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You plan on taking a 1170 mile long trip in your car, which average 19.5 miles per gallon. About how many gallons of gas will you use? If gas costs 2.85 dollars per gallon, how much do you expect to s
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Marks: 2 Suppose that people's heights (in centimeters) are normally distributed, with a mean of 170 and a standard deviation of 4. We find the...
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A polynomial f ( x ) and two of its zeros are given. Solve the equation f ( x ) = 0.
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A crayon has a mass of 20 grams. A peach is 65 grams more than a crayon. What is the mass of a peach?
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a circle swimming pool is 21 feet in diameter.what is the circumference of the swimming pool?
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Use the Standard Scores and Percentiles table from section 6C in your textbook and find the standard score (z-score) and the percentile of a data...
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1) Using the horizontal-line test, determine whether the function is one-to-one. f(x)= 8/x 2) Find the inverse of the function. f(x) = 3 x+1 3)...
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How fast is the boat moving away from the lifeguard station when the distance between the boat and the lifeguard station is 150 feet?
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Construct the probability distribution for X. (c) (5 points) How much weight can you expect to gain by age 50?
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One good way is to look at a section of the region over a very narrow RING in the x Y plane. Draw the annulus outside radius r = x2 + y 2 and inside...
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The first new set of numbers we will consider is the integers. Integers The integers include positive and negative natural numbers and zero. Z = {.,...
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The average of a population is the mean, or population mean, often denoted , and is fixed, not random, and is often unknown.
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A manufacturer has been selling 1000 television sets a week at $450 each.
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The expression -50x+100 represents the balance, in dollars , of a bank Account after X months. What is the rate of change in dollars per month of the bank account balance
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Determine whether the two lines are parallel, perpendicular, coinciding, or only intersecting 4x-7y=63 Y=4/7x-9
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The price of a small used car is three times greater than the price of a used motorcycle. If the price of the motorcycle is $950, find the price of the car. Used a tape diagram to solve the problem.
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Sand falls from a conveyor belt at the rate of 9m^3/sec onto the top of a conical pile. The height of the pile is always 3/8 of the base diameter. How fast are the height and the radius changing when
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In ΔABC (m∠C = 90°), the points D and E are the points where the angle bisectors of ∠A and ∠B intersect respectively sides BC and AC . Point G ∈ AB so that DG ⊥ AB and H ∈ AB so that EH
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24-foot utility pole cast a 32-foot shadow. To the nearest degree, find the angle of elevation of the sun
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How many batches of pancakes can be made with this bag?A. 1/18 batches of pancakes B. 18 batches of pancakes C. 28 1/8 batches of pancakes D. 90 batches of pancakes
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Jason purchased a machine for his factory. The value of the machine was $21,500 in 2010. In 2011, the value of the machine was $18,920. In 2012, the value of the machine was $16,649.60, and in 2013, t
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Find an equation of the plane through the point (2,0,0) which is parallel to the plane 4x+3yz=2
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Triangle ABC has been dilated to form triangle A'B'C'. If sides AB and A'B' are proportional, what is the least amount of additional information needed to determine if the two triangles are similar? A
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Triangle ABC is shown below with line DE passing through points D and E: Triangle ABC is shown with point D lying on side BC and point E lying on side AC. Line DE is perpendicular to side AC. If trian
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A solid occupies the space above the region in the plane described by inequalities: \ 3 \le x^2 + y^2 \le 8 , \ x\ge 0 and below the surface z=8x+1....
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A plate occupies the region in the plane described by inequalities: \ 5 \le x^2 + y^2 \le 8 , \ y\ge 0 . Its density is \ \rho(x,y) = 7 y . Find:
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What are the solutions of the equation f(x) = g(x), given the following: x f(x) g(x) 0 1/2 1/4 1 -4 -4 2 3 7 3 1 1
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By changing to polar coordinates, evaluate the integral \iint_D (x^2 + y^2)^{3/2}\, dx dy where D is the disk \, x^2 + y^2 \le 9 .
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For the below information what is the critical value and is it found using the following n1+n2 -2 to find the degrees of freedom.
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I was really interested in pursuing a career in the field of math. How and what are the career options ?
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There are two major tests of readiness for college: the ACT and the SAT. ACT scores are reported on a scale from 1 to 36.
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23. The table shows the estimated number of deer living in a forest over a five-year period. Are the data best represented by a linear, exponential,
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You need to ship a box across the country. The package delivery company you wish to use will accept a box for shipment only if the sum of the length...
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SM Travel is in the process of consolidating our current small travel offices into two new locations that will handle all requests by phone. With the recent reduction in business travel and the genera
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Christi gives multiple demonstrations for two different cooking techniques each day at a local grocery store. The amount she earns for her seafood demos is given by f(x) = 85x - 21 where x represents
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PLEASE EXPLAIN THE WORK SHOWN Chocolate Chip Cookies 1 ½ cups unsalted butter 1 ¼ cups granulated sugar 1 ¼ cups brown sugar 2 teaspoon vanilla 2 eggs 3 ½ cups all-purpose flour 2 teaspoons
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Marty opened a savings account to deposit a portion of his monthly salary. Without considering interest earned, his savings account is modeled by the function f(x) = 300x + 500. How much money did Mar
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The area of rectangular mirror 11 11/16 square feet. The width is 2 3/4. If 5 ft tall space on wall will it fit
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solve the given system of equations x+4y=8(1) 6x+24y=48 (2) solution is x= y=
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solve the system of equations using matrices (row operations) 2x-8y=-6 2x+2y=3
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For the first problem, use your calculator. For the second problem, use the random digit table.
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Describe at least two practical applications of the definite integral.
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The perpendicular bisector of side AB of ∆ABC intersects side AB at point D and BC at point E. If m∠CAB = 82° and m∠C = 68°, find m∠CAE.
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Find sin x/ 2, cos x/ 2, and tan x/2 from the given information.
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Linda enrolls for 10 credit-hours for each of two semesters at a cost of $500 per credit-hour (tuition and fees). In addition, textbooks cost $300 per semester. Round your answer
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A + (B + C)= (A + B) + C associative scalar quantity dot product cross product
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Given the geometric sequence: 22,4,811,. Find an explicit formula for a n where the first term is a 1 =22 a n=_________ Find a 9 =_______ 2. Given...
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(05.06 MC) The graph below shows the solution to a system of inequalities: Solid line joining ordered pairs 0, 3.75 and 15, 0. Shade the portion of the graph above the line in the first and second qua
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A newlywed couple bought a washer and dryer for $800. They paid 10% down and then paid 12 monthly payments of $61.97. Determine the APR of the loan to the nearest of a percent. 8.0% 5.5% 7.5% 6.0%
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The owner of a bowling alley buys new equipment for $41,000. He makes a down payment of $12,000 and finances the balance at APR over 60 months. Before making the 37th payment, the owner decides to pay
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