Algebra question and answers for December 17, 2023
- Q Solve for x in tan x cscx - ?2 tan x = 0.A. x = 180k, x = 45 +180k, or x = 315 +180 kB. x = 360k, x...
- Q Given the vector u= (10?2, 10?2), find the magnitude and direction of u.Select the correct answer below:Olut= 10;0= 45Olut= 10;0= 135Out= 10:0=315Olut= 20;0= 45Olut= 20;0= 135"
- Q Prove the following identity: [4]cos (x)sin(2x)cos(2x)cot (2x) = 2-cos(x)csc(2x).2sin (x) cos(x)sin(2x)+ sin(x)csc(2x)
- Q A bacteria culture starts with 100 bacteria and grows at a rate proportional to its size. After 2 hoursthe population grows to 200 bactera.(a) Express the population A after t...
- Q Use the Law of Sines to solve (if possible) the triangle. If two solutions exist, find both. Round your answers to two decimal places. (If a triangle is not possible,...
- Q Let f(x) = 6x-8 and g(x)=x-4x+8. (If an answer is undefined, enter UNDEFINED.)(a) Find f(7)+g(7).(b) Find f(7)-g(7).(c) Find f(7)g(7).(d) Find f(7)/g(7).
- Q An object undergoes uniform linear motion on a straight path from point A to point B in At sec. Write parametric equationsover an interval I that describe the motion along...
- Q The solution of the following system of linear equation (SLE) is unique. True or false?x-y-z = 32x ? 3y + z = 23x - 4y = 5O TRUEO FALSE
- Q Assume that the recursively defined sequence converges and find its limit.a? = -20, an+1 = ?20+ anThe sequence converges to. (Type an integer or a decimal.)
- Q If f(x)=|4+x|?1 is not a one-to-one function, restrict the domain of the function toquarantee the existence of the inverse, and plot the graph of both functions onthe same same system...
- Q 4 burgers and 4 tacos cost $12,7 burgers 2 tacos cost $16.50 find the cost of 1 burgerand 1 taco.
- Q An amount of $4500 is invested at 12% interest, compounded daily.a. Find the future value in 8 years.b. Determine whether more or less money would have accrued if the money...
- Q An amount of $4500 is invested at 14% interest, compounded daily.a. Find the future value in 6 years.b. Determine whether more or less money would have accrued if the money...
- Q The angle of elevation to a nearby tree from a point on the ground is measured to be 74. How tall is the tree if the point on the ground...
- Q Rajani wants to use a sheet of fiberboard 31 inches long to create a skateboard ramp with a 19 angle of elevation from the ground. How high will the ramp...
- Q Mamadou leans a 18-foot ladder against a wall so that it forms an angle of 75with the ground. What's the horizontal distance between the base of theladder and the wall?...
- Q 7. (Periodic compounding) If $3,500 is invested at 4% interest compounded monthly, then how much will be in the account in 5 years? Setup an equation and solve. Label your...
- Q A giant tortoise can travel 0.14 miles in 1 hour. At this rate, how long would it take the tortoise to travel 3 miles?It would take the tortoise approximately(Round to...
- Q Given triangle ABC, angle A is 40 degrees, sides b = 7 m and a = 6 m. Find angle B.Round the angle(s) to two decimal places.
- Q Three moons are in the same circular orbit around a planet. The moons are each 98,000 kilometers from the surface of the planet, located at points A, B, and C....
- Q Solve the rational equation: 10m/m - 9+1/m-3=1/m+3Answer: m =Enter your answer as an integer or rational number in the form A/B, using.
- Q A parallelogram has sides of 20 cm and 30 cm with an angle of 80 between the two sides. What is the length of each of the diagonals?
- Q Nell has a sales clerk job that pays $12.00 per hour for regular work hours (less than or equal to 40 hours per week). She gets double time (or $24...
- Q If 20100 dollars is invested at an interest rate of 7 percent per year, find the value of the investmentat the end of 5 years for the following compounding methods,...
- Q Convert the angle 90 to radians. Give the exact value and use pi for ?.
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