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Carmen wants to tile the floor of his house. He will need 1,000 square feet of tile. He will do most of the floor with a tile that costs \(\$ 1.50\) per square foot, but also wants to use an accent tile that costs \(\$ 9.00\) per square foot. How many square feet of each tile should he plan to use if he wants the overall cost to be \(\$ 3\) per square foot?

Short Answer

Expert verified

In 800 square feet the tile of type $\$ 1.50$ per square foot is kept and in 200 square feet tile of type $\$ 9.00$ per square foot is kept.

Step by step solution

01

Given information

Carmen wants to tile the floor of his house. He will

need 1,000 square feet of tile. He will do most of the floor with a tile that costs $1.50 per square foot, but also wants to use an accent tile that costs $9.00 per square foot.

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Most popular questions from this chapter

3-5 Show that the output voltagevo
and the input voltage vi for the following circuit are related byvo=viR1+R2R1

Why is this circuit called a voltage follower with gain?

3-9 An operational amplifier to be used in an inverting amplifier configuration has an open-loop gainA=1.0ร—106, an input bias current of5.0nA, a linear output voltage range ofยฑ10V, and an input resistance of1.0ร—1013ฮฉ.

(a) Design an inverting amplifier with a gain of 40 such that the input resistanceis.

(b) Determine the range of usable input voltages for the amplifier in (a).

(c) Find the input resistance of the inverting amplifier designed in (a).

(d) How could you avoid a loading error if the voltage source were loaded by the input resistance found in (c)?

Plot the output voltage of an integrator 1, 3, 5, and 7 s after the start of integration if the input resistor is 2.0 MV, the feedback capacitor is 0.25 ฮผF, and the input voltage is 4.0 mV.

For the following circuit, sketch the outputs at voAand voBif the input is initially zero but is switched to a constant positive voltage at time zero.

The circuit shown next is an integrating type of differentiator based on a circuit originally described
by E. M. Cordos, S. R. Crouch, and H. V. Malmstadt,Anal. Chem.,1968,40, 1812โ€“1818,DOI: 10.1021/
ac60268a018. American Chemical Society

(a) What is the function of operational amplifier 1 ?

(b) What function does operational amplifier 2 perform?

(c) Assume that the input signal is a linearly increasing voltage and the rate of change of this signal is desired. During the first period , switches S1 and S2 are closed and switch \(S 4\) opens. Describe and plot the output during this interval .

(d) During a second consecutive and identical time period , switch opens and closes. Now describe and plot the output during this second interval.

(e) At the end of the second interval, switch S1 opens, disconnecting the input signal. Show that the output voltage at the end of the measurement cycle is given by

(f) What are the advantages and disadvantages of this circuit over the normal operational amplifier differentiator of Figure 3-16d?

(g) What would happen if the input signal were to change slope during the measurement cycle?

(h) What would be the result if the two time intervals were not consecutive but instead were separated by a time delay ?

(i) What would be the result if the two time intervals were of different duration?

(j) The circuit shown above with consecutive time intervals was the basis of several automatic ratemeters used in instruments for measuring enzyme kinetics. The total measurement time for these instruments is . Discuss why it is desirable for to be as long as possible. In measuring enzyme kinetics, what limitations might be imposed if the measurement time is too long? Hint: Refer to part (g), above.

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