- 1). Write out the exponential equation in its quadratic form. For example, the equation 6e^(2x) - 7e^(x) + 2 = 0 would be written as 6(e^x)^2 - 5(e^x) + 2 = 0.
- 2). Factor the equation. In the example, this would reduce to (2e^x - 1)(3e^x - 2) = 0.
- 3). Determine the points at which the function equals zero. This is done by setting each factor to zero. In the example, this would mean 2e^x - 1 = 0, and 3e^x - 2 = 0.
- 4). Separate the terms with the exponents on one side of the equations and constants on the other. In the first factor, this would reduce to 2e^x = 1, then e^x=1/2. In the second factor, it would reduce to 2e^x = 2, then e^x = 2/3.
- 5). Take the natural log of each side of each equation. This would turn the first equation into Ln(e^x) = Ln(1/2), and the second equation into Ln(e^x) = Ln(2/3). The natural log cancels out the exponent, which sets the first equation to x = Ln(1/2), and the second equation to x = Ln(2/3). You can use a scientific calculator to find the decimal versions of these natural logs.

- Tree stump carvings are typically of animals.Jason Todd/Photodisc/Getty Images

In the past, tree stumps were carved into the shape of various animals. North American animals, such as bears and raccoons have been some of the more commonly used models for carving tree stumps. These large sculptures are typically used as ornaments for the the exterior of a home or garden; however, you need not stick with animals when carving wood stumps. You can create people, symbols and modern art through tree stump carving.

- Large tree stumps can be carved into human beings. Native Americans' large headdresses are easily recognizable---and easier to carve---as the edges are less jagged. Tree stump carvings of people do not have to consist of native Americans, though. They can be children or soldiers and anything in-between. People carvings can reflect various professions and bring attention to the buildings around them. For example, you can carve a mail carrier near a post office or a firefighter near a fire station.

- Tree stump carvings can give way to symbols, such as a holy cross or a money sign. If you run a daycare, you could carve the stump into a smiley face to give your daycare a more relaxed, fun feel. If you own a gym, you can carve the stump into the shape of a barbell. Let your imagine run wild.

- Modern art is about expressing your emotions. Use your carving tools to create whatever abstract shapes you see in your mind's eye. It can simply be a shape that expresses your current mood. For example, a wavy design may portray that you are optimistic, while a spiral pattern may signify that you are feeling lost or confused.

- 1). Multiply the number of kilowatt hours by 3.6 million to find the value in joules. For example, 10 kilowatt hours equal 36 million joules.
- 2). Divide the number of joules by the specific time involved in seconds. This gives you the power in watts. If 36 million joules were used during 6,000 seconds, for instance, then 6000 watts were used.
- 3). Find the current in amperes by solving the equation I=square root of (P/R). In that equation, "I" represents the current in amps, "P" is the power in watts and "R" is the resistance in ohms. For example, if P is 6,000 watts and R is 10 ohms, then I is the square root of 6,000 watts divided by 10 ohms, or 24.5 amps.

Find the amps using voltage by solving the equation I=P/V. In that equation, "I" represents the current in amps, "P" is the power in watts and "V" is volts. If the voltage is 10 volts, then I is 6,000 watts divided by 10 volts, or 600 amps.

- 1). Attach your USB cord from your laptop or desktop to your embroidery design software such as Magic Box, Wings XP or Embird. Then, double-click the software symbol on your desktop.
- 2). Put your embroidery design card in the proper slot. Depending on the software you use, the place where you put your card varies.
- 3). Click your mouse on the words "File" and "Open" to view the contents of your "OESD Designs" folder, to find the design you desire to convert. Highlight the actual file, and click on the "Open" option.
- 4). Click your mouse on the "File" option once again, but this time choose "Save As," "Save as Type," as well as the exact file extension of your particular embroidery machine. Save your changes.

- The Psi Wheel is a homemade device used to hone or develop telekinetic powers on an elementary or rudimentary level, usually considered the best tool or apparatus utilized when gauging an individual's base telekinetic power. The reason for this is the Psi Wheel has an easily-assembled design and can be made from common household items, which is the first step in controlling the apparatus without using the force of touch.

- The makeup of a psi wheel should always consist of common and lightweight materials, especially when the individual constructing and planning on controlling the apparatus is a beginner in telekinetic attempts. The psi wheel itself somewhat resembles a pinwheel, with a needle or pencil representing the base, and a lightweight material resting on the top, or tip, of the needle, which has been folded to resemble a pinwheel's wheel. However, this wheel doesn't sit perpendicular to the needle it is rested on, like a pinwheel often does. Rather, the wheel portion of the psi wheel rests on top of the needle, facing downward to give the appearance of an umbrella over the needle it's resting on. No matter the base construction, the wheel itself should be formed out of something light and pliable, such as paper or even tinfoil. Tinfoil is usually best, because of its ability to hold a folded shape while remaining light.

- Once the apparatus is constructed, the next step is to utilize both hands to turn the wheel without touching it. In order to do this, hold both hands together without touching, focusing as hard as you can to visualize and thereby create an electromagnetic field between both hands. Trying to create this field through visualization is extremely important, because it's this mind-generated field that creates the power to move the wheel. The best way to do this is to visualize a colored field between the hands that is controllable as well as moveable, in some cases allowing you to feel an electric charge being transferred from hand to hand.

- Once you are able to physically feel a force being created between your hands, place them in a hovering position over the wheel, with the focus remaining on the force from the hands moving the wheel. This process usually requires much practice, often meaning daily attempts. In order to prevent you from creating false results, a clear cover of some sort, possibly a plastic bowl or similar item should be placed over the wheel in order to prevent air currents or your breath from moving it.

- 1). Measure the area where you want the facade to go, whether it is going to cover a wall or a play set. Take the measurements of the height and width of the area, so you know how big the facade needs to be.
- 2). Purchase a sheet of plywood from a building supply store, making sure it is the same size as the measurements you took for the space the facade will ultimately go. Most building supplies can cut a piece of plywood to your specifications at no extra cost.
- 3). Draw the shape of a saloon onto the plywood with a pencil, making a slanted roof and perhaps a chimney. Look online for pictures of old western saloons if you need inspiration or ideas. Make sure your drawing takes up the entire area of the plywood.
- 4). Cut out the drawing using a hand saw, the smooth out the entire surface of the board with sand paper. Remove any rough patches and run the sand paper over the freshly cut edges, to prevent splinters.
- 5). Paint the plywood to resemble a saloon front. Give it a base coat of brown paint, then paint the roof a red or brick color. Paint a black rectangle in the center of the facade to make a dark entry way, and paint some red swinging doors over the entry. Let dry.
- 6). Paint two black squares on either side of the entry to make windows, and use white paint to make some shattered glass or bullet holes. Paint a cactus to one side of the entry and a tumbleweed on the other side, and use black paint to write Saloon over the top of the doorway. Let dry.
- 7). Attach the facade to a wall or play set with a hammer and nails.

- 1). Turn the pixel into a fraction to convert it to a percentage. Think of a pixel as a fraction over a denominator of 16. If you have 12 pixels, think of this as 12/16 pixels.
- 2). Multiply the numerator of the fraction by 100, and divide by 16 to convert pixels to fractions. If you have 12/16 pixels, 12 x 100 is 1200/16 = 75 percent.
- 3). Turn the percentage into a fraction to convert it to pixels. Fifty percent is really 50/100, for example.
- 4). Multiply the numerator of the percent by 16 and divide by 100 to turn the percentage into pixels. If you have 50/100 and want to turn this into pixels, 50 x 16 = 800/100 = 8 pixels.

- Lodestone is a magnetite crystal that has been exposed to a large magnetic field. Current theories are that lodestones are formed when large magnetite formations are struck by lightning. The lightning imparts a large electrical current into the crystal which in turn creates a magnet field. This field is powerful enough to magnetize some of the magnetite and turn it into lodestone. This process has been replicated in labs, but some lodestones have been found deep underground where lightning could not have struck, raising the possibility that large amounts of heat from magma could also make lodestone.

- Lodestone has historically been used for compasses. In fact "lode" also means "way" in old English. Ancient mariners have used lodestones as compasses since 200 BC, as evidenced by a sunken Chinese ship from that era that had a dozen lodestone compasses. However, lodestone has since fallen out of favor due to artificial magnets being so cheap and plentiful. In addition, artificial magnets are far more versatile for industrial applications.

- A lodestone works just like any other magnet. It has a north pole and a south pole. The lodestone will be attracted to any ferromagnetic material including iron, nickel, cobalt and some alloys. Over time, however, the lodestone can lose it's magnetism, especially if it is exposed to electricity or another, stronger magnet. Lodestones will also lose their magnetism over time due to the Earth's own magnetic field, though that can take decades.

- Historians argue that the lodestone was directly responsible for the European Age of Discovery. It was a lodestone compass that allowed Columbus to discover North America. Lodestone compasses allowed Spanish galleons to cross between Central America and Spain.

- In a crystal the molecules link together to form flat planes that themselves link together at regular angles to form geometric shapes. The exact shape that is formed is determined by the nature of the material's molecules and the environment they bond together in. The properties the crystal has are also determined by these factors.

- Nowhere is this more apparent than with carbon crystals. Carbon forms two kinds of crystal: diamond and graphite. Both are made out of the same substance, yet they are very different in both nature and appearance. Diamond is transparent and hard. Graphite is black and soft. Because the carbon atoms in diamond are connected together as tightly as possible and the atoms of graphite are much more loosely connected, the crystals they form have very different properties.

- Other crystalline properties vary with structure too. Different crystals conduct heat differently. They react to electricity and magnetism differently. They have different colors and even break differently. Some even have special properties, like the Iceland spar crystal, which polarizes light shining through it.

- Many different sorts of materials are crystals. Precious stones like rubies, diamonds, and emeralds are crystals. So is the material many pencils are made out of. Ice is a crystal. So are snowflakes. Salts are mineral crystals made up out of ions, which are electrically charged atoms. Metals are also a kind of crystal.

- Crystals are even found in living things. Proteins can have a crystalline structure. Viruses are living crystals according to A. J. Malkin and team at the University of California Department of Biochemistry. Most living beings incorporate various crystalline substances into their bodies. Blood, for instance, is based on iron, and iron is a crystalline metal.

- 1). Cut the card in half, cutting along the fold. You will end up with two pieces, the front of the card and the back of the card.
- 2). Cut about one-eighth inch off one side and one end of the back piece. The reason for trimming the back half is to make it smaller, so that the lid will fit on the box.
- 3). Fold each end, and each side of both pieces one-half inch. After making each fold, run a ruler over the fold to make a crease, and then unfold and do the next side, until all four sides of each card half has a one-half-inch crease.
- 4). Look at an unfolded piece and note the square crease located at each corner of each piece, created by completing the previous step.
- 5). Cut with a scissors one line of each square, making the cut from the narrow ends of the pieces. This will create little tabs.
- 6). Lay each card half upside-down, so you are looking at the sides which will be the interior of the box.
- 7). Fold the box into place by bringing up the creased sides and tucking the tabs (created in the previous step) on the inside of the box and taping into place.
- 8). Place the box cover atop the box bottom.