• Find all solutions of the equation in the interval [0, 2π) 10 cos2 x + 5 cos x − 5 = 0?

    Is it meant to be :- 10 cos²x + 5 cos x - 5 = 0 If so:- 5 [ 2 cos²x + cos x - 1 ] = 0 [ 2 cos x - 1 ] [ cos x + 1 ] = 0 cos x = 1/2 , cos x = - 1 x = π/3 , 11π/3 , π
    Is it meant to be :- 10 cos²x + 5 cos x - 5 = 0 If so:- 5 [ 2 cos²x + cos x - 1 ] = 0 [ 2 cos x - 1 ] [ cos x + 1 ] = 0 cos x = 1/2 , cos x = - 1 x = π/3 , 11π/3 , π
    5 answers · Mathematics · 20 hours ago
  • 6 x 3 2/3?

    6 x 11/2 = 3 x 11 = 33
    6 x 11/2 = 3 x 11 = 33
    9 answers · Mathematics · 21 hours ago
  • How to make b the subject is the question is a = 1/4 b?

    Should really be shown as :- a = (1/4) b 4 a = b
    Should really be shown as :- a = (1/4) b 4 a = b
    9 answers · Mathematics · 23 hours ago
  • Please help! The final answer to the bellow is $21,150 but I just can get to it!?

    start_______year 1_____year 2____year 3_____year 3.5 $18,000___$18,900___$19,800___$20,700___... or $18000 + 3.5 x $900 = $18000 + $3150 = $21,150
    start_______year 1_____year 2____year 3_____year 3.5 $18,000___$18,900___$19,800___$20,700___... or $18000 + 3.5 x $900 = $18000 + $3150 = $21,150
    8 answers · Mathematics · 23 hours ago
  • Find the following rounding to three decimal places?

    5^x = 10 x log 5 = 1 x = 1 / log 5 x = 1.431
    5^x = 10 x log 5 = 1 x = 1 / log 5 x = 1.431
    6 answers · Mathematics · 23 hours ago
  • Soove the equestion: e^6t+2 = 5e^3t+2?

    Will assume that presentation is incorrect and should be :- e^(6t + 2) = 5 e^(3t + 2) e^(3t) = 5 3t = ln 5 t = (1/3) ln 5
    Will assume that presentation is incorrect and should be :- e^(6t + 2) = 5 e^(3t + 2) e^(3t) = 5 3t = ln 5 t = (1/3) ln 5
    4 answers · Mathematics · 1 day ago
  • 4x squared + 4x divided by 2x squared subtract 2?

    4x² + 4x --------- 2x² - 2 (4x) ( x + 1 ) ----------------- 2 ( x - 1) (x + 1) 2x ---------- x - 1
    4x² + 4x --------- 2x² - 2 (4x) ( x + 1 ) ----------------- 2 ( x - 1) (x + 1) 2x ---------- x - 1
    5 answers · Mathematics · 1 day ago
  • Find the line which passes through two points?

    Line 1 m = 3/2 y - 2 = (3/2) ( x - 1 ) y = (3/2) x + 1/2 Line 2 m = - 4 / 7 y - 1 = (-4/7) ( x - 2) y = (-4/7) x + 15/7 (3/2) x + 1/2 = (-4/7) x + 15/7 21x + 7 = - 8x + 30 29 x = 23 x = 23/29 y = (3/2) (23/29) + 1/2 y = 69/58 + 29/58 y = 98/58 = 49/29 Point (23/29 , 42/29)
    Line 1 m = 3/2 y - 2 = (3/2) ( x - 1 ) y = (3/2) x + 1/2 Line 2 m = - 4 / 7 y - 1 = (-4/7) ( x - 2) y = (-4/7) x + 15/7 (3/2) x + 1/2 = (-4/7) x + 15/7 21x + 7 = - 8x + 30 29 x = 23 x = 23/29 y = (3/2) (23/29) + 1/2 y = 69/58 + 29/58 y = 98/58 = 49/29 Point (23/29 , 42/29)
    8 answers · Mathematics · 1 day ago
  • (x3 y5) -2 simplify?

    I am going to take a guess that question is meant to read as :- [ x^3 y^5 ]^(-2) = 1 / [ x^6 y^10 ]
    I am going to take a guess that question is meant to read as :- [ x^3 y^5 ]^(-2) = 1 / [ x^6 y^10 ]
    3 answers · Mathematics · 2 days ago
  • Use the law of exponents or logarithms to evalluate the expression A) Log4 sqrt2 B) log4 (1/2)?

    Assuming that log is log to base 4 :- a) x = log 2^(1/2) 4^x = 2^(1/2) 2^(2x) = 2^(1/2) 2x = 1/2 x = 1/4 b) x = log (1/2) 2^x = 1/2 x = - 1
    Assuming that log is log to base 4 :- a) x = log 2^(1/2) 4^x = 2^(1/2) 2^(2x) = 2^(1/2) 2x = 1/2 x = 1/4 b) x = log (1/2) 2^x = 1/2 x = - 1
    4 answers · Mathematics · 2 days ago
  • 1/2 of 2/8?

    1/8
    1/8
    24 answers · Mathematics · 2 days ago
  • What is the answer of y=2x+7?

    Question has no meaning. Out of interest this is equation of a straight line of gradient 2 that passes thro` the points (0,7) and (-7/2 , 0 )
    Question has no meaning. Out of interest this is equation of a straight line of gradient 2 that passes thro` the points (0,7) and (-7/2 , 0 )
    7 answers · Mathematics · 2 days ago
  • How many solutions does the equation tan^2x=1/4 have between 0 and 3/2pi?

    tan ² x = 1 / 4 tan x = ± 1 / 2 x = π/6 , 5π/6 , 7π/6 , 13π/6 x = π/6 , 5π/6 , 7π/6 is required solution for given limits
    tan ² x = 1 / 4 tan x = ± 1 / 2 x = π/6 , 5π/6 , 7π/6 , 13π/6 x = π/6 , 5π/6 , 7π/6 is required solution for given limits
    4 answers · Mathematics · 2 days ago
  • A pack contains 24 pens henry and alice share them in the ratio 3:5 how many does alice recieve?

    Henry____Alice______Total 3__________5________8 ___________________24 9_________15_______24 Alice receives 15
    Henry____Alice______Total 3__________5________8 ___________________24 9_________15_______24 Alice receives 15
    8 answers · Mathematics · 2 days ago
  • Use mathematical induction to prove that the following statement is true: 10 + 13 + 16 + .. +(3n + 7) = 1/2 n (3n+17). for all n E N?

    Best answer: Let k be any value of n P (k) is proposition that 10 + 13 + 16 ---------+ (3k + 7) = (1/2) k (3k + 17) Have to show this to be true for k = 1 and k = k + 1 Consider k = 1 :- LHS = 10 RHS = (1/2) (1) (20) = 10 thus true for k = 1 Consider k = k + 1 :- to show that 10 + 13 + 16 ------+ (3k + 7) + 3k + 10 = (1/2) (k+ 1) (3k + 20) is... show more
    Best answer: Let k be any value of n P (k) is proposition that 10 + 13 + 16 ---------+ (3k + 7) = (1/2) k (3k + 17) Have to show this to be true for k = 1 and k = k + 1 Consider k = 1 :- LHS = 10 RHS = (1/2) (1) (20) = 10 thus true for k = 1 Consider k = k + 1 :- to show that 10 + 13 + 16 ------+ (3k + 7) + 3k + 10 = (1/2) (k+ 1) (3k + 20) is true Now 10 + 13 + 16 ---------+ (3k + 7) = (1/2) k (3k + 17)__________is true thus , also true is :- 10 + 13 + 16 ----- (3k + 7) + (3k + 10) = (1/2) k (3k + 17) + (3k + 10) 10 + 13 + 16 ----- + (3k + 10) = (3/2) k² + (17/2) k + 3k + 10 10 + 13 + 16 ----- + (3k + 10) = (3/2) k² + (23/2) k + 10 10 + 13 + 16 ----- + (3k + 10) = (1/2) [ 3k² + 23 k + 20 ] 10 + 13 + 16 -----+ (3k + 10) = (1/2) [ k + 1 ] [ 3 k + 20 ] Thus P (k) is true for k = 1 and k = k + 1 Thus true for all k Thus true for k = n thus 10 + 13 + 16 + ------( 3n + 7 ) = (1/2) n (3n + 17)______ for all n Є N
    5 answers · Mathematics · 2 days ago
  • Intermediate Algebra Question Find the undefined Value and its domain. Requires work shown. f(x) = 3x - 7/x^2 - 25?

    Could it be that you ACTUALLY mean :- f (x) = [ 3x - 7 / [ x^2 - 25 ] ????? Use brackets. Undefined for x = ± 5
    Could it be that you ACTUALLY mean :- f (x) = [ 3x - 7 / [ x^2 - 25 ] ????? Use brackets. Undefined for x = ± 5
    3 answers · Mathematics · 3 days ago
  • Travis can paint a room in 9 hours. Andrew can paint the same room in 15 hours.?

    Let area to be painted = A m² Rate for Andrew = A/15 m²/h Rate for Travis = A/9 m²/h Combined rate :- A/15 + A/9 = 3A/45 + 5A/45 = 8A/45 m²/h Time = Area / rate = A / [ 8A/45 ] hours Time = 45/8 = 5 h 37½ min
    Let area to be painted = A m² Rate for Andrew = A/15 m²/h Rate for Travis = A/9 m²/h Combined rate :- A/15 + A/9 = 3A/45 + 5A/45 = 8A/45 m²/h Time = Area / rate = A / [ 8A/45 ] hours Time = 45/8 = 5 h 37½ min
    9 answers · Mathematics · 3 days ago
  • Why is this expression undefined?

    sec π/2 = 1 / cos π/2 = 1 / 0 ______undefined
    sec π/2 = 1 / cos π/2 = 1 / 0 ______undefined
    3 answers · Mathematics · 3 days ago
  • Solve the inequality in proper brackets?

    3x > 9 x > 3 3x < 21 x < 7 sol set is_____ { x : 3 < x < 7 }
    3x > 9 x > 3 3x < 21 x < 7 sol set is_____ { x : 3 < x < 7 }
    2 answers · Mathematics · 3 days ago
  • Find the exact value of the indicated trigonometric fuction of θ?

    r² = 9 + 4 = 13 r = √13 cos Ө = - 3 / √13 sec Ө = - √13 / 3
    r² = 9 + 4 = 13 r = √13 cos Ө = - 3 / √13 sec Ө = - √13 / 3
    3 answers · Mathematics · 3 days ago