Questions on Algebra: Trigonometry answered by real tutors!

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Question 50958: please help me solve this function problem. if f%28x%29=sec%5E2%282x%29 then find f(pi/6). i plugged pi/6 in and got f(x)=sec^2 (pi/3) but now i don't know what to do. please help.
Click here to see answer by stanbon(57424) About Me 

Question 50962: hi. i don't know how to find the domain of these problems: f(x)= square root (1-sinx). also, (-cosx)/(2square root(1-sinx)). please explain how to find domain on these thanks
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Question 51134: ok i dont know what categorey it goes in.. but i need help on changing trinomials into binomials.
I am a visual learner so please show me how to convert them.

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Question 51136: The volume of a circular cylinder is 250pi cm cube. What is the height of the cylinder?
Radius is 5

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Question 51253: One-half of the sum of three consecutive multiples of 10 is 75. Find the three multiples of 10.
Click here to see answer by rchill(405) About Me 

Question 51942: use the unit circle to evaluate the following. please help im lost
sin(-3(3.14)/2)
sin(133(3.14)/2)
tan(-49(3.14)/2
sec (-5(3.14)/2)
csc(7(3.14)/2)

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Question 52248: Find the angle of elevation of the top of a tower of height 100 metre from a point at a distance of 100 metre from the foot of the tower of an horizontal plane
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Question 52942:
1.3a2-4b2,for a=-3/4,b=1/2
2. -7x-3y, for x=-6
3. 6x-9y-8x+4y, x=1/2, y=1/3




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Question 52851: find all real values of x such that f(x)=0:
f%28x%29=x%5E2-9
please help
thanks

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Question 52852: find all real values of x for which f(x)=g(x):
f(x)=x^2, g(x)=x+2
please help
thanks

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Question 53723: FIND THE DOMAIN,RANGE,AND PERIOD OF THE FOLLOWING FUNCTIONS. PLEASE HELP I HAVE NO CLUE AND WE ARE SUPPOSED TO GRAPH IT ON A TI-82 CALCULATOR TO CHECK THE ANSWERS.
Y=2SIN(X-PI/4)
Y=-2SIN(PIX=PI)
Y=-COS(2X-PI)
Y=6COS(3X=PI/2)

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Question 53781: What is 9.8 meters per second squared. The answer must be in feet.
Click here to see answer by venugopalramana(3286) About Me 

Question 53883: if sin x= 8/17, where 0 degree < x < 90 degree, determne the exact vaule of cos (x + 180)
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Question 53918: When graphed using polar coordinates, the center of a regular nonagon is at the origin and one vertex is at (6,0 degrees) or (6,0 radians). Find the polar coordiantes of the other vertices in both degrees and radians.
Click here to see answer by venugopalramana(3286) About Me 
Question 53918: When graphed using polar coordinates, the center of a regular nonagon is at the origin and one vertex is at (6,0 degrees) or (6,0 radians). Find the polar coordiantes of the other vertices in both degrees and radians.
Click here to see answer by AnlytcPhil(1278) About Me 

Question 53917: Consider the graph of y = tan x
(a)How does it show that the tangent of 90 degrees is undefined?
(b)What are other undefined x values?
(c)What is the value of the tangent of angles that are close to 90 degrees (say 89.9 degrees and 90.01 degrees)?
(d)How does the graph show this?

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Question 54041: What is the angle of elevation of the sun when a 35-ft mast casts a 20-ft shadow?
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Question 54041: What is the angle of elevation of the sun when a 35-ft mast casts a 20-ft shadow?
Click here to see answer by Nate(3500) About Me 

Question 54092: How many units of horizontal shifting occurs?
from: f(x) = 2tan(x/3 + 1) + 2
to: f(x) = 2tan(x/3 + 4) + 2

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Question 53881: let f(x)^2-3 and g(x)=4-x
find (fg)(x)

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Question 54695: Relations and Functions how you graph
18.)[(3,9), (2,4), (1,1), (0,0), (-1,1), (-2,4), (-3,9)]

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Question 54821: PLEASE HELP ME WITH THIS PROBLEM:
FIND THE QUOTIENT AND REMAINDER OF f(x)=x^3-4x^2+5x+5 DIVIDED BY p(x)=x-1

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Question 52850: find all real values of x such that f(x)=0:
f(x)=15-3x
please help
thanks

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Question 55025: Sketch the graph of y=tan(x-pi) without using a calculator. What is the period and where are the asymtopes?
Click here to see answer by stanbon(57424) About Me 

Question 55089: Hi,
I don't understand this problem: Solve sinx=x+1. i got as far as moving everything to one side and now i'm stuck. please help!

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Question 55171: ANYONE PLEASE HELP ME SOLVE THIS PROBLEM:
The amount A in an account after t years from an initial principle P invested at an annual rate r compounded continuously is given by A=Pe^rt where r is expressed as a decimal. How many years will it take an initial investment of $1,700 at the rate of 4.42% compounded continuously?

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Question 55171: ANYONE PLEASE HELP ME SOLVE THIS PROBLEM:
The amount A in an account after t years from an initial principle P invested at an annual rate r compounded continuously is given by A=Pe^rt where r is expressed as a decimal. How many years will it take an initial investment of $1,700 at the rate of 4.42% compounded continuously?

Click here to see answer by funmath(2925) About Me 

Question 55170: PLEASE HELP ME WITH THIS PROBLEM I CANNOT FIGURE IT OUT IVE BEEN TRYING FOR DAYS:
The amount of a radioactive tracer remaining after t days is given A=Ao e^-0.058t, where Ao is the starting amount at the beginning of the time period. How many days will it take for one half of the original amount to decay?

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Question 55170: PLEASE HELP ME WITH THIS PROBLEM I CANNOT FIGURE IT OUT IVE BEEN TRYING FOR DAYS:
The amount of a radioactive tracer remaining after t days is given A=Ao e^-0.058t, where Ao is the starting amount at the beginning of the time period. How many days will it take for one half of the original amount to decay?

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Question 55288: PLEASE HELP:
For the function defined by f(x)=5x-4, find a formula for f^-1(x).

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Question 55287: SOMEONE HELP ME PLEASE:
From the information in the table providing values of f(x) and g(x), evaluate (f O g)^-1(3).
x 1 2 3 4 5
f(x) 5 3 5 1 2
g(x) 4 5 1 3 2

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Question 55488: PLEASE HELP ME:
Solve the equation 4^2x+1=2^3x+6

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Question 55488: PLEASE HELP ME:
Solve the equation 4^2x+1=2^3x+6

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Question 56419: cos 225 as function of a positve acute angle less than 45.
The reference angel of cos 225 is -cos 45 but that is not less than 45 nor is it positve.

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Question 56717: find the maximum value of y=-x^2 + 6x
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Question 56717: find the maximum value of y=-x^2 + 6x
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Question 56712: Give the center of the circle with the equation x^2 + 2x + y^2 - 10y + 22 = 0.
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Question 57004: define similar
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Question 56709: Find the midpoint of the line segement from A(-2,9) to B(4,5).
Click here to see answer by rcmcc(152) About Me 

Question 57442: 1)1. Solve the equation 3(2x-1) + x = 5x+3.
a. 0
b. 3
c. 3/2
d. no solution
2)2. Use the quadratic formula to solve y2+10y+24 = 0.
3)3. Solve by factoring: a2 -5a-14 = 0.
a. 5, 14
b. -7, 2
c. 2, 7
d. 7, -2
4)4. Solve the inequality 3x + 5< with - under < 7 . Write the solution using interval notation.
a. (- ∞ , 4]
b. [4, ∞ )
c. (- ∞ , 2/3]
d. [2/3, ∞ )

Click here to see answer by funmath(2925) About Me 
Question 57442: 1)1. Solve the equation 3(2x-1) + x = 5x+3.
a. 0
b. 3
c. 3/2
d. no solution
2)2. Use the quadratic formula to solve y2+10y+24 = 0.
3)3. Solve by factoring: a2 -5a-14 = 0.
a. 5, 14
b. -7, 2
c. 2, 7
d. 7, -2
4)4. Solve the inequality 3x + 5< with - under < 7 . Write the solution using interval notation.
a. (- ∞ , 4]
b. [4, ∞ )
c. (- ∞ , 2/3]
d. [2/3, ∞ )

Click here to see answer by Nate(3500) About Me 

Question 57480: 1) Solve x2-2x-3>0.
a. (-3, 1)
b. (-1, 3)
c. (- ∞ , -3) U (1, ∞ )
d. (- ∞ , -1) U (3, ∞ )

Click here to see answer by funmath(2925) About Me 
Question 57480: 1) Solve x2-2x-3>0.
a. (-3, 1)
b. (-1, 3)
c. (- ∞ , -3) U (1, ∞ )
d. (- ∞ , -1) U (3, ∞ )

Click here to see answer by stanbon(57424) About Me 

Question 57556:
1). Find the length of an arc that subtends a central angle of 150 ° in a circle of radius 5 centimeters.
a. 25 π /6 centimeters
b. 750 centimeters
c. 30 centimeters
d. π /6 centimeters

2). Find the values of the six trigonometric functions of the acute angle in standard position with the terminal side passing through the point P(8, 6).
a. sin θ = 3/5; cos θ = 4/5; tan θ = 4/3; csc θ = 5/3; sec θ = 5/4; cot θ = 3/4
b. sin θ = 4/5; cos θ = 3/5; tan θ = 4/3; csc θ = 5/4; sec θ = 5/3; cot θ = 3/4
c. sin θ = 3/5; cos θ = 4/5; tan θ = 3/4; csc θ = 5/3; sec θ = 5/4; cot θ = 4/3
d. sin θ = 4/5; cos θ = 3/5; tan θ = 3/4; csc θ = 5/4; sec θ = 5/3; cot θ = 4/3

3). If θ is an acute angle in standard position and cos θ = 4/5, find sin θ .
a. 4/3
b. 5/4
c. 5/3
d. 3/5

4). If θ is an acute angle in standard position and cot θ = 12/5, find sin θ .
a. 12/13
b. 5/13
c. 13/12
d. 13/5


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Question 57558:
13. Find the exact value of sin 30 ° - sin 45 ° cos 45 ° .
a. 0
b. 1/2
c. 1
d. 2

14. Find the value of tan 42 ° to 4 decimal places.
a. 2.2914
b. 0.9004
c. 1.1106
d. 0.7431

15. Find the value of sec 38 ° to 4 decimal places.
a. 1.6243
b. 0.7880
c. 0.6157
d. 1.2690


Click here to see answer by funmath(2925) About Me 

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585