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This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 3751. |
Use the Chain Rule to find ∂z/∂s and ∂z/∂t. z = (x − y)5, x = s2t, y = st2 |
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Answer» Use the Chain Rule to find ∂z/∂s and ∂z/∂t. z = (x − y)5, x = s2t, y = st2 Solution: |
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| 3752. |
Line AB contains points A(0,1) and B(1,5). The slope of line AB is ... ? |
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Answer» Line AB contains points A(0,1) and B(1,5). The slope of line AB is ... ? Solution: |
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| 3753. |
Which factors are not included in the prime factorization of a composite number? |
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Answer» Which factors are not included in the prime factorization of a composite number? Solution: |
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| 3754. |
Write the given expression in terms of x and y only. cos(sin-1(x) - tan-1(y)). |
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Answer» Write the given expression in terms of x and y only. cos(sin-1(x) - tan-1(y)). Solution: |
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| 3755. |
Find an equation of a parabola with a vertex at the origin and directrix y = -2.5 |
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Answer» Find an equation of a parabola with a vertex at the origin and directrix y = -2.5 Solution: |
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| 3756. |
If Bill and Hanes have 60 dollars between them, and Hanes has half as much as Bill, how much does Hanes have? |
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Answer» If Bill and Hanes have 60 dollars between them, and Hanes has half as much as Bill, how much does Hanes have? Solution: |
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| 3757. |
The decimal expansion of an irrational number maybe? |
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Answer» The decimal expansion of an irrational number may be non-terminating and non-repeating Irrational numbers are those real numbers that cannot be represented in the form of a ratio. |
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| 3758. |
In the regular nonagon shown, what is the measure of angle x? |
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Answer» In the regular nonagon shown, what is the measure of angle x?
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| 3759. |
What is 48 as aFraction? |
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Answer» 48 as a fraction is 288/6. Fractions, when simplified and reduced, can give whole numbers as well as fractions as the answer. |
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| 3760. |
If FG = 2 units, FI = 7 units, and HI = 1 unit, what is GH? |
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Answer» If FG = 2 units, FI = 7 units, and HI = 1 unit, what is GH?
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| 3761. |
Factors completely x2 + 16? (x + 4)(x + 4); (x + 4)(x - 4), prime, (x - 4)(x - 4) |
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Answer» Factors completely x2 + 16?. (x + 4)(x + 4); (x + 4)(x - 4), prime, (x - 4)(x - 4) Solution: |
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| 3762. |
Which equation defines the graph of y = x3 after it is shifted vertically 5 units down and horizontally left 4 units y = (x - 4)3 - 5 y = (x + 5)3 - 4 y = (x + 5)3 + 4 y = (x + 4)3 - 5 |
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Answer» Which equation defines the graph of y = x3 after it is shifted vertically 5 units down and horizontally left 4 units Solution: |
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| 3763. |
What is the next value 4, d, 7, g, 10, j, 13,…? |
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Answer» What is the next value 4, d, 7, g, 10, j, 13,…? Solution: |
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| 3764. |
What is the volume of a right circular cylinder with a radius of 3 in, and a height of 10 in? |
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Answer» What is the volume of a right circular cylinder with a radius of 3 in, and a height of 10 in? Solution: |
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| 3765. |
The Graph of The Following System of Equations is −2x + y = 3 and 4x + 2y = 2. Solve this using the graph. |
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Answer» The solution for the system of linear equations -2x + y = 3 and 4x +2y = 2is (x,y) = (-0.5, 2)
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| 3766. |
Find the number of ways in which 5 boys and 5 girls may be seated in a row so that no two girls and no two boys are together. |
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Answer» The number of ways in which 5 boys and 5 girls may be seated in a row so that no two girls and no two boys are together is 10! - 5!× 6!. Permutations and Combinations are very important concepts in mathematics that deals with arrangements and selections of various kinds of objects. This field of mathematics has many applications in other fields as well, which include science and engineering, and also has daily life applications. Let's solve a problem to make the concept more clear. |
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| 3767. |
What is 22/7as a Mixed Number? |
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Answer» 22/7 in a mixed fraction is 31/7 22/7 is an improper fraction. Let us represent it asa whole number as well as a fractional part called the mixed number. |
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| 3768. |
Point Z is the incenter of triangle RST. What is the value of x? x = 2,x = 3,x = 5,x = 8 |
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Answer» Point Z is the incenter of triangle RST. What is the value of x?
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| 3769. |
One factor of f(x) = 5x3 + 5x2 - 170x + 280 is (x + 7). What are all the roots of the function? Use the remainder theorem. |
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Answer» One factor of f(x) = 5x3 + 5x2 - 170x + 280 is (x + 7). What are all the roots of the function? Use the remainder theorem. Solution: |
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| 3770. |
Given a polynomial f(x), if (x − 2) is a factor, what else must be true? |
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Answer» If(x − 2) is a factor of f(x), then f(2) = 0must also be true. The polynomials are the functions that consist of one or more variables. There are various types of polynomials like quadratic, cubic, etc. |
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| 3771. |
What is 16/5as a Mixed Number? |
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Answer» 16/5as a mixed number is 3 1/5 16/5 being an improper fraction, we can further write itas a mixed number consisting of a whole and a fractional part. |
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| 3772. |
What is 13/8 as a Mixed Number? |
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Answer» 13/8in a mixed fraction is 1 5/8. We can see 13/8is an improper fraction. This can be represented as a mixed number that will have a whole number as well as a fractional part. |
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| 3773. |
What is 17/8as a Mixed Number? |
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Answer» 17/8in a mixed fraction is 2 1/8. We can see 17/8is an improper fraction. This can be represented as a mixed number that will have a whole number as well as a fractional part. |
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| 3774. |
What is 23/7as a Mixed Number? |
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Answer» 23/7 in a mixed fraction is 32/7 23/7 is an improper fraction. Let us represent it asa whole number as well as a fractional part called the mixed number. |
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| 3775. |
What is 19/4as a Mixed Number? |
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Answer» 19/4as a mixed number can be written as 4 3/4 We can see that 19/4is an improper fraction which can be written as a mixed number consisting of a whole and fractional part. |
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| 3776. |
What is 19/5as a Mixed Number? |
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Answer» 19/5as a mixed number can be written as 34/5 We can see that 19/5is an improper fraction which can be written as a mixed number consisting of a whole and fractional part. |
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| 3777. |
What is 16/3as a Mixed Number? |
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Answer» 16/3in a mixed fraction is 51/3. We can see 16/3is an improper fraction. This can be represented as a mixed number that will have a whole number as well as a fractional part. |
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| 3778. |
What is the integration of |x|? |
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Answer» The integral of |x| is 1/2 x|x|. Integration is one of the most important concepts which has diverse applications in many fields of engineering and science. Let's solve one such problem. |
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| 3779. |
Write the equation of a circle with a center at (1, 4) where a point on the circle is (4, 8). |
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Answer» Write the equation of a circle with a center at (1, 4) where a point on the circle is (4, 8). Solution: |
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| 3780. |
The numbers 13 and 31 are prime numbers. Both these numbers have the same digits 1 and 3. Find such pairs of prime numbers up to 100. |
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Answer» The pairs of such numbers are: Prime numbers are the numbers that have only two factors, that are, 1 and the number itself. |
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| 3781. |
Find the area under the standard normal distribution curve between z = 0 and z = 2.16. |
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Answer» Find the area under the standard normal distribution curve between z = 0 and z = 2.16. Solution: |
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| 3782. |
Simplify the square root of 5 multiplied by the cube root of 5. 5 to the power of 5 over 6 5 to the power of 1 over 6 5 to the power of 2 over 3 5 to the power of 7 over 6 |
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Answer» Simplify the square root of 5 multiplied by the cube root of 5. Solution: |
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| 3783. |
What is 18/5as a Mixed Number? |
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Answer» 18/5as a mixed number is \(3\dfrac{3}{5}\) 18/5 is an improper fraction, we can further write itas a mixed number consisting of a whole and a fractional part. |
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| 3784. |
Determine algebraically whether the function is even, odd, or neither even nor odd. f(x) = 3x2 - 1 |
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Answer» Determine algebraically whether the function is even, odd, or neither even nor odd. f(x) = 3x2- 1 Solution: |
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| 3785. |
What is the derivative of sec x? |
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Answer» The derivative of sec x is (sec x tan x). Thederivativeof any function y = f(x) of a variable x is the rate of change of y with respect to change in x. |
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| 3786. |
Find the distance between the points with polar coordinates (4, π/3) and (8, 2π/3). |
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Answer» Find the distance between the points with polar coordinates (4, π/3) and (8, 2π/3). Solution: |
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| 3787. |
Find the zeroes of the polynomial x2+ x - p(p + 1) |
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Answer» The zeroes of a polynomial are: p- 1and p. Thezeroes of apolynomialare the valuesof xthat makethe entire value of the polynomial equalto 0. |
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| 3788. |
Find the slope of the line containing the two points (1, -1) and (-5, -3). |
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Answer» Find the slope of the line containing the two points (1, -1) and (-5, -3) Solution: |
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| 3789. |
What is the value of x in the equation below 1 + 2ex + 1 = 9 |
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Answer» What is the value of x in the equation below 1 + 2ex + 1 = 9 Solution: |
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| 3790. |
What is the equation of the line that passes through (1, 5) and (-2, 14) in slope intercept form? |
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Answer» What is the equation of the line that passes through (1, 5) and (-2, 14) in slope intercept form? Solution: |
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| 3791. |
Eliminate the parameter. x = square root of t, y = 4t + 1 |
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Answer» Eliminate the parameter. x = square root of t, y = 4t + 1 Solution: |
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| 3792. |
A circular fountain 10 feet in diameter has a circular walk 3 feet wide paved around it. What is the area of the walk? |
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Answer» A circular fountain 10 feet in diameter has a circular walk 3 feet wide paved around it. What is the area of the walk? Solution: |
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| 3793. |
Segments RT and SU are diameters of circle O. What is m of SRT? |
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Answer» Segments RT and SU are diameters of circle O. What is m of SRT?
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| 3794. |
A cylinder has a volume of 175 cubic units and a height of 7 units. The diameter of the cylinder is? 5 units, 10 units, 12.5 units |
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Answer» A cylinder has a volume of 175 cubic units and a height of 7 units. The diameter of the cylinder is? 5 units, 10 units, 12.5 units Solution: |
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| 3795. |
How to multiply a mixed number by a whole number? |
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Answer» Mixed numbers are multiplied by a whole number by converting the mixed number to an improper fraction and multiplying it to the whole number. A fraction which is a combination of a whole number and a proper fraction is known as a mixed fraction. |
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| 3796. |
Prove that if n is a perfect square, then n+2 is not a perfect square. |
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Answer» Prove that if n is a perfect square, then n+2 is not a perfect square. Solution: |
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| 3797. |
What is the slope of the line that contains the points (1, -1) and (-2, 8)? |
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Answer» What is the slope of the line that contains the points (1, -1) and (-2, 8)? Solution: |
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| 3798. |
What is the solution to the system of equations y = -3x - 2 and 5x + 2y = 15? (-40, 19),(-19, 55),(19, -40),(55, -19) |
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Answer» What is the solution to the system of equations y = -3x - 2 and 5x + 2y = 15? Solution: |
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| 3799. |
Is the function sec t positive or negative in quadrant ii? |
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Answer» The function sec t is negative in quadrant ii. We will use the concept of trigonometry to find whetherfunction sec t is positive or negative in quadrant ii. |
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| 3800. |
(4) Infinite |
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Answer» No. of zeros of the zero polynomial is infinite Zeros of the polynomial help in calculating the x-intercepts for the polynomial graph. |
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