Question

A woman cycles 8 mi/h faster than she runs. Every morning she cycles 4 mi and runs 2.5mi, for a total of one hour of exercise. How fast does she run?

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Calculus

Other

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: An experimental vehicle is tested on a straight track. It starts from rest, and its velocity v (in m...

A: (a). Using the cubic regression function in a graphing calculator, this is the equation that models ...

Q: Consider the limit. (a) Describe the type of indeterminate form that is obtained by direct substitut...

A: Given limx→0+(-x·ln(x))

Q: An object is spinning at a constant speed on the end of a string, according to the position vector r...

A: Click to see the answer

Q: Please I want answer of this question. Thanks

A: Click to see the answer

Q: Find the derivative of the function. y = = *

A: For these kind of derivatives, we need to use the substitution method. Substitute the power term wit...

Q: Give as asked. Use the situation below to answer numbers 21-25. 5t Suppose that C(1) (in mg/mL) repr...

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining...

Q: 2. Given f(x) = -choose the correct statement (A)f(x) is concave up on (0 ,0) (B) ƒ(x) is concave do...

A: Click to see the answer

Q: A quadratic function f is glven. f(x) = 4x2 - 8x + 1 %3D (a) Express f in standard form. f(x)

A: Click to see the answer

Q: Find the relation between x and y such that the point (x,y) is equidistant from the points (7,1) and...

A: Click to see the answer

Q: For the following exercises, find the horizontal and vertical asymptotes. 279.  f(x)=1/x^3 + x^2

A: Click to see the answer

Q: Find first derivatives of f(x)= X X

A: Click to see the answer

Q: Calculus Question

A: Click to see the answer

Q: The marginal cost of producing the xth box of light bulbs is 14-(x/10000), and the fixed cost is $20...

A: Given, Marginal cost = dC/dx = 14 - x/10000 now dC/dx = 14 - x/10000 dC = (14 - x/10000) dx integrat...

Q: If x, y, and z are lengths of the edges of a rectangularbox, then the common length of the box’s dia...

A: Given- s=x2+y2+z2 To find- dsdt in terms of dydtand dzdt, if x is constant. Concept Used- As the fun...

Q: A wheel with radius of 9 inches is revolving at 2400 RPM. Find the angular speed of the wheel. Find ...

A: Given that a wheel has a radius of 9 inches and revolving at 2400 rpm. We need to find i)the angular...

Q: Find the relation between x and y such that the point (x,y) is equidistant from the points (7,1) and...

A: Click to see the answer

Q: let T(x,y) = (2x-y, xy) a) What is T(0,0) ? b) Is T a linear transformation? Explain  c) Find the im...

A: Click to see the answer

Q: Water is being poured into a vase in the shape of a circular cylinder. The height of the water chang...

A: Given information; Water is being poured into a vase in the shape of a circular cylinder. The height...

Q: The differential equation for cooling of a cup of coffee is given by dT dt = -(T – Tenu)/T where T i...

A:   final answer is  T = 200 C at t =5 minutes detailed solution with explanation is given below  

Q: Multiply or Divide as indicated : (6x + 9) /(3x - 15) * (x - 5) / (4x + 6).

A: To evaluate6x+93x-15*x-54x+6

Q: Geometric Sequences ASSIGNMENT 11.3 In exercises 1 and 2, write a formula for the general term (the ...

A: Click to see the answer

Q: 13.Given the function defined by f(x) = -x5 + 5x* + 3,find all the values of x for which the graph o...

A: Click to see the answer

Q: 23.lf a company sells an item for p = 75 - .01x dollars each,and the cost of manufacturing x items i...

A: Given x = no of item price = 75 - 0.01x cost = 1850 + 28x - x^2 + 0.001x^3 Let R(x) = x(75 - 0.01x) ...

Q: Professor Tough's final examination has 15 true-false questions followed by 3 multiple-choice questi...

A: Consider the final examination has 15 true-false questions followed by 3 multiple choice questions a...

Q: Find the relationship between x and y such that point (x,y) is equidistant from the points (7,1) and...

A:  

Q: In exercises 5 and 6, use the formula for the sum of the first n terms of a geometric sequence to fi...

A: Since you have asked multiple questions in a single request, we would be answering only the first qu...

Q: use long division  (6x3-16x2+17x-6) divided by (3x-2)

A: Click to see the answer

Q: Integration review Evaluate the following integrals.

A: We have to evalute the given integral ∫dxx2-2x+10

Q: find dy/dx by implicit differentisation x2+y2=64

A:  

Q: Linearizations for Three VariablesFind the linearizations L(x, y, z) of the functions in Exercises 4...

A: Click to see the answer

Q: Find the point on the line  y = 4x + 3  that is closest to the origin

A: Click to see the answer

Q: AUXI Solve the equations 1) (D? – 2D + 5)y = 0

A: Click to see the answer

Q: ved in the approximation rapezoidal rule, the erro Simpson's rule, the error VOur answers accurate t

A: The function given is , fx=cos 4x , the integral has the limit a=-1, b=2 , and interval n=8. The der...

Q: The amount of trash, in tons per year, produced by a town has been growing linearly, and is projecte...

A: Click to see the answer

Q: Evaluate the definite integral. Use a graphing utility to verify your result.

A: Integration:     ∫-31exe2x+2ex+1dxWe need to substitute ex=z                              exdx=dz

Q: Oil is leaking out of a ruptured tanker at a rate of r = 17e gallons per hour. Write a definite inte...

A: Given, r(t)=∫0317e3tdt 

Q: Exercises Repeated Imaginary Roots of Auxiliary Equations Solve the equations: 1) (D² + 9)²y = 0

A: Click to see the answer

Q: What two positive real numbers whose product is 72 have the smallest possible sum? Let S be the sum ...

A: Click to see the answer

Q: Find the volume of revolution obtained by rotating the region between the functions y = Vx,x = 0, an...

A: Given  The equation of curves is y=x , x=0  and y=5. volume about the line  x=5   Formula :- Shall m...

Q: Angle Between VectorsFind the angles between the vectors in Exercises 9–12 to the nearesthundredth o...

A: (9) Given- u=2i+j and v=i+2j-k To find- The angle between the vectors. Formula used- The angle betwe...

Q: Which method do I use for each one?

A: Click to see the answer