Basic Math question and answers for August 02, 2024
- Q The graph shows the velocity, in feet per sec, of an object moving horizontally. A positive velocity represents movement to the right. Negative velocities represent movement to the left. What...
- Q Jose's teacher announces that the scores on their most recent Algebra test were normally distributed. The mean score was 72 and the standard deviation was 8. When Jose receives his...
- Q A clothing company determines that its marginal cost, in dollars per dress, is given by the function below. Find the total cost of producing the first 210 dresses, disregarding any...
- Q Find an equation of the line with the given slope and containing the given point. Write the equation using function notation. Slope -6; through (1,6) The equation of the line...
- Q A tennis player hits the ball with an initial speed of 62 feet per second at an angle of 15, from a height of 2.2 feet. How far away does...
- Q You have $ 42,000 to invest. You invest seven times as much into investment A as you do investment B. How much money goes into investment A?A. $ 36,000B. $...
- Q A ship leaves port on a bearing of 35.0 and travels 12.4 mi. The ship then tums due east and travels 3.9 mi How far is the ship tom port,...
- Q Set up a simplex matrix (or simplex tableau) for the following standard maximization problem.Find the maximum value of f = 2x + 4ysubject to the constraints3x + 4y ? 24x...
- Q A test of significance produces a p-value of .03. Which of the following conclusions is appropriate?Reject H, at a significance level of 5%Accept Ho at a significance level of 5%Reject...
- Q Angle C is a right angle. Solve each triangle rounding to the nearest tenth.mA = 53, c = 13.3m/B = 37, a = 10.6, b = 7.7m/B = 37, a...
- Q A road is inclined at an angle of 2. After driving 5050 feet along this road, find the driver's increase inaltitude.The driver's increase in altitude is
- Q Solve the following system of equations using a method of your choosingy=-3x+55x - 4y=-3A. The solution is (1,2) OB. The solution is (2,1) C. The solution is (0,0) D. The...
- Q Interpret a p-value of 0.005.This means that there is 0.005 probability for the null to be falseThis means that the probability for observing the test statistic is 0.005 if the...
- Q A test of significance produces a p-value of .06. Which of thefollowing conclusions is appropriate?Fail to reject Ha at a significance level of 5%Fail to reject Ho at a significance...
- Q Determine whether the following system of linear equations has no solution, only one solution, or infinitely many solutions. If the system has only one solution, find that solution. Selecting an...
- Q Dana shoots a basketball at an angle of 45 from the horizontal. It leaves her hands 6 feet from the ground with a velocity of 27 ft/s. Step 3 of...
- Q Convert the point from polar to Cartesian coordinates. Write your answer in the simplest form or rounded to the nearest hundredth.
- Q Solve the equation: 3 - 121x = 0 Answer: I = Write your answers as a list of integers or reduced fractions, with your answers separated by (a) comma(s). For...
- Q Solve the equation 10z - 9z+ 2 = 0. Answer: z = Write your answers as a list of integers or reduced fractions, with your answers separated by (a) comma(s)....
- Q Emily and Beth each improved their yards by planting hostas and ornamental grass. They bought their supplies from the same store. Emily spent $81 on 4 hostas and 3 bunches...
- Q Points that quit (H). In the diagram to the left, find a point whose iterations hit the diagonal in three different points and then remain fixed.
- Q FIND THE ANGLE Measure INDICATED. assume THAT LINES WHICH appear TO BE TANGENT are TANGENT.
- Q Solve the compound inequality.-4xs-12 or 2x-262-12Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A. The solution set isB. The solution set is...
- Q Solve the compound inequality.-14?4x-6? 10Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A. The solution set isB. The solution set is .
- Q How long will it take for $4,200 to grow to $52,500 at an interest rate of 6.1% if the interest is compounded continuously? Round the number of years to two...
- Q Kelsey has p pennies and n nickels that add up to more than 40 cents. She has no more than 50 coins altogether. Write a system of inequalities that represents...
- Q A research group polls 120,000 Americans to find the mean income of people under 30 is $36,450. That $36,450 represents aproportionstatsticstandard deviationparameter
- Q Every hour the number of bacteria in an experiment increase at a rate of 25%.If there were 100 bacteria present at the beginning of the experiment, how many bacteria will...
- Q Christine went shopping and bought each of her nine nephews a gift, either a video costing $14.95 or a CD costing $16.88. She spent $136.48 on the gifts. How many...
- Q Graph f(x)=x2-4Identify any positive intervalsA. The interval (-2,2) is positive OB. The intervals (-2,0) and (2,0) are positive OC. The intyerval (-4,0) is positive D. The intervals (-?, -2) and...
- Q Find the area of the region enclosed by f(x) and the x-axis for the given function over the specified interval.x+3x+4 x<1
- Q Every year, Danielle Santos sells 120,366 cases of her Delicious Cookie Mix. It costs her $1 per year in electricity to store a case, plus she must pay annual warehouse...
- Q Graph the solution of the system of linear inequalities.y |< 4x-4y >| x+3Use the graphing tool to graph the inequality.Click to enlarge graph
- Q The wingspans of a common bird are normally distributed with a mean of 6 inches. Suppose that a local zoo regularly collects random samples of size 15 for this bird...
- Q Graph the solution of the system of linear inequalities.5x-2y ? 10y ? -3Use the graphing tool to graph the solution. Click to enlarge graph the solution.
- Q Consider the integral which of the following is the resulting integral. You do not need to evaluate this integral.
- Q Graph the solution of the system of linear inequalities.x ? 5yx+4y ? 4
- Q An arrow is shot from a bow at a rate of 160 mph at an angle of 25 from the horizontal. The bow sits on a platform 5 feet above...
- Q Benji has $3,100 in a savings account which earns 7% interest compounded quarterly. He made noadditional withdrawals or deposits. What was the amount in the account after two quarters?$3,209.45$3,219.55$3,199.44$3,290.54
- Q Solve the compound inequality.2(x-4) <4 orx+6>11Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A. The solution set isB. The solution set is...
- Q Solve the compound inequality.5<x-15<8Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A. The solution set is(Type your answer in interval notation. Simplify...
- Q A manufacturer has a steady annual demand for 16,000 cases of sugar. It costs $10 to store 1 case for 1 year, $32 in set up cost to produce each...
- Q Solve the compound inequality.-3x?-12 or 3x-302 - 12Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A. The solution set isB. The solution...
- Q Graph the solutions of the given system of linear inequalities.y<5x -5y?x+4
- Q Using a significance level of 5%, what conclusion can we make?Fail to reject the null hypothesisAccept the alternative hypothesisReject the null hypothesisnot enough information
- Q Graph the following inequality.y?1Use the graphing tool to graph the inequality.
- Q A caravan of camels has a growth rate of 17%. If the initial population is 230 and we assume an exponential growth model, which of the following models the camel...
- Q Mark and Don are planning to sell each of their marble collections at a garage sale. If Don has 6 more than 3 times the number of marbles Mark has,...
- Q Solve the compound inequality.x< 1/1 orx>-1/3Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A. The solution set isB. The solution set is...
- Q Solve the compound inequality.-5x? - 10 or 2x-222 - 12Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A. The solution set isB....
- Q The savings in a bank account can be modeled using S=1250e045t, where t is the number of years themoney has been in the account. Determine, to the nearest tenth of...
- Q Given the lines I?:x = 3+ty = 9-2tz = 5t - 8and I2: x = 6-5ty = 9+tz = 4t - 8(a) find equations (in general form) for the parallel...
- Q A bank operates both a drive-up facility and a walk-up window. On a randomly selected day, let X be the proportion of time that the drive-up facility is in use...
- Q The area of the region that lies to the right of the y-axis and to the left of the parabola x = 2y - y2 (the shaded region in the...
- Q Three million E. coli bacteria are present in a laboratory culture. An antibacterial agent is introduced and the population of bacteria P (1) decreases by half every 3 hr. The...
- Q Simplify completely, assuming both x > 0 and y> 0: ?36xy?Select the correct answer below:36xy4?36xy6xy ?xy36xy6?36xy26xy6 ?6xy6xy ??xy216xy4?6xy3
- Q Graph the solution of the system of linear inequalities.x 4yx+3y?6
- Q Compound interest is given by the formula A P(1 + r). Where A is the balance of the accountafter t years, and P is the starting principal invested at an...
- Q Solve the compound inequality.6-x> 11 and 3x + 1 ?10Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A. The solution set isB....
- Q We want to know what percent of people get their coffee from a gas station. A random sample of 50 people found that 20% had gotten their coffee from the...
- Q Graph the solution of the system of linear inequalities.(3x-2y?6y?-5Use the graphing tool to graph the solution.Click to enlarge graph
- Q Together, Kali and Geoff bake 10 pies for the bake sale in 2 hours. Then they make another 6 pies, but Kali works for 45 minutes while Geoff works for...
- Q Determine all the solutions to ?/1+4?x = 1 + ?x.x=0x=4x = 0 and x = 4no solution
- Q Many large farms use center pivot irrigation, which involves a sprinkler rotating around a central point, as shown in the figure. A particular system uses a sprinkler that is 120...
- Q Solve the compound inequality.3x+6?-9 and 2x?0Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A. The solution set of the compound inequality isB....
- Q A golden rectangle is said to be one of the most visually appealing of all geometric forms. The front of the Parthenon, built in Athens Greece in the 5th century...
- Q The sum of a number and 8 is 14. Write it as an equation.x+8 = 145+x=14x=14+2
- Q Trisha's car cost $10,900. She has enough money to make a down payment of $1,000. Her monthly payments are $250 for 48 months. True or False: The deferred price is...
- Q You decide to begin selling caramel apples at the local swap mart. Your cost for each caramel apple is$1.40 plus you have to pay a fixed weekly fee of $230...
- Q Alice and Wyatt depart Alice's house at the same time. Alice drives due North at 30 mph and Wyatt drives due East at 40 mph. One hour later, Alice will...
- Q Suppose that the following information is known about a function g(x):(b) (2,4)(c) (2,8)g(1)=2 g(2)=4 g(3) =-1g'(1) -2 g'(2)=0 g'(3)=Which of the following are critical points of the function f(x)=xg(r)? Choose...
- Q Solve the inequalityx +4| < |x| Hint: use the fact that |x| = ? and x + 4 = ?(x+4) so x +4|< x implies ?(x+4) <?x impying further that...
- Q Solve the inequality|3x2| < 5A) (3,7)B) (-1,7/3)C) (1,7/3)D) (-1,3/7)E) (-?, -7/3) U (-1, ?)
- Q Describe what fixed costs and marginal costs mean to a company.Choose the correct answer below.A. Fixed cost is the rate of change of cost C(x) at the level of production...
- Q A person who exercises regularly has 164 % body fat bymass. If this person weighs 29 pounds, what is the mass, inkilograms, of body fat? Please make sure to include...
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