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Writing Numbers in Scientific Notation Express 142 in scientific notation. [?] × 10^[?] Enter the coefficient in the green box and the exponent in the yellow box.
Direct and Inverse Variation Question 6, 3.7.C3 Choose the formula that expresses the described relationship. R varies inversely as j. Choose the correct formula. A. j=kR B. R=k/j C. R=kjz D. R=k j
Giải phương trình xy'+y=√x
Of the people who fished at Clearwater Park today, 30 had a fishing license, and 20 did not. Of the people who fished at Mountain View Park today, 32 had a license, and 8 did not. (No one fished at both parks.) Suppose that one fisher from each park is chosen at random. What is the probability that the fisher chosen from Clearwater had a license and the fisher chosen from Mountain View did not have a license?
Use the binomial formula to find the coefficient of the q^13 term in the expansion of (q+2p)^14.
What is the equation of the line L that passes through the point (-2,2) and has slope 2 ? Select one: a. y=2 x+5 b. y=2 x-5 c. y=1/2 x-2 d. y=2 x+6
1. f(x)=(x^2+2x-4)/(2x) find derivative
Find the specified nth term in the expansion of the binomial. (x+y)^12, n=4
圖中，ABCD 為一平行四邊形。E 及 F 分別為 AB 及 CD 上的點，使得 AE=CF BD 分別與 AF 及 CE 相交於 G 及 H 若 三角形 BCH的面積及四邊形 CFGH 的面積分別為 150 cm² 及 315 cm² ，則 三角形 BEH 的面積為 A． 24 cm² 。 B． 36 cm² 。 C． 60 cm² 。
Harold wrote this equation to model the level of water in a pool over time. The variable x represents time in hours. f(x) = 3,500 - 225x Which statements about the situation are true? Check all that apply. The water level is rising. The water level is falling. The initial level of water in the pool was 3,500 units. The initial level of water in the pool was 225 units. The pool was empty after 14 hours. The water was 2,600 units high after 4 hours.
Factor the trinomial. [ 7 n^2+53 n-24 ] [ 7 n^2+53 n-24= ] (Type your answer in factored form.)
Solve for (m). [ 18 = sqrtm-1 ] [ m= ]
Temas adicionales de trigonometria Hallar la componente de un vector a lo largo de... vector u y el vector v se muestran en la siguiente figura. Hallar uv, la componente de u a lo largo de v, sin redondear los cálculos intermedios. Redondear a la décima más cercana. uv=
Factor by grouping (sometimes called the ac-method). 3 x^2+11 x+6 First, choose a form with appropriate signs. Then, fill in the blanks with numbers to be used for grouping. Finally, show the factorization. Form: 3 x^2+ square x+ square x+6 3 x^2+ square x - square x+6 3 x^2- square x+ square x+6 3 x^2 square x- square x+6
Given: The coordinates of triangle PQR are P(0,0), Q(2a, 0), and R(2b, 2c). Prove: The line containing the midpoints of two sides of a triangle is parallel to the third side. As part of the proof, find the midpoint of PR. (b, c) (a-b, c)
On Jennifer's first math test she scored a 71. The mean and standard deviation for the class were 74 and 2.24, respectively. On her second math test, Jennifer scored a 75. The mean and standard deviation for the class were 77 and 1.63, respectively. On which test did Jennifer do better relative to the rest of the class? Explain your reasoning clearly in the space provided below. Show work on your scrap paper(worth 4 points), round all answers to 2 decimal places, if necessary.
Using the sign chart for f'(x)=-3(x-8)(x+5)^2, and only that sign chart, what conclusions can be drawn about the graph of f when x=-5?
Factor completely. -2 y^2 - 24 y - 40
Un club de ajedrez con 90 miembros elige un nuevo presidente. Lisa recibló 63 votos. ¿Qué porcentaje de los miembros del club votaron por Lisa?
The areas of two similar squares are 16 m^2 and 49 m^2. What is the scale factor of their side lengths?
The twice-differentiable function f is shown below on the domain (-9,9). The function f has points of inflection at x=-7.6, x=-2.4, x=2, x=6, shown with small green circles on the graph. Determine what could be said about the values of f(6), f'(6), and f''(6).
Resolver para (w). [ frac78 w=56 ] Simplificar la respuesta tanto como sea posible. [ w= ]
Solve the equation 1/2(k-5)=3/4. k=
-2x - 4 + 9x = 11x - 1
Solve the following system of equations. 4x - 2y + 2z = 20 2x - 7y + 2z = 25 6x + 15y - 4z = -3
Solve the problem. Suppose c(x)=x^3-22x^2+30,000x is the cost of manufacturing x items. Find a production level that will minimize the average cost per item of making x items. A) 12 items B) 10 items C) 11 items D) 13 items
In a simple random sample of size 58, there were 36 individuals in the category of interest. Part 1 of 4 (a) Compute the sample proportion p̂. Round the answer to at least three decimal places. Part 2 of 4 (b) Are the assumptions for a hypothesis test satisfied? Explain. Yes, the number of individuals in each category is greater than 10. Part 3 of 4 (c) It is desired to test H0: p=0.6 versus H1: p>0.6. Compute the test statistic z. Round the answer to at least two decimal places. Part 4 of 4 (d) Find the critical value(s) at the 0.1 level. Round the answer(s) to at least three decimal places. If there is more than one critical value, separate them with commas.
Solve the exponential equation by expressing each side as a power of the same base and then equating exponents. 4^x = 64 The solution set is □
If 4^(2x-3)=4^3, then =3.
Escribir un sistema de ecuaciones lineales para el siguiente gráfico. y= y=
Complete parts (a) through (c) for the following function. f(x)=-3x^3+6x^2-4x-4 (a) Find intervals where the function is increasing or decreasing, and determine any relative extrema. (b) Find intervals where the function is concave upward or concave downward, and determine any inflection points. (c) Graph the function, considering the domain, critical points, symmetry, relative extrema, regions where the function is increasing or decreasing, inflection points, regions where the function is concave upward or concave downward, intercepts where possible, and asymptotes where applicable.
Which of the following are irrational numbers? Select all correct answers. Select all that apply: √18 0.4848848884 ... √17
Find the critical value for a right-tailed test using the F-distribution with α=0.025, degrees of freedom in the numerator =12, and degrees of freedom in the denominator =50. What is the critical value? (Round to the nearest hundredth as needed.)
Find f'(x) for f(x)=3x^3.
Is there enough information to conclude that the two triangles are congruent? If so, which is the correct congruence statement? Yes; triangle ABC congruent to triangle ACD Yes; triangle ACB congruent to triangle ACD Yes; triangle CAB congruent to triangle DAC No; the triangles cannot be proven congruent.
Find the values of x and y that make these triangles congruent by HL. x-3, y=4 x-5, y=6 x=6, y=5 x=4, y=3
Use the sum and difference identities to rewrite the following expression as a trigonometric function of a single number. cos(45°)cos(15°)+sin(45°)sin(15°)
Conduct the following test at the α=0.01 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the critical value. Assume that the samples were obtained independently using simple random sampling. Test whether p1 ≠ p2. Sample data are x1=28, n1=254, x2=36 and n2=301. (a) Determine the null and alternative hypotheses. Choose the correct answer below. H0: p1=p2 versus H1: p1<p2 H0: p1=p2 versus H1: p1>p2 H0: p1=p2 versus H1: p1 ≠ p2 (b) The test statistic z0 is (Round to two decimal places as needed.) (c) The critical values are ± (Round to three decimal places as needed.) Test the null hypothesis. Choose the correct conclusion below. Do not reject the null hypothesis. Reject the null hypothesis.
Simplify. 35 x^2(x+7)(2 x-5)/30 x^4(x+7)^5
La geomorfología es una ciencia que se enfoca en el estudio de: A) Las formas de la superficie terrestre y sus orígenes.
Drug the function to the appro
Find the length of side x to the nearest tenth.
What is the quotient 2m^9 n^4/-4m^-3 n^-2 in simplest form? Assume m ≠ 0, n ≠ 0. -m^27 n^8/2 -m^12 n^6/2 8m^12 n^6 6m^12 n^6
25x^2+110x+40
Each license plate in a certain state has six characters (with repeats allowed). Here are the possibilities for each character: - Character possibilities - First: The 26 letters of the alphabet - Second: The 26 letters of the alphabet - Third: The 26 letters of the alphabet - Fourth: The 10 digits 0 through 9 - Fifth: The 10 digits 0 through 9 - Sixth: The 10 digits 0 through 9 How many license plates are possible in this state?
On December 13, 2007, one U.S. dollar was worth 10.83 Mexican pesos. (a) On that date, how many dollars was 150.68 pesos worth? Round your answer to the nearest hundredth of a dollar. dollars (b) On that date, how many pesos was 103.64 dollars worth? Round your answer to the nearest hundredth of a peso. pesos
A parent is buying two types of chocolate truffles for the children. The oldest child likes white chocolate (W), the younger two like dark chocolate (D) and the spouse likes white chocolate (W). Three white chocolate truffles (W) cost the same as two dark chocolate truffles (D). If the parent bought 5 white chocolate truffles (W) and 10 dark chocolate truffles (D), and spent 60.00, how much was each dark chocolate truffle? Calculate the cost of dark chocolate truffles. Answer * 4.50 4.00 3.00
The number 133 is 38% of what number? The number 133 is 38% of □ (Simplify your answer. Type an integer or a decimal.)
Which graph represents the inequality? y ≤ (1/3)x - 1
Which ordered pairs are on the line with equation (y-0.75=1.25(x-3))? Select each correct answer. ((4,2)) ((1,1.75)) ((7,5.5)) ((-4,-8))
Correlation and Simple Linear Regression Performing a simple linear regression Calf age, x (in months) Calf weight, y (in kg) Table Sample x y xy x^2 y^2 1 65 65 1 4225 3 110 330 9 12100 5 150 750 25 22500 7 178 1246 49 31684 9 244 2196 81 59536 11 292 3212 121 85264 Σ 36 1039 7799 286 215309 Based on the data from your sample, enter the indicated values in the column on the left (round decimal values to three decimal places). Note that n is the sample size and the symbol Σxy means the sum of the values xy. n: □ Σx: □ Σy: □ Σxy: □ Σx^2: □ Σy^2: □ Sample correlation coefficient (r): □ Slope (b): □ Intercept (a): □
What is the reciprocal of 15 2/3 ? A 15 3/2 B 3 2/15 C 45/3 D 3/47
The equation of a function is y=-7x-12. If this function were graphed, what would its slope be?
Select the correct choices that complete the sentence below. If the terminal side of an angle θ lies in quadrant III, then the values of tan θ and cot θ are and all other trigonometric function values are
Find the y-intercept and x-intercept of the line. 3 x-7 y=-10 y-intercept: x-intercept:
Find the y-intercept of the line y=2x-12. Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.
Adult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the height of a man with a z-score of -1.9 (to 2 decimal places)
Find all complex number solutions to the equation. x^3 - 512 = 0 Choose the correct solution set below. A. 4(cos 60° + i sin 60°), 4(cos 180° + i sin 180°), 4(cos 300° + i sin 300°) B. 8(cos 0° + i sin 0°), 8(cos 120° + i sin 120°), 8(cos 240° + i sin 240°) C. 4(cos 0° + i sin 0°), 4(cos 120° + i sin 120°), 4(cos 240° + i sin 240°) D. 8(cos 60° + i sin 60°), 8(cos 180° + i sin 180°), 8(cos 300° + i sin 300°)
Select ALL statements that are true about the triangles. (Do not add stuff to the diagram) a. ABC ≅ DCB because of Angle-Side-Angle (ASA) b. ABC ≅ DCB because of Angle-Angle-Angle (AAA) c. ABC ≅ DCB because of Side-Side-Side (SSS) d. ABC ≅ DCB because of Side-Angle-Side (SAS) e. ABC ≅ DCB because of Angle-Side-Side (ASS)
A clerk processes 62 invoices in 4 hours. How many invoices can the clerk process by working at this rate for 40 hours per week for 6 weeks? A 1,022 B 1,488 C 2,480 D 3,720
In one month, the national mean price per gallon (in dollars) of gasoline was 3.105. The data table here represents a random sample of 20 gas stations in city A. Is gas in city A more expensive than the nation? Assume the data come from a normal population with no outliers. Complete parts (a) through (d) below. 3.01 3.09 3.08 3.08 3.15 3.12 3.14 3.17 3.14 3.17 3.16 3.18 3.21 3.23 3.19 3.23 3.24 3.21 3.23 3.28 (a) What type of test should be used? - A hypothesis test regarding two population standard deviations - A hypothesis test regarding the difference between two population proportions from independent samples using the standard normal test statistic - A hypothesis test regarding the difference of two means using a matched-pairs design - A hypothesis test regarding a single population mean using Student's approximate t
A student wants to determine if there is a difference in the pricing between two stores for health and beauty supplies. She recorded prices from both stores for each of 10 different products. Assuming that the conditions for conducting the test are satisfied, determine if there is a price difference between the two stores. Use the α=0.1 level of significance. Complete parts (a) through (d) below. A B C D E F G H I J ------------------------------ 5.92 7.46 3.78 1.75 1.78 2.81 4.76 3.13 2.98 3.74 Store 1 5.91 7.98 3.95 1.78 1.97 2.48 4.74 3.74 2.93 3.69 Store 2 C. A hypothesis test regarding two population standard deviations. D. A hypothesis test regarding the difference of two means using Welch's approximate t. (b) Determine the null and alternative hypotheses. Choose the correct answer below. A. H0: μd=0 ; H1: μd<0 B. H0: μd=0 ; H1: μd>0 C. H0: μd=0 ; H1: μd ≠ 0 D. H0: μd ≠ 0 ; H1: μd=0 (c) Use technology to calculate the P-value. (Round to three decimal places as needed.)
Janelle has 3 hours to spend training for an upcoming race. She completes her training by running full speed the distance of the race and walking back the same distance to cool down. If she runs at a speed of 9 mph and walks back at a speed of 3 mph, how long should she plan to spend walking back?
Solve for r. K=9r-s r=
A line has slope 3/4 and passes through the point (8,-3). By substituting into the equation y=mx+b, find the value of b for this line.
A large pipe is held in place by using a 2 -ft-high block on one side and a 5 - ft -high block on the other side. If the length of the arc between the points where the pipe touches the blocks is 14 ft , then what is the radius of the pipe? Hint: Ignore the thickness of the pipe.
What is the sixth term in the sequence given by (an=n^2+2 n) ? (a6=) Ex: 5
Write each of the following numbers in decimal form (non-exponential notation). (Do not include a decimal point for numbers greater than 1. Include a zero before the decimal point for numbers less than 1.) 2.48 × 10^-2 8.31 × 10^4 1.61 × 10^3 4.82 × 10^-4
Exercises. In triangle ABC, AU=16, BU=12, and CF=18. Find each measure. 1. UD 2. EU 3. CU 4. AD 5. UF 6. BE
The standard length of a football field is 4,320 inches long. You measure your local football field and it measures at 4,225 inches. What is the percent error? % Error = (accepted -average / accepted) x 100
Consider the following equation: 3x-3-12=0 Using the two equations found in Step 2, enter the solution set using set notation.
Q. Here is a skewed distribution where the mode is not in the middle but to one side of the distribution. This distribution has a mode of 3, a median of 4, and a mean of 4.8. Take a moment to think about which measure of central tendency would give the best description of the center of the distribution. Do extreme scores impact the calculation of the mean? In other words, does including a very high or very low value change the mean in any way? What about the median? Is there one measure of central tendency that is less affected by extreme scores, thus making it a better estimate of central tendency when we have these scores present?
What are the solutions to 2x^2-8=0 when solved by taking the square roots?
In a gradebook table, students who did not take Test1 have a null value in the Test1 column. When you calculate the class average for Test1, you want to replace those null values with 0 so that the null values will be included in the calculation. Which of these statements will convert those null values to 0 and find the average? a) AVG(Coalesce(Test1, 0)) FROM gradebooks b) SELECT AVG(COALESCE(Test1, 0)) FROM gradebook; c) SELECT Coalesce(Test1, 0)) FROM gradebook; d) SELECT AVG(Test1, 0) FROM gradebook;
Mahjong is a strategy game for four players that is played using tiles. A typical set of Mahjong tiles includes 36 dot tiles, 16 wind tiles, and 12 dragon tiles. Clara places the dot, wind, and dragon tiles from a Mahjong set face down on a table. She chooses one tile at random. What is the probability that Clara chooses each type of tile? Probability of a dot tile: Probability of a wind tile: Probability of a dragon tile:
Solve for y. 4(y+2)-6 y=2 Simplify your answer as much as possible. y=
=37/((1/5)^2+(-5/6)^-2)
(21 × 3+7): 10 ×2 ×[(5 × 5-7 × 2-1) × 2-8 × 2-2]-1
Suppose a marketing company wants to determine the current proportion of customers who click on ads on their smartphones. It was estimated that the current proportion of customers who click on ads on their smartphones is 0.68. How many customers should the company survey in order to be 97% confident that the margin of error is 0.03 for the confidence interval of true proportion of customers who click on ads on their smartphones? Answer: (Round up your answer to nearest whole number)
Find (f''(x)). (f(x)=(x^2+4)^6) (f''(x)=)
P=-76 x^3+4810 x^2-320,000, 0 leq x leq 60 Using this model, find the smaller of two advertising amounts that will yield a profit of 2,490,000. (Round your answer to the nearest thousands of dollars.) x
In a standard deck of cards there are 13 spades, 13 clubs, 13 hearts, and 13 diamonds. The spades and the clubs are black and the hearts and the diamonds are red. If two cards are chosen at random from a deck, one at a time, and replaced after each pick, what is the probability that a black card is chosen first and a heart is chosen second? 1/8 1/2 2/3 3/4
A quilt is designed using a square pattern. Each square contains two rectangles. Each rectangle contains a shaded rhombus. What is the value of x ?
Find the area between the curves. x=-2, x=4, y=3e^(3x), y=2e^(3x)+1 The area between the curves is approximately.
Mean value theorem h(z)=4z^3-8z^2+7z-2 on (2,5).
Which option will balance the weighing scale?
Find the total area between the x-axis and the curve f(x)=-x^2+4 between x=-1 and x=3. 29/3 units ^2 28/3 units ^2 34/3 units ^2 20/3 units ^2
Find the average value of f(x) = 1 + sqrt(x) over the interval [4,25]. 33/7 393/2 99 131/14
Q.3/ Determine whether the series convergent or divergent, if it is convergent, find its sum for: (5 M) A. sum from n=1 to infinity of (7^(n+1))/(2^n) B. sum from n=2 to infinity of 2/((n-1)(n+1)) Q.4/ Determine whether the series convergent or divergent: (5 M) A. sum from n=1 to infinity of n^0.1/n^2 B. sum from n=1 to infinity of ((-1)^(n-1))/n
Use the formula for the general term (the nth term) of a geometric sequence to find the indicated term of the sequence with the given first term, a1, and common ratio, r. Find a12 when a1=2, r=2. A) 8192 B) 4100 C) 4096 D) 24
Find the coefficients of the function with roots, i sqrt(3) and a double root of 2.
If AD=20 and AC=3x+4, find the value of x. Then find AC and DC.
(a) The graph of y=g(x) is shown. Draw the graph of y=-g(x)+4.
Checkout times. The checkout times (in minutes) for 12 randomly selected customers at a large supermarket during the store's busiest time are: 5.3, 5.6, 11.6, 6.7, 8.6, 13.1, 13.8, 7.2, 7.6, 5.8, 13.9, 13.9 a. Find the mean of the checkout times. 9.43 mins (Type an integer or a decimal. Round to two decimal places.) b. Find the standard deviation of the checkout times. mins (Type an integer or a decimal. Round to two decimal places.)
Find the length terms that missing (leaving it in terms of x) in a shape where: Angle A = 28%, Angle B = 22%, Angle C = 24%, Angle D = 12%, Angle E = 16%
A state legislator wants to determine whether his voters' performance rating (0-100) has changed from last year to this year. The following table shows the legislator's performance from the same ten randomly selected voters for last year and this year. Use this data to find the 90% confidence interval for the true difference between the population means. Assume that the populations of voters' performance ratings are normally distributed for both this year and last year. Rating (last year) 75 80 75 74 88 79 53 63 69 78 Rating (this year) 85 69 54 63 63 91 58 52 89 72
A grocery store buys cereal using the cost function c(n)= when n<100 2n 100 ≤ n ≤ 500 1.9n when n>500 1.8n Where n is the number of boxes of cereal the grocery store buys and c(n) is the cost of the cereal. The grocery store then sells the cereal using the sales function s(c)=1.3c. What is the cost of the cereal if the grocery store buys 250 boxes?
Find the value of x.
Find the open intervals where the function is concave upward or concave downward. Find any inflection points. f(x)=14 x=14 e^(-x) Where is the function concave upward and where is it concave downward? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. The function is concave upward on the interval(s) . The function is never concave downward. (Type your answer in interval notation. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B. The function is concave upward on the interval(s) and concave downward on the interval(s) 1. (Type your answers in interval notation. Use integers or fractions for any numbers in the expressions. Use a comma to separate answers as needed.) C. The function is concave downward on the interval(s) (-∞, ∞). The function is never concave upward. (Type your answer in interval notation. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) D. The function is never concave upward or downward. Find any inflection points of f. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The function has an inflection point at . (Simplify your answer. Type an ordered pair, using integers or fractions. Use a comma to separate answers as needed.) B. The function f has no inflection points.
The following is a list of measurements: -4.42, 89, -88, -38, 52, 47, -59, -100, 57, 27 Suppose that these 11 measurements are respectively labeled 1, 2, ..., 11. (Thus -4 is labeled 1, 42 is labeled 2, and so on.) Complete the following: M = (x - 12)^2
Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema, f(x)=x^3+5x-14 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The function is increasing on . (Type your answer using interval notation. Type integers or simplified fractions. Use a comma to separate answers as needed.) B. The function is never increasing. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The function is decreasing on . (Type your answer using interval notation. Type integers or simplified fractions. Use a comma to separate answers as needed.) B. The function is never decreasing. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Type integers or simplified fractions. Use a comma to separate answers as needed.) A. The function has local maxima f(c)= and local minima f(c)= . B. The function has local minima f(c)= , and no local maxima.
Identify the constants in the following expression. 7 a+11 b+8 a b Select all correct answers. Select all that apply: 7 11 8 b a
Determine whether the two functions are inverses. f(x)=5x+4 and g(x)=(x-4)/5
A playground swing sways back and forth and loses momentum and distance with each oscillation. If the swing travels a total distance of 8 feet on the first iteration and the distance of each consecutive oscillation is 3/4 of the previous distance, what distance will the swing travel in the third oscillation, measured to the nearest whole foot? 4 feet 3 feet 5 feet 4.5 feet
In 2016, what percentage of all drivers arrested for DUI were first offenders in Illinois? A. 93% B. 86% C. 59% D. 33%
A golfer wants to model the motion of her golf shot on a graph, She sets the x-axis as time and the y-axis as elevation. What kind of function best represents this scenario? Option #1: a linear function Option #2: a quadratic function Option #3: an exponential function (1 point) The best response is Option # Check answer Remaining Attempts:3
f(x) , find f(2)
One card is randomly selected from a deck of cards. Find the odds against drawing an eight. The odds against drawing an eight are 12 . 1 . (Simplify your answers.)
A triangular brace has an angle measure of 92 degrees, with a side opposite this angle measuring 10 inches. The base of the triangular brace, which is adjacent to the given angle measure, is 12 inches in length. Which of the following statements is correct? A. There is not a solution for the angle opposite the side measuring 12 inches. B. The angle opposite the side measuring 12 inches has one solution of approximately 24 degrees. C. The angle opposite the side measuring 12 inches has two solutions of approximately 24 degrees and 36 degrees D. The angle opposite the side measuring 12 inches has one solution of approximately 32 degrees.
Below is a sequence of 31 different digits for an algorithm. Apply the algorithm, calculate, and produce an accurate prediction for the next sequence of numbers according to the list below for January 4th. Provide multiple possibilities. Previous Results: Wed, Jan 1, 2025: 6, 12, 28, 35, 66, 26 Mon, Dec 30, 2024: 9, 19, 33, 38, 39, 1 Sat, Dec 28, 2024: 6, 31, 51, 54, 55, 12 Wed, Dec 25, 2024: 15, 26, 27, 30, 35, 3 Mon, Dec 23, 2024: 22, 42, 44, 57, 64, 18 Sat, Dec 21, 2024: 1, 12, 17, 21, 58, 1 Wed, Dec 18, 2024:6, 15, 18, 33, 49, 7 Mon, Dec 16, 2024: 9, 30, 33, 57, 61, 17 Sat, Dec 14, 2024: 12, 17, 23, 52, 67, 1 Wed, Dec 11, 2024: 13, 44, 50, 52, 54, 20 Mon, Dec 9, 2024: 35, 37, 40, 45, 51, 24 Sat, Dec 7, 2024: 1, 31, 43, 55, 57, 22 Wed, Dec 4, 2024: 1, 23, 25, 28, 61, 13 Mon, Dec 2, 2024: 3, 9, 26, 61, 67, 13 Sat, Nov 30, 2024: 4, 24, 29, 39, 63, 25 Wed, Nov 27, 2024: 1, 6, 7, 13, 40, 5 Mon, Nov 25, 2024: 5, 35, 45, 60, 63, 12 Sat, Nov 23, 2024: 12, 13, 34, 44, 67, 8 Wed, Nov 20, 2024: 16, 30, 60, 62, 64, 25 Mon, Nov 18, 2024: 27, 31, 41, 52, 69, 26 Sat, Nov 16, 2024: 21, 22, 25, 32, 38, 16 Wed, Nov 13, 2024: 9, 20, 26, 43, 58, 9 Mon, Nov 11, 2024: 3, 21, 24, 34, 46, 9 Sat, Nov 9, 2024: 11, 24, 50, 56, 66, 16 Wed, Nov 6, 2024: 12, 17, 37, 58, 62, 4 Mon, Nov 4, 2024: 6, 18, 33, 48, 53, 21 Sat, Nov 2, 2024: 10, 45, 48, 58, 61, 2 Wed, Oct 30, 2024: 13, 22, 29, 43, 58, 22 Mon, Oct 28, 2024: 21, 27, 32, 48, 67, 17 Sat, Oct 26, 2024: 8, 12, 40, 45, 51, 15 Wed, Oct 23, 2024: 2, 15, 27, 29, 39, 20
What is the value of h in the diagram below? If necessary, round your answer to the nearest tenth of a unit. A. 3 B. 9.1 C. 23 D. 8.1
Find y′. y=4 sin x cos x y′=
Which of the following is the missing side length that completes the Pythagorean triple below? 5,12 A. 17 B. 14 C. 13 D. 15
Big fish: A sample of 300 flounder of a certain species have sample mean weight 24.5 grams. Scientists want to perform a hypothesis test to determine how strong the evidence is that the mean weight differs from 23 grams. State the appropriate null and alternate hypotheses. The null hypothesis is H0: μ (Choose one) . The alternate hypothesis is H1: μ (Choose one) .
Divide the following polynomials: (x^3 - 16x^2 + 73x - 90) ÷ (x^2 - 7x + 10)
Which of the following is the best antonym for "prosperous"? destitute affluent thriving flourishing
Mr. Harvey wants to explore the concept of limits with his middle school math class. Which of the following would be an appropriate way to introduce limits to his students? A Have students write a story to depict what is happening in a distance versus time graph. B Have students explore the area of regular polygons while increasing the number of sides and compare their findings to the area of a circle.
For what values of (t) is the function (g(t)=frac4 t+10t^2-2 t-15) not continuous? (t=(square) square t=(square))
What is the focus (are the foci) of the shape defined by the equation x^2/25 + y^2/9 = 1? (0,2) and (0,-2) (2,0) and (-2,0) (4,3) and (-4,-3) (4,0) and (-4,0) (0,4) and (0,-4)
The critical value z* or t* needed to calculate the margin of error is (Enter your answer to 3 decimal places): Table entry for p and C is the critical value t* with probability p lying to its right and probability C lying
Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 70 miles per hour, with a standard deviation of 4 miles per hour. Estimate the percent of vehicles whose speeds are between 66 miles per hour and 74 miles per hour. (Assume the data set has a bell-shaped distribution.) Approximately % of vehicles travel between 66 miles per hour and 74 miles per hour.
The number of hospital beds in a sample of 20 hospitals is shown below. Construct a frequency distribution and a frequency histogram for the data set using 5 classes. Describe the shape of the histogram as symmetric, uniform, negatively skewed, positively skewed, or none of these. 167 180 128 132 176 156 165 224 149 135 193 205 149 255 258 242 288 134 200 177 Construct a frequency distribution for the data set using 5 classes. (Type whole numbers.) Class Frequency 128-160 161-193 194-226 227-259 260-292 Construct a frequency histogram for the data set using the frequency distribution. Choose the correct answer below.
El área de la región que se encuentra dentro de la curva r=3 sen(θ) y fuera de la curva r=3+3 cos (θ). Se obtiene al completar el desarrollo de:
A boat sails on a bearing of 74° for 123 miles and then turns and sails 223 miles on a bearing of 195°. Find the distance of the boat from its starting point. The distance is miles. (Round to the nearest integer as needed.)
눈수 3/80 를 a/10^n 의 꼴로 나타낼 때, 두 자연수 a, n 에 대하여 a+n 의 최솟값을 구하여라.
What does the variable h represent in the Vertex Form of a parabola: f(x)=(x-h)^2+k ? The value of x at the x-intercept The value of x at the vertex The value of y at the y-intercept The value of y at the vertex The steepness of the slope
Find two functions defined implicitly by this equation. 6x+2y^2=10 y= ± sqrt(?+ x)
Give the exact value of the expression without using a calculator. cos(tan^(-1)(-12/5) + tan^(-1)(4/3)) cos(tan^(-1)(-12/5) + tan^(-1)(4/3))=□ (Simplify your answer, including any radicals. Use integers or fractions for any numbers)
A number cube with faces labeled 1 to 6 is rolled once. The number rolled will be recorded as the outcome. Consider the following events. Event A : The number rolled is even. Event B : The number rolled is less than 4. Give the outcomes for each of the following events. If there is more than one element in the set, separate them with commas. (a) Event "A or B": (b) Event "A and B": (c) The complement of the event B:
Please show ALL work to earn credit. Evaluate the indefinite integral. [ int x^5 sqrt15+x^6 d x ]
The function (f) is defined as follows. [ f(x)=leftbeginarrayll -x+3 text if x<1 3 x-1 text if x geq 1 endarrayright. ] (a) Find the domain of the function. (b) Locate any intercepts. (c) Graph the function. (d) Based on the graph, find the range. (a) The domain of the function (f) is (square) ]. (Type your answer in interval notation.) (b) Locate any intercepts. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The intercept(s) is/are (square) ]. (Type an ordered pair. Use a comma to separate answers as needed.) B. There are no intercepts. (c) Choose the correct graph below. A. B. C. D.
Simplify. Write your answer as a fraction that is reduced. (11029+63484)/(40619+38198)
Let h(x)=sqrt(x^2+4) Where does h have critical points? Choose all answers that apply: A x=-2 (B) x=0 c x=2 D h has no critical points.
Calculate. 5.6 × 10^-6 / 7 × 10^-9 Write your answer in scientific notation.
lim as h approaches 0 of (1/(7n + h^2)) - (1/(7h))
Consider the word AARDVARK. Determine all the permutations of the letters in which the three A's are together.
Joel wanted a large box of cereal, but his mom was unsure if it would fit in the pantry. The box had a volume of 6900 cm 3 , a base length of 23 cm , and a depth of 10 cm . What was the height of the box?
Which shows the following expression after the negative exponents have been eliminated? a^3 b^-2 / a b^-1, a ≠ 0, b ≠ 0 a^3 b^4 / a b^2 a b^4 / a^3 b^2 -a^3 b^4 / a b^2 a^3 b^-4 / a b^-2
Kite WXYZ is graphed on a coordinate plane. What is the approximate perimeter of the kite? Round to the nearest tenth. 10.6 units 11.5 units 14.0 units 16.2 units
Lesson: 8.8 Systems of Linear Inequalities Question 3 of 9. Step 1 of 3 y ≤ -6x + 9 y > 2x - 3 Step 1 of 3 : Graph the solution set of the first linear inequality.
Solve for x . ln x=5 Select the correct choice below and, if necessary, fill in the ans A. The solution is x= . (Type an exact answer in simplified form. Type expone answers as needed.) B. The solution is not a real number.
Which expression is equivalent to b^(-2) / (a b^(-3)) ? Assume a ≠ 0, b ≠ 0. b/a a^3 b/1 1/(a b^5) a/(b^5)
A swimming pool holds 540,000 liters of water. The pool has two drainage pipes. When the pool is completely full, the first pipe alone can empty it in 225 minutes, and the second pipe alone can empty it in 150 minutes. When both pipes are draining together, how long does it take them to empty the pool? minutes
Bob wants to make a picture frame for his new poster, and he needs to purchase the wood. Would he need to find the?
Given m n, find the value of x.
Researchers studying the effects of diet on growth would like to know if a vegetarian diet affects the height of a child. The researchers randomly selected 14 vegetarian children that were six years old. The average height of the children is 43.5 inches with a standard deviation of 3.4 inches. The average height for all six-year-old children is 45.75 inches. Using confidence intervals, test to determine whether there is overwhelming evidence at α=0.01 that six-year-old vegetarian children are not the same height as other six-year-old children. Assume the population is normally distributed.
What are the two equivalent translations of a "neither...nor" statement? ¬p ∧ ¬q ¬(p ∨ q)
Answer the following questions based on the given scenario: Gentleman's Attire Company produces quality men's suits. One suit consists of a jacket and pants. The profit on a pair of pants is 2, and 1.50 on a jacket. Both pants and jackets require the work of sewing operators and cutters. It takes 8 minutes to sew one pair of pants and 4 minutes to cut. It takes 4 minutes to sew one jacket and 8 minutes to cut. There are 60 minutes of sewing time and 48 minutes of cutter time available. Gentleman's Attire Company's goal is to maximize its profits. Let x = number of pants and y = number of jackets. Fill in the blank. The maximum profit is
What is the value of the following expression? 49^2 / (3 * 7^3) (A) 7/3 (B) 3/7 (C) 1/7 (D) 1/21
La suma de dos números es 36. El número más pequeño es 6 menos que el número más grande. ¿Cuáles son los números? Número más grande: Número más pequeño:
Given the Matrices: A=[ [3, -21], [7, 9] ] and B=[ [3, -5], [1, -3] ] Solve: 2A+7B= Multiply [ [7, 4, -3], [4, 5, 0] ][ [7, 4], [-3, 6], [1, -2] ] if possible. If not possible, enter DNE. Graph: y <= x+2, y < -1/4 x -2
Previous Problem f(x)=6 x+4 Part 1 - Difference Quotient If h ≠ 0, then the difference quotient can be simplified into the form A+B h+C h^2. That is: (f(x+h)-f(x))/h=A+B h+C h^2 where the coefficients A, B, and C can be functions of x or just constant terms. Find these coefficients: A= B= C= (Note: It's possible for one or more of these coefficients to be 0.) Part 2 - Derivative Use the simplified expression from Part 1 to then calculate the derivative f′(x) : f′(x)=lim (h → 0) (f(x+h)-f(x))/h f′(x)=
Which are true of the function (f(x)=49(1/7)^x) ? Select three options. The domain is the set of all real numbers. The range is the set of all real numbers. The domain is (x>0). The range is (y>0). As (x) increases by 1, each (y)-value is one-seventh of the previous (y)-value.
Use a double-angle formula to find the exact value of the given 2 cos^2 165°-1 2 cos^2 165°-1= (Simplify your answer, including any radicals. Use integers or fractions.)
The heights of 8th graders are modeled using the normal distribution shown below. The mean of the distribution is 63.6 in and the standard deviation is 1.6 in. In the figure, V is a number along the axis and is under the highest part of the curve. And, U and W are numbers along the axis that are each the same distance away from V. Use the empirical rule to choose the best value for the percentage of the area under the curve that is shaded, and find the values of U, V, and W.
Calculating the Area of a Triangle Find the area of the triangle DEF. Area = square units
Solve for (x) in the equation below. Round your answer to the nearest hundredth. Do not round any intermediate computations. [2^x+2=6] [x=]
The scores of 50 students are given below. 78, 54, 79, 69, 59, 83, 77, 78, 74, epsilon, 62, 74, 79, 81, 58, 78, 75, 59, 76, 5, 55, 80, 66, 52, 83, 64, 71, 64, 54, epsilon, 83, 80, 64, 59, 74, 80, 78, 78, 57, epsilon, 50, 54, 68, 61, 73, 78, 82, 72, 54, 7. (a) Construct a frequency distribution for the data. Use 50-54 for the first class and use 5 for the class width for each subsequent class. Class Frequency 50-54 2 square . square . square square . square square square . square square square square square square (b) Which of the following is the correct histogram for this data?
Solve for x. -x^3-2 x^2+8 x=0 x=[?], ,
Simplify (2^3)^-2.
Function 1 x y 3 13 4 15 5 20 6 28 7 39 Linear Quadratic Exponential None of the above
The weights of steers in a herd are distributed normally. The variance is 40,000 and the mean steer weight is 1000 lbs. Find the probability that the weight of a randomly selected steer is between 819 and 1320 lbs. Round your answer to four decimal places.
The maintenance department at the main campus of a large state university receives daily requests to replace fluorescent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 42 and a standard deviation of 4. Using the 68-95-99.7 rule, what is the approximate percentage of lightbulb replacement requests numbering between 42 and 46?
Find the open intervals where the function graphed below is a) increasing, or b) decreasing. a) List the open interval(s) on which the function is increasing. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The function is increasing on the interval(s) (Type your answer in interval notation. Simplify your answer. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B. The function is never increasing.
Determine the intervals over which f(x)=x^4-4x^3+12 is increasing or decreasing.
The equation sin(40°) = b/20 can be used to determine the length of line segment AC.
Just output the content of the question, DO NOT output additional information or explanations.
Miguel needs to fix a window screen that is 23 feet above. The ladder he uses makes a 75° angle with the ground. What is the shortest possible length of the ladder if the top of it is 23 feet off the ground? Round to the nearest whole number. 6 ft 22 ft 24 ft 89 ft
Solve for x: 3x - 1 = 2
(y^2+y-14)/(y^2-49)+(2/(y+7))
Write the function in vertex form f(x)=x^2+8x+12
m∠1 = ° O 160 O 80 O 140
What is the reciprocal of 0.20 and 5^2 / 3 ? A 5 and 3 / 17 B 2 and 3 / 17 C 5 and 17 / 3 D 5 and 3 / 10
Dante deposits 400 into an account that pays simple interest at a rate of 5% per year. How much interest will he be paid in the first 2 years?
Nathan buys a bottle of water for 1.25, gum for 0.50, and a book for 3.95. The sales tax is 10%. What is the sales tax for the things he buys?
Do x and y have a proportional relationship?
T U is tangent to circle S. What is m angle S? m angle S=
What is the least possible degree of the polynomial graphed above?
Heather works mowing lawns and babysitting. She earns 8.60 an hour for mowing and 7.20 an hour for babysitting. How much will she earn for 4 hours of mowing and 1 hour of babysitting?
Complete the table. f(x)=x+4 x f(x) 0 □ 1 □ 2 □ 3 □