Show that at some instant during a 2-hour automobile trip the car’s speedometer reading will equal the average speed for the trip.

Q: An aeroplane left 30 minutes later than its scheduled time; and in order to reach its destination…

A: let the usual speed of aeroplane = x km/hr and the increased speed = (x+250) km/hr total distance…

Q: Jack drives from his house to CNSC - Abaño Campus at the rate of 20 kph. Upon reaching the school,…

A:

Q: A 5-foot-tall person is walking towards a 7-foot-tall lamppost at a uniform rate of 2 feet per…

A:

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

A:

Q: A hot-air balloon is 150 ft above the ground when a motorcycle (traveling in a straight line on a…

A: Let x be the distance the motorcycle has traveled. Let y be the height of the balloon above the…

Q: A rabbit is traveling at a pace of 250 meters per hour. How fast is the rabbit  traveling in…

A: Given:    Distance = 250 meter per hour

Q: The edge x of a cube is measured with an error of at most 0.1%. What is the maximun corresonding…

A:

Q: A vehicle purchased for $32,500 depreciates at a constant rate of 5% per year. Determine the…

A: purchased cost of vehicle=$32,500Rate of depreciation=55 per yearNumber of years after purchased =10…

Q: Find the rate at which the water level is rising when the water level is 2 cm.

A:

Q: Each side of a square is increasing at a rate of 6 cm/s . Atwhat rate is the area of the square…

A:

Q: 4. What constant acceleration is required to increase the speed of a car from 30 mi/h to 50 mi/h in…

A:

Q: The pressure exerted by a certain liquid at a given point varies directly as the depth of the point…

A: Given            The pressure at 70 feet=140

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: Suppose a person carrying a corona virus returns to an isolated housing colony of 10,000 people. If…

A:

Q: - An object travels 8 miles in 20 minutes at a constant speed. What is the obiect's speed in miles…

A: Object travels 8 miles in 20 mins 20 mins = 20/60 hrs = 1/3 hrs Then speed = dist / time

Q: Suppose you drive from Here to There at a speed of 30 miles/hour and then drive backfrom There to…

A: Given Data: Let the distance from Here to There be 'x' miles We know that Time=DistanceSpeed   Time…

Q: The mean of the differences between before and after measurements is denoted as - D - Xd -…

A: Paired t-test:

Q: Compute ? and find out if age (in years) has a relation to the blood pressure of an individual

A: Use the Excel and Perform the Regression. Followings are the Steps to perform the Regression 1) Open…

Q: A ball is being launched into the air. 21 feet away from the launch site is a camera. If the ball is…

A: Suppose y represents the height of the ball and θ be the angle of elevation.As the ball is…

Q: The pressure exerted by a certain Iiquid at 0 given point varies directly as the depth of the point…

A: Given pressure of liquid at a point is directly proportional to the depth of the surface at the…

Q: the top of a 25 foot ladder is sliding down a vertical wall at a constant rate of 3 feet per minute.…

A: Given  c=25 ft b= 7ft dbdt=3 ft/minute dcdt=0

Q: Each side of a square is increasing at a rate of 7 cm/s. At what rate (in cm2/s) is the area of the…

A: We have to find rate of change of area

Q: Can you be specific about where it increases and decreases?

A:

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

A:

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: How far above the surface of the Earth would he have to go to "lose" 13 % of his body weight?…

A: Follow the procedure given below.

Q: Assume the learning rate for new skills is proportional to the difference between the maximum…

A: The learning rate for new skills is proportional to the difference between the maximum potential for…

Q: A fence 20 feet tall runs parallel to a tall building at a distance of 5 f diagram

A: Given, a fence 20 feet tall runs parallel to a tall building at a distance of 5 it from the building…

Q: The volume of a cube decreases at a rate of 0.75 ft3/min. What is the rate of change of the side…

A: Consider a cube with side 'a' The rate at which the volume of cube is decreasing is 0.75 cubic feet…

Q: Use linear approximation to approximate the value of 65 without the need for a calculator.

A: This question can be solved using the concept of linear approximation.

Q: A stone was dropped off a cliff and hit the ground with aspeed of 120 fts. What is the height of…

A: Initial velocity = 0 ft/s Final velocity= 120 ft/s Acceleration= a= 32.2 ft/s^2 Let the height = h…

Q: How fast is the tip of her shadow

A:

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

A:

Q: How strong is the relationship between the average monthly temperature and the number of homicides…

A: The question is based on a correlation Given data :

Q: The fuel efficiency,  in miles per gallon,  of an American- made car is it discrete or continuous?

A: We have to identify type of variable.

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 the electric currect​ flow, it is found that the resistance​ (measured in the units called​ ohms)…

A: Given: Resistance R1=0.422 ohm Diameter D1=0.01 inches Given resistance offered by a fixed length…

Q: What constant acceleration is required to increase the speedof a car from 30 mih to 50 mih in 5 s?

A: Given: u=30 mihour, v=50 mihour, t=5 second for finding acceleration, first we convert given…

Q: An object is dropped from rest at a height of 350 feet on a planet where the acceleration due to…

A:

Q: Assuming that moving away from the mailbox is the positive direction; if ăn object travels 20 metres…

A: Since you want it immediately solved below  I have explain the steps also  It is basic Physics

Q: The pressure exerted by a certain liquid at a given point varies directly as the depth of the point…

A:

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

A:

Q: In the electric current​ flow, it is found that the resistance​ (measured in the units called​ ohms)…

A:

Q: The pressure exerted by a certain liquid at a given point varies directly as the depth of the point…

A:

Q: The width of a rectangular piece of land is measured to be 48.25 feet.  If the measurement has a…

A: Given: The width of a rectangular piece of land is 48.25. The relative error(R.E) is at most 2%.…

Q: A life raft, set adrift from a sinking ship 150 miles offshore, travels directly toward a Coast…

A: Time , distance and speed is related using a formula time=distancespeed .At the same time , both the…

Q: If the temperature on the third day of the month is 50 degrees Fahrenheit and 82 degrees by the 11th…

A: Given: The temperature on the third day of the month is 50 degrees Fahrenheit and 82 degrees by the…

Q: If a number decreases from 88 to 11, what is the rate of decrease (as a %)?

A: A number decreases from 88 to 11

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.