Algebra question and answers for December 15, 2023
- Q Researchers have shown that the number of successive dry days that occur after a rainstorm for a particular region is a random variable that is distributed exponentially with a mean...
- Q Let V be any vector space (potentially infinite dimensional). Prove that (V/W)* ~ W^o
- Q Consider F and C below.F(x, y, z) = yze^xzi + e^xzj + xye^xZk,C: r(t) = (t + 2)i + (t ? 1)j + (t ? 5t)k, 0 ? t ?...
- Q A bank has set aside a maximum of $25 million for commercial and home loans. Every million dollars in commercial loans requires 2 application forms while every million dollars in...
- Q Alice deposits $500 in her account at the rate 6% compounded annually. What will be the amount in her account after 8 years? Round off the answer to the nearest...
- Q jessica replaces letters in the calculation SW-EE+T with numbers 5,11,13,18,19 and then calculates the result. The same letters are replaced by the same numbers and different letters by different numbers....
- Q The perimeter of a rectangle is 72 cm and the width is 13 cm.What is the length of the rectangle?Round to the nearest tenth if necessary.
- Q Paloma pays $42 to join the ski team. She pays $12 each time she enters a competition.Describe the domain and range of this situation.Domain is all natural numbers greater than...
- Q You are driving on the interstate, keeping up with the speed of traffic. Suddenly, you are hit with torrential rains. You cannot feel the road beneath your tires anymore. You...
- Q What is the corresponding system of equations?X? + x2 + x3 S? = 75x? + x2 + x3 S? = 48X? + X2 S3 = 53(Type + if...
- Q Testsupposethatfor five years at 6% toward thepurchase of a car.youbarrow $11,000Use PMT= P( =)[L-(H+)to find the monthly paymentsand total interest for the loan.The monthly payment is $cent-)(Do not round until...
- Q Determine whether the function is one-to-one. If it is, find a formula for its inverse.3f(x)=x-8...Is the function one-to-one?O YesO NoSelect the correct choice below and fill in any answer boxes...
- Q Find sin 2x given that cos x =Give exact solution.513and x is in quadrant IV.
- Q QuestA. How much money would you need to invest today at 4.5% annual interest compounded quarterly to have $10,000 in 30 months?(Accurate to the nearest dollar.}B. You have $20,000 today...
- Q The exponential function N= 2000 x 1.75%, where d is measured in decades, gives the number of individuals in a certain population. (Round decimal answers to two decimalplaces unless otherwise...
- Q Find all solutions of the equation 2 sinz - cos x = 1 in the interval [0, 2m).The answer is 2? = 0x? =with 1 <2< 23.and 23 =
- Q A Room is 200' long and 150 wide and the 8' highcelling is smooth and flat. A spot type heat detector hasbeen selected that is listed for a 50 maximum...
- Q Use the cofunction identities to find an angle 0 between 0 and 90 that makes the statement true.csc0sec(40+50)=8== (Type an integer or a simplified fraction.)BOX
- Q Solve for t.e^-0.13t = 0.47Select the correct choice below and, if necessary, fill in the answer box to complete your choice....A. t=B. The solution is not a real number.
- Q Rewrite 6 sin(x) + 4 cos(x) as A sin(x + ?)
- Q Given the two points (1,12.5) and (2,15.625), find the equation of the exponential function that passes through these two points.
- Q For any n, nj means the product of all the positive even integers before n For example, 18j=18*16*--*2 What is the greatest prime factor of 22j+20j?
- Q In the equation y =56/x, y varies inversely as x. When x = 7, y = 8. What is the value of y when x = 14?When x = 14,...
- Q Consider the sequence defined recursively by s? = 1 and sn= s n-1 + 2(n-1) for n ? 2.(a) Give the first four terms of the sequence, s1, s2, s3...
- Q Let f=((-4,2), (-1,4), (3,0)) and g=((-3,3), (1,3), (2.-7), (4,-1)). Find fog.fog=(Use a comma to separate ordered pairs as needed.).
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