If a car is traveling at 89.7mph, how fast is that in mm/s?

Q: A pick up truck is fitted with new tires which have a diameter of 41 inches. How fast will the pick…

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Q: Assuming your car can slow at a constant rate of 15 ft/sec2, how much distance will your car cover…

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Q: A 16-foot long Ford Fusion wants to pass a 50-foot truck traveling at 55 mi/h. How fast must the car…

A: The length of Ford Fusion is 16 foot The length of the truck is 50 foot To pass the truck…

Q: Suppose you drive for 60 miles at 60 miles per hour, then for 60 miles at 30miles per hour. In miles…

A: Recall the equation connecting the three variables of speed, distance and time as: time = distance /…

Q: A neighborhood carnival has a merrygo-round whose radius is 25 feet.If the time for one revolution…

A: Since,it is known that the speed can be calculated by using the formula speed=Radius×Angular…

Q: A 6-ft tall man is walking away from a 15-ft tall street lamp at the rate of 5 ft/sec. How fast is…

A: Here we find rate of shadow lengthening.

Q: A person running at 45 kilometers per hour (KPH) is riding a train at 120 KPH going to Manila. Who…

A: Given that , Speed of a person = 45KPH  Speed of a train = 120KPH  Because, we have same unit of…

Q: Each side of a square is 6 ft and is increasing at a rate of 2 ft per second. How fast is the area…

A: By differentiating equation of area of square with respect to time and substituting the value of…

Q: How far will a bus travel in 4h at an average speed of 58 mi/h?

A: Given that,   Time (t) taken by bus = 4 hours   Average speed (v) of bus = 58 mi/hours

Q: If You Can Run “The 600 Yard Run” In 1 Minute, 40 Seconds, How Fast Is That In Miles Per Hour?

A: Given The 600 Yard Run” In 1 Minute, 40 Seconds

Q: The tires of a bicycle have a radius of 12 inches and are turning at the rate of 100 revolutions per…

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Q: consider a rectangular bathtub whose base is 18 ft2. How fast is the water level rising if water is…

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Q: Each side of a square is increasing at a rate of 2 cm/s. At what rate is the area of the square…

A: Let the side of the square be 'x' cm. Therefore the area of the square is given by: A=x2

Q: An aircraft is flying horizontally at a speed of 600 km/h. How fast is the distance between the…

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Q: The volume of a cube decreases at a rate of 0.75 ft3 of the side length when the side lengths are 15…

A: Given the volume of a cube decrease at a rate of 0.75 ft3/min. To find the rate at which the side…

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: If the diagonal of a cube is increasing at a rate of 3 cubic inches per minute, how fast (in…

A: We will find the rate of increase of side of cube.

Q: On our moon, the acceleration of gravity is 1.6 m/sec2. If a rock is dropped into a crevasse, how…

A: It is given that the acceleration of the gravity is 1.6m/sec2.

Q: How far will an aircraft travel in 7 minutes, 12 seconds with a groundspeed of 125 knots?

A: The length of a path between two points is called distance.

Q: Suppose a cyclist was using a 150-millimeter-diameter chainring and an80-millimeter- diameter…

A: Given: Let, dc  and rc denotes the diameter and radius of Chainring respectively and ds  and  rs…

Q: A man 6 ft tall walks along a level sidewalk away from a lamppost. On the post is a street light 18…

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Q: A ball is dropped from the top of a building 400 ft high.How long does it take to reach the ground?…

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Q: A person stands at the end of a pier 8 ft above the water and pulls in a rope attached to a buoy. If…

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Q: Two cars start moving fr km/hr. At what rate is the

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Q: The volume of a cylinder with a radius of 5 inches is increasing at a rate of 36pi in^3/min. How…

A: given in a cylinderr=5 indVdt=36π in3/minh=10 innow volume of cylinder (V)=πr2hradius is constant

Q: If a plane travels from NAIA to Bagasbas Airport at 500 kph and back along the same route at 300…

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Q: It is known that a cable with a​ cross-sectional area of 0.80sq in. has a capacity to hold 2500 lb.…

A: Area measures the surface of a simple closed region. The units of area are the square of the units…

Q: The London Eye is a Ferris wheel in London, England, that travels at a speed of 0.26 meter per…

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Q: On the moon, the acceleration due to gravity is 1.6 m/sec2. If a rock is dropped into a crevasse,…

A: Consider the given value of acceleration due to gravity 1.6 m/sec2.

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

A: Solution:

Q: the area, A, of a square is increasing at 6cm2 per minute. how fast is the side length of the square…

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Q: At an average speed of 56 km/h how far can you travel in 6 hours?

A: Given: Average speed=56 km/h To Find: Distance traveled in 6 hours

Q: A 6-ft tall man is walking towards a 15-ft tall street lamp at the rate of 9 ft/sec. How fast is his…

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Q: A steel ball of mass 4 kg is dropped from a building. If the air resistance is equal to 0.371v, what…

A: Mass of ball m=4 kg Air Resistance =0.371v Now, the formula to find  velocity of ball at time t is:…

Q: 4. A man 6 ft tall walks away from a lamp post 16 ft high at the rate of 5 miles per hour. How fast…

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Q: A searchlight, 1/2 mi from a straight shore, rotates at the rate of 2 rev/min. How fast is the spot…

A: Let the angle formed by line AB with the line AC is x  in the triangle ABC,   So, from the tangent…

Q: How fast is the distance

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Q: A boat moves at a rate of 13 mph in still water. If the river's current flows at a rate of 3mph, how…

A: given that: A boat moves at a rate of 13 mph in still water. the river's current flows at a rate of…

Q: A kite flying 80m high is blown horizontally by the wind at a velocity of 5m/s. If the string is…

A: We are given that a kite flying at 80m height is blown horizontally by the wind at a velocity of…

Q: . A 6-ft tall man is walking away from a 15-ft tall street lamp at the rate of 5 ft/sec. How fast is…

A:

Q: A worker bee flies of a mile in of an hour. At this rate, how far can the bee fly in 1 hour?

A: given that a worker bee flies 58 of a mile in 116  of an hour find out how far the bee can fly in an…

Q: The radius of the tires of a car is 18 inches, and they are revolving at the rate of 673 revolutions…

A: To find the circumference of the tyre.

Q: At what rate is water pouring into a rectangular bathtub with base 73 ft² if the water level rises…

A: Given : The base of rectangular bathtub = 73ft2 The rate at which water level is rising = 1.2…

Q: A kite travels upwards at 30 mph, while a kid runs away at 6mph. What rate is the distance between…

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Q: On the planet Gzyx, a ball dropped from a height of 20 ft hits the ground in 2 s. If a ball is…

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Q: A mountain climber is about to haul up a 50-m length of hanging rope. How much work will it take if…

A: It is given that the mountain climber is about to haul up a 50-m length of hanging rope.Find the…

Q: A man on a wharf, 4.2 m above the water surface, is pulling a rope tied to a boat at the rate of…

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Q: How fast is the surface area of a cu

A: Given that : Edge of a cube = 30 cm Th edge changing at the rate of 3 mm per second.

Q: Find how fast the area of a triangle increases as the length of the base of the triangle increases…

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Q: A jogger jogs around a circular track with a diameter of 375 m in 16 minutes. What was the jogger's…

A: Given:  Diameter of circular track =375 m So, radius of the track

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.