A compound machine is constructed by attaching a lever to a pulley system. Consider an ideal compound machine consisting of a lever with an IMA of 3.0 and a pulley system with an IMA of 2.0. a. Show that the IMA of this compound machine is 6.0. b. If the compound machine is 60.0 percent efficient, how much effort must be applied to the lever to lift a 540-N box? c. If you move the effort side of the lever 12.0 cm, how far is the box lifted?

A $0.3664-\mathrm{g}$ sample of a monoprotic acid was dissolved in water and required $20.27 \mathrm{~mL}$ of a $0.1578$ ${M}$ $\mathrm{NaOH}$ solution for neutralization. Calculate the molar mass of the acid.

The resale value of a certain industrial machine decreases over a 10-year period at a rate that changes with time. When the machine is x years old, the rate at which its value is changing is 220(x - 10) dollars per year. By how much does the machine depreciate during the second year?

Calculate, to four decimal places, the first eight terms of the recursive sequence. Does it appear to be convergent? If so, guess the value of the limit. Then assume the limit exists and determine its exact value. $a_{1}=1, a_{n+1}=\frac{1}{2} a_{n}+1$

Verify the identity.

$$\sin (u+v)+\sin (u-v)=2 \sin u \cos v$$

Laurel Cleaners purchased an automatic dry cleaning machine for $165,000 from TGF Corporation on April 1, 2019. Laurel paid$25,000 in cash and signed a 5-year, 10% note for $140,000. Laurel will pay interest on the note each year on March 31, beginning in 2020. Transportation charges of$4,250 for the machine were paid by Laurel. Laurel also paid $1,500 for the living expenses of the TGF installation crew. Solvent, necessary to operate the machine, was acquired for$1,000. Of this amount, $800 of the solvent was used to test and adjust the machine.

Required:

1. Compute the cost of the new dry cleaning machine.

2. Explain why you excluded any expenditures from the cost of the dry cleaning machine.

use the Binomial Theorem to expand and simplify the expression.

$$(c + d)^3$$

In this exercise, set up appropriate equations and solve the given stated problems. All numbers are accurate to at least two significant digits.

One automatic packaging machine can package 100 boxes of machine parts in $12 \mathrm{~min}$, and a second machine can do it in $10 \mathrm{~min}$. A newer model machine can do it in $8.0 \mathrm{~min}$. How long will it take the three machines working together?

Draw a machine diagram for the function.

$$f(x)=\frac{2}{x}$$

Be sure to include comments with any Turing machine definition. Find a Turing machine to accept the set of nonempty strings of well-balanced parentheses. (Note that (( )(( ))) is well balanced and (( )(( )) is not.)

You have 36 red apples and 42 green apples. What is the greatest number of Identical fruit baskets you can make with no apples left over? F. 6 G. 9 H. 12 I. 18

At the beginning of the year, a company predicts total overhead costs of $560,000. The company applies overhead using machine hours, and estimates it will use 1,400 machine hours during the year. What amount of overhead should be applied to Job 65A if that job uses 13 machine hours during January?

How does a compound machine do work?

Use the binomial theorem to expand the expression.

$$( c + d ) ^ { 5 }$$