Numerade

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Write the complex number 4 in polar form. a) $4(\cos 0 + i \sin 0)$ b) $4(\cos \frac{5\pi}{3} + i \sin \frac{5\pi}{3})$ c) $2(\cos \frac{5\pi}{4} + i \sin \frac{5\pi}{4})$ d) $4(\cos \frac{7\pi}{6} + i \sin \frac{7\pi}{6})$

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The amount of time to complete a physical activity in a PE class is approximately normally distributed with a mean of 38.1 seconds and a standard deviation of 5 seconds. Enter decimal answers rounded to 4 decimal places for a-c, 1 place for part d. a) What is the probability that a randomly chosen student completes the activity in less than 34.3 seconds?

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QUESTION 43 The isotope $^{238}_{92}U$ is radioactive and decays in a series to $^{226}_{90}Th$. In this series, the particles ejected from the nucleus are O one alpha particle and three beta-minus particles. O three alpha particles and one beta-minus particle. O one alpha particle and four beta-minus particles. O four alpha particle and one beta-minus particle. O two alpha particles and two beta-minus particles.

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Question 59 1 pts Software requirements is an essential part of the software development life cycle, so it should be done first before any other phases True False

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Rank the membrane permeability of the molecules from most permeable to least permeable. small uncharged polar molecules > small nonpolar molecules > large uncharged polar molecules > large neutral macromolecules small nonpolar molecules > small uncharged molecules > large uncharged polar molecules > large neutural macromolecules small nonpolar molecules > small monoatomic ions > small uncharged molecules > large neutral macromolecules small monoatomic ions > small nonpolar molecules > small uncharged molecules > large neutral macromolecules

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Sarah and Katherine brought together 2 different materials (A and B). After some tests, they discovered that A has a greater refractive index than B. Sarah pointed a red laser at the interface between these two materials in a number of ways, as shown below. The dashed lines denote the normals to the interfaces. Which one of the drawings shows a situation that could not ahve been observed by Sarah and Katherine?

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Given $f(1) = 2$, $f'(1) = -9$, $f''(1) = 12$, $f'''(1) = -23$, and $f^{(4)}(1) = 25$ find the Taylor Polynomial of $f(x)$ of degree 4 around $a = 1$.

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QUESTION 1 All of the following are possible adverse effects of an opioid overdose. Which of those listed are considered the most serious? - Dizziness - Respiratory depression - Severe sedation - Constipation

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You observed an organism under a light microscope and concluded that it was a eukaryotic algae. Which of the following helped you make that decision? You believe it looks about 2 µm in size, which is the proper size for a eukaryote. It is green in color indicating that it contains chlorophyll and can do photosynthesis. It was identified in a freshwater pond, and algae are the only microbes that live in ponds. It is circular, which is the defining shape of an algae.

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Question 19 Object is in equilibrium if net force and net torque is zero object is moving at a constant speed. All of the options. object is stationary

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