Math Homework Questions & Answers Archive

Find the domain of the function. g(x) = sqrt(5x + 70) What is the domain of g? (Type your answer in interval notation.)

For the equation (f(x)=-x^3+3 x^2+2), which of the following questions is NOT true? The relative minimum is at the point ((0,2)) The function is increasing on the interval ((2,6)) The relative maximum is at the point ((2,6)) The function is increasing on the interval ((0,2))

Use exponent rules to write the following expression in the form 3^n and simplify. Do not evaluate. 9 * (1/9)^(-2) =

Choose the correct answer to complete the sentence: The spread of the estimated sampling distribution of x̄ is the spread of population of closing stock prices. less than the same as greater than

Graph the following function using the techniques of shifting, compressing, stretching, and/or reflecting. Start with the graph of the basic function y=x^2 and show all stages. Be sure to identify at least three key points. Find the domain and the range of the function. f(x)=2(x-3)^2+1 Which transformations are needed to graph the function f(x)=2(x-3)^2+1? Choose the correct answer below. A. The graph of y=x^2 should be horizontally shifted to the left by 3 units, vertically compressed by a factor of 2, and shifted vertically up by 1 units. B. The graph of y=x^2 should be horizontally shifted to the right by 3 units, vertically stretched by a factor of 2, and shifted vertically down by 1 units. C. The graph of y=x^2 should be horizontally shifted to the right by 3 units, vertically stretched by a factor of 2, and shifted vertically up by 1 units. D. The graph of y=x^2 should be horizontally shifted to the left by 3 units, vertically compressed by a factor of 2, and shifted vertically down by 1 units.

All dating schemes that are presently used to determine the absolute age of Earth material involve the decay or breakdown of an unstable parent element to a more stable daughter element. The time it takes for half of the original parent material to be converted to daughter material is referred to as the half-life. Assuming a given parent/daughter dating scheme has a half-life of 2,000 years, what would be the age of an object where only 12.5% of the parent remained? - 15,000 years - 50,000 years - 100,000 years - 6,000 years - 25,000 years

Using the table of equalities, calculate the number of microliters (μL) in 27 liters (L). Remember to select an answer with the correct number of significant figures.

For each equation, choose the statement that describes its solution. If applicable, give the solution. 4(3+y)-y=6+3(y+2) No solution y= All real numbers are solutions 2(u+1)+7=3(u-2)+2u No solution u= All real numbers are solutions

Write a formula for a function g whose graph is similar to f(x) but shifted to the left 4 units and reflected about the y-axis. f(x) = sqrt(x)

1 km = 0.62 mi. The distance between Lake Village and Roselawn is 142 kilometers. How many miles is this?

Change the word phrase to an algebraic expression. Use x variable to represent the number. the quotient of a number and five x/5 5 x 5-x 5+x

2x-y=8 -3x-5y=1

Simplify. 2 cdot(5+2)+2 cdot 5 / 2 cdot(8-1) 1 5/7 4 2/3 2 1 3/5

Calculate the average of any three numbers and report whether it is a whole number or not.

After the creation and implementation of a vaccine, the number of people that catch a disease falls by 40% every 12 days. Given this, compute the per-day rate of decay of the number of people that catch the disease. Give as a percentage, without the percent symbol, accurate to two decimal places (for example, if your answer is 12.6821%, you should input 12.68).

Calculate the cross product. [ (5 mathbfi-3 mathbfj+4 mathbfk) times(mathbfi+mathbfj-5 mathbfk)=a mathbfi+b mathbfj+c mathbfk ] (Give your answer using component form or standard basis vectors. Express numbers in exact form. Use symbolic notation and fractions where needed.) [ langle a, b, crangle= ]

The graph of a function f is shown below. Find f(0).

Find the limit of the transcendental function. lim x→1 cos(πx/3)

A tortoise is walking in the desert. It takes 4 minutes to walk 6.4 meters. What is its speed? meters per minute

Symmetric with respect to the X-axis Symmetric with respect to the Y-axis Symmetric with respect to the origin None of these

f(x)=2(x-3)^2-4

A manufacturer knows that their items have a normally distributed lifespan, with a mean of 3.6 years, and standard deviation of 1.2 years. If you randomly purchase one item, what is the probability it will last longer than 3 years? Round answer to three decimal places.

Solve the inequality (x+8)/(x+2) < -2 Give your answer in interval notation.

Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given question. Listed below are the jersey numbers of 11 players randomly selected from the roster of a championship sports team. What do the results tell us? 16, 54, 69, 39, 45, 81, 22, 65, 48, 66, 76

Which data set has an outlier? 6,13,13,15,15,18,18,22 4,4,4,8,9,9,11,18 2,3,5,7,8,8,9,10,12,17 3,6,7,7,8,8,9,9,9,10

1.) Sketch the region enclosed by the curves below. 2.) Decide whether to integrate with respect to x or y. 3.) Find the area of the region. y=1/x, y=1/x^2, x=2 Area =

Graph the function. Identify three points on the graph. f(x)=x^3 Given the x-coordinates, determine the y-coordinates of three points on the graph. x y -1 0 1 (Simplify your answers. Type integers or decimals.)

Below is the velocity function, in feet per second, for a particle moving along a straight line. Find (a) the displacement and (b) the total distance that the particle travels over the given interval. v(t) = t^3 - 14t^2 + 59t - 70 2 ≤ t ≤ 7 (a) Displacement: -30.8333 (b) Total distance: 35.1667

k(x)=(x-5)^(2/3)

Given the function f and point a below, complete parts (a)-(c). f(x)=5 x^2, x ≥ 0, a=2 f'(x)=√5 b. Graph f and f^(-1) together. Choose the correct graph below. A. B. C. D.

If a ball is thrown directly upward with a velocity of 20 ft / s, its height (in feet) after t seconds is given by y=20t-16t^2. What is the maximum height attained by the ball? (Round your answer to the nearest whole number.)

∫ from 0 to π / 2 e^(sin(x)) cos(x) dx =

What is the value of s?

Find the points on the curve (y=2 x^3+3 x^2-12 x+5) where the tangent line is horizontal. ((x, y)=()( smaller (x) -value) ) ((x, y)=()( larger (x) -value) )

y=x^2-8, y=x+4 smaller x-value (x, y)= larger x-value (x, y)=

Solve for (n). [ fracn24=frac832 ] (n=) (square) (Type an integer or a simplified fraction.)

Solve the following inequality and graph the solution set. -4x + 10 <= 9

Given the following list of values, is the mean or the median likely to be a better measure of the center of the data set? 29,30,31,30,30,34,32,28 Select the correct answer below: Mean Median

Match the graph of the function on the right with the graph of its derivative. Choose the correct graph of the function (in blue) and its derivative (in red) below. A. B. C. D.

Determine the value of z.

Find all the zeros. Write the answer in exact form. p(x)=3 x^4-14 x^3+15 x^2+12 x-20 If there is more than one answer, separate them with commas. Select "None" if applicable. The rational zeros of p(x) :

Which line cuts the y-axis at 4? y=x-4 x-y=4 y=2(3x+2) y=4x+1

Simplify the complex fraction. (1/18) / (2/5)

x^6-26x^3-27

Determine the implied domain of the following function. Express your answer in interval notation. f(x) = √(x+1) + 6

Find the quotient and remainder using long division. [ (x^2-4 x+7)/(x-3) ] quotient remainder

What are the odds against drawing a consonant?

Determine the domain of the function represented by the given equation. (Enter your answer using interval notation.) f(x)=sqrt1-x

A manufacturer knows that their items have a normally distributed lifespan, with a mean of 11.3 years, and standard deviation of 0.6 years. If you randomly pGirchase one item, what is the probability it will last longer than 12 years? Round answer to three decimal places

Given the following function, determine the difference quotient, (f(x+h)-f(x))/h. f(x)=-2x^2+x-7

Te presentamos algunas situaciones ficticias, donde se puede ver cómo el Razonamiento Matemático está presente en general en nuestra vida. Empareja cada uno de ellas con el cálculo o conocimiento que habría que emplear: "Vas a poner gasolina y calculas lo que te vas a gastar sabiendo los litros que tienes que poner y su precio." "Tienes la receta de bizcocho para 4 raciones, pero calculas hacerlo para 6 raciones aumentando las cantidades." "Te han pedido que coloques unas estanterías en la pared de manera paralela." "Para realizar un trabajo, tienes que identificar cuántos tipos de árboles distintos encuentras en un parque de tu ciudad." Conocimientos de geometría Proporcionalidad Suma Multiplicación

lim as x approaches a of f(x) does not exist. Suppose a product's revenue function is given by R(q) = -3q^2 + 400q, where R(q) is in dollars and q represents the quantity of units sold. What is the marginal revenue when 50 units are sold? 12500 100 50 -100 Consider the function f(x) = ln(x^2 + 4x + 12). To compute f'(x), we use

Literal Equations Def: An equation that contains multiple variables is called a equation (an equation with many letters).

Consider the following equation. x-4=0 Step 1 of 3: Express the given equation in standard form by solving for x. Simplify your answer.

Objective Function for Maximum Profit: z=19x+25y Constraint inequality for cutting and sanding: 45x+55y ≤ 300; Constraint inequality for sealing and attaching handles: 15x+25y ≤ 180

Let f(x)=4x^4-x^2-3. (a) Find f'(x). f'(x)= (b) Find the slope of the line tangent to the graph of f at x=4. Slope at x=4 : (c) Find an equation of the line tangent to the graph of f at x=4. Tangent line: y=

Use the quadratic formula to solve for (x). [ 7 x^2+3 x-2=0 ] (If there is more than one solution, separate them with commas.) [ x= ]

A child is 20 inches long at birth. If we consider that the baby will grow at a rate proportional to its body size until adulthood, then the percentage of her adult height attained can be modeled by the following logarithmic function. f(x)=20+47 log (x+2) where x represents her age in years and f(x) represents the percentage of her adult height reached at age x. At what age will the child reach 95% of her adult height? Round your answer to the nearest whole year, if necessary.

Estimate the definite integral ∫ from 3 to 4 of √x dx using a left Riemann sum. Complete the table below by filling in the left Riemann sum of f(x)=√x over the interval [3,4] with n=4 subdivisions. Then estimate the sum. (Do not round your answers in the table, but round the sum to 2 decimal places.) Delta x x f(x) Area 0.25 3 √3 (0.25)(√3) 0.25 3.25 0.25 3.5 √3.5 0.25 √3.75 (√3.25) Sum:

Find the x-intercept. y=(8x+16)/(x-4) ([?], 0)

(d) (g-f)(5) = □ (e) (f · g)(1) = □ (f) (f/g)(3) = □

Caitlyn sells her drawings at the county fair. She wants to sell at least 95 drawings and has portraits and landscapes. She sells the portraits for 18 each and the landscapes for 10 each. She needs to sell at least 1260 worth of drawings in order to earn a profit. Write a system of 2 inequalities to model this situation. Use "x" for the number of portraits and "y" for the number of landscapes. First Inequality: Second Inequality: Solve your system of inequalities by graphing.

In your biology class, your final grade is based on several things: a lab score, scores on two major tests, and your score on the final exam. There are 100 points available for each score However, the lab score is worth 23% of your total grade, each major test is worth 22%, and the final exam is worth 33%. Compute the weighted average for the following scores: 87 on the lab, 90 on the first major test, 80 on the second major test, and 84 on the final exam. Enter your answer as a whole number.

Ex 3: Identify each equation as a conditional equation, a contradiction, or an identity. a) 6x-3=2(3x-2) b) 6x-3=2(3x-2)+1

For the graph of the linear function f(x)=mx+b, m is the and b is

Question from 1.5: Complex Numbers Find all solutions of the equation and express them in the form (a+bi). (Enter your answers as a comma-separated list. Simplify your answer completely.) (2 x^2-2 x+1=0) (x=)

The measures of the angles of a triangle are shown in the fig below. Solve for x.

Use the unit circle to determine the value of tan 19π. Complete parts (a) through (c) below (a) Given a real number t and the corresponding point P(x, y) on the unit circle, find the unit circle definition of the tangent function choose the correct answer below A. tan t=y B. tan t=x C. tan t=x/y, y ≠ 0 D. tan t=y/x, x ≠ 0

Graph f(x) = x^3, x ≠ -2; 0, x = -2 Find lim x → -2^- f(x) and lim x → -2^+ f(x). Does lim x → -2 f(x) exist? If so, what is it? If not, why not? Find lim f(x) and lim f(x). Select the correct choice below and, if necessary, fill in any answer box(es) in your choice. A. lim x → -2^- f(x) = and lim x → -2^+ f(x) does not exist. (Simplify your answer.) B. lim x → -2^- f(x) =, lim x → -2^+ f(x) = (Simplify your answers.) C. lim x → -2^+ f(x) = and lim x → -2^- f(x) does not exist. (Simplify your answer.) D. lim x → -2^- f(x) and lim x → -2^+ f(x) do not exist.

It is estimated that t hours after an injection of an experimental drug, the concentration of that drug in the bloodstream is given by V(t)=65 e^(-0.36 t) units per liter of blood. What is the concentration of the drug, in units per liter of blood, 3 hours after the injection? Input your answer as a number (no labels) rounded accurate to two decimal places. 22.07

Se tiene una caja con las siguientes medidas: Alto: x Ancho: 2-x Largo: 4-2x Determina: a) El modelo matemático V(x) para representar el volumen de la caja. b) Gráfica V(x) en los valores indicados y determina el volumen máximo que esta caja puede contener. Completa la tabla: x V(x)= (x, y) 0.6 0.9 1 1.3 1.6 2

Part 3 of 7 0 of 1 Point The number of fish in a commercial pond can be modeled by the following function F(t) = 401 - 401 e^(-0.29 t), where F(t) is the number of fish in month t. (a) Graph the function. (b) Estimate the number of fish in the pond in month 0, 1, 5, 10, and 15. (c) Is there a maximum number of fish this pond can accommodate? If yes, how many?

Evaluate the integral. [ int1^2 frac4 y^2-6 y-12y(y+2)(y-3) d y ]

The figure below is dilated by a factor of 1/4 centered at the origin. Plot the resulting image. Click twice to plot a segment. Click a segment to delete it.

For mutually exclusive events R1, R2, and R3, we have P(R1) = 0.05, P(R2) = 0.5, and P(R3) = 0.45. Also, P(Q R1) = 0.3, P(Q R2) = 0.7, and P(Q R3) = 0.8. Find P(R3 Q)

Find the domain of the following rational function. R(x)=8(x^2-3x-70)/(9(x^2-100)) The domain is (Type your answer in interval notation. Use integers or fractions for any numbers in the expression.)

X=3y+7 3x-2y=7

Even Odd Neither

Surveys are often conducted on the trends in digital platforms. The frequency table below summarizes the number of working computers in household for a simple random sample of 19 households. Find the five-number summary. Report the five-number summary in the following order: Min, Q1, Median (Q2), Q3, Max. Number of Computers, Frequency 0, 1 1, 2 2, 3 3, 7 4, 5 5, 1

log3(3^(1/2))=

(4 x^3)^5 ⋅ (2 x^2)^-4

Solve for y. y+b=c y=

A function f is given, and the indicated transformation is applied to its graph. Write the equation for the final transformed graph f(x)=sqrt(x); shift 6 units to the left y=

Solve the radical equation. √(8-2x)=x

Analyzing Function Behavior For each table below, select whether the data represents a function. If it does represent a function, determine if the function is increasing, decreasing or constant. x y 3 182 4 168 5 150 6 128 7 102 8 72 Select an answer x y 3 18 4 32 5 50 6 72 7 98 8 128 Select an answer x y 3 17 4 19 5 21 6 23 4 25 8 27 Select an answer x y 3 -7 4 -7 5 -7 6 -7 7 -7 8 -7 Select an answer

A penny is found to have a length of 2.17 × 10^-2 meters. Using unit analysis, show what the length of the penny is in millimeters.

Give the center and radius, then sketch the graph of the circle: (x-2)^2+(y+4)^2=4

m/2 - 9 = -21

The average weekly unemployment benefits (in dollars) for a random selection of states are listed below. 272 239 289 214 276 252 190 209 251 272 310 321 Find the standard deviation. Round your answer to at least one decimal place. The standard deviation is 40.2 . Find the range rule of thumb. Round your answer to one decimal place.

You were asked to simplify the following algebraic expression: -2(3x+4)-(4y+2) Next, using the commutative property of addition, group the like terms. Do not combine any like terms yet. -6x-8-4y-2=

What are the sample standard deviation for process 1 and 2?

In a normal distribution, which statement best describes the relationship between mean, median, and mode? The mode will always be the smallest value, while the mean and median will be the same. The mean will be in the center of the distribution and the mode and median may be higher or lower than the mean. The mean, median, and mode will all be in the middle of the distribution. The mode and median will fall in the center of the distribution and the mean will be larger than both.

Question 5 (1 point) Which of the following represents a vertical stretch to the parent function f(x)=x ? g(x)=-x g(x)=(1/3) x g(x)=3x g(x)=-x g(x)=(1/3)x g(x)=3 x

Estimate the correlation coefficient for each of the following. (a) near 0.00 near -0.75 near 0.75 near 0.33 near -0.33 (b) near 0.00 near -0.75 near 0.75 near 0.33 near -0.33 (c) near 0.00 near -0.75 near 0.75 near 0.33

Factor. 16 x y-6 x^2 16 x y-6 x^2= (Factor completely.)

STATISTICAL PRACTICE Homework Question 512.2.40 HW Score: 50%, 3 of 6 points Does a teaspoon of honey before bed really calm a child's cough? To test this folk remedy, pediatric researchers carried out a designed study involving a sample of 105 children who were ill with upper respiratory tract infections. The children, aged 2 to 18 years, were randomly assigned on a single night to one of three treatment groups. One group received a dose of buckwheat honey before bedtime. Unknown to the parents and children, a second group received a dose of dextromethorphan (DM)—an over-the-counter cough medicine while others received no treatment at all. The third group of children received a sweet-tasting placebo. (Also, the honey group actually received a darker type of honey, while the other treatment groups received lighter-colored honeys to help mask any differences.) The next day, parents rated their children's cough symptoms, and the improvement in total cough symptoms score was determined for each child. The data (improvement scores) for the study are shown in the table attached below. Construct a dot plot of the improvement scores for the honey group. a. Construct a dot plot for the coughing improvement scores for the children in the honey dosage group. Choose the correct dot plot below. [Four dot plot options shown] b. What coughing improvement scores occurred most often in the honey dosage group? Type a whole number. Use a comma to separate answers as needed. Clear all Check answers GO BLUE HENS

Formulas for the Graphs a. f(x)=3^x b. f(x)=-(3^x) c. f(x)=(1/5)^x d. f(x)=-(1/5)^x

Foot temperatures: Foot ulcers are a common problem for people with diabetes. Higher skin temperatures on the foot indicate an increased risk of ulcers. In a study performed at the Colorado School of Mines, skin temperatures on both feet were measured, in degrees Fahrenheit, for 8 diabetic patients. The results are presented in the following table. Use a TI-84 calculator to answer the following. Left Foot Right Foot --- --- 80 80 75 80 85 85 88 86 89 87 78 78 87 82 88 89 Send data to Excel Part: 0 / 4 Part 1 of 4 Compute the least-squares regression line for predicting the right foot temperature from the left foot temperature. Round the slope and y-intercept values to four decimal places. ŷ =

The sum of two numbers is -3. The difference of the two numbers is -11. What are the two numbers? The first number = The second number =

Resuelve: (0.00000024)(0.0000000003) / 0.000000002 (A) 3.6 x 10^-8 (B) 3.6 x 10^8 (C) 3.6 x 10^26 (D) 3.6 x 10^-26

A random sample of 84 eighth grade students' scores on a national mathematics assessment test has a mean score of 288. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than 280. Assume that the population standard deviation is 36. At α=0.08, is there enough evidence to support the administrator's claim? Complete parts (a) through (e) (a) Write the claim mathematically and identify H0 and Ha. Choose the correct answer below. A. H0: μ=280 (claim) B. H0: μ<280 Ha: μ>280 Ha: μ ≥ 280 (claim) C. H0: μ=280 D. H0: μ ≥ 280 (claim) E. H0: μ ≤ 280 (claim) Ha: μ>280 Ha: μ>280 (claim) Ha: μ<280 F. H0: μ ≤ 280 Ha: μ>280 (claim)

Solve and write interval notation for the solution set. Then graph the solution set. -3 ≤ x+5 ≤ 3

si los valores del triángulo son a=7.5 m ; °C=100° ; °B=47° 3.1.- determine el valor del ángulo °A 3.2.- cual es el valor del lado c del triangulo 3.3.- cual es el valor del lado b del triangulo

Evaluate the expression for x=2 and y=4. 5(x+7)-6y The value of the expression 5(x+7)-6y for x=2 and y=4 is □

Consider the following. Consider the following. y = 4 sin(3x) + 3 Find the period and the amplitude of the graph period amplitude Consider one cycle beginning on the y-axis. Divide smallest x-value (x, y) = ( ) (x, y) = ( , y) = ( ) (x, y) = ( ) largest x-value (x, y) = ( )

Determine the reference angle for θ = 25π/4. What is the angle of least nonnegative measure coterminal with θ? θC= (Type your answer in radians. Type an exact answer, using π as needed. Use integers or fractions for any

The technology output for 1/2^53 is 1.11022302 E-16. Write this number in scientific notation with three significant digits. The number 1/2^53 written in scientific notation with three significant digits is .

Divide and check (45 c^8 p^9-40 c^6 p^7+20 c^3 p^4)/(5 c^3 p)

Which of the following lines is perpendicular to the line passing through (1,-1) and (2,1) ? y-2 x=-5 y+2 x=8 2 y+x=3 2 y-x=5 y+3 x=-4

Divide and check (28 w^7 f^8 - 12 w^5 f^6 + 12 w^2 f^3) / (4 w^2 f)

Use factoring to solve the quadratic equation x^2 - x - 72 = 0 The solution set is

Using Table 1, calculate per capita real (1988=100) disposable personal income in 2018. Enter your answer in dollars rounded to the nearest one dollar. Table 1. Population, CPI, Income, and Food Expenditure Data. Year Population CPI Disposable Personal Income At-Home Household Food Expenditures Away-From-Home Household Food Expenditures Total Household Food Expenditures --------------------- · millions (1988=100) ... billions , nominal . 1997 273 135.7 6,161 354 265 619 1998 276 137.8 6,574 364 278 642 1999 279 140.8 6,890 386 292 678 2000 282 145.6 7,416 405 313 718 2001 285 149.7 7,767 423 326 749 2002 288 152.1 8,107 428 334 762 2003 290 155.5 8,484 444 355 799 2004 293 159.7 8,986 466 382 848 2005 296 165.1 9,386 491 407 898 2006 298 170.4 10,025 515 434 949 2007 301 175.3 10,515 543 461 1,004 2008 304 182.0 10,935 564 478 1,042 2009 307 181.3 10,907 537 476 1,013 2010 309 184.3 11,314 538 489 1,027 2011 312 190.1 11,873 562 517 1,079 2012 314 194.1 12,501 582 542 1,124 2013 316 196.9 12,505 592 561 1,153 2014 318 200.1 13,207 625 587 1,212 2015 321 200.4 13,784 635 627 1,262 2016 323 202.9 14,203 650 655 1,305 2017 325 207.2 14,902 680 687 1,367 2018 327 212.3 15,767 709 733 1,442 2019 328 216.1 16,349 736 764 1,500

Order Derivatives Find (d^2 y / d x^2). y=1/x^3 d^2 y / dx^2 = □

Provide an appropriate response. Given the following five-number summary, find Q2. 2.9,5.7,10.0,13.2,21.1. (A) 10.0 (B) 12 (C) 5.7 (D) 13.2

Question 4 Systems of Equations Below are three systems of equations. Examine the slope and vertical intercepts of each to determine the type of solutions to that system of equations y1 = 2x - 4 y2 = -2x + 4 Select an answer y1 = 2.5x + 4 y2 = 5/2 x + 4 y1 = 2x + 4 y2 = 2x + 2

A bag contains n cards, each having one of the numbers (1,2,3, ..., n) written on it. If all numbers are used, the probability of drawing a card with a number less than or equal to 5 is 1/2. How many cards are in the bag?

Evaluate. -x^2-9x for x=-7

(x+3)^2 + (y+4)^2 = 1

Translate the figure 3 units right and 1 unit up. Plot all of the points of the translated figure. You may click a plotted point to delete it.

Simplify the following linear expression: 0.8+(-2 m)-1.2+6.5 m

Convert 2,500,000,000 to scientific notation.

The graph is shown for f(x) = (x^4 + 3x^3 - 39x^2 - 47x + 210) / (x^4 - 2x^3 - 21x^2 + 22x + 40) This function can be expressed in factored form as: f(x) = (x+3) * (x-5) * (x+7) * (x-2) / (x+4) * (x-5) * (x+1) * (x-2) Which of the following is a TRUE statement? There are discontinuities at x=-4, x=-1, x=2, and x=5, which cause the denominator to become zero. There are discontinuities at x=-4 and x=-1 only (nowhere else), which are shown as locations of vertical asymptotes. There are discontinuities at x=2 and x=5 only (nowhere else), which are shown as holes in the graph.

The goal of this problem is to solve the following equation: 12 x-(5 x-7)=49 First, simplify the equation by finding an equivalent left-hand side that does not contain parentheses: Simplified equation:

Perform the operations in the correct order. 32 ÷ (8-4)

a. Set up an integral for the length of the curve. b. Graph the curve to see what it looks like. c. Use a grapher's or computer's integral evaluator to find the curve's length numerically. x=2 sin y, (π/6) ≤ y ≤ (5π/6) a. The integral is (Type an exact answer, using π and radicals as needed.)

Determine the truth value of the statement (p ∨ ¬q) ∧ r using the following conditions. a) p is true, q is false, and r is true. b) p is false, q is false, and r is false. a) If p is true, q is false, and r is true, what is the truth value of (p ∨ ¬q) ∧ r?

An item is regularly priced at 95. It is on sale for 40% off the regular price. How much (in dollars) is discounted from the regular price? Amount discounted:

Which of the following statements is the best description for the data in Question 7? A. The data is spread out and skewed left. B. Most of the data is far from the median and skewed right. C. The data is symmetrical, and the mean is close to the median. D. The data is spread out with 18 items being the most common number of items per load.

Convert the equation (f(t)=253 e^-0.27 t) to the form (f(t)=a b^t) a= b=

Find the equation of the line through (-3,1) and parallel to 3y-4x=3 A y=(4 / 3) x+3 B y=(3 / 4) x-5 C y=(4 / 3) x+5 D none of the above

What is the value of √200 + √50 ? √30 √224 5 √10 15 √2 15 √3

Determine whether the equation represents y as a function of x. x^2 + y^2 = 81 Yes No Submit Answer Find the function value, if possible. (If an answer is undefined, enter UNDEFINED.) f(x) = sqrt(x+8) + 2 (a) f(-8) (b) f(1) (c) f(x-8) Submit Answer Use the Vertical Line Test to determine whether the graph represents y as a function of x.

Find an equation of the line through the given pair of points. (-7,-8) and (-3,-6). The equation of the line is . Simplify your answer. Type an equation using x and y as the variables. Use integers or fractions for any numbers in the equation.

The reduced row echelon form of a system of linear equations is given. Write the system of equations corresponding to the given matrix. Use x, y, and z as variables. Determine whether the system is consistent or inconsistent. If it is consistent, give the solution. [ [1 0 0 -1] [0 1 0 -3] [0 0 0 -6] ] What equation does the first row represent? (Type an equation.)

Drawing Cards If two cards are selected from a standard deck of 52 cards and are not replaced after each draw, find these probabilities. a. Both are 9 s . b. Both cards are the same suit. c. Both cards are spades.

Find the exact values of s in the interval [0,2 π) that satisfy the given condition sin^2 s = 1/4.

For the given data, construct a frequency distribution and frequency histogram of the data using five classes. Describe the shape of the histogram as symmetric, uniform, skewed left, or skewed right. Data set: California Pick Three Lottery 3 6 7 6 0 6 1 7 8 4 1 5 7 5 9 1 5 3 9 9 2 2 3 0 8 8 4 0 2 4 A. skewed left B. uniform C. skewed right D. symmetric

The students in a first-grade class were all asked to time how long (in seconds) they could hold their breath. The results were tallied and are presented in the following histogram. How many of those students held their breath for less than 11.5 seconds?

Process Costing Journal Entries a1. Journalize the cost of materials transferred into the Cutting Department at the beginning of 2023. The cost of materials is 775,200. Work in Process-Cutting Materials Control a2. Journalize the conversion costs for the Cutting Department. Work in Process-Cutting Various Accounts a3. Journalize the costs transferred from the Cutting Department to the Finishing Department. The cost of materials transferred is 775,200. The conversion costs charged to the Finishing Department are 6,000,000. Work in Process-Finishing Work in Process-Cutting

Sheet1 Accessibility Investigate regression 1 regression 2 A B C D E F G H I 1 5.8 0.5 3.5 23.5 54.2 71.2 91.5 113.6 130.6 2 7.1 1.8 4.8 25.5 56.2 73.2 93.5 115.6 132.6 3 8.4 3.1 6.1 27.5 58.2 75.2 95.5 117.6 134.6 4 9.7 4.4 7.4 29.5 60.2 77.2 97.5 119.6 136.6 5 11.0 5.7 8.7 31.5 62.2 79.2 99.5 121.6 138.6 6 12.3 7.0 10.0 33.5 64.2 81.2 101.5 123.6 140.6 7 13.6 8.3 11.3 35.5 66.2 83.2 103.5 125.6 142.6 8 14.9 9.6 12.6 37.5 68.2 85.2 105.5 127.6 144.6 9 16.2 10.9 13.9 39.5 70.2 87.2 107.5 129.6 146.6 10 17.5 12.2 15.2 41.5 72.2 89.2 109.5 131.6 148.6 11 18.8 13.5 16.5 43.5 74.2 91.2 111.5 133.6 150.6 12 20.1 14.8 17.8 45.5 76.2 93.2 113.5 135.6 152.6 13 21.4 16.1 19.1 47.5 78.2 95.2 115.5 137.6 154.6 14 22.7 17.4 20.4 49.5 80.2 97.2 117.5 139.6 156.6 15 24.0 18.7 21.7 51.5 82.2 99.2 119.5 141.6 158.6 16 25.3 20.0 23.0 53.5 84.2 101.2 121.5 143.6 160.6 17 26.6 21.3 24.3 55.5 86.2 103.2 123.5 145.6 162.6 18 27.9 22.6 25.6 57.5 88.2 105.2 125.5 147.6 164.6 19 29.2 23.9 26.9 59.5 90.2 107.2 127.5 149.6 166.6 20 30.5 25.2 28.2 61.5 92.2 109.2 129.5 151.6 168.6 21 31.8 26.5 29.5 63.5 94.2 111.2 131.5 153.6 170.6 22 33.1 27.8 30.8 65.5 96.2 113.2 133.5 155.6 172.6 23 34.4 29.1 32.1 67.5 98.2 115.2 135.5 157.6 174.6 24 35.7 30.4 33.4 69.5 100.2 117.2 137.5 159.6 176.6 25 37.0 31.7 34.7 71.5 102.2 119.2 139.5 161.6 178.6 26 38.3 33.0 36.0 73.5 104.2 121.2 141.5 163.6 180.6 27 39.6

For each part (f(x)) and (a) so that the expression is one of the limit definitions of (f^prime(a)). (a) Find the simplest (f(x)) and (a) so that: (f^prime(a)=lim x rightarrow 3 frac2^x-8x-3) (f(x)=) (function of (x)) (a=) (number) (b) Find the simplest (f(x)) and (a) so that: (f^prime(a)=lim h rightarrow 0 fraccos left(fracpi4+hright) sin left(fracpi4+hright)-frac12h) (f(x)=) (function of (x)) (a=) (number)

Which of these is the most precise definition of a Z score? a measure of where a score falls in the population relative to the mean value a measure of a score's variance relative to other scores a measure of how many standard deviations a score is above or below the mean a measure of how far a score is from the mean a measure of how extreme a value is

Let f(t) = sqrt(6) / t^5. Then, f'(t) = □ f'(2) = □

Find the slope-intercept form of the linear function f whose graph passes through the given pair of points. 3) (-6,-3) and (-8,-7) A) f(x)=-2x+9 B) f(x)=2x+9 C) f(x)=2(x+6)-3 D) f(x)=-2x-9

1. a. What conversion factor(s) can you use to convert m to km? a. 1 m / 1 km b. 1000 m / 1 km c. 1 km d. 1 km / 1000 m b. Complete the conversion of 16 m to km 2. a. What conversion factor(s) can you use to convert g to μg? a. 1 x 10^0 g / 18 a. 18 / 18 b. 1000 Hg / 1 g c. 1 g / 1 x 10^6 Hg d. 18 / 1000 Hg b. Complete the conversion of 0.000063 g to μg

Representing Tenths The large grid below is the unit and each rectangle is 1/10 or one tenth of the unit Use the polygon tool to outline the area that represents 0.6 Write the fraction with a denominator of 10 that is equivalent to the shaded area. Write the word name that represents the shaded area.

Find an equation in slope-intercept form for the line. Through (5,4) and (2,6) The equation of the line is

Quadratic Functions Question 6, 2.1.57 Part 5 of 6 For the equation y=x^2-2x+6, complete parts a) through e). (a) Which way does the parabola open? A. The parabola opens upward because a is positive. B. The parabola opens downward because a is negative. C. The parabola opens upward because a is negative. D. The parabola opens downward because a is positive. b) Find the vertex of the parabola. The vertex is (1,5). (Type an ordered pair.) c) Find the axis of symmetry. The axis of symmetry is x=1. (Type an equation.) (d) Identify the x-intercept(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The x-intercept(s) is/are x= . (Type an integer or a fraction. Use a comma to separate answers as needed.) B. There are no x-intercepts. Identify the y-intercept(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The y-intercept(s) is/are y= . (Type an integer or a fraction. Use a comma to separate answers as needed.) B. There are no y-intercepts.

A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. Draws are made without replacement. P(both marbles are purple) 1 / 4 2/9 1 / 3 1 / 2

Evaluate the limit. lim as x approaches infinity of (4x^3+1)/(2x^3+sqrt(16x^6+1)) [A] 0 [B] 2 [C] 1/4 [D] infinity [E] 2/3

Can you crack the 3 digit code? 3 0 2 0 3 5 6 5 7 4 Two numbers are correct 6 8 9 Nothing is correct 6 7 0 One number is correct but wrong place

Solve the equation below. 7(x-3)-2=20x-101

Let p(t) represent the population of the Las Vegas metropolitan area t years after 1970, as shown in the table and figure. Answer parts (a) through (c). Year 1970 1980 1990 t 0 10 20 p(t) 305,000 528,000 853,000 Year 2000 2010 2020 t 30 40 50 p(t) 1,563,000 1,951,000 2,223,000 Source: U.S. Bureau of Census a. Compute the average rate of growth of the city population from 1980 to 1990. The average rate of growth is people/year. (Simplify your answer. Type an integer or a decimal.)

21 / 4+21 / 3= 11 / 2 12 / 21 412 / 25 31 / 21

Use both the addition and multiplication properties of inequality to solve the inequality and graph the set on a number line. -5x-2<28 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is (Type your answer in interval notation.) B. The solution set is , the empty set.

Find the experimental probability (aka relative frequency): Roll dice: 1,3,3,4,4 P(1)= 2 / 5 1 / 6 1 / 5 3 / 5

Given g(x)=4x^2-x+9, find the following. (a) g(0) (b) g(-1) (c) g(r) (d) g(x+h)

Solve the equation. 9+9 sin theta=6 cos^2 theta

Give the domain and the range of the function whose graph is shown to the right. When arrows are drawn, assume the function continues in the indicated direction. The domain is (Type your answer in interval notation.) The range is (Type your answer in interval notation.)

In the diagram below, BD→ is parallel to XY→. What is the value of x? A. 125 B. 75 C. 55 D. 115

If f(g)=2g+2 and g(x)=-2x, what is f(g(x)) in terms of x?

(a^3 - 7a^2 - 64) / (a - 8) =

5t+3+1=19

a. Using the pairs of values for all 10 points, find the equation of the regression line. b. After removing the point with coordinates (8,3), use the pairs of values for the remaining 9 points and find the equation of the regression line. c. Compare the results from parts (a) and (b). a. What is the equation of the regression line for all 10 points? ŷ = + × (Round to three decimal places as needed)

During a quality assurance check, the actual contents (in grams) of six containers of protein powder were recorded as 1523, 1529, 1500, 1517, 1531, and 1510. (a) Find the mean and the median of the contents. (b) The third value was incorrectly measured and is actually 1521. Find the mean and the median of the contents again. (c) Which measure of central tendency, the mean or the median, was affected more by the data entry error?

Find the derivative of y with respect to x. y = ln (1-x)/(x+5)^6

You have 13 different video games. How many different ways can you arrange the games side by side on a shelf? You can arrange the 13 different video games in different ways.

Convert the decimal 1.24 into a percentage. What is the percent value?

Divide. (x^3-6x^2-49)/(x-7)

Solve the following system of equations. 0.2 x + 1.4 y = 9 0.8 x - 0.4 y = -6 x = y =

The least common denominator for 6/10, 5/8, 3/4, and 1/2 is - 32. - 40. - 80. - 12.

Name the slope and one point that is on the line represented by the equation: x=-2 m=0 and point (-2,4) m= zero and point (5,0) m= undefined and point (-2,5) m= hidefined and point (5,-2)

Find the vertex. (x, y)=(55,25 Find the x - and y-intercepts. x -intercept (x, y)=(50,0 x -intercept (x, y)=(60,0 y -intercept (x, y)=(0,25) Part 4 - Maximum profit What is the maximum profit? P= How many players need to be sold to maximize profit? x= players

The following data represent the flight time (in minutes) of a random sample of six flights from Las Vegas, Nevada, to Newark, New Jersey, on United Airlines. 282, 260, 266, 257, 260, 267 Compute the range and sample standard deviation of flight time. The range of flight time is 25 minutes. The sample standard deviation of flight time is minutes. (Type an integer or decimal rounded to one decimal place as needed.)

Factor out the GCF from the polynomial. 6y^7 + 2y^3

-1/12 x - 6 3/5 =

Complete the truth table. q r q ∧ r r ∧ (q ∧ r) -------------------------- T T T F O F T F F F F

Find the limit. lim as x approaches infinity of (x^2 - 9x + 9) / (x^3 + 3x^2 + 11)

Find the horizontal and vertical asymptotes of the curve. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) y=(3x^2+x-1)/(x^2+x-72)

g(x)=(x^2+x-20)/(x+3) Hole(s) VA x=-3 Zeros Y-int -5 EBA y=-5

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