# Gary

Popular questions and responses by Gary
1. ## Calculus

Let g be a function that is defined for all x, x ≠ 2, such that g(3) = 4 and the derivative of g is g′(x)=(x^2–16)/(x−2), with x ≠ 2. a.Find all values of x where the graph of g has a critical value. b.For each critical value, state whether the

2. ## Calculus

For which pair of functions f(x) and g(x) below will the lim f(x)/g(x)equal 0 x-infinity f(x) e^x; g(x) = x^3 f(x) x^5; g(x) = e^x f(x) x^3; g(x) = ln(x) f(x) x^negative 2; g(x) = e^negative x

3. ## Chemistry

The half-life for the process 238 U --> 206 Pb is 4.5*10^9 yr. A mineral sample contains 66.0 mg of 238 U and 16.0 mg of 206Pb. What is the age of the mineral?

4. ## Physics

A stone is dropped from the top of a cliff. The splash it makes when striking the water below is heard 3.5 s later. How high is the cliff

5. ## poetry (Pioneer by Dorothy Livesay)

I have to answer the questions according to this poem, I have answered them but just want someone to look over them to see if they are right. The last one I had trouble with and need help on that one too. The answer that I think it is I have put arrows on

6. ## Calculus

The local linear approximation of a function f will always be greater than or equal to the function's value if, for all x in an interval containing the point of tangency f '(x) < 0 f '(x) > 0 f "(x) < 0 f "(x) > 0

7. ## Chemistry

A 1.00 g sample of limestone is allowed to react with 100 cm^3 of 0.200 mol/dm^3 HCl. The excess acid required 24.8 cm^3 of 0.100 mol/dm^3 NaOH solution. Calculate the percentage of calcium carbonate in the limestone

8. ## math

The height of a cylinder with a fixed radius of 10 cm is increasing at the rate of 0.5 cm/min. Find the rate of change of the volume of the cylinder (with respect to time) when the height is 30cm.

9. ## Calculus

If f is a function such that [(f(b)-f(a))/(b-a)]=2 , then which of the following statements must be true? a.f(a) = f(b) = 2 b.The slope of the tangent line to the function at x = a is 2. c.The average rate of change of the function on the interval [a, b]

20. ## math

what is my number? Clue 1 My number is a multiple of 5,but it does not end in 5. Clue 2 The prime factorization of my number is a string of three numbers. Clue 3 Two of the numbers in the prime factorizations are the same. Clue 4 My number is greater than

21. ## Calculus

The balance in an account triples in 20 years. Assuming that interest is compounded continuously, what is the annual percentage rate? I found the equation: y=e^(xln3/20) assuming that y0=1 I got 5.64%, is that right?

22. ## Calculus

True or False If f is continuous at x = c, then f is differentiable at x = c.

23. ## finance

New project analysis You must evaluate a proposal to buy a new milling machine. The base price is $108,000, and shipping and installation costs would add another$12,500. The machine falls into the MACRS 3-year class, and it would be sold after 3 years for

24. ## Statistics

A production line operation is designed to fill cartons with laundry detergent to a mean weight of 32 ounces. A sample of cartons is periodically selected and weighed to determine whether underfilling or overfilling is occurring. If the sample data lead to

44. ## math

wesley estimated 5.82-4.21 to be about 2. Is this an overestimate or an underestimate

45. ## economics

18. (Shifts in the PPF) Terrorist attacks foster instability and may affect productivity over the short and long term. Do you think the September 11, 2001, terrorist attacks on the World Trade Center and the Pentagon affected short- or long term

46. ## Gen.Chem. 111

what happens when HCl is added to CoCl2*6H20? and what happens when you add AgNO3 to the product?

47. ## pre calculus

12. Use the remainder theorem to find P (-2) for P(x) =x^3+2x^2-x-7. Specifically, give the quotient and the remainder for the associated division and the value of P (-2). Quotient =? Remainder =? P (-2) =?

48. ## Managerial Finance

Jefferson Products, Inc., is considering purchasing a new automatic press break, which costs $300,000 including installation and shipping. The machine is expected to generate net cash inflows of$80,000 per year for 10 years. At the end of 10 years, the

49. ## math

a student who weighs 500 newtons climbed the stairs frim the first fkoor to the third floor 15 meters above in 20 second How much work did she do? what was her power? How do you write this question out HELP

50. ## math

Oregon is about 400 miles from west to east, and 300 miles from north to south. If a map of Oregon is 15 inches tall ( from north to south), about how wide is the map?

51. ## math

a mother wants to divide 680.00 among her children according to the ratio 2:4:6

52. ## Math

In a concert hall, 60% of the seats were taken. 520 seats were empty. What is the total number of seats in the concert hall?

53. ## Calculus

1) A rectangular page is to contain 16 square inches of print. The page has to have a 2-inch margin on top and at the bottom and a 2-inch margin on each side. Find the dimensions of the page that minimize the amount of paper used. 2) A rectangular garden

54. ## math

1. If x people working together make a total of y dollars after an hour of work. how much money will z people make if they work 4 hours at the same rate per person ? 2.Each of the n members of an organization may invite up to 3 guests to a conference. What

55. ## math

A. Mandy buy a sweater that is on sale for 20% less than the original price, and then she uses a coupon worth an additional 15% off of the sale price. What percentage of the original price has she saved ? B. If the price of a stock increases by 40% and

56. ## physical

Part A Each blade on a wind turbine is engineered to produce an effective force through its center of mass that is perpendicular to its long axis. (Part A figure) The magnitude of the force produced by each blade in a wind of speed v is F=(40.0~{\rm

57. ## math

1. List the terms in the expression below, place a comma between each term. 19cd + 6d^2 + 8 2. List the coefficients in the expression below, place a comma between each coefficient. -7y + 13ab^2 + x

58. ## Chemistry

4.80 dm^3 of chlorine gas was reacted with NaOH solution. a) how many moles of Cl2 reacted b) what mass of NaOCl was formed? c) if the concentration of the NaOH was 2.00 mol/dm^3. What volume of sodium hydroxide solution was required? d) write an ionic

59. ## Statistics

Suppose a random family of four is selected (two parents and two children). Suppose further that you are told one of the two children is a girl. Given that this family has at least one daughter, what is the conditional probability that it also has a son?

60. ## English

how do you write a telling sentence

61. ## Math

What is the area of the largest rectangle with lower base on the x-axis and upper vertices on the curve y equals= 12 minus x^2?

62. ## math

A box contains 300 colored paper clips. Tony pulled 25 paper clips out at random and found 6 pink, 4 white, 10 yellow, and 5 blue clips in the sample from the data. Tony predicts there are about 150 yellow paper clips in the entire box. Ia tony's

63. ## Math (Algebra 2)

Use long division to find the quotient and remainder when f(x)= 15 x^4 - 9 x^3 - 18 x^2 + 24 x + 18 is divided by g(x)= 3 x + 1

64. ## math

Mrs. Cindy needs to order new balls for the school students to use at recess. She asks the students what balls she should order. One-third of the students want Mrs. Cindy to order soccer balls. One-third of the students want Mrs. Cindy to order

65. ## politcal science

In Washington's Farewell Address, what type of policy did he advocate when dealing with foreign countries? Question 6 options: Complete isolation for all foreign countries Extensive treaties with other countries Expansion of US power over foreign countries

66. ## trig.

A 2000 pound car is parked on a street that make an angle of 12 degrees with the horizontal figure Find the force perpendicular to the street.

67. ## PHYSICAL SCIENCE

A ROCK WITH A WEIGHT OF 156.8 NEWTONS FALLS 5 METERS. WHAT POTENTIAL ENERGY DOES IT HAVE JUST BEFORE THE END OF ITS FALL.

68. ## math

write the fraction 9/100th as a percentage

69. ## math

Maya chatted online with all her friends for 2/3 of an hour on saturday and 1/4 of an hour on sunday.During that time period she chatted with Paul for 1/8 of an hour. What fraction of the time Maya spent chatting with her friends online was spent chatting

70. ## Math

If 1,200 cm^2 of material is available to make a box with a square base and an open top, find the maximum volume of the box in cubic centimeters. Answer to the nearest cubic centimeter.

71. ## Chemistry

How is 4FeS2 + 11O2 = 2Fe2O3 +8SO2 a single replacement reaction?

72. ## math

A. One board is one-third the length of another. Six times the sum of the length of the short board and -10 is equal to the length of the longer board decreased by 11 inches. Find the length of the longer board. B. The length of a rectangle is 4 feet more

73. ## math

estimate the difference of 5,602-2,344

74. ## us history

Who warned the colonists of the British advance toward Concord?

75. ## math

The "wapple" of a number is defined as the number of positive odd intergers less than that number. 1. what is the wapple of 19? 2.If the wapple of x is equal to 5, what is the wapple of x + 6?

76. ## economics

(Growth and the PPF) Use the production possibilities frontier (PPF) to demonstrate economic growth. a. With consumption goods on one axis and capital goods on the other, show how the combination of goods selected this period effects the PPF in the next

77. ## Math

In college algebra a student earns an average grade of 86 on his homework and 75 on his quizzes. What final examination grade will give him a total average of 80 if homework 1/10 , quizzes 3/5 and the final examination 3/10?

78. ## math trigonometry

At night, a security camera pans over a parking lot. The camera is on a post at point a which is 53m from point c and 71 m from point b.the distance from B to c is 68m. Calculate the angle through which the camera pans

79. ## math

A. In triangle, the second angle measures twice the first, and the third angle measures 5 more than the second. If the sum of the angles' measures is 180^0, find the measure of each angle. b. The price of a pack of gum today is 63 cent. This is 3 cent more

80. ## Math (venn diagram)

120 students were surveyed about their food preferences. 62 liked pizza,75 liked burgers and 48 liked tacos. 15 liked all three. 93 liked pizza or burgers, 96 liked burgers or tacos, and 88 liked pizza or tacos. a) construct a venn diagram that will

81. ## Math

How many 1/4 foot long pieces can I cut from a 5 feet long board

82. ## math trigonometry

At night, a security camera pans over a parking lot. The camera is on a post at point a which is 53m from point c and 71 m from point b.the distance from B to c is 68m. Calculate the angle through which the camera pans

83. ## Math

Eye radius of category 5 cyclones is 20Km. What is the probability that any randomly selected category 5 cyclone will cross the Qld coast such that the eye wall of the cyclone will pass over Cairns which is on a 3200Km section of Qld coast? Cyclones

84. ## physics

A VW Beetle goes from 0 to 59.0 mi/h with an acceleration of +2.35 m/s2. (a) How much time does it take for the Beetle to reach this speed? (b) A top-fuel dragster can go from 0 to 59.0 mi/h in 0.700 s. Find the acceleration (in m/s2) of the dragster.

85. ## Math

My seven year old was set this question and I was asked to solve. Help please. Here is the question: My number has 5 tens. The ones digit is less than the tens. What could the number be? My solution was 5 x 10 = 50. Then subtract 1 from the tens = 49 is

86. ## Calculus I

If x^2+y^2=25, find dy/dt when x=3 and dx/dt= -8.

87. ## Statistics !

Hi I have calculated some statistics using a spreadsheet program and I have to compare three slopes of regression and their significance level in an energy species hypothesis.. -2.11 level of significance is 5% -4.73 level of significance is 1% -4.13 level

88. ## Math

What is the value of house acquired in 2000 that valued at \$140,000 in 2019 with an average annual appreciation rate of 1.6%

89. ## geometry

what would tan be for -1^(9)to the nearest degree? and what would sin -1^(0.62) be to the nearest degree?

(hey i asked for help with accounting with a question i saw the same question at this site but when i click it it doesnt work is there anyway you can check it for me then what they posted there you can copy and post it here for me).my question was Tracy

91. ## Algebra 2 -math

WHAT CATASTROPHE MAKES YOUR KITTEN HAPPY?

92. ## English3

In “The Turtle” from The Grapes of Wrath, how does the stem of the wild oat seeds use the turtle to carry it to a place where it can grow?

93. ## math

Would the answer be 2000 to this? with 1,200 i got 4,000? If 600cm^2 of material is available to make a box with a square base and a closed top, find the maximum volume of the box in cubic centimeters.

94. ## algebra

An artifact was found and tested for its carbon-14 content. If 75% of the original carbon-14 was still present, what is its probable age (to the nearest 100 years)? (Carbon-14 has a half-life of 5,730 years.) thank you

95. ## science

a 49 newton rock is lifted in 5 seconds A. how much work is done? B.what power is used? How do you write this question out

96. ## finance

Would each of the following increase, decrease, or have an in determinant effect on a firm’s breakeven point (unit sales)? a. An increase in the sales price with no change in unit costs. b. An increase in fixed costs accompanied by a decrease in variable

97. ## math

The base of the lamp of a triangular prism with an equilateral triangle base . The surface of the stand is to be painted.what is the area that will be painted?Give the answer to the nearest whole number.

98. ## math

a spinner has four equal parts marked 1-4, another spinner has 3 equal parts colored red, blue and yellow. What are all the possibe outcomes?

99. ## physics

A ball is thrown vertically upward, which is the positive direction. A little later it returns to its point of release. The ball is in the air for a total time of 7.84 s. What is its initial velocity? Neglect air resistance.