INPUT ARTICLE: Article: Every vector can be numerically represented in the Cartesian coordinate system with a horizontal (x-axis) and vertical (y-axis) component. It is written as an ordered pair v=<x,y>{\displaystyle v=<x,y>}. For example, the vector above has a horizontal component of 3 and a vertical component of -5, therefore the ordered pair is <3, -5>. When you draw the horizontal and vertical components, you end up with a right triangle. The magnitude of the vector is equal to the hypotenuse of the triangle so you can use the Pythagorean theorem to calculate it. The Pythagorean theorem is A2 + B2 = C2. “A” and “B” are the horizontal and vertical components of the triangle while “C” is the hypotenuse. Since the vector is the hypotenuse you want to solve for “C”.  x2 + y2 = v2  v = √(x2 + y2)) Using the equation above, you can plug in the numbers of the ordered pair of the vector to solve for the magnitude.  For example, v = √((32+(-5)2)) v =√(9 + 25) = √34 = 5.831 Don't worry if your answer is not a whole number. Vector magnitudes can be decimals.

SUMMARY: Determine the components of the vector. Draw a vector triangle. Rearrange the Pythagorean theorem to calculate the magnitude. Solve for the magnitude.

In one sentence, describe what the following article is about: If stress or anxiety is at the root of your skin-picking habit, try doing more soothing activities during your leisure time. When you feel stressed, practice  deep breathing, yoga, or  meditation. You might also carve out “me time” to do things like polish your nails, apply nourishing masks or lotions to your face (instead of harming it), soaking in the tub with bath salts, or reading a book. Does your tendency to pick at your face point to a bigger issue? For some people, skin-picking is a minor thing that doesn’t interfere with their lives. For others, it’s a serious condition that requires professional attention. See if any of the following apply to you:  Picking at your skin causes you significant distress--either you avoid others because of how your facial skin looks or you spend inordinate amounts of time dedicated to picking. Picking happens nearly all the time, even when you’re not conscious of it Picking at your skin has resulted in injury, infection, or serious scarring Compulsive picking can be a difficult habit to overcome alone. If you're having trouble, consider seeing a mental health professional who specializes in body-focused repetitive behaviors at https://www.bfrb.org/. A psychiatrist or psychologist can help treat your picking disorder and offer much-needed encouragement, too.  If you have compulsive skin-picking disorder, you might benefit from proven treatments like cognitive-behavioral therapy or a class of antidepressant medications known as selective serotonin reuptake inhibitors. Therapy can help examine and change the underlying thought problems that contribute to skin-picking, such as thinking “My skin needs to be perfect.” Medications can help ease obsessive thoughts that tempt you to pick.
Summary: Create a self-care routine. Recognize when skin-picking becomes a problem. Get help if you can't stop picking on your own.

If your claim is approved, you will receive some form of compensation for lost and damaged items, as well as any property damage. However, the time table for this will vary, depending on your insurance company, your specific policy, and whether or not your claim is found to be payable. Your claim will only be deemed payable once:  you and your insurer agree on the extent of damage and the cost of repairs/replacement you have completed and submitted an accurate, signed proof of loss form any supporting documentation has been submitted with your claim If both your home and the contents of your dwelling are damaged, you may receive two separate checks from your insurer. One will be made out to you for the home damage, or to you and your mortgage lender (if your home is mortgaged). Another check will be sent solely to you to compensate you for the items lost or damaged inside your home. Many mortgage policies require you to name the mortgage lender in your homeowner's policy and stipulate that they receive a portion of any structural damage insurance settlements. Some insurance policies are classified as replacement cost policies. This means that any personal possessions that are damaged must be replaced by you out of pocket before your insurance company will reimburse you.  If you do not want to replace certain items that were damaged/destroyed, your insurance company will pay you those items' cash value instead. You will typically have several months (depending on your policy) to replace your items and collect the full replacement cost after receiving your initial cash value payment. Some repair and construction companies may ask you to sign a "direction to pay" form, which takes you out as the middle man and has your insurance company pay the money directly to that repair company. This is not necessarily a bad thing, as it simplifies the repayment process. Direction to pay arrangements are not dictated by your insurance company. It may be requested by a construction company, and it is up to you to either go with that company or find another one if you do not want direction to pay. Once repairs are underway (or even completed), you may later find additional damage that was caused by the flooding. This may be structural property damage or personal property. If you want to get compensation for these additional damages, you'll need to file a request for an Additional Flood Payment with your insurer.  You will need to repeat the entire claims process, but only for the damage you recently discovered. Your request must be made within the standard 60 day limit, unless you've been granted any time extensions by FEMA. Notify your adjuster or insurance agent immediately upon discovering any additional damage. Document the newly-discovered damage as you did previously. Your adjuster may need to visit your home to assess the most recently-discovered damage and verify your losses.
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One-sentence summary -- Know when you'll receive payment. Receive compensation for home and property. Accept compensation with a replacement cost policy. Get a "direction to pay" arrangement. Request additional payments.

INPUT ARTICLE: Article: Mix a quarter cup of shampoo with equal parts water and add 2–4 tablespoons (29.6–59.1 ml) of oil. Sulfate free shampoos may prevent your scalp from becoming irritated and may stop your hair from becoming frizzy and easily breaking. With cornrows it’s important that you capture your hair’s natural oils to prevent frizziness.  Shake the bottle before applying the solution. You can use grapeseed, jojoba, coconut, or olive oil depending on what kind of hair you have. Coconut oil and jojoba oil work well for all hair types. Almond oil works well if you have dandruff. If you don’t have a spray bottle you can use a small bowl. Running your cornrows under warm water will open up your cuticles, and rinse the initial dirt out of your hair. Using a portable shower head can make this process easier. Shake your shampoo solution and apply it generously to your head and hair. If you're using a bowl, take some of the shampoo and lather the mixture in your hands. Once your hands are lathered apply it generously to your hair. Do not neglect your scalp. This area can have a lot of built up dirt and leftover residue from hair products you've used in the past. Use your fingers to gently massage each cornrow until all of them are lathered.  You should wash your cornrows every 7-10 days.  Washing your cornrows will prevent breakage when you take your braids out. Make sure that you rinse your hair thoroughly—for 3 to 5 minutes—to get all of the shampoo out of it. Leaving shampoo residue in your hair can irritate your scalp. Leaving shampoo in your hair could create residue build-up from the chemicals in your shampoo.

SUMMARY:
Mix sulfate free shampoo, oil, and warm water in a spray bottle. Run your head under warm water. Spray your shampoo solution onto your cornrows and scalp. Massage the shampoo into your scalp and braids. Rinse your cornrows.