a sphere has a volume of 36 pie cubic meters. the rate of change i volume is 9 pie cubic meters per minute. find the rate of change in area of the shpere

Q: The number of gallons of water, W, used when taking a shower varies directly as the time, t, in…

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Q: The volume, V, of a gas varies inversely as the pressure, P, on it. The volume is 2540 cm3  when the…

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Q: A The cost of chocolates is directly proportional to the number of pounds. If 5lbs of chocolates…

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Q: man goes upstream at 6 km/h and the rate of the stream is 2 km/h, then the man’s speed is still…

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Q: The number of gallons of water, W, used when taking a shower varies directly as the time, t, in…

A:

Q: The volume of blood, B, in a person’s body varies directly as body weight, W. A person who weighs…

A: Given that B varies directly as W.  So, B=KW   Given that, For W=160, B=5  So, 5=K(160) K=5/160=…

Q: The height of a right circular cylinder is 50 inches and decreases at the rate of 4 inches per…

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Q: Two passengers leave the airport at Kansas City, Missouri. One flies to Los Angeles, California, in…

A: Let speed of the plane to Los Angeles= x mphSo,  speed of the plane to New York City= (x+22) mph

Q: The interest on an investment varies directly as the rate of interest. If the interest is $40 when…

A:

Q: A measure of malnutrition, called the pelidisi, varies directly as the cube root of a person's…

A: Let P, W and H be the pelidisi, weight and height of a person respectively. Now according to given…

Q: The volume of gas in a gas shock absorber varies inversely with the pressure and directly with the…

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Q: A certain medicine is given in an amount proportional to a patient's body weight. Suppose a patient…

A: A patient weighing 132 pounds requires 143 milligrams of medicine. So, patient weighing 1 pounds…

Q: A certain medicine is given in an amount proportional to a patient's body weight. Suppose a patlent…

A: A certain medicine is given in an amount proportional to a patient's body weight.Suppose a patient…

Q: As the number of hours since you ate protein increases from 2 to 2.75 hours what is the average rate…

A: Given: At 2 hours B1=1100 mg/L At 2.75 hours B2=1025 mg/L

Q: For each ratio of the side of the model and the corresponding side in the real-life building,…

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Q: The number of klograms of water in a human body varies directy as the mass of the body. A 90-kg…

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Q: Translate the statement of variation into an equation, and use k as the constant of variation: The…

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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 value of y is directly proportional to the value of x. Given y = 11 when x = 77.

A: y and x are directly proportional.

Q: The volume of a gas V held at a constant temperature in a closed container varies inversely with its…

A: The volume of a gas V held at a constant temperature in a closed container varies inversely with its…

Q: The number of kilograms of water in a human body varies directly as the mass of the body.  An 87​-kg…

A: to determine.

Q: The table shows the relationship between the number of parents in a household and the number of…

A: Given Data : Number of parents Number of children 0 0 1 3 1 5 2 4 2 1 For the number…

Q: 9.) To water a lawn adequately, it takes approximately 554 gallons of water for every 500 square…

A: Calculation are as follows

Q: A quantity, y, varies directly as x. when Y equals 10, X equals six. find X when Y equals 14

A: Solution -  According to question y varies directly as x -y α xy = kx ....................(1)where k…

Q: Priya uses 1 tablespoon of sugar for every 4.25 cups of flour to make bread dough. What is the…

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Q: A manufacturing company found that the demand for its product varies inversely as the price of the…

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

Q: The time it takes to travel a certain distance varies inversely with the rate of speed. It takes 8…

A: Given (13) The deposited amount is directly proportional to the interest received. The deposited…

Q: The number of gallons of water, W, used when taking a shower varies directly as the time, t, in…

A: Given:A Shower  lasting 5 minutes uses 5 gallons of water13 minutes=?

Q: The cost of a train ticket varies directly as the number of miles, M, of the trip. A 400-mile trip…

A: The cost of 400 mile trip is $180 We have to calculate the cost of 360 mile trip.

Q: Ella's motorboat can travel 35mi/h in still water. If the boat can travel 6 miles downstream in the…

A: Given:-Speed of motorboat in still water                = 35mi/h

Q: A recipe calls for 3 scoops of fruit to make 9 jello bowls. What is the constant of proportionality…

A: Given 3scoops of fruits make 9jello bowls

Q: A recipe calls for 15 oz of flower for every 8 oz of milk. Is the relationship between oz of…

A: Given that a recipe calls for 15 oz. of flour for every 8 oz. of milk. From given statement it can…

Q: The US annual per capita consumption of coffee was 33.4 gallons in 1970. By 2007, the amount had…

A: To find the average rate of change in coffee consumption per capita from 1970 to 2007

Q: A measure of malnutrition, called the pelidisi, varies directly as the cube root of a person's…

A: The unit of measurement is Pelidisi, and 1 Pelidisi (P) is directly proportional to cube root of a…

Q: During your trip to New York City (320 miles away), you drive at a constant rate of 60 mph. During…

A:

Q: The volume of a cube is increasing at 24 cubic inches per minute. What is the rate of change of its…

A: Recall:  Volume of the cube = a3 ; where 'a' is the sides of the cube.

Q: The weight of a can of soup is jointly proportional to its height and to the square of its diameter.…

A: Given according to question

Q: the radius and height of a cylindrical container with volume 70 cubic inches and lateral surface…

A: Volume of  cylindrical container = πr2h =  70 inch3               .......................(1) Lateral…

Q: measure of​ malnutrition, called the​ pelidisi, varies directly as the cube root of a​ person's…

A:

Q: The number of kilograms of water in a human body varies directly as themass of the body. A 96-kg…

A:

Q: A pennant flag that is 2 inches high with a base of 1.5 inches has an area of 1.5 square inches. The…

A: Explanation of the answer is as follows

Q: Find a direct variation model that relates y and x. x = −28, y = 4

A: A direct variation model is of the form y=kx  Where k=constant

Q: A person x inches tall has a pulse rate of y beats per minute, as given approximately by y =…

A: A person  x inches tall has  a pulse rate of y beats per miniute , is given by y=576 x-13      for…

Q: Find a direct variation model that relates y and x. x = 10, y = 20

A: Explanation :-  Direct Variation:- If y is directly proportional to x, then we write y = k x where k…

Q: A classroom of 30 students has an air conditioning system that moves 450 cubic feet of air per…

A: Givennumber of students=30air conditioning system that moves= 450 cubic feet of air per minute

Q: Pretap puri rowed 22 miles down a river in 2 hours, but the return trip took him 5 in a half hour.…

A: Let x= Speed when he is rowing in still water Let y= Speed of the water Distance= Speed × Time…

Q: A text message plan costs $4 per month plus $0.15 per text. The monthly cost for x text messages can…

A: Cost of plan per month = 4$Cost of one text message = 0.15$Cost of x number of text messages =…

Q: The weight W of an object varies inversely as the square of the distance d from the center of the…

A: If you like the solution then please give it a thumbs up... The Answer is:      Result:   w = 112.69…

Q: The number of kilograms of water in a human body varies directly as the mass of the body. A 90-kg…

A: Direct proportion is the relationship between two variables whose ratio is equal to a constant…

Q: Find the average rate of change    4x^2-7 on [1,b]

A: Formula used: