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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.
| 3201. |
The volume of the triangular prism is 54 cubic units. What is the value of x? |
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Answer» The volume of the triangular prism is 54 cubic units. What is the value of x?
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| 3202. |
Given the parent functions f(x) = 5x -1 and g(x) = 3x -9, what is g(x) -f(x)? |
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Answer» Given the parent functions f(x) = 5x -1 and g(x) = 3x -9, what is g(x) -f(x)? Solution: |
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| 3203. |
Given that f(x) = 2x + 1 and g(x) = -5x + 2, solve for f(g(x)) when x = 3 ? |
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Answer» Given that f(x) = 2x + 1 and g(x) = -5x + 2, solve for f(g(x)) when x = 3 ? Solution: |
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| 3204. |
Find the derivative of the function using the definition of the derivative. g(x) = 8 − x. |
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Answer» The derivative of the function g(x) = 8 − x, using the definition of the derivative is g'(x)= -1. We will use the concept of differentiation by the first principle and find the derivative. |
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| 3205. |
Express 1 divided by 3 as a fraction. |
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Answer» The value of
1 divided by 3 as a fraction is 1/3. To writea fraction in its simplest form meansthe numeratorand denominator can no longer be divided by the same whole number exactly or evenly. |
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| 3206. |
What is the length of a diagonal of a rectangle whose sides are 5 cm and 12 cm long? |
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Answer» What is the length of a diagonal of a rectangle whose sides are 5 cm and 12 cm long? Solution: |
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| 3207. |
Use synthetic division to find p(-2) for p(x) = x4 + 9x3 - 9x + 2. |
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Answer» Use synthetic division to find p(-2) for p(x) = x4 + 9x3 - 9x + 2. Solution: |
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| 3208. |
PR and QS are diameters of circle T. What is the measure of SR? 50°, 80°, 100°, 120° |
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Answer» PR and QS are diameters of circle T. What is the measure of SR?
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| 3209. |
Solve for x, given the equation square root of x plus 9 - 4 = 1. |
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Answer» Solve for x, given the equation square root of x plus 9 - 4 = 1. Solution: |
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| 3210. |
What are the solutions of 8x2= 6 + 22x? |
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Answer» What are the solutions of 8x2= 6 + 22x? Solution: |
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| 3211. |
10 divided by 3 as a fraction |
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Answer» 10 divided by 3 as a fraction is 10/3. Writing a fraction in its simplest form means that the numerator and denominatorcan no longer be divided by the same whole number exactly or evenly. |
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| 3212. |
Find an equation in standard form for the hyperbola with vertices at (0, ±9) and foci at (0, ±11). |
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Answer» Find an equation in standard form for the hyperbola with vertices at (0, ±9) and foci at (0, ±11). Solution: |
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| 3213. |
Is it true? Through a point not on a line, one and only one line can be drawn parallel to the given line. |
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Answer» Is it true? Through a point not on a line, one and only one line can be drawn parallel to the given line. Solution: |
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| 3214. |
Express5 divided by 8 as a fraction |
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Answer» The value of5 divided by 8 as a fraction is 5 / 8. To writea fraction in its simplest form meansthe numeratorand denominator can no longer be divided by the same whole number exactly or evenly. |
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| 3215. |
The set of all points in a plane that lie the same distance from a single point in the plane.Which one is the answer (i) Collinear(ii) Angle(iii) Circle(iv) Coplanar |
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Answer» The set of all points in a plane that lie the same distance from a single point in the plane.Which one is the answer Solution: |
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| 3216. |
What is a positive number to the power of negative 1? |
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Answer» A positive number to the power negative 1 is a number that is always less thanone. We will be looking at the concept of exponents in this section. Exponents are very important concepts in mathematics that are used to make calculations convenient. |
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| 3217. |
How to find the slope of a curve at a given point? |
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Answer» To find the slopeof a curve at a given point, we simply differentiate the equation of the curve and find the first derivative of the curve, i.e., dy/dx. The slope of a curve is a slope of atangent line for a curve atone point. |
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| 3218. |
One of the factors of 6x3-864x? a.4 b. x2 c.x+12 d. x-8 |
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Answer» One of the factors of 6x3-864x? a.4 b. x2 c.x+12 d. x-8 Solution: |
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| 3219. |
Value of 1 to the power of 5 is? |
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Answer» 1 to the power of 5is 1. The power or exponents of any number showsthat how many times we should use the same number while doing itsmultiplication. |
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| 3220. |
Solve the differential equation by variation of parameters. y''+3y'+2y = cos(ex) |
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Answer» Solve the differential equation by variation of parameters. y''+3y'+2y = cos(ex) Solution: |
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| 3221. |
Which statements are true for the functions g(x) = x2 and h(x) = -x2 ? check all that apply. For any value of x, g(x) will always be greater than h(x) For any value of x, h(x) will always be greater than g(x) g(x) > h(x) for x = -1 g(x) < h(x) for x = 3 For positive values of x, g(x) > h(x) For negative values of x, g(x) > h(x) |
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Answer» Which statements are true for the functions g(x) = x2 and h(x) = -x2 ? check all that apply. For any value of x, g(x) will always be greater than h(x) For any value of x, h(x) will always be greater than g(x) g(x) > h(x) for x = -1 g(x) < h(x) for x = 3 For positive values of x, g(x) > h(x) For negative values of x, g(x) > h(x) Solution: |
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| 3222. |
Solve the given differential equation by separation of variables. csc(y) dx + sec2(x) dy = 0 |
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Answer» Solve the given differential equation by separation of variables. csc(y) dx + sec2(x) dy = 0 Solution: |
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| 3223. |
What is the equation of the line passing through (-1, 4) and parallel to y = 2x + 1? |
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Answer» What is the equation of the line passing through (-1, 4) and parallel to y = 2x + 1? Solution: |
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| 3224. |
Find the equation of the line passing through the point (6,3) that is perpendicular to the line 4x - 5y = -10? |
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Answer» Find the equation of the line passing through the point (6,3) that is perpendicular to the line 4x − 5y = −10? Solution: |
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| 3225. |
9.7 m, 10.4 m, 37.3 m, 38.6 m |
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Answer» What is the length of x? Round to the nearest tenth. 9.7 m, 10.4 m, 37.3 m, 38.6 m Solution: |
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| 3226. |
What is the length of x? Round to the nearest tenth. |
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Answer» What is the length of x? Round to the nearest tenth. 9.7 m, 10.4 m, 37.3 m, 38.6 m Solution: |
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| 3227. |
Given AB explainhow to construct a square with sides of length AB? |
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Answer» The steps to construct a square with sides of length AB are given below. A square is a closed two-dimensional figure with four sides and four corners. The length of all four sides is equal and parallel to each other. |
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| 3228. |
If x is a whole number and 437 = (21 + x) (21 - x), then x =? |
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Answer» If x is a whole number and 437 = (21 + x)(21 - x), then x =? Solution: |
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| 3229. |
What is the solution to this system of linear equations 2x+3y=3 and 7x-3y=24? |
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Answer» What is the solution to this system of linear equations 2x+3y=3 and 7x-3y=24? Solution: |
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| 3230. |
How much is 6 to the power of 10? |
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Answer» 6 to the power of 10 is 60466176. The power or exponent of a number represents how many times we use the number to multiply with itself. |
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| 3231. |
Find b, given that a = 20, angle A = 30°, and angle B = 45° in triangle ABC. |
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Answer» Find b, given that a = 20, angle A = 30°, and angle B = 45° in triangle ABC. Solution: |
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| 3232. |
What is the value of the radius of the following circle with an area of 154 cm2? |
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Answer» What is the value of the radius of the following circle with an area of 154 cm2? Solution: |
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| 3233. |
Using the quadratic formula to solve x2 + 20 = 2x, what arethe values of x? |
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Answer» Using the quadratic formula to solve x2 + 20 = 2x, what are thevalues of x? Solution: |
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| 3234. |
A Coin is Tossed Three Times. What is the Probability of getting 3 Tails? |
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Answer» The probability of flipping a coin three times and getting 3 tails is 1/8. We will be using the concept of probability to solve this. |
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| 3235. |
Given the relation y = 7x2 + 3, if the input is 4, what is the output? |
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Answer» Given the relation y = 7x2+ 3, if the input is 4, what is the output? Solution: |
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| 3236. |
Which equation shows the quadratic formula used correctly to solve 7x2 = 9 + x for x? |
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Answer» Which equation shows the quadratic formula used correctly to solve 7x2 = 9 + x for x? Solution: |
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| 3237. |
Solve the Differential Equation. Use the Fact that the given Equation is Homogeneous. dy/dx = (x2 + 8y2) / 3xy |
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Answer» The general solution of differential equationdy/dx = (x2 + 8y2) / 3xy isy = ± √c1x16/3- x2/5 We will be solving this by using the first-order separable ordinary differential equation. |
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| 3238. |
Determine two pairs of polar coordinates for the point (4, -4) with 0° ≤ θ < 360°. |
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Answer» Determine two pairs of polar coordinates for the point (4, -4) with 0° ≤ θ < 360°. Solution: |
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| 3239. |
Use logarithmic differentiation to find the derivative of the function. y = (x3 + 2)2(x4 + 4)4 |
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Answer» Use logarithmic differentiation to find the derivative of the function. y = (x3 + 2)2(x4 + 4)4 Solution: |
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| 3240. |
Find the value of x round to the nearest tenth. The diagram is not drawn to scale |
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Answer» Find the value of x round to the nearest tenth. The diagram is not drawn to scale
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| 3241. |
Find the general solution of the given differential equation. x dy/dx -y= x2 sin(x) |
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Answer» Find the general solution of the given differential equation. x dy/dx -y= x2 sin(x) Solution: |
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| 3242. |
The line produced by the equation y = 4x - 5 crosses the vertical axis at y = 5. True or False. |
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Answer» The line produced by the equation y = 4x - 5 crosses the vertical axis at y = 5.True or False. Solution: |
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| 3243. |
How to express 6to the power of 3? |
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Answer» 6to the power of 3can be expressed as 63= 6× 6× 6= 216 Power in exponents is defined as the total number of times we use the number ina multiplication.For example 2 to the power 3 means 2 is multiplied 3 times. |
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| 3244. |
What are the solutions to x2 + 8x + 7 = 0? |
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Answer» What are the solutions to x2+ 8x + 7 = 0? Solution: |
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| 3245. |
If the nth Partial sum of a series An is Sn = n - 5/n + 5.Find An andA1. |
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Answer» If the nth Partial sum of a series An is Sn = n - 5/n + 5.Find An andA1. Solution : |
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| 3246. |
What is the discriminant of 3x2 + 6x = 2? |
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Answer» What is the discriminant of 3x2+ 6x = 2? Solution: |
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| 3247. |
Find the measure of the arc or angle indicated assume that lines which appear tangent are tangent |
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Answer» Find the measure of the arc or angle indicated assume that lines which appear tangent are tangent
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| 3248. |
Find the center, vertices, and foci of the ellipse with equation 2x2 + 6y2 = 12. |
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Answer» Find the center, vertices, and foci of the ellipse with equation 2x2+ 6y2= 12. Solution: |
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| 3249. |
How to tell if a number is rational or irrational? |
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Answer» If a number can be written or can be converted to p/q form, where p and q are integers and q is a non-zero number,then it is said to be rational and if it cannot be written in this form, then it is irrational. Numbers that can be written in the form of a ratio or a fraction are called rational numbers. Irrational numbers cannot be represented as a fraction. |
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| 3250. |
How do I multiply a fraction by a whole number? |
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Answer» To multiply a fraction by a whole number, express the whole number 'x' as 'x/1' and then find the product of both the numerators and denominators. Wholenumbers are part of real numbers including allthe positive integers andzero, but they do not include fractions,decimals, ornegative numbers. |
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