Numerade

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2. (11 points) Find the exact values of the six trig functions of t given that $t = \frac{23\pi}{6}$. Sketch the angle in standard position, then label the appropriate terminal point on the unit circle in the first quadrant, and then use symmetry to determine (and label) the corresponding terminal point on the unit circle in the quadrant where the angle terminates so that you can answer the question.

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Rank the following from most to least reactive toward nucleophilic attack. 1 [Select] Acyl halide Aldehyde Carboxylate ion Carboxylic acid Ketone 2 3 4. [Select] 5. [Select]

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A uniformly charged disk is rotating around an axis that passes through the center of the disk and is perpendicular to the plane of the disk as shown in the figure. The angular speed of rotation is 3.9 rad/s. If the radius of the disk is 1.6 m and the electric charge density of the disk is 4 C/m², what is the dipole contribution to magnetic potential energy (in J) associated with the interaction between the disk and an external magnetic field with a magnitude of 0.4 T aligned parallel to the axis of rotation?

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You are on a ship (100 m in length) travelling north on the deep ocean. There are progressive ocean waves also propagating north, and you note two items of information: 1) when the ship’s bow is positioned at a crest, the stern is at a trough, and 2) a different crest is positioned at the bow every 20 s. What is the ship’s speed?

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A mother has her child clean up the room whenever he "makes a mess." This has been effective in reducing the overall frequency of her child making messes. This procedure is known as: a. Extinction b. Negative Punishment c. Positive Punishment d. Negative Reinforcement

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"Ten small businesses are located in the same strip mall. The heads of these businesses occasionally meet to discuss matters, and can vote to spend some money on the parking lot and landscaping, but otherwise have no say over each other's businesses." To which of the following forms of government is this scenario most similar?

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Suppose $f(x) = 4 + 2x^2$. (a) Simplify as much as possible: $f(\frac{1}{4}) = \frac{33}{8}$ (b) Simplify as much as possible: $\frac{f(1)}{f(4)} = $ (c) Are $f(\frac{1}{4})$ and $\frac{f(1)}{f(4)}$ equal?

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Imagine that if biologist develop a strain of corn with lower fat kind tent by choosing low-fat variants and cross breeding them over several generations this is an example of sexual selection artificial selection stabilizing selection convergent evolution

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A salesman has 8 presentations scheduled for the coming month. Historically, 30% of her presentations have resulted in sales. It is reasonable to assume that her chance of making a sale in any given presentation is not affected by what happens in any other presentation. Find the following probabilities: Answer the following questions based on the scenario: 4.1 What is the probability that he makes 1 sale during the coming month? (5) 4.2 What is the probability that he makes 2 sales during the coming month? (5) 4.3 What is the probability that he makes 3 sales during the coming month? (5) 4.4 What is the probability that he makes no sale during the coming month? (5)

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4.- Halle la matriz $A_T$, el núcleo, recorrido, imagen, rango y la nulidad de la transformación lineal siguiente: $T: \mathbb{R}^3 \to \mathbb{R}^3; T\begin{pmatrix} x \ y \ z \end{pmatrix} = \begin{pmatrix} x - y + 2z \ 3x + y + 4z \ 5x - y + 8z \end{pmatrix}$ (2 puntos)

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angela c.