Numerade

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Direct costs must be allocated across departments. True False Direct costs must be allocated across departments. True False

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At a certain moment, a moving particle has velocity v = (2,2,-1) and acceleration a = (0,4,3). Consider the following solution to find T, N, and the decomposition of a into tangential and normal components. Given T compute v \frac{v}{||v||} $T = \frac{(2,2,-1)}{||v||} = \frac{(2,2,-1)}{\sqrt{2^2 + 2^2 + (-1)^2}} = \frac{1}{3}(2,2,-1)$ Compute N with $N(t) = \frac{T'(t)}{||T'(t)||}$ $N = \frac{T'}{||T||} = 0$ Therefore, the components are $a^T = a \cdot T = (0,4,3) \cdot \frac{1}{3}(2,2,-1) = \frac{5}{3}$ $a^N = 0$ Which of the following, if any, have not correctly been computed. (Select all that apply.) $\boxed{a^T}$ $\boxed{N}$ $\boxed{a^N}$ $\boxed{T}$ Find the decomposition of a in terms of T and N. (Enter an exact answer. Use the variables $T$ for T and $N$ for N.) a = $a^N N + a^T T = $

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An inverted cone (base above the vertex) is 5 m high and has a base radius of $\frac{1}{4}$ m. If the tank is full, how much work is required to pump the water to a level 4 m above the top of the tank? Set up the integral to find the work required to pump all of the liquid 4 m above the cone, assuming the vertex of the cone is the origin. $W = \int_0^\square \square \,\text{d}x$ (Type an exact answer, using $x$ as needed. Use integers or fractions for any numbers in the expression.) The amount of work required is $\square$ J. (Use scientific notation. Round to two decimal places as needed.)

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1. A person invests $2560 in an account that earns 5.2% annual interest. Find when the value of the investment reaches $6000. •Online Homework Hints and Help Extra Practice 2. A person invests $1800 in an account that earns 2.46% annual interest. Find when the value of the investment reaches $3500. 3. Emmanuel invests $3600 and Kelsey invests $2400. Both investments earn 3.8% annual interest. How much longer will it take Kelsey's investment to reach $10,000 than Emmanuel's investment? 4. Jocelyn invests $1200 in an account that earns 2.4% annual interest. Marcus invests $400 in an account that earns 5.2% annual interest. Find when the value of Marcus's investment equals the value of Jocelyn's investment and find the common value of the investments at that time. 5. A person invests $350 in an account that earns 3.65% annual interest compounded semiannually. Find when the value of the investment reaches $5675. 6. Molly invests $8700 into her son's college fund, which earns 2% annual interest compounded daily. Find when the value of the fund reaches $12,000.

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8) An RLC circuit in which R = 850? and C = 870 nF is connected to an AC power supply with a fixed voltage and a variable frequency. The inductance L is not known. When the frequency is adjusted we find that the rms current reaches a maximum of I = 140 mA when the generator frequency is at 255 Hz. Determine the inductance rms voltage of the generator.

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Draw the block diagram of the position control system shown in Fig. 1. The input angular displacement $\theta_i$ and the output linear displacement $y$ are converted to electrical signals throughout two potentiometers of constant $K_p$. The error signal is amplified by the controller of constant $K_a$ (V/V). The solenoid has resistance $R(\Omega)$, inductance $L(H)$, force constant $K_f(N/A)$, and the back emf constant $K_v(Vs/m)$. The solenoid with a shaft has a mass of $M(kg)$ and the mechanical system with spring of constant $k(N/m)$, and damper of constant $B(Ns/m)$. The input signal displacement of hydraulic servomotor is $x$ and the output is $y$. Determine the transfer function (TF) $(\frac{y}{\theta_i})$

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Give me all answers. 20. Accumulated depreciation at the fiscal year end of 2022 is (3 marks) a) $17,400 b) $17,700 c) $17,790 d) $18,390. 21. Hogwart Corporation's books revealed the following for 20X2 and 20X1: 20X2 20X1 Cash $27,750 $21,250 Accounts receivable $42,000 $37,500 Inventory $72,250 $61,600 Other prepaid expenses $12,500 $12,500 Accounts payable $41,250 $38,000 Other current payables $13,000 $15,000 Shareholders' equity $100,250 $79,850 Sales $525,000 $450,750 Cost of goods sold $300,000 $240,750 Operating expenses $70,000 $65,000 Net income The number of days to collect the average receivable in 20X2 was a) 28 days b) 29 days c) 30 days d) 31 days. 22. A business purchased merchandise at the cost of $35,000 on terms of 2/10 n/30 FOB shipping point. Afterwards, it returned $500 of inventory to its supplier. If the business paid within the discount period, how much did it pay to its supplier? a) $32,380 b) $33,810 c) $34,500 d) $35,000 e) $31,530.

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for an example of a continuous, nowhere-differentiable function. Such an example will probably be more meaningful in light of the contents of this chapter. 11. If $\{f_n\}_{n=1}^{\infty}$ is a sequence of continuous functions that converges pointwise to f on [a, b], then there is at least one point $x_0 \in (a, b)$ such that $\{f_n\}_{n=1}^{\infty}$ converges uniformly at $x_0$. Search the literature for a proof of this theorem. 12

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Convert 1-butene into hexanal. Convert 1-butene into cis-3-hexene. Convert 3,3-dimethyl-1-butanol into 3,3-dimethyl-1-butyne. Draw the compounds. Note where the changes from reactant to product occur. Create a plan - usually from product towards the reactant. Use the knowledge of substitution, elimination, and addition reactions with the associated conditions to create a synthesis pathway. Clean it all up into one cohesive answer.

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4) Write an expression for the sequence of operations described below. add 9 to the product of t and 3 Do not simplify any part of the expression.

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