Numerade

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Imagine a quantity (x) decreases proportionally relative to the difference between x and three times the quantity y. The differential equation modeling this situation is given below. Note, x and y are both functions of t. $$\frac{dx}{dt} = -k_1(x - 3y)$$ Assume y increases proportionally with the difference between three times x and y. Using $$k_2$$ as the constant of proportionality, write the differential equation modeling the growth of y. Write the differential equation modeling the growth of y here.

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1. State whether the following solutions are acidic, basic, or neutral pH. 6 points 1.a) A 0.020 M aqueous sodium nitrate (KNO3) _________ 1.b) A 0.0020 M aqueous ethylamine (C2H5NH2)________ 1.c) A 0.020 M aqueous ethyl ammonium chloride (C2H5NH3+Cl-)__________

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Does Altheas personal auto policy cover her liability arising out of the use of the rental car to drive to and from work?

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The Legislative Review Unit tracks bills introduced and passed by the State Legislature. The following table illustrates the percentage of bills passed by the Legislature during the most-recent five-year period. Year 1 Year 2 Year 3 Year 4 Year 5 Number % Number % Number % Number % Number % Introduced Passed Introduced Passed Introduced Passed Introduced Passed Introduced Passed Senate 326 43% 243 56% 378 41% 198 65% 397 23% Assembly 312 39% 256 58% 352 42% 178 62% 432 21% 29. Using the information provided above, in what year were the FEWEST number of bills passed in the Legislature? a. Year 1 b. Year 2 c. Year 3 d. Year 5 30. Based on the above information, if the percentage of bills passed by the Senate in Year 4 increased by 12% and the percentage of bills passed by the Assembly in Year 4 decreased by 10%, how many bills would have been passed by the Legislature in Year 4? a. 229 b. 239 c. 244 d. 271

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A 19 cm long metal rod is oriented horizontally in a uniform magnetic field with magnetic flux density of 552 G. The magnetic field is directed vertically down into the ground. A current of 30 A is passed through the rod. Neglect the magnetic field of earth at the location of this apparatus. Determine the magnitude of magnetic force on the rod in the units of N. Write your answer in decimal form with three digits to the right of the decimal point (e.g. 5.374); do not write any units. Correct!

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5) The impulse response of the channel modeled as an LTI system is given as $h(t) = 5\delta(t - 10)$.\\ a) Find the transfer function of the system and sketch the amplitude and phase spectrums.\\ b) If the signal $x(t) = 10 + 10t \text{sinc}(t)$ is applied to the input of the system, what will the output signal be?\\ c) If the input signal is $x(t) = 20 \cos(2000\pi t) + 10\sin (4000\pi t)$, find the power spectral density (PSD) of the $x(t)$.\\ d) If the input signal is $x(t) = 20 \cos(2000\pi t) + 10\sin (4000\pi t)$, find the output signal $y(t)$ and its PSD function.\\ e) Find the autocorrelation function of the output signal.\\ f) Find the output power using both autocorrelation function and PSD function.

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An eagle, m = 5 kg, accelerating at 5 m/s² experiences a force F of... O 25 N O 25 Dynes O 9.8 N O 250 N

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Option 2: Calculate the square root of 144 and express the result in simplest radical form. Option 3: Identify and correct any errors in the following sentence: "The students' test scores were higher then expected, which pleased the teacher."

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I2(s) + OCl?(aq) ? IO3?(aq) + Cl?(aq) Referring to the equation above, what is the oxidation number of Cl in OCl?(aq)?

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Determine the centroid of the shaded area from the top edge of the section (a = 20 inches).

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eugenia s.