Basic Math Questions and Answers

A coffee company has found that the marginal cost, in dollars per pound, of the coffee it roasts is represented by the function below, where x is the number of pounds of coffee roasted. Find the total cost of roasting 110 lb of coffee, disregarding any fixed costs. C'(x)= -0.023x + 5.50, for x ≤ 200 The total cost is $

Find the area, if it is finite, of the region under the graph of y=6x5 e over [0,00). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The area of the region is. (Type an exact answer.) B. The area is not finite.

Which of the following statements are true about the point of concurrency of the perpendicular bisectors of a triangle? I. For a right triangle, the point of concurrency lies on the triangle. II. For an obtuse triangle, the point of concurrency lies inside the triangle. III. For an acute triangle, the point of concurrency lies outside the triangle. I and III I only Ill only II only none of these

The slope of the function is -4 and y-intercept is reciprocal of the slope. Which of the following represents the linear function? 16x-4y=1 4x + 16y=1 16x + 4y = -1

"If AB + BC = 24 and AB = 10, then 10 + BC = 24" is an example of the ? Symmetric property of equality Addition property of equality Subtraction property of equality Reflexive property of equality Substitution property of equality

Solve the triangle. Round to the nearest tenth. O m∠A = 45°, m∠B = 45°, c = 7.1 O m∠A = 41.4°, m∠B = 48.6°, c = 7.1 O m∠A = 42.8°, m∠B = 47.2°, c = 7.1 Om∠A= 47.2°, m∠B = 42.8°, c = 7.1 O None of the other answers are correct

Solve the triangle. Round to the nearest tenth. In ABCA, mZB = 114°, a = 13, b = 35.3 mZC = 46.3°, m<A = 19.7°, c = 27.9 mZC = 46.3°, m<A = 19.7°, c = 26.5 None of the other answers are correct mZC = 49.6°, mZA = 16.4°, c = 27.9 mZC = 46.3°, m<A = 19.7°, c = 25

Given the following: f(x) = 3x +7x+8x¹; g(x) = -x + 12x - 212³; and h(x) = 8x³ + 12x + 6x² - 14x¹ Complete the following: h(x) - f(x) 8x³+3x+6x - 7x + 12x22x4 82³-3x+62-7x 82³-3x+6x7x 82³ + 3x + 6x + 7x

A building contractor is to dig a foundation 30 feet long, 24 feet wide, and 9 feet deep. The contractor pays $5 per load for trucks to remove the dirt. Each truck holds 8 cubic yards. What is the cost to the contractor to have all the dirt hauled away?

Ultrasound is often used to make images of developing fetuses. In particular, by measuring the size of a fetus ultrasound and then predict its birthdate. To do this requires formulas for fetus size as a function of age. Verburg et al. (2008) fit data from over 6000 fetal ultrasounds. They measured the femur length, L, (in mm) as a function of the fetus age,, (in weeks) and found the following formula: Calculated when t = 20. L = -37.50 +3.71t - 0.000633t³ Does the rate of growth of the fetus increase or decrease as it ages? A. Increases and decreases B. Increases C. Decreases D. Not enough information to tell

What is the value of n in the equation below? B. infinitely many solutions C, no solution 2n + 6 = 2n + 10

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 is the change in position of the object from t=0 to t= 13 seconds? The change in position is feet to the left.

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 score, he earned a 75. What percentage of students scored lower than Jose? Show your work on the sketch pad and then write your answer in a complete sentence in the text box.

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 fixed costs.

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 is f(x) =

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 the ball land in feet? (5 points) 56.372 feet 67.381 feet 60.646 feet 47.293 feet

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. $ 36,000 B. $ 6,000 C. $5,250 D. $ 36,750

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, and what in the bearing from pot? The ship ismi from the part

Set up a simplex matrix (or simplex tableau) for the following standard maximization problem. Find the maximum value of f = 2x + 4y subject to the constraints 3x + 4y ≤ 24 x + 5y ≤ 10 x ≥ 0, y ≥0

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 Ho at a significance level of 5% Accept H, at a significance level of 5%

Angle C is a right angle. Solve each triangle rounding to the nearest tenth. mA = 53°, c = 13.3 m/B = 37°, a = 10.6, b = 7.7 m/B = 37°, a = 10.6, b = 7.3 m/B = 37°, a = 12.9, b = 10.3 m/B = 37°, a = 10.6, b = 8 None of the other answers are correct

A road is inclined at an angle of 2°. After driving 5050 feet along this road, find the driver's increase in altitude. The driver's increase in altitude is

Solve the following system of equations using a method of your choosing y=-3x+5 5x - 4y=-3 A. The solution is (1,2) OB. The solution is (2,1) C. The solution is (0,0) D. The solution is (0,1)

Interpret a p-value of 0.005. This means that there is 0.005 probability for the null to be false This means that the probability for observing the test statistic is 0.005 if the null is true. This means that there is 0.005 probability for observing the test statistic if the null is false. This means that there is a 0.005 probability of a type Il error.

A test of significance produces a p-value of .06. Which of the following conclusions is appropriate? Fail to reject Ha at a significance level of 5% Fail to reject Ho at a significance level of 5% Reject H₂ at a significance level of 5% Reject Ho at a significance level of 5%

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 option will enable input for any required text boxes. If the selected option does not have any associated text boxes, then no further input is required.

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 3: Determine the height of the ball when it is 27 feet away horizontally. Round to the nearest tenth.

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 example, if you get 4 and as your answers, then enter 4,-2/3 in the box.

Convert the point from polar to Cartesian coordinates. Write your answer in the simplest form or rounded to the nearest hundredth.

Solve the equation 10z² - 9z+ 2 = 0. Answer: z = Write your answers as a list of integers or reduced fractions, with your answers separated by (a) comma(s). For example, if you get 4 and 2 as your answers, then enter 4,-2/3 in the box.

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 of ornamental grass. Beth spent $233 on 13 hostas and 7 bunches of ornamental grass. Find the cost of one hosta and the cost of one bunch of ornamental grass.

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.

FIND THE ANGLE Measure INDICATED. assume THAT LINES WHICH appear TO BE TANGENT are TANGENT.

Solve the compound inequality. -4xs-12 or 2x-262-12 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is B. The solution set is Ø.

Solve the compound inequality. -14≤4x-6≤ 10 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is B. The solution set is Ø.

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 decimal places.

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 how many pennies and nickels that Kelsey could have.

A research group polls 120,000 Americans to find the mean income of people under 30 is $36,450. That $36,450 represents a proportion statstic standard deviation parameter

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 be present after 2 days? A. 4, 484, 155 B. 44,842 C.250 D. 156

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 videos and how many CDs did she buy? She bought videos and CDs

Find the area of the region enclosed by f(x) and the x-axis for the given function over the specified interval. x²+3x+4 x<1

Graph f(x)=x2-4 Identify any positive intervals A. 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 (2, ∞ ) are positive

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 fees of $4 per case for the maximum number of cases she will store. If it costs her $743 to set up a production run, plus $10 per case to manufacture a single case, how many production runs should she have each year to minimize her total costs?

Graph the solution of the system of linear inequalities. y |< 4x-4 y >| x+3 Use the graphing tool to graph the inequality. Click to enlarge graph

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 and then calculates the sample mean wingspan from each sample. What will be the shape of the sampling distribution of the sample mean of wingspans? skewed right skewed left not enough information appropriately normal

Graph the solution of the system of linear inequalities. 5x-2y ≤ 10 y ≤ -3 Use the graphing tool to graph the solution. Click to enlarge graph the solution.

Consider the integral which of the following is the resulting integral. You do not need to evaluate this integral.

Graph the solution of the system of linear inequalities. x ≥ 5y x+4y ≤ 4

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 the ground. Step 3 of 6: How high is the arrow 5 seconds after leaving the bow? Round your answer to the nearest integer.

Benji has $3,100 in a savings account which earns 7% interest compounded quarterly. He made no additional 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