If a square piece of cardboard has 3-in. squares cut from its corners and then has the
Question:
If a square piece of cardboard has 3-in. squares cut from its corners and then has the flaps folded up to form an open-top box, the volume of the box is given by the formula
where x is the length of each side of the original piece of cardboard in inches. What original length would yield a box with volume 432 in.3?
Transcribed Image Text:
V = 3(x - 6)²,
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 83% (6 reviews)
To find the original length of the cardboard that would yiel...View the full answer
Answered By
Diana Muriuki
As an online math tutor, I have several years of hands-on experience working with students of all ages and skill levels. I hold a Bachelor's degree in Mathematics and a Master's degree in Education. Additionally, I have completed multiple training courses in online teaching and tutoring methods.
Throughout my career, I have worked with students in both individual and group settings, including classroom teaching, after-school tutoring, and online instruction. I am proficient in teaching a wide range of math topics, from basic arithmetic to advanced calculus and statistics.
One of my greatest strengths as a tutor is my ability to adapt my teaching style to meet the unique needs and learning styles of each individual student. I understand that every student is different, and I strive to create a comfortable and supportive learning environment that encourages growth and development.
In addition to my formal education and tutoring experience, I am also a lifelong learner with a passion for mathematics. I am constantly seeking out new resources and methods to improve my own knowledge and skills, and I believe this passion and enthusiasm helps to inspire my students as well.
Overall, my hands-on experience and proficiency as a math tutor are grounded in a combination of formal education, practical experience, and a genuine love of mathematics. I am confident in my ability to help students achieve their goals and succeed in math, and I look forward to the opportunity to work with new students and continue to grow as an educator.
0.00
0 Reviews
10+ Question Solved
Related Book For
Intermediate Algebra
ISBN: 9780134895987
13th Edition
Authors: Margaret Lial, John Hornsby, Terry McGinnis
Question Posted:
Students also viewed these Mathematics questions
-
An open box with a square base is to be made from a square piece of cardboard 24 inches on a side by cutting out a square from each corner and turning up the sides. See the figure. (a) Express the...
-
A rectangular box with a square base is to be formed from a square piece of metal with 12-inch sides. If a square piece with side x is cut from each corner of the metal and the sides are folded up to...
-
An open box of maximum volume is made from a square piece of material 24centimeters on a side by cutting equal squares from the corners and turning up the sides (see figure). (a) The table shows the...
-
Determine each of the following as being either true or false. If an angle has a cosine of 0.2, then the secant of the angle is 5.
-
Given the information in the following table, fill in the value of the marginal product of labor for price P = 4. Find the perfectly competitive firm's optimal labor demand for a wage w = $4/hr....
-
Valley Peat Ltd. sells peat moss for $10 per bag. Variable costs are $7.50 per bag and annual fixed costs are $100,000. a. How many bags of peat must be sold per year to break even? b. What will be...
-
The column with constant \(E I\) has the end constraints shown. Determine the critical load for the column. L
-
Depreciation Changes On January 1, 2006, McElroy Company purchased a building and equipment that have the following useful lives, salvage value s, and costs. Building, 40-year estimated useful life,...
-
In providing accounting services to small businesses, you encounter the following situations. 1. 2. Waterway Corporation rings up cash sales and sales taxes separately on its cash register. On April...
-
A game board is in the shape of a right triangle. The hypotenuse is 2 in. longer than the longer leg, and the longer leg is 1 in. less than twice as long as the shorter leg. How long is each side of...
-
Solve each inequality, and graph the solution set. (2x + 1)(3x-2)(4x + 7) <0
-
Craig Robinson Company established a $100 petty cash fund on August 1. On August 30, the fund had $9 cash remaining and petty cash receipts for postage $31, office supplies $42, and miscellaneous...
-
5.1. Compore E(2), Elin
-
1. A three stage cross current extraction system is proposed to extract 1000 kg of aqueous solution containing 35 mass % trimethyl amine (TMA) and 65 % water using benzene as a solvent (98 % benzene...
-
To conduct this manufacturing they import certain electronic components from countries like Japan and South Korea. The market for the manufactured tools are the U.S.A, Australia, Canada and United...
-
On June 3 0 , 2 0 2 4 , Georgia - Atlantic, Incorporated leased warehouse equipment from IC Leasing Corporation. The lease agreement calls for Georgia - Atlantic to make semiannual lease payments of...
-
Steve and Mark operate a partnership selling cricket equipment. They are equal partners in a partnership. The partnership has an accounting net profit of $ 1 5 0 , 0 0 0 . Relevant figures in...
-
Sketch an AD-AS diagram depicting an economy in short run equilibrium. Discuss how the economy reaches long-run equilibrium. Discuss how the economy reaches long run equilibrium over a period of time...
-
Write the general quadratic equation y2 - 8y - 4x + 28 = 0 in standard form. Determine the vertex, focus, and directrix of the parabola defined by this equation. Sketch a graph.
-
If you took repeated samples of size 150 and constructed a 99% confidence interval for the population mean of hours slept from each sample, what percentage of these intervals would capture the...
-
A confidence interval is constructed for the population proportion of consumers who would visit the store because of the coat sale. Which confidence interval would be the widest? A. 99% B. 95% C. 90%...
-
Which confidence interval would be the narrowest? A. 99% B. 95% C. 90% D. 85%
-
Sultan Company uses an activity-based costing system. At the beginning of the year, the company made the following estimates of cost and activity for its five activity cost pools: Activity Cost Pool...
-
McWherter Instruments sold $ 4 5 0 million of 6 % bonds, dated January 1 , on January 1 , 2 0 2 4 . The bonds mature on December 3 1 , 2 0 4 3 ( 2 0 years ) . For bonds of similar risk and maturity,...
-
On January 1, 2024, Alamar Corporation acquired a 40 percent interest in Burks, Incorporated, for $210,000. On that date, Burks's balance sheet disclosed net assets with both a fair and book value of...
Study smarter with the SolutionInn App