# Math (related rates)

137,371 results

**differential calculus**

ADIABATIC EXPANSION when a certain polyatomic gas undergoes adiabatic expansion,its pressure p and volume V satisfy the equation pV^1.3 =k,where k is constant.Find the relationship between the related rates dp/dt and dV/dt. this is a problem of related rates please show all ...

**Math - Calculus**

Im trying to understand related rates here and im getting stuck at this word problem. It says if V is the volume of a sphere with radius r, and the volume of the sphere decreases as the time passes. express dV/dt in terms of dr/dt. Describe the relationship in words. I don't ...

**math**

This is actually maths homework but the question sounds like geography: 1)Why do you think the UK is so high up in the list for mortality rates due to drug-related diseases. What do you think we can do to lower drug-related deaths in the UK? 2)Why do you think the UK is so ...

**Related Rates Problem**

A runner sprints around a circular track of radius 150 m at a constant speed of 7 m/s. The runner's friend is standing at a distance 300 m from the center of the track. How fast is the distance between the friends changing when the distance between them is 300 m? (Round to 2 ...

**maths**

This is actually maths homework but the question sounds like geography: 1)Why do you think the UK is so high up in the list for mortality rates due to drug-related diseases. What do you think we can do to lower drug-related deaths in the UK? 2)Why do you think the UK is so ...

**maths**

This is actually maths homework but the question sounds like geography: 1)Why do you think the UK is so high up in the list for mortality rates due to drug-related diseases. What do you think we can do to lower drug-related deaths in the UK? 2)Why do you think the UK is so ...

**maths**

This is actually maths homework but the question sounds like geography: 1)Why do you think the UK is so high up in the list for mortality rates due to drug-related diseases. What do you think we can do to lower drug-related deaths in the UK? 2)Why do you think the UK is so ...

**Maths**

This is actually maths homework but the question sounds like geography: 1)Why do you think the UK is so high up in the list for mortality rates due to drug-related diseases. What do you think we can do to lower drug-related deaths in the UK? 2)Why do you think the UK is so ...

**maths**

This is actually maths homework but the question sounds like geography: 1)Why do you think the UK is so high up in the list for mortality rates due to drug-related diseases. What do you think we can do to lower drug-related deaths in the UK? 2)Why do you think the UK is so ...

**Calculus - Related Rates**

Bacteria are growing in a circular colony one bacterium thick. The bacteria are growing at a constant rate, thus making the area of the colony increase at a constant rate of 12 mm sq. per hour. Find an equation expressing the rate of change of the radius as a function of the ...

**Calculus (related rates)**

Find dy/dt when y = 2x2 + 2x + 4 and dx/dt = 14 when x = 7.

**Calculus (related rates)**

Find dy/dt where y = 2 sqrt(x)-4 and dx/dt = 9 when x = 4.

**math/rates and unit rates**

I can't figure out my homework because I don't know what rates & unit rates are.

**Sociology**

What is the effect of industrialization on population growth rates? A. It decreases growth rates B. It stabilizes growth rates C. It increases growth rates D. There is no correlation between industrialization and growth rates My text says that industrialization decreases birth...

**math/unit rate**

please help me find the definition for unit rate. It depends upon what kind of unit. Go to www.google.com and type in unit rate. There is one source there for hotel unit rates, another for unit rates for the medical field, etc. You may also go to www.dictionary.com and type in...

**Math (related rates) help?**

A 13ft ladder slides down a wall at 2ft/sec when it is 12 ft above the ground. Find the rate at which the angle it makes with the ground changes at this moment?

**Business/Economics**

What is strengths and weaknesses regarding monetary polcies, and how is related to treasury bill and note rates?

**Calculus Related Rates**

A balloon is 70 feet from an observer which is rising at 15 ft/sec. At 5 seconds after lift off, how fast is the angle of elevation changing?

**math-rates**

1,680 kilobytes in 4 minutes ..........how do u get it....... lesson 6-2 ......rates....6th grade pg. 289 ......#2

**math-rates**

.....rates....6th garde.....lesson6-2 5pounds for $2.49

**social studies**

1)An interest rate is a special type of? a. loan b. price c. bank d. service 2) How does a compound interest rate differ from a simple interest rate? a. Compound interest rates pay more interest over time b. Compound interest rates are calculated only once a year c. Compound ...

**Business**

Recently, it was observed that people have started saving more rather than spending. This has impacted the demand for luxury goods and services. The decline in the demand led to unemployment in the related sectors. What can be a primary solution to reduce the unemployment ...

**Calculus Related Rates**

Mulch is dumped into a pile with height always 1/3 the diameter at a rate of 30 ft^3/hr. How fast is the height increasing when it is 6 ft tall?

**Riddle**

How are these two people related to each other? If a man's mother's nephew is a woman's father's cousin, how closely related are the man and woman related? I think they would be related by marriage?

**Related rates math in calculus**

A square sheet of cardboard has sides 18cm. Four equal portions are cut away from the corner and discard. The sides are then twiced up to form a restangular box. What are the dimension of the box formed that will have max volume?

**Chemistry**

Just a few questions about rates of reaction. A) Why are the units for average and instantaneous rates the same? -because they are both measures of how quickly a reaction is occuring per unit time B) For a given set of data, two students determined different average reaction ...

**Social studies **

How die a compound interest rate differ from a simple interest rate? Compound interest rates pay more interest over time Compound interest rates are calculated only once a year Compound interest rates ideally lower than simple interest rates•• Compound interest rates apply...

**related rates word problems**

"A man of height 2.2 meters walk away from a 5-meter lamppost at a speed of 1.2 m/s. Find the rate at which his shadow is increasing in length. " what is the answer to this? if anyone can help that would be great

**Math**

Rates And unit rates 120mi. to 10 gal of gas I'm not sure what you are asking, but this reduces to 12 miles per gallon. Does that help? If not, repost your question in different terms. Thanks for asking.

**Chemistry 152**

to obtain the rate of the reaction 5Br-(aq) +BrO3- (aq) + 6H+ (aq) ---3Br2(aq) + 3H2O(l) you might follow the Br concentration or the BrO concentration.How are the rates in terms of these species related?

**Math - Related Rates**

Air is being pumped into a spherical balloon at a rate of 2 cubic meters per minute. At what rate is the radius changing when the volume of the balloon is 36pi cubic meters?

**comp**

can you help me Underline the topic sentence for this paragraph??? Interest rates have a decidedly large impact on purchasing decisions. Interest rates affect our purchases in a couple different ways. Interest rates are what you pay for the use of someone else's money. When ...

**Calculus Related Rates**

Two people leave from the same spot and walk at 4 ft/sec going north and 5 ft/sec northwest. At 30 seconds, how fast is the distance between them changing??

**Macroeconomics - inflation vs unemployment!!!!**

I had to graph both the U.S. inflation and unemployment rates on the same graph between the years 1990-2004. I need to analyze the data. How are the two rates related? How does one affect the other, if so? One way to analyze the data is to put the inflation data on one axis, ...

**finance**

Which of the following is true with regards to rising interest rates. A. Use long-term loans to take advantage of current low rates. B. The term of the loan is ot impacted by rising interst rates. C. Use short term loans to take advantage of low iterest rates. D. Select long-...

**Calculus**

Related rates: The volume of a cube is increasing at the rate of 40 mm^3/s. How fast is the surface area of the cube increasing when each edge is 10 mm?

**Calculus Related Rates**

If a spherical balloon is inflated and its volume is increasing at a rate of 6 in^3/min. What is the rate of change of the radius when the radius is 3 inches??

**MATh/UNiT RATES**

FIND THE UNIT RATES AND WRITE THEM BOTH IN FRACTION AND WORD FORM. 7.Gabrielle bikes 78 miles in 6 hours.

**Related Rates Calculus**

A man 1.8 m tall is walking at a rate of 1.5 m/s away from a streetlight. It is found that the length of his shadow is increasing at a rate of 0.9 m/s. How high above the ground is the streetlight?

**calculus related rates**

Boyle’s law for the expansion of a gas is PV = k, where P is the pressure (in pounds per unit of area), V is the volume of the gas, and k is a constant. Find the expression that shows the rate of change of the pressure as related to the rate of change of the volume. dP/dt...

**Related rates**

Two people start from the same point. One walks east at 1 mi/h and the other walks northeast at 2 mi/h. How fast is the distance between the people changing after 15 minutes?

**Introduction to Finance: Harvesting the Money Tree**

7) The problem in stretching out the maturity of marketable securities is that A. long-term rates higher than short-term rates. B. interest rates are generally lower. C. you are legally locked in until the maturity date. D. there is greater possibility of loss. I think B

**Finance**

which of the following is true with regards to rising interest rates? A. Use Long-term loans to take advantage of current low rates. B. The term of the loan option is not impacted by rising interest rates. c. Use Short-term to take advantage of low interst rates. D. Select ...

**Calculus**

Related Rates Problem An isosceles triangle with a base of 20root3 cm long. If the length of the leg decreases at rate 3 cm/h, find the rate of decreasing of the area of the triangle in the instant at which the triange becomes equilateral.

**Calculus Related Rates**

Two people leave from the same spot and walk at 4ft/sec going north and 5ft/sec going northwest. At 30 seconds, how fast is the distance between them changing?

**calcus**

Related Rates Problem An isosceles triangle with a base of 20root3 cm long. If the length of the leg decreases at rate 3 cm/h, find the rate of decreasing of the area of the triangle in the instant at which the triange becomes equilateral

**Related rates**

Hey, I have a question on related rates and I'm a little rusty at them. I have an idea how to do this one but at a certian point i get stuck. The question is: Two cars leave the intersection, the first travelling south at 40 km/hr and another travelling west at 90 km/hr. How ...

**Science**

What conclusion can be drawn about the relationship between the arrangement of elements on the periodic table and the patterns observed in their priorities? A. Properties of elements are related to atomic numbers. B. Properties of elements are related to ductility. C. ...

**Math, Related Rates**

Consider the hyperbola y = 1/x and think of it as a slide. A particle slides along the hyperbola so that its x-coordinate is increasing at a rate of f(x) units/sec. If its y-coordinate is decreasing at a constant rate of 1 unit/sec, what is f(x)? -I arrived at the answer f(x...

**Math related rates **

Water is poured into a conical paper cup at the rate of 3/2 in3/sec (similar to Example 4 in Section 3.7). If the cup is 6 inches tall and the top has a radius of 4 inches, how fast is the water level rising when the water is 2 inches deep? I got (81)/(128*3.14) but it keeps ...

**science**

1) What conclusions can be drawn about the relationship between the arrangement of elements on the periodic table and the patterns observed in their properties? :Properties of elements are related to atomic numbers.*** :Properties of elements are related to ductility. :...

**Calculus 1**

Related Rates Problem: Two cars start moving from the same point. One travels south at 40 mi/h and the other travels west at 30 mi/h. At what rate is the distance between the cars increasing three hours later?

**Calculus 1**

Related Rates: If a snowball melts so that its surface area decreases at a rate of 6 cm2/min, find the rate at which the diameter decreases when the diameter is 11 cm.

**Related rates-calculus**

You are eating soup from a hemispherical bowl of radius 6cm at a constant rate of 40ml/min. Find the rate at which the soup level is going down in depth of the soup is 2cm.

**Calculus- Related rates**

A spherical balloon is inflated at the rate of 1 cm^3 per minuter. At the instant when the radius r=1.5, (a.) how fast is the radius increasing? (b.) how fast is the surface area increasing?

**calculus (related rates)**

A particle moves in the plane along the curve y=xln(x). At what rate is the distance from the origin increasing at the moment its x-coordinate is 2 cm and its x-coordinate is increasing at a rate of 17 cm/sec?

**statistics**

Investment analysts generally believe the interest rate on bonds is inversely related to the prime interest rate for loans; that is bonds perform well when lending rates are down and perform poorly when interest rates are up. Can the bond rate be predicted by the prime ...

**calc related rates**

A street light is at the top of a 18 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 6 ft/sec along a straight path. How fast is the tip of her shadow moving when she is 45 ft from the base of the pole?

**Stats**

Question 3 Investment analysts generally believe the interest rate on bonds is inversely related to the prime interest rate for loans; that is, bonds perform well when lending rates are down and perform poorly when interest rates are up. Can the bond rate be predicted by the ...

**Calculus - Related Rates**

Suppose that you are watching a spaceship take off. You are 100 meters from the launch pad, and you measure the angle made by the rocket and the ground to be increasing at a rate of (d)(theta)/dt = 0.1 radians per second. What is the velocity of the rocket when theta = pi/4?

**Math (related rates)**

My question is similar to Avik's but with different values. A camera, located 4 km from the launch pad, is tracking the rocket that is fired straight up. When the height of the rocket is 13 km, the camera is rotating at the rate of 3/169 radians per second. What is the speed ...

**related rates calculus problem**

A balloon is being filled with air at a rate of 3 cubic meters per minute. Find the rate at which the radius is changing when the volume is 113.0973355 cubic meters.

**related rates problems**

Water pours out of a conical tank of height 10 feet and radius 4 feet at a rate of 10 cubic feet per minute. How fast is the water level changing when it is 5 feet high?

**Sociology**

What does the author think best explains the number of lower-class offenders in the criminal justice system? a) They have higher offending rates. b) They have higher rates of recidivism. c) There are both disparities in crime rates and discrimination in the system. d) ...

**Calculus 1**

Related Rates: The minute hand on a watch is 9 mm long and the hour hand is 6 mm long. How fast is the distance between the tips of the hands changing at one o'clock? (Round your answer to one decimal place.)

**geography**

In which country have death rates declined markedly even as infant mortality rates are the highest in the world?

**6th grade**

Hello, I need help in trying to figure out rates (as in ratios and rates). What is a formula that I would use? Thanks in advance.

**Calc**

How do I do this related rates problem? A plane flying horizontally at an altitude of 1 mi and a speed of 510 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 6 mi away from the station. (...

**Government**

1. Both corporate and individual income tax rates are set at ______ rates. a. high b. low c. progressive d. regressive I think it's C?

**Calculus 1**

Related Rates: A lighthouse is located on a small island 4 km away from the nearest point P on a straight shoreline and its light makes two revolutions per minute. How fast is the beam of light moving along the shoreline when it is 1 km from P? (Round your answer to one ...

**related rates problem-calculus**

A spherical balloon is being filled with air in such a way that its radius is increasing at a rate of 2 centimeters per second. At what rate is the volume of the balloon changing at the instant when its surface has an area of 4 pi square centimeters?

**Related Rates**

A street light is at the top of a 10.5 ft. tall pole. A man 5.4 ft tall walks away from the pole with a speed of 3.5 feet/sec along a straight path. How fast is the tip of his shadow moving when he is 47 feet from the pole?

**statistics**

Assuming the resting heart rates for a sample of individuals are normal distibuted with a mean of 70 and a standard deviation of 15. Waht percentage of rates less than 70

**ECO/372**

what happens to the monry interrest rates and the economy if the federal reserves is not the seller of government bonds? I know the interest rates go down but not sure what else?

**Social studies**

how do demographers figure out population growth? This will be all A.by comparing birth rates and death rates B.by asking people how many children they have

**Calculus 1**

Related Rates I am having trouble finding the equation to use to fit this all together. At noon, ship A is 100km west of ship B. Ship A is sailing south at 35 km/s and ship B is sailing north at 25 km/s. How fast is the distance between the ships changing at 4:00pm.

**Calculus 1**

Related Rates I am having trouble finding the equation to use to fit this all together. At noon, ship A is 100km west of ship B. Ship A is sailing south at 35 km/s and ship B is sailing north at 25 km/s. How fast is the distance between the ships changing at 4:00pm.

**Calculus 1**

Related Rates I am having trouble finding the equation to use to fit this all together. At noon, ship A is 100km west of ship B. Ship A is sailing south at 35 km/s and ship B is sailing north at 25 km/s. How fast is the distance between the ships changing at 4:00pm.

**Calculus 1**

Related Rates I am having trouble finding the equation to use to fit this all together. At noon, ship A is 100km west of ship B. Ship A is sailing south at 35 km/s and ship B is sailing north at 25 km/s. How fast is the distance between the ships changing at 4:00pm.

**Calculus 1**

Related Rates I am having trouble finding the equation to use to fit this all together. At noon, ship A is 100km west of ship B. Ship A is sailing south at 35 km/s and ship B is sailing north at 25 km/s. How fast is the distance between the ships changing at 4:00pm.

**Related rates**

Sand is being dropped at the rate of 10 cubic meter per minute onto a conical pile. If the height of the pile is always twice the base radius, at what rate is the height increasing when the pile is 8 meters high?

**related rates**

A spherical snowball is melting in such a way that its diameter is decreasing at rate of 0.4 cm/min. At what rate is the volume of the snowball decreasing when the diameter is 8 cm. (Note the answer is a positive number).

**Calculus Related Rates**

Two sides of a triangle are 5 and 8 and the angle between them is increasing at .05 rad/sec. how fast is the distance between the tips of the sides increasing when the angle is pi/4

**Calculus Related Rates**

A hot air balloon, 50 feet from an observer, is rising at 20 ft/sec. At 5 seconds after lift off 1. How fast is the distance between the observer and the balloon changing? 2. How fast is the angle of elevation changing?

**COM155**

Write two paragraphs about how interest rates affect our purchasing decisions. High interest rates make us stop and think, do we need this item? Is it a necessity? When interest rates are high people tend to finance things less. Why pay a lot in interest when you can just save...

**social problems**

Increase in divorce rates over the last century related to :A)rejection of the ideology of the "good"family B) increasing financial independence of woman c)increasing abuse and conflict in families d) change in social norms toward greater acceptance of divorce IS C CORRECT ...

**calculus: related rates**

hello, please help me. A cylindrical can is being heated with its height increasing at the rate of 0.01cm/min and its diameter at the rate of 0.005cm/min. At what rate is the volume increasing when the can has a diameter of 15cm and a height of 20cm. this is how i'm going ...

**Economics**

If demand is price elastic, total revenue is a.directly related to quantity demanded b.inversely related to quantity demanded c.directly related to price d.directly related to price and inversely related to quantity demanded e.not related to either price or to quantity demanded

**related rates calculus 1**

gravel is being dumped from a conveyor belt at a rate of 15 ft^3/hr and its coarseness is such that it forms a pile in the shape of an inverted right cone whose height is three times its base radius. How fast is the height of the pile increasing when the pile has a height of 10ft

**Math (Integrals)**

∫ (2x-1)^2 dx could have two answers: a) ((2x-1)^3)/6 + C b) 4/3x^3 - 2x^2 + x + C Now the question is, how are the two answers related? I attempted to answer the question by: "The two answers are related because when finding the derivative of those two different answers, ...

**Calculus 1**

Related Rates: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 0.9 ft/s, how fast is the angle between the ladder and the ground changing when the bottom of the ladder is 6 ft from the wall?

**Math**

3,4,9,12,16,18 two integers are related if they share a factor other than 1. which of the following numbers is related to every number in the list above. A 10 B 9 C 6 D 4 E 3 Is it 10? Since like 30,40,90,120,180 all have factor of 10?

**Calculus Related Rates**

A balloon, 50 feet from an observer, is rising at 20 ft/sec. At 5 seconds after lift off 1. How fast is the distance between the observer and the balloon changing? 2. How fast is the angle of elevation changing? I need help on both questions. Thanks in advance smart people!!

**geography**

I have to put indicators of measuring development in countries in order of importance they are :- literacy rates number of people per doctor, gross national product, % of population access to clean water, population density, % people employed in agriculture, % population ...

**math**

I am having a difficult time calculating rates and unit prices. Can someone describe a simple process for using rates and unit prices that will help me understand these concepts? I searched Google under the key words "rates 'unit prices'" to get these possible sources: http://...

**Environmental Science**

How do birth, death, fertility, and migration rates affect population size? What factors can affect these rates?

**Calculus (related rates)**

A ladder 13 meters long rests on horizontal ground and leans against a vertical wall. The foot of the ladder is pulled away from the wall at the rate of 0.4 m/sec. How fast is the top sliding down the wall when the foot of the ladder is 5 m from the wall?

**Math**

Suppose f(x) = sin(pi*cosx) On any interval where the inverse function y = f –1(x) exists, the derivative of f –1(x) with respect to x is: a)-1/(cos(pi*cosx)), where x and y are related by the equation (satisfy the equation) x=sin(pi*cosy) b)-1/(pi*sinx*(cos(pi*cosx))), ...

**law**

Over the past decade, some countries have shown high crime rates while other countries have lower crime rates. For example, the lowest homicide rates in 2000 existed in Saudi-Arabia and Japan, while France and Germany had the highest homicide rates. Their rates, however, were ...

**sci**

How do birth,death,family and migration rates affect the population? What factors can affect these rates