10) A rocket that is launched vertically is tracked by a radar station located on the ground 8 miles from the launch site. What is the vertical speed of the rocket at the instant its distance from the radar station is 10 miles and this distance is increasing at the rate of 7200 mi/h? Your answer should be in sentence form and should include the appropriate units..

Q: 5. A kite 100 feet above the ground is being blown away from the person holding its string in a…

A: So, here x2+1002=s2...(1) Given dxdt=10 Now, at s=200, from (1):…

Q: 4 If the cost of the machine is $14000, its salvage value is $1500 and its estimated useful life is…

A:

Q: 30. A helicopter flies parallel to the ground at an altitude of kilometer and at a speed of 2…

A:

Q: 1. The frequency of a vibrating string under constant tension is inversely proportional to its…

A: The answer is given as follows.

Q: A plant grows 1.67 cm in its first week. Each week it grows by 2% more than it did the week before.…

A: Just observe that increment of 2% to the original 100% means 102% which is equal to 1.02

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

A: Given: Two cars start moving from the same point.One travels  south at 16m/h and the other travels…

Q: 4. The average range of frequencies at which human beings can hear sound waves varies from 20 Hz to…

A: For a sound wave, Speed = Wavelength x Frequency  ν = λ x f  Given that the speed of sound in air =…

Q: Two cars are at an intersection. One goes east at a speed of 40 feet per second; the other goes…

A: Given The first car is 240 feet away from the intersection and the other is 360 feet away from the…

Q: 1. A spotlight on the ground shines on a wall 12 meters away. If a person 2 meters tall walks from…

A: Given: A spotlight on the ground shines on a wall 12 meters away. A person 2 meters tall walks from…

Q: The altitude of a triangle is increasing at a rate of 1.5 centimeters/minute while the area of the…

A:

Q: In developing a paint line process for an appliance manufacturer, a given component on a conveyor…

A: To Determine: The lenght of the booth. Given: A given component on a conveyor belt passes a given…

Q: A helicopter flies parallel to the ground at an altitude of 1/2 kilometer and at a speed of 2…

A:

Q: 7. A 6-foot-tall man walks away at the rate of 4 ft/sec from the base of a street light 12 feet…

A: From the question, Height of the man is 6 ft. Height of the street is 12 ft. y=The length of the…

Q: A water trough Is 15 feet long, and its cross section Is an equilateral triangle with sides 4 feet…

A: Answer is mentioned below

Q: 2. Two cars leave from the same position at the same time. One travels due North at 30 mph, while…

A:

Q: If you travel one mile in 59 seconds, what is your approximate average speed? What is your exact…

A: Since, it is given that if we travel one mile in 59 seconds, then our aimis to tell the average…

Q: A water trough is 10 feet long, and its cross section is an equilateral triangle with sides 4 feet…

A:

Q: 2. The popu lation of certain country is known to increase as a rate proportional to the number of…

A:

Q: The altitude of a triangle is increasing at a rate of 2.62.6 centimeters/minute while the area of…

A: Given, Area of a triangle, A=8484 cm2 Altitude of a triangle, h=1010 cm The rate of increase of…

Q: A plant grows 1.67 cm in its first week. Each week it grows by 2% more than it did the week before.…

A: It is given that the plant grows 1.67 cm in its first week. Each week the plant grows by 2% more…

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

A:

Q: 4. Two people on bikes are separated by 350 meters. Person A starts riding north at a rate of 5…

A:

Q: (d) If the ornithologists observe that birds of a certain species reach the shore at a point 3 km…

A:

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: 2. A man walks across a bridge at the rate of 5 ft/s as a boat passes directly beneath him at10…

A: From the given data , Man walks across a bridge in one second AC=5 feet and boat passes in one…

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

A:

Q: A runner starts at the beginning of a runners' path and runs at a constant rate of 5 mi/hr. Fifteen…

A: First, we need to calculate the relative speed which is, the difference between the speed of the…

Q: 9) A hot air balloon rose from a height of 100 m to 400 m in 3 minutes. What was the balloon's rate…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 8. A boy on a bike rides north 5 miles, then turns east. If he rides 10 mi/hr., at what rate was his…

A: Given: The following diagram represents the given data:

Q: When do we call two quantities incommensurable?  And can you explain the "three construction…

A: The ratio of two incommensurable quantities, on the other hand, is an irrational number.  one…

Q: 6. A boy on a bike rides north 5miles then turns east. If he rides 10 miles per hour, at what rate…

A: Distance travel in north distance = 5 miles,

Q: 3) A camera is located on the ground 3000 ft from the spot where a rocket takes off. If the rocket…

A:

Q: Suppose that the magnitudes of two earthquakes differ by 1 on the Richter scale. Find the ratio of…

A: Earthquake A be the larger earthquake and earthquake B be the smaller one. The difference in the…

Q: In a right triangle the hypotenuse is increasing at a rate of 0.1 ft/s. When the area of the…

A:

Q: The volume of a cube is increasing at the rate of 1200 cm3/min at the instant its edges are 20 cm…

A: Let the length of the sides of the cube = xAnd the volume of the cube = V = x^3

Q: Two cars start moving from the same point. One travelssouth at 60 mih and the other travels west at…

A:

Q: 2. It takes a car salesman 2.5 hours to drive from one city to another if he drives at a constant…

A: We know that , distance = velocity×Time

Q: 9. The altitude of a triangle is increasing at a rate of 2 cm/min while the area of the triangle is…

A: Area of triangle = 12×b×h Where b is base and h is height . And height of the triangle is equal to…

Q: 8. If a plan is moving horizontally at 100 mi and is falling at 10 mi how fast must an observers eye…

A: Solution

Q: Assume the rate at which the zombies spread is jointly proportional to the number of encounters…

A: Given: Let the total number of student is 300 in the campus.

Q: 1. Two airplanes left airports which are 960 km apart and flew towards each other. One plane flew 32…

A: This is a question of distance and velocity. Based on the general formula of distance and velocity…

Q: The volume of a cube is increasing at the rate of 1200 cm³ / min at the instant its edges are 20 cm…

A:

Q: (6) A person 2 meters tall walks directly away from a streetlight that is 8 meters above the ground.…

A: At first we draw the diagram  AC  is the street light, DE is the person. Let distance between…

Q: 6. What is the rate at which the two hands of the clock are separating when the time is two o'clock…

A:

Q: 29. A kite 100 feet above the ground is being blown away from the person holding its string. It…

A: Solution Let initially  kite was at position A while person holding Kite was at position O such that…

Q: A man 6 ft tall walks at a rate of 5 ft/sec away from a lamppost that is 16 ft high. At what rate is…

A: Given: Height of the man, h=6 ft Height of the post, H=15 ft Walking rate, dxdt=5 ft/sec

Q: Suppose that the local newspaper reported that Millerville and Big Lake both had 50 murders last…

A: Given information: It is given that, the local newspaper reported that Millersville and Big lake…

Q: A and B start toward each other at the same time from points 150 miles apart. If A went at the rate…

A:

Q: OH NO!! CERTAIN DOOM: Car A is traveling west at 50 mi/hr and car B is traveling north at 60 mi/hr.…

A:

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.