Answers created by Vinícius Ferraz

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• How do you convert #9=(x-4y)^2-2y+x# into polar form?
  
• How to express 1/(1+zcos(x)) in the form of a+bi? Where z= cos(x) +i sin(x).
  
• At least how many terms in the GP 20+28+36+.... is greater than 1000 ?
  
• What is the solution set of #1/2 log_(7)x = 4 log_(7)2 - log_(7)4#?
  
• Find all solutions if 0° ≤ θ < 360°. Verify your answer graphically. (Enter your answers as a comma-separated list.)? #cos 3θ = 1#
  
• How do you evaluate #cos[2arcsin(7/25)]#?
  
• How will you solve this?
  
• How do I convert the equation #9x^2−y^2+54x+10y+55=0# to standard form?
  
• Find the square root of 4-3i?
  
• Can someone please explain this?
  
• There are 57 students in the class. The ratio of boys to girls is 4:15. How many boys need to leave the room so the ratio becomes 4:11?
  
• 2200 to manufacture 100 chairs and 4800 to manager facture 300 chairs.Assuming the relationship is linear,find an equation that expresses this relationship?
  
• How does (k+2)(k+1)!-1 simplify to (k+2)!-1?
  
• There are 172 South American animals in the Springdale Zoo. That is 45 more than half the number of African animals in the zoo. How many African animals are in the zoo?
  
• The letters x and y represent rectangular coordinates. Write the equation using polar coordinates (r, θ). xy = 1 Answer choices: A) r sin 2θ = 2 B) 2r sin θ cos θ = 1 C) r^2 sin 2θ = 2 D) 2r^2 sin θ cos θ = 1 Could you explain to me how to solve this?
  
• For #y = 5 + 8x# when # x = 4# , what does #y# equal?
  
• How do you solve #log_3(2-3x) = log_9(6x^2 - 9x + 2)#?
  
• Mary is twice as old as John and half as old as Bob. In 22 years' time, Bob will be twice as old as John. How old is Mary?
  
• Is every square similar to every other square? Why or why not?
  
• Positive integer of multiples of 8. If we add 3 it becomes a multiplication of 7. If we put it 2 it became a complication 11. What is this number ?
  
• If an angle is in standard position and P(-3,4) is a point on the terminal side of , what is the value of sin?
  
• The terminal side of #theta# in standard position contains (0,-4), how do you find the exact values of the six trigonometric functions of #theta#?
  
• How do you solve #(42- x ) ( 25- x ) = 500#?
  
• How much time has elapsed between 3 hours 12 minutes 35 seconds and 7 hours 54 minutes 34 seconds?
  
• The sum of three consecutive numbers is 84 What is the smallest of the three numbers?
  
• How to find transformation matrix when the centre of rotation of a diagram is not the origin?
  
• For #f(t)= (t^3-t^2+1,t^2-t)# what is the distance between #f(2)# and #f(5)#?
  
• The tangent line to the graph of #y=2x^2−3x+1# at the point #P(a,b)# is parallel to the line #y=5x#. This tangent line crosses the x-axis at #(d,0)#. How do I find the value of #d#?
  
• What is the domain and range of #y =sqrt(tanx)#?
  
• Given that #sinθ = 0.6820# and that #θ# is in quadrant III, find #sin2θ# and the quadrant in which #2θ# lies?
  
• Can someone please help solve this question (with a diagram)?
  
• How do I use a graphing calculator to find the roots of the polynomial equation #x^4-5x^3+11x^2-25x+30=0#?
  
• The avg of a list of 4 numbers is 90. A new list of 4 numbers has the same first 3 numbers as the original list, but the fourth number in the original list is 80, and the fourth number in the new list is 96. What is the avg of this new list of numbers?
  
• What is the value of \log \sqrt[5]{10}log ​5 ​​ √ ​10 ​ ​​ ?
  
• How do you graph and solve #|x + 2| ≤ 3#?
  
• Neptune's average distance from the Sun is #4.503 * 10^9# km. Mercury's average distance from the Sun is #5.791 * 10^7# km. About how many times farther from the Sun is Neptune than Mercury?
  
• How do you use area models to divide #845 div 13#?
  
• A plane flies in a direction of 85 degrees from Chicago. It then turns and flies in the direction of 200 degress for 150 miles. It is then 195 miles from its starting point. How far did the plane fly in the direction of 85 degrees?
  
• How can I determine the minimum degree of the equation as well as write the equation in general form given the roots -2i, 3i and -2±i(sqrt^(3)), 4?
  
• How do you graph using x and y intercept of #x+2y-5=0#?
  
• Which of these equations represent functions where x is the input and y is the output?
  
• What is meant by a geometric sequence?
  
• How do you solve #5^(2x-1) = 7^(2x)#?
  
• A equilateral triangle measures 3 1/2 inches on one side. what is the perimeter of the triangle?
  
• How do I write 5(to the power of 8) as a quotient of 2 exponentialterms with the same base in 4 different ways by using only positive non zero exponents?
  
• How to find x and y?
  
• There are 3 times as many pears as oranges. If a group of children receive 5 oranges each, there will be no oranges left over. If the same group of children receive 8 pears each, there will be 21 pears left over. How many children and oranges are there?
  
• Three times the sum of 13 and a number is the same as 7 times the number decreased by 9. what is the number?
  
• If the point(x,14)divides the line joining the points (7,11) and (-18,16),find the value of x?
  
• How many different permutations are there of the letters in the word MISSISSIPPI?
  
• At the beginning of the day, the sum of the stocks in the Dow Jones was $10,245.31. At the end of the day, the sum of the stocks in the Dow Jones was $10,165.79. What was the rate of change of the Dow Jones on this particular day?
  
• How do you write the phrase "the quotient of 14 and the difference between 7 and -7" as a mathematical expression?
  
• What is the derivative of y=sin(tan2x) ?
  
• How do you find the LCM of #d+2, (d-2)^2#, and #d^2-4#?
  
• How do you proof this?
  
• Find the volume?
  
• How do you simplify (3 sqrt(2) + 2 sqrt(5))(4 sqrt(2) - sqrt(5))?
  
• What is PC?
  
• A 9-ounce bag of chocolate costs $3.78. A 14 ounce bag of the same candy costs $5.04. What is the difference in the cost per ounce?
  
• Check whether there exists a continuously differentiable function #g# defined by #f(x,y)=0# in the neighborhood of #x=3#, such that #g(3)=1/3#. Find #g'(3)#, if it exists?
  
• Using the first principles, find the derivative of #y=(3-x)/sqrt(2-x)# at x=-2?
  
• If #x/a=y/b=z/c#; calculate: #(ax+by+cz)/(a^2+b^2+c^2)- (x^2+y^2+z^2)/(ax+by+cz)# ?
  
• The sum of two numbers is 20. What is the least possible sum of their squares?
  
• Write an equation for the nth term of the arithmetic sequence 12, 14, 16, 18, ...?
  
• Triangle A has sides of lengths #18 #, #12 #, and #21 #. Triangle B is similar to triangle A and has a side of length #24 #. What are the possible lengths of the other two sides of triangle B?
  
• If #A = <5 ,4 ,8 >#, #B = <2 ,-7 ,6 ># and #C=A-B#, what is the angle between A and C?
  
• Can someone please help me to convert 2,8hours to hours, minutes and seconds ?
  
• The ratio of cars to trucks was 9 to 5 if there were 414 cars how many trucks were there?
  
• A king comes from a family of three children. What is the probability he has a brother?
  
• Verify that all members of the family y=(c-x^2)^(-1/2) are solutions of the differential equation y'=xy^3. Can anyone help me with this please?
  
• When multiplying radicals with different indexes do they add?
  
• Recall the definition of a polynomial expression. Find two polynomial expressions whose quotient, when simplified, is 1/x ?
  
• How do you divide #(x^5-3x^3+ 3x +2)/((x^2-1)(x+2)#?
  
• How do you divide #(2x^3-x^2-3x+1)/(x+2)#?
  
• How do you divide #(4x^2 + 2x -5) / ( x - 3 ) # using polynomial long division?
  
• What is the definition of the Inverse Sine Function?
  
• The number of toys in the closet vary inversely with the number of children in the room. If there are 28 toys in the closet when there are 4 children in the room, how many toys are in the closet when 7 children are in the room?
  
• John has four more nickels than dimes in his pocket, for a total of $1.25. Which equation could be used to determine the number of dimes, 𝑥 , in his pocket?
  
• At a baseball game, Henry bought 5 hot dogs and 3 bags of chips for $14.82. Scott bought 7 hot dogs and 6 bags of chips for $22.89. What is the cost of one hot dog and one bag of chips?
  
• For #z^5 = 1 + i#, solve the complex number?
  
• How do you find the domain of #f @ g# given #f(x)= sqrt(x-1)# and #g(x)= 1/(x-7)#?
  
• What are the four roots of the following complex polynomial?: P(z) = z^4 - 2z^2 + 4
  
• Ben prints a picture at home using computer software. The photo he prints has a length of 6 inches and width of 4 inches. The ratio of the size of the new picture to that of the original is 1.5 to 2. What is the length and width of the new picture?
  
• The expression 2x^3-x^2+ax+b gives a remainder of 14 when divided by(x-2) and a remainder of -86 when divided by (x+3)/Find the values of a and b?
  
• The #r_("th")# term of a geometrical series is #(2r+1)cdot 2^r#. The sum of the first #n# term of the series is what?
  
• How do you evaluate #56^2# using special products?
  
• 22 is 44% of what number?
  
• The doubling time a type of bacteria is 35 minutes. If every bacterium reproduces, then after 35 minutes a population of 64 bacteria approximately to what size?
  
• How to solve #log _{x}36+log _{18}3x = 3# ?
  
• Can you provide the solution please?
  
• What is the vertex of #y=2x^2+6x+4#?
  
• If x is a positive number, by how much does x+10 exceed 10-x?
  
• A triangle has sides with lengths: 7, 9, and 15. How do you find the area of the triangle using Heron's formula?
  
• Find the angle, θ, between the vectors. u = <3, 2> , v=<4, 0> ?
  
• In right triangle #PQR, PQ=15, m/_Q = 90°#, and #QR=8#. What is the measure of #/_P# to the nearest degree?
  
• How do you write: the quotient of -128 and twice 32 is equal to -2?
  
• At what point does the graph of the parametric equations x=3-2t y=-2+5t intersect the graph of the parametric equations x=-1+3s y=5-9s? The answer is the point of intersection(x,y).
  
• #y=2x-4y" "and" "4x+1=10y+9# would you solve by substitution or elimination? What is the solution?
  
• If y varies inversely as x, and y=14 when x=7, how do you find y when x=10?
  
• How do you integrate the following function?
  
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