When a ball is thrown up into the air, it makes the shape of a parabola. The equation S= -10t^2 + v*t + k gives the height of the ball at any time, t in seconds, where "v" is the initial velocity (speed) in meters/sec and "k" is the initial height in meters (as if you were on top of a tower or building). Make up a scenario w
Mr. Joe plans to fence in a rectangular barn lot for his cows. He plans to make a barbed-wire fence that has 3 strands of wire. He has 3 partly-used rolls of barbed wire and plans to use all of the wire for his fence. He wants to fence in the largest lot possible. One roll of wire has 112'. The second roll has 64', and the third
1. Solve using the five-step problem-solving process. Show all steps necessary to arrive at your solution. The supplement of an angle measures 40° more than twice its complement. Find the measure of the angle. 2. Solve using the five-step problem-solving process. Show all steps necessary to arrive at your solution. Yo
1. Solve the system of equations & find the ordered pairs x + 9y = 4 (1) x = 5-9y (2) 2. Solve by the substitution method 4x+9y=60 x=69-9y 3. I am having trouble with two word problems: a) Train A and B are traveling in the same direction on parallel tracks. Train A is traveling at 40mph and t
1. The resultant of two forces acting on a body has a magnitude of 80 pounds. The angles between the resultant and the forces are 20° and 52°. Find the magnitude of the larger force. 34.7 pounds 28.8 pounds 66.3 pounds 184.3 pounds 2. Without the wind, a plane would fly due east at a rate of 150 mp
Determine whether the equation is an identity, a conditional equation, or an inconsistent equation... Solve the equation... Solve the equation... Plot the given point in a rectangular coordinate system... Use the graph to determine the x- and y-intercepts... Use the five-step strategy for solving word problems to find the n
If the churning machine can makes 5 full turn=5s in 20 minutes, what is the total number of turns it makes in one hour? What I know? 60 minutes in one hour 60/20=3 (how many increments in 60 minutes) 3*5= 15(number of times the t)he machine will turn
Betty Malloy owner of the Eagle Tavern in Pittsburgh, is preparing for Super Bowl Sunday, and the must determine how much beer to stock. Betty stocks three brand of beer-Yodel, Shortz,and Rainwater. The cost per gallon (to the tavern owner) of each brand is as follow: Brand Cost/Gallon ------------------------ Yodel
Could someone please help me with the following problems: Thank you!!! 1. Use set building notation to describe the complete solution 31-(2x+2)≤4(x+1)+x {x|x?,?} 2. Solve the elimination method 0.3x-0.2y=4 0.4x+0.5y=1 A. The solution is__ B. There are infinitely many solutions C. There is no solution 3. -29
1-3. Set up a system of linear equations to describe the following problem and solve the system using one of the methods discussed this week. At the end of the year, a business has made a profit of $151,000. They must calculate the amount of tax due to the federal government and to the state. The federal tax rate is 30%, and th
1. If the distance from the earth to the sun were 92,900,000 miles, how long would it take a rocket, traveling at 2.8 × 103 miles per hour, to reach the sun? (Round to three places) 2. A circular window of radius 13 inches is to be laminated with a sun block coating that costs $0.95 per square inch to apply. What is the to
Random variable x and y have the joint density function defined as fx,y(x,y)= {1/25 o < x < 5 and 0 < y < 5} {0 elsewhere } what is the expected value of the function g(XY)=XY^2
How would I go about solving this problem? Suppose you have a friend named Ed. He and his four friends are having ice cream. There are only three flavors available at the ice cream store they are visiting: chocolate, vanilla, and strawberry. One of Ed's friends, Stacey, eats chocolate exclusively. How many different kinds of
The Jackson triplets, Jenny, John, and James, are in different algebra classes at City High. On their final exams, Jenny scored 85 on a test with a mean of 78 and a standard deviation of 8.5; John scored 78 on a test with a mean of 73 and a standard deviation of 9; and James scored 83 on a test with a mean of 75 and a standard d
Find a linear cost function in Break-Even Analysis The cost function for flavored coffee at an upscale coffeehouse is given in dollars C(x) = 3x 1 + 160,by where x is in pounds. The coffee sells for $7 per pound. a. Find the break-even quantity. b. What will the revenue be at that point?
See the attached file. A real estate developer is planning a new mini apartment complex. Three types of units can be built: one-bedroom apartments, two-bedroom apartments, and three-bedroom apartments. Each one-bedroom apartment requires 650 square feet; each two-bedroom apartment requires 800 square feet; and each three-bed
In October , the zoo had a special week called "Halloween week". On the last day of October, they had a party where everyone wore costumes. A contest was held to choose the best black Halloween cat. each cat wore a number. all the numbers put on the cats had one thing in common. What did the numbers have in common? numbers:
A bank has $650,000 in assets to allocate among investments in bonds, home mortgages, car loans, and personal loans. Bonds are expected to produce a return of 10%, mortgages 8.5%, car loans 9.5%, and personal loans 12.5%. To make sure the portfolio is not too risky, the bank wants to restrict personal loans to no more than 25% o
The Dreskin Development Company is building two apartment complexes. It must decide how many units to construct in each complex subject to labor and material constraints. The profit generated for each apartment in the first complex is estimated at $900, for each apartment in the second complex, $1,500. A partial initial simplex
Consider the following function f: R --> R defined by f(x) = x3 - 5 . (a) Use the contrapositive to explain (no proof necessary) that f is a one-to-one function. (b) Find f -1. (c) Compute f o f.
1. The credit remaining on a phone card(in dollars)is a linear function of the total calling time (in minutes). When graphed, the function gives a line with a slope of -0.15. There is 29.35 in credit remaining on the card after 29 minutes of calls. How much credit will there be after 41 minutes of calls? 2.
Please show all steps and computation. This morning, Mr. Singh will make strawberry-banana shakes using 300 strawberries and 60 bananas. Mr. Singh knows that he will use more strawberries than bananas in each shake , and he does not want to have any leftovers fruit. He wants all of the shakes to have equalnumbers of whole b
See the attached file. Solve each system by the substitution method: 1. x = 9 - 2y x + 2y = 13 2. 6x + 2y = 7 y = 2 - 3x 3. y = 3x -5 21x - 35 = 7y 4. 9x - 3y = 12 y = 3x - 4 5. 3x - 2y = -5 4x + y = 8 6. 2x + 5y = -4 3x - y = 11.
Solve each system by the substitution method only. Show step-by-step solutions. 1) 4x + 3y = 15 2x - 5y = 1 2) 3x - 7y = 13 6x + 5y =7 3) 3x - 4y = 11 2x + 3y = -4 4) 2x + 3y = -16 5x - 10y = 30 5) 3x = 4y + 1 3y = 1 - 4x 6) 5x = 6y + 40 2y = 8 - 3x.
Commuting students. At a well-known university, 1/4 of the undergraduate students commute, and 1/3 of the graduate students commute. One-tenth of the undergraduate students drive more than 40 miles daily, and 1/6 of the graduate students drive more than 40 miles daily. If there are twice as many undergraduate students as there a
Filling a tank. A water tank has an inlet pipe and a drain pipe. A full tank can be emptied in 30 minutes if the drain is opened and an empty tank can be filled in 45 minutes with the inlet pipe opened. If both pipes are accidentally opened when the tank is full, then how long will it take to empty the tank?
Upstream, downstream. Junior's boat will go 15 miles per hour in still water. If he can go 12 miles downstream in the same amount of time as it takes to go 9 miles upstream, then what is the speed of the current?
Week 3 Study guide Which numbers cannot be used in place of the variable in each rational expression? 44. Section 6.2 Perform the indicated operation. 70. Section 6.4 Addition and Subtraction of Rational Expressions 28. Perform the indicated operation. Reduce each answer to lowest terms. 40. 5
(x_n tends to plus infinity if and only if for each M belonging to real numbers there exists an N belonging to natural numbers such that: n>=N implies x_>M. x_n is said diverge yo minus infinity if and only if for each M belonging to natural numbers such that: n>=N implies x_n <M.) Prove by above definition that each of
In a study of workers at Wong laboratories, it was found that the number of components assembled per hour by the average worker t hours. After starting work could be modeled by the formula: N(t) = -3t^3+23t^2+8t a) Re-write the formula by factoring the right-hand side completely b) Use the factor