Numerade

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The phase of the business cycle that refers to the period of time which an economy is contracting, commonly defined as six or more consecutive months declining in real GDP is the Question 16 options: 1) Recovery 2) Peak 3) Recession 4) Trough

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A company had net sales of $545,000 and cost of goods sold of $345,000. Its gross margin equals $890,000. O True O False

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Find a plane containing the point (4, -4, 2) and the line of intersection of the planes $4x - 6y + 3z = 32$ and $5x + 3y + 6z = 16$

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4. Let W be a subspace of $C^n$ and \{$\vec{u}_1$, ..., $\vec{u}_k$\} be an orthonormal basis of W. (a) Show that for all $\vec{v}$ ? $C^n$ there exists $\vec{w}_1$ ? W and $\vec{w}_2$ ? $W^?$ such that $\vec{v} = \vec{w}_1 + \vec{w}_2$. (b) Prove that $W \cap W^? = \{0\}$. (c) Prove that dim(W) + dim($W^?$) = n.

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vi. The mean Effective Pressure of cycle (3 marks) 5. A single stage-single acting air compressor has a bore of 200 mm and stroke of 300 mm. It runs at 420 rpm and the clearance to swept volume ratio is 0.065. The index of compression can be assumed as 1.3. The intake pressure is 100 kPa and intake temperature is 27°C. Delivery pressure is 500 kPa. Determine: a. Free Air Delivery at NTP in m³/hr (4 marks) b. Delivery air temperature (4 marks) c. Volumetric efficeincy (4 marks) d. Power required (4 marks) e. Isothermal efficiency (4 marks) (Hint: NTP - Normal Temperature and Pressure - air at 20°C and 1.01325 bar)

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6X \text{Ø}0.14 \text{Ø}0.26 X 82° \text{Ø}2.12

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What is the frequency of a light beam which has a wavelength of 0.66 μm?

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For the op amp circuit in the given figure, $V_s = 1.3\angle50^\circ V$. Find the average power absorber by the 20k$\Omega$ resistor. The average power absorber by the 20k$\Omega$ resistor is ____ $\mu W$ (Calculate to 2 decimal places)

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Q.3 Determine the thermal conductivities at 300 degree Celsius for the materials shown in Table Q3 in the SI units. Table Q3: Thermal conductivities of the given materials 300 K No Material K (W/m.K) 1 Hardwood(siding) 2 Hardwood(oak) 3 Glass fiber, paper faced(28 kg/m³) 4 Gypsum(vermiculite) Wall wood 5 Glass wool 6 Window glass 7 Pyrex 8 Magnesia (85%) 9 Silicon dioxide(fused silica) 10 Glass mats for cryogenic application at 150 K 11 Silica powder(evacuated) 12 Carbon steel(0.5%C) 13 Air 14 Multilayer insulation (evacuated)

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A single intravenous injection of 1.5 mg/kg of drug A is administered to a 33 year-old male subject (Weight = 80kg). The following plasma concentrations are collected: \begin{tabular}{|c|c|} \hline Time (hours) & Conc. ($\mu$g/mL) ($C$)\\ \hline 1 & 1.26 \\ 2 & 1.06 \\ 4 & 0.75 \\ 8 & 0.38 \\ 12 & 0.19 \\ 24 & 0.02 \\ \hline \end{tabular} From the data provided Calculate the following: \begin{tabular}{|l|l|} \hline Parameter & Value Units \\ \hline $C_0$ & \\ K & \\ V & \\ $t_{1/2}$ & \\ AUC$_\infty$ & \\ CL & \\ $C_{\infty}$ & \\ X & \\ Fraction of dose @12h & \\ Number of $t_{1/2}$ to eliminate 90\% of dose & \\ \hline \end{tabular} Predict the following: $C_0$ for a 6 mg/kg dose The plasma concentration @ t = 12 h for the 6 mg/kg dose Fraction of dose @12h

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sylvia n.