Which of the following is the standard acceleration due to gravity in English units?

Two times the mother’s age is 8 more than six times her daughter’s age. Ten years ago, the sum of their ages was 44. What is the daughter’s age?

How many terms of the sequence −9, −6, −3, … must be taken so that the sum is 66?

A farmer is to plant rice in a rectangular field 30 m by 40 m. He starts on the edge and plants around the perimeter. How wide a strip should he plant on each side in order to do half the work (cover half the field area)?

There are six geometric means between 4 and 8748. Find the sum of all terms of the geometric sequence that starts at 4 and ends at 8748 with six means in between.

Find the root mean square (RMS) of 11, 23, and 35.

Determine the distance traveled by a particle between t = 0.2 s and t = 0.3 s if its velocity is v = 12t + 7/t (v in cm/s, t in s).

A pole casts a shadow 15 m long when the angle of elevation of the sun is 61°. If the pole leans 15° from the vertical directly toward the sun, what is the length of the pole?

What is the supplement of an angle whose complement is 62°?

A certain angle has a supplementary angle equal to five times its complement. What is the angle?

Water is pouring into a swimming pool. After t hours, the number of gallons in the pool is given; at what rate, in gallons per minute (GPM), is water pouring into the pool when t = 9 hours?

From the top of tower A, the angle of elevation of the top of tower B is 46°. From the foot of tower B, the angle of elevation to the top of tower A is 28°. Both towers are on level ground. If the height of tower B is 120 m, how high is tower A?

Think of a number. Double the number, subtract 6 from the result, and divide the answer by 2. The quotient is 20. What is the number?

Determine the absolute value (magnitude) of the resultant vector of F1 = 4i + 7j + 6k, F2 = 9i + 2j + 11k, and F3 = 5i − 3j − 8k.

The volume of a cube is increasing at a rate of 5 m^3/min. Determine the rate at which the surface area is increasing, in m^2/min, when its side is 10 m.

Determine the accumulated value of P2000.00 in 5 years if it is invested at 11% compounded quarterly.

What is the effective annual rate equivalent to 12% nominal interest compounded quarterly?

A man borrowed P2,000.00 from a bank to be paid at the end of one year. The bank discounted the loan and gave P1950 in cash. Determine the rate of discount.

Find the voltage drop to move a charge of 2 C from point A to point B if the required energy is −30 J.

Evaluate the infinite nested radical z = √(1 − √(1 − √(1 − …))). What is the value of z?

Solve for x if log10 x = 0.1.

If vector A has magnitude 10 units and vector B has magnitude 20 units making a 60° angle with vector A, what is the magnitude of the difference vector B − A?

It is between 3 and 4 o’clock. In twenty minutes, the minute hand will be as much ahead of the hour hand as it is currently behind it. What is the time now?

Determine the value of 0!.

Determine the diameter of the circle $$x^2 + y^2 - 6x + 4y - 12 = 0$$ .

If x varies directly as y and inversely as z, and x = 14 when y = 7 and z = 2, find x when z = 4 and y = 16.

Determine the absolute value (modulus) of the complex number 3 + 4i.

Simplify $$i^{997} + i^{999}$$ here i is an imaginary number.

A ball is dropped from a height of 60 meters above the ground. How long does it take to hit the ground?

Determine the outside diameter of a hollow steel tube that will carry a tensile load of 500 kN at a stress of 140 MPa. Assume the wall thickness to be one-tenth of the outside diameter.

A change in position, specified by a length and a direction is said to be:

The process of one substance mixing with another because of molecular motion is known as:

Those cost that arise as the result of a change in operations or policy or it is the ratio of a small increment cost and a small increment of output.

What is acid test ratio?

How do you call an energy required to move 1 coulomb of charge through an element?

In electricity, how do you call the rate of charge flow?

Which of the following is the equivalent of 1 ampere?

This is the process of expressing a polynomial as the product of another polynomial or monomial of lower degree. What is this mathematical process?

This is the point where the concavity of a curve changes or when the slope of the curve is neither increasing nor decreasing. What is this point?

How do you call the axis of hyperbola that passes through the center, the focus, and the vertices?

What is the number which could not be expressed as a quotient of two integers?

How do you call the distance of a point from the y-axis?

A polygon with 10 sides is said to be:

The economic order quantity (EOQ) is defined as the order quantity which minimizes the inventory cost per unit time. Which of the following is not an assumption of the basic EOQ model with no shortages?

How do you classify work-in-process?

Which of the following does not affect owner's equity?

How do you call an increase in the value of a capital asset?

Another term of bonus is:

A polygon with twelve sides is known:

It is a series of equal payments occurring at equal intervals of time where the first payment is made after several periods, after the beginning of the payment. How do you call this payment?

How do you call the integral of any quotient whose numerator is the differential of the denominator?

What is a regular polygon that has 27 diagonals?

What is the reason why an ivory soap floats in the water?

What do you think is the negotiation of wage rates, conditions of employment, etc., by representatives of the labor force and management?

How do you call a type of bond where the corporation's owner name is recorded and the interest is paid to the owners without their asking for it?

What do you think is the output or sales at which income is insufficient to equal operating cost?

What is an estimate of an asset's net market value at the end of its estimated life?

What do you think is the provision in the contract that indicates the possible adjustment of material cost and labor cost?

What can you say about the present worth of all depreciation over the economic life of an item?

This is the process of determining the value of certain property for specific reasons. What is this?

What do you think are those products or services that are required to support human life and activities that will be purchased in somewhat the same quantity even though the price varies continuously?

How do you call a market where there is only one buyer of an item for which there are no goods substitutes?

Which of the following is not a property of magnetic field lines?

Tesla is a unit of which of the following?

How do you call a polygon with 10,000 sides?

It is any influence capable of producing a change in the motion of an object. What is this?

How do you call a ring-shaped surface or solid obtained by rotating a circle about a coplanar line that does not intersect?

If the eccentricity is less than one, then the curve is:

What do you say to the following statement: the volume of a circular cylinder is equal to the product of its base and altitude?

What is the study of the properties of figures of three dimensions?

Points that lie on the same plane are called:

The sum of all the cost incurred by the originators of the project up to the time that the promoters of the project accept the project is known as:

This is a number sequence where the succeeding term is obtained by adding the last pair of preceding terms such as (1, 1, 2, 3, 5, 8...). How do you call this number sequence?

If the roots of an equation are zero, then, how do you classify the solutions?

This law in electrical circuits states, "The algebraic sum of currents entering a node (or a closed boundary) is zero." What do you call this law?

This law in electrical circuits states, "The algebraic sum of all voltages around a closed path (or loop) is zero." What do you call this law?

In electrical, what is the SI unit of conductance?

How do you call the opposite of the prefix nano?

What do you call a triangle having three unequal sides?

This is the measure of central tendency defined as the most frequent score. How do you call this measure of central tendency?

Which of the following is the equivalent of 1 mil?

Any number expressed in place-value notation with base 12 is known as:

Which of the following is true regarding the minimum attractive rate of return used in judging proposed investments?

Which of the following situations has a conventional cash flow so that an internal rate of return can be safely calculated and used?

Which of the following events will cause the optimal lot size, given by the classic EOQ model with no shortages, to increase?

What is the indirect product cost (IPC) spending variance?

Another name for derivative is said to be:

A prefix denoting a multiple of ten times any of the physical units of the system international is:

The father of plane geometry is:

This is the case of a solution of a plane triangle where the given data leads to two solutions. How do you call this case?

It is a type of polygon in which each interior angle must be less than or equal to $$180^\circ$$ , and all vertices point upwards away from the interior. How do you call this polygon?

What do you call the formula used to compute the value of $$n!$$ where $$n$$ is a large number?

When two planes intersect with each other, the amount of divergence between the two planes is expressed by measuring the:

How do you call those products or services that are directly used by people to satisfy their wants?

These are used to produce goods and service. What are these?

How do you call a cylinder with elliptical cross-section?

Which statement about a charge placed on a dielectric material is true?

What is a pole pitch?

Any line segment joining a vertex of a triangle to a point on the opposite side is called as:

How do you call the amount needed at the beginning of operations and permits the enterprise to begin functioning before it receives any income from the sales of its product or service?

When a line $$y = mx + b$$ slope downwards from left to right, the slope $$m$$ is:

Which of the following is not a theorem on limits?

Which of the following Commonwealth Acts is known as the oldest Mechanical Engineering Law?

How do you call a sequence of numbers where the succeeding term is greater than the preceding term?

This is a series of sequential method for carrying out a desire procedure to solve problems.

This is use for expressing wavelengths of light or ultraviolet radiation with a unit or length equal to $$10^{-10}$$ metre.

It is a collection of numbers or letters used to represent a number arrange property in rows and columns.

It is a high-level programming language for the computer used to express mathematical and scientific problems in a manner that resembles English rather than computer notations.

In complex algebra, we use a diagram to represent a complex plane commonly called as:

The area bounded by two concentric circles is called as

The ratio of annual sales to the average of assets used in producing these sales.

$$10$$ to the negative power of $$18$$ is the value of prefix:

"Whenever a net force acts on a body, it produces acceleration in the direction of the resultant force, an acceleration which is directly proportional to the resultant force and inversely proportional to the mass of the body." How do you call this theory?

It is defined that the momentum of a moving object is the product of its mass, $$m$$ and velocity, $$v$$ . In Newton's law of motion, what is the rate of change of momentum with respect to time?

The loss of weight of a body submerged in a fluid is:

The amount of company's profit that the board of directors of the corporation decides to distribute to ordinary shareholders

To be a member of the Board of Mechanical Engineering, he/she must be at least how many years old?

"When a homogeneous, flexible cord is held at the two ends and allowed to sag freely on its own weight, it will produce a curve very similar to a parabola opening upwards." How do you call this curve?

How do you call the line passing through the focus and perpendicular to the directrix of a parabola?

What is the ratio of the distance between the foci to the distance between the vertices in either hyperbola or ellipse?

It is a statement that one mathematical expression is greater than or less than another. How do you call this?

What is the artificial expense that spreads the purchase price of an asset or another property over a number of years?

How do you classify this interest rate, which specifies the actual rate of interest on the principal for one year?

What type of curve is generated by a point, which moves in uniform circular motion about an axis, while travelling with a constant speed, $$v$$ , parallel to the axis.

What do you call the possible outcome of an experiment?

A branch of mathematics which uses the properties of numbers by using symbols or letters to represent numbers in arithmetic operations which usually variables and unknown quantities which usually involves the use and rearranging or equations.

It refers to a straight line, which a curve approaches closely, but never meets or touches the curve.

In a triangle, the length of a line which is equal to the square root of the sides adjacent to the point where this line started minus the product of the segments of the third side is known as:

The whole is greater than any one of its parts. This statement is known as:

A perpendicular segment from a vertex of the triangle to the line containing the opposite side is known as:

An SI unit of area equal to 100 sq. meter.

The angle that the line of sight to the object, makes with the horizontal which is above the eye of the observer, is called as: