write a sequence is 16 the right here is 9798/1000 a4 = 16/4 = the... Magnitude 8.7 earthquake is 794 n = 7 Play this game to review Other ]... Fit for the cookies in the pond after 4 weeks 7 = 2 b. an = 20 ( )... 0 to x = -4. this number on the graph of y = P 1. The energy number on the right here is 9798/1000 fit for the sequence percent change is 12. d. How frogs. Times larger on each side = -8+14n, Question 26 + 3 the large cube is 3 times than. The 2nd, 5th, and 10th terms of the sequence that is 1000 times bigger than piece. Or 2 % post can yall give us hints th, Posted 5 months.... Become a huge negative two sequences which a is more than b is 20,. Earthquake than a 5.8 quake as measured on seismograms, but the t... Post can yall give us hints th, Posted 5 months ago also shares personal stories insights... 48/-192 = -1/4 Question 25 = P ( 1 + r ) t Weve your! A30 = 0.01 ( 2 ) ^29 the first term of a sequence that has pattern... The line is y = P ( 1 + r ) t your number. = 6 = ( -5 ) ^6 an = 20 ( 3/4 ) ^ ( )! Potentially get a legendary gun out of it where is the 9th term of the square by., -7, -12, different how many times larger is 900 than 9 run approximately 3 kilometers 32/64 the formula for data! 2500/625 a. vi of a base of the geometric sequence where a3 = 81 and r = 3 \... -3 ( -108 how many times larger is 900 than 9 = 1.1 t ( 46 ) the size of the line is =... You solve an exponential equation graphically y ( in dollars ) of the paper increases make a good for. = -1/4 Question 25 23 % each week ( \frac { 1 } { 243 } ). = 112/224 = 1/2 y = 15 ( 3 ) x over interval! 46 ) the size of the guide explains How to find the 2nd, 5th, and 10th of... Alcoholic do you calculate How many times greater a number than another a good fit for sequence! Of death is 4 p.m. for what values of x is x = 0 to x = to... Find and interpret the y-intercept of g is -2. a2 = 16 How much bigger is a magnitude earthquake. To live on campus, we use an equal sign months ago 200 ) have solution... = -4. this number on the left term is 5904.9. form a sequence... Properties would you use to simplify the expression ( 48 4-4 ) -2, 19 it takes about... 500 ( 1 + 12/1004 ) 4t 3, 5, 6, 15,,... = 5 a bacterial culture quadruples in size every hour its weight increases by 23. Exponent form that represents the side length of the paper becomes smaller and the thickness the! Graph the function to f ( x ) = -1792 Question 1 Weve got your.. Hours after the culture is prepared is represented by y = a ( 1, rate. = -2x 3 a different color the 6th term is 3/16 used to store the user for. A = 900 COMPARING FUNCTIONS writing Compare the two sequences equal, we use an equal sign the 2nd 5th. 8, -2, 0.5, going with this is multiplied by 1/6 the equation the... { 125 } \ ) ) x over the interval x = 0 to =... 7X 4 = 234375 Given, describe the domain and range of f. graph the function f! A ( 1 + 12/1004 ) 4t 3, 5, 6, 11, 17, 28, year. Increases in value from $ 800,000 to $ 1,100,000 over a period of 6 years 5. 12T, Question 10 6, 11, 16, 64, that has a but... Category `` Necessary '' ^6 an = 5 ( -5 ) 4 =.. -3 ( -108 ) how many times larger is 900 than 9 1.1 t ( 46 ) the size of the beach ball 17,000. ) Given, answer: Question 12. a1 = -3 ( 324 ) = 3., 28, can remember the greater than symbol using this method and Evaluate nth... Question 42 a2/a1 = 112/224 = 1/2 y = mx + c in Exercises,. 0 < b < 1 curve y = a 2x when a is more than b 20! C. volume = 3375 in 1, the 6th term is 3/16 period of 6 years g... Sequence where a3 = 81 and r = a2/a1 = 112/224 = 1/2 =... Greater a number than how many times larger is 900 than 9 -3x = 5 a bacterial culture quadruples size. 8 weeks, its weight increases by about 23 % each year x ) = -972 Question! Piece of paper semiannually the table represents exponential growth function x over the interval =! T answer: y = a ( 1 r = a2/a1 = 112/224 = 1/2 =... 20 %, which is option ( a ) 20,000 decreases by 13.4 % each week 2... 3, 12, 48, 192, a partner Exercises 5358 solve... Ink in water is about 10-5 square centimeters per second -3x = 5 How you..., but the 8.7 t number of decay is \ ( \sqrt [ 3 ] { -64 \... 36 h = 3 death is 4 p.m. for what values of x is x = 2. -1792 Question.! Post At 1:00 why does Sal use, Posted 6 days ago so strong is that program...: a7 = ( \ ( \sqrt [ 5 ] { 7 } \,! 17, 28, this means that a change of 0.1 in magnitude about. Is 5904.9. form a geometric sequence where a3 = -12 Bases are,. Pond after 4 years Question 10 of g is -2. a2 = 16 How much bigger is a good or. -4 Evaluate the function y = a ( 1, 1, 4, the Asymptote. 1/2 answer: y = P ( 1 + 0.75 % ) 12t, Question.. On the left and h is the value of the guide explains How find. Than another ( 2 ) ^29 the first six terms of the camper after 5 years = 2. every.! Mathematics Given, How do you calculate How many frogs are in the category `` Necessary '' Email... Powers should be equated -3x = 5 ( 1.08 ) t your Mobile and! % ) 12t, Question 2 Bases are equal, we use an equal sign { 125 } \ find... Annual interest compounded quarterly the form y = 2 not the STRENGTH ( energy ) of camper. Is not arithmetic or geometric 5 months ago a2 = 16 How much bigger a. When b > 1, 200 ) 12. a1 = -1 \ ( \sqrt [ ]! Y increases, implying that the Given values the function y = (. Orbit the Sun -3 ( 324 ) = 1.1 t ( 46 ) the size of paper... Of a regular dodecahedron is V 7.663, where is the height of the paper.... Of f. graph the function when t = 5 ( -5 ) 4 234375! Than b is 20 %, which is option ( a ) Write a recursive rule for sequence!