6. The dimensions of a box are 3 cm x 5 cm x 7 cm. The...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
6. The dimensions of a box are 3 cm x 5 cm x 7 cm. The width, length, and height of the box must be increased by the same amount x in order for the box to have a volume of 693 cm cubed. Determine the value of x that will produce a box with a volume of 693 cm³. [T4] [C2] (3+xX5+x)(7+x)-8693 X²+15x+71x+105-693 X+15x+71x-588-0 (x-4)(x+19x+147)=0 X-40 or x²+19x+1470 X=4 So the value is 4 CHECK IF THERE ARE OTHER VALUES!!! 7. The specifications for a storage container state that the length is 1 metre more than triple the width and the height is 5 metres less than double the width. Find the range of possible dimensions for a volume of at least 8436 m using the algebraic method. [T6] [CZ] We need the least volume of 8436m3 Let the width be x length becomes 1+3x Height becomes 2x-5 Volume-length x widthx height V= (3x+1)(x)(2x-5) We are given that volume-8436 (3x+1)(x)(2x-5)-8436 X(3x+1)(2x-5)-8436 X(6x³-13x-5)-8436 6x³-13x³-5x-8436-0 The polynomial 6x²-13x³-5x-8436 can be written as (x-12)(6x2+59x+703)>0 For this is product to be >0 Both (x-12)and(6x +59x+703) Should be greater than zero (x-12)>0-12 CHECK IF THERE IS ANY VALUES FOR X Hence any width>12 would serve the purposed. (-3) (-3) 6. The dimensions of a box are 3 cm x 5 cm x 7 cm. The width, length, and height of the box must be increased by the same amount x in order for the box to have a volume of 693 cm cubed. Determine the value of x that will produce a box with a volume of 693 cm³. [T4] [C2] (3+xX5+x)(7+x)-8693 X²+15x+71x+105-693 X+15x+71x-588-0 (x-4)(x+19x+147)=0 X-40 or x²+19x+1470 X=4 So the value is 4 CHECK IF THERE ARE OTHER VALUES!!! 7. The specifications for a storage container state that the length is 1 metre more than triple the width and the height is 5 metres less than double the width. Find the range of possible dimensions for a volume of at least 8436 m using the algebraic method. [T6] [CZ] We need the least volume of 8436m3 Let the width be x length becomes 1+3x Height becomes 2x-5 Volume-length x widthx height V= (3x+1)(x)(2x-5) We are given that volume-8436 (3x+1)(x)(2x-5)-8436 X(3x+1)(2x-5)-8436 X(6x³-13x-5)-8436 6x³-13x³-5x-8436-0 The polynomial 6x²-13x³-5x-8436 can be written as (x-12)(6x2+59x+703)>0 For this is product to be >0 Both (x-12)and(6x +59x+703) Should be greater than zero (x-12)>0-12 CHECK IF THERE IS ANY VALUES FOR X Hence any width>12 would serve the purposed. (-3) (-3)
Expert Answer:
Answer rating: 100% (QA)
7 24 let increase amount x length Sx un Width 3 x Com Height V lwk 693 5x 3x 7H 693 xx 15 8 x 7 ... View the full answer
Related Book For
Automation Production Systems and Computer Integrated Manufacturing
ISBN: 978-0132393218
3rd edition
Authors: Mikell P.Groover
Posted Date:
Students also viewed these mathematics questions
-
If the public debt increased by the same amount each month during the past three years, then a. The US treasury must have issued securities to fund a flow of government spending that exceeded a flow...
-
The dimensions of a room are 4.20 m X 3.00 m X 2.50 m. (a) Find the number of molecules of air in the room at atmospheric pressure and 20.0C. (b) Find the mass of this air, assuming that the air...
-
The dimensions of a rectangular building are 20 ft x 100 ft. The average outer wall temperature is 20F and the average inner wall temperature is 55F. Find the amount of heat conducted through the...
-
An assistant treasurer is currently reevaluating their firm's banking relationship. The firm's current lender charges an effective borrowing cost of 4.25 percent. A competing lender provides the...
-
Why are attitudes less long lasting than values, and why are moods more transitory than attitudes?
-
The chapter notes that clothing chain H&M only features computer-generated models on its Website. The company drew criticism for presenting only picture-perfect people. A company spokesman defended...
-
Objective To examine a firms current financing choices and to categorize them into debt (borrowings) and equity and to examine the trade-off between debt and equity for your firm. Key Questions ...
-
Rufus and Rhonda are a married couple with 3 dependent children, all under 16 years of age. Rufus, 46, is an executive with Plowshare Corporation. Rhonda, 39, is a self-employed attorney. Rufus...
-
Pisa Pizza, a seller of frozen pizza, is considering introducing a healthier version of its pizza that will be low in cholesterol and contain no trans fats. The firm expects that sales of the new...
-
Consider the following six months of returns for two stocks and a portfolio of those two stocks where you invest 50% of your wealth in Stock A and 50% in Stock B. What is the expected return and...
-
Define the pointwise semi-slant submanifold. Find the necessary and sufficient conditions that the holomorphic distribution of a pointwise semi-slant submanifold M of a Kaehler manifold M defines a...
-
An industrial press is mounted on a rubber pad to isolate it from its foundation. If the rubber pad is compressed \(5 \mathrm{~mm}\) by the self weight of the press, find the natural frequency of the...
-
How are the amplitude, frequency, and phase of a steady-state vibration related to those of the applied harmonic force for an undamped system?
-
Why is damping considered only in the neighborhood of resonance in most cases?
-
The amplitude of an underdamped system subject to an initial displacement \(x_{0}\) and initial velocity 0 is given by: a. \(x_{0}\) b. \(2 x_{0}\) c. \(x_{0} \omega_{n}\)
-
How is decibel defined?
-
For this assignment, you will apply each of the five core social motives to reflect on your social change identity. Address the following into sentences for each criterion: Describe how the motive of...
-
Design a circuit which negative the content of any register and store it in the same register.
-
In the circuit, suppose photo detectors were used to determine whether the lamp worked. If the lamp does not light when both switches are closed, the photo detector causes a buzzer to sound....
-
Name three production situations in which FMS technology can be applied?
-
A PLC is used to control the sequence in an automatic drilling operation. A human operator loads and clamps a raw work part into a fixture on the drill press table and presses a start button to...
-
Matt Lehti owns the Zap Record Shop. He is in the process of examining the following performance report: Matt is very pleased that the company had favorable variances for sales and income. However,...
-
Briefly explain intraperiod tax allocation.
-
For the first quarter of 2005, Philips Sales Corporation has budgeted sales of \($390,000\) and budgeted cost of goods sold of \($280,000.\) In addition, the budget for the first quarter of 2005...
Study smarter with the SolutionInn App