Algebra question and answers for July 02, 2023
- Q Express as a product.log 10t-7
- Q PqExpress log b p2q7/m33b8 in terms of sums and differences of logarithms.
- Q Rewrite as sums or differences of logarithms.In (x7y3z)
- Q Find the solution region (ie, the graph) of each system of linear inequality (inequalities). (Hint: Ex in P. 2-5 of Ch 3.1 in LN).a. 3x + 4y ?7.b. 3x-2y ?10.c....
- Q Bob chooses the secret primes p = 5 and q = 11.Bob chooses the encryption exponent e = 3.Bob publishes N = 55 and e = 3.If Bob receivers the...
- Q 4. Elena bikes 20 minutes each day for exercise.Write an equation to describe the relationship between her distance in miles, D, and her biking speed, in miles per hour, when...
- Q Write an expression having only two terms that is equivalent to 2x-3. Explain how you wrote the expression and how you can check that it is equivalent.
- Q Solve the system of equations.2x-6y=68x-24y=27Select the correct choice below and, if necessary, fill in the answer box to complete your choiceA. There is one solution. The solution of the system...
- Q Find the LCD of the following. Do not combine fractions.6/5x-355/ 6x-42The LCD is
- Q Let R have the Euclidean inner product. For which values of k are u and v orthogonal?u=(6,7,4) and v=(8, 2, k)
- Q A student has started a lawn care business. He charges $15 per hour to mow lawns and $20 per hour for gardening. Because he is still in school, he is...
- Q Algebra Q2. If y = cle 3x + c2e-3x is a solution of the ODE y" - 9y = 0, find a solution of the IVP y" - 9y =...
- Q 9) Use a probability tree: 85% of Americans have dental insurance. Of those that havedental insurance, 68% see the dentist for regular check-ups, but 46% of those withoutdental insurance go...
- Q 3. Verify the identity. Show the steps or no credit will be earned.sec? sin? cot? = 1
- Q Functions that repeat over time are common in every day life. The English language has many words that stand for common periods of time. State the period of time from...
- Q Olsen Outfitters Inc. believes that its optimal capital structure consists of 60% of equity and 40% of debt, and its tax rate is 30%. Olsen must raise additional capital to...
- Q The traffic-control monitor on the freeway shows 200 vehicles per minute passing the camera in 5 minutes. Of those vehicles, on average, 125 have one passenger, 60 have four or...
- Q Determine whether to use a permutation or combination to solve the problem.How many different orders can you choose to read six of the nine books on your summer reading list?How...
- Q A fair number cube is tossed. Find P(even or more than 1). Write your answer as a fraction in simplest form (a/b).
- Q Mrs. Jackson is a history teacher. To choose two students at random, she decides to choose the tallest and the shorteststudents in the class.Mrs. Jackson's strategy resulted in a fair...
- Q Draw the following15) Irregular 16-gon 16) vertical angles17) Rectangle
- Q A 55# child has an order for Dilantin (phenytoin) 7 mg/kg/day to be given in divided doses q12h. The medication available is Dilantin Suspension 125 mg/5 mL in an fl...
- Q You have been asked to interpret thissymbolic logic. In x?5Ax>3, what value of xwill this be false?3456
- Q If /theta= 60 degrees, find the exact value of the following. Sin^2(/theta)
- Q In a survey at a university 56% of students say that they got less than the recommended eight hours of sleep per night. In a group of 4800 students, how...
- Q You should rotate tires on a car at regular intervals. In how many ways can four tires be arranged on a car?
- Q You and your friends are picking up videos at a video store. You have selected 7 videos but will only have time to watch 3. How many different ways can...
- Q A class tossed coins and recorded 161 heads and 179 tails. What is the experimental probability of heads? Write the answer as a fraction in form a/b.
- Q A manufacturing company performs a quality- control analysis on the ceramic tile it produces. Suppose a batch of 15 tiles has 4 defective tiles. If 3 tiles are sampled at...
- Q Use the formula for Pr to solve the following question.At a benefit concert, eight bands have volunteered to perform but there is only enough time for six of the bands...
- Q Out of four games, team A has won one game and team B has won three games in a championship series. What is the experimental probability that team A wins...
- Q What is the probability of rolling 6 on a fair number cube and flipping a coin and getting tails? Write your answer as a percent rounded to the tenths place....
- Q If A and B are mutually exclusive, and if P(A) = 32% and P(B) = 35%, what is P(A or B)?P(A or B)=
- Q S and T are mutually exclusive events. Find P(S or T).P(S)=5/8P(T) = 1/8P(S or T) =d to three decimal places as needed)
- Q Telephone numbers are preceded by a 3-digit area code (e.g. 437). In the followingquestions, any digit from {0, 1, 2, 3, 4, 5, 6, 7, 8, 9) can be used...
- Q S and T are mutually exclusive events. Find P(S or T). Write your answer as a fraction in simplest form (a/b).P(S) = 3/5, P(T) = 1/3
- Q In a group of 11 students, there are 6 females and 5 malesHow many different 4-member committees are possible if there are no restrictions?How many different 4-member committees are possible...
- Q A ski resort has 3 chair lifts, each with access to 6 ski trails. Explain how you can find the number of possible outcomes when choosing a chair lift and...
- Q Find the domain of the rational function. f(x) = 7x /11-x
- Q A class rolled number cubes. Their results are shown in the table. What is the experimental probability of rolling each number?
- Q A group of 30 students from your school is part of the audience for a TV game show. The total number of people in the audience is 150. What is...
- Q Baby Ethan wants to arrange 9 blocks in a row. How many different arrangements can he make?
- Q Assume that 3 customers arrive and order different appetizers to share from a choice of 12 appetizers.a. Does this problem involve permutations or combinations?b. Why?c. In how many possible ways...
- Q To create an entry code, you must first choose 3 letters and then, 4 single-digit numbers. How many different entry codes can you create?
- Q explain in words why three forces must lie in the same plane when they are acting on an object in equilibrium
- Q You want to be able to withdraw $40,000 each year for 30 years. Your account earns 6% interest.a) How much do you need in your account at the beginning?b) How...
- Q Mr. Anderson put $1000 into an account that earns 4.5% annual interest. The interest is compounded annually and there are no withdrawals. How much money will be in the account...
- Q Suppose Alice encrypted an existing English word using Hill cipher with a 4 x 4permutation matrix as the key. The obtained ciphertext isTHMA.Find the matrix that was used as the...
- Q A population has the following characteristics.(a) A total of 75% of the population survives the first year. Of that 75%, 25% survives the second year. The maximum life span is...
- Q Suppose you deposit your graduation cash gifts into an account that pays 4% annual interest compounded continuously. If you are 18 when you graduate, get $1000 in cash gifts and...
- Q Consider the following function and point.F(x) = (x + 2)/(x-2)? (3,5)(a) Find the derivative of the function.f'(x) =Find f'(x) when x = 3.f'(3) =Give the slope of the graph of...
- Q How many people must be chosen from 17couples to be sure atleast one couple isincluded?a. 18b. 17c. 2d. 3e. 34
- Q From a deck of 52 cards, how many 5 cards tobe formed to be formed to have two pairs ofthe same numbers example(two"l0s", and two"Qs or "2s" and two "S"sa.109824b.6864C.247104d.123552e.27456
- Q Consider the following random sample of data:2, -9, 3, -10, 5, -7, 9, 1, 4, 87a) What is the mean of the sample data?b) If the outlier is removed, what...
- Q If light travels at a speed of 3 x 10? m/s, and remembering the formula distance = speed x time. (or d = v*t), calculate the distance traveled by light...
- Q What happens to the input when you plug it in? Find expressions for the composite functions (MG) (t) and (Go M)(r). Explain in words what happens to your input when...
- Q Describe the transformation of the parent function y = 2*.
- Q Give the version of the Parallel Postulate as used in Euclidean geometry, beginningthe statement with, "Given a line and a point P not on,..."Now show how to change this statement...
- Q Find all solutions to sin (x + 4) + sin(x-4)=0 on [0, 2?).Enter the answer in terms of , as needed. Do not enter a decimal approximation.
- Q Two sides of a right triangle ABC (C is theright angle) are given. Find the indicatedtrigonometric function of the given angle.Give exact answers with rationaldenominators.Find sin B when b =...
- Q If2-?3 is a root of a polynomial with integer coefficients, which of the following is another root?2?33-?22+?3?3-2
- Q A garden has width /13 and length 7/13. What is the perimeter of the garden in simplest radical form?Select one:O a. 16?13O b. 91O c. 8?13Od. 14v13
- Q When x? - 16 is factored completely, one of the factors will be
- Q 2. Use the Law of Cosines to determine theindicated angle O. (Assume a = 136.5, b = 59.2,and c = 160.5. Round your answer to the nearestdegree.)0 =
- Q Write a rate in simplest form for earning $171 in 18 hours.
- Q Express the proposition as an English sentence and determine whether it is true or false, where p and q are the propositionsp: "9.9=81" q: "8.10<7.11The contrapositive of p ?qA. If...
- Q We distribute 30 indistinguishable toy cars to 3 people (say, A, B, and C). How distinguishable many ways can we do this so that no people get precisely 10 toy...
- Q Dylan has 7 soccer trophies. He can only fit 4 trophies in a row on his display shelf. In how many different ways can Dylan arrange the trophies on the...
- Q Samantha is arranging the letters in the word "MUSICAL." How many different 7-letter arrangementscan she make if she must use all seven letters each time?Select one:O 5040O 7O823,543O28
- Q (a) How many black playing cards must be drawn from a single deck of cards to be sure that at least two are the same suit?(b) How many black playing...
- Q A hole is cut through the center of a thick sheet of metal. The metal is 8.5mm thick,10cm long and 13cm wide. The hole was 4cm wide. Find the weight...
- Q Five thousand tickets are sold at $1 each for a charity raffle. Tickets are to bedrawn at random and monetary prizes awarded as follows: 1 prize of $500, 3 prizes...
- Q On three rolls of a single die, you will lose $14 if a 3 turns up at least once, and you will win $8 otherwise. What is the expected value...
- Q Which of the following situations can be modeled with a periodic function?the height of a football after it has been thrownthe height of a person riding on an escalatorthe height...
- Q Write an algebraic equation to represent the given information. Let x be the first number and y be the second numberThe first number is 2 less than twice the second...
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