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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.
| 4851. |
Write the following inequality in slope-intercept form. -12x - 2y ≥ -42 |
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Answer» Write the following inequality in slope-intercept form. -12x - 2y ≥ -42 Solution: |
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| 4852. |
Which equation could be used to find m∠E in △EFG? |
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Answer» Which equation could be used to find m∠E in △EFG?
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| 4853. |
What is the completely factored form of f(x) = x3- 2x2- 5x + 6? |
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Answer» What is the completely factored form of f(x) = x3- 2x2- 5x + 6? Solution: |
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| 4854. |
What is the absolute value of 0/2? |
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Answer» The absolute value of 0/2 is 0. Absolute valueis the magnitude of a quantity, irrespective of sign. |
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| 4855. |
How do you convert 100 cm to meters? |
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Answer» To convert 100 cm to meters, we multiply 100 with 0.01, which gives us a result of 1 m. There are 100 centimeters in 1 meter. |
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| 4856. |
Find the length of the curve. r(t) = cos(2t) i + sin(2t) j + 2ln(cos(t)) k, 0 ≤ t ≤ π/4. |
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Answer» Find the length of the curve. r(t) = cos(2t) i + sin(2t) j + 2ln(cos(t)) k, 0 ≤ t ≤ π/4. Solution: |
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| 4857. |
If f(x) = 6x - 4, what is f(x) when x = 8? 2,16,44,52 |
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Answer» If f(x) = 6x - 4, what is f(x) when x = 8? Solution: |
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| 4858. |
How do you find the points where the tangent line is horizontal given y= 16x-1- x2 |
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Answer» How do you find the points where the tangent line is horizontal given y= 16x-1- x2 Solution: |
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| 4859. |
Find the possible value or values of n in the quadratic equation 2n2 - 7n + 6 = 0. |
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Answer» Find the possible value or values of n in the quadratic equation 2n2- 7n + 6 = 0. Solution: |
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| 4860. |
The side length, s, of a cube is 3x + 2y. If V = s3, what is the volume of the cube? |
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Answer» The side length, s, of a cube is 3x + 2y. If V = s3, what is the volume of the cube? Solution: |
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| 4861. |
Find the standard form of the equation of the parabola with the given characteristics. Vertex: at origin; Focus (0, -5). |
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Answer» Find the standard form of the equation of the parabola with the given characteristics. Vertex: at origin; Focus (0,-5). Solution: |
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| 4862. |
A fair die is rolled 8 times. What is the probability that the die comes up 6 exactly twice? |
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Answer» A fair die is rolled 8 times. What is the probability that the die comes up 6 exactly twice? Solution: |
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| 4863. |
Find the value of x in the equation √ x + 5 = √ x + 45. |
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Answer» Find the value of x in the equation √ x + 5 = √ x + 45. Solution: |
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| 4864. |
How many 1-cm cubes would it take to construct a cube that is 3 cm on edge? |
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Answer» How many 1-cm cubes would it take to construct a cube that is 3 cm on edge? Solution: |
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| 4865. |
What is 10% of 60? |
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Answer» 10% of 60 is 6. A percentis a ratio of a number expressed out of100. |
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| 4866. |
If (x + yi) + (2(x + yi) + 3i) = 9, what is x + yi? |
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Answer» If (x + yi) + (2(x + yi) + 3i) = 9, what is x + yi? Solution: |
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| 4867. |
What is the remainder when x3 - x + 1 is divided by 2x - 1? |
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Answer» What is the remainder when x3- x + 1 is divided by 2x - 1? Solution: |
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| 4868. |
Solve the system of equations using substitution. y = 2x - 10 and y = 4x - 8 |
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Answer» Solve the system of equations using substitution. y = 2x - 10 and y = 4x - 8 Solution: |
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| 4869. |
Simplify the quantity {(x + 6)/12}/{(x - 8)/10}. |
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Answer» Simplify the quantity {(x + 6)/12}/{(x - 8)/10}. Solution: |
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| 4870. |
Solve: 724 × (-56) + (-724) × 44 using properties. |
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Answer» 724 × (-56) + (-724) × 44 is equal to -72400. We will use the associative property and the distributive property to find the product. |
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| 4871. |
What is 1/2 as a decimal? |
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Answer» 1/2 as a decimal is 0.5 A decimal number can be defined as a number whose whole number part and the fractional part is separated by a decimal point. |
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| 4872. |
If f(1) = 0, what are all the roots of the function f(x) = x3 + 3x2 - x - 3. Use the remainder theorem. x = -1, x = 1, or x = 3 x = -3, x = -1, or x = 1 x = -3 or x = 1 x = -1 or x = 3 |
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Answer» If f(1) = 0, what are all the roots of the function f(x) = x3 + 3x2 - x - 3. Use the remainder theorem. Solution: |
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| 4873. |
What is 30% of 90? |
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Answer» 30% of 90 is 27. A percentis a ratio of a number expressed out of100. |
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| 4874. |
What is the remainder when (4x3+ 2x2- 18x + 38) ÷ (x - 3)? |
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Answer» What is the remainder when (4x3+ 2x2- 18x + 38) ÷ (x - 3)? Solution: |
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| 4875. |
Find the exact value of arctan (sin (π/2)). Explain your reasoning. |
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Answer» Find the exact value of arctan (sin (π/2)). Explain your reasoning. Solution: |
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| 4876. |
Explain the concept of composite functions with the help of an example. |
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Answer» Composite function is afunction that depends on any other function. In mathematics, a function means a relation between an input and output variable where, the output depends upon the input. |
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| 4877. |
How to find the radius of a circle on a graph? |
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Answer» The radius of the circle on a graph can be measured by finding the distance from the center of the circle to any point on the circle. The distance from the center point to any endpoint on the circle is called the radius of a circle |
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| 4878. |
What is the simplified form of 3 over 4x + 3 plus 21 over 8x2 - 14x - 15? |
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Answer» What is the simplified form of 3 over 4x + 3 plus 21 over 8x2 - 14x - 15? Solution: |
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| 4879. |
Which value must be added to the expression x2+ 16x to make it a perfect-square trinomial? 8,32,64,256 |
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Answer» Which value must be added to the expression x2 + 16x to make it a perfect-square trinomial? Solution: |
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| 4880. |
If all of the diagonals are drawn from a vertex of a hexagon, how many triangles are formed? 2, 3, 4, 5 |
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Answer» If all of the diagonals are drawn from a vertex of a hexagon, how many triangles are formed? 2, 3, 4, 5 Solution: |
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| 4881. |
How to differentiate the square root function f(x) = √(1 - x). |
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Answer» The derivative of the square root function f(x) is -1 / [2√(1 - x)]. Differentiation or derivative are important concepts that have many applications. In this section, we will learn how to differentiate a square root function. |
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| 4882. |
What is the y-value of the vertex of the function f(x) = -(x - 3)(x + 11)? |
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Answer» What is the y-value of the vertex of the function f(x) = -(x - 3)(x + 11)? Solution: |
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| 4883. |
How to find the distance between two points on a coordinate plane? |
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Answer» Distance between (a, b) and(c, d) is √[(a - c)2+ (b - d)2] We will use the concept of distance formula to find out the distance between two points on a coordinate plane. |
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| 4884. |
What do a quadrilateral and a pentagon have in common? |
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Answer» A quadrilateral and a pentagon have in common are that they both are closed polygons and the sum of their exterior angles is360°. A quadrilateral is a 4 sided polygon, while a pentagon is a 5 sided polygon. |
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| 4885. |
How many solutions will this system of equations have y = -3.5x - 3.5 and y = -3.5x + 3.5 No solution, Infinite solutions, One solution, Two solutions |
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Answer» How many solutions will this system of equations have y = -3.5x - 3.5 and y = -3.5x + 3.5 No solution, Infinite solutions, One solution, Two solutions Solution: |
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| 4886. |
What is 1/3of 1/2? |
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Answer» 1/3of 1/2is 1/6. Themultiplication of fractionsstarts with the multiplication of the given numerators, followed by the multiplication of the denominators. |
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| 4887. |
What is 4/5 as a decimal? |
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Answer» 4/5 as a decimal is0.8 Adecimalnumber can bedefinedas a number whose whole number part and the fractional part is separated by adecimalpoint. |
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| 4888. |
What is 14 * 6? |
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Answer» 14 ×6 = 84 We will multiply 14 and 6 to find 14 ×6. |
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| 4889. |
How to determine if a graph is even or odd? |
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Answer» If we substitute x with-x (negative x) in the function f(x) and the value of function f(x) becomes negative i.e.f(-x) = -f(x) for all x, then the function is known as odd function.If the value of function does not change i.e.f(-x) =f(x) for all x, then the function is known as an even function. We will use the concept of functions to find if the graph is even or odd. |
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| 4890. |
What is 0.8 As a Fraction? |
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Answer» 0.8 as a fraction is 8/10 or 4/5 Fractions are parts of a whole or a collection |
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| 4891. |
The volumes of the two spheres are in a ratio of 1:8. What is the ratio of their radii? |
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Answer» The volumes of the two spheres are in a ratio of 1:8. What is the ratio of their radii? Solution: |
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| 4892. |
What is 7/8 in Decimal form? |
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Answer» 7/8 is expressed as 0.875 in its decimal form. Let us see how to convert the fraction 7/8 to its decimal form. |
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| 4893. |
How to find the length of a segment in a circle? |
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Answer» The length of the segment of the circle can be found using the intersecting chords formula, EA × EB = EC × ED. A segment of a circle is the region enclosed by a chord and an arc so formed touching the endpoints of the chord. |
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| 4894. |
What is the solution to the equation 5/(3b3 -2b2 - 5) = 2/(b3 - 2)? b = -4 and b = 0,b = -4,b = 0 and b = 4,b = 4 |
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Answer» What is the solution to the equation 5/(3b3-2b2- 5) = 2/(b3- 2)? Solution: |
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| 4895. |
How to find the length of a diagonal of a rectangle with length given as l and breadth given as b. |
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Answer» d (diagonal) = √ (l2 + b2) We will use the properties of the rectangle in order to find the length of the diagonal. |
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| 4896. |
A line that describes volume across the surface of an object or shape is called a ____ line. |
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Answer» A line that describes volume across the surface of an object or shape is called a ____ line. Solution: |
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| 4897. |
When rolling two 6 sided number cubes, what are the chances the sum of the roll will be 7 |
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Answer» When rolling two 6 sided number cubes, what are the chances the sum of the roll will be 7 Solution: |
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| 4898. |
What is half of 1 3/4? |
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Answer» Half of1 3/4 is 7/8. We need to multiply 1/2 with1 3/4. |
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| 4899. |
What is 0.1 as a fraction? |
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Answer» 0.1 as a fraction is 1/10 Fractions are parts of a whole or a collection |
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| 4900. |
Find the following product by using suitable properties 1,938 ×99. |
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Answer» The product of 1,938 ×99 is191,862. To find the product we will use distributive property that is a × ( b - c) = (a× b) - (a× c). |
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