MATH 2016

29. (9x+a)(a+b) is equal to ___. a. x^2+bx+ab b. x^2+(a+b)x+ab c. x^2ax+ab d. x^2+ab

b. x^2+(a+b)x+ab

21. If sec^2A is 5/2, the quantity 1-sin^2A is equivalent to ___. a. 1.5 b. 0.6 c. 0.4 d. 2.5

c. 0.4

39. When a transversal cuts two lines, it forms two pairs of ___. a. Corresponding angles b. Parallel lines c. Alternate exterior angles d. Alternate interior angles

d. Alternate interior angles

10. A line that helps to define a geometric figure is called the __________. a. Tangent line b. Curve c. Directrix d. Axis of Symmetry

d. Axis of Symmetry

14. The aggregation of individuals formed for the purpose of conducting a business and recognized by law as a fictitious person is called ___. a. Investors b. Partnership c. Stockholders d. Corporation

d. Corporation

15. Geometrically, _______ means finding the slope of the tangent line is a function at a particular point, physically, this means finding the speed of an object given its position as function of time. a. Analysis b. Calculus c. Velocity d. Acceleration

b. Calculus

37. Any particular raw material or primary product such as cloth, wool, flour, coffee, etc. are called ___ a. Necessity b. Commodity c. Utility d. Stock

b. Commodity

19. ___ refers to the amount of a product made available for sale a. Good b. Supply c. Product d. Demand

b. Supply

12. A spherical triangle has an area of 127.25 sq. km. The radius of the sphere if its spherical excess is 30° in ___. a. 20 km b. 22 km c. 25 km d. 28 km

c. 25 km

8. Two angles are called _____ if they share the same vertex having one side in common between them. a. Complementary angles b. Opposite angles c. Adjacent angles d. Right angles

c. Adjacent angles

25. A means of estimating the value of a particular number if you know the value of the function for two other numbers above and below the number in question is known as ____. a. Newton's Method b. Lagrange method c. Interpolation d. Direct Method

c. Interpolation

9. If the bearing of A from B is S 40° W, then bearing of B from A is ___. a. N 50° E b. N 40° W c. N 40° E d. N 50° W

c. N 40° E

46. ____ is called a one-time credit against taxes. a. Credible credit b. Due credit c. Tax Credit d. Revenue

c. Tax Credit

27. From the third-floor window of a building the angle of depression of an object on the ground is 35°58', while from a sixth-floor window, 9.75 m above the first point of observation the angle of depression is 58°35'. The object from the building is ___ far. a. 10.7 m b. 9.3 m c. 15.3 m d. 11.9 m

a. 10.7 m

26. The number of terms in the expression 2x^2+3x+5 is ___ a. 3 b. 2 c. 1 d. 0

a. 3

34. If (x-7)(x-5) = -1, then the value of x is ___. a. 6 b. -6 c. -2 d. -4

a. 6

13. An operation obeys the ___ if the order of the two numbers involved does not matter. a. Commutative property b. Identity property c. Distributive property d. Associative property

a. Commutative property

2. The inequality -3n<12 is equivalent to ___. a. N>-4 b. N<4 c. N>4 d. N<-4

a. N>-4

32. What refers to the goods and services that are required to support human life, needs and activities? a. Necessity b. Consumer products c. Luxury d. Producer products

a. Necessity

42. The center of gravity of a right circular solid cone is at a distance of ___ from its base, measured along the vertical axis. (where h= Height of a right circular solid cone) a. h/4 b. h/6 c. h/4 d. h/3

a. h/4

30. Given the equations below, the value of y-x is ___. 3x+4 = -5y+8 9x+11y = -8 a. 2 b. 12 c. -2 d. -12

b. 12

4. If f(x) = 6x+4 and g(x) = x2-1, then the value of g(f(x)) is ___ a. 36x^2+98x+16 b. 36x^2+48x+15 c. 36x^2+16 d. 6x^2-2

b. 36x^2+48x+15

43. Two sides of a triangle measures 6 cm and 8 cm and their included angle is 40°. The third side would be ___ a. 5.645 cm b. 5.144 cm c. 4.256 cm d. 5.263 cm

b. 5.144 cm

28. The expression 7xy has the factors ___. a. x,y b. 7,x c. 7,x,y d. 7,y

c. 7,x,y

35. An infinitesimal change in variable is called ___. a. Integral b. Exponential c, Substitution d. Differential

d. Differential

16. The theorem that tells how to find the exponential of an imaginary number is called ___. a. Binomial theorem b. Pythagorean theorem c. De moivre's theorem d. Euler's theorem

d. Euler's theorem

3. Using factor method, the depletion at any given year us equal to a. Initial cost of property divided by the total units in property b. Initial cost of property divided by the number of units sold during the year c. Initial cost of property times number of units sold during the year d. Initial cost of property times number of units sold during the year divided by the total units in property

d. Initial cost of property times number of units sold during the year divided by the total units in property

24. The ____ is a function that is to be integrated. a. Linear function b. Derivative c. Integral d. Integrand

d. Integrand

6. The unit of work or energy is S.I. unit is ___. a. Watt b. Pascal c. Newton d. Joule

d. Joule

36. Suppose men always married woman who were 10% shorter than they were. The correlation coefficient of the heights of married couples would be ___. a. 1.0 since the height of the man is always predictable from the height of the woman. b. -0.10 if the correlation were computed with corr (female, height, male, height) c. 0.10 if the correlation were computed with corr (male, height, female, height) d. 0.10 no matter which way the correlation was computed.

gugel niyo muna baka meron

17. ___ is equal to left-hand derivation of f at x=0. Let f(x) = 2x+1, x>0 and x^2 + 1, x > 0 a. 2x b. 0 c. -∞ d. 2

kain muna kayo

38. The differential equation 2(dy/dx)+x^2y = 2x+3, y(0) = 5 is ___. a. Linear b. Linear with fixed constants c. Undeterminable to be or nonlinear d. Nonlinear

naubusan ako ng sasabihin haha

45. ____ is one value that makes the fraction undefined. (x^2-25) (x^3-125) a. -5 b. -25 c. 5 d. -1

sagot niyo pay

41. Using the curve x2-xy2+y2 = 1, ___ is equal to dy/dx. a. Y+2x, 2y-x b. 2x, x-2y c. 2x+y, x-2y d. Y-2x, 2y-x

wala pa sagot

11. Angle A in the spherical triangle ABC, given a=106°25', c=42°16' and B=114°53' is ___. a. 80°42' b. 97°09' c. 72°43' d. 45°54'

b. 97°09'

1. ___ are the factor of 64x3-16x. a. 16x(2x-1)(2x+1) b. 4(16x2-16x) c. 16(x2-x) d. 16x(6x2)

Tangina mo

18. The researchers are not satisfied with their confidence interval and want to do another study to find a shorter confidence interval. They should change ___ to ensure they find a shorter confidence interval. a. They should decrease their confidence level and decrease their sample size b. They should increase their confidence level and increase their sample size c. They should decrease their confidence level but increase their sample size d. They should increase their confidence level but decrease their sample size

c. They should decrease their confidence level but increase their sample size

7. ___ is not a vector quantity. a. Acceleration b. Velocity c. Weight d. Force

c. Weight

20. The equation 2sinhxcoshx is equal to ___. a. ex b. e-x c. sinh2x d. coshx

c. sinh2x

5. The moment of inertia of a sphere of mass "m" and radius "r", about an axis tangential to it is ___ a. (2mr^2)/5 b. (7mr^2)/3 c. (2mr^2)/3 d. (7mr^2)/5

d. (7mr^2)/5

31. Let y=uv be the product of the function u and v. Find y' if u=2, u'=3, v=-1, and v'=1. a. 1 b. -4 c. 4 d. -1

d. -1

23. If ½x+6 = -x-3, then the value of -2x is ___. a. -3 b. -12 c. -6 d. 12

d. 12

22. From a point P on a level ground, the angle of elevation of the top tower is 30°. If the tower is 100 m high, then the distance of point P from the foot of the tower is ___. a. 156 m b. 200 m c. 149 m d. 173 m

d. 173 m

44. Two ships are sailing in the sea on two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30° and 45° respectively. If the lighthouse is 100 m high, the distance between the two ships is ___ a. 300 b. 173 c. 200 d. 273

d. 273

33. If each term in the sequence below is nine less than the previous term, then the ninth term of the sequence is ___. 101, 92, 83, 74, ... a. 38 b. 20 c. 9 d. 29

d. 29

40. The ___ of a number is the number that, when multiplied together three times gives that number. a. Product b. Least common multiple c. Square root d. Cube root

d. Cube root