# Alice

Popular questions and responses by Alice
1. ## physics

A gas at 250K and 15atm has a molar volume smaller than calculated from perfect gas law Calculate: a) the compression factor under these conditions b) the molar volume of gas

2. ## Trigonometry

Two ships leave a harbor entrance at the same time. The first ship is traveling at a constant 10 miles per hour, while the second is traveling at a constant 22 miles per hour. If the angle between their courses is 100°, how far apart are they after 2

3. ## Calculus

The graph of f ′(x), the derivative of x, is continuous for all x and consists of five line segments as shown below. Given f (0) = 6, find the absolute maximum value of f (x) over the interval [0, 3]. a) 0 b) 8 c) 10 d) 16

4. ## Calculus

Find the range of the function F(x)=integral from 0 to x of √(4-t^2) dt a) [0,4π] b) [0,π] c) [-4,0] d) [0,4]

5. ## physics

The sun radiates like a perfect blackbody with an emissivity of exactly 1. (a) Calculate the surface temperature(K) of the sun, given it is a sphere with a 7.00 multiplied by 108 m radius that radiates 3.80 multiplied by 1026 W into 3 K space. (b) How much

6. ## Calculus

The table below gives selected values for the function f(x). With 5 rectangles, using the left side of each rectangle to evaluate the height of each rectangle, estimate the value of the integral from 1 to 2 of f(x)dx. x 1 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8

7. ## Calculus(math)

A particle is moving on a straight line in such a way that its velocity v is given by v(t)=2t+1 for 0≤t≤5 where t is measured in seconds and v in meters per second. What is the total distance traveled (in meters) by the particle between times t=0

8. ## Calculus

A particle moves on the x-axis so that its position is continuous on the interval [3, 13] with some of its values for its velocity v(t) given in the table below. Use a right hand sum with 4 intervals to approximate the total distance the particle travelled

9. ## Calculus

The function is continuous on the interval [10, 20] with some of its values given in the table above. Estimate the average value of the function with a Trapezoidal Sum Approximation, using the intervals between those given points. x 10;12;15;19;20 f(x)

10. ## Math

Which of the following could be the last 2 digits of an integer that is a perfect square? What is your reasoning? 12 23 56 87 99

11. ## Calculus

Estimate the area under the curve f(x)=16-x^2 from x=0 to x=3 by using three inscribed (under the curve) rectangles. Answer to the nearest integer.

12. ## Calculus

Find the absolute value of the resulting error if the value of integral from 0 to 3 (x^3 dx) is estimated with 3 trapezoids of equal width. a) 2.25 b) 5.25 c) 15.75 d) 47.25

13. ## physics

The greatest ocean depths on earth are found in the Marianas Trench near the Philippines, where the depth of the bottom of the trench is about 11.0 km. Calculate the pressure(atm)due to the ocean at a depth of 10.1 km, assuming sea water density is

14. ## Finance

5. John and Daphne are saving for their daughter Ellen's college education. Ellen just turned 10 (t=0), and she will be entering college 8 years from now (at t=8). College tution and expenses at State U. are currently \$14,500 a year, but they are expected

15. ## physics

(a) How many kilograms of water must evaporate from a 60.0 kg woman to lower her body temperature by 0.750°C?

16. ## algebra

To balance a seesaw, the distance, in feet, a person is from the fulcrum is inversely proportional to the person's weight, in pounds. Peter, who weighs 150 pounds, is sitting 3 feet away from the fulcrum. If Joey weighs 90 pounds, how far from the fulcrum

17. ## Calculus

The density of people (number of people per mile) during the evening rush hour for the 5-mile stretch along a certain sidewalk in New York is given by f(x), where x is the distance in miles north of the subway station. Which of the following gives the

18. ## Calculus

Given the table below for selected values of f(x), use 6 left rectangles to estimate the value of integral from 1 to 10 f(x)dx x 1 3 4 6 7 9 10 f(x) 4 8 6 10 10 12 16 Numerical answers expected

19. ## Calculus

A ball is thrown upward with a speed of 40 feet per second from the edge of a cliff 500 feet above the ground. What is the speed of the ball when it hits the ground? Use acceleration due to gravity as –32 feet per second squared and approximate your

20. ## Calculus

If a factory continuously pumps pollutants into the air at the rate of √(t)/15 tons per day, then the amount dumped after 3 days is a)3.464 b)0.019 c)0.115 d)0.231 Note: I have integral from 0 to 3 of √(t)/15 dt but I guess something is wrong. Can you

21. ## Calculus

The differential equation dy/dx=(x+1)/(x-2) I. produces a slope field with horizontal tangents at x = −1 II. produces a slope field with vertical tangents at x = 2 III.produces a slope field with rows of parallel segments a) I and II only b) II only c)

22. ## Calculus

Water leaks from a tank at the rate of r(t) gallons per hour. The rate decreased as time passed, and values of the rate at two-hour time intervals are shown in the table below. The total amount of water that leaked out is evaluated by a Riemann sum. Find

23. ## Calculus

The differential equation dy/dx = x/y^2 Possible answers: I. will have a slope field with negative slopes in quadrant I II. will have a slope field with positive slopes in all quadrants III.will produce a slope field with columns of parallel tangents IV.

24. ## Math

Ty received test grades of 73%,82%,73%,77%, and 77%. a) what grade would he need to make on the sixth test to get a "C" if a "C" is at least 75% but less than 80%? b) Is it possible for Ty to get a B or better for his test average (at least 80%)? ANSWERS:

25. ## Science

At which position does the diver have the most gravitational potential energy? A.) 1 ( in diving board about to jump off, in a squatting position with hands above head) B.) 2 (In air, just after jumping off. Hands above head) C.) 3 ( About to head into the

26. ## mathematics

Glass Vase You are taking a glass-blowing class and have created a vase in the shape of a sphere. The vase will have a hole in the top so you can put ﬂowers in it and it will sit on a stand. The radius of your vase is 21/2 inches. Use the formula

27. ## Urgent math pls

The noise from a power mower was measured at 108 dB. The noise level at a rock concert was measured at 119 dB. Find the ratio of the intensity of the rock music to that of the power mower. (Round your answer to the nearest whole number.) I tried by 108-119

28. ## Geometry

For diagonals of square Abcd intersect at e . If ae =2x+6 and bd =6x-10 find ac

29. ## physics

The meter stick in the drawing can rotate about an axis located at the 20.0-cm mark. The axis is perpendicular to the screen. A force F acts at the left end; the force is perpendicular to the meter stick and has a magnitude of 175 N. A second force, either

30. ## Calculus

Which of the following integrals can be integrated using partial fractions using linear factors with real coefficients? a) integral 1/(x^4-1) dx b) integral (3x+1)/(x^2+6x+8) dx c) integral x^2/(x^2+4) d) None of these

31. ## Calculus

Find the area of the region bounded by the graphs of y = x2 − 4x and y = x − 4. a) - 4.500 b) 4.500 c) 2.333 d) None of these

32. ## math

A car travels 56km using 8litres of petrol. What distance will it travels with 13litres of petrol.

33. ## Maths

The scale on a map is 1:200 000. Work out the number of kilometres represented by 2.5 cm on the map. I've never done a question like this before. If you can help I would be really grateful.

34. ## Finance

Steve and Ed are cousins who were both born on the same day, and both both turned 25 today. Their grandfather began putting \$2,500 per year into a trust fund for Steve on his 20th birthday, and he just made a 6th payment into the fund. The grandfather (or

35. ## chemistry

a cubic piece of metal measures 5.00 cm on each edge. if the metal is nickel, whose density is 8.90g/cm cubed, what is the mass of the cube?

36. ## Calculus

The components of a position vector of a particle moving in the plane are components t cubed, 2 times the sine of t. What is the distance traveled by the particle from t = 1 to t = π? Type your answer in the space below and give 3 decimal places. If your

37. ## Calculus

Which of the following definite integrals could be used to calculate the total area bounded by the graph of y = sin(x), the x-axis, x = 0, and x = π a) ∫ from π to 0 sin(x)dx b) ∫ from π to 0 -sin(x)dx c) 2∫ from π to 0 sin(x)dx d) 1/2∫ from π

38. ## Calculus

Use two rectangles of equal width to estimate the area between the graph of f(x)=x+sin( πx) and the x-axis on the interval [4,8]. Evaluate the function at the mid-point of each rectangle to find each height. a) 20 b) 24 c) 26 d) 28 Thanks in advance

39. ## Calculus

Find the particular solution to y"=3sin(x) given the general solution y=-3sin(x) +Ax+B and the initial conditions y (π/2)=π and y'(π/2)=2

40. ## Calculus

Find the area of the region bounded by the functions f(x) = x^4 and g(x) = |x|. a) 1.3 b) 5.2 c) 0.6 d) None of these

41. ## Calculus

Suppose the height of an object fired straight up from the level ground is given by s(t)=300t-4.9t where s is measured in meters and t is measured in seconds. how fast is the object moving up as it leaves the ground after 2 seconds? find the average

42. ## Math

Mary has a third of the money Erin has. Erin has \$8 less than John. Together they have \$267. How much money does each of them have?

43. ## physics question

Why will dropping or heating a magnet weaken it?

44. ## Trig

Sin(X-y)sin(x+y)=sin^2 x - sin^2 y work on one side only...so i worked on the right =(sinx-siny)(sinx+siny) does that equal sin(x-y)sin(x+y)??? help!

45. ## Calculus

The last question please For what value of t is the slope of the curve undefined for the graph defined by x = 10 – t2, y = t3 – 12t? Type your answer in the space below to the nearest whole number. (ex: 4)

46. ## Calculus

The base of a solid is the circle x^2 + y^2 = 9. Cross sections of the solid perpendicular to the x-axis are equilateral triangles. What is the volume, in cubic units, of the solid? 36√3 36 18√3 18

47. ## Calculus

Determine if the Mean Value Theorem for Integrals applies to the function f(x) = √x on the interval [0, 4]. If so, find the x-coordinates of the point(s) guaranteed to exist by the theorem. a) No, the theorem does not apply b) Yes, x=16/9 c) Yes, x=1/4

48. ## Algebra

Find the average rate of change of f(x)=6x²−3 on the interval [2,a]. Your answer will be an expression involving a What I did so far: I found f(2) which is 21 and that would make the function (2,21) Then, I found f(a) which is 6a^2-3 and that would make

49. ## Math

working with a circle graph divided up into 1/3 woodwind, 1/6 percussion, and 1/2 brass. The marching band has three percussion musicians. How many musicians altogether are in the band? I think I have to add all of the fractions together and my answer is

50. ## chemistry

A moon rock collected by a U.S. Apollo mission is estimated to be 4.50 billion years old by uranium/lead dating. Assuming that the rock did not contain any lead when it was formed, what is the current mass of 206Pb per 1.150 g of 238U in the rock? The

51. ## physics

A granite column in a building is 8.50 m high and has a mass of 2.16 multiplied by 104 kg. (a) How much heat (J) is needed to increase its temperature by 10.5°C, given its specific heat is 0.200 kcal/kg·°C? (b) What is its change in length (m) if its

52. ## Geometry

The length of one base of a trapezoid is 19 inches and the length of the median is 16 inches. Find the length of the other base.

53. ## Chemistry

Write balanced equations for the formation of [Ni(NH3)6][BF4]2 starting from an anhydrous sample of nickel(II) choride hexahydrate. (3 equations necessary) I am slightly confused by this. I think the starting sample has the formula [Ni(H20)6]Cl2 Would this

54. ## chemistry

assuming that the calorimeter contains 5.00 * 100 g of water and that the initial temperature is 30.0 degree celcius. what will the final temperature be? (use the proper formula and units, and show your work below)

55. ## Math

determine whether the vectors u and v are parallel, orthogonal, or neither. u=(5,3) v=(-10/4, -3/2)

56. ## Calculus

Find the position vector of a particle whose acceleration vector is a = (6t, 2) with an initial velocity vector (0, 0) and initial position vector (3, 0) Please I need your help with explanation. Thank you

57. ## Calculus

An animal population is modeled by the function A(t) that satisfies the differential equation dA/dt= A/1125 all this multiplied by (450-A). What is the animal population when the population is increasing most rapidly? a) 45 animals b) 225 animals c) 40

58. ## Calculus

The components of a position vector of a particle moving in the plane are components t^3,2sin(t)). What is the distance traveled by the particle from t = 1 to t = π? Type your answer in the space below and give 3 decimal places. If your answer is less

59. ## Calculus

The base of a triangle is decreasing at the rate of 1 ft/sec, while the height is increasing at the rate of 2 ft/sec. At what rate is the area of the triangle changing when the base is 10 ft and the height is 70 ft? a) -25 ft^2/sec b) -45 ft^2/sec c) -50

60. ## Calculus

Which of the following must be true for the graph of the function f(x)= (x^2-25)/5x-25) There is: I. a removable discontinuity at x=5 II. a vertical asymptote at x=5 III. an infinite discontinuity at x=5 possibles answers: a) I only b) II only c) III only

61. ## Math

using a circle graph of 1/3 percussion, 2/5 brass, 4/15 woodwind and also a circle graph of 1/3 woodwind, 1/6 percussion, 1/2 brass. Both bands combine as one band. A. What fraction of the band members will play brass instruments? B. what fraction of band

62. ## math

a rectangle has a area 3 square feet and width 1/2 foot. What is the length of the rectangle? I think it is 3 times 1/2 equals 1 1/2 feet. Is this correct?

63. ## math

solve the equation 5coshx + 3sinhx = 4

64. ## physics

The density of liquid carbon dioxide is about 0.8 g/cm^3. What volume fraction inside the fire extinguisher (when it is full) is occupied by liquid CO2? The density of CO2 gas is negligible compared to the density of liquid CO2. Volume of fire extinguisher

65. ## Physics

A ray of light of vacuum wavelength 550 nm traveling in air enters a slab of transparent material. The incoming ray makes an angle of 34.3◦ with the normal, and the refracted ray makes an angle of 18.9◦ with the normal. Find the index of refraction of

66. ## Math

47 Fahrenheit = Celsius give answer in decimal form, to the nearest tenth?

67. ## Geometry

You are designing dinnerware. What is the length of a side of the smallest square plate on which a 20-cm chopstick can fit along a diagonal without any overhang?

68. ## math

body of mass 7 kg moves in a (counterclockwise) circular path of radius 4 meters, making one revolution every 13 seconds. You may assume the circle is in the xy-plane, and so you may ignore the third component. how do you find the centripetal force acting

69. ## Calculus

Which of the following statements is true for the series the summation from n=0 to infinity of (-1)^n and 5/4^n? a) The series diverges because it is geometric with r = 5/4 and a = –1. b) The series converges to 4 because it is geometric with r = -1/4

70. ## Calculus

Calculate the area under the graph of y = e^-x above the x-axis for the interval [1, ∞] a) 0 b) e^-1 ------> my answer. Can you check for me, please? c) -e^-1 d) infinity

71. ## Calculus

Find the magnitude of a particle's acceleration vector at t = 1 for a particle moving with position vector r(t)=(2t^2,4t^2-t^3) a) 4 b) 25 c) 5 d) 2√5

72. ## Calculus

If dy/dx= sin^2(πy/4) and y=1 when x = 0, then find the value of x when y = 3. a) 0 b) 8/π c) -π/8 d) None of these

73. ## Calculus

If dy/dx=cos^2(πy/4) and y=1 when x=0, then find the value of x when y=3 a) 1/8 b) -π/8 c) -8/π d) None of these

74. ## Calculus

Function f(x) is positive, decreasing and concave up on the closed interval [a, b]. The interval [a, b] is partitioned into 4 equal intervals and these are used to compute the left sum, right sum, and trapezoidal rule approximations for the value of

75. ## Calculus

The particular solution of the differential equation dy/dt= 2y for which y(0) = 60 is a) y= 60e^2t b) y= 60e^0.5t c) y= 59 + e^t d) y= 30e^t

76. ## Calculus

Determine if the Mean Value Theorem for Integrals applies to the function f(x)=2-x^2 on the interval [0,√2). If so, find the x-coordinates of the point(s) guaranteed by the theorem a) No, the Mean Value Theorem for Integrals does not apply b) Yes, x=4/3

77. ## Calculus

Find the distance, in meters, a particle travels in its first 10 seconds of travel, if it moves according to the velocity equation v(t)= 49 − 9.8t (in meters/sec) a) -49 b)0 c) 245 d) 441

78. ## Chemistry

Describe how a mixture of acetanilide and sand can be separated

79. ## Math

Frank bought supplies for school. In the first store, he spent half of his money plus \$10. In the second store, he spent half of what he had left, plus \$10. In the third store, he spent 80% of what he had left. He came home with \$5. How much did he start

80. ## Math

A lemonade machine with a cash price of \$4000.00 is purchased on an installment plan with a\$460.00 down payment and 13 monthly payments of 272.31. What is the amount financed

81. ## Math

A jar contains 5 blue marble, 8 red marbles, 4 white marbles,and purple marbles. Suppose you pick a marble at random without looking. Find the probability of each event. Choosing a blue marble, putting it back, then choosing a purple? (Simplest form)

82. ## math

Fishing hook G is let down 2 1/2 times its present depth. where is fishing hook G now? FISHING HOOK G = -6 2/3

1. What effect would the following actions have on a firm’s current ratio? Assume that new working capital is positive. a. A short term bank loan is repaid. b. A long-term debt is paid off early. For a, would the current ratio move away from 1. For b,

84. ## algebra

A certain population of bacteria doubles every 3 weeks. How long will it take for a population of 3,500 to triple?

85. ## Physics

Two forces are applied to a car in an effort to move it, F1 is 400N and F2 is 450N, F1 is 30 degrees in the upper right and F2 is 10 degrees in the upper left) (a) What is the resultant vector of these two forces? (b) If the car has a mass of 3 000 kg,

86. ## Calculus

Find the area between the graph of f(x)= x(e^-x^2) and the x-axis for the interval (0, ∞). Your work must include the proper notation and show the antiderivative. If the integral diverges, show why.

87. ## Calculus

Write the recurring decimal 0.abcabcabc… as a fraction. a) (a+b+c)/999 b) (100a+10b+c)/999 c) (abc)/999 --> I did this but my teacher said I was wrong d) (100c+10b+a)/999

88. ## Calculus

Find the sum of the infinite series whose sequence of partial sums, Sn, is S sub n equals= 10-1/(n+1) a) 10 b) 0 c) 9.99 d) Sum does not exist

89. ## Calculus

For what value of t is the slope of the curve undefined for the graph defined by x = 10 – t^2, y = t^3 – 12t? Type your answer in the space below to the nearest whole number. (ex: 4) NOTE: I asked before this question but I didn't get the answer. I

90. ## Calculus

Estimate the value of the integral from negative 2 to 4 of x^3dx by using the Trapezoidal Rule with n = 3. a) 252 b) 128 c) 63 d) 72

91. ## Calculus

Use Euler's Method with three equal step sizes to estimate the value of y(0.3) for the differential equation y ′ = y, with y(0) = 1. Type your answer in the space below and give 3 decimal places. If your answer is less than 1, place a leading "0" before

92. ## Calculus

The base of a solid is bounded by the curve y=√ x + 1, the x-axis and the line x = 1. The cross sections, taken perpendicular to the x-axis, are squares. Find the volume of the solid.

93. ## Calculus

Given f '(x) = (x − 4)(4 − 2x), find the x-coordinate for the relative maximum on the graph of f(x). a) 12 m/sec; 22 m/sec^2 b) 22 m/sec; 18 m/sec^2 c) 22 m/sec; 6 m/sec^2 d) 14 m/sec; 3 m/sec^2

94. ## Calculus

Find the velocity, v(t), for an object moving along the x-axis if the acceleration, a(t), is a(t) = cos(t) − sin(t) and v(0) = 3. a) v(t) = sin(t) + cos(t) +3 b) v(t) = sin(t) + cos(t) +2 c) v(t) = sin(t) - cos(t) +3 d) v(t) = sin(t) - cos(t) +4

95. ## Calculus

Use two rectangles of equal width to estimate the area between the graph of f(x) = x - cos(πx) and the x-axis on the interval [1, 5]. Evaluate the function at the mid-point of each rectangle to find each height. a) 8 b) 12 c) 16 d) 20 thank you in

96. ## Calculus

If f(x) is a continuous function defined for all real numbers, f(-1)=1, f(-5)=-10, and f(x)=0 for one and only one value of x, then which of the following could be that x value? a) -6 b) -5 c) -4 d) 0

97. ## Calculus

Which of the following is the best linear approximation for f(x)=cos(x) near x= π/2 ? a) y= x - π/2 b) y= -x + π/2 c) y= -x + π/2 + 1 d) y= x - π/2 +1

98. ## math

The sum of Lisa's age and Myra's age is 19. In 10 years, Lisa will be 5 years older than Myra. How old is each girl now?

99. ## math

Fishing hook E is dropped 2.5 times its present depth. where is fishing hook E now? NOTE: FISHING HOOK E is -7.1 is the answer -4.14 or -17.75

100. ## Spanish Linguistics

La distribución de los alomorfos de la raíz del verbo perder esta condicionada fonológicamente. ?En qué contexto fonológico ocurre cada uno de los alomorfos? Para responder...haga una lista de formas verbales, en dos columnas según el alomorfo que