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Suppose that F = G M1 M2 / r^2. What is the value of F given that G=6.67 x 10^-11, M1=12 x 10^4, M2=7 x 10^4, and r=5 x 10^-3 ? Please round your answer to the nearest whole number (integer) and put it in the answer box.
Find all solutions of the equation and express them in the form (a+bi). [x= 2 x^2-2 x+1=0]
Divide. 5 longdiv 4785
Use the properties of logarithms to condense the following expression as much as possible, writing the answer as a single term with 1. All exponents should be positive. 2(ln(sqrt[2](e^3)) - ln(xy))
Find a positive angle less than (2 pi) that is coterminal with the given angle. [ frac13 pi4 ] A positive angle less than (2 pi) that is coterminal with (frac13 pi4) is (square). (Simplify your answer. Type your answer in terms of (pi). Use integers or fractions for any numbers in the expression.)
North Africa and Southwest Asia Chart Population Density Life Expectancy Government Type Religion Resources Urbanization Sudan 39.6 65.8 Federal presidential republic Sunni Muslim, Christian Petroleum, natural gas, gold 35.3% Syria 76.0 71.7 Unitary dominant-party semi-presidential republic Sunni Muslim, Christian, Druze Petroleum, phosphates, chrome and manganese ores, asphalt, iron ore, rock salt, marble, gypsum, hydropower 54.2% Tunisia 74.2 76.3 Unitary semi-presidential republic Sunni Muslim Petroleum, phosphates, iron ore, lead, zinc, salt 69.3% Turkey 104.9 77.7 Unitary presidential constitutional republic Muslim, Christian, Jewish Coal, iron ore, copper, chromium, antimony, mercury, gold, barite, borate, celestite, emery, feldspar, limestone, magnesite, marble, perlite, pumice, pyrites, clay, arable land, hydropower 76.1% United Arab Emirates 118.0 78.0 Federal presidential elective constitutional monarchy Muslim (official), Christian, Hindu, Sikh Petroleum, natural gas 87.0% Yemen 53.7 66.1 Unitary presidential republic Muslim Petroleum, fish, rock salt, marble; small deposits of coal, gold, lead, nickel, and copper; fertile soil in west 38.0% 1. Which country has the highest population density? 2. What is the life expectancy in Turkey? 3. Which country has a federal presidential elective constitutional monarchy?
Homework - Ch. 6: Normal Dist Assignment - Ch. 6: Normal Distributions - Calculations (Thomas) Score: 7.5/100 Answered: 1/9 Question 3 The mean amount of time it takes a kidney stone to pass is 14 days and the standard deviation is 5 days. Suppose that one individual is randomly chosen. Let X= time to pass the kidney stone. Round all answers to 4 decimal places where possible. a. What is the distribution of X ? X-N b. Find the probability that a randomly selected person with a kidney stone will take longer than 15 days to pass it. c. Find the minimum number for the upper quarter of the time to pass a kidney stone. days.
Find the value(s) of h for which the vectors are linearly dependent. Justify your answer. [2, -2, 6] · [6, -8, 17] · [-3, 3, h] The value(s) of h which makes the vectors linearly dependent is(are) because this will cause to be a variable.
Round 14,529 to the nearest thousand. 14,529 rounded to the nearest thousand is □
Factor the polynomial completely. 9x^2 + 66x + 121
Assume two six-sided dice are rolled each with the numbers 1,2,3,4,5, and 6. The first one is red and the second one is green. Use a systematic listing to determine the number of ways to roll a total less than 10 on the two dice. How many ways are there to roll a total of less than 10 ? ways
How many different three-digit numbers can be formed using the digits 5,8,3,1, and 9 without repetition? For example, 883 is not allowed. The number of different three-digit numbers is
Determine the LCD of the group of fractions. 13/360, 11/150
Convert 340 degrees to radians radians Convert 31 pi/18 to degrees degrees
The angle that is a corresponding angle with angle 1 is angle [?]. A. 4 B. 3 C. 2 D. 1
Cell phone towers vary in height from 50 to 200 feet high. If two cell phone towers have a total height of 302 feet and one of the towers is 42 feet taller than the other, find the height of both of the towers. The shorter tower has a height of feet. The taller tower has a height of feet.
Find the scale factor of Figure A to Figure B.
You borrow 600 for 105 days at a simple interest rate of 4.6%. What is the interest on the loan? Be sure to use the Bankers' Rule when working with daily rates. What is the loan's future value?
Solve the equation using the quadratic formula. x^2+13x+8=0 The solution set is (Simplify your answer. Type an exact answer, using radicals and i as needed. Use integers or fractions for any numbers in the expression. Separate answers as needed.)
VW is parallel to UX. Find XY.
In a recent year, 31% students? number of college students? Round your answer to the nearest million.
You're a management consultant hired by Sunco Lighting, Inc., to estimate the demand for high-efficiency LED light bulbs. The table shows the results of a survey you conducted of four representative consumers in a market of 40,000 consumers overall. You asked the four buyers how many high-efficiency LED light bulbs they would buy in a year at different prices. Price () Gloria Michele Amy Annie --- --- --- --- --- 1 15 15 20 18 3 12 10 17 14 5 9 5 14 10 7 6 1 11 6 9 3 0 8 0 What market quantity demanded would you project, based on these data, at a price of 7 per bulb? - 1,100 - 2,400 - 240,000 - 960,000
What percent change is this from the 3000 per month?
A charter flight charges a fare of 300 per person plus 20 per person for each u holds 100 passengers. Let x represent the number of unsold seats. a. Find an expression for the total revenue received for the flight R(x). R(x)=(100-x)(300+20x) b. Choose the correct graph of the function, R(x), below. c. The number of unsold seats that will produce the maximum revenue is (Round to the nearest whole number as needed.)
In your calculus class, your final grade is based on four categories. The categories are tests, labs, homework assignments, and a final exam. The final average for the course is the weighted average of scores earned in these categories with the following weights. Assignments Tests Labs Homework Final Exam --- --- --- --- --- Weights 50% 10% 17% 23% Suppose you earned the following grades on each of the categories; 64% on tests, 59% on labs, 62% on homework assignments, and 77% on the final exam. Determine your weighted average in the course. Record the average below as a percentage accurate to two decimal places. Course Average: %
Given M, find M^-1 and show that M^-1 M=I. M=[ -1 0 8 1 ] Find M^-1. M^-1=[ ] Find the value in the first row and first column of the product M^-1 M using matrix multiplication. Select the correct expression below and fill in the answer box to complete your selection. A. (8 * 0)+(1 * 1)= [ ] (Simplify your answer.) B. (-1 * 0)+(0 * 1)= [ ] (Simplify your answer.) C. (8 * -1)+(1 * 8)= [ ] (Simplify your answer.) D. (-1 * -1)+(0 * 8)= [ ] (Simplify your answer.) Find the value in the first row and second column of the product M^-1 M using matrix multiplication. Select the correct expression below and fill in the answer box to complete your selection. A. (-1 * -1)+(0 * 8)= [ ] (Simplify your answer.) B. (8 * -1)+(1 * 8)= [ ] (Simplify your answer.) C. (8 * 0)+(1 * 1)= [ ] (Simplify your answer.) D. (-1 * 0)+(0 * 1)= [ ] (Simplify your answer.) Find the value in the second row and first column of the product M^-1 M using matrix multiplication. Select the correct expression below and fill in the answer box to complete your selection. A. (8 * -1)+(1 * 8)= [ ] (Simplify your answer.) B. (-1 * -1)+(0 * 8)= [ ] (Simplify your answer.) C. (8 * 0)+(1 * 1)= [ ] (Simplify your answer.) D. (-1 * 0)+(0 * 1)= [ ] (Simplify your answer.) Find the value in the second row and second column of the product M^-1 M using matrix multiplication. Select the correct expression below and fill in the answer box to complete your selection. A. (-1 * -1)+(0 * 8)= [ ] (Simplify your answer.) B. (8,-1)+(1,8)= [ ] (Simplify your answer.) C. (-1,0)+(0,1)= [ ] (Simplify your answer.) D. (8 * 0)+(1 * 1)= [ ] (Simplify your answer.) [ ]
Correct The table below gives the age and bone density for five randomly selected women. Using this data, consider the equation of the regression line, ŷ = b₀ + b₁x, for predicting a woman's bone density based on her age. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, in practice, it would not be appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant. Age 42 53 56 60 68 Bone Density 358 352 331 327 321 Table Step 4 of 6: Substitute the values you found in steps 1 and 2 into the equation for the regression line to find the estimated linear model. According to this model, if the value of the independent variable is increased by one unit, then find the change in the dependent variable ŷ.
The unit cost, in dollars, to produce bins of cat food is 19 and the fixed cost is 9408. The price-demand function, in dollars per bin, is (p(x)=311-2x) Find the cost function. C(x)= Find the revenue function. R(x)= Find the profit function. P(x)= At what quantity is the smallest break-even point? Select an answer
Evaluate the algebraic expression for the given values of the variables. 4x-y, for x=5 and y=2 4x-y= when x=5 and y=2.
For the following set of data, find the sample standard deviation, to the nearest hundredth. 19,20,30,27,17,22,25,30
Find the solution to the equation sin x - 1 = 0 on 0 ≤ x < 2π
Factor. 24+8x
Write the expression without using a calculator. (a) 3^4 (b) -3^4 (c) 3^-4 (d) (2/3)^-2 (e) 16-3/4 Write your answer without negative exponents. (a) 50-sqrt(32) (b) (a^3 b^3)(4 a b^2)^2 (c) (3 x^(3/2) y^3)/(2^-2)
Find the derivative of the following function. f(x) = 3x^4 + 9/x^5 - 8x + 10 A. f'(x) = 12x^3 + 9/x^5 - 8 B. f'(x) = 12x^3 - 45/x^6 C. f'(x) = 3x^3 - 45/x^5 + 2 D. f'(x) = 12x^3 - 45/x^6 - 8
Simplify the following expression. -7 x^2 - 8 + 6 x + 11 x^2 - 9 x
Given that f(x)=5x+6, find f(3). f(3)=
Solve using the principles together. Don't forget to check. 8 x+48=3 x-12 What is the solution? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution is x= . (Type an integer or a simplified fraction.) B. The solution is all real numbers. C. There is no solution.
Simplify (2x^3-12x^2+16x)/(x^2+3x-28) ÷ (4x^2-36x+56)/(2x^2-98)
Question 13 Select the choice that is a graph of the function f(x) = 3 (x-2) / ((x+2)(x-3))
Unit Exam - Right Triangles and Trigonometry Find the indicated side of the right triangle. x=[?]
Which model shows 7/12 × 4? Use the model to find 7/12 × 4. Mixed number Whole number
Zhenghan notices a strong correlation between whether a person is a freshman, sophomore, junior, or senior in college and the number of credit hours that a student has registered for. As students' years in college increase, they tend to register for fewer credit hours. Based on this information, the correlation coefficient between years in college and number of credit hours is closest to: +0.70 -0.20 +0.20 -0.70
What is the probability that the first offspring from this cross: At bb Dd Ee x AA bb DdEe will be a son with the genotype: AA bb Dd EE Type your answer as a decimal and round to 5 decimal places.
A chain-saw rental firm charges 26 per day or fraction of a day to rent a saw, plus a fixed fee of 8 for re-sharpening the blade. Additional portions of a day are considered to a be a full day's rental, so rounding upward to identify an entire rental period may be necessary. Let S(x) represent the cost of renting a saw for x days. Complete parts (a) through (m) below. (c) Find S(1 1/10). S(1 1/10)=60 (d) Find S(3 1/4). S(3 1/4)=112 (e) Find S(5). S(5)=138 (f) Find S(5 1/5). s(5 1/5)=
Find the area of the region that is bounded above by the curve f(x)=(x+2)^2 and the line g(x)=-x and bounded below by the x-axis. It can be helpful to graph the functions to better determine the correct region. Enter an exact answer.
Question 13 What is the improper fraction for the nutmeg (in TBSP)? 8/3 5/3 10/3 Question 14 What is the fraction for the nutmeg if it were to be doubled (or in other words having twice the recipe OR 22 / 3+22 / 3)? 51/3 TBSP
Enter a fraction that is equivalent to 7/8 with a numerator of 70.
Question 4 The IQ scores of 50 students are given below. 89 88 112 100 109 99 99 112 93 95 107 106 102 106 101 97 98 112 94 110 93 91 114 117 107 113 86 117 108 90 91 98 87 117 114 101 95 101 87 99 97 110 88 117 86 109 104 119 93 105 (a) Construct a grouped frequency distribution for the data. Use 85-89 for the first class and use the same width for each subsequent class. Class Frequency 85 - 89 90 - 94 95 - 99 100 - 104 105 - 109 110 - 114 115 - 119 (b) Which of the following is the correct histogram for this data?
The owner of a photocopy store charges 8 cents per copy for the first 100 copies and 6 cents per copy for each copy exceeding 100. In addition, there is a setup fee of 2.60 for each photocopying job. (a) Determine R(x), the revenue from doing one photocopying job consisting of x copies. (b) If it costs the store owner 4 cents per copy, what is the profit from doing one photocopying job consisting of x copies? (Recall that profit is revenue minus cost.) (a) Choose the correct answer below. A. R(x)=.08x+2.60 for 1≤x≤100 .06x for 100<x B. R(x)=.08x+2.60 for 1≤x≤100 .06x+2.60 for 100<x C. R(x)=.08x+2.60 for 1≤x≤100 .14x+2.60 for 100<x D. R(x)=.08x+2.60 for 1≤x≤100 .06x+4.60 for 100<x
A simple random sample of size n is drawn. The sample mean, x̄, is found to be 19.1, and the sample standard deviation, s, is found to be 4.7. Click the icon to view the table of areas under the t-distribution. Lower bound: Upper bound: 21.27 (Use ascending order. Round to two decimal places as needed.) Compare the results to those obtained in part (a). How does increasing the level of confidence affect the size of the margin of error, E? A. The margin of error decreases. B. The margin of error does not change. C. The margin of error increases. (d) If the sample size is 16, what conditions must be satisfied to compute the confidence interval? A. The sample must come from a population that is normally distributed and the sample size must be large. B. The sample data must come from a population that is normally distributed with no outliers. C. The sample size must be large and the sample should not have any outliers.
Which of the following statements are correct? (Select all that apply.) x^a / x^b = x^(a-b) (x^a)^(b/a) = x^b x^a / x^b = x^(a/b) (xa)^b = (xb)^a None of the Above
Does the equation (5 v^3-7 u^2=1) define (v) as a function of (u)?
Convert the following to a fraction and reduce to lowest terms as needed. 61 1/2 % =
The graph of a linear function f has a negative slope. Describe the effect on the graph of the function if the transformation has a value of k<0. a. adding k to the outputs of f b. adding k to the inputs of f c. multiplying the outputs of f by k d. multiplying the inputs of f by k c. Multiplying the outputs of f by k will result in which of the following? A. The graph will have a positive slope, and a y-intercept will change signs. B. The graph will have a negative slope; there will be no change in the y-intercept. C. The graph will be shifted downward. D. The graph will be shifted to the right. E. The graph will be shifted upward. F. The graph will be shifted to the left. G. The graph will have a positive slope; there will be no change in the y-intercept. H. The graph will have a negative slope, and a y-intercept will change signs.
Solve for x and graph the solution on the number line below. -5 ≤ -5 x
Given two statistically independent events (A, B), the joint probability of P(AB)=P(A)+P(B).
Identify the equation as a conditional equation, a contradiction, or an identity. Then give the solution set. 1/2 x+1=1/4 x+1
What inequality is shown on the graph? Write your inequality with the variable coming first. Use the letter w for the variable.
5 longdiv 165
Identify which of these types of sampling is used: random, systematic, convenience, stratified, or cluster. A large company wants to administer a satisfaction survey to its current customers. Using their customer database, the company randomly selects 80 customers and asks them about their level of satisfaction with the company. What type of sampling is used? Random Systematic Cluster Convenience Stratified
Write the expression in the standard form a+bi. (9+7 i)-(-5+i)
Use the diagram of the unit circle below to answer the following question. Find the sine, cosine, and tangent value for the triangle created with the terminal point Q.
f(x)=x^3-3 f(x) f^(-1)(x) x y -1 0 1 2
(f(x+h)-f(x))/h
Find the limit of f(x) as x approaches 0 from the left, the limit of f(x) as x approaches 0 from the right, and the limit of f(x) as x approaches 0 numerically if they exist. Round each answer to the fourth decimal place. If a limit does not exist, enter DNE. f(x) = (10x) / (x^2 + 5x) x: -0.1, -0.01, -0.001, -0.0001, 0, 0.0001, 0.001, 0.01, 0.1 f(x):
Opgave 2.5 For funktionen f(x)=5 e^x ln (x), bestem femtegrads Taylorpolynomiet for f med udviklingspunkt a=1. Det er følgende funktion: P5(x)=5 e(x-1)+5/2 e(x-1)^2+5/3 e(x-1)^3+3/square e(x-1)^5 . Dit svar skal være et helt tal mellem 0 og 99.
Evaluate the integral. [ int0^1(9 x^e+2 e^x) dx ]
Session 2025 Question 5 of 40 Find the center and the radius of the circle with the given equation. Then draw the graph. x^2+y^2-6x+2y=71 The center of the circle is (Type an ordered pair.) The radius of the circle is Use the graphing tool to graph the circle.
which diagram shows the equation v=2t+4 v (m/s) 6 5 4 3 2 1 0 0 1 2 t (s) v (m/s) 10 9 8 7 6 5 4 3 2 1 0 0 1 2 t (s)
Alice graficó cuántos libros de la biblioteca de la escuela son sobre sus temas favoritos. Alice ha leido 10 de esos libros. ¿Cuántos libros de sus temas favoritos hay en la biblioteca de la escuela que Alice no haya leído? libros.
The amount y (in billions of dollars) of income taken in by a certain country's social security administration for old-age and survivor's insurance in year x can be approximated by the equation below. 110.9(x-2010)=9y-4375.48 Assuming the trend continues, find the year in which 794.22 billion dollars will be taken in. What is the value of y ? y=794.22 (Type an integer or a decimal. Do not include the symbol in your answer.) In the year , 794.22 billion dollars will be taken in.
1/2 + 7/8
Solve for (s). [ 10=5 sqrts-5 ]
Determine the values of the trigonometric functions of α, where sin α = 7/25, and cos α = 24/25. tan α = (Type a simplified fraction.)
Quadrilateral BCDE is a kite. What is AD? AD=
Question 1 (1.5 points) Find the x-intercept for the equation below. Reduce your answer, if your answer is a fraction, you may use the "/" key. For example, one-third can be typed as 1 / 3. Give your answer as an ordered pair. 4 y - 3 x = 9
Consider the following limit. lim as x approaches 4 of (x^2 + 5x - 36) / (x^2 - 16) Simplify the rational expression as much as possible. lim as x approaches 4 () Find the limit.
(a) When α=0.20 and n=17, xleft^2=9.31222 xright^2=23.5418 (b) When α=0.05 and n=31, xtet^2=16.7908 xright^2=46.9792 (c) When α=0.10 and n=25, xtett^2= xtight^2=
Select the outlier in the data set. 60 53 55 75 68 88 86 73 198 44
7n+10=-7n+2
Write the equation for the relationship shown in the graph.
convert degrees to radians. (300^circ)
Pretest: Complex Numbers, Matrices, and Vectors Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Given: u=⟨-4,-1⟩, v=⟨0,-3⟩, w=⟨1,-1⟩, and z=⟨4,2⟩. Based on the components of the given vectors, match the magnitude of each vector subtraction with its resulting value. 8.54 1.83 3.61
Consider function h. What is the approximate range of function h?
Assume the limit of f(x) as x approaches 6 is 9 and the limit of g(x) as x approaches 6 is 9. Compute the following limit and state the limit laws used to justify the computation. The limit of the cube root of f(x)g(x) - 17 as x approaches 6 equals (Simplify your answer.)
3/5+5/6
Use the Unit Circle to find the exact value of the trig function. cos(45°) a. 1/2 b. -√3/2 c. √2/2 d. 1
Find the exact value of the expression. Do not use a calculator tan (π 5)/4 + tan (5 π)/4 (23+1)/2 (2+2+1)/6 sqrt(3)/2 0 None of these 1/2
In order for a button to fit through its buttonhole, the hole needs to be the the button's diameter. What size buttonhole is needed for a button with a circumference of 9.42 centimeters? A) 6 centimeters B) 4 centimeters C) 3 centimeters D) 1.5 centimeters
Pentagon ABCDE and pentagon A'B'C'D'E' are shown on the coordinate plane below. Which two transformations are applied to pentagon ABCDE to create A'B'C'D'E'? Translated according to the rule (x, y) -> (x+8, y+2) and reflected across the x-axis Translated according to the rule (x, y) -> (x+2, y+8) and reflected across the y-axis Translated according to the rule (x, y) -> (x+8, y+2) and reflected across the y-axis Translated according to the rule (x, y) -> (x+2, y+8) and reflected across the x-axis
Solve the rational inequality and graph the solution set on a real number line. Express the solution set in interval notation. (3x+1)/(5x-2) ≤ 1
Multiplying Polynomials Cube the expression: 2x-3 Select the correct response: 8x^3-27 8x^3+36x^2+54x+27 8x^3-36x^2+54x-27 2x^3-27
Finish the triangle proof by dragging the correct reasons to their box. There will be two extra unused reasons! Given: AB∣ ED, C is the midpoint of BE Prove: triangle ABC ≅ triangle DEC - Statement Reason - AB∣ ED - C is the midpoint of BE - angle ABC ≅ angle DEC - BC ≅ EC - angle ACB ≅ angle DCE - triangle ABC ≅ triangle DEC
A business based in South Africa pays a consultant in the U.S. 1,090,000 rand per year. Assume that the conversion is I rand to 0.074 dollar. What is the consultant's salary in dollars per month?
What is the square root of 5.94 times 10 to the power of 15? Give your answer to 3 significant figures.
Solve for x in the equation below. Round your answer to the nearest hundredth. Do not round any intermediate computations. e^(-3x)=9 x=
A sample of pure aluminum that is free of impurities is used to prepare a beverage can. Which term or terms could be used to describe this sample of aluminum? Check all that apply. View Available Hint(s) mixture heterogeneous mixture homogenous mixture solution pure chemical substance compound element
Finish the triangle proof by dragging the correct reasons to their box. There will be two extra unused reasons! Given: D is the midpoint of AF, D is the midpoint of EC Prove: triangle EDF is congruent to triangle CDA Statement Reason ------ D is the midpoint of AF D is the midpoint of EC ED is congruent to CD FD is congruent to AD angle EDF is congruent to angle CDA triangle EDF is congruent to triangle CDA Vertical Angles Definition of Midpoint Reflexive Property Given Definition of Midpoint ASA SAS
Sea g: R → R una función continua tal que ∫(1+π)^(2x+1)^2 y(t) dt = x^4 - 3x - 2 Calcular, si es posible, g(1).
Question 16 (5 points) Identify the coefficient of 2 x y^3 A) 3 B) x C) 2 D) 1
Write a recursive formula and an explicit formula for the arithmetic sequence shown in the graph. A recursive formula is a1= , an= . (Simplify your answers.)
For f(x)=4x-6 and g(x)=(x+6)/4, find the following functions. a. (f∘g)(x); b. (g∘f)(x); c. (f∘g)(4); d. (g∘f)(4) a. (f∘g)(x)=
Calculate the result of the following set of operations: 4 times 1+3^2-6 div 2 Express your answer as an integer.
The average amount of money that people spend at Don Mcalds fast food place is 7.1700 with a standard deviation of 1.7200. 50 customers are randomly selected. Please answer the following questions, and round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X-N(7.17, 1) c. What is the distribution of ∑x? ∑x-N(358.5, 12.1622) d. What is the probability that one randomly selected customer will spend more than 57.3552? 0.4594 e. For the 50 customers, find the probability that their average spent is less than 7.3452. 0.7643 f. Find the probability that the randomly selected 50 customers will spend more than 367.2600. 0.2357 g. For part e) and f), is the assumption of normal necessary? Yes No all groups of 50 people who h. The owner of Don Mcalds gives a coupon for a free sundae to the 4th, at least how much must a group of 50 spend in total to get the free sundae? 379.7923
If f(x)=3x-12, what is f(2)? A. -18 B. 18 C. 6 D. -6
Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the quantity diverges, enter DIVERGES.) [ int0^9 frac5sqrt[3]x-1 d x ]
log3(10x) = 5
Does the absolute value graph below flip or not flip? Support your answer. f(x)=2x-9+3
Application of Quadratic Equations Question 5 of 11 (2 points) Question Attempt: 1 of Unlimited The height of a rectangular box is 8 ft. The length is 2 ft longer than thrice the width x. The volume is 680 ft^3. Part 1 of 4 (a) Write an equation in terms of x that represents the given relationship. The equation is 24x^2+16x-680=0. Part 2 of 4 (b) Solve the equation to find the dimensions of the given shape. The length is ft. Part 3 of 4 The width is ft.
A ladder is 13 feet long and leans up against the side of a house. The house and the ground form a right angle. The bottom of the ladder is 5 feet from the house. What is the distance between the ground and the top of the ladder, in feet?
give rise to T cells.
Examine the following function: h(x) = log base 1 of x Which graph represents the function?
If m ∠AB=105, find the area of the shaded sector. Round to the nearest tenth.
From a parking lot, a person wants to walk to a house on the ocean. The house is located 1800 feet down a paved path that parallels the beach, which is 600 feet wide as shown in the figure. Along the path he can walk 450 feet per minute, but in the sand on the beach he can only walk 150 feet per minute. Complete parts (a) through (g). Ocean (a) Calculate the time T if he walks 1800 feet along the paved path and then 600 feet in the sand to the house. T=8 minutes (Type an integer or decimal rounded to one decimal place as needed.) (b) Calculate the time T if he walks in the sand directly toward the ocean for 600 feet and then turns left and walks along the beach for 1800 feet to the house. T= (Type an integer or decimal rounded to one decimal place as needed.)
Suppose that the age of students at George Washington Elementary school is uniformly distributed between 5 and 11 years old. 37 randomly selected children from the school are asked their age. Round all answers to 4 decimal places where possible. a. What is the distribution of X ? X-U(5 , 11 ) Suppose that 37 children from the school are surveyed. Then the sampling distribution is b. What is the distribution of x̄ ? x̄-N 8.0 , 3/37 c. What is the probability that the average of 37 children will be between 7 and 7.5 years old? 0.0393
Choosing the best measure to describe data Answer the questions below. (a) The 10 participants in an experiment had the following reaction times (in milliseconds): 770,772,779,785,796,808,817,818,822,826 Which measure should be used to summarize the data? Mean Median Mode (b) In a survey, a soft drink company asks people to name as many brands of soft drinks as they can. Which measure gives the most frequently mentioned brand? Mean Median Mode (c) In the past 9 days, Jessica has received the following numbers of email advertisements per day: 42,43,46,47,48,49,50,52,86 Which measure should be used to summarize the data? Mean Median Mode
Question 18 of 20 Graph the parabola. Give the vertex, axis of symmetry, domain, and range. f(x) = x^2 + 12x + 20 (Type an ordered pair.) The axis of symmetry is (Type an equation.) The domain is (Type your answer in interval notation.) The range is (Type your answer in interval notation.)
Evaluate sin(tan^(-1)(1/12)), giving your answer as an exact value (no decimals).
Use your calculator to evaluate cos^(-1)(-0.14) to at least 3 decimal places. Give the answer in radians.
Convert 27 km/hr into m/s.
How do geographers define 'scale' in the context of spatial analysis? Only the physical size of a region The ratio between the length on a map and the actual distance on Earth The cultural importance of a place The economic value of a region
True or false, if x is any real number, then sqrt(x^2) = x
The gender and year of each of the 216 students in a high school band were recorded. The data are summarized in the table below. Male: Freshman 41, Sophomore 31, Junior 22, Senior 11 Female: Freshman 30, Sophomore 37, Junior 26, Senior 18 Suppose a student from the high school band is chosen at random. (a) What is the probability that the student is male, given that the student is a senior? (b) What is the probability that the student is female or a sophomore?
Solve for x: 1/4(x+2) = 1/2(3x-4)
What is the domain of the inverse sine function f(x)=cos^(-1)(x)?
The simple interest formula is I = Prt, where I represents simple interest on an amount, P, for t years at a rate of r, where r is expressed as a decimal. What is the amount of money, P, that will generate 40 in interest at a 10% interest rate over 5 years? 60 80 90 100
The graphs of the quadratic function (y=2 x^2) and the exponential function (y=2^x) are shown below. Considering only the domain shown on the graph, over which interval is the value of the exponential function greater than the value of the quadratic function? - (-2.5 leq x leq-0.75)
A greeting card manufacturer has 400 boxes of a particular card in warehouse I and 270 boxes of the same card in warehouse II. A greeting card shop in San Jose orders 325 boxes of the card, and another shop in Memphis orders 250 boxes. The shipping costs per box to these shops from the two warehouses are shown in the table. How many boxes should be shipped to each city from each warehouse to minimize shipping costs? What is the minimum cost? (Hint: Use x, 325-x, y, and 250-y as the variables.) San Jose Memphis Warehouse I 0.25 0.22 Warehouse II 0.24 0.19 From warehouse I, ship box(es) to San Jose and box(es) to Memphis, and from warehouse II, ship box(es) to San Jose and box(es) to Memphis, for a minimum cost of .
Ryan is a quality control inspector who works at a factory that produces inexpensive, unassembled furniture. He has a batch of plastic connection parts to inspect. Suppose 145 of these parts will not pass inspection and there are 1000 parts total in the batch. Ryan chooses a plastic connection part to inspect at random. Let the event A and the event B be as follows. A: The part Ryan chooses does not pass inspection. B: The part Ryan chooses passes inspection. Find the following probabilities. Write your answers as decimal numbers and do not round. P(A)= P(B)=
Dada la figura de abajo, halle los valores de x y z. x= z=
Divide the numbers and round the answer to the correct number of significant figures. 121.8 / 4.87
Clasificar cada figura como una recta, semirrecta o segmento de recta. Luego, mostrar cómo se escribe. - Figura - Tipo - Cómo se escribe - (a) - recta semirrecta segmento de recta - - (b) - recta semirrecta segmento de recta - - (c) - recta semirrecta segmento de recta -
En la figura a continuación, ∠1=3x° y ∠2=(x+18)°. Hallar las medidas de los ángulos. m ∠1= m ∠2=
What is the value of the y-coordinate of the solution to the system of equations 2x+y=8 and x-3y=-3 -3 3 2 -2
What is the probability of rolling two dice and not getting a 1 or 6 on either of them? (Give your answer as a decimal number rounded to two decimal places.)
Which ordered pair is the solution to this system of equations? y=x+4 x+y=2 (-4,0) (0,2) (-1,3) (1,5)
Tickets to a basketball game can be ordered online for a set price per ticket plus a 5.50 service fee. The total cost in dollars for ordering 5 tickets is 108.00. Which linear function represents c, the total cost, when x tickets are ordered? (A service fee is a single fee applied to the total, no matter the number of tickets purchased). c(x)=5.50+20.50 x c(x)=5.50 x+20.50 c(x)=5.50+21.60 x c(x)=5.50 x+21.60
Simplify the radical expression, where n is an odd positive integer. sqrt[n]x^(4n) Write your answer in the form A, sqrt[n]B, or A sqrt[n]B, where A and B are constants or expressions in x. Use at most one radical in your answer, and at most one absolute value symbol in your expression for A.
Counting significant digits when measurements are multiplied or divided Sydney Multiply or divide the following measurements. Be sure each answer you enter contains the correct number of significant digits. 0.93 cm × 3.025 cm = cm^2 702.7 m ÷ 0.83 s = m/s 751.8 g ÷ 0.79 mL = g/mL
If angle H and angle P each equal 38 degrees and angle G and angle Q each equal 41 degrees, is triangle F H G similar to triangle P R Q?
A certain electronics manufacturer is making GPUs for gaming laptops (GPU stands for graphics processing unit). The manufacturer found that the marginal cost C to produce x GPUs can be found using the equation C=0.03 x^2-8 x+700. If the marginal cost were 190, how many GPUs were produced?
Let u₁ = [-2; 0; 0], u₂ = [-4; 2; 0], u₃ = [1; 3; -3] be a basis for R³. Use the Gram-Schmidt process to find an orthogonal basis under the Euclidean inner product. Orthogonal basis: v₁ = [-2; 0; 0], v₂ = [0; a; 0], v₃ = [0; b; c] a = Ex: 5, b = Ex: 5, c = Ex: 5
Miguel plotted the three vertices of a triangle. Two of the vertices are shown on the grid below. Which of these could be all three vertices of Miguel's triangle? Select all that apply. (a) (1,1),(1,3),(4,2) (b) (1,1),(3,1),(2,4) (c) (1,3),(3,5),(4,2) (d) (3,1),(2,1),(4,2) (e) (3,1),(2,4),(3,5)
For Exercises 1-5, use the diagram. 1. What composition of two rigid motions maps triangle ABC to triangle A'B'C'? For Exercises 2-5, find the coordinates of P' under each transformation. Suppose the equation of line m is y=2 and the equation of line n is x=-1. 2. T<-2,0> o rm 3. T<0,-5> o rn 4. T<0,2> o ry-axis 5. T<3,0> o rx-axis For Exercises 6-12, write a rigid motion that produces each image.
Use the properties of limits to help decide whether the limit exists. If the limit exists, find its value. lim (x -> ∞) (6x^3 - 8x - 3)/(4x^2 - 4x - 5) Select the correct choice below and, if necessary, fill in the answer box within your choice. A. lim (x -> ∞) (6x^3 - 8x - 3)/(4x^2 - 4x - 5) = B. The limit does not exist and is neither ∞ nor -∞.
Given point A is not on line m, suppose A is reflected across line m. Which of the following is true? A. The line segment AA' is the bisector of line m. B. Line m is the perpendicular bisector of the line segment AA'. C. Line m is parallel to the line segment AA'. D. A=A'
What is the value of x in the figure shown below?
Evaluate the following expression at (x=-8). [ -x+5 ]
Your lab group is trying to calculate the height of the staircase. Someone in your group determines that there are 15 bricks in a meterstick. If there are 89 total bricks between the first step and the top of the stairs, then what is the total height of the staircase in meters? Please answer to the nearest tenth of a meter.
Whitney tried to evaluate an expression. Here is her work: 33+12 ÷ 2 ·(4-2+8) = 33+12 ÷ 2 ·(2+8) = step 1 = 33+12 ÷ 2 · 10 = step 2 = step 3 = 93 Is Whitney's work correct? No, Whitney made a mistake going from the given expression to Step 1. Whitney should have added 2 and 8 before subtracting. The order of operations says to add before you subtract. No, Whitney made a mistake going from Step 2 to Step 3. Whitney should have multiplied 2 and 10 before dividing. The order of operations says to multiply before you divide. Yes, Whitney's work is correct.
For the data shown, answer the questions. Round to 2 decimal places. x 15.2 13.4 7.8 7.4 11.1 7.3 7.1 13.5 27.9 10 Find the mean: Find the median: Find the sample standard deviation:
Which equation choice could represent the graph shown below? Answer: f(x) = x(x - 3)(x + 7) f(x) = x(x + 3)(x - 7) f(x) = x(x - 3)(x - 7) f(x) = x(x + 3)(x + 7)
Solve the following equation. Make sure you verify your answers. Write fractions in the form of a / b. If your answer includes a square root estimate it to one decimal place. If there is no solution write none in the both answer boxes. If there is an extraneous root put ext in the second answer box. x-5=4
Look at this graph/illustration. This data illustrates how many people fall within the average when looking at how their performance in school matches their ability to succeed at future jobs. When looking at this data, Josh confidently declares that all of the people who "meet expectations" are 1 standard deviation from the mean while those rated as "below expectations" or "above expectations" are within 2 standard deviations from the mean. Josh is incorrect. There are several reasons why. Which choice correctly describes ONE of those reasons? The percentage of individuals within the first standard deviation must be 80% of the total data set. The percentage of individuals within the first standard deviation must be 75% of the total data set The percentage of individuals within the second standard deviation must be 95% of the total data set. The percentage of individuals within the second standard deviation must be 63% of the total data set.
Solve for x to the nearest 10th. 100 = 2580(0.94)^x - 180
Data was collected for 300 fish from the North Atlantic. The length of the fish (in mm) is shown in the table below. Lengths (mm) Frequency ------ 160-169 1 170-179 16 180-189 71 190-199 108 200-209 83 210-219 18 220-229 3 What is the class midpoint for the second class? class midpoint =
(2y-3)^2
(2ab+9a-4)-(ab+2)
Find values of a and b that make the function provided below both continuous and differentiable at 3. f(x) = ax+b for x<3 x^2 for x ≥ 3 a = Number b = Number
7. 2x^2+4x-30 8. 8x^2+47x-6 9. Multiply each of the binomials. Give your answers in standard form. a) (x+3)(x+4) b) (x+6)(x-6) c) 2x(x+5) d) (3x+2)(2x-3)
Which graph represents a function?
Write the expression in factored form. 49 m^2 - n^2
Find the value of each variable in the parallelogram. Round your answers to the nearest tenth, if necessary. x= y=
(x^2+1)(x+9)
Find the second derivative of v with respect to t, where v = 3t^2 + 6t + 13.
Find the general solution of the following system of equations. -2x + 7y = -6 -4x + 14y = -12 Select the correct answer below: (x, 2x/7 - 5/7) (x, 7x/2 + 3) (x, 2x/7 - 6) (x, 7x/2 - 6) (x, 7x/2 + 5)
In the diagram below, AD bisects CAB, m ADB=96° and m CAB=60°. Find m C.
This question: 1 Find the exact values of the six trigonometric functions of the given angle. Do not use a calculator. Submit -π/6 Select the correct choice below and fill in any answer boxes within your choice. A. sin (-π/6)= (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) B. The function value is undefined. Select the correct choice below and fill in any answer boxes within your choice. A. cos (-π/6)= (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) B. The function value is undefined. Select the correct choice below and fill in any answer boxes within your choice. A. tan (-π/6)= (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) B. The function value is undefined.
(6 i)(-4 i)
Homework 1.8: Mean, Median, and Mode Score: 9/13 Answered: 9/13 Question 10 The table below shows a company's sales each year from 1998 to 2004. Year Items sold (millions) 1998 31 1999 39 2000 40 2001 27 2002 50 2003 36 2004 33 How many millions of items were sold in 2004? million items Submit Question
What is cos A?
Find all solutions by factoring, 5v^2 - 31v = 28 The solution set is
To the right is a stem-and-leaf display representing the amount of gasoline purchased, in gallons (with leaves in tenths of gallons), for a sample of 25 cars that use a particular service station on the New Jersey Turnpike. Complete parts (a) through (d). 9 10 13469 11 12344589 12 014468 13 278 a. Place the data into an ordered array. Choose the correct answer below. A. 9.59 .99 .910 .110 .310 .410 .610 .911 .111 .211 .311 .411 .411 .511 .811 .912 .012 .112 .412 .412 .612 .813 .213 .713 .8 B. 9.510 .111 .112 .013 .29 .910 .311 .212 .113 .79 .910 .411 .312 .410 .611 .412 .410 .911 .412 .611 .512 .811 .811 .913 .8 C. 13.813 .713 .212 .812 .612 .412 .412 .112 .011 .911 .811 .511 .411 .411 .311 .211 .110 .910 .610 .410 .310 .19 .99 .99 .5 b. Which of these two displays seems to provide more information? stem-and-leaf display ordered array c. What amount of gasoline (in gallons) is most likely to be purchased? gallons (Type a whole number.)
4/5 = d/9
Use synthetic division to perform the division. x^4-3x^3-13x^2+16x-5 / x-5
3/8 + 4/8
Find an expression, in its simplest form, for the perimeter of this pentagon. Find the value of s if the perimeter of the pentagon is equal to 42 units.
Rewrite each equation as requested. (a) Rewrite as an exponential equation. log8 1=0 (b) Rewrite as a logarithmic equation. 3^4=81 (a) = (b) log =
What is the area of a rectangular field that measures 29 yds by 37 yds? Write the result in units of yd^2 and round it to the correct number of significant figures. Use scientific notation in the form: xEm where x is a number with absolute value smaller than 10, and m is
What is an equation of the line that passes through the point (3,2) and is parallel to the line 2x+3y=24?