A mermaid swims N 45 degrees E at a speed 30 mph relative to the water. The water flows E at a speed 10 mph. Find the true speed of the mermaid

Q: e" dy 12. (1+e")

A:

Q: Suppose a = 6 and A = 25 degrees.Find:b =   c =   B =   degrees

A:

Q: A turboprop plane flying with the wind flew 700 mi in 5 h. Flying against the wind, the plane…

A:

Q: Solve triangie based off of ide A=D38° B= 72° b= 12

A:

Q: Kristin boards a Ferris wheel at the 3- o'clock and rides the Ferris wheel for one full rotation.…

A: Given, Radius=14 m Let, s be the number meter travelled from 3 o' clock

Q: Two Windmills stand on a field 256 feet apart. A cow is in the field, 320 feet from one windmill and…

A:

Q: The equation F=9/5C+32 gives the Fahrenheit temperature F corresponding to the Celsius temperature…

A:

Q: Which equation(s) can be used to calculate the value of x? Then, solve the equation(s) and check to…

A: Solve the equation

Q: A rocket is fired vertically upward from the ground with an initial velocity of 580 ft / sec. How…

A:

Q: A car traveling at 20 feet per second decelerates at 8 feet per second per second. How long does it…

A:

Q: Solve for X each Figure is a trapezoid

A: here the line LK is the middle line of the trapezoid so the length of LK is the mean of 10 and 16

Q: A 4-ft vertical post casts a 10-in shadow at the same time a nearby cell phone tower casts a 120-ft…

A: Given: 4ft vertical casts a 10-in shadow

Q: A stone is thrown vertically upward with a velocity of 40 feet per second from the top of a tower…

A:

Q: Use the given information to find the unknown value. y varies directly as the cube of æ. When æ = 3,…

A: As y varies directly to the cube of x therefore y=kx3 where k is a constant. Substitute 3 for x and…

Q: The Celsius and Fahrenheit scales are related by the equation C=5/9(F−32). These scales have the…

A: We need to find the temperature at which F = C where C=5/9(F−32)

Q: The speed of a boat in still water is 15 km / hr.It can go 30 km upstream and return downstream to…

A: To find: The speed of the stream. Given information: The speed of a boat in still water is 15 km/hr.…

Q: A 10-ft vertical post casts a 16-in shadow at the same time a nearby cell phone tower casts a 118-ft…

A:

Q: John started running at a speed of 10 kph.Three minutes later, Peter started running in the same…

A:

Q: Jose is standing next to a mailbox when he begins walking north from the mailbox at a constant speed…

A: Given: Speed of Jose = 6 feet per sec To find: Distance of Jose from mailbox after 8 sec.

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: What is…

A: Given that a ball launched at in air t seconds after  it is launched byf(t)=-16t2+300t+20When the…

Q: The average speed of one airplane is 200 mph faster than that of an automobile. If the automobile…

A: Solution

Q: = S + t

A: here two variables are free

Q: John can row a boat up the river for 5 hours. The return trip down the river takes 3 hours. Find the…

A: Given that John can row a boat up the river for 5 hours, down the river in 3 hours. Also given that…

Q: The equation P=20sin(2*Pi*t)+10 models the blood pressure, P, where t represents time in seconds.…

A: From the given problem:   P=20sin2πt+10 ...(1)   A).   The  blood pressure after 15 seconds is:…

Q: Find the velocity of a fish tank accidentally dropped from a heigh of 250m the         moment as it…

A: Please see the explanation below

Q: Solve the formula for the specified variable. a +b+ c 2 Use pi for T. Put a space after T and before…

A:

Q: Bolve the equation on the interval 0se<2%. 4 sec 8+1 9

A:

Q: Solve the formula for the indicated variable 1. V = -arh; h (geometry) 3.

A: Do the calculation such that one side remains h only.

Q: – 5z + 2) dz.

A:

Q: On a flight from New York to Nashville, an airplane travels at a constant speed of 500 miles per…

A:

Q: A car is driving at 95 kilometers per hour. How far, in meters, does it travel in 5 seco meters Give…

A:

Q: A plane travels at a speed of 170 mph in still air. Flying with a tailwind, the plane is clocked…

A: Let S is the  wind speed then                             with wind                       against…

Q: 100 V 100 V 120 Vab

A: Given:

Q: The tree shown below casts a shadow 15 feet long when a man 6 feet tall casts a shadow 3 feet long.…

A:

Q: ts a and b, determine the temperature, and t t the problem illustrates.

A: a. The relation between time and temperature is, Time  Temperature 6 hours ago to calculate…

Q: The speed of a stream is 4mph. A boat travels 5miles upstream in the same time it takes to travel 13…

A: We will solve the following.

Q: Solve for the value of v.

A:

Q: The value of a new car depreciates at a rate of 8% per year. Write an equation to represent the…

A: Depreciation rate of car is 8%. Value of New car is $42000 Since we have future value formula…

Q: A ball is projected into the air. Its height at time, t, is given by the equation h = -16 + 100t +…

A: The height function of the ball is h = -16t2+100t+2                                 ...........1 The…

Q: A cyclist rides at a rate of 16 mph for 45 min.

A: Speed of cyclist is 16 mph i.e. In 1 hour cyclist cover 16 miles

Q: The diagram shows a triangle. 530 56° What is the value of t?

A:

Q: b) A cargo plane is flying west at 600 km/h. A fighter jet on an aircraft carrier 400 km due south…

A: To determine the optimization function and boundary interval.

Q: A motorboat traveling with the current went 36 mi in 2 h. traveling against the curretn it took 3 h…

A:

Q: A thermometer reading 70 degree Fahrenheit is placed in an oven preheated to a constant temperature.…

A: The differential equation is dTdt=kT−Tm. ⇒dTT−Tm=kdt Integrate both sides…

Q: Two

A: Distance covered is given by, distance = speed*time

Q: A thermometer reading 75C is taken out where the temperature is 20C, the reading is 30C 4min later.…

A: dTdt=-k(T-Ts)      =-k(T-20)dTT-20=-k*dtln(T-20)=-kt+ln Cln(T-20)=ln(e-kt)+ln…

Q: A boater travels 45 miles per hour on the water on a still day. During one particularly windy​ day,…

A:

Q: Jasmine and Lily are 100 feet apart when they spot each other and they start moving towards each…

A:

Q: The tree shown below casts a shadow 28 feet long when a man 6 feet tall casts a shadow 4 feet long.…

A:

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.