Problem: Write an article based on this summary: Understand that modifying Minecraft can cause issues that will stop the game from running correctly. Choose a mod download page that seems to be well used and trusted by Minecraft users. Look through the available mods.

Answer: Additionally, it is important not to download files that may be harmful to your computer. You may want to ask other Minecraft users what sites they use before you begin this process. Read the descriptions to find a mod that will help you adjust the game to your liking.


Problem: Write an article based on this summary: Hang items heavier than 10 lb (4.5 kg) from a ceiling joist. Purchase a screw hook for small, light items. Buy utility storage hooks to hang larger, heavier items. Find a ceiling joist where you want to hang your hook using a stud finder. Use a pencil to mark the desired location of your screw hook in the joist. Use an electric drill to drill a pilot hole into the ceiling joist. Place the pointed tip of the hook into the hole and screw it all the way in.

Answer: A joist is one of the beams that supports a ceiling. It's the securest place to fasten a hook for heavy items so that you don’t risk damaging the ceiling or the item.  For items lighter than 5 lb (2.3 kg), you can use an adhesive hook as an easy alternative. Adhesive hooks come in various sizes and are easy to remove without damaging the paint on your ceiling. Note that adhesive hooks only stick to flat ceilings, not textured ceilings. If the item is especially heavy, such as a bike, you will want to balance out its weight using 2 screw hooks. Hook screws are small fasteners consisting of a pointed, threaded end and a curved hook end. They are available at most hardware stores and will come in different sizes based on the amount of weight they can support.  There are various sizes and styles of screw hooks. If your item is small and can just be looped over or through a hook, then use cup hooks or eye hooks. For items 10 lb (4.5 kg) and up, use heavy-duty ceiling hooks that are 2 in (5.1 cm) or bigger. Utility hooks are bigger than regular screw hooks and strong enough to hold things like bicycles. They screw into a ceiling joist the same way as a screw hook. You can get utility hooks that are specially designed to hold a bicycle, called bike hooks. They have a rubber coating and are shaped to fit the wheels of a bike, so you could hang it from the ceiling of your garage, for example. Stand on something so you can reach the ceiling, hold the stud finder against the ceiling, and turn it on. Slide it around until it  lights up to indicate that you have found a stud.  You can also knock on the ceiling with your knuckles to find a joist if you don’t have a stud finder. The areas between joists will produce a hollow, resonant sound, while the joists will produce a shorter, firmer sound. If you have a crawl space or an attic above where you want to hang the hook with exposed joists, look to see which direction the joists are laid and also how far apart they are spaced. Make a small dot with the pencil on the ceiling joist where you want to put the hook. Pass the stud finder over it again to double-check that it is indeed on the joist. If you plan on hanging 2 hooks for a larger item, install 1 first, then hold the item up to it and check the spacing that you need for the other hook before you install it. Select a drill bit that is slightly smaller than the screw hook. Drill into the mark you made slightly deeper than the length of the screw hook’s threaded shaft.  The pilot hole will allow you to screw the hook into the ceiling by hand without it binding up or breaking. If the hole is too wide, the thread of the screw won't have anything to grab onto. If it is too shallow, you will have a hard time screwing the hook in all the way. Gently and firmly twist it clockwise into the hole. You will have to apply firmer pressure the deeper it goes.  If you have trouble twisting it through the last few rotations, grasp the hook gently with pliers and use the pliers to gain added torque to twist it the rest of the way in. Stop twisting once the base of the hook is flush with the ceiling. If you twist past this point, you could break the hook. This applies to both regular screw hooks and utility hooks. They both screw into the joist the same way.


Problem: Write an article based on this summary: Multiply the coefficients. Multiply the numbers inside the radicals. Simplify the product.

Answer:
The coefficients are the numbers outside of a radical. If there is no given coefficient, then the coefficient can be understood to be 1. Multiply the coefficients together. Here's how you do it:   Ex. 1: 3√(2) x √(10) = 3√( ? ) 3 x 1 = 3   Ex. 2: 4√(3) x 3√(6) = 12√( ? ) 4 x 3 = 12 After you've multiplied the coefficients, you can multiply the numbers inside the radicals. Here's how you do it:   Ex. 1: 3√(2) x √(10) = 3√(2 x 10) = 3√(20)  Ex. 2: 4√(3) x 3√(6) = 12√(3 x 6) = 12√(18) Next, simplify the numbers under the radicals by looking for perfect squares or multiples of the numbers under the radicals that are perfect squares. Once you've simplified those terms, just multiply them by their corresponding coefficients. Here's how you do it:  3√(20) = 3√(4 x 5) = 3√([2 x 2] x 5) = (3 x 2)√(5) = 6√(5) 12√(18) = 12√(9 x 2) = 12√(3 x 3 x 2) = (12 x 3)√(2) = 36√(2)