21. Kimberly is driving west at 70 km/h and Courtney is driving south at 60 km/h. Both cars are approaching the intersection of the two roads. At what rate is the distance between the cars decreasing when Kimberly's car is 0.5 km and Courtney's is 1.2 km from the intersection?

Q: One ship, Ship A, is approaching a port from the east, travleing west at 15 miles per hour, and is…

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Q: 4. A large tank contains 100 gal of brine in which initially 50 lbs of salt are dissolved. Brine…

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Q: How do you solve question 3?

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Q: As temperatures get lower, air conditioning costs decrease. O As alcohol drinking increases, so does…

A: Correlation: Correlation may be defined as the  linear relationship between the two variables.

Q: 12. Brent is driving west at 60 km/h and Aaron is driving south at 70 km/h. Both cars are…

A: Since the cars are moving towards a point, all the distance are decreasing. So here we don't have to…

Q: 2. Two cars start moving from the same point. One travels south at 25 mi/h and the other travels…

A: Given data is : Two car moving from same point. One travel south at 25 mi/h and other other travel…

Q: 2. A tank initially contains 1000 gallons of fresh water. Brine containing 3 lbs/gallon of salt…

A: The time taken for the quantity of salt to reach 100 lbs is 16.80555 minutes

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A: Given that car A traveling West at 50 mph car B traveling North at 60 mph we have to find the rate…

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A: Solution

Q: The length of the rectangle is decreasing at a rate of 5 centimeters per second, and its width is…

A:

Q: Two trucks, one traveling west and the other traveling south, are approaching an intersection. If…

A: Given that, Two trucks, one traveling west and the other traveling south, are approaching an…

Q: Car A is traveling west at 50 mi/h and Car B is traveling north at 60 mi/h. Both are headed for the…

A: In first question we find out dz/dt .and in 2nd question first we put dy/dx=0 for extreme values.and…

Q: When they invest K dollars, a fishery can produce Q(K) pounds of fish per month, where Q(K) = 104…

A: Rate of change is nothing but the change happen in any observations over a period of time. Here…

Q: Tank A initially holds 100 gallons of brine that contains 150 pounds af salt, and tank B holds 100…

A: Tank A initially holds 100 gallons of brine that contains 150 pounds of salt.Tank B holds 100…

Q: Two cars are initially 1000 miles apart on a road that runs East/West. Car A drives 40 miles per…

A: To determine the rate of change of distance between two cars after 10 hours and 20 hours of travel.

Q: 3. Imagine you fill your bathtub up at a rate of 2 gallons per minute. This means that every minute…

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Q: A truck is 300 kilometers due east of a car and is traveling west at a constant speed of 30km/hr.…

A: (a) Let the initial position of the car be at the origin. Take the x-axis from west to east and the…

Q: 2. Two cars, one going east with the speed of 45 mph while the second car heading south at 70 mph,…

A: Solution ) the rate at which they are approachung each other = 45 + 70  = 115 m/ h For car 1  Speed…

Q: C, the consumer price index, in a specific very small area, is dependent on the current value of…

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Q: 3. The population of a certain country is known to increase at a rate proportional to the number of…

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Q: Two ships leave port at the same time. One travels north at 24 nautical miles per hour, and the…

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Q: Two cars are headed for the intersection of the two roads. If Car A is travelling south at 49 km/h…

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Q: A certain type of bacteria is known to grow at the rate proportional to square root of the amount…

A: To find- how much bacteria is there after 7 hours.

Q: Suppose that a product currently sells for $25, with the price increasing at the rate of $2 per…

A: Given, Currently products sells for $ 25  and at this price consumers will buy 150 thousand items.…

Q: 3. A man rows downstream at the rate of 5 mph and upstream at the rate of 2 mph. How far downstream…

A: Let the man goes x miles downstream. Assume, the man takes t1 hour to go downstream and t2 hour to…

Q: 1. a) A car is driving toward an intersection from the east at 40 mi/h, and a second car is driving…

A: Here the two cars are approaching each other at right angles with different speeds. Therefore the…

Q: Two cars are initially 1200 miles apart. At the same time Car A starts driving at 35 mph to the east…

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Q: The number of days a barrel of water lasts varies inversely with the people who consume it. If a…

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Q: Two cars are headed for the intersection of the two roads. If Car A is travelling south at 45 km/h…

A:

Q: Two cars start moving from the same point. One travels south at 16 mi/h and the other travels west…

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Q: A bacteria culture starts with 960 bacteria and grows at a rate proportional to its size. After 4…

A: The exponential growth formula is given by: P(t)=P0 ekt...(1) where P0 is initial population, k is a…

Q: The population of Tagum City is increasing at the rate proportional to its current population. In…

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Q: Two cars are headed for the intersection of the two roads. If Car A is travelling south at 41 km/h…

A: Given problem is : Two cars are headed for the intersection of the two roads. If Car A is travelling…

Q: If the amount of bacteria in a culture at any time increases at a rate proportional to the amount of…

A: answer is in next step

Q: 5. A storage battery discharge at a rate which is proportional to the charge. If the charger is…

A: Given that: Rate of discharging is proportional to the charge.Charge is reduced to 50% of its…

Q: If a IV fluid bag is Flowing out of a 1.0 liter bag at the rate of 0.4 cc/min how long will it take…

A: Total volume of fluid flowing out =1.0 litre rate of flowing =0.4 cc/min

Q: Charley stands 34 meters west of Robert. Robert starts walking north at a speed of 2 m/s, and…

A:

Q: 4. One car leaves a given point and travels north at 30 mph. Another car leaves 1 hour later, and…

A:

Q: 4. A father is running west at 5 m/hr and his son is running north at 6 m/hr. Both are headed for…

A: I am attaching image so that you understand each and every step.

Q: Ted is driving east at 80 km/hr and Anthony is driving north at 50 km/hr. Both cars are approaching…

A:

Q: 10. Romeo is walking towards North at a rate of 4m/s. Ten seconds after, Juliet walks towards East…

A:

Q: 2. The manager of a company determines that when q hundred units of a particular commodity are…

A:

Q: 6. Train E travels west toward Chicago station at 120 miles per hour while a second train N travels…

A: Train E =120 miles per hour  Train N=90 miles per hour

Q: Suppose a person with x years of eduction before seeking regular employment can expect to receive an…

A:

Q: 2. Two cars are initially 1000 miles apart on a road that runs East/West. Car A drives 40 miles per…

A: Position at initial stage: Direction:

Q: 2. For a certain rectangle the length of one side is always three times the length of the other…

A: Let length of the rectangle be "x"       breadth of the rectangle be "y"     let "x" be the longer…

Q: On a rainy day, a girl broken up with her boyfriend after being together for eight long years. They…

A: Given: The boy is due north crying and running at a rate of 5 ft/sec and the girl is walking due…

Q: 2. Ship A is 15 miles east of O and moving west at 20 mi/hr, ship B is 60 miles south of O and…

A: Given : Ship A is moving west at 20 mph and ship B is moving north at 15 mph

Q: 3. A bowl of soup has an initial temperature of 60 degrees Celsius. The temperature decreases by 6%…

A: Initial temperature= 60 degrees temperature decreases by rate 6% each minute

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.