CSET 2 Guide new

Order of Geologic sequencing

1 Geologic Sequencing: The order of geologic events. ... 2 Superposition youngest to oldest. ... 3 Correlating Outcrops Shale with trilobites is oldest in "A" ... 4 Shale with trilobites is oldest in "A" ... 5 FOLDS and TILTS: ALWAYS older than the rocks they are found in! 6 Folded/Tilted Layers. 7 Marker Beds.

If a coin is flipped three times in a row, what is the probability of getting tails on all three flips?

1/8

if the number 360 is written as a product of its prime factors a^3b^2c, what is the numerical value of a + b +c?

10

Huntsville's population grows from 25,000 to 28,000. What is the percent increase in Huntsville's population?

12% how to find = Percent change = [(New - Old ) / |Old|] x 100% = Percent change = [(28000 - 25000) / |25000|] x 100 = [(3000) / 25000] x 100 = 12 % (increase)

How many equal angles do isosceles triangles have?

2 equal angles. The Total of all 3 is 180.

The recipe calls for 2 1/4 cups of flour, per 1/2 lb of butter. If Pat uses 3 cups of flour, how much butter should be used?

2/3

Which of the following number sequences could be produced by the expression 2x+x2?

3, 8, 15, 24

What is the correct expression of 34,000 x 96,000 using scientific notation?

3.264 x 109

Volume of a sphere

4/3πr³

Steve wants to cover a high school football field with sod. The field is 360 feet long and 160 feet wide. Sod can be purchased in squares in 1 foot increments from 1 foot wide up to 7 feet wide. What is the largest size squares Steve can purchase with which he can cover the field completely without any gaps or overhang?

5

The range of hourly wages for 15 employees starts at 7.50 and ends at 21.40. If only one worker receives the median wage of 8.90, how many workers receive a higher wage?

7 because the median is the middle, just count from there.

Unconformities

A break in the geologic record created when rock layers are eroded or when sediment is not deposited for a long period of time.

Area of a trapezoid

A=1/2(b1+b2)h

A rectangle has length 10 feet and width 6 feet. It is enlarged to be a similar rectangle with length 18 feet. What is the new width?

Cross multiply 10x / 6 x 18, which is 108/10x x=10.8

Environmental pressure examples

Examples of Environmental Pressures facing communities: a) stormwater discharge, b) vegetation clearing and erosion and c) sediment discharge Environmental Pressures include: ○ Landuse changes resulting from alterations of the natural landscape, typically associated with population growth.

Maria is conducting a survey to determine what percentage of her county's population is made up of tax preparers. She goes to the local mall on a typical Tuesday morning in early April and surveys the first ten people she encounters, none of whom are tax preparers. From the data, she determines that 0% of her county's population works as tax preparers. She realizes this must be incorrect, but isn't sure why. How might you best describe the problem with Maria's survey?

Her sample was too limited and was not a random and representative population.

A yellow rectangle and a blue rectangle having identical dimensions intersect to form a green square as pictured below.

If you know the dimensions of the blue region, you can find the areas of all three regions.

Four congruent triangles, each having legs of length a and b and hypotenuse of length c, are arranged to produce square EFGH. Using your knowledge of algebra and geometry: *write an expression for the area of square EFGH in terms of the length of its sides; *write an expression for the area of square EFGH in terms of the area of its component parts (i.e., four triangles and a square); and *set these two expressions equal and show that this leads to a proof of the Pythagorean theorem.

In order for the 4 triangles to form a square, the triangles must be isosceles right triangles. That is to say a=b and a hypotenuse of one of the right triangles forms one of the sides of the square. The area of the square is then c^2. But the area of one of the triangles is ab/2, hence the square, being composed of 4 triangles has an area of 2ab. Since we have established that a=b, 2ab, can be written 2a^2, which is to say a^2 + a^2. Furthermore, again since a=b, a^2 + a^2 = a^2 + b^2. Since both a^2 + b^2 and c^2 are expressions for the same area, namely square EFGH, we can equate the two expressions: c^2=a^2 + b^2 Which is the Pythagorean Theorem. Unfortunately, this logic does not strictly prove Pythagora's conjecture. That is because we created a situation at the beginning that required the triangles to be isosceles right triangles. Hence, this proof is only strictly valid for isosceles right triangles and not right triangles in general.

Newton's Second Law

Law of Acceleration: Force = mass x acceleration

Newton's First Law

Law of Inertia: an object at rest will stay at rest, an object that is moving will stay moving unless disturbed by an unbalanced force.

Newton's Third Law

Law of Reciprocal actions; for every action there is an equal and opposite reaction

Rule of Superposition

Layers are deposited on top of each other in an ordered sequence of younger layers on top of older layers, the newer rock layers will be on top of older ones.

If two dice are rolled together, what is the probability that the values shown will add up to a total of 6?

Let's answer this in the simplest way. P(event) = (# desired outcomes)/(#possible outcomes). We know there are 36 possible ways two die can provide all their possible "sums." Like a 5 on 1st die and a 2 on the second die, the a 2 on the 1st die and a 5 on the 2nd and so forth including such combinations as a 2 on the 1st and a 3 on the second. So, there are 36 (6x6) ways this can happen. However . . .There are only actually 6 ways to get the sum of 7. They are (1,6), (6,1), (5,2), (2,5), (3,4), and (4,3).By the most basic definition of probability, the probability of a sum of 7 is 6/36 or 1/6. Answer for 6 is 5/36

Using the periodic table, how would you find elements with chemical properties similar to Helium?

Look in the column below it.

If given two sides of a triangle = use

Pythagorean theorem = a^2 + b^2 = c^2

Which of these is not a division within the standard system of scientific taxonomy?

Rank

The filament in a light bulb is made of a material which provides more _______ than the copper wires through which electricity usually flows?

Resistance

Super-Yummy Soup, Inc. wants to paint their entire soup can red, including the top and bottom. If the diameter of the lid (x) is 5 cm, and the height of the can (y) is 9 cm, what is the approximate total surface area that will need to be painted?

Surface area of the 2 covers = 2 π r^2 Surface area of the 2 covers = 2 π (2.5 cm)^2 Surface area of the 2 covers = 39.27 cm^2 Surface area of the side = 2 π r h Surface area of the side = 2 π (2.5 cm) (9 cm) Surface area of the side = 141.37 cm^2 Total surface area = 39.27 cm^2 + 141.37 cm^2 Total surface area = 180.64 cm^2

Which structure is responsible for regulating basic functions such as respiration and heartbeat?

The brain stem controls the flow of messages between the brain and the rest of the body, and it also controls basic body functions such as breathing, swallowing, heart rate, blood pressure, consciousness, and whether one is awake or sleepy. The brain stem consists of the midbrain, pons, and medulla oblongata.

Which of the following has the shortest wavelength?

The electromagnetic spectrum includes, from longest wavelength to shortest: radio waves, microwaves, infrared, optical, ultraviolet, X-rays, and gamma-rays.

Which of the following has the shortest wavelength?

UV radiation

An artist is planning to construct a rectangular wall design from square tiles. The wall design is to be 72" long and 42" wide. All the square tiles must be the same size, and the length of the sides of the tiles must be a whole number.

Using your knowledge of number theory and geometry: • Find three different sizes of square tiles that could be used to completely fill the rectangular space, with no tiles overhanging the border; and • Determine the smallest number of square tiles that could be used to fill the rectangular area. The sides are 72 x 42 and tiles must be square, so you must find 3 numbers that are divisors of both 72 and 42. First, I know 2 will work because both are even #'s then I know 3 will work because the sum of both numerals in the number equal a multiple of 3 ( 7 + 2 = 9 and 4 + 2 = 6 ; 9 and 6 are both multiples of 3 ). Also I know 6 will work. So tiles can be 2" x 2", 3"x 3" and 6" x 6" Using 6 x 6 tiles, you would have sides of 12 tiles by 7 tiles. This would require 84 tiles to complete. Since 6" x 6" is the largest tile, 84 tiles would be the least amount of tiles needed.

Volume of a cylinder

V=πr²h

How many different outfits can be put together using 3 different pairs of pants, 2 shirts and 2 pairs of shoes?

Well you have 2 variables that you need to fill X1 and X2. For X1 you can choose from 2 different shirts and for X2 you can choose from 3 different pair of pants. So the result is 2*3=6. If the order of variables was important, like if you could wear pants on your torso and shirts on your legs then it would be 2*3*2=12.

barometer measures

air pressure

Metophase

all of the chromosomes are lined up in the middle of the spindle fibers.

Angular Unconformities

are those where an older package of sediments has been tilted, truncated by erosion, and than a younger package of sediments was deposited on this erosion surface. The sequence of events is summarized in the pictures at left. First: subsidence and sediment deposition occurs; Second: rocks are uplifted and tilted (deformation); Third: erosion removes the uplifted mountain range; Fourth: subsidence occurs, the sea covers the land surface, and new sediments deposition occurs on top the previous land surface. Then the cycle may repeat.

Mitosis

cell division in which the nucleus divides into nuclei containing the same number of chromosomes

3 types of unconformities

disconformity, angular unconformity, nonconformity

Chromatids are

duplicate halves of a chromosome

Prophase

first and longest phase of mitosis, during which the chromosomes become visible and the centrioles separate and take up positions on the opposite sides of the nucleus

The triangle inscribed within square ABCD has, as its base, side AD, and has a height of 6 cm. If the area of the triangle is 21 cm2, what is the area of the shaded region?

if the triangle base is the side s: 6s/2 = 21 s = 7 area of square = 49 49-21=28

Which of the following factors least affects a compound's tendency to change state?

mass

Law of Cross-Cutting Relationships

principle that a fault or intrusion is younger then any other body of rock it cuts through.

Telophase

the final phase of cell division, between anaphase and interphase, in which the chromatids or chromosomes move to opposite ends of the cell and two nuclei are formed.

theory of evolution by natural selection

the process by which organisms change over time as a result of changes in heritable physical or behavioral traits.

As a river flows down a mountain to a plain, sediments are deposited in the following order: gravel first, then sand, then silt, and finally clay particles. Which of the following characteristics of the river is primarily responsible for this pattern of sediment deposit?

the velocity

Structure of earth

thin oceanic and continental crust covering a liquid mantle, overlies a liquid outer core and a solid inner core.

structures of earth

thin oceanic crust and continental crust

point slope form

y-y1=m(x-x1)

slope-intercept form

y=mx+b

Volume of a cone

πr^2h/3