A cubical container that measures 50.8 mm on a side is tightly packed with eight marbles and is filled with water. All eight marbles are in contact with the walls of the container and the adjacent marbles. All of the marbles are the same size. What is the volume of water in the container?

A truck starts from rest and moves with a constant acceleration of 6 m/s². Find the speed of the truck after 4 seconds.

A perfect gas is expanded polytropically with an initial volume and temperature of 0.06 m³ and 147 °C respectively. If the final volume and temperature are 0.21 m² and 21° respectively, what is the index of the expansion?

A force of 200 lb acts on a block at an angle of 28" with respect to horizontal. The block is pushed 2 ft horizontally. Find the work done by this force.

Determine the value of each interior angle of a regular pentagon.

What is the effective rate equivalent of 12% compounded quarterly?

A machine was purchased under these terms: P30,000 down and P5,000 each month for 5 years. If money is worth 12% compounded monthly, what is the cash price of the machine?

The salary of an employee's job has five levels, cach one 5% greater than the one below it. Due to circumstances, the salary of the employee must be reduced from the top (fifth) level to the second level, which means a reduction of P3000.00 per month. What is the employee's present salary per month?

How many degrees are 4800 mils?

Determine the amount that must be deposited every 3 months in a fund paying 12% compounded quarterly in order to have P25,000 in 8 years.

The sum of P15,000.00, deposited in an account earning 4% per anmun compounded quarterly, will become P18,302.85. Determine the effective rate of interest per year.

If the specific weight of a liquid is 58.5 lb, per cubic foot, what is the specific volume of the liquid?

What is the value of I radian in degrees?

The atomic weight of hydrogen is 1 gram per gram-atom. What is the mass of a hydrogen atom?

If a machine is purchased on installment and the buyer makes an P80,000.00 down payment and owes a balance of P150,000 in 2 years. Determine the machine cash value if money is worth 14% compounded quarterly.

If the specific weight of a liquid is 58.5 lby per cubic foot, what is the specific volume of the liquid?

A 5 meter extension ladder leans against the wall, the bottom is 3 m from the wall. If the bottom stays at the same place, how much should the ladder be extended so that the top would lean against the wall 1 meter higher?

If the density of a gas is 0.003 slug/ft³, what is the specific weight of the gas?

From a deck of ordinary cards, what is the probability of drawing a heart or face card?

Determine the absolute value of resultant vector of the following vectors: F_{1}=4i+7j+6ki F:=9i+2j+11k. F_{3}=5i -3j-8k.

Find the mumber of years when P2,500.00 is compounded to P5,800.00 if invested at 12% compounded quarterly.

The equation ya ayx is an algebraic expression for which of the following choices?

A car starts from rest and has a constant acceleration of 3 fps. Determine the average velocity during the first 10 seconds of motion

What rate compounded-quarterly is equivalent to 14% compounded semi-annually?

Celestino owes P500, due in 3 years and P800 due in 17 years. He is allowed to settle these obligations by a single payment on the 6th year. Find how how much he has to pay on the year if money is worth 14% compounded semi- 6^{b} annually.

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

If the loan was for 15 months at 16.8% interest a year and the repayment on a loan the principal?

Determine the first derivative with respect to x of the function: g(x)=5√10-35

Given the following vectors: A=3i+2j, B=2i+3j+k. C=Si+2k. Simplify the expression (A\times B)\cdot C

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

If a stone dropped from a balloon while ascending at the rate of 7.5m/s reaches the ground in 6seconds, what was the height of the balloon when the stone was dropped?

Determine the accumulated value of P2,000.00 in 5 years it is invested at 11% compounded quarterly.

Cleofas borrowed P2,000.00 from a bank and agreed. to pay the loan loan at the e end of one year. The bank discounted the and gave him P1950 in cash. Determine the rate of discount