A hemispherical dome with a diameter of 60 meters has to receive a coat of 5 cm of paint. Use differentials to approximate the amount of paint needed.

Q: A circular plate is measured to have a diameter of 3.5 feet if the measurement could be off by as…

A: Given, The diameter of the circular plate,d=3.5feet The radius of the circular…

Q: A car is traveling at 100 km/h when the driver sees an accident 80 m ahead and slams on the brakes.…

A: Given data:   The initial speed of the car is u=100 km/h. The given distance is s=80 m=0.08 km.…

Q: 1200ml of IV fluid must be administered to the patient over an 8 hour period, if the calibration…

A:

Q: One side of a right triangle is measured as 9.5 inches and opposite angle equal to 26.75° with 0.25°…

A:

Q: A closed rectangular box is to have an inside length of 8 meters, an inside width of 5 meters, an…

A: We need to find the material needed to make a container.

Q: Find the work done by the gas with an initial volume of 3 cubic feet and a pressure of 1000 pounds…

A:

Q: A plane is flying at a constant altitude of 1 mile and a speed of 400 mph toward an observer on the…

A: The plane is flying at a constant altitude of 1 mile. Let x be the horizontal distance and y be the…

Q: The square of x varies directly as the cube of y.  When x=2 and y=4, find y when x=8?

A: Given square of x varies directly as the cube of y, thus x2=ky3, where k is the constant of…

Q: percentage of the total number of shafts will be tolerable?

A:

Q: A boundary stripe 3 in. wide is painted around a rectangle whose dimensions are 100 ft by 260 ft.…

A: Please see the explanation below

Q: the flight from Seattle to New York, with a tailwind, takes 5 hrs 15 min, and the return flight take…

A: answer is in next step

Q: One side of a right triangle is measured as 9.5 inches and opposite angle equal to 26.75° with 0.25°…

A: Given : θ = 26.75°

Q: A truck gets 600/x miles per gallon when driven at a constant speed of x mph, where 40 < x <…

A: It can go 600/x miles in 1 gallon. And cost  of 1 gallon is 2.80.So cost for (600/x) miles =…

Q: The weight of a person relative to the Earth is inversely proportional to the square of the person’s…

A: According to given information Where W is weight (in pounds) of astronaut, d is distance (in miles)…

Q: Gordon is making a chocolate dome by coating a plastic dome with a layer of chocolate 2 mm thick. If…

A: Answer: 40π cm³ or 125.66 cm³

Q: An automobile weighing 4500 lb is driven down a 5° incline at a speed of 60 mi/h when the brakes are…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Many areas of Northern California depend on the snowpack of the Sierra Nevada mountain range for…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: the flight from Seattle to New York, with a tailwind, takes 5 hrs 15 min, and the return flight take…

A: This question can be solved using the concept of speed, time and distance.

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: An ambulance and a police car were parked 670 meters apart. Simultaneously, the ambulance…

A: Given that An ambulance and a police car were parked 670 meters apart. Simultaneously, the ambulance…

Q: The volume of water in a hemispherical bowl of radius 30cm is given by V =36x2 – x³ ) where x - X cm…

A:

Q: The original 24 m edge length of a cube decreases at the rate of 2 m divided by two minutes When x=1…

A:

Q: A plane is flying at a constant altitude of 1 mile and a speed of 400 mph toward an observer on the…

A:

Q: The horsepower (hp) that a shaft can safelytransmit varies jointly with its speed (in revolutions…

A: Let the diameter of the shaft is d and the speed is 's' and horsepower be h According to the…

Q: he radius of a right circular cylinder of height 16 inches and radius 4 inches decreases by 5 inch…

A: volume of the right circular cylinder is given byV=πr2hHere we have fixed height = 16 inches ,…

Q: use differentials to estimate the amount of metal in a cylindrical can that is 12cm high and 8cm in…

A:

Q: a hemischperical dome has a diameter of 50 m. use differentials to estimate the amount of paint…

A: the problem concerns an application of differentials

Q: If Ahmet travels half of the road at 90 km/h in 1 hour and the remaining half at 60 km/h, his…

A:

Q: Calculate the surface of a soccer field, but its measurements are unknown. To determine what the…

A:

Q: Use differentials to approximate the change in the area of a square if the length of its side…

A: Area of a square with a side length of x cm is, Ax=x2 Here, x=5 cm & ∆x=5.32-5=0.32 cm Now…

Q: One side of a right triangle is measured as 9.5 inches and opposite angle equal to 26.75° with 0.25°…

A:

Q: The side of an equilateral triangle decreases at the rate of 1 inch per second. When the area is 100…

A:

Q: The velocity v of a falling object varies directly to the time, t, of the fall. If after 2 seconds,…

A:

Q: The force of the wind blowing on a vertical surface varies jointly as the area of the surface and…

A:

Q: The kinetic energy of an object varies jointly with its mass and the square of its velocity. What…

A: let: Kinetic energy be k Mass be M. Velocity be V The kinetic energy is directly proportional to…

Q: A car is traveling at  100km/h when the driver sees an accident80 m ahead and slams on the brakes.…

A:

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

A:

Q: The Spicee Pepa’Roni Pizza Company serves large circular pizzas with a diameter of 18 inches. Use…

A: Diameter of circular pizza is 18 inches and the diameter has a measurement error of +- 0.050…

Q: A small hole on the sack of rice cause some rice to be wasted while the sack is being lifted…

A:

Q: An express train reducing its velocity to 40 km./h. , has to apply the brakes for 50 sec.. If the…

A: Rate of change of velocity is called acceleration. When there will be retardation,the sign of…

Q: The intrest on an investment varies directly as the rate of intrest. If the intrest is $53 when thw…

A: Simplification of simple interest

Q: The surface area of a balloon varies directly as the square of its radius. The area is 1256 cm when…

A: given that A1=1256 cm square, r1=10 cm,r2=4cm,A2=? according to question surface area Aα…

Q: A rectangular box with square base is 10 cm tall and 4 cm wide. If its height is increased by 0.5…

A: Calculate the area of base of box.

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

A: As per Bartleby guidelines rule I am answering only first question as both question is not a subpart…

Q: Suppose the cost incurred in operating a cruise ship per hour is a+bv^33 dollars, where a and b are…

A: ANSWER :

Q: One side of a right triangle is measured as 9.5 inches and opposite angle equal to 26.75° with 0.25°…

A: We need to choose correct option.

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.