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Algebra
The electrical resistance R ohm for a pure metal wire is related to its temperature T (in c^0) by the formula R=R_o (1+aT) for positive constant a and R_o.
For what temperature is R=R_o.
Assuming that the resistance is 0 if T=-270 C^o, find a.
Silver wire has a resistance of 1.25 ohms at 0c^o. At what temperature is the resistance 2 ohms?
Algebra
The braking distance d of a car traveling v mi/hr is approximated by d=v+(v^2/20). Determine velocities that result in braking distance of less than 5ft.
Algebra
An Oil and Gas Company offers a position to Amirul with the starting salary of RM54,000 per year and annual increment of 15%.
(a) Find his salary of fifth years.
(b) Show that his total salary from the first year to the nth years is
RM360,000(1.15^n-1).
(c) Find the number of years that he has worked if his total salary is exceed RM3, 654, 670.
(a) Find his salary of fifth years.
(b) Show that his total salary from the first year to the nth years is
RM360,000(1.15^n-1).
(c) Find the number of years that he has worked if his total salary is exceed RM3, 654, 670.
Algebra
A pendulum swing through an arc of length 54cm. On each successive swing, the length
of the arc is 0.92 of the previous length.
(a) What is the length of the arc after 7 swings.
(b) At which swing is the length of the arc of the pendulum less than 17cm for the
first time.
(c) Find the total distance covered by the pendulum after 22 swings.
(d) Find the total distance covered by the pendulum before it comes to a stop.
of the arc is 0.92 of the previous length.
(a) What is the length of the arc after 7 swings.
(b) At which swing is the length of the arc of the pendulum less than 17cm for the
first time.
(c) Find the total distance covered by the pendulum after 22 swings.
(d) Find the total distance covered by the pendulum before it comes to a stop.
Algebra
An Oil and Gas Company offers a position to Amirul with the starting salary of RM54,000 per year and annual increment of 15%.
(a) Find his salary of fifth years.
(b) Show that his total salary from the first year to the nth years is
RM360,000 (1.15^n - 1)
(c) Find the number of years that he has worked if his total salary is exceed RM3, 654, 670.
(a) Find his salary of fifth years.
(b) Show that his total salary from the first year to the nth years is
RM360,000 (1.15^n - 1)
(c) Find the number of years that he has worked if his total salary is exceed RM3, 654, 670.
Algebra
Let us consider a quadratic polynomial f(x) such that equation f(x)=7x-14 has exactly one root, and equation f(x)=6-3x has exactly one root. Find the minimum value of a discriminant of f(x).
Algebra
Prove that the sum of the first n even numbers is an even number. Is the kind of logic used in proving this is inductive, deductive or both? Justify your answer.
Algebra
Suppose b > d +1/3 ,c+1<a – 4, and d + 5/8> a + 2. Order a, b, c, and d from greatest to least. Explain your reasoning.
Algebra
Find the sum of squares of all numbers x such that both expressions (x^2) + 6x and x + (1/x) are
integer numbers.
integer numbers.
Algebra
Let us consider a quadratic polynomial f(x) such that equation f(x) = 5x - 15 has exactly one root, and equation f(x) = 6x - 18 has exactly one root. Find the maximum value of a discriminant of f(x).
