SAT Math Combining Exponents

While the basic rules of exponents will really help on your SAT, you’re also going to need to know how to combine exponents. There are a number of common mistakes here, and they’ll all lose you points if you’re not careful. When to add or subtract exponents If you’re multiplying two powers with the same bases (which is x, here), then you can just add the two exponents. Let’s use actual numbers: It’s pretty easy to see why if we expand the equation. Similarly, if we divide powers that have a common base, then we can just subtract the exponent in the denominator from the one in the numerator. Be careful that you only do this when the bases are the same! When to multiply or divide exponents When you have a power of a power, you can multiply those exponents. Don’t add them! Since roots are the opposite operation of powers, just like division is the opposite of multiplication, you can divide an exponent by the radical. Again, if we use real numbers and expand it, the reasons why are pretty clear. When to distribute exponents and roots If you have an exponent outside of parentheses that contain two multiplied numbers, you need find the power of both factors. 2*{3^2} title=(2*3)^22*{3^2}/> And there’s another common exponent mistake made in this kind of situation: don’t distribute exponents to terms inside the parentheses that are added or subtracted. {x^z}+{y^z} title=(x+y)^z{x^z}+{y^z}/> The FOIL method makes it pretty clear why that doesn’t work. Radicals follow the same rules. If you have numbers under the radical that are added, then you can’t just find the root of each one. You have to combine them first. But you can take a number under a radical, break it into factors, and simplify it that way. And that comes in handy on the SAT. Keep in mind: Don’t treat exponents and radicals like other operations—they have their own set of rules to follow.

Radar Of Rfid Penetration Through Particulate On Other...

RFID Signal Penetration through Particulate SolidsABSTRACT:Radio frequency identification technology is an automatic identification wireless communication technology that integrates physical objects with the digital data. It is also becoming popular in supply chain management, which covers all processes in the flow of goods from manufacturing to customers, which includes manufacturing, distribution and transportation. This research paper focuses on the readability of RFID penetration in different particulate solid products with varying particle sizes. In addition simulation during transportation is performed on a conveyor belt at different speeds. Variable factors in this experiment were different types of particulate solids of different†¦show more content†¦The advantage of RFID is that it does not require direct contact or line-of-sight scanning. An RFID system consists of three components: an antenna, RFID reader and a RFID tag (Known as transponder). The antenna emits ra dio frequency waves to transmit a signal that activates tag and in return a response signal is received.()Problem statement:Packaging industries using RFID technology may face the problem of missing the item count of products during processing due to different product characteristics such as chemical composition, density etc. This research paper examines the use of RFID in packaging industry where the items are of different particulate solids of different packing densities. This is important in supply chain because transportation can change the product s physical characteristics. In this paper particle shape, size and packing density are investigated to determine its effects on RFID tag readability. Particle size is considered as an important characteristic since it effects the properties such as surface per unit volume and rate of settling of particles. The shape of the particle may have an effect on packing characteristics.Equipment and Methodology:Equipment:Equipment used in this research are the rectangular standardized cell of size 6in x 10in x 1.25 is fabricated using 0.25in thick Lexan material

Can Depression Be Genetically Inherited - 2368 Words

Goodwin 1 Holly R. Goodwin Mr. Garner English 12 12 March 2015 Can Depression Be Genetically Inherited Sited from http://www.medicalnewstoday.com/ â€Å"Depression, also major depression, clinical depression, or major depressive disorder, is a medical illness that causes a constant feeling of sadness and lack of interest. Depression affects how the person feels, behaves and thinks.† Now the world has yet to fully understand the different disorders and diseases that surround us today, but we learn more and more every day. One illness the world is well aware of, is Depression. Depression affects millions of people around the world, and can be very common. But one question remains...Can depression be genetically passed or inherited to us from†¦show more content†¦An example of this could come from PTSD or Post-Traumatic Stress Disorder. Sited from http://www.aventurastressrelief.com/ â€Å"This is a type of anxiety disorder that occurs when one has gone through an extreme emotional trauma that involved the threat of injury or death. PTSD most likely occurs when an indivi dual has gone through a traumatic event such as war, assault, and accident, or a disaster.† Although PTSD victims can experience depression, this disorder is not genetically inherited. It has been known that depressive illnesses can run in families, but until fairly recently, it was not fully known whether people inherit a susceptibility to these illnesses, or if something else such as the environment they’re exposed to, is the true cause. Those who research depression and what causes it, have been able to determine that to some extent that depressive illnesses, can be inherited. But that theory can be incorrect. What appear to be inherited, can really be a vulnerability to depression. Meaning that if we have close relatives who suffer from clinical depression, we may inherit a tendency to develop this illness. It does not mean we are all destined to become depressed. Goodwin 3 Genes that we inherit from our parents determine many things about us such as our gender and the color of our eyes or our hair. Our genes

Sentient free essay sample

Freedom comes from unexpected places. To wake up on a mattress as the morning sun leaks through hand-crocheted curtains, undoubtedly haggled from one of the local markets, and open a huge window to feel the pleasant, familiar smell of fresh bread from the bakery less than a football field away is freedom. To walk for hours and rest in fields of flowers is beauty, even when walking all the way home seems an unattainable task. Nature transcends calendars, alarm clocks, and computers and all necessities are within reach. The last time I visited my first hometown of Olsztyn, an enticing feeling of independence colored my young soul and illuminated my surroundings in a light that would bring me to what I am today. I found my most treasured aspects of life in a small Polish metropolis. At the beginning, Olsztyn was simply another place to which my mother brought my older sister, Julia, and me. We will write a custom essay sample on Sentient or any similar topic specifically for you Do Not WasteYour Time HIRE WRITER Only 13.90 / page I always felt like a stranger to Olsztyn, unlike my sister, who was raised by the city itself, from her early years of playground-play to the beginnings of her teenage angst. After all, she was born there. My love for Olsztyn, however, began to grow only after my admiration for Julia, who slowly began telling me more and more stories, until my capacity of nostalgic thought was equally overflowing with memories of that northeastern city in Poland. I began to believe it was a truly magical place. In June 2006, a week after my 8th grade graduation, I happily, yet anxiously, boarded an airplane, from Chicago to Warsaw. The unusual combination of my emotions that day allowed me to leave Chicago with ease and excitement. I knew the upcoming summer would be spent very well. It was my first solo vacation and I was ready. My mom’s friends scooped me up at the airport when I arrived and we drove together in their enormous white van for four hours along roads of poppies, grasses, and ro ad merchants until we finally reached our destination. Arriving at the curb of the street I once lived on, my body, exhausted from the trip, leaped into sheer contentment and at once, I felt I was at a comfortable place. Realizing that not much had changed since the last time I found myself there, I was reminded of the longevity of life; unlike the scenery of Chicago, which transformed nearly every month, there was a comforting aura of permanence. I spent the next several weeks exploring niches of Olsztyn I had only heard about when I was still too young to see them firsthand. Back in Chicago, I yearned for an atmosphere so gentle and subtle. The hills, endless foliage, and modestly beautiful architecture brought my spirits up every time I went outside. Though I forced myself to lock both front doors tight once night fell, because drunks often wandered the hallways of the brightly painted apartment building, I became braver than ever before, knowing the splendor outside my windows. At last, I felt independence poking out of me. Many teenagers recall summer vacations with words such as â€Å"awesome† and â€Å"amazing,† conversing endlessly on the subject of how much they saw and did. I, however, experienced a summer of tranquility, characterized by the bittersweet loneliness of growing up and real-life struggles that urged me to learn what it means to be satisfied with being alive. I brought back to Chicago the liveliness of heart and indestructibility of spirit through which I have found my own personal freedom.