Numerade

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c. Length (in minutes) of the longest telephone call made in a year is what kind of variable? A. This variable is a continuous numerical variable that is ratio-scaled. B. This variable is a categorical variable that is ordinal-scaled. C. This variable is a discrete numerical variable that is interval-scaled. D. This variable is a categorical variable that is nominal-scaled. E. This variable is a continuous numerical variable that is interval-scaled. F. This variable is a discrete numerical variable that is ratio-scaled.

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The range of a data set is calculated by: (a) Adding all the values (b) Dividing the sum by the number of values (c) Subtracting the smallest value from the largest value (d) Multiplying the mean by the standard deviation

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Circles can communicate... Choose all that apply. 1 point Balance Innocence Masculinity Safety

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ata mining applications are used to accomplish all of the following tasks except perform what-if-analysis make predictions. facilitate decision making. update databases.

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Consider the differential equation y''' - y'' - 4y' - 6y = 0. (a) The corresponding characteristic equation for this differential equation has $r = 3$ as a root. Divide the characteristic equation by the factor $r - 3$ using long-division and find the other two roots. (b) Write the general (real-valued) solution to this differential equation. (c) Use the Wronskian to verify that the fundamental solutions $y_1$, $y_2$, and $y_3$ used in your general solution are linearly independent. (d) Find the particular solution to the initial value problem y''' - y'' - 4y' - 6y = 0, $y(0) = 1$, $y'(0) = -1$, $y''(0) = 2.$

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Find the derivative of the function $h(x) = \sin(e^{9x})$. $h'(x) = $

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(20%) Problem 5: A current of $I = 2.7 A$ passes through the circuit shown, where $R = 97 \Omega$. 50% Part (a) In terms of $R$, $I$, and numeric values, write an expression for the voltage of the source, $V$. 50% Part (b) What is the voltage, $V$ in volts?

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(17%) Problem 6: Consider a rigid steel beam of length L = 11 m and mass m? = 396 kg resting on two supports, one at each end. A worker of mass m = 77 kg sits on the beam at a distance x from support A. Refer to the figure, though note that it is not drawn to scale. 33% Part (a) Enter an expression for the force support B must exert on the beam in order for it to remain at rest, in terms of defined quantities, x, and g. $F_B=(1/L)(mgx+m_bg(L/2))$ Correct! 33% Part (b) When the worker sits at a distance x = 7.5 m from support A, calculate the force, in newtons, that support B must exert on the beam in order for it to remain at rest. Use g with three significant figures. $F_B = 2454.9$ $F_B = 2455$ Correct! 33% Part (c) The force exerted on the beam by support A is measured and found to be $F_A = 2270$ N. At what distance x, in meters, from support A is the worker sitting now? x = 9.6

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5. We used velocity triangles to determine the work per unit mass done on the flow by both axial and centrifugal compressors. In the context of the velocity triangle analysis, how is the work done on the flow by an axial compressor the same as the work done on the flow by a centrifugal compressor? (hint: think of the $W_{net}$ equation)

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Given the enthalpies of combustion of propane ($C_3H_8$), carbon and hydrogen, $C_3H_8(g) + 5O_2(g) \rightarrow 3CO_2(g) + 4H_2O(l)$ $\Delta H^\circ = -2219.9$ kJ $C(s) + O_2(g) \rightarrow CO_2(g)$ $\Delta H^\circ = -393.5$ kJ $2H_2(g) + O_2 \rightarrow 2H_2O(l)$ $\Delta H^\circ = -571.6$ kJ Calculate the enthalpy of formation of propane. The reaction is shown below. $3C(s) + 4H_2(g) \rightarrow C_3H_8(g)$ a) -103.8 kJ b) 1255 kJ c) 467.8 kJ d) 3185 kJ

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allison b.