# Pre- Calculus

21,894 results, page 59
1. ## pre cal

Given sin(α)=4/5 and 0<α<π/2, find the exact value of sin(α/2).
2. ## creative play

Teachers who adjust the physical environment for children with disabilities need to: A. be knowledgeable about the disability. B. emphasize a child's disability. C. adapt only indoor equipment and materials. D. purchase expensive pre-made materials and
3. ## pre cal

A movie theater seats 400 people. For any particular show, the amount of money the theater makes is a function m(n) of the number of people, n, in attendance. If a ticket costs 2 dollars, find the domain and range of this function
4. ## pre calc

Solve: (x+5/x)+(6/x-4)=(-7/x^2-4x) I multiplied the entire function by x and x-4 and after doing that I got down to the quadratic equation x^2+7x-13=0 I did the quadratic and got x=1.525 and -8.525 I feel like I made a mistake because when I plug in both
5. ## Chemistry Pre-AP

What volume of oxygen gas can be collected at 0.565 atm pressure and 48.0◦C when 42.9g of KClO3 decompose by heating, according to the following equation? 2 KClO3(s) ∆−−−−→2KCl(s) + 3O2(g) MnO2
6. ## Pre Cal

An open box is formed from an 80cm by 80cm peice of metal by cutting four identical squares from the corners and folding up the sides. Express the volume of the box in terms of x. Then describe how you could find the maximum possible volume.
7. ## Pre-Calc.

You want to make an investment in a continuously compounding account over a period of 20 years. What interest rate is required for your investment to double in that time period? Round the logarithm value to the nearest hundredth and the answer to the
8. ## Pre-Calc/Trig

A body was found at 6 a.m. outdoors on a day when the temperature was 50oF. The medical examiner found the temperature of the body to be 66oF. What was the approximate time of death? Use Newton's law of cooling, with k = 0.1947. A. Midnight (12 a.m.) B. 5
9. ## calculus

a security camera in a bank is mounted on the wall 6.2 ft above the level of the counter and 9.4ft behind the front edge of the counter. What is the angle of depression of the camera if it is to be aimed 2 ft beyond the front edge of the counter. i
10. ## Geometry

A pre-image segment with endpoints (3,-2) and (4,2) is dilated to the image segment with endpoints (9,-6) and (12,6). What is the scale factor for the dilation?
11. ## pre algebra

Triangle XYZ has vertices X(- 1, 1), Y(- 3, 1), and Z( -2, 5). Reflect triangle XYZ in the y-axis. Find the vertices of the image
12. ## pre algebra

a used laptop computer sells for \$696. that is a 40% reduction from the original price. what was the original price of the computer?
13. ## pre-algebra

Terry has 43 dollars in a checking account.If terry writes a check for 62 dollars what is the new checking balance?
14. ## Pre-Algebra

Jenny buys an 18'sandwich. Demi gets 1/2 the amount the Jenny gets. Joel gets 3/4 the amount Jenny gets. How much does Jenny get? Please explain.
15. ## Math

you have exactly \$50.00 to spend on taxable groceries. they charge 4.3% sales tax on food. What is the most you can spend on food, pre-tax?
16. ## pre-algebra

Use algebra tiles to find the difference. Let one white tile equal +1 and one black tile equal –1.
17. ## Pre algebra

The scale on a map indicates that 1 inch represents 10 miles. If two cities are 2 3/4 inches apart on a map, how many miles apart are the two cities?
18. ## Pre-Cal

verify the identity sin x(1 - 2 cos^2 x + cos^4 x) = sin^5 x 1-2cos^2 x looks like 2cos^2x-1 its just backwards. I am not sure where to start.
19. ## Pre-Cal

log base2 5 square root of 512 use the definition of b^1/n log base2 512^1/5 Not quite sure what to do after this Simplfiy.
20. ## pre. cal.

Find the least integral upper bound of the zeros of the function f(x) = x^3 - x^2 + 1? I got... The least upper bound of the zeros of f(x) is -0.7549
21. ## Pre-Alegebra

IF the scale model of an 82 inch long table is 10.25 inches long, what is the scale used to create the model?
22. ## math

Baseball Nick throws a baseball upward with an initial velocity of 60 feet per second. What is the maximum height of the ball after Nick releases the ball? Formula for the problem - h(t)=v0t-16t^2, h(t)= the height of an object in feet, v0=an object's

1. Career Fairs allow job-seekers to contact several prospective employers in a short time. (T/F) 2. It is illegal for businesses to screen applicants for skills and abilities in pre-employment tests. (T/F) 3. You would study business and economics trends
24. ## Pre Calc

the units digit of a 2 digit number is 4 less than the tens digit. the number it names is 3 less than 9 times the sum of the digits what is the number?
25. ## Calculus (final question I promise)

1. Use calculus and algebraic methods to do a complete analysis (i.e., intercepts, critical points, intervals of increase and decrease, points of inflection, intervals of concavity, local maximum or minimum points) for each of the following functions and
26. ## pre-cal

The sq root of -4 (3-sq root of -9) a)6 +6i b)-6+6i c)6-6i d)-6-6i Again the i's are in italics. I would think that c and d could be eliminated because the answer is suppose to be in the form a + bi but they could be trting to trick you. I'm not quite sure
27. ## English

This is my essay topic: If I could delay going to college for one year, what would I do in that time? I have to write things that would relate to my major and interests in college (pre-med) so I need to think of some activities related to that, like
28. ## Calculus

We are doing limits in Calculus, but now we are doing trig limits too and i do not get how to do any of them. For example ones like this, how do you do them? sec (x-1) / (x sec x) x approaches 0 ((3 sin (x)) 1 - cos(x)) / (x^2) x approaches 0 (sin (2x)) /
29. ## Social Studies

Summarize the major factors that allowed the Incas to conquer and rule their large empire. Some suggest that, in many ways, the Incas were like the Romans or other Pre-Columbian American Civilizations. Evaluate whether they were more similar or different,
30. ## history 103

Summarize the major factors that allowed the Incas to conquer and rule their large empire. Some suggest that, in many ways, the Incas were like the Romans or other Pre-Columbian American Civilizations. Evaluate whether they were more similar or different,
31. ## Pre-Calc

The vecotr u= <4400, 4500> gives the number of two models of laptops produced by a company. The vector v=<1600, 950> gives the prices (in dollars) of the two models of laptops, respectively. Identify the vector operation used to increase
32. ## Pre cal

Find the horizontal distance a ball travels after 3 seconds, if the ball is hit with an initial velocity of 90 feet per second at an angle of 60 degrees from an initial height of 5 feet. Round answer to nearest tenth, if necessary. Do not include units.
33. ## Pre Calc

From 2 points 400 yards apart on the bank of a straight river flowing due south, the bearings of a point on the opposite bank are 148 degrees and 28 degrees. How wide is the river? I am having a hard time understanding how this is set up. Help please?
34. ## Pre Calc still confused

Solve: (x+5/x)+(6/x-4)=(-7/x^2-4x) I multiplied the entire function by x and x-4 and after doing that I got down to the quadratic equation x^2+7x-13=0 I did the quadratic and got x=1.525 and -8.525 I feel like I made a mistake because when I plug in both
35. ## Pre-calc Math

A tree on a hillside casts a shadow c = 210 ft down the hill. If the angle of inclination of the hillside is b = 21° to the horizontal and the angle of elevation of the sun is a = 51°, find the height of the tree. (Round your answer to the nearest foot.)
36. ## Algebra/Pre-Calc

Find the values for a and b such that f(x) is continuous on the interval 0 < or = to x < or = to 13. { 2x^2, 0 < or = to x < or = to 3 f(x) = { ax + 3, 3 < or = to x < or = to 7 { b, 7 < or = to x < or = to 13 Can someone explain?
37. ## Trig/Pre-Calc

Need help with current Trig problem for tomorrow: Solve the logarithmic equation algebraically. Approximate the result to three decimal places. 6log3(0.5x)=11 I know to start off the equation you divide by 6. I know the answer is 14.988. I just am puzzled
38. ## pre calc

The following polynomial approximates the rabbit population in a particular area.? R(x)= -0.121x^5+2.952x^4+3500, where x is the number of years frm 1975. use a graphing calculator to describe the rabbit population from the rears 1975 to 1990. how do you
39. ## Trig/Pre-Calc

Could someone please help me on this problem. I'm really confused, and this assignment is due tomorrow. Solve the logarithmic equation algebraically. Approximate the result to three decimal places. log4x-log4(x-1)=1/2 To start off the equation, I know you
40. ## pre-algebra

atoms contain charged particles called protons and electrons. each proton has a charge of +1, and each electron has a charge of -1. A sulfur ion has 16 protons and 18 electrons. find the net charge. Thank-You
41. ## pre alegra

A product that cost 2,000 increase by 5% in June. The new June price of the product increased by 5% on December 1st. How many dollars did the product increase by Dec 1. I don't have a clue! Can you please help
42. ## Trig/Pre-Cal

Show that the distance between the points (x,y) and the line Ax + By + C = 0 is: D = (Ax + By + C) / sqrt(A^2 + B^2) So, would you start out by multiplying sqrt (A^2 + B^2) to both sides and then it would become: sqrt (A^2 + B^2)D = Ax + By + C Then square
43. ## Pre-Algebra

Suppose you roll two number cubes and pick a letter of the alphabet at random. Find the probability you roll 2 even numbers and pick one of the vowels a, e, i, o, or u. A. 7/104 B. 5/104 C. 1/6 D. 1/104
44. ## pre calc

the hour hand of a clock is 5 inches long and the minute hand is 6 inches long. Determine the distance between the tips of the hand at 11:40 p.m. please help i don't understand how to do this. if you work it out this will help alot
45. ## Pre-Algebra

Montel spends \$0.75 every time he plays his favorite video game. Montel has \$10. write and solve an inequality that shows how many times Montel can play the video game.
46. ## Pre-Algebra

Solving it would give u x = -4...but I am not sure how you would graph that. You see, a linear inequality is an inequality that has one of the following four forms: Ax + By < C Ax + By > C Ax + By < C Ax + By > C PLZ!Somebody tell me the
47. ## Pre- AP Physics

The earth exerts a force of 1400 N on an orbiting communications satellite that is 35 mi above the Earth. What is the magnitude of the force the satellite will exert on the earth? Answer in units of Newtons
48. ## Pre Algebra

I can purchase a 30-ounce bottle of juice for \$1.80 or a 64 ounce bottle of juice for \$3.20. How much do I save per ounc by purchasing the larger bottle? 30 divided by 1.80= .06 4 dividec by 3.20= .05 Subtraction .06 by .05 Answer = 0.1
49. ## Pre calc

Find sin(2x), cos(2x), and tan(2x) from the given information. sin(x) = 5/13, x in Quadrant I sin(2x)? cos(2x)? tan(2x)? I honeslty just need one good example of how to do these please show all work and finalize answer
50. ## pre calc

Water is poured into a container in the sape of a right circlar cone with raiud 4t an heigh 16 feet. Express the volue (V) of the water in the cone as a funtio of the heigh (h) of the water. thanks
51. ## Pre Calc

simon goes to the playground to play on the swings. The length of each swing is 1.75m. What is the distance travelled on one swing, from max height to the next max height if the central angle of the swing is 1.4 rad?
52. ## pre calc

The front sprocket off a bicycle is 12 centimeters and the rear one is 5 centimeters. What is the linear velocity of the chain around the back sprocket? if the bicycle has tires that have a 38 centimeter diameter, how fast is the bicycle moving?
53. ## pre calc

The front sprocket off a bicycle is 12 centimeters and the rear one is 5 centimeters. What is the linear velocity of the chain around the back sprocket? if the bicycle has tires that have a 38 centimeter diameter, how fast is the bicycle moving?
54. ## Pre-calsulus

a twin-engine cessna is heading on bearing of 35 degrees with an air speed of 180 mph. if the wind is out with a bearing of 90 degrees at 40 mph, then what is the bearing of this course? what is the ground seed of the airplane?
55. ## Pre-Algebra

How would I make a frequency table with these numbers?: 465,599,567,529,243,250,268,319,294,316,325,364,358,237,270,534,479,614,283,575,591,555,508,609,584,304
56. ## Pre algebra

What kind of equation would I need for the total weekly cost if a cart rents for \$92 and to buy dry ice every day for \$2.50 a pound and you need 10 pounds a week. And you are supplied with bars for \$0.55 each and you have to sell them for \$2.75 per bar.
57. ## unique solution

How do I show that the equation x^4 + 3x + 1 = 0, -2 <= x <= -1 has exactly one solution in the interval. Thanks. One way to do this is to use trial and error. split the interval (-2,-1) into 10 equal parts. Then evaluate the function at each point.
58. ## precalc

I'm terrible at pre calc, could someone tell me if the solution set for log subscript 2 x + log sub 2 (x-1)=1 is the solution -1? Using either the elimination or substitution method is the solution set for 4x + y =11 and 2x -y = 7 is the answer (3, -1)?
59. ## Pre algebra

A cyclist rides her bike at a speed of kilometers per hour. What is this speed in kilometers per minute? How many kilometers will the cyclist travel in minutes? Do not round your answers.
60. ## Pre-algebra

4.A car traveling 23 mi/h accelerates to 46 mi/h and 5 Seconds.It maintains that speed for 5 seconds and then slows to a stop in 5 seconds which graph shows the car speed over time?
61. ## Math 156

A child's dose of medicine is 16 of a pre-measured dose cup. If the bottle of medicine is the size of 9 dose cups, how many children's doses are there in the bottle?
62. ## PRE-ALGEBRA

Paint costs \$21 per gallon is to be mixed with 6 gallons of paint thinner costing \$5 per gallon to make a paint that can be \$15 per gallon. Compute how much paint mixture will be produced.
63. ## Pre-algebra

Hi need help answering this question? In your own words, define the term equation and then explain what it means to solve an equation. Give an example of an equation and its solution. Explain why it is the solution.
64. ## math-calculus

|3-x|-1 = |4x+2| i try to do this and i not get correct answer which be -4/3 and 0.
65. ## Calculus

The graph of f(x)=x^3-3x^2-24x+1 is concave up when?
66. ## Calculus

Find dy/dx by implicit differentiation for the following 2x^2y+3y=-1
67. ## math-calculus

solve for x. |3x-2| = |2x+5|+1 okay so for these one it be |3x-2| = |2x+5| because 1 times in with |2x+5| or it be (-2x-5)
68. ## calculus

Given f'(x)=3cosx-10sinx and f(0)= -6 Find f(x)
69. ## Calculus

Explain how lim x->1 ((x^2)-1)/(sqrt(2x+2)-2) = 4
70. ## math-calculus

solve for x. |3x-2| = |2x+5|+1 okay so for these one it be |3x-2| = |2x+5| because 1 times in with |2x+5| or it be (-2x-5)
71. ## Calculus

Find the derivative, with respect to x of y = 7x^2 + 3x + 2
72. ## calculus

what is the domain of f if f(x)=2cos(4x+pie)-1
73. ## calculus

int dx/3sinx+4cosx dx =
74. ## Calculus

find derivative of w(x)= (23e^x)/4^x
75. ## Calculus

For the curve given by 4x^2 +y^2 = 48 + 2xy show that dy/dx =y-4x/y-x
76. ## calculus

find lim x->0 3- sqrt x+9/-x
77. ## Calculus

what is the second derivative of (x^3-6x)^11 that is fully simplex
78. ## Calculus

find the rate of change dy/dx for y=x(1-x); x=-1
79. ## calculus

find ds/dt at (2,1) given t6(2)-2ts+s^(2)=s possible choices are -2/3, 2/3, -3/2 or 3/2
80. ## calculus

find an antiderivative P of p(s)=2sin(2s)
81. ## calculus

Integral sin 8x/2 cosx/2 dx
82. ## calculus

how do you know when a graph concave upwards just not getting it.
83. ## Calculus I

find the antiderivative of f(x)=(x^2)/(x^3+5) with explanation
84. ## Calculus

integrate (27x -9x^2)/sqrt(x^3 +9)
85. ## Calculus

find y' if sin^-1(xy)=cosy
86. ## calculus

Determine the following limit. lim (1/x-3) x->3
87. ## calculus

Find the maximum value of the function f(x)=(x^2+9x-3) / x^2
88. ## calculus

What is the DERIVATIVE of: ln x^2 * ln 6 -(product rule)
89. ## calculus

This is stupid, but can anyone find the derivative of f(x)=8^(1-2x^2)?

91. ## calculus

what is volume of each drop (US unit)?
92. ## Calculus

Solve the initial-value problem. y'' - 2y' + y = 0 , y(2) = 0 , y'(2) = 1
93. ## Calculus

If A=125e^-kt and A=200 when t=3, find the value of k.
94. ## Calculus pz help urgently

Integrate:sinxcos(x-1/4.pi)dx
95. ## Calculus

Solve the boundary-value problem. y'' + 5y' - 6y = 0 , y(0) = 0 , y(2) = 1
96. ## CALCULUS

FIND EACH INDEFINITE INTERGRAL (X^2+1)^9 2X DX
### Content Structure
The text passage is a collection of questions and problems from a pre-calculus course. Each question is numbered and covers various topics such as trigonometry, algebra, and functions.

### Analysis
multiple_questions

### explanation
1. **multiple questions**: the passage contains multiple distinct mathematical questions, each with its own problem statement.
2. **no answers provided**: none of the questions in the passage are followed by an answer. each question is presented as a standalone problem to be solved.
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# Pre- Calculus

21,894 results, page 59
1. ## pre cal

Given sin(α)=4/5 and 0<α<π/2, find the exact value of sin(α/2).
2. ## creative play

Teachers who adjust the physical environment for children with disabilities need to: A. be knowledgeable about the disability. B. emphasize a child's disability. C. adapt only indoor equipment and materials. D. purchase expensive pre-made materials and
3. ## pre cal

A movie theater seats 400 people. For any particular show, the amount of money the theater makes is a function m(n) of the number of people, n, in attendance. If a ticket costs 2 dollars, find the domain and range of this function
4. ## pre calc

Solve: (x+5/x)+(6/x-4)=(-7/x^2-4x) I multiplied the entire function by x and x-4 and after doing that I got down to the quadratic equation x^2+7x-13=0 I did the quadratic and got x=1.525 and -8.525 I feel like I made a mistake because when I plug in both
5. ## Chemistry Pre-AP

What volume of oxygen gas can be collected at 0.565 atm pressure and 48.0◦C when 42.9g of KClO3 decompose by heating, according to the following equation? 2 KClO3(s) ∆−−−−→2KCl(s) + 3O2(g) MnO2
6. ## Pre Cal

An open box is formed from an 80cm by 80cm peice of metal by cutting four identical squares from the corners and folding up the sides. Express the volume of the box in terms of x. Then describe how you could find the maximum possible volume.
7. ## Pre-Calc.

You want to make an investment in a continuously compounding account over a period of 20 years. What interest rate is required for your investment to double in that time period? Round the logarithm value to the nearest hundredth and the answer to the
8. ## Pre-Calc/Trig

A body was found at 6 a.m. outdoors on a day when the temperature was 50oF. The medical examiner found the temperature of the body to be 66oF. What was the approximate time of death? Use Newton's law of cooling, with k = 0.1947. A. Midnight (12 a.m.) B. 5
9. ## calculus

a security camera in a bank is mounted on the wall 6.2 ft above the level of the counter and 9.4ft behind the front edge of the counter. What is the angle of depression of the camera if it is to be aimed 2 ft beyond the front edge of the counter. i
10. ## Geometry

A pre-image segment with endpoints (3,-2) and (4,2) is dilated to the image segment with endpoints (9,-6) and (12,6). What is the scale factor for the dilation?
11. ## pre algebra

Triangle XYZ has vertices X(- 1, 1), Y(- 3, 1), and Z( -2, 5). Reflect triangle XYZ in the y-axis. Find the vertices of the image
12. ## pre algebra

a used laptop computer sells for \$696. that is a 40% reduction from the original price. what was the original price of the computer?
13. ## pre-algebra

Terry has 43 dollars in a checking account.If terry writes a check for 62 dollars what is the new checking balance?
14. ## Pre-Algebra

Jenny buys an 18'sandwich. Demi gets 1/2 the amount the Jenny gets. Joel gets 3/4 the amount Jenny gets. How much does Jenny get? Please explain.
15. ## Math

you have exactly \$50.00 to spend on taxable groceries. they charge 4.3% sales tax on food. What is the most you can spend on food, pre-tax?
16. ## pre-algebra

Use algebra tiles to find the difference. Let one white tile equal +1 and one black tile equal –1.
17. ## Pre algebra

The scale on a map indicates that 1 inch represents 10 miles. If two cities are 2 3/4 inches apart on a map, how many miles apart are the two cities?
18. ## Pre-Cal

verify the identity sin x(1 - 2 cos^2 x + cos^4 x) = sin^5 x 1-2cos^2 x looks like 2cos^2x-1 its just backwards. I am not sure where to start.
19. ## Pre-Cal

log base2 5 square root of 512 use the definition of b^1/n log base2 512^1/5 Not quite sure what to do after this Simplfiy.
20. ## pre. cal.

Find the least integral upper bound of the zeros of the function f(x) = x^3 - x^2 + 1? I got... The least upper bound of the zeros of f(x) is -0.7549
21. ## Pre-Alegebra

IF the scale model of an 82 inch long table is 10.25 inches long, what is the scale used to create the model?
22. ## math

Baseball Nick throws a baseball upward with an initial velocity of 60 feet per second. What is the maximum height of the ball after Nick releases the ball? Formula for the problem - h(t)=v0t-16t^2, h(t)= the height of an object in feet, v0=an object's

1. Career Fairs allow job-seekers to contact several prospective employers in a short time. (T/F) 2. It is illegal for businesses to screen applicants for skills and abilities in pre-employment tests. (T/F) 3. You would study business and economics trends
24. ## Pre Calc

the units digit of a 2 digit number is 4 less than the tens digit. the number it names is 3 less than 9 times the sum of the digits what is the number?
25. ## Calculus (final question I promise)

1. Use calculus and algebraic methods to do a complete analysis (i.e., intercepts, critical points, intervals of increase and decrease, points of inflection, intervals of concavity, local maximum or minimum points) for each of the following functions and
26. ## pre-cal

The sq root of -4 (3-sq root of -9) a)6 +6i b)-6+6i c)6-6i d)-6-6i Again the i's are in italics. I would think that c and d could be eliminated because the answer is suppose to be in the form a + bi but they could be trting to trick you. I'm not quite sure
27. ## English

This is my essay topic: If I could delay going to college for one year, what would I do in that time? I have to write things that would relate to my major and interests in college (pre-med) so I need to think of some activities related to that, like
28. ## Calculus

We are doing limits in Calculus, but now we are doing trig limits too and i do not get how to do any of them. For example ones like this, how do you do them? sec (x-1) / (x sec x) x approaches 0 ((3 sin (x)) 1 - cos(x)) / (x^2) x approaches 0 (sin (2x)) /
29. ## Social Studies

Summarize the major factors that allowed the Incas to conquer and rule their large empire. Some suggest that, in many ways, the Incas were like the Romans or other Pre-Columbian American Civilizations. Evaluate whether they were more similar or different,
30. ## history 103

Summarize the major factors that allowed the Incas to conquer and rule their large empire. Some suggest that, in many ways, the Incas were like the Romans or other Pre-Columbian American Civilizations. Evaluate whether they were more similar or different,
31. ## Pre-Calc

The vecotr u= <4400, 4500> gives the number of two models of laptops produced by a company. The vector v=<1600, 950> gives the prices (in dollars) of the two models of laptops, respectively. Identify the vector operation used to increase
32. ## Pre cal

Find the horizontal distance a ball travels after 3 seconds, if the ball is hit with an initial velocity of 90 feet per second at an angle of 60 degrees from an initial height of 5 feet. Round answer to nearest tenth, if necessary. Do not include units.
33. ## Pre Calc

From 2 points 400 yards apart on the bank of a straight river flowing due south, the bearings of a point on the opposite bank are 148 degrees and 28 degrees. How wide is the river? I am having a hard time understanding how this is set up. Help please?
34. ## Pre Calc still confused

Solve: (x+5/x)+(6/x-4)=(-7/x^2-4x) I multiplied the entire function by x and x-4 and after doing that I got down to the quadratic equation x^2+7x-13=0 I did the quadratic and got x=1.525 and -8.525 I feel like I made a mistake because when I plug in both
35. ## Pre-calc Math

A tree on a hillside casts a shadow c = 210 ft down the hill. If the angle of inclination of the hillside is b = 21° to the horizontal and the angle of elevation of the sun is a = 51°, find the height of the tree. (Round your answer to the nearest foot.)
36. ## Algebra/Pre-Calc

Find the values for a and b such that f(x) is continuous on the interval 0 < or = to x < or = to 13. { 2x^2, 0 < or = to x < or = to 3 f(x) = { ax + 3, 3 < or = to x < or = to 7 { b, 7 < or = to x < or = to 13 Can someone explain?
37. ## Trig/Pre-Calc

Need help with current Trig problem for tomorrow: Solve the logarithmic equation algebraically. Approximate the result to three decimal places. 6log3(0.5x)=11 I know to start off the equation you divide by 6. I know the answer is 14.988. I just am puzzled
38. ## pre calc

The following polynomial approximates the rabbit population in a particular area.? R(x)= -0.121x^5+2.952x^4+3500, where x is the number of years frm 1975. use a graphing calculator to describe the rabbit population from the rears 1975 to 1990. how do you
39. ## Trig/Pre-Calc

Could someone please help me on this problem. I'm really confused, and this assignment is due tomorrow. Solve the logarithmic equation algebraically. Approximate the result to three decimal places. log4x-log4(x-1)=1/2 To start off the equation, I know you
40. ## pre-algebra

atoms contain charged particles called protons and electrons. each proton has a charge of +1, and each electron has a charge of -1. A sulfur ion has 16 protons and 18 electrons. find the net charge. Thank-You
41. ## pre alegra

A product that cost 2,000 increase by 5% in June. The new June price of the product increased by 5% on December 1st. How many dollars did the product increase by Dec 1. I don't have a clue! Can you please help
42. ## Trig/Pre-Cal

Show that the distance between the points (x,y) and the line Ax + By + C = 0 is: D = (Ax + By + C) / sqrt(A^2 + B^2) So, would you start out by multiplying sqrt (A^2 + B^2) to both sides and then it would become: sqrt (A^2 + B^2)D = Ax + By + C Then square
43. ## Pre-Algebra

Suppose you roll two number cubes and pick a letter of the alphabet at random. Find the probability you roll 2 even numbers and pick one of the vowels a, e, i, o, or u. A. 7/104 B. 5/104 C. 1/6 D. 1/104
44. ## pre calc

the hour hand of a clock is 5 inches long and the minute hand is 6 inches long. Determine the distance between the tips of the hand at 11:40 p.m. please help i don't understand how to do this. if you work it out this will help alot
45. ## Pre-Algebra

Montel spends \$0.75 every time he plays his favorite video game. Montel has \$10. write and solve an inequality that shows how many times Montel can play the video game.
46. ## Pre-Algebra

Solving it would give u x = -4...but I am not sure how you would graph that. You see, a linear inequality is an inequality that has one of the following four forms: Ax + By < C Ax + By > C Ax + By < C Ax + By > C PLZ!Somebody tell me the
47. ## Pre- AP Physics

The earth exerts a force of 1400 N on an orbiting communications satellite that is 35 mi above the Earth. What is the magnitude of the force the satellite will exert on the earth? Answer in units of Newtons
48. ## Pre Algebra

I can purchase a 30-ounce bottle of juice for \$1.80 or a 64 ounce bottle of juice for \$3.20. How much do I save per ounc by purchasing the larger bottle? 30 divided by 1.80= .06 4 dividec by 3.20= .05 Subtraction .06 by .05 Answer = 0.1
49. ## Pre calc

Find sin(2x), cos(2x), and tan(2x) from the given information. sin(x) = 5/13, x in Quadrant I sin(2x)? cos(2x)? tan(2x)? I honeslty just need one good example of how to do these please show all work and finalize answer
50. ## pre calc

Water is poured into a container in the sape of a right circlar cone with raiud 4t an heigh 16 feet. Express the volue (V) of the water in the cone as a funtio of the heigh (h) of the water. thanks
51. ## Pre Calc

simon goes to the playground to play on the swings. The length of each swing is 1.75m. What is the distance travelled on one swing, from max height to the next max height if the central angle of the swing is 1.4 rad?
52. ## pre calc

The front sprocket off a bicycle is 12 centimeters and the rear one is 5 centimeters. What is the linear velocity of the chain around the back sprocket? if the bicycle has tires that have a 38 centimeter diameter, how fast is the bicycle moving?
53. ## pre calc

The front sprocket off a bicycle is 12 centimeters and the rear one is 5 centimeters. What is the linear velocity of the chain around the back sprocket? if the bicycle has tires that have a 38 centimeter diameter, how fast is the bicycle moving?
54. ## Pre-calsulus

a twin-engine cessna is heading on bearing of 35 degrees with an air speed of 180 mph. if the wind is out with a bearing of 90 degrees at 40 mph, then what is the bearing of this course? what is the ground seed of the airplane?
55. ## Pre-Algebra

How would I make a frequency table with these numbers?: 465,599,567,529,243,250,268,319,294,316,325,364,358,237,270,534,479,614,283,575,591,555,508,609,584,304
56. ## Pre algebra

What kind of equation would I need for the total weekly cost if a cart rents for \$92 and to buy dry ice every day for \$2.50 a pound and you need 10 pounds a week. And you are supplied with bars for \$0.55 each and you have to sell them for \$2.75 per bar.
57. ## unique solution

How do I show that the equation x^4 + 3x + 1 = 0, -2 <= x <= -1 has exactly one solution in the interval. Thanks. One way to do this is to use trial and error. split the interval (-2,-1) into 10 equal parts. Then evaluate the function at each point.
58. ## precalc

I'm terrible at pre calc, could someone tell me if the solution set for log subscript 2 x + log sub 2 (x-1)=1 is the solution -1? Using either the elimination or substitution method is the solution set for 4x + y =11 and 2x -y = 7 is the answer (3, -1)?
59. ## Pre algebra

A cyclist rides her bike at a speed of kilometers per hour. What is this speed in kilometers per minute? How many kilometers will the cyclist travel in minutes? Do not round your answers.
60. ## Pre-algebra

4.A car traveling 23 mi/h accelerates to 46 mi/h and 5 Seconds.It maintains that speed for 5 seconds and then slows to a stop in 5 seconds which graph shows the car speed over time?
61. ## Math 156

A child's dose of medicine is 16 of a pre-measured dose cup. If the bottle of medicine is the size of 9 dose cups, how many children's doses are there in the bottle?
62. ## PRE-ALGEBRA

Paint costs \$21 per gallon is to be mixed with 6 gallons of paint thinner costing \$5 per gallon to make a paint that can be \$15 per gallon. Compute how much paint mixture will be produced.
63. ## Pre-algebra

Hi need help answering this question? In your own words, define the term equation and then explain what it means to solve an equation. Give an example of an equation and its solution. Explain why it is the solution.
64. ## math-calculus

|3-x|-1 = |4x+2| i try to do this and i not get correct answer which be -4/3 and 0.
65. ## Calculus

The graph of f(x)=x^3-3x^2-24x+1 is concave up when?
66. ## Calculus

Find dy/dx by implicit differentiation for the following 2x^2y+3y=-1
67. ## math-calculus

solve for x. |3x-2| = |2x+5|+1 okay so for these one it be |3x-2| = |2x+5| because 1 times in with |2x+5| or it be (-2x-5)
68. ## calculus

Given f'(x)=3cosx-10sinx and f(0)= -6 Find f(x)
69. ## Calculus

Explain how lim x->1 ((x^2)-1)/(sqrt(2x+2)-2) = 4
70. ## math-calculus

solve for x. |3x-2| = |2x+5|+1 okay so for these one it be |3x-2| = |2x+5| because 1 times in with |2x+5| or it be (-2x-5)
71. ## Calculus

Find the derivative, with respect to x of y = 7x^2 + 3x + 2
72. ## calculus

what is the domain of f if f(x)=2cos(4x+pie)-1
73. ## calculus

int dx/3sinx+4cosx dx =
74. ## Calculus

find derivative of w(x)= (23e^x)/4^x
75. ## Calculus

For the curve given by 4x^2 +y^2 = 48 + 2xy show that dy/dx =y-4x/y-x
76. ## calculus

find lim x->0 3- sqrt x+9/-x
77. ## Calculus

what is the second derivative of (x^3-6x)^11 that is fully simplex
78. ## Calculus

find the rate of change dy/dx for y=x(1-x); x=-1
79. ## calculus

find ds/dt at (2,1) given t6(2)-2ts+s^(2)=s possible choices are -2/3, 2/3, -3/2 or 3/2
80. ## calculus

find an antiderivative P of p(s)=2sin(2s)
81. ## calculus

Integral sin 8x/2 cosx/2 dx
82. ## calculus

how do you know when a graph concave upwards just not getting it.
83. ## Calculus I

find the antiderivative of f(x)=(x^2)/(x^3+5) with explanation
84. ## Calculus

integrate (27x -9x^2)/sqrt(x^3 +9)
85. ## Calculus

find y' if sin^-1(xy)=cosy
86. ## calculus

Determine the following limit. lim (1/x-3) x->3
87. ## calculus

Find the maximum value of the function f(x)=(x^2+9x-3) / x^2
88. ## calculus

What is the DERIVATIVE of: ln x^2 * ln 6 -(product rule)
89. ## calculus

This is stupid, but can anyone find the derivative of f(x)=8^(1-2x^2)?

91. ## calculus

what is volume of each drop (US unit)?
92. ## Calculus

Solve the initial-value problem. y'' - 2y' + y = 0 , y(2) = 0 , y'(2) = 1
93. ## Calculus

If A=125e^-kt and A=200 when t=3, find the value of k.
94. ## Calculus pz help urgently

Integrate:sinxcos(x-1/4.pi)dx
95. ## Calculus

Solve the boundary-value problem. y'' + 5y' - 6y = 0 , y(0) = 0 , y(2) = 1
96. ## CALCULUS

FIND EACH INDEFINITE INTERGRAL (X^2+1)^9 2X DX
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### Content Structure
The text passage is a collection of questions and problems from a pre-calculus course. Each question is numbered and covers various topics such as trigonometry, algebra, and functions.

### Analysis
TYPE: MULTIPLE_QUESTIONS

### Explanation
1. **Multiple Questions**: The passage contains multiple distinct mathematical questions, each with its own problem statement.
2. **No Answers Provided**: None of the questions in the passage are followed by an answer. Each question is presented as a standalone problem to be solved.