The altitude of a triangle is increasing at a rate of 33 centimeters/minute while the area of the triangle is increasing at a rate of 2.52.5 square centimeters/minute. At what rate is the base of the triangle changing when the

Q: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is…

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

Q: The half-life of Radium-226 is 1590 years. If a sample contains 300 mg, how many mg will remain…

A: Half life = 1590 years Inititial amount of sample (a0) = 300 mg Final amount of sample (af) = ?

Q: A roasted turkey is taken from an oven when its temperature has reached 185 Fahrenheit and is placed…

A: Given that

Q: A roasted turkey is taken from an oven when its temperature has reached 185° Fahrenheit and is…

A:

Q: Suppose that the concentration of a bacteria sample is 60,000 bacteria per miliditer. f the…

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Q: A patient is adminstered a dose of 70 mg of a drug. If the body naturally disposes of 3% of the drug…

A: Given- Administered drug dose = 70mg  Naturally disposing ability of the drug every hour is = 3%  To…

Q: A patient is adminstered a dose of 60 mg of a drug. If the body naturally disposes of 6% of the drug…

A: Given query is to find rate of change after 8 hours.

Q: The altitude of a triangle is increasing at a rate of 1 centimeters/minute while the area of the…

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Q: The altitude of a triangle is increasing at a rate of 3 cm/minute while the area of the triangle is…

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Q: A boy 5 ft tall is walking away from a streetlight at the rate of 3 ft/sec. If the light is 12 above…

A: In the question it is asked to find the rate at which shadow is lengthening for the movement of boy…

Q: The population of a certain country is known to increase at a rate proportional to the number of…

A: Solve by making differential equation

Q: The half-life of Radium-226 is 1590 years. If a sample contains 200 mg, how many mg will remain…

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Q: A man 5.5 feet tall is walking at a rate of 4 feet/sec away from a light that is 24 feet above the…

A:

Q: A roasted turkey is taken from an oven when its temperature has reached 185 Fahrenheit and is placed…

A: Given, A roasted turkey is taken from an oven when its temperature has reached 185 Fahrenheit and is…

Q: The length of a rectangle is increasing at a rate of 5 meters per minute and the width is increasing…

A: Explanation of the answer is as follows

Q: A ladder 10 meters long is leaning against a wall. If the bottom of the ladder is being pushed…

A: solution is given below .

Q: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is…

A: Area of triangle= 12b hb= baseh=height

Q: The altitude of a triangle is increasing at a rate of 3 cm/min while the area of the triangle is…

A: Given that  The altitude of a triangle is increasing at a rate of 3 cm/min The area of the triangle…

Q: An amount was invested at r% per quarter. What value of r will ensure that accumulated amount at the…

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Q: A 10 foot ladder is leaning against a wall. If the top of the ladder slides down the wall at a rate…

A: We have to find rate of change of ladder moving along the ground when the bottom of the ladder is 5…

Q: A mountain in Jefferson County is eroding and losing elevation at a rate of 5% every millennium. If…

A: The given question can be solved as shown in step2.

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: The altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the…

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Q: The radioactive element Carbon-14 has a half-life of approximately 5730 years. A fossil is a measure…

A:

Q: The height of a triangle is increasing at a rate of 4 cm/s while the area of the triangle is…

A: Let the height, base and area of a triangle be 'h', 'b' and 'A' Given, dhdt=4 cm/sdAdt=56 cm2/s

Q: Find the rate at which the square root of a number increases as the number increases.

A:

Q: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is…

A: Solution: Given that  A=160cm2 ,h=10cm and dA/dt= 2cm2/min  ,dh/dt=1cm/min

Q: The altitude of a triangle is increasing at a rate of 2 centimeters/minute while the area of the…

A: Given that increasing altitude of the triangle dh=2cm/min The increasing area of the triangle dA =…

Q: A man walks across a bridge at a rate of 4 fps as a boat passes directly beneath him at 8 fps. If…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: The radioactive element Carbon-14 has a half-life of approximately 5730 years. A fossil is measure…

A: Given : Half life of carbon- 14 is 5730 years

Q: The base of a right triangle is decreasing at a rate of 2 meters per hour and the height is…

A:

Q: The altitude (or height) of a triangle is increasing at a rate of 2.5cm/min while the area of the…

A: It is known that, the area of the triangle with the base b and altitude a is

Q: A limestone stalactite grew in length at a rate of – of a millimeter per year. At this rate, how…

A: Given the limestone is growing at a rate of 18mm per year i.e. 0.125 mm every year

Q: A ladder placed up against a wall is sliding down. The distance between the top of the ladder and…

A: The given information can be represented by the diagram:Where h represents the distance between the…

Q: The altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the…

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Q: A $1500 washing machine in a laundromat is depreciated for tax purposes at a rate of $125 per yeaar/…

A: It is given that a $1,500 washing machine in a laundromat is depreciated for tax purpose at a rate…

Q: Suppose a tank contains 600 gallons of salt water. If pure water flows into the tank at the rate of…

A: Given a tank contains 600 gallons  of salt water. Pure water flows into the tank at the rate of 7…

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

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Q: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is…

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Q: During a research experiment, it was found that the number of bacteria in a culture grew at a rate…

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Q: An amount was invested at r% per quarter. What value of r will ensure that accumulated amount at the…

A:

Q: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is…

A: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is…

Q: Each side of a square is increasing at a rate of 3 cm / s . At what rate (in cm^ 2 /s) is the area…

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Q: Given 100 grams of bacteria that decreases at a rate of 1/2 per year. What would be an appropriate…

A: Initial value: 100, Rate: 1/2 per year(decreases). So, the population equation is p(t)=100e-12t…

Q: The altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the…

A: Given that the altitude of a triangle is increasing at a rate of 3 centimeter/ mimute.⇒dhdt=3…

Q: A patient is adminstered a dose of 60 mg of a drug. If the body naturally disposes of 6% of the drug…

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Q: A car purchased for $14, 000 depreciates at a constant rate of 12 % . What will be the value of the…

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Q: Each side of a square is increasing at a constant rate of 4 centimeters per second. At what rate is…

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Q: The requirement for computer server capacity at a particular company is expected to increase at a…

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