• ### An oil spill has fouled 250 miles of Pacific shoreline. The company responsible has been ordered to clean the mess.?

Each clean-up crew costs \$13000 to bring in, and \$200 per crew per day. Each crew can clean 1 mile of shoreline per day. To encourage a speedy cleanup, the government is levying a fine of \$1000 per day against the company. Your group has been hired by the company to determine how many crews the company should hire to minimize their costs. 1. Find... show more
Each clean-up crew costs \$13000 to bring in, and \$200 per crew per day. Each crew can clean 1 mile of shoreline per day. To encourage a speedy cleanup, the government is levying a fine of \$1000 per day against the company. Your group has been hired by the company to determine how many crews the company should hire to minimize their costs. 1. Find an equation that gives the cost, C of cleanup in terms of the number of crews, x hired: C(X)= 2. Find the derivative of the cost equation: C'(x)= 3. Determine the number of crews that should be brought in to minimize the cost to the company. (a) Mathematically, the number of crews would be: (answer) Give the mathematical answer to at least two decimal places. (b) Since partial crews cannot be brought in, the whole number of crews that should be brought in to minimize cost the company would be: (answer). (c) The minimum cost to the company (using your answer from 3b) will be: \$()
2 answers · Mathematics · 1 year ago
• ### Oil Spill Project?

An oil spill has fouled 250 miles of Pacific shoreline. The company responsible has been ordered to clean the mess. Each clean-up crew costs \$9000 to bring in, and \$300 per crew per day. Each crew can clean 1 mile of shoreline per day. To encourage a speedy cleanup, the government is levying a fine of \$1000 per day against the company.Your group has... show more
An oil spill has fouled 250 miles of Pacific shoreline. The company responsible has been ordered to clean the mess. Each clean-up crew costs \$9000 to bring in, and \$300 per crew per day. Each crew can clean 1 mile of shoreline per day. To encourage a speedy cleanup, the government is levying a fine of \$1000 per day against the company.Your group has been hired by the company to determine how many crews the company should hire to minimize their costs. 1. Find an equation that gives the cost, C of cleanup in terms of the number of crews, x hired: C(x)= 2. Find the derivative of the cost equation C'(x)= 3. Determine the number of crews that should be brought in to minimize the cost to the company. a. Mathematically, the number of crews would be: Give the mathematical answer to at least two decimal places. b. Since partial crews cannot be brought in, the whole number of crews that should be brought in to minimize cost the company would be: c. The minimum cost to the company (using your answer from 3b) will be: \$ Note: The answer to 3b may not be as simple as rounding the answer to 3a. You should check the actual cost to the company to the whole numbers above and below your answer to 3a. 5. Rewrite your equation from above, replacing the \$1000 fine with the constant f. Your equation will involve both the variable x and the constant f: C(x)= 6. Determine the number of crews that should be brought into minimize the cost to the company as a function of the fine amount.
1 answer · Mathematics · 1 year ago
• ### Calculus Word Problems?

1. The height of a triangle is increasing at a rate of 4 cm per minute, while the area of the triangle is increasing at a rate of 10 square centimeters per minute. At what rate is the base of the triangle changing when the height is 6 cm and the area is 33 square centimeters? Is it increasing or decreasing? 2. At 10am, ship A is 80 nautical miles... show more
1. The height of a triangle is increasing at a rate of 4 cm per minute, while the area of the triangle is increasing at a rate of 10 square centimeters per minute. At what rate is the base of the triangle changing when the height is 6 cm and the area is 33 square centimeters? Is it increasing or decreasing? 2. At 10am, ship A is 80 nautical miles due west of ship B. Ship A is sailing east at 10 knots, and ship B is sailing north at 40 knots. How fast (in knots) is the distance between the ships changing at 1pm? (Note: 1 knot is a speed of 1 nautical mile per hour.) 3. A company has determined that its demand for selling q units of an item is given as q = −5p + 80 at price p per item. The company decides to decrease the price by \$2 per month. Find and describe how the rate at which the revenue is changing per month when the items are priced \$10 each. 4.Water is leaking out of an inverted conical tank at a rate of 9600 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height 14 meters and the diameter at the top is 6 meters. If the water level is rising at a rate of 15 centimeters per minute, when the height of the water is 300 centimeters, then find the rate at which water is being pumped into the tank in cubic centimeters per minute.
1 answer · Mathematics · 1 year ago
• ### Find and describe how the rate at which the Profit П is changing per week, when the lamps are priced \$59 each.?

A particular lamp that is to be sold at a small specialty store has \$1000 in fixed costs and \$3 per lamp in variable costs. The owners have spoken with a marketing expert that found that the linear demand of the lamp has a demand selling price of p = -6q + 305, where q is the demand quantity of lamps being sold. The owners decide to decrease the... show more
A particular lamp that is to be sold at a small specialty store has \$1000 in fixed costs and \$3 per lamp in variable costs. The owners have spoken with a marketing expert that found that the linear demand of the lamp has a demand selling price of p = -6q + 305, where q is the demand quantity of lamps being sold. The owners decide to decrease the price by \$.84 each week. Find and describe how the rate at which the Profit П is changing per week, when the lamps are priced \$59 each.
1 answer · Mathematics · 1 year ago

1. The height of a triangle is increasing at a rate of 4 cm per minute, while the area of the triangle is increasing at a rate of 10 square centimeters per minute. At what rate is the base of the triangle changing when the height is 6 cm and the area is 33 square centimeters? Is it increasing or decreasing? 2. At 10am, ship A is 80 nautical miles... show more
1. The height of a triangle is increasing at a rate of 4 cm per minute, while the area of the triangle is increasing at a rate of 10 square centimeters per minute. At what rate is the base of the triangle changing when the height is 6 cm and the area is 33 square centimeters? Is it increasing or decreasing? 2. At 10am, ship A is 80 nautical miles due west of ship B. Ship A is sailing east at 10 knots, and ship B is sailing north at 40 knots. How fast (in knots) is the distance between the ships changing at 1pm? (Note: 1 knot is a speed of 1 nautical mile per hour.) 3. A company has determined that its demand for selling q units of an item is given as q = −5p + 80 at price p per item. The company decides to decrease the price by \$2 per month. Find and describe how the rate at which the revenue is changing per month when the items are priced \$10 each. 4.Water is leaking out of an inverted conical tank at a rate of 9600 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height 14 meters and the diameter at the top is 6 meters. If the water level is rising at a rate of 15 centimeters per minute, when the height of the water is 300 centimeters, then find the rate at which water is being pumped into the tank in cubic centimeters per minute.
1 answer · Mathematics · 1 year ago
• ### Find dy/dx: sqrt(2x+7y)+sqrt(5xy)=17.279?

Find dy/dx: sqrt(2x+7y)+sqrt(5xy)=17.279
Find dy/dx: sqrt(2x+7y)+sqrt(5xy)=17.279
1 answer · Mathematics · 1 year ago
• ### Find the equation of the tangent line in slope-intercept form?

Find the equation of the tangent line in slope-intercept form to the curve 2y^2=sqrt(4x+1)+y+12 at x=2 in Quadrant IV. No decimals.
Find the equation of the tangent line in slope-intercept form to the curve 2y^2=sqrt(4x+1)+y+12 at x=2 in Quadrant IV. No decimals.
1 answer · Mathematics · 1 year ago
• ### The curve 4x^2+32x+9y^2+72=-172 has a horizontal tangent line at the point (-4,-2) and at one other point.?

The curve 4x^2+32x+9y^2+72=-172 has a horizontal tangent line at the point (-4,-2) and at one other point. Find the coordinates of the second point where the curve has a horizontal tangent line.
The curve 4x^2+32x+9y^2+72=-172 has a horizontal tangent line at the point (-4,-2) and at one other point. Find the coordinates of the second point where the curve has a horizontal tangent line.
1 answer · Mathematics · 1 year ago
• ### If the temperature remains constant, what is the final value of the pressure?

A cylindrical tank has a tight-fitting piston that allows the volume of the tank to be changed. The tank originally contains air with a volume of 0.135 m3 at a pressure of 0.650 atm . The piston is slowly pulled out until the volume of the gas is increased to 0.355 m3 . If the temperature remains constant, what is the final value of the pressure?
A cylindrical tank has a tight-fitting piston that allows the volume of the tank to be changed. The tank originally contains air with a volume of 0.135 m3 at a pressure of 0.650 atm . The piston is slowly pulled out until the volume of the gas is increased to 0.355 m3 . If the temperature remains constant, what is the final value of the pressure?
1 answer · Physics · 1 year ago
• ### What is the molar mass of this compound?

A large organic molecule has a mass of 1.04×10^−21 kg . What is the molar mass of this compound?
A large organic molecule has a mass of 1.04×10^−21 kg . What is the molar mass of this compound?
2 answers · Chemistry · 1 year ago
• ### At what temperature will the sphere begin to brush the floor?

A Foucault pendulum consists of a brass sphere with a diameter of 31.0 cm suspended from a steel cable 11.5 m long (both measurements made at 20.0 ∘C). Due to a design oversight, the swinging sphere clears the floor by a distance of only 3.00 mm when the temperature is 20.0 ∘C. At what temperature will the sphere begin to brush the floor?
A Foucault pendulum consists of a brass sphere with a diameter of 31.0 cm suspended from a steel cable 11.5 m long (both measurements made at 20.0 ∘C). Due to a design oversight, the swinging sphere clears the floor by a distance of only 3.00 mm when the temperature is 20.0 ∘C. At what temperature will the sphere begin to brush the floor?
1 answer · Physics · 1 year ago
• ### What is the total translational kinetic energy?

Part A: What is the total translational kinetic energy of the air in an empty room that has dimensions 9.00 m × 14.00 m × 6.00 m if the air is treated as an ideal gas at 1.00 atm? Express your answer with the appropriate units. Part B: What is the speed of a 2000-kg automobile if its kinetic energy equals the translational kinetic energy calculated... show more
Part A: What is the total translational kinetic energy of the air in an empty room that has dimensions 9.00 m × 14.00 m × 6.00 m if the air is treated as an ideal gas at 1.00 atm? Express your answer with the appropriate units. Part B: What is the speed of a 2000-kg automobile if its kinetic energy equals the translational kinetic energy calculated in part A? Express your answer with the appropriate units.
1 answer · Physics · 1 year ago
• ### What mass (in grams) of adipic acid, C4H8(COOH)2,?

1. What mass (in grams) of adipic acid, C4H8(COOH)2, Will Neutralize 28.2mL of 0.188M NaOH at the Phenolphthalein endpoint (adipic acid is diprotic)? 2. If the mass of the adipic acid sample is 0.485 g, what is the percent purity of the sample?
1. What mass (in grams) of adipic acid, C4H8(COOH)2, Will Neutralize 28.2mL of 0.188M NaOH at the Phenolphthalein endpoint (adipic acid is diprotic)? 2. If the mass of the adipic acid sample is 0.485 g, what is the percent purity of the sample?
1 answer · Chemistry · 1 year ago
• ### Exercise 10.25: A thin light string is wrapped around the outer rim of a uniform hollow cylinder of mass 4.60 kg having inner.?

A thin light string is wrapped around the outer rim of a uniform hollow cylinder of mass 4.60 kg having inner and outer radii as shown in the figure (Figure 1) . The cylinder is then released from rest. Part A: How far must the cylinder fall before its center is moving at 6.43 m/s ? Part B: If you just dropped this cylinder without any string, how... show more
A thin light string is wrapped around the outer rim of a uniform hollow cylinder of mass 4.60 kg having inner and outer radii as shown in the figure (Figure 1) . The cylinder is then released from rest. Part A: How far must the cylinder fall before its center is moving at 6.43 m/s ? Part B: If you just dropped this cylinder without any string, how fast would its center be moving when it had fallen the distance in part A?
1 answer · Physics · 2 years ago
• ### Problem 10.62: A block with mass m = 5.00 kg slides down a surface inclined 36.9 ∘ to the horizontal (the figure (Figure 1) )?

A block with mass m = 5.00 kg slides down a surface inclined 36.9 ∘ to the horizontal (the figure (Figure 1) ). The coefficient of kinetic friction is 0.23. A string attached to the block is wrapped around a flywheel on a fixed axis at O. The flywheel has mass 8.16 kg and moment of inertia 0.500 kg⋅m2 with respect to the axis of rotation. The string... show more
A block with mass m = 5.00 kg slides down a surface inclined 36.9 ∘ to the horizontal (the figure (Figure 1) ). The coefficient of kinetic friction is 0.23. A string attached to the block is wrapped around a flywheel on a fixed axis at O. The flywheel has mass 8.16 kg and moment of inertia 0.500 kg⋅m2 with respect to the axis of rotation. The string pulls without slipping at a perpendicular distance of 0.350 m from that axis. Part A: What is the acceleration of the block down the plane? Part B: What is the tension in the string?
1 answer · Physics · 2 years ago
• ### A Falling Bicycle. The moment of inertia of the front wheel of a bicycle about its axle is I, its radius is r, and the forward speed?

A Falling Bicycle. The moment of inertia of the front wheel of a bicycle about its axle is I, its radius is r, and the forward speed of the bicycle is v. Part A With what angular velocity must the front wheel be turned about a vertical axis to counteract the capsizing torque due to a mass m located a distance x horizontally to the right or left of... show more
A Falling Bicycle. The moment of inertia of the front wheel of a bicycle about its axle is I, its radius is r, and the forward speed of the bicycle is v. Part A With what angular velocity must the front wheel be turned about a vertical axis to counteract the capsizing torque due to a mass m located a distance x horizontally to the right or left of the line of contact of wheels and ground? (Bicycle riders: Compare your own experience and decide whether your answer seems reasonable.) Take the free fall acceleration to be g.
2 answers · Physics · 2 years ago
• ### If you are given a solution that has a concentration of 0.040 mg P/mL,?

If you are given a solution that has a concentration of 0.040 mg P/mL, describe how you would make 10.0 mL of a solution which has a concentration of 0.005 mg P/mL.
If you are given a solution that has a concentration of 0.040 mg P/mL, describe how you would make 10.0 mL of a solution which has a concentration of 0.005 mg P/mL.
3 answers · Chemistry · 2 years ago
• ### Your initial standard solution has a concentration of 10 ppm phosphorus.?

Your initial standard solution has a concentration of 10 ppm phosphorus. Is the concentration of that solution also 10 ppm phosphate? Why or why not?
Your initial standard solution has a concentration of 10 ppm phosphorus. Is the concentration of that solution also 10 ppm phosphate? Why or why not?
3 answers · Chemistry · 2 years ago
• ### Completely solve the following complex equations.?

Completely solve the following complex equation. (There are 9 solutions). Write the solutions in a+bi form. z^9=5
Completely solve the following complex equation. (There are 9 solutions). Write the solutions in a+bi form. z^9=5
3 answers · Mathematics · 2 years ago
• ### A bag contains 5 red marbles, 9 white marbles, and 7 blue marbles. You draw 3 marbles out at random, without replacement.?

A bag contains 5 red marbles, 9 white marbles, and 7 blue marbles. You draw 3 marbles out at random, without replacement. What is the probability that all the marbles are red? Express each answer as a fraction or as a decimal accurate to 4 places. 1. The probability that all the marbles are red is: 2. What is the probability that none of the... show more
A bag contains 5 red marbles, 9 white marbles, and 7 blue marbles. You draw 3 marbles out at random, without replacement. What is the probability that all the marbles are red? Express each answer as a fraction or as a decimal accurate to 4 places. 1. The probability that all the marbles are red is: 2. What is the probability that none of the marbles are red? The probability of picking no red marbles is
2 answers · Mathematics · 3 years ago