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An ant stands at the edge of a potter's wheel with a diameter of 7 inches. The wheel spins at 145 revolutions per minute. Answer the following questions about the ant's velocity. Use pi to represent pi.
a) What is the ant's angular velocity? Include appropriate units in your answer.
b) What is the ant's linear velocity? Include appropriate units in your answer.
What is the probability that the mean annual snowfall during 40 randomly picked years will be between 105 inches and 112 inches?
State the domain of the following and provide a brief explanation fgor your answer: a) f(x)=sqrtx+4 b) g(x)= 2x+1/x-7 c) h(x)=3x^2+5x-3 d) l(x)=2x+3 e) m(x)=3/x^2+7
Find the velocity, speed and acceleration of the vector-valued function: Vector r = cost i + sint j - 16t^2 k at t=pi/4
Use logic to write the negation of the sentence: All the participants of this course are IT majors or are Math majors. (Use the basic logic laws.)
To estimate the proportion p of passengers who had purchased tickets for more than $400 over a year's time, an airline official obtained a random sample of 75. The number of those purchasing tickets for more than $400 was 45.
Suppose you have 50 American coins totaling exactly $1. This includes at least one quarter, and may contain nickels, dimes, and/or pennies.
Find (and describe) all the regular tessellations of the plane. Note that septagons, nonagons, and 11-gons are not provided. How do you know each one you find really fills in all the gaps around a vertex point? How do you know when you're done?
Solve the simultaneous linear equations by using the following methods. Algebraic Elimination Method
Half angle formula to find the exact value.
Problem solving on single mean
Analysis of variance tests
Modeled the word problem mathematically like system of equations and solve by the matrix method - Prepare an equation for the total amount of carbohydrates.
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