Mathematics for Elementary Teachers with Activities, Loose-Leaf Version Plus MyLab Math -- Access Card Package (5th Edition)
5th Edition
ISBN: 9780134800196
Author: Sybilla Beckmann
Publisher: PEARSON
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Chapter 5.1, Problem 5P
Which of the following are word problems of
- A cake was cut into pieces of equal size. There are 5 pieces of cake left. John gets
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Chapter 5 Solutions
Mathematics for Elementary Teachers with Activities, Loose-Leaf Version Plus MyLab Math -- Access Card Package (5th Edition)
Ch. 5.1 - a. Anita had 12 of a bag of fertilizer left. She...Ch. 5.1 - a. Discuss the meaning of 12.14.Include a simple...Ch. 5.1 - Paul used 34 cup of butter in the batch of...Ch. 5.1 - Which of the following are word problems for...Ch. 5.1 - Which of the following are word problems of 34.5=?...Ch. 5.1 - Consider this word problem about baking brownies:...Ch. 5.1 - Explain why it would be easy to interpret the...Ch. 5.1 - Write a word problem for 13.14=? Use the...Ch. 5.1 - Write a word problem for 2.35=? Use the definition...Ch. 5.1 - Write a word problem for 23.5=? Use the definition...
Ch. 5.1 - Write a simple word problem for 23.45=? Use your...Ch. 5.1 - One serving of Gooey Gushers provides 12% of the...Ch. 5.1 - a. Write a word problem for 212.312=? b. Use math...Ch. 5.1 - Manda says that 323.215.=3.2+25.15 Explain why...Ch. 5.1 - a. Write an expression that uses both...Ch. 5.1 - a. Write an expression that uses both...Ch. 5.1 - To understand fraction multiplication thoroughly,...Ch. 5.1 - To understand fraction multiplication thoroughly...Ch. 5.1 - The liquid in a car’s radiator is 75% water and...Ch. 5.1 - * You are holding a yellow flask and a read flask....Ch. 5.1 - Discuss why we must develop an understanding of...Ch. 5.1 - Explain in your own words why multiplication means...Ch. 5.2 - Write and solve your own word problem for...Ch. 5.2 - Write a word problem for 1.32.79. Solve your...Ch. 5.2 - Leah is working on the multiplication problem...Ch. 5.2 - Run used a calculator to determine that...Ch. 5.2 - When we multiply 0.483.9, we first multiply as if...Ch. 5.2 - Suppose you multiply a decimal that has 2 digits...Ch. 5.2 - Suppose you multiply a decimal that has M digits...Ch. 5.2 - Explain how to write 1.89 and 3.57 as improper...Ch. 5.2 - A Shampoo Problem: A bottle contains 25.4 fluid...Ch. 5.2 - Determine the area of the rectangle in Figure 5.12...Ch. 5.2 - Determine the area of a 1.7-until-by-3.1-unit...Ch. 5.3 - Explain the following in your own words. Explain...Ch. 5.3 - For each of the following cases, either explain...Ch. 5.3 - For each of the following cases, either explain...Ch. 5.4 - Write the following numbers as powers of 10:...Ch. 5.4 - a. The winnings of a lottery were $250 million....Ch. 5.4 - Write the following numbers in scientific...Ch. 5.4 - Prob. 4PCh. 5.4 - Tanya says that the one digit of 259 is a 5...Ch. 5.4 - Is 2107 equal to 27? Is 1109 equal to 19? If not,...Ch. 5.4 - Calculate 8123,456,123,456 using a calculator....Ch. 5.4 - Let’s say that you want to write the product...Ch. 5.4 - Light travels at a speed of about 300,000...Ch. 5.4 - According to scientific theories, the solar system...Ch. 5.4 - Suppose that a laboratory has 1 gram of a...Ch. 5.4 - Suppose you multiply a 6-digit number by an...
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- a #15 A cylindrical tank with radius 8 m is being filled with water at a rate of 2 m³/min. What is the rate of change of the water height in this tank?arrow_forward#10 Find the dimensions of a closed box having a square base with surface area 12 and maximal volume.arrow_forward14 Sand pours from a chute and forms a conical pile whose height is always equal to its base diameter. The height of the pile increases at a rate of 5 feet/hour. Find the rate of change of the volume of the sand in the conical pile, when the height of the pile is 4 feet.arrow_forward
- Refer to page 92 for a problem involving solving coupled first-order ODEs using Laplace transforms. Instructions: Solve step-by-step using Laplace transforms. Show detailed algebraic manipulations and inversions. Link: [https://drive.google.com/file/d/1wKSrun-GlxirS31Z9qoHazb9tC440 AZF/view?usp=sharing] Refer to page 86 for a problem involving solving Legendre's differential equation. Instructions: Solve using power series or standard solutions. Clearly justify every step and avoid unnecessary explanations. Link: [https://drive.google.com/file/d/1wKSrun-GlxirS3IZ9qoHazb9tC440AZF/view?usp=sharing]arrow_forward#11 If a snowball melts so its surface area decreases at a rate of 1 cm²/min, find the rate at which the diameter decreases when the diameter is 6 cm.arrow_forwardConsider the time series model X₁ = u(t)+s(t) + εt. Assuming the standard notation used in this module, what do each of the terms Xt, u(t), s(t) and & represent? In a plot of X against t, what features would you look for to determine whether the terms μ(t) and s(t) are required? Explain why μ(t) and s(t) are functions of t, whilst t is a subscript in X and εt.arrow_forward
- Refer to page 86 for a problem involving solving Legendre's differential equation. Instructions: Solve using power series or standard solutions. Clearly justify every step and avoid unnecessary explanations. Link: [https://drive.google.com/file/d/1wKSrun-GlxirS3IZ9qo Hazb9tC440 AZF/view?usp=sharing] Refer to page 80 for a proof of convergence for a given series using the ratio test. Instructions: Clearly apply the ratio test. Show all steps and provide justification for convergence or divergence. Link: [https://drive.google.com/file/d/1wKSrun-GlxirS31Z9qoHazb9tC440AZF/view?usp=sharing]arrow_forwardthe second is the Problem 1 solution.arrow_forwardRefer to page 90 for a problem requiring Fourier series expansion of a given periodic function. Instructions: Clearly outline the process of finding Fourier coefficients. Provide all calculations, integrals, and final expansions. Link: [https://drive.google.com/file/d/1wKSrun-GlxirS31Z9qoHazb9tC440 AZF/view?usp=sharing] Refer to page 93 for a problem involving Cauchy-Euler differential equations. Instructions: Solve the given differential equation step-by-step, showing the characteristic roots and general solution clearly.arrow_forward
- Refer to page 80 for a proof of convergence for a given series using the ratio test. Instructions: Clearly apply the ratio test. Show all steps and provide justification for convergence or divergence. Link: [https://drive.google.com/file/d/1wKSrun-GlxirS3IZ9qoHazb9tC440 AZF/view?usp=sharing] Refer to page 94 for a problem requiring the numerical solution of an ODE using the Runge- Kutta method. Instructions: Solve step-by-step, showing iterations, step sizes, and calculations clearly. Link: [https://drive.google.com/file/d/1wKSrun-GlxirS3IZ9qo Hazb9tC440AZF/view?usp=sharing]arrow_forwardRefer to page 82 for a double integral problem. Convert the integral into polar coordinates and evaluate it step-by-step, clearly showing all transformations and limits. Instructions: Focus only on the problem. Provide all steps, including the coordinate transformation, Jacobian factor, and the integral evaluation. Avoid irrelevant details. Link: [https://drive.google.com/file/d/1wKSrun-GlxirS31Z9qoHazb9tC440 AZF/view?usp=sharing]arrow_forwardRefer to page 81 for a proof involving the uniqueness of solutions for a given ordinary differential equation. Instructions: Focus strictly on proving the uniqueness theorem using necessary conditions. Justify all intermediate steps. Link: [https://drive.google.com/file/d/1wKSrun-GlxirS31Z9qoHazb9tC440AZF/view?usp=sharing]arrow_forward
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