How to sketch graph of
9,920 results, page 26

algebra 1
sketch, label and mark each figure. 1.Isoscles obtuse triangle TRI with vertex angle T. 2.Rhombus RHOM with acute <H and the shorter diagonal. 3.Scalene right triangle SCA with midpoints L,M and N on SC, CA, and SA, respecitively. 4.Trapeoziod TRAP with TR A[, RE PA and P... 
geometry
sketch label and mark each figure 1.Isoscles obtuse triangle TRI with vertex angle T. 2.Rhombus RHOM with acute <H and the shorter diagonal. 3.Scalene right triangle SCA with midpoints L,M and N on SC, CA, and SA, respecitively. 4.Trapeoziod TRAP with TR A[, RE PA and P,E... 
Physics
An object, O, is placed 18 cm from the center of a converging lens of focal length, f= 6 cm as shown. O F F (a) On the illustration, sketch a ray diagram to locate the image. (b) Is the image real or virtual? Explain your answer. (c) Using the lens equations, compute the image... 
statistics
Assume that the readings on the thermometers are normally distributed with a mean of 0 degrees and standard deviation of 1.00 degrees C. A thermometer is randomly selected and tested. Draw a sketch and find the temperature reading corresponding to p subscript 99, the ... 
calc
let f be function given by f(x)= Ln(x)/x for all x> 0. the dervative of f is given by f'(x)= (1  Ln(x))/x squared. a) write equation for the line tangent to the graph of f at x=e squared b) Find the xcoordinate of the critical point of f. Determine wheter this point is a ... 
Algebra
Owners of a recreation area are filling a small pond with water. They are adding water at a rate of 25 liters per minute. There are 700 liters in the pond to start. Let W represent the amount of water in the pond (in liters), and let T represent the number of minutes that ... 
math
The height of a soccer ball that is kicked from the ground can be approximated by the function y=16x^2 +32x where y is the height of the soccer ball on feet x seconds after it is kicked. Graph this function. find the soccer balls maximum height, and the time it takes the ... 
Chemistry
How do you do the inverse of absolute temperature? My kelvin temperatures are: 298 308 318 328 338 348 358 368 378 Taking the natural log of both sides of both sides of the equation gives ln(k) = ln(A) – E/RT. Thus, a graph of the natural log of the reaction rate constant ... 
algebra
How do you solve this math problem? h= 8t^2+40t then it says: when t=0 and when t= 5 there are 2 questions that i have to answer: 1.) find the value of h 2.) graph this equation  i don't know if i did the problem right but when i answered #1 i got h=0,  and when i answered... 
computers
Derive what you believe is the underlying structure of either iTunes or the Walden University Library database. Sketch the result as an ER diagram. Alternate: Identify at least three difficulties that a DBMS overcomes for the business enterprise. Name two additional problems ... 
PHYSICS
A train starts from rest and accelerates uniformly, until it has traveled 3 km and acquired a velocity of 20 m/s The train then moves at a constant velocity of 20 for 400 s. The train then slows down uniformly at 0.065 m/s2 until it is brought to a halt. Calculate the total ... 
exponential and logarithmic graphs question
hi, i desperately need help solving this question: Find the values of A and k if the general equation of the graph shown is y=Ae^kx where the graph goes through the points (1,4) and (2,10) do i solve it using simultaneous equations? because i have attempted this yet failed... 
math math
Translate to an equation: p $25 potted plants and s $20 shrubs total $300 Graph the equation and use the graph to determine three different combinations of potted plants and shrubs that total $300 
algebra help please
Business and finance. The cost of producing a number of items x is given by C = mx + b, in which b is the fixed cost and m is the variable cost (the cost of producing one more item). (a) If the fixed cost is $40 and the variable cost is $10, write the cost equation. would the ... 
Equations and Graphing
Owners of a recreation area are filling a small pond with water. They are adding water at a rate of 25 liters per minute. There are 700 liters in the pond to start. Let W represent the amount of water in the pond (in liters), and let T represent the number of minutes that ... 
algebra
Cost of Tuition In 2000, the average cost of tuition and fees at private fouryear colleges was $16,200, and in 2005 it was $20,100. Sketch a line that passes through the points (2000, 16200) and (2005, 20100). 
*repost*  Grade 11 math
Word problem: Wes saw fireworks at 28 degrees; Abby (who was standing 20 m away from him) saw the same fireworks at a 40 degree angle. Where was Abby standing? (The answer is 61.8m, but I don't know how to figure it out or sketch the triangle). 
physics
Given the vectors = (19 cm, 7 cm) in green and = (23 cm, 9 cm) in blue shown on the grid below, calculate the magnitude of the vectors described below and select the correct sketch for each from the choices below. The tailtohead method is used to represent the operations ... 
Math graphs,dot,ven
I did a bar graph I think it is easier than dot and ven diagram. Am I correct because ven diagram there are no similarities and dot is to long.the problem asks as follows. Display the data using a dot plot,bar graph or vennot diagram.decide which data displays best for ... 
math
sketch the feasible region for this system of the inqualities and find the coordinates of each vertex:y greater than or equal to 1;x less than or equal to 2; 1x+2y less than or equal to 6;1x+2y greater than or equal to 2 
Math
A room measures 3 m by 5 m. A scale drawing is to be made, using a scale of 1 cm=0.5. Find the dimensions of the scale drawing and provide sketch of this room drawn to scale. 
Precalc
Identify the graph of the equation. What is the angle of rotation for the equation? y^2+8x=0 is parabola 90 degrees correct? also Identify the graph of the equation. What is the angle of rotation for the equation? xy = 5 =hyperbola 45 degrees 
Algebra
Use the above graph of f(x) to complete the following table for values of its inverse function, f^{1}(x). The graph has a point on (2,2)the yintercept is 4 the x intercept is 3 x =4, 8, 0, 2, 2 f^{1}(x) Note: You can earn partial credit on this problem... 
math
On graph paper draw a ray from the origin through the point (10,10) then draw a ray from the origin through the point (10,10). Use a protactor to measure the angle formed by the two rays and write the measure on the graph paper What is the measure =? 
math
On graph paper draw a ray from the origin through the point (10,10) then draw a ray from the origin through the point (10,10). Use a protactor to measure the angle formed by the two rays and write the measure on the graph paper What is the measure =? 
math
The circle graph represents a familys monthly budget. If the monthly budget was 5,000, how much does the family spend on items other than food and housing? The graph has 50% other and 20% food and 30% housing. A.1,000 B.1,500 C.3,500 D.2,500* 
word problems in algebra
The cost of producing a number of items x is given by C = mx + b, in which b is the fixed cost and m is the variable cost (the cost of producing one more item). (a) If the fixed cost is $40 and the variable cost is $10, write the cost equation. (b) Graph the cost equation. c) ... 
algebra
A) Find and interpret the Cintercept for the line (0, 30.52) C(0) = 2.85n + 30.52 – 30.52 = C(0) 30.52 C(0) = 30.52… Cintercept is at $30.52 billion  1990 B) Find and interpret the nintercept for the line (10.71) C= 2.85n + 30.52 = 0 = 2.85n + 30.52… N = 30.52/2.... 
geometry.
sketch, label and mark each figure. 1.Isoscles obtuse triangle TRI with vertex angle T. 2.Rhombus RHOM with acute <H and the shorter diagonal. 3.Scalene right triangle SCA with midpoints L,M and N on SC, CA, and SA, respecitively. 4.Trapeoziod TRAP with TR A[, RE PA and P... 
math
Your friend runs up to you, scared that he is not ready for the upcoming quadratics test. To help him study, you will create four different quadratic functions. Then demonstrate to him how to rewrite each function as a group of factors, if possible. The function f(x) is a ... 
Algebra I get 1 out of two parts
Owners of a recreation area are filling a small pond with water. They are adding water at a rate of 25 liters per minute. There are 700 liters in the pond to start. Let W represent the amount of water in the pond (in liters), and let T represent the number of minutes that ... 
math, correction
the equation is and directions are: graph xy=2 so then the equation would really be: y=x+2 and from here i would do the table to plot the points. Close. y=x+2, not x+2. Then, yes, plot the points. so your saying that the equation that i have to graph would be: y= x+2 not y... 
chemistry
this is what my lab report looks like (minus the graph of the first part) im stuck on part II I. A. unknown 1 melting point range (uncorr) 50.053.0 melting point range (corr) 50.253.2 (because of graph from part 1 of experiment) melting point average 51.7 b unknown 2 melting... 
Algebra 208
Cost of Tuition In 2000, the average cost of tuition and fees at private fouryear colleges was $16,200, and in 2005 it was $20,100. Sketch a line that passes through the points (2000, 16200) and (2005, 20100). 
math
How do I draw this out I am confused? The bridge forms parabolic arch. The span of the arch is 60 m and its center is 10 m above either end. (1) draw sketch of arch, include x and y acts where the vertex is at the origin. Is 10 m the axis of symmetry? What does it mean by span... 
math
How do I draw this out I am confused? The bridge forms parabolic arch. The span of the arch is 60 m and its center is 10 m above either end. (1) draw sketch of arch, include x and y axes where the vertex is at the origin. Is 10 m the axis of symmetry? What does it mean by span... 
Physics
From my homework, I have to to find the area of circle. One of my tasks is to trace a cylinder end down and then on graph paper trace the end of each. I did already that, but now I am having troulb converting the number of squares to square centimeters. Here are my numbers of ... 
SS Help, FAST!!!!!
What does this graph suggest about the costs and benefits of balancing the budget? (Graph: Only with spending cuts: 20% Mostly with spending cuts: 30% Equally with spending cuts and higher taxes: 32% Mostly with higher taxes: 7% Only with higher taxes: 3%) The Percentages ... 
algebra
Annual profit in thousands of dollars is given by the function,p(x)=200square x3 +10,000,where x is the number of items sold in thousands, x less than 3. describe the meaning of the numbers 3 and 10,000 in the formula. find the profit for 5 different values of x. graph the ... 
Math
Sometimes scale drawings are shown on graph paper. Each square on this graph paper is 1/4 inch. Use the scale drawing of the living room to answer each question. There are 1,296 in.2 in one square yard. Use a proportion to find out how many square yards of carpet it would take... 
Physics
Thomas the train and Diesel are involved in an elastic collision. A 2.5 kg Thomas is, at rest but is approached headon by a 5.0 kg Diesel moving at 0.60 m/s. The forceseparation graph for the ensuing collision is given. (12 marks) What is the total kinetic energy before the ... 
ALGEBRA HELP OR I AM GONNA FAIL I CANT DO THIS
compare two cell phone companies offers to see which is the better deal. Horizon Cell Phone Company Vertigo Cell Phone Company Base rate=$40 Plus every minute costs $0.05 vertigo company Base rate=$30 Plus every minute costs $0.07 Step 1: Write a linear equation of the form y1... 
math
Determine whether it is possible to draw a triangle given each set of information. Sketch all possible triangles where appropriate. Calculate then label all side lengths to the nearest tenth of a centimetre and all angles to the nearest degree. A) b= 3.0 cm, c=5.5 cm and angle... 
Math
Determine whether it is possible to draw a triangle given each set of information. Sketch all possible triangles where appropriate. Calculate then label all side lengths to the nearest tenth of a centimetre and all angles to the nearest degree. A) b= 3.0 cm, c=5.5 cm and angle... 
Question
@Alex asked this question when I was on earlier: Let line l_1 be the graph of 5x + 8y = 9. Line l_2 is perpendicular to line l_1 and passes through the point (10,10). If line l_2 is the graph of the equation y=mx +b, then find m+b. I'm wondering like how everyone did it and ... 
Math
Consider ∠C such that sin C = 7/25 a) What are the possible quadrants in which ∠C may lie? b) If you know that cos C is negative, how does your answer to part a) change? c) Sketch a diagram to represent ∠C in standard position, given that the condition in part b) is true... 
area model
Sketch an area model 74 time 92 
Math
The bar graph shows the cumulative number of death form AIDS in the US, from 1990 through each of the years 19962002. The data in the graph can be modeled by the following polynomials, in which f(x) and g(x) represent the cumulative number of AIDS deaths x years after 1990 F(... 
math
Is this correct. Graph each of the following inequalities. 4x + y (greater than or equal to) 4 My answer: y= 4x + 4 Y= mx + b For b = (0,4) For x = (4 , 0) The line will be a straight line across the positive codent to the negative crodant In the first case, you have the ... 
math
You and your friend are saving for college. You have $50 and are added $10 each week to your savings. Your friend has $20 and he is adding $20 each week to his savings. a. what system of equations would be a good model for this situation? Let x be number of weeks and y be the ... 
Physics
Need someone to check my work and answers: At the instant the traffic light turns green, a car that has been waiting at an intersection starts ahead with a constant acceleration of 2.80 m/s2. At the same instant a truck, traveling with a constant speed of 20.0 m/s, overtakes ... 
phyics
Consulting the graph shown in (Figure 1) , determine the object's average velocity over the time interval from 2 to 4 seconds. Express your answer in meters per second to the nearest integer. Position versus time graph for an object traveling with a nonconstant velocity. The ... 
math,help
i need help with this one i've tried it many ways and still can't figure it out because it has the lines going between two solid lines. find the xintercepts. y = x^2 +5x+2 x intercepts is when y is zero. 0=x^2 +5x+2 using formula 5/2 + 1/2 sqrt (258) that is the answer. I ... 
calculus please help asap
true or false questions: a)The derivatives of the reciprocal trigonometric functions can be found using the chain rule and their related base functions. b) A sinusoidal function can be differentiated only if the independent variable is measured in radians. c) There are an ... 
Precalculus
Let a and b be real numbers. Describe the graph of r = a(cos(theta)+b) as much as possible. (The intent of this question is to get as specific a description as possible that holds for all possible values of a and b. For example, if the question was to describe the graph of x^2... 
Marketing
I am creating my own company (clothing store) and have to create a circle graph and frequency table, and explain how they can help my company. I don't know what to put in them. I know a circle graph is often choosen to compare things like the cost of different aspects of ... 
Algebra question HELP!
Beatriz is creating graphs for her city’s Parks Department. Beatriz is trying to persuade the Parks Department to put in more gazebos for shade. For a local park, Beatriz wants to demonstrate the attendance as it changes every week. She also wants to show the temperature ... 
Algebra 1
Describe how the graphs of y = absolute value of x,and y = absolute value of X 15 are related. 1 Them graphs have the same shape. The y intercept of y = absolute x is 0, and them x intercept of the 2nd graph is 15. 2m The graphs have the same y intercept. The second graph ... 
Math (Secant Lines)
Consider the function f(x)=sqrt(x) and the point P(4,2) on the graph of f? Consider the graph f with secant lines passing through p(4,2) and Q(x,f(x)) for xvalues 1, 3, and 5. Find the slope of each secant line Use the results to estimate the slope of the tangent line to ... 
maths exponential functions
Hi I have a Maths quiz on Monday and i have been of sick for the past week. I received these review questions from my teacher via email and he isn't replying to my questions i really do not get these questions if someone can do these and explain to me how they did them it ... 
College Physics
Now we also know that the charge on a pair of parallel plates is proportional to the potential difference V, namely q=CV. We also know that the capacitance of two parallel plates is given by C=ε0A/d, where ε0=8.85×1012 is the permittivity of free space and d is the... 
Algebra 2
Can someone check my answers? 1. Convert 13pi/30 to degree measure. 78° 2. Find the distance between (4,4) and (8,7). 5 3. What is the vertex of the parabola y = (x + 8)^2  2? (8,2) 4. The graph of y = 6(x  8)^2 + 1 open downward. False. 5. An angle that measures pi ... 
MicroEcon
Graph below represents the market demand for a patented prescription drug together with the marginal cost and average cost functions for producing the drug. MC is constant at $20 for all Quantity over 4 million AFC is reduced essentially to 0 when Quantity reaches 5 million... 
math please help
Determine whether it is possible to draw a triangle given each set of information. Sketch all possible triangles where appropriate. Calculate then label all side lengths to the nearest tenth of a centimetre and all angles to the nearest degree. A) b= 3.0 cm, c=5.5 cm and angle... 
algebra
The office manager of a small office ordered 120 packs of printer paper. Based on average daily use, she knows that the paper will last about 40 days. What graph represents this situation? How many packs of printer paper should the manager expect to have after 10 days? Not ... 
Calculus
Sketch the region enclosed by the given curves.? Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=3(x^(1/2)) , y=4, and 2y+3x=6 I have been working on this problem for the past 3 hours with a friend and we have just hit a brick wall. We ... 
thermodynamics
0.5 kg of saturated vapor is contained in a closed system with pressure of 10 bar is cooled at constant volume until pressure decreases to 5 bar. Determine heat transfer and sketch the process in a Pv and Tv diagram answer = 473.35 kJ(heat is transferred from system to ... 
physics
A loudspeaker has a movable diaphragm (cone) that vibrates back and forth in harmonic motion to produce sound. The displacement of the cone playing a sinusoidal test tone is shown above. Find the following values from the graph. (NOTE: t = 0.03 sec, and the vertical axis of ... 
Physics : Please Help Me!!!
In a velocity vs. time graph, the graph illustrates a triangle shape. A. why might a smart student say the object reverses direction? B. why might a smart student say the object doesn't reverse direction? C. Does the object reverse direction? Explain why. 
Math
I need help in algebra 1. I have 4 questions, I already answered 3 of them, but I need help with the other Andrew measures the amount of a very unstable substance to be 100 moles. The halflife of this substance is 3 days (after 3 days, half is gone). 1. Write an exponential ... 
college strength of material
i have initial and final gauge length and diameter and also have max load. Now i have to draw stress strain diagram. I know how to draw that graph but i a not provided with failure load or yield load so i am not sure how to graph. We had performed experiment and data was given... 
Calculus Help Please!!!
Consider the function f(x)= x −1≤ x< 0 f(x)=tan(x) 0≤ x ≤ π/4 a. Draw a neat sketch of this function. b. Is f(x) continuous at x = 0? (Justify your answer.) c. Is f(x) differentiable at x = 0? (Justify your answer.) show steps! Thanks! 
math
**Problem 3: Create a linear function (y=mx+b) and graph the line for the following set of data. x  y 2  1 4  2 6  3 First, use the slope formula to find slope: (y2y1)/(x2x1) Then, put the slope (m), a 'y' point, and matching 'x' point into the formula y=mx+b. Solve for... 
calculus
1. Which of the following expressions is the definition of the derivative of f(x) = cos(x) at the point (2, cos(2))? 2. Find the derivative of f(x) = x + 2 at the point (1, 3) 3. Find f '(x) for f(x) = 2x3 + 3x2  x + 15. 4. Find all values of x on the graph of f(x) = 2x3... 
Biology
As a nurse in a hospital, your observe that certain kinds of pain may be allievated by mere offering of a drug, potent or not. To test this hypothesis, two pain drugs and placebo randomly adminstered to patients following surgery. Time is recorded in hours until patient ... 
math
Jim draws a sketch of his bedroom wall to scale. The actual wall is 10 feet long and 8 feet high. The drawing is one sixth the length and width of the actual wall. What are the dimensions of the drawing in inches? 
Physics
create a problem that could be represented/answered by the following equation. Include a sketch. Be sure to ask a question. 2kg * a = kg * 10N/kg * sin30  0.3 2kg * 10N/kg * cos30 so far I got that the object has a 20N downward force and a pull 30 degrees from the horizontal... 
English 11
Type a short character sketch of a fictional Puritan named Justice Johnson based on what you have learned about the Puritans. Make certain that you describe how he dresses, how he lives, what he believes, how he spends his timein short, describe him so that a stranger, who ... 
MATH
1.Isoscles obtuse triangle TRI with vertex angle T. 2.Rhombus RHOM with acute <H and the shorter diagonal. 3.Scalene right triangle SCA with midpointsL<M and N on SC, CA, and SA, respecitively. 4.Trapeoziod TRAP with TR A[, RE PA and P,E and A collinear 5.KIte KITE ... 
Literature
Type a short character sketch of a fictional Puritan named Justice Johnson based on what you have learned about the Puritans. Make certain that you describe how he dresses, how he lives, what he believes, how he spends his timein short, describe him so that a stranger, who ... 
english
Type a short character sketch of a fictional Puritan named Justice Johnson based on what you have learned about the Puritans. Make certain that you describe how he dresses, how he lives, what he believes, how he spends his timein short, describe him so that a stranger, who ... 
writing
Type a short character sketch of a fictional Puritan named Justice Johnson based on what you have learned about the Puritans. Make certain that you describe how he dresses, how he lives, what he believes, how he spends his timein short, describe him so that a stranger, who ... 
physics
a car travelling at constant velocity passes a stationary motorcycle at a traffic light as the car overtakes the motorcycle,the motorcycle accelerates uniformly from rest for 10 sec the following displacement time graph represents the motion of both vehicles from the traffic ... 
algebra help
The line graph below shows the number of stray dogs in a certain city for the years listed the bar graph shows the years in 1998 5 stray dogs 1999 2 stray dogs 2000 6 stray dogs 2002 8 stray dogs 2003 9 stray dogs Between which two years did the greatest decrease in stray dogs... 
Economics
I am on the chapter for International Trade in the book. I neew to calculate the producer surplus after a trade and I am not sure if I am doing it right. Graph: Price of Pencil Sharpeners $16__________________________World Price >>>>>>>>>>>>... 
Algebra
1. How many real solutions does the function shown on the graph have? The graph is following the function: y=(x+2)^2 A. No real solutions B. One real solution** My answer C. Two real solutions D. Cannot be determined 2. What is the solution to 3x^2+3x+5=0? I have the answers ... 
science
Gallium crystallizes in a simple cubic lattice. Sketch the unit cell. Determine the number of atoms present in the unit cell. The density of gallium is 5.904g/cm^3. Determine a value for the atomic (metallic) radius of gallium. 
Math
2x(x+3) = 0 Is there a way to solve that using the below methods? Substitute zero for f(x) and find the roots of the resulting equation, or graph the function and determine the xintercepts of the graph. Finding the roots of a single variable equation may involve factoring. ... 
phyics
Consulting the graph shown in (Figure 1) , determine the object's average velocity over the time interval from 2 to 4 seconds. Express your answer in meters per second to the nearest integer. Position versus time graph for an object traveling with a nonconstant velocity. The ... 
statistics
1. Which of the following statements are correct? a. A normal distribution is any distribution that is not unusual. (True/False) b. The graph of a normal distribution is bellshaped. (True/False) c. If a population has a normal distribution, the mean and the median are not ... 
maths
luke rode his bicycle 2/5 of a mile from his house to the library. He then rode 1/2 of a mile from the library to the mall. Sketch a visual model to find the total distance that luke rode 
Math
Luke rode his bicycle 2/5 of a mile from his house to the library.He then rode 1/2 of a mile from the library to the mall.Sketch a visual model to find the total distance that Luke rode. 
algebra
Write an equation in slopeintercept form for each described line. 1.The line passes through (3,3)and is parallel to the graph. 2.The line passes through (2,4) and is parallel to the graph of y=2x5. 3.The line passes through the orgin with slope 2  3 
MATH
Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2 and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, ... 
math
hey guys thanks for ur help a lot...i have one more conecting to the bus one....how are 2 3/4 hours and the distance traveled in 2 3/4 hours represented in the table? how are they shown on the graph? I think I answered this down below somewhere. Put the distance on the ... 
Math
For each function, i) determine the corresponding reciprocal function, y =1/f(x) ii) state the nonpermissible values of x and the equation(s) of the vertical asymptote(s) of the reciprocal function iii) determine the xintercepts and the yintercept of the reciprocal function... 
College Algebra
These are the points on the graph! O year = $41000 1 year = $43000 2 year = $46000 3 year = $48500 The following graph shows Bob’s salary from the year 2002 to the year 2005. He was hired in the year 2002; therefore t = 0 represents the year 2002. List the coordinates of any... 
Math
The diameter of a car's tire is 52 cm. While the car is being driven, the tire picks up a nail. How high above the ground will the nail be after the car has travelled 0.1 km? It also asked me to graph this information. So I created a periodic graph that starts at 0 and then ... 
Calculus
1. a) For the Function and point below , Find f’(a). b) Determine the equation of the line tangent to the graph of f at (a,f(a)) for the given value of f(x) = 4x2+2x, a =1 F’(a) = y = 2. For the function find f’ using the definition f’(x) = lim(h→0) Determine the... 
Calculus
1. a) For the Function and point below , Find f’(a). b) Determine the equation of the line tangent to the graph of f at (a,f(a)) for the given value of f(x) = 4x2+2x, a =1 F’(a) = y = 2. For the function find f’ using the definition f’(x) = lim(h→0) Determine the...