Answers created by ProfLayton

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• What is the limit?
  
• The point (2,w) is on the graph of 2x−3y^2=1. What is the value of w?
  
• U-substitution: integral of e^(24x)/(1+e^(8x))?
  
• SinBtanB+sin(90°− B) how do I simplify this trig expression?
  
• Question #21fcb
  
• If the tangent at any point on the curve x^4+y^4=a^4 cuts off intercepts p and q on the coordinate axis the value of p^-4/3 +q^-4/3 is ?
  
• Solve question 39 ?
  
• Solve question 39 ?
  
• Can someone help me verify the identities for these please? Thanks!
  
• Question #0f1e0
  
• Question #5b977
  
• If #sin 2theta = 2sinthetacostheta#, what is #sin 50theta#?
  
• Question #e61aa
  
• Question #e61aa
  
• Question #0b5d8
  
• How do I determine the zeros of the quadratic? y= -5(x-2)(x-7)
  
• Question #7c036
  
• Is there a value of #x# such that #sin x = 3/2# ?
  
• Question #6a05b
  
• Question #d6ffd
  
• How do you evaluate #(sin^2 63 + sin^2 27)/(cos^2 17 + cos^2 73)#?
  
• Question #85875
  
• How do you solve #a^2=15a#?
  
• Question #7e3cb
  
• How do you solve #2cos^2x+3cosx=-1#?
  
• How do you write an equation of a line given slope 2 and passes through (0,-4)?
  
• How do you solve #6^ { x } = 3660#?
  
• Question #3c24d
  
• How do you use the sum to product formulas to write the sum or difference #cos6x+cos2x# as a product?
  
• How do you solve #9x ( 7x - 5) = 0#?
  
• How do you use the angle sum or difference identity to find the exact value of #tan(pi/6-pi/3)#?
  
• How do you find the exact values of the sine, cosine, and tangent of the angle #15^circ#?
  
• By considering #1+ cistheta + cis2theta + cis3theta + .... + cisntheta# as a geometric series, can you find: #sum_(r=0)^n cosrtheta#?
  
• Is #x+2# a factor of #p(x)=x^4+3x^3+4x^2-8#? Why?
  
• How do you graph #y – 2x< 4 #?
  
• What is the group of elements with the same number of valence electrons?
  
• Question #a455e
  
• What is the name of the ion #Cl^-#?
  
• What is the axis of symmetry and vertex for the graph #y=2x^2+4x-3#?
  
• Question #7cfc8
  
• How do you find the derivative of #f(x)=sqrt(a^2+x^2)#?
  
• How do you verify the identity #sec^4theta=1+2tan^2theta+tan^4theta#?
  
• How do you verify the identity #tanthetacsc^2theta-tantheta=cottheta#?
  
• What is the value of the expression #7 + 2(x-9)-(x+2)# when #x=-3#?
  
• How do you prove #Tan^2(x/2+Pi/4)=(1+sinx)/(1-sinx)#?
  
• The TV screen is 52 in. wide and 29 in. high. How do you find the length of of its diagonal?
  
• How do you prove # tan(x) /( 1+tan(x)) = sin(x) /( sin(x)+cos(x))#?
  
• How do you verify #(sin^3x+cos^3x)/(sinx+cosx)=1-sinxcosx#?
  
• For a geometric sequence, t8 = 60 and t6 = 72, how do you find t10?
  
• How do you graph #y=-1/4x-5#?
  
• How do you solve #9-9(x+5) - 7 = 9+3(9-3x)-81#?
  
• How do you verify #sec^2((pi/2)-x)-1=cot^2 x#?
  
• How do you find the slope given A(-3,2) and B ( 0,4)?
  
• How do you prove #(csc(t) + cot(t)(csc(t) - cot(t)) = 1#?
  
• Find the sum of the following number sequence: #2+4+6+8+10#?
  
• How do you prove #(1+sin theta)(1- sin theta) = cos^2 theta#?
  
• How do you prove #Sec(2x)=sec^2x/(2-sec^2x)#?
  
• How do you verify #[sin^3(B) + cos^3(B)] / [sin(B) + cos(B)] = 1-sin(B)cos(B)#?
  
• How do you solve #53^(x + 1) = 65.4#?
  
• How do you write an equation for a circle with center (-11, 3) and radius r = 9?
  
• How do you factor #-9r^2 + 81#?
  
• How do you solve #(5v) / 6 + 7 / 6 = 1 / 12#?
  
• How do you solve for y in #ax+by=c#?
  
• How do you simplify # 11 (x-y) + 5 (x-y) - 8 (x-y)#?
  
• How do you evaluate #-a ( a ^2 + 2a - 1)# for a = 2?
  
• Question #a0abc
  
• What is the distance between #(-1,7)# and #(2,12)#?
  
• How do you factor #a²+4b-ab-4a#?
  
• How do you determine three consecutive even integers such that the first times the third, is 4 less than 12 times the second?
  
• What is the standard form of # y= ( x + 3)(x + 3) #?
  
• What is the slope of the line passing through the following points: # (3/5,2) ; (2/10,5/4) #?
  
• How do you find the missing length for the right triangle below the short side is 9cm and the hypotenuse is 30 cm?
  
• How do you solve #7/2x=14# for #x#?
  
• How do you solve #3^(x+1) + 3^x = 36#?
  
• How do you evaluate #log_5 92#?
  
• How do you solve for x in #5^x=4^(x+1)#?
  
• Twila at the Baker's Dozen has 4 dozen eggs. She wants to make as many cakes as she can. She needs #1/3# dozen eggs for each cake. How many cakes can she make?
  
• How do you simplify #-3(x-5)#?
  
• Colin has a collection of 120 comic books. Seventy-eight of the comic books were damaged in a flood. What percent of the comic books were damaged?
  
• Two numbers are in the ratio 5:6. If the sum of the numbers is 66, what is the value of the larger number.?
  
• How do you find the midpoint of (5.6, -2.8), (8.1, 9.4)?
  
• What are three consecutive integers whose sum is 87?
  
• Question #0cfa7
  
• What is the slope and #y# intercept of #y=-6x-5#?
  
• If p = 0.75 and q = -1.6, evaluate: p + q - ( -0.7)?
  
• Alexis typed 54 words in one minute, which was 120% of what Tasha typed. How many words did Tasha type in one minute?
  
• How do you simplify # 8(5+x) -3x(x-3)#?
  
• How do you simplify the expression #(1/32)^(-2/5)#?
  
• S waves travel at about 60% of the velocity of P waves. P waves travel at about 6.1 km/s. What is the velocity of S waves?
  
• How do you simplify #((x-5)/(x+3)) /(( x-2)/(x+3))#?
  
• How do you simplify #- 5/6 - 1/x = -2/3#?
  
• How do you write the point-slope form of the equation that has a slope of #2# and passes through #(-1,4)#?
  
• How do you factor completely #a^4-b^4 #?
  
• How do you find the slope given (-3,2) and (3,6)?
  
• How do you simplify #sqrt74#?
  
• How do you simplify #root3(-150,000)#?
  
• How do you solve #6(y+2)-4=-10#?
  
• How do you determine whether the pair (1,8) is a solution of y= 5+3x?
  
• How do you divide #(m^2n^3)/p^3# by #(mp)/n^2#?
  
• Question #f6f93
  
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