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- A rectangular box for a new product is designed in such a way that the three dimensions always have a particular relationship defined by the variable x. The volume of the box can be written as (6x^3)+(31x^2)+(53x)+30, and the height is always x+2. What are the width and length of the box?A sphere of radius r has surface area A = 4πr2 and volume V = 4/3πr3. The radius of sphere 2 is triple the radius of sphere 1. What is the ratio of the areas, A2/A1?The length and width of a rectangular room are measured to be 3.885 ± 0.0065 m and 3.2 ± 0.0045 m. In this problem you can approximate the error on a product or quotient of quantities by the sum of the percent error on each quantity.Calculate the floor area of the room in square meters.
- 6. The volume of a cube is 250 mm3. What is the length of one of the sides? (Express your answer in meters.)What is the area of a circle which has a diameter equal to 3.138 cm? Hint The area is cm².Now you will use the ruler to measure the dimensions of a block of pure aluminum metal. Make sure you report both the uncertainty and an estimated digit with your answers. V [ Select ] 1 21 1.5 cm +/- .1 cm cm 1.38 cm +/- .01 cm What is the best measurement of the length of this block? 1.35 cm +/- .01 cm 1.3 cm +/- .1 cm 1.40 cm +/- .05 cm
- In the last step, are we supposed to multiply by 0.5? If so the answer is .65. Is this correct?Soccer fields vary in size. A large soccer field is 144 meters long and 84.4 meters wide. Hint a. What are its dimensions in feet? o Its length is ft. o Its width is b. What are its dimensions in inches? o Its length is o Its width is ft. in. in.Pls help ASAP. Pls give the significant figures of each of the answer.
- 1. Multiplication or division: keep the same number of significant figures in the product or quotient as is in the least precise factor. Examples: 3.1 * 25.6=79.360000... = 79 6.7/981.0=0.0068297655... = 0.0068 keep only 2 significant digits 2. Powers or roots: keep the same number of significant figures as in the original number. Example: Sqrt(38) 6.164414... keep only 2 significant digits = 6.2 (11.6)² = 134.5600000... = 135 Exercises 3. Addition or subtraction: Round off, to the number of decimal places determined by the number with the least number of places beyond the decimal point. Example: 31.5+24.61 +3.28+1.19 +0.762 +0.003 = 61.345 1. 3.9 * 78.9= = 61.3 (correct result) 2. 32.01 +96.321 +36.98 +0.00023 +28.9= 3. 26.9/98 = 4. 421 0.003 =Practice) a. To convert feet (ft) to meters (m), the number of feet should be multiplied by which of the following conversion factors? i. 1 m/3.28 ft ii. 3.28 ft/1 m b. To convert sq.in to sq.ft, the number of sq.in should be multiplied by which of the following conversion factors? i. 144 sq.in/1 sq.ft ii. 1 sq.ft/144 sq.in c. To convert sq.yd to sq.ft, the number of sq.yd should be multiplied by which of the following conversion factors? i. 1 sq.yd/9 sq.ft ii. 9 sq.ft/1 sq.yd 3. (Practice) Determine the final units of the following expression: 9.8m/s2 ×100cm/1m×1in/2.54cm×1ft/12in 4. (Practice) a. Determine the conversion factors that can be used to convert miles per gallon (mpg = mi/gal) to kilometers per liter (km/liter), given that 1 liter = 0.22 gallons and 1 kilometer = 0.6214 miles. b. Using the conversion factors you determined in Exercise 4a, convert 25 mpg into km/liter. 5. (Automotive) a. An automobile engine’s performance can be determined by monitoring its rotations per…U.S. football field is 120 yards long (including the end zones). How long is the field in the following units of measurement? (a) meters (b) millimeters mm (c) feet ft (d) inches in