Word problem Definition and 499 Threads

1.A line segment extends horizontally to the left from the point (-1, -1). Another line segment extends horizontally to the right from the point (1, 1). Find a curve of the form y = ax^5 + bx^3 + x that connects the points (-1, -1) and (1, 1) so that the slope and curvature of the curve are...

1. radium decompose at the rate proportional to the amount itself. if the half life is 1600, find the percentage remaining after at the end of 200 years. can you me go about solving this. thanks!

How many linear equations are needed to find the constraints in the polynomial when modelling data that has been found to follow a linear function?" The question seems way too wordy in itself and I have not been able to find anything useful in my textbook or external resources. Can...

My answer is wrong according to the book, but I don't see where my mistake was made.. The question: The temperature of a steak that's being put into the oven can be describe with T(x) = 175-153e-kx where T(x) is the temperature in degrees Celsius t minutes after the steak has been put into the...

1. A prospective bridegroom wants to buy an engagement ring. Two jewelry stores each show him a ring at a cost of \$2400. One jeweler requires a 20% down payment with the balance to be paid at the end of one year at 11% simple interest. The other jeweler requires a 25% down payment with the...

Homework Statement The total reserves of a nonrenewable resource are 600 million tons. Annual consumption, currently 20 million tons per year, is expected to rise by 1% each year. After how many years will the reserve be exhausted? Part 2. Instead of Increasing by 1% each year, suppose...

during its annual picnic, a company supplies lemonade for all employees and their families. the picnic committee has purchased twice as many pint jugs as quart jugs and 8 fewer gallon jugs than quart jugs. how many jugs of each type are there if 22 gallons of lemonade were purchased? (there 2...

1. What time between 2 and 3 o’clock will the angle between the hands of the clock be bisected by the line connecting the center of the clock and the 3 o’clock mark? can you rephrase for me the question. what's the unknown here? please help thanks!

1. how soon after noon will the hands of the clock extend in opposite direction? 2. what time after 11 o'clock will the hands of the clock be at right angle for the 2nd time? can you please give hints on this, so i can start solving it. thanks! i have no idea where to start honestly that's why...

hi , this is one simple math but i am not getting the answer. the work done by (x-3) men in (2x+1) days and the work done by (2x+1)men in (x+4) days are in the ratio of 3:10.find the value of 'x'.

Homework Statement An electric motor is used to pull a 125kg box across a floor using a long cable. The tension in the cable is 350N and the box accelerates at 1.2 m/s/s [fwd] for 5.0s. The cable breaks and the box slows down and stops a )Calculate the coefficient of kinetic friction...

Homework Statement The function T=190(1/2)^1/10t can be used to determine the length of time t, in hrs that milk will remain fresh. T is the storage temp. In Celsius How long will milk remain fresh at 22 degrees Celsius Homework Equations Bases have to be same then exponents will...

Preparing for an upcoming midterm and this is one of the practice questions from an old test. The Question: Let X be a set with n elements, say S = {s1, s2,..., sn} Let B be the set of binary numbers with n digits. That is, sequences of n terms, each of which is 0 or 1. Define f : P(S) --> B...

How do you reason it out? I get confused on problems that involve distance rate and time. What wording should I look for to tell me if s should be positive and the number should be negative or any variation in between? Should there never be a negative involving a DRT formula?

Homework Statement "1. The net change, C, in the energy level of a forging animal over a period of time t is equal to the energy intake, I, minus the energy expended, E: C= I-E Suppose that the energy intake (per unit time, j>0, is a constant. Then, over a time interval t, the total energy...

Homework Statement A business is paying off a debt by paying an installment of $8000 at the end of each year. Interest is being charged at 5.5%. What is the outstanding debt if the business has just paid an installment and there remain 15 further installments of $8000 and a final repayment of...

Homework Statement Consider a tank used in certain hydrodynamic experiments. After one experiment the tank contains 200 L of a dye solution with a concentration of 1 g/L. To prepare for the next experiment, the tank is to be rinsed with fresh water flowing in at a rate of 2 L / min. The...

Homework Statement We know relationship between temp and number of chirps per minute is linear. 113 chirps per minute at a 70degrees F. 173 chirps per minute at 80 degrees F. Homework Equations In this problem why do we put degrees on top of chirps in finding the slope. The Attempt...

A T-bill with face value of \$10,000 and 96 days to maturity is selling at a bank discount ask yield of 4.3%. A. What is the price of the bill? (use 360 days a year) B. what is its bond equivalent yield? A. .043 * (96/360) = .011 .011 * (1-.043) = \$9,890 B. 1.1% * (365/96) = 4.182%. Are these...

I was wondering if anyone would be able to help me in answering these two questions related to this problem. I'm rather stuck! Problem - Ronald has just discovered four new ingredients for making a very potent potion that will raise his IQ by 15 points. We can only identify the ingredients as...

Homework Statement Each one of the five workers W1, W2, W3, W4 and W5 can do a certain job. W1, W2, W3 together can do it in 7.5 hours. W1, W3, W5 together can do it in 5 hours. W1, W3, W4 together can do it in 6 hours. W2, W4, W5 together can do it in 5 hours. Find the time in which all five...

I will occasionally get problems wrong because the "right" answer should be y=nx, but I put x=ny, is the program being nitpicky or am I somehow misreading the problem?

Homework Statement An Antenna that is 90 feet high is on top of a hill. From a point at the base of the hill, the angles of elevation to the top and bottom of the antenna are 28.5° and 25°, respectively. To the nearest whole number of feet, how high is the hill? A, 189 ft B, 213 ft C...

Need help with the following word problem: You are going to sell oranges by the box full. The first supplier will sell you a box of 20 oranges for \$16 a package, but there is an additional charge of \$300.00 per month to purchase oranges from the company. 1. Find and show you how you found...

Hi, guys, I could not figure out the answer to this Q, no matter how hard I did this math. I know this should not be a difficult one, but really my answer never matched the correct one. Please do help me on how to get the answer? Many thanks!

Hello MHB, I got difficult understand this kind of questions, anyone got any tips or could explain, cause I find it really hard to understand when I do this kind of problem, this is an old problem from exam that I hopefully did translate well. A priest needs to choose six hymns for Sunday's...

1. Let F = 1050N & θ = 24°. A tow truck drags a stalled car along a road. The chain makes an angle of θ degrees with the road, and the tension in the chain is F Newtons. How much work W is done by the truck in pulling the car a distance D = 1km(1000m) along a horizontal road? Express the result...

Homework Statement Question in full detail: Postal workers on planet Gortak want to drill a straight tube through the planet, starting at Post Office 1, passing through the center of the planet, and ending on the other side at Post Office 2. They plan to release small packages contain-...

Homework Statement A steer weighing 300 pounds gains 8 pounds per day and costs 1.00 dollar a day to keep. You bought this steer today at market price of 1.50 dollars per pound. However, the market price is falling 2 cents per pound per day. When should you sell the steer in order to...

Homework Statement Your budget for constructing a rectangular enclosure which consists of a high surrounding fence and a lower inside fence that divides the enclosure in half is 2400 dollars. The high fence costs 8 dollars per foot and the low fence costs 4 dollars per foot. Find the...

Homework Statement A lighthouse is located on a small island 3km away from the nearest point P on a straight shoreline and its light makes four revolutions per minute. How fast is the beam moving along the shoreline when it is 1km from P? Homework Equations The Attempt at a...

Hello, I got problem with this Word problem Determine the number of 7-digit numbers that do not have the consequence 17th For example 4713.1572 allowed 5-digit numbers but 1723,3175,0254 are not allowed. I did a huge progress and get answer 8457 067 but its wrong. I did calculate how many...

Homework Statement A plane is heading due south and climbing at the rate of 60 km/hr. If its airspeed is 540 km/hr and there is a wind blowing 110 km/hr to the northwest, what is the ground speed of the plane? Homework Equations Pythagorean theorem The Attempt at a Solution...

I have attached a print screen of this question. Now I have solved the problem, but only with the help of the marks, scheme. Don't get me wrong, I didn't just look at the MS and assumed it was the right ans. I kind of of reverse engine the ans. My problem is with part b) It tells me to use the...

Homework Statement Examine the charge distribution shown. a) Find the net force on charge 1 b) What is the net electric field acting on charge 1? Homework Equations The Attempt at a Solution Homework Statement Homework Equations F = (k)(Q1)(Q2)...

Homework Statement Suppose that if you are s minutes early for an appointment, then you incur cost s * $3, while if you are s minutes late, you incur cost s * $5. Suppose the travel time from your present location and the location of the appointment is a continuous random variable with...

This whole chapter has been tripping me. My professor made-up another way of doing this, which I'm having a hard time understanding. He's a really intelligent guy(even other professors say it) so he can do this, but I'm having a hard time understanding his way. I went to tutoring today, they...

How do you solve this? Sand is being poured from a dumping truck and forms a conical pile with its height equal to one third the base diameter. If the truck is emptying at the rate of 720 cubic feet a minute and the outlet is five feet above the ground, how fast is the pile rising as it...

The number of bacteria in a culture is given by B(t) = 40e0.6t, where t is the time in days. How many bacteria are there after 2 days? I substituted t = 2, and got this: 2B = 40e1.2 which I simplified to become this B = 66.4 days Apparently this answer is wrong though, can someone explain why?

1. Problem: A manufacturer makes two models of an item, standard and deluxe. It costs $40 to manufacture the standard model, and $60 for the deluxe. A market research firm estimates that if the standard model is priced at x dollars, and the deluxe at y dollars, then the manufacturer will sell...

1. In some chemical reactions, the rate at which the amount of a substance changes with time is proportional to the amount present. For the change of δ-glucono lactone into gluconic acid, for example, dy/dt= -.6y when t is measured in hours. If there are 90 grams of δ-glucono lactone present...

The problem is from the MIT Open CourseWare Calculus eBook by Strang. Chapter 12.2, #3: A ball is thrown at 60 degrees with initial velocity of 20m/sec to clear a wall 2m high. How far away is the wall? Finding flight time T, range R, and max height Y(max) is the easy part. How do I find...

Homework Statement Two cars start from the same point at the same time, with one car traveling at a constant speed of 55 mph, and the other car having a constant speed of 70 mph. How far has the faster car traveled when it has a 15 minute lead on the slower car? Problems like this always...

Homework Statement The current in a river flows North at 5mph. A boat starts straight across the river at 8mph relative to the water. (a) What is the speed of the boat relative tot he land? (b) If the river is 2mi wide, how long does it take the boat to cross the river? (c) If the...

I solved a word problem correctly...But I'm a little confused about what my answer means, I guess I'm having trouble understanding how they got the meaning of the numbers. My question is about step (b). Problem: The velocity of an aircraft is 200 km/hr due west. A northwest wind of 50 km/hr is...

So the problem is: a 1000 kg rocket is fired straight up, a 100 kg rocket is fired straight up with a constant acceleration for 16 seconds. It then stops accelerating and 20 seconds after launch reaches a height of 5100 m. Ignore air resistance. Find the acceleration of the rocket for the...

Okay, I tried to draw a picture of the graph the word problem is talking about. This is a bad picture, but it was the best my computer could take! :/ 1. Les triangles dangereux is an 80-minute movie showing nothing but a slowly growing triangle. It got a strong reception at Cannes...

A rectangle of length x, where x varies, has a constant area of 48cm2. Express the perimeter, y in terms of x. Find the least possible value of x. my problem is not the maths part i.e. the differentiation, but the equation to get things moving. I really have no idea where to start. I drew a...

The Information Systems Audit and Control Association surveyed office workers to learn about the anticipated usage of office computers for holiday shopping. Assume that the number of hours a worker spends doing holiday shopping on an office computer follows an exponential distribution. a) The...

"A school mathematics department has 1440 euros to buy textbooks. Maths for All volume 1 costs 70 euros. Maths for All volume 2 costs 40 euros. The department wants twice as many copies of volume 1 as volume 2. How many of each volume can they buy?" I got up to that the first equation is 70x +...