In the 2011 film Fast Five, the fast five steal a bank vault. A quick search gives the average mass of a bank vault to be in the area of 45,000 𝑘𝑔. In the film, they’re pulling with a couple of Dodge Chargers, which, despite having serious horsepower, have a relatively low towing capacity of 453 𝑘𝑔 each. There’s no way these will do the job, but let’s pretend they can. The coefficients of static and kinetic friction between steel (for the vault) and concrete (for the road) are 𝜇𝑠 = 0.65 and 𝜇𝑘 = 0.40 . Of course, the crew doesn’t necessarily think everything through, so they affix their cables at a downward angle of 10∘, as shown. a. How much force does it take to get the vault moving? Just a bit later, they turn a corner while towing this vault. The cables they’re using have a length of 20 𝑚 and they’re moving at a speed of 30 𝑚𝑝h (13.4 𝑚⁄𝑠) as they take the turn. For this part, don’t worry about the angle in the rope; we’ll assume things have slipped a bit and the rope is now horizontal. You can also assume that the frictional force during this turn is in its most helpful orientation, so take friction to point in the same direction as tension. b. How much tension in the cable?
Solve this function for me: g (x) = a log4 (b(x - h)) + k . It passes through the points (x,y) (5, 4.5) and (13, 3.5)
• Merchandise is purchased on open credit for $800,000. • $100,000 is returned to suppliers, the amount of which is credited to our account. • Suppliers grant rebates on account of the debt for $50,000. • Suppliers are paid $400,000. • Merchandise is purchased on credit for $950,000, for which a 30-day promissory note is signed. • The previous purchase is returned to its suppliers for $70,000. • Suppliers grant discounts on the last purchase of $80,000, which they credit to the account. • Suppliers are paid $500,000.
In a study for a new medicine, supposed 3/8 the participants experience headaches as a side effect 1/20 other participants experience nausea as a side effect and 13/40 of the participant experience both headaches and nausea. Esther affect as part and be below. Determine the fraction of study, put participants who experience either a headache or nausea as a side effect by valuating 3/8+1/20- 13/40expressed to fractions in lowest terms If there were 2400 participants in the study, determine the number who experienced either headache or nausea as a side effect the number of participants that experience either headache or nausea as a side effects is
About 60% of US full-time college students drink alcohol within a one month period. You randomly select six US full-time college students. Find the probability that the number of US full-time college students who drink alcohol with a one month Is exactly 2.
The scr is going to contribute 195 to help set up the vegetable garden which is 65% of the total cost how much will the garden cost in total. You must show full working out.
From point A, a perpendicular AC and a slope AB are drawn to plane a A.D. Find the length of the slope AB, IF
If the area of the rhomboid measures 36m square and its base measures 12m. Its height measures
Artificial turf is being used to cover a playing field. If the field is rectangular with a length of 120 yd and a width of 80 yd, how much artificial turf must be purchased to cover the field?
Write an equation as part of solving the problem. The operating speed of a personal computer is 50 gigahertz. This is one-fourth the speed of a newer model. Find the speed of the newer personal computer.
A credit card company offers an annual 2% cash-back rebate on all gasoline purchases. If a family spent $7200 on gasoline purchases over the course of a year, what was the family's rebate at the end of the year?
The dosage of a cold medication is 2 mg for every 60 lb of body weight. How many milligrams of this medication are required for a person who weighs 195 lb? mg
A bathroom measure 10 1/2 by 8 1/4 feet. New tile costs $12 per square foot. How much will cost to retile the bathroom?