Estimate the actual bucket load in bank cubic meters for loader bucket whose heaped capacity is 3.82 m3. The soil's bucket fill factor is 0.9 and its load factor is 0.8.

Initially, the number of bacteria present in a culture is No. At t = 1 hour the number of bacteria is measured to be 3/2 No. If the rate of growth is assumed to be proportional to the number of bacteria present, determine the time necessary for the number of bacteria to triple.

The distance between the entrance and exit points on a horizontal circular roadway curve is 747 ft. The radius of the curve is 400 ft. Determine the central angle between the entrance and exit points.

It is known that 80 percent of all families won a television set. If 10 families are interviewed at random, find the probability that 7 families own a television set.

The probability that a freshman entering a university will graduate after a four-year program is 0.6. If 1000 students enroll at university, find the standard deviation of the number of students who graduated.

Megan is a recent civil engineering graduate. One of her first job is to calculate a bridge cost using the following data. The first cost will be $49,000, the annual operating costs for energy and maintenance will be $15,000, the expected life in 10 years, the expected salvage value is 0 and the firm's interest rate is 9%. What is EAC?

The maximum volume that can be placed in the bucket without spillage based on a specified angle of repose for the material.

A 4-degree simple curve has an angle of intersection of 24 degrees. Find the length of the chord. Use arc basis.

Find the angle between the planes 4x-2y+6z-11=0 and 15x+10y-5z+31=0.

A 3D printer costing P 100,000 has a salvage value of 10% of the original cost after 8 years. It has produced 100 3D models per year in the first four years and 80 units per year thereafter. Determine its book value in its 5th year of service using service output method.

ABC Corporation had been mailing out coupons for a clearance sale at a constant rate for 4 days, when they counted the coupons they still had mail out and discover they had 120,000 left. After 7 total days of work they had 75,000 left. At what rate (coupons per day) are they mailing coupons out?

Two angles of a triangle are 103.2º and 43.3º. The side opposite the obtuse angle has length 2.7. Find the sum of the other two sides.

Find the value of the given sum.

$$\cos⁡0/(e^0\times0!)+\cos⁡1/(e^1\times1!)+\cos⁡2/(e^2\times2!)+⋯$$

Mayweather can make 7 breads in 54 hours, Pacquiao can make 7 breads in 16 hours, and Donaire can make 5 breads in 26 hours. How long can they make 9 breads together?

It is an informal group discussion that focuses on a particular safety issue. These can be used daily to promote department safety culture as well as to facilitate health and safety discussions on job sites is known as:

Any structure built into the seat but not parallel to the coastline and includes any stage, stair, landing stage, jetty, floating barge or pontoon, and any bridge or other works connected therewith. A berth structure projecting out from the shoreline.

A crawler tractor weighing 36 t is towing a rubber-tired scraper weighing 45.5 t up a grade of 4%. What is the total resistance kg of the combination if the rolling resistance factor of the scraper is 50 kg/t?

When a family of four with a total mass of 200 kg step into their 1200 kg car, the car spring compresses 3 cm. Assuming that they act as a single spring, how far will the car lower if loaded with 300 kg rather than 200 kg?

How large must the coefficient of static friction be between the tires and the pavement if the vehicle can round a level curve of radius 85 m at a speed of 95 kph?