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1. Three numbers are so related that the second number is 2 more than the first number and the third is 4 more than the first. The sum of their squares is 56 more than three times the square of the smallest number. Determine the following: a) The numbers b) Explain the concepts/principles that were considered and the factors that affected the condition of item (a) 2. The length of a rectangle exceeds its width by 6 units. If each dimension were increased by 3 units, the area would be increased by 57 square units. Determine the following: a) The dimension of the rectangle b) Explain the concepts/principles that were considered and the factors that affected the condition of item (a) 3. An alloy of silver and gold weighs 15 ounces in air and 14 ounces in water. Assuming that silver loses 1/10 of its weight in water and that gold loses 1/19 of its weight in water. Determine the following: a) The amount in ounces of each material in the alloy b) Explain the concepts/principles that were…

12 The density of a solid is its mass divided by its volume. If the mass is measured as 42.5 ± 0.5 g and the volume as 54 ± 1 cm', what will be the worst possible error in the calculated density? (787124 kg/m3)

10.Compute the pressure difference between 'm' and 'n' as shown by the differential manometer in KPa water plpeline +. where: a= 12" b= 3.2' C= 4.0' d- 12" mercury density (16 300 kg/m³) water pipeline

A bookshelf needs to be built to hold 200 novels.  The depth, width and height of the largest novels are 8 inches by 2 inches by 10 inches, respectively and the novels need to sit in the bookshelf so that the largest novel fits perfectly without any overhang of shelf showing.  The homeowner would like 4 shelves to hold all the books, with one extra shelf to hold future books (5 total shelves).  Each of the four shelves will hold 50 books.  The homeowner wants no more than one-inch thick wood shelving. Create an orthographic scale drawing of the bookshelf on grid paper.  Be sure to include the front, side, and top views.  Include a scale.

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1.5 A reservoir exists at a temperature of 25 C suitable for storing gas. It has an areal size of 2.5 km' and is 20 m thick. The average porosity is 20% and there is no water present. How much gas (with the same composition as in Exercise 1.3) can be stored at a pressure 24 MPa?

1.6 What is the density of a metal sample if a15.12-g sample is added into a graduated cylinder increased the liquid level from 35.00 mi to 40.60 raL?

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Vertically 300lb/pulg2 and horizontally 150 lb/pulg2 I have only this data please answer.

A cold storage locker plant shows that each locker should be large enough to store about 300 lbs. of meat or measure about 20 in. by 20 in. by 3 ft. deep. For this size of plant, it is found that a single story building 45 ft by 60 ft. will be required to house lockers, refrigeration machinery, preparation room and office. The building will have about 30,000 cu. ft. Determine the first cost with the following data: Number of lockers 50 Cost of building P5.00 per cu. ft P1,000 each P2,000 per locker Lockers and insulation Refrigeration machinery and other | equipment Land (35 m x 50 m) Working Capital P35,000 P20,000

Hi, I am needing help with a formula to calculate fabric cost. Sample: 1. Fabric used per piece, 0.78 yards. Price per yard is $4.25 and 60" wide fabric. What is my cost. ? I need to get the cost of each of these materials. Each item has a different price per yard. I need the MATH FORMULA to get my cost of the final product. Just solve the sample correctly and handwritten

A robotic-wheeled vehicle that contains science instruments is used to study the geology of Mars. The rover weighs 416 lb on Earth. a. In the USCS dimensions of slugs, what is the rover's mass? (Express your answer using four significant figures.) slugs m = In the USCS dimensions of lbm, what is the rover's mass? (Express your answer using three significant figures.) |lbm m = b. What is the weight of the rover as it rolls off the lander's platform (the lander is the protective shell that houses the rover during landing)? The gravitational acceleration on the surface of Mars is 12.3 ft/s?. (Express your answer using four significant figures.) w = lb

1.4 A new foam-like material called Aerogel is the lightest, most porous solid material ever made. The specific gravity of Aerogel is only 0.00325. A standard pick-up truck holds a volume of about 48.0 ft3. Determine the number of these trucks that would be required to transport 1.00 ton (i.e., 2000 lb) of Aerogel.

Using only Table A (Conversion of Units), calculate the values asked.  All answers must be given with the primary dimensions and units of the SI system. 988 465 mg a substance fills a volume of 3 288in3 , determine the specific volume

1 0 Calculate the total volume of the cylindrical component below (not to scale): L1 D1- D1 = 1.12 cm D2 = 0.71 cm D3 = 1.58 cm L1 = 18.68 cm L2 = 15.36 cm L3=13.77 cm L4 = 9.77 cm Answer: Check L2 L3 L4 D2- What is the volume of the cylindrical component? (State your answer in S.I. units (m³), accurate to 3 significant figures) D3

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READ CAREFULLY !! > ROUND OFF/UP YOUR ANSWERS TO 4 DECIMAL PLACES. INCLUDE ALL THE NECESSARY UNITS. <

How do you solve for the resultant forces?

3. A 5 kg object has a volume of 1000 cc. What is it's specific weight in lbf/cubicft? 4. What is the specific gravity of an object with a mass of 50 lbs and a volume of 12 liters? I need a step by step solution for this please. Include illustrations if necessary for me to undersatnd more.

Using unity conversion ratios, show that 1.00 lbm weighs 1.00 lbf on earth

Find out the silk density in g/cc if the specific gravity of the fiber is given as 1.32. Provide your answer with two decimal positions and no unit. Answer:

Please try to answer the question within 25 minutes here value of R is 48

7. From measurements taken on the variation of pressure with depth in a liquid, it was found that, on a certain day, 2m below the surface of a given liquid, the absolute pressure was 1.17 x 105N/m², while at a depth of 5m the absolute pressure was 142kN/m². Find a) the relative density of the liquid; b) the atmospheric pressure on the day in question.

What is the mass, in ounce mass, of the object below? Hint: A and B are parallels respectively.  (Symmetrical | Unit: Inches | Physical Material: Aluminum |

0.64 نقطتان )2( A solid ball has a mass of 20 grams and a radius shown in micrometer. * ?What is the density for the balt 30 25 20 104.1 g/cm³ 10.41 g/cm³ 0.104 g/cm3

I need to lift a large engine block but at my age, I can only create 160lbs of force. I will build a lever to assist me. The fulcrum is placed 1.5 ft away from the 575lb block. How far away will i need to be from the fulcrum to achieve movement of the block?

The mean weight of five complete computer stations is 167.2 pounds. The weights of four of the computer stations are 158.4 pounds, 162.8 pounds, 165.0 pounds, and 178.2 pounds respectively. What is the weight of the fifth computer station?

Handwriting not allow please And give me complete answer

Determine the magnitude and coordinate direction angles of the resultant force acting at A. FB= 900 N A Fc= 600 N C 6 m 3 m 45° B 45 m 6 m

i) Find the property that provides the change in size of the material, if the material is subjected to temperature change and explain that property with unit. ii) Water of 1.6 liters is heated to a maximum temperature of 116 °C from room temperature to prepare Arabic coffee for a family using the following data. -- (2.5 Marks) - Heat energy of 623 kJ is supplied to the water - Specific heat capacity of water is 4.2 kJ/kg K - Density of water as 1000.5 kg/m3 Determine the room temperature. a) Mass of water (in kg) b) Room temperature (in °C