Aluminum has a density of 2.7 g/cm^3. A cube of aluminum is carved from the corner of a larger cube, reducing the larger cube's mass by 12.5%. If the smaller cube has a mass of 172.8 grams, what is the side length of the original cube?

Q: An open top box, with a square base is being designed. Material costs 126/cm². What is the largest…

A: Given that the cost of the material is 12 c/cm2. The cost of the box is $51.84. To find the largest…

Q: Suppose the section of tree trunk shown has a cross-section area of 113 in and a length of 30…

A: Given, Cross section area of the trunk = 113 in2  Length of trunk = 30 in  We have to find the…

Q: A floor is covered by 800 tiles measuring 10 cm^2. How many square tiles of side 8 cm would be…

A: First, we need to calculate the total area of the floor that is covered by the 800 tiles. Each tile…

Q: 4) Sandy has recently begun kickboxing and purchased training equipment as modeled in the diagram…

A: To find the total weight of the training equipment

Q: 10a. If mKL = 146 and mLM = 68", %3D %3D find mZL. K M m²L=;

A:

Q: A square is enlarged by increasing the length of its sides by 14%. If the length of its sides was…

A:

Q: A cylindrical road roller made of iron is 1 m long. Its internal diameter is 54 cm and the thickness…

A: Given, Length of cylindrical roller = 1 m = 100 cm internal diameter = 54 cm Thickness of iron sheet…

Q: a box stores 27 pencils, a carton of pencils contains 26 boxes, each pencil has a mass of 1.11 g.…

A: A carton has 26 boxes of pencils. Each box has 27 pencils. Therefore, number of pencils in 1 carton…

Q: 4. A water tower is built in the shape of a right circular cylinder whose base is 10 meters in…

A: The tower is built in the shape of a right circular cylinder with base diameter 10 meters and…

Q: A 10cm tall cone with base radius of 10 cm is put pointy side down into a vat of still water and it…

A: Archimedes's principle states that the upward buoyant force that is exerted by the fluid is equal to…

Q: What is the mass of 0.5m^3 of water?

A: To find the mass of the water

Q: No hand written solution and no img  A square poster had 9 in. added to it's width and 2 in.…

A: Let's assume that the original length of the square poster is x inches. Then the original width is…

Q: Calculate the maximum volume of the open-topped box made by cutting out four equal size square…

A:

Q: If a drug has a concentration of 3.04 mg per 1.423 mL, how many mL are needed to give 2.651 gram of…

A:

Q: 5. A container has the following interior measurements: 12 cm long, 10 cm wide and 8 cm high. If you…

A:

Q: 1) The side of a square measured 6 inches with a possible error of  +/- 1/6 inches. Estimate the…

A: 1) Given:The side of a square=6 inchThe possible error =±16inchTo find:The error in…

Q: A floor is covered by 800 tiles measuring 10 cm^2. How many square tiles of side 8 cm would be…

A: First, we need to calculate the total area of the floor that is covered by the 800 tiles. Each tile…

Q: The density of pure iron is 7.874 g/cm.A piece of steel made of pure iron and other types of iron is…

A: Given data is : Density of pure iron ρ1=7.874 g/cm3

Q: A floor is covered by 800 tiles measuring 10 cm^2. How many square tiles of side 8 cm would be…

A: Step 1:Given that the floor is covered by 800 tiles, each measuring 10 cm2. The total area of the…

Q: an absorbent material can retain 35% of its own mass in moisture, then how much of the absorbent…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.