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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.
| 2951. |
Find the possible values for s in the inequality 12s - 20 ≤ 50 - 3s - 25. |
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Answer» Find the possible values for s in the inequality 12s - 20 ≤ 50 - 3s - 25. Solution: |
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| 2952. |
What are the approximate solutions of 2x2 + x = 14, rounded to the nearest hundredth? |
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Answer» What are the approximate solutions of 2x2+ x = 14, rounded to the nearest hundredth? Solution: |
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| 2953. |
Which equation represents a circle that contains the point (-2, 8) and has a center at (4, 0)? (x - 4)2 + y2 = 100 (x - 4)2 + y2 = 10 x2 + (y - 4)2 = 10 x2 + (y - 4)2 = 100 |
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Answer» Which equation represents a circle that contains the point (-2, 8) and has a center at (4, 0)? Solution: |
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| 2954. |
What are independent and dependent variables? |
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Answer» In any equation, the variable that representsthe input is calledan independent variable and the variable that representsthe outputis called a dependent variable A symbol that doesn't have a fixed value is called avariablein Math. It can take any value. |
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| 2955. |
How to convert an improper fraction to a mixed number? |
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Answer» Toconvert an improper fractionto amixed fraction, divide the numerator by the denominator, write the quotient as the whole number and the remainder as the new numerator on top of the same denominator. Amixed numberis a combination of awhole numberand a proper fraction. |
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| 2956. |
What is 2 3/4 as a decimal? |
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Answer» 23/4 as a decimal is 2.75. An example of a decimal number is the number 1.66. The number "1.66" is the part of a whole and is the approximate equivalent of the fraction 83/50. |
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| 2957. |
Find the equation for a parabola with its focus at (0, 3) and a directrix of y = -3. |
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Answer» Find the equation for a parabola with its focus at (0, 3) and a directrix of y = -3. Solution: |
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| 2958. |
How we can write 7452283 in the international system. |
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Answer» 7,452,283 in the international system is written as Seven million four hundred fifty-two thousand two hundred and eighty-three. An international place value system has to place the value of numbers in the sequence ones, tens, hundreds, thousands, ten thousand, hundred thousand, millions, ten million, hundred millions, billions, and so on. |
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| 2959. |
What is the ratio of the sector area to the area of the entire circle? |
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Answer» What is the ratio of the sector area to the area of the entire circle?
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| 2960. |
What is halfof 1½? |
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Answer» Half of 1½ is 3/4 as a fraction. Themultiplication of fractionsstarts with the multiplication of the given numerators, followed by the multiplication of the denominators. |
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| 2961. |
Which equations could be used to solve for the unknown lengths of △ABC? Check all that apply. sin(45°) = BC/9 sin(45°) = 9/BC 9 tan(45°) = AC (AC)sin(45°) = BC cos(45°) = BC/9 |
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Answer» Which equations could be used to solve for the unknown lengths of △ABC? Check all that apply.
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| 2962. |
Sketch the region enclosed by the given curves. y = |3x|, y = x2 - 4 |
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Answer» Sketch the region enclosed by the given curves. y = |3x|, y = x2- 4 Solution: |
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| 2963. |
A rational number can be written as the ratio of one ________ to another and can be represented by a repeating or ________ decimal. |
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Answer» Integer, recurring Numbers that can be expressed in a/b or fraction form is arational numberwherea is any integer and b is a non zero integers. |
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| 2964. |
What is the slope of the line that passes through (1, 4) and (1, -3)? 7, -7, Undefined, 0 |
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Answer» What is the slope of the line that passes through (1, 4) and (1, -3)? 7, -7, Undefined, 0 Solution: |
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| 2965. |
Circle E has a radius of 40 centimeters with m arc ABC = 324°. Find the exact length of arc ABC. |
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Answer» Circle E has a radius of 40 centimeters with m arc ABC = 324°. Find the exact length of arc ABC. Solution: |
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| 2966. |
Which calculation can be used to find the value of y in the equation y3 = 27? |
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Answer» Which calculation can be used to find the value of y in the equation y3= 27? Solution: |
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| 2967. |
75 is What Percent of 90? |
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Answer» 75 is 83.33 percent of 90. Percent is a ratio or a fraction in which the whole is always taken as 100. |
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| 2968. |
A company has sales of $695,000 and cost of goods sold of $278,000. Its gross profit equals: $417,000, $695,000, $278,000, $973,00 |
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Answer» A company has sales of $695,000 and cost of goods sold of $278,000. Its gross profit equals: Solution: |
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| 2969. |
Two sides of a triangle have lengths 'a' and 'b' and the angle between them is θ. What value of θ will maximize the area of the triangle? |
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Answer» Two sides of a triangle have lengths 'a' and 'b' and the angle between them is θ. What value of θ will maximize the area of the triangle? Solution: |
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| 2970. |
The axis of symmetry for the graph of the function f(x) = 3x2 + bx + 4 is x equals three-halves. What is the value of b? |
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Answer» The axis of symmetry for the graph of the function f(x) = 3x2 + bx + 4 is x equals three-halves. What is the value of b? Solution: |
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| 2971. |
In which triangle is the measure of the unknown angle, x, equal to the value of sin-1[5 / 8.3] |
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Answer» In which triangle is the measure of the unknown angle, x, equal to the value of sin-1[5 / 8.3]
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| 2972. |
a.) sometimes b.) always c.) never |
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Answer» (c) never. The statement cannot be true. A trinomial is an algebraic expression that contains 3 non-zero terms. For example (x + y + z) is a trinomial since they are separated by an addition operator. |
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| 2973. |
The product of (a + b) (a − b) is a perfect square trinomial. The statement is true |
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Answer» (c) never. The statement cannot be true. A trinomial is an algebraic expression that contains 3 non-zero terms. For example (x + y + z) is a trinomial since they are separated by an addition operator. |
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| 2974. |
Determine whether the geometric series is convergent or divergent. 10 - 4 + 1.6 - 0.64 +... If it convergent, find the sum? |
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Answer» Determine whether the geometric series is convergent or divergent. 10 - 4 + 1.6 - 0.64 +... If it convergent, find the sum? Solution: |
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| 2975. |
What is the shape of the cross section taken parallel to the base of a square pyramid? |
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Answer» What is the shape of the cross section taken parallel to the base of a square pyramid? Solution: |
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| 2976. |
Which polynomial function has x intercepts -1, 0, and 2 and passes through the point (1, -6)? f(x) = x3 - x2 - 2x f(x) = 3x3- 3x2 - 6x f(x) = x3+ x2 - 2x f(x) = 3x3+ 3x2 - 6x |
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Answer» Which polynomial function has x intercepts -1, 0, and 2 and passes through the point (1, -6)? Solution: |
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| 2977. |
Which expression represents x2 - 8x + 16 in factored form? (x + 4)2 (x - 4)2 (x + 4)(x - 4) (x - 2)(x - 8) |
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Answer» Which expression represents x2 - 8x + 16 in factored form? Solution: |
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| 2978. |
Derive the Equation of the Parabola with a Focus at (2, 4) and a Directrix of y = 6. |
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Answer» The Equation of the Parabola withFocus at (2, 4) and a Directrix of y = 6is x2- 4x + 4y - 16= 0. We will be solving this by using the focus point and the directrix. |
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| 2979. |
What is the axis of symmetry and vertex for the function f(x) = 3(x - 2)2 + 4? |
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Answer» What is the axis of symmetry and vertex for the function f(x) = 3(x - 2)2 + 4? Solution: |
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| 2980. |
The measures of the angles in a triangle are in the extended ratio 3 : 4 : 8. What are the measures of the angles? |
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Answer» The measures of angles are 36º, 48º and 96º. A triangle is a polygon with three sides, three angles, and three vertices. The sum of interior angles of a triangle is 180º. |
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| 2981. |
A motorboat whose speed in still water is 18 km/h, takes 1 hour more to go 24 km upstream than to return downstream to the same spot. Find the speed of the stream. |
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Answer» The speed of the stream is 6km/hr. The question is a real-life application of linear equations in two variables. |
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| 2982. |
what is the value of k? k = 28,k = 29,k = 31, k = 42 |
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Answer» what is the value of k? k = 28,k = 29,k = 31, k = 42
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| 2983. |
What is 1/5 as a decimal? |
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Answer» 1/5 as a decimal is expressed as 0.2 Adecimalnumber can bedefinedas a number whose whole number part and the fractional part is separated by adecimalpoint. |
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| 2984. |
How can you tell that a fraction is a unit fraction? |
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Answer» A unit fraction is any fraction with 1 as its numerator (top number), and a whole number in the denominator (bottom number). The definition of the unit fraction is given below. |
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| 2985. |
Simplify (x2 - 15x + 36)/(5x - 60)? |
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Answer» Simplify (x2 - 15x + 36)/(5x - 60)? Solution: |
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| 2986. |
What is the first step when constructing an angle bisector using only a compass and a straightedge? |
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Answer» What is the first step when constructing an angle bisector using only a compass and a straightedge? Solution: |
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| 2987. |
What is the reflection of point P (-1 6) on the line x = 1? |
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Answer» What is the reflection of point P (-1 6) on the line x = 1? Solution: |
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| 2988. |
Select the factors of xy - 4x + 2y - 8. (x - 2) (y + 4), (x + 2) (y - 4), (x - 4) (y + 2), (x + 4) (y - 2) |
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Answer» Select the factors of xy - 4x + 2y - 8. Solution: |
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| 2989. |
Difference between the two numbers is 25. The smaller number is 1/6th of the larger number. What is the value of the smaller number? |
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Answer» Difference between the two numbers is 25. The smaller number is 1/6th of the larger number. What is the value of the smaller number? Solution: |
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| 2990. |
Use the rules for the long division to divide 262 by 9. |
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Answer» Use the rules for the long division to divide 262 by 9. Solution: |
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| 2991. |
What is the area of a sector of a circle with r = 18”, given that its arc length is 6π? |
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Answer» What is the area of a sector of a circle with r = 18”, given that its arc length is 6π? Solution: |
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| 2992. |
How many 1 cm squares would it take to construct a square that is 1 m on each side? |
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Answer» How many 1 cm squares would it take to construct a square that is 1 m on each side? Solution: |
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| 2993. |
The speed of a boat in still water is 11 km/hr. It can go 12 km upstream and return downstream to its original point in 2 hr 45 min. Find out the speed of the stream. |
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Answer» The speed of the stream is 5 km/hr. The question is a real-life application of linear equations in two variables. |
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| 2994. |
Describe the x-values at which the function is differentiable. (enter your answer using interval notation.) y = |x2 - 25| |
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Answer» Describe the x-values at which the function is differentiable. (enter your answer using interval notation.) y = |x2 - 25| Solution: |
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| 2995. |
What is 125%as a fraction? |
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Answer» 125%as a fraction is 5/4 A percentageis a fraction of a ratio in which the value of the whole is always 100. |
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| 2996. |
Write an inequality for the situation. All real numbers y that are less than 4 or greater than 9 |
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Answer» Write an inequality for the situation. All real numbers y that are less than 4 or greater than 9 Solution: |
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| 2997. |
What kind of solutions does 3x + 2y = 4 and 2x - y = 5 have? |
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Answer» What kind of solutions does 3x + 2y = 4 and 2x - y = 5 have? Solution: |
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| 2998. |
What is the axis of symmetry for f(x) = -2x2 + 20x - 42? |
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Answer» What is the axis of symmetry for f(x) = -2x2 + 20x - 42? Solution: |
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| 2999. |
Which is a factor of the polynomial f(x) = 6x4 - 21x3 - 4x2 + 24x - 35? 2x - 7,2x + 7,3x - 7,3x + 7 |
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Answer» Which is a factor of the polynomial f(x) = 6x4- 21x3- 4x2+ 24x - 35? Solution: |
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| 3000. |
These two scalene triangles are similar with a scale of 5:2. What is true about these figures? |
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Answer» These two scalene triangles are similar with a scale of 5:2. What is true about these figures?
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