Mathematics

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Master Your Mathematics Skills

Test your mathematics knowledge with our engaging quiz designed for enthusiasts and learners alike. Ranging from basic geometric sequences to solving equations, this quiz covers a variety of mathematical concepts.

Join now and challenge yourself with questions about:

Geometric sequences
Graph transformations
Mathematical modeling
Triangle area calculations

10 Questions2 MinutesCreated by CalculatingStar57

Three people who work full-time are to work together on a project, but their total time on the project is to be equivalent to that of only one person working full-time. If one of the people is budgeted for 1/2 of his time to the project and a second person for 1/3 of her time, what part of the third worker's time should be budgeted to this project?

1/3

1/4

1/6

1/8

The first term of a geometric sequence is 2000 and the second term is 1000. Starting from the first term, how many consecutive terms in this sequence must be taken in order to obtain a sum equal to 3875?

The 4th and 7th terms of a geometric sequence are 1/8 and 1/64 respectively. Find the 9th term.

1/256

1/216

1/225

1/169

If the graph of y = (x - 2)2 - 3 is translated 5 units up and 2 units to the right, then the equation of the graph obtained is given by

Y = x^2 + 2

Y = (x - 2)^2 + 5

Y = (x + 2)^2 + 2

Y = (x - 4)^2 + 2

Let f(x) = x2 + 2x + 4. Which of the following statements is NOT true?

F(x) has a maximum value

The graph of f is not a line

The graph of f has no x-intercepts.

The graph of f has a y-intercept.

$1200 is placed in an account at 4% compounded annually for 2 years. It is then withdrawn at the end of the two years and placed in another bank at the rate of 5% compounded annually for 4 years. What is the balance in the second accound after the 4 years.

$1297.92

$1577.63

$1587.73

$1299.94

The right triangle ABC shown below is inscribed inside a parabola. Point B is also the maximum point of the parabola (vertex) and point C is the x intercept of the parabola. If the equation of the parabola is given by y = -x2 + 4x + C, find C so that the area of the triangle ABC is equal to 32 square units.

An airplane flies against the wind from A to B in 8 hours. The same airplane returns from B to A, in the same direction as the wind, in 7 hours. Find the ratio of the speed of the airplane (in still air) to the speed of the wind.

Find the length of side AB in the figure below. Round your answer to 3 significant digits.

7.17

7.49

6.17

6.49

Use the method of sustitution to solve the equation sin 2 x - 4 sin x - 5 = 0 for x in the interval [ 0 , 2 Pi ). Give x in radians.

4 pi / 3

Pi / 2

3 pi /2

Pi / 3

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Mathematics

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