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Find k so that the line through (4,5) and (k,9) is a) parallel to $$5y - 4x = 1$$ b) perpendicular to $$4y + 3x = 9$$ If the line is parallel to $$5y - 4x = 1$$, then k =

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Question 3 (1 point) A necessary condition for market power to exist for a particular company is that: O effective barriers to entry must exist. O consumers perceive all products as homogeneous. O the number of firms is over 150. O information must be understood by both buyers and sellers.

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DIFFUSION The same concentration of these two molecules are placed on an agar surface. The numbers represent how far they moved in the 3 hour time frame. POTASSIUM PERMANGANATE 15mm METHYL ORANGE 5mm Explain what happened and why they moved different distances. (1 point)

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You are the CEO of an Electronic Components Manufacturing Company. write on why you feel that your product will give your consumer a high level of utility, considering that utility is the satisfaction that your consumer receives from using your products.

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The 3rd leading cause of death is suicide in 10- to 19-year-olds. Group of answer choices: delinquency, car accidents, suicide, peer fighting.

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Given $x^y = y^x$, find $\frac{dy}{dx}$.

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The ______ has the power to change the meaning of due process. President House of Representatives Supreme Court Senate

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After sustaining a head injury in a car crash, the driver is experiencing ringing in their ears and some short-term memory loss. Which lobe of the brain has likely been impacted by the crash? A. Parietal lobe B. Temporal lobe C. Frontal lobe D. Occipital lobe

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Written Problems for Sections 9.4 - 9.5 1. Suppose that a population develops according to the logistic equation $\frac{dP}{dt} = 0.5P - 0.0025P^2$ where $t$ is measured in weeks. (10 points) a) What is the carrying capacity? (2 pts) b) For what interval is the population increasing? (1 pt) c) For what interval is the population decreasing? (1 pt) d) Find the general solution for $P(t)$. (3 pts) e) Find the particular solution for $P(0) = 500$. (3 pts)

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Estimate 1254+192+425 by first rounding each number to the nearest hundred

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