Numerade

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Find the area of the triangle having vertices at P(1,3,2),Q(-2,1,3) and R(3,-2,-1).

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Researchers discover an enzyme that catalyzes the reaction X = Y. They find that the Km for the substrate X is 4 uM, and the kcat is 20 min-1. In experiment 1, [X] is 6 mM, and Vo is 480 nM min-1. What was the [E] used in the experiment? nM In experiment 2, [E] = 0.5 uM, and the measured Vo = 5 uM min-1. What was the [X] used in the experiment? [X]= The researchers discover that compound Z is a very strong competitive inhibitor of the enzyme. In experiment 3, the researchers use the same [E] as in experiment 1, but a different [X]. They then add an amount of Z that produces an a of 10 and reduces Vo to 240 nM min-1. What is the [X] in this experiment? [X]= Based on the kinetic parameters given, has this enzyme evolved to achieve catalytic perfection? Why or why not? Kcat is above the diffusion-controlled limit. K_ The enzyme has achieved catalytic perfection because Kcat is above the diffusion-controlled limit. Kcat is below the diffusion-controlled limit. The enzyme has achieved catalytic perfection because K The enzyme has not achieved catalytic perfection because ket is below the diffusion-controlled limit. The enzyme has not achieved catalytic perfection because

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From rest to moderate intensity, what explains the decreased ESV? decreased afterload Frank-Starling Mechanism decreased EDV increased sympathetic adrenal response increased filling time

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A24 hw4 chain rule: Problem 3 1 point) Find the implicit equation of the tangent plane to $z = e^y + x + x^2 + 9$ at the point $(5, 0, 40)$. $-5 = 5x + y - z$

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1. $x^2 - 4x + y^2 + z^2 = -\frac{15}{4}$ 2. $x^2 + y^2 + (z + 1)^2 = \frac{9}{4}$ 3. $x^2 - 4x + y^2 - 4y + z^2 - 2z = -\frac{35}{4}$ 4. $x^2 + y^2 + z^2 = 4$

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A. Energy Balance: A basement is unfortunately flooded with liquid (water) of density $\rho$. You need to pump the liquid out of the basement thru a window that is at h = 1 m high at a volumetric flow, Q = $1.2 \times 10^4$ cm$^3$/s using a pimp of power P. Assume that, frictional loss due to viscous effects, F = U$^2$/2, where U is the output velocity. The acceleration due to gravity g = 10 m/s$^2$ and density of water is 1 g/cm$^3$. (a) Label the input and output points to calculate the power of the pump, P in terms of U, Q, h, $\rho$, and g. (b) Using the numerical values given, calculate the output velocity, U for a 180 W pump (which is about 1/4 HP). Assume the efficiency of the pump to be 100%. Pay attention to the sign. (c) BONUS: Calculate the diameter of the tube, D.

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Which of the following factor(s) should be considered when calculating nutrient intake and developing a meal plan for an athlete? travel, weekly training schedule, access to food, living environment

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Question 4 (16) 4.1. List and briefly explain five possible challenges that can hinders a school or teachers to effectively use technology for teaching and learning in the Intermediate Phase (10)

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4. Let $ g(x, y)=F(f(x, y)) $, where $ f $ and $ F $ are continuously differentiable with $ F^{\prime}>0 $. Prove that $ \left(x_{0}, y_{0}\right) $ is a stationary point for $ f $ iff it is a stationary point for $ g $. 5. Give an example of a discontinuous function $ g $ of one variable such that the set $ \{x:: g(x) \leq 1\} $ is not closed.

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Question 32 Assume we create a class called Student that only has the following methods below. __init__ __str__ Student is a mutable type - True or False? True False 1 pts

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hayden n.