Solve the following time rates problems. A girl starts at a point A and runs east at the rate of 10 ft/sec. One minute later, another girl starts at A and runs north at a rate of 8 ft/sec. At what rate is the distance between them changing 1 minute after the second girl starts?

Q: Solve the following time rates problems: A softball diamond has the shape of a square wide sides 60…

A: Consider the given information. Let's draw a figure according to the given figure.

Q: Starting from the same point, Royden starts walking eastward at m/s while Nilo starts running…

A: We use Pythagoras theorem  (Hypotenuse)2 = (perpendicular)2+(Base)2

Q: A satellite that is launched vertically is tracked by a radar station located on the ground 4 km…

A: Here the height of the horizontal distance between the launch pad and the radar, the height of the…

Q: As illustrated in the figure, a car is traveling along one road, away from the intersection, at 10…

A:

Q: 1. A ladder 10 meters long leans against a wall. If the bottom of the ladder is being pulled away…

A: Given: A ladder 10 meters long leans against a wall. If the bottom of the ladder is being pulled…

Q: One ship is sailing south at a rate of 5 knots, and another is sailing east at a rate of 10 knats.…

A: Let the time at 2:00 Pm be t  The two ships will form a right angled triangle, with horizontal side…

Q: The value of a computer t years after purchase is v(t) = 3000 e -0.35t At what rate is the…

A: Please see the answer in step 2

Q: Solve the following problems completely. 1. Abody temperature of 60° F is placed in an oven whose…

A: We need to find time.

Q: Solve the following rate of change problems (SOLVE a and b) a) A man starts walking north at 4 ft /…

A: Note: According to Bartleby guidelines; for more than one question asked, only the first one is to…

Q: 1. You are a sales account executive earning $1100 per month plus 6% commission on the amount of…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Two cars that started at the same point are driving away from each other. The first car is driving…

A: Given,          Two cars that started at the same point are driving away from each other. The first…

Q: Two trucks, one traveling west and the other traveling south, are approaching an intersection. If…

A: Given that, Two trucks, one traveling west and the other traveling south, are approaching an…

Q: If a solid is placed in water, the amount undissolved after t seconds is A(t) Aoe-kt. If 30 grams of…

A: Since, we know that the amount of solid undissolved after t seconds is given by:-A(t)=Aoe-ktAlso, we…

Q: At noon, ship A is 180 km west of ship B. Ship A is sailing east at 40 km/h and ship B is sailing…

A: Given that  At noon, ship A is 180 km west of ship B. Ship A is sailing east at 40 km/h and ship B…

Q: A car traveling at the rate of 20m/s is approaching an intersection. When the car is 100 meters from…

A: Given: dadt=20 m/s and   dbdt=100m/s at   t=2 sec first we convert m into ft so, 20m/s×3.281=65.62…

Q: The temperature in a laboratory is maintained at 20°C. A warm bath is left to cool down and the rate…

A:

Q: An investment earning interest at the rate of 10%, compounded continuously, will double in tyears.…

A: Let's solve,

Q: The temperature in a laboratory is maintained at 20°C. A warm bath is left to cool down and the rate…

A:

Q: If one earthquake has a magnitude of 5 on the Richter scale and a second earthquake has a magnitude…

A: We have to determine the relationship between the intensities of the two earthquakes .

Q: Where k is constant. If the temperature is increasing at 4 kelvins per hour, what is the rate of…

A: We need to find the rate of change of pressure  when temperature is 150K and pressure is 450…

Q: A chemical factory tank stores an amount of liquid. After it has started to drain, it has a given…

A: Solution

Q: If a snowball melts so that its surface area decreases at a rate of 4 cm2/min, find the rate (in…

A: Let the diameter be D cm and radius be r cm  The surface area S of the the sphere in term of…

Q: Two people start from the same point. One walks east at 2km/h and the other walks northeast at 3…

A: Given

Q: When a factory operates from 6 AM to 6 PM, its total fuel consumption varies according to the…

A:

Q: e. An airplane flying on a straight flight path will be exactly above a radar tracking station,…

A: Given: Perpendicular distance between station and plane is 5,000 km.   To find rate of distance of…

Q: One ship is sailing south at a rate of 5 knots, and another is sailing east at a rate of 10 knots.…

A: Given that at time 2 p.m the second ship is at the place occupied by the first ship one hour before.…

Q: At what fraction of the speed of light does Alice have to travel relative to Bob so that Alice does…

A: Given Alice does everything three times as slowly as Bob Find The fraction of speed

Q: At noon, ship A is 170 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing…

A:

Q: At noon, ship A is 170 km west of ship B. Ship A is sailing east at 40 km/h and ship B is sailing…

A: Take the position of ship B as the origin. So the coordinates of ship A are: (-170,0) Coordinates of…

Q: The pressure P (in kilopascals), volume V (in liters), and temperature T (in kelvins) of a mole of…

A:

Q: A pair of kids and a pair of adults decided to compete in a three-legged race. The kids got to start…

A: How far did the adults go? How long did that take?

Q: The pressure P (in kilopascals), volume V (in liters), and temperature T (in kelvins) of a mole of…

A:

Q: At noon, ship A is 180 km west of ship B. Ship A is sailing east at 40 km/h and ship B is sailing…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: The doubling period of a bacterial population is 10 minutes. At time t=90 minutes, the bacterial…

A: Given the doubling time of a bacterial population t = 10 Using a formula P=P0 er t…

Q: Consider an aquarium with a 75 gallon tank.  If the aquarium has a water pump that pumps water at a…

A:

Q: 4. One car leaves a given point and travels north at 30 mph. Another car leaves 1 hour later, and…

A:

Q: Consider a scenario in which a 20ft tall lamppost lights up a street. (a) A 5ft tall woman stands…

A: Length is a measure of distance. In the International System of Quantities, length is a quantity…

Q: Two cars start moving from the same point. One travelssouth at 60 mih and the other travels west at…

A:

Q: The doubling period of a bacterial population is 10 minutes. At time t = 100 minutes, the bacterial…

A:

Q: A man 6 feet tall walks at a rate of 3 feet per second away from a light that is 15 feet above the…

A:

Q: The rate of fingernail growth depends on many factors, but in adults, nails grow at an average rate…

A:

Q: A Chinese patrol ship was spotted 150 kilometers north of a Philippine fishing boat at 6:00 a.m. The…

A: This question is related to differentiation, We will solve it using given information.

Q: The doubling period of a bacterial population is 10 minutes. At time t = 110 minutes, the bacterial…

A:

Q: The pressure P (in kilopascals), volume V (in liters), and temperature T (in kelvins) of a mole of…

A: Given : pressure P (in kilopascals), volume V (in liters), and temperature T (in kelvins) of amole…

Q: Suppose that a ladder of length 25 ft is placed on a vertical wall. It was then found out that the…

A: length of the ladder= 25ft According to Pythagoras theorem:…

Q: Two people start from the same point. One walks east at 3mi/h and the other one walks northeast at…

A:

Q: Solve the following: 1. In a certain culture of bacteria, the rate of increases is proportional to…

A: Let the number of bacteria present be x, then the rate of increase is given by x'(t). According to…

Q: On a rainy day, a girl broken up with her boyfriend after being together for eight long years. They…

A: Given: The boy is due north crying and running at a rate of 5 ft/sec and the girl is walking due…

Q: In this calculus question, there is a shadow length question that deals with a 6 foot man walking at…

A: Follow the procedure given below.

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.