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Algebra

Word problem

The population of a colony of mosquitoes obeys the law of uninhibited growth. If there are 1000 mosquitoes initially and there are 1600 after 1 day, what is the size of the colony after 4 days? How long is there until there are 20,000 mosquitoes? What is the size of the colony after 4 days? Approximately ___mosquitoes. (Do no

Word problem

The population of a colony of mosquitoes obeys the law of uninhibited growth. If there are 1000 mosquitoes initially and there are 1500 after 1 day, what is the size of the colony after 2 days? How long is there until there are 30,000 mosquitoes? What is the size of the colony after 2 days? Approximately ___mosquitoes. (Do no

Problems involving graphing a line

Question #6 / 24 Graph the line. We use the table x y -3 4.00 -2 4.33 -1 4.67 0 5.00 1 5.33 2 5.67 3 6.00 4 6.33 5 6.67 6 7.00 The graph is given by Question #7 / 24 Graph the line. We use the table x y -3 -2.75 -2 -2.50 -1 -2.25 0 -2.00 1 -1.75 2 -1.50 3 -1.25 4 -1.00 5 -0.75 6 -0.50

Solve the system of equations by graphing

1. Determine whether the given ordered pair is a solution of the equation. (-5,1); 2p - 3q = -13 2. For the equation, find the intercepts, Then use the intercepts to graph the equation. 4x - 3y = 12 3. Find the slope of a treadmill. 0.4ft by 5ft 4. Find an equation of the line containing the given poi

Equation Model and Compount Interest Formula

1. Given the equation model F(x) = 62 + 35 log(x) - 4 where x represents a girl's age from 5 to 15 years. F(x) represents the percentage of adult height. Determine approximately what percentage of her adult height would the girl be at age 13? 2. Use the compound interest formula A = p(1+r/n)^(nt) to solv

Area of the Segment of a Circle

Find the area of the segment of a circle with radius of 6 cm bounded by a 132 degree arc. The area of the segment can be found by first finding the area of the sector of the circle and then finding the area of triangle APB and subtracting the two.

Two types of strictly increasing sequences of ordinals

I need help on the following problem (from Notes on Set Theory -Yiannis Moschovakis): [Let me know if you have a question on notation; I have a pdf file of this book] Give examples of strictly increasing sequences of ordinals such that ,

Volume of the Box - Types of Equations

.Solve the problem. A yardstick measures 0.5 by 2 by 36 inches. How many yardsticks will fit in a box 3 inches wide and 36 inches high, if the length of the box is 14 inches? 2. Gerard wants to replace his from door with a solid wood door. The solid wood door will be shaped like a rectangular solid and will measure 78 1/2 in

Length of a Rectangle

Suppose that the width of a rectangle is 5 inches shorter than the length and that the perimeter of the rectangle is 50 inches. The formula for the perimeter of a rectangle is P=2L+2W. a) Set up an equation for the perimeter involving only L, the length of the rectangle. Answer: b) Solve this equation algebraically to fin

Algebra

Lets say Costco price club claims that they sell a 6 pack of Coors Beer at the wholesale price plus an additional 5% off. But with Costco, you also have to pay a yearly membership fee of $60 just to have the privilege of shopping there. The wholesale price of Coors at Costco is $3.50 a six pack. The 5% discount is taken at th

Type an ordered pair, Use integers or fractions

1)Trains a and B are traveling in the same direction on parallel tracks. Train A is traveling @ 100 miles per hour and train B is traveling @ 120 miles per hour. Train A passes a station @ 1:20pm. If train B passes the same station @ 1:32pm, at what time will train B catch up to train A? when will train B catch up with train A?

Vectors Set Equations

Suppose we want to find out whether the set of vectors { v1, v2, v3 } is linearly independent or dependent. 1. Write the vector equation to be solved. 2. Write the vector equation as a linear system. 3. Write the augmented matrix of the linear system.

find the vertex

1. Without graphing, find the vertex. Show your work F(x) = 5(x+1/4)^2+19 2. Without graphing, find the line of symmetry. Show your work F(x) = 7(x - 9)^2 - 2 3. Without graphing, find the minimum value. Show your work F (x) = (x + 2)^2 - 8 4. Find the x- and y-intercepts. If no x-intercepts exist, state so. Show yo

Calculate Miles Per Gallon

You can buy one of the following cars. You want to base your decision on which car gets the best gas mileage. Calculate the mile per gallon rate for each of the following cars and tell which one gets the best gas mileage. Show all work. Car A can travel 290 miles on 12 gallons of gas Car B can travel 420 m

Library Research

Library Research Assignment Pick a country of your choice that is experiencing population growth. Using the Library, web resources, and/or other materials to find the most recent population count of the country you have chosen and the population growth rate of that country. Use that growth rate to approximate the population i

slope-intercept form.

1.Find an equation of the line containing the given pair of points. Write your final answer in slope-intercept form.Please explain your work (3, -4) and (6, -11) 2.Graph the line with slope -4/3 that passes through the point (1, 4)Please explain your work

slope-intercept form equation

1.Find an equation of the line having the specified slope and containing the indicated point. Write your answer in slope-intercept form. Please show your work. M=1.5; (7,-2) 2. Solve this problem. A gas station sells 4820 gallons of regular unleaded gasoline on a day when they charge $1.35 per gallon, and they sell 3930

Functions and Their Graphs

Find the most recent population count of the country South America and the population growth rate of that country. Use that growth rate to approximate the population in the year 2015. Write a paragraph about how you might use this information in a role as a politician, government administrator or business owner/operator. What w

Population

Pick a country of your choice that is experiencing population growth. Using the Library, web resources, and/or other materials to find the most recent population count of the country you have chosen and the population growth rate of that country. Use that growth rate to approximate the population in the year 2015. Solve the prob

distributive property.

1. Could you share a few specific mathematical examples to demonstrate For instance, if I said an important concept of distributive property for the following example is? Example 4(x+2) = 4x + 8 2. When we square a product, we square each factor in the product. For example (4b) 2= 16b2. Explain why we cannot squar

Monotone Sequence: Cluster Points Example Question

I need to prove the following; Prove that a monotone sequence can have at most one cluster point. Definition: A real number if x is called a cluster point of the sequence provided some subsequence of the sequence converges to x. Thanks!

Newton's Law of Cooling explained

Background: In the beginning of the year, we discussed qualitative graphs and independent/dependent variables. One of the situations we graphed was the temperature of some food taken out of the oven while we waited for it to cool enough to put into the refrigerator. This situation can actually be modeled with an exponential e

total number of games

Cindy organized a checker tournament for her class. Each player was to play one game against every other player. Eight students signed up to play. How many games did Cindy need to schedule? Show the strategy you would use and your answer.

Quadratic Equations

When a ball is thrown up into the air, it makes the shape of a parabola. The equation S= -10t^2 + v*t + k gives the height of the ball at any time, t in seconds, where "v" is the initial velocity (speed) in meters/sec and "k" is the initial height in meters (as if you were on top of a tower or building). Make up a scenario w

Calculating Perimeter of the Barn Lot

Mr. Joe plans to fence in a rectangular barn lot for his cows. He plans to make a barbed-wire fence that has 3 strands of wire. He has 3 partly-used rolls of barbed wire and plans to use all of the wire for his fence. He wants to fence in the largest lot possible. One roll of wire has 112'. The second roll has 64', and the third

Five Step Problem-Solving Processes

1. Solve using the five-step problem-solving process. Show all steps necessary to arrive at your solution. The supplement of an angle measures 40° more than twice its complement. Find the measure of the angle. 2. Solve using the five-step problem-solving process. Show all steps necessary to arrive at your solution. Yo

Solving Example Algebra and Word Problems

1. Solve the system of equations & find the ordered pairs x + 9y = 4 (1) x = 5-9y (2) 2. Solve by the substitution method 4x+9y=60 x=69-9y 3. I am having trouble with two word problems: a) Train A and B are traveling in the same direction on parallel tracks. Train A is traveling at 40mph and t

Force and Motion Vector Problems

1. The resultant of two forces acting on a body has a magnitude of 80 pounds. The angles between the resultant and the forces are 20° and 52°. Find the magnitude of the larger force. 34.7 pounds 28.8 pounds 66.3 pounds 184.3 pounds 2. Without the wind, a plane would fly due east at a rate of 150 mp

MA105 Homework Assistance (Please see the attached file).

Determine whether the equation is an identity, a conditional equation, or an inconsistent equation... Solve the equation... Solve the equation... Plot the given point in a rectangular coordinate system... Use the graph to determine the x- and y-intercepts... Use the five-step strategy for solving word problems to find the n