Summarize the following:
Yarn is made up of strands, which are twisted together to form plies. Working with plied yarn is especially helpful when you’re working on cable and stitch patterns. If you’re looking to make your stitches stand out, use a smooth, plied yarn in a solid color.  The thickness of yarn is determined not by how many plies you have, but how thick the individual plies are. For example, a 4-ply yarn can be thinner than a 1-ply yarn, provided the plies in the 1-ply yarn are finer than in the 4-ply. If you’re working with a wide yarn, choose a simple pattern. Working with colored yarn can be counterintuitive: the more colorful your yarn, the simpler your stitching should be. Bright or novelty colors can distract or hide complicated work, so consider this when you’re picking a colored yarn to work with your pattern.  Choose a plain, solid yarn to make the texture and shape of your project pop. If you’re working with Fair Isle patterns, choose smooth plied yarns in contrasting colors so your patterns will show up. Consider using hand painted yarn for a subtle watercolor technique. If you’re a beginner, steer clear of novelty yarns. The yarn is harder to see and it makes fixing mistakes or ripping out stitches much more difficult. Certain yarns lack elasticity, which might not work with the pattern you’re hoping to use. Either pick a pattern that hangs straight, or ask a specialty store employee for elastic thread to help edge your pattern.  Cotton and silk yarns both have very low elasticity. Animal fibers are warm and lightweight and ideal for making cold weather accessories.  Plant based fibers are strong, durable and moisture wicking, making them ideal for spring and summer clothing. Cashmere is lightweight and durable, but more expensive. It is ideal for making scarves, shawls and sweaters.

summary: Choose your yarn based on plies. Choose based on color. Choose based on fiber content.


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Different beers, ciders, and other hard drinks have different alcohol content. If you want to get drunk faster, go for drinks with a higher alcohol content. You can usually see the alcohol content on the side of a bottle. A higher percentage means the drink is likely to get you drunk faster.  Beers with higher alcohol contents often have around 15-18% alcohol. They may come from smaller, more independent breweries as opposed to larger companies. Even beers with around 11% alcohol content are quite potent. If you can't find something in the 15-18% range, see if you can find anything at around 11% alcohol. Remember your limits. A few strong beers can really set you over the edge. Slow down the pace of you're drinking when you feel buzzed. If you start to feel very dizzy or sick, this is a sign you need to stop drinking. You do not want to end up ill from alcohol. Mixing spirits with diet mixers, like diet soda, gets you drunk faster. This may be because regular sodas are recognized as food, slowing down the body's absorption of alcohol. The body may not treat diet soda as food, allowing the alcohol to be absorbed quicker. People do not necessarily notice they're getting drunk faster when mixing spirits with diet mixers. If you're mixing liquor with diet soda, make sure to be aware you may be drunker than you realize. Bubbly drinks may get you drunk faster. If you're looking to get drunk fast, and like champagne and spritzers, order a bubbly drink. Bubbly drinks include champagne, sparkling wine, spritzers, and drinks mixed with tonic water. Hard liquors can get you drunk faster than beer or wine, as they have a higher alcohol content. Doing shots can be particularly useful, as you'll be absorbing high alcohol products fast. Vodka in particular has been shown to increase the speed of intoxication. Try drinking hard liquors if you're looking to get drunk fast.  Keep in mind, depending on the bar, drinks will be stronger or weaker. Some bartenders may, for example, give you considerably more than a single serving of liquor in a mixed drink. You can also ask for a double of something. This will allow you to get two servings in a single drink. If you're drinking more, and faster, this will allow you to get drunk quicker. Liquor has a very high alcohol content. Overdoing it on liquor can land you sick. Try to stick to only one or two hard drinks.

summary: Keep an eye on alcohol content. Opt for a diet spirits with liquors. Try bubbly drinks. Choose hard liquors over beer.


Summarize the following:
To get an object's instantaneous velocity, first we have to have an equation that tells us its position (in terms of displacement) at a certain point in time. This means the equation must have the variable s on one side by itself and t on the other (but not necessarily by itself), like this:s = -1.5t2 + 10t + 4 In this equation, the variables are:   Displacement = s . The distance the object has traveled from its starting position. For example, if an object goes 10 meters forward and 7 meters backward, its total displacement is 10 - 7 = 3 meters (not 10 + 7 = 17 meters).  Time = t . Self explanatory. Typically measured in seconds. The derivative of an equation is just a different equation that tells you its slope at any given point in time. To find the derivative of your displacement formula, differentiate the function with this general rule for finding derivatives: If y = a*xn, Derivative = a*n*xn-1.This rule is applied to every term on the "t" side of the equation. In other words, start by going through the "t" side of your equation from left to right. Every time you reach a "t", subtract 1 from the exponent and multiply the entire term by the original exponent. Any constant terms (terms which don't contain "t") will disappear because they be multiplied by 0. This process isn't actually as hard as it sounds — let's derive the equation in the step above as an example:s = -1.5t2 + 10t + 4(2)-1.5t(2-1) + (1)10t1 - 1 + (0)4t0-3t1 + 10t0-3t + 10 " To show that our new equation is a derivative of the first one, we replace "s" with the notation "ds/dt". Technically, this notation means "the derivative of s with respect to t." A simpler way to think of this is just that ds/dt is just the slope of any given point in the first equation. For example, to find the slope of the line made by s = -1.5t2 + 10t + 4 at t = 5, we would just plug "5" into t in its derivative. In our running example, our finished equation should now look like this:ds/dt = -3t + 10 Now that you have your derivative equation, finding the instantaneous velocity at any point in time is easy. All you need to do is pick a value for t and plug it into your derivative equation. For example, if we want to find the instantaneous velocity at t = 5, we would just substitute "5" for t in the derivative ds/dt = -3 + 10. Then, we'd just solve the equation like this:ds/dt = -3t + 10ds/dt = -3(5) + 10ds/dt = -15 + 10 = -5 meters/second Note that we use the label "meters/second" above. Since we're dealing with displacement in terms of meters and time in terms of seconds and velocity in general is just displacement over time, this label is appropriate.
summary: Start with an equation for velocity in terms of displacement. Take the equation's derivative. Replace "s" with "ds/dt. Plug in a t value for your new equation to find instantaneous velocity.