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Application Word Problem : Distance, Time and Speed - Object thrown Upward

An object is projected vertically upward from the top of a building with an initial velocity of 144 ft/second. It's distance, s(t) in feet above the ground after t seconds is given by the equation: s(t)=-16^2+144t+100 - find the maximum height, s(t), of the object above the ground. - find the height of the building, th

Fields Extensions/Algebraic

Let F be an extension field of K. Clearly F is a vector space over K. Let u be an element of F. Show that the subspace spanned by {1, u, u^2, ...} is a field IF and ONLY IF (iff) u is algebraic over K. Let S be the subspace of F. Hint for the "-->" of proof. If S is a field and u is not equal to 0, then 1/u is in S. What d

Math Problem

Need help learn all the steps to solve these problems. See the attached file.

Surface Areas and Volumes of Cubes and Spheres

1. A sphere of radius 1 is totally submerged in a cylindrical tank of radius 4 as shown. The water level in the tank rises a distance of h. What is the value of h? 2. A cube has a surface area of 6x. What is the volume? 3. A sphere has a radius of r. If this radius is increased by b, then the sphere's surface area is increased

Q on Lebesgue measures

M*(A) = inf ( A subset of M) of the sum of |M_i|. If A is a subset of K_s, where K_s = { -s =< x_i =< s} Then show that M*(A) = S^n - M*(A^c) A^c is compliment of A ( I think compliment of A in K_s ? )

Help with solution

Solve each system by the addition method # 9 x - y = 12 2x + y = 3 # 10 x - 2y = 1 -- x + 5y = 4 # 11 2x - y = 5 3x + 2y = 3 # 12 3x + 5y = 11 x - 2y = 11 # 18 x + y= 13 22x + 36y = 356 Solve each system by the addition method. D

A stationary car A is passed by a car B moving

A stationary car A is passed by a car B moving with a constant velocity of 15m/s. Two seconds later, car A starts moving with a constant acceleration of 1m/s^2 in the same direction.(If car has constant velocity acceleration must be zero) a) Using the formula s=ut + 1/2at^2,where s is the distance from the starting point in m

Velocity, Time and Distance of a Rock After it has been Thrown

If a rock is thrown into the air on small planet with a velocity of 25 meters/second, its height in meters after t seconds is given by V = 25t ? 4.9t2. Find the velocity of the rock when t=3 A particle moves along a straight line and its position at time t is given by s(t) = 2t3 ? 27t2 + 108t where s is measured in meters and t

Series of Oblong Numbers

The following geometric arrays suggest a sequence of numbers: 2 6 12 20 a)Find the next three terms. b)Find the 100 term. c)Find the nth term.

Algebra Concepts Check

Week two DQ 1 1) How can you differentiate between a formula and an equation? For example. Week two DQ 2 2) What are some "Pitfalls" to watch out for in? A. Using the addition property in solving for X? B. Using the multiplication property in solving for? For example. Week two DQ 3 3) how do you remember


Multiply [(x^2+6x+5)/x]*[x^4/(3x+3)]. Reduce to lowest terms.

Whole number and polygon

Task1 some whole numbers can be written as the sum of consecutive whole numbers. for example: 5=2+3 12=3+4+5 some whole numbers can be written as the sum of consecutive whole numbers in more than one way. for example: 9=4+5=2+3+5 which whole numbers can be written as the sum of consecutive whole numbers? can they

Word Problem : Mass and Volume of Materials Needed for Access Road

An access road with total length of 60.450m, and a width of 5.235m, is to be built. The sub-base for the road is to have a thickness, when compacted,of 225mm. Assuming the material to be used is tested in laboratory was 2391 Kg/m3, determine the quantity of material, in tonnes.

Dodecahedron problem A_5 irreducibles

Consider the action of the group A_5 on the faces of a dodecahedron. Decompose the corresponding representation of A_5 into a sum of irreducibles and solve the problem by diagonilizing the interwining operator.


In a basketball game scrimmage, the Toros scored a total of 103 points and made three times as many field goals (2 points each) as free throws (1 point each). They also made eleven 3 point baskets. How many field goals and free throws were made?


A motor home a leaves a rally and travels west going 80mph, Motorhome B leaves 2 hours before and travels westbound going 60mph. When will the two motorhomes pass each other?


Find 2 consecutive numbers that the difference of their reciprocals is 1/7 the reciprocal of the smaller number.


Students are traveling in two cars to a football game 135 miles away. The first car leaves on time at an average speed of 45 mph. The second car starts 30 minutes later at an average speed of 55 mph. How long will it take for the second car to catch up to the first car? Will the second car catch the first car before it arriv