a formula for the linear relationships whose graphs are described below. The graph of the relationship that passes through the point (4,−15.8) and the change in yy is always -3.7 times as large as the change in x .     A relationship where the constant rate of change of y with respect to x is 1/4 and passes through the point (−3/5, 2/11).

Q: If a person's temperature after x hours of strenuous exercise is T(x) = x3(7 x2) + 98.6 degrees…

A:

Q: Let y represent the temperature (in °C) of an object in a room whose temperature is kept at a…

A: As per our guidelines, we can answer only one question in a single request. Kindly re-post the other…

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A: Topic:- application of derivatives

Q: Calculate y e-(x-3)-

A: Given,            y=e-x-3-x

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A:

Q: Find a formula in each part below for the number of zebra mussels in a bay as a function of the…

A: Find out the formula for linear and exponential growth.

Q: Q2: The population of a state is known to grow at a rate proportional to the number of people…

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Q: A new building that costs $1,000,000 has a useful life of 100 years and a scrap value of $200,000.…

A: Initial time = t=0  Final time = 100 years So the points are (0, 1000000) and (100, 200000) Then we…

Q: The pressure of one mole of an ideal gas increases at the rate of 0.005 kPa / s and the temperature…

A:

Q: Q1. In a study of Bacterial Growth, it is assumed that, a culture initially has Po number of…

A: This is Separable differential question

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A: Let's find.

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A:

Q: For a certain square, the side is increasing at the rate of 2 mm/s. At what rate is the perimeter of…

A: We know       Perimeter (P) = 4 × ( side of square)

Q: Find the average rates of change of C(x) (i) from x = 100 to x =103 and (ii) from x =100 to x = 101.…

A: The profit Px you get from fixing x devices is given by the equation Px=-1000+12x+0.05x2.

Q: The concentration, C in parts-per-thousand (ppt), of a pollutant in a river during the manufacturing…

A:

Q: 1. Given the equation, y = 30(1.25- .5)^x; does it represent growth or decay? What is the rate of…

A:

Q: The metabolic rate r (in kilocalories per day) of any mammal can be modeled by using the formula r =…

A: An exponential function is a function in which the independent variable is present as an exponent.…

Q: second. Consider the relationship between Jose's distance d east of the mailbox (in feet) in terms…

A: Given that the speed of Jose.  And we know that speed = change is distance / change in time put and…

Q: A certain bacteria culture is observed to double its amount after 150 minutes it was initially…

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Q: Given a revenue function R(x)=1,000+x2−e2x, calculate the average revenue when x=3. Give your…

A: Given: Revenue function given by: R(x) = 1000 + x2 - e2x To Find: Average Revenue when x = 3 Formula…

Q: Q1. In a study of Bacterial Growth, it is assumed that, a culture initially has Po number of 5…

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Q: certain culture of bacteria, the rate of increase is proportional to the numberpresent. (a) If it is…

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Q: A mountain climber uses the model T = 20 – 10h | to estimate the temperature T (in °C) at elevation…

A: T=20-10h a). When h=0, T=20-100=20 When h=1, T=20-101=10 When h=2, T=20-102=0 When h=3, T=20-103=-10…

Q: If x + y represents a motorboat's rate with the current, in miles per hour, its distance after 4…

A: If x+y represents a motorboat’s average velocity with the current, in miles per hour, its distance…

Q: Consider the constant rate of decrease of a certain microorganism. At the start, there are 50000…

A: Given query is to find the population of microorganisms after 50 second.

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A:

Q: The sales decay for a product is given by S = 50,000 e -0.8x, where S is the monthly sales and x is…

A: Consider the given question,(1)The sales 4 months after the end of the campaign is find as,

Q: 5. If P pounds per square foot is the atmospheric pressure at a height of h feet above sea level,…

A: P=2116e-0.0000318hFormuladdxex=ex

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A: topic - exponential function

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Q: The behaviour of a certain gas is described by the van der Waals equation 0.02T P = V – 0.007 V2…

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Q: a). A drug in the blood stream decays by according to the equation y'=ky, where y is the…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: Suppose a car driven by Emma G. passes a crosswalk while driving at a constant speed of 5 meters per…

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Q: Suppose the value of yy and the value of xx vary together at a constant rate of change (so that…

A:

Q: For the function y=x√ find the values of x for which the rate of change of y with respect to x is 6?…

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Q: For which value of x is the instantaneous rate of change in the function graphed below negative? 2 1…

A:

Q: A body whose temperature is 180°C is cooled by immersing in a liquid at 60°C. In one minute, the…

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Q: constant rate of 10 meters per second, and the volume is increasing at a rate of 1499 cubic meters…

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Q: Suppose that 40 deer are introduced in a protected area. The population of the herd P can be modeled…

A: Given:

Q: 1. The flow rate of the feed to the reactor in a chemical production plant is given by the equation:…

A:

Q: A1. SOLVE STEP BY STEP IN DIGITAL FORMAT Using the following function and the given intervals…

A: Given - f(x) = 4x^2 - 6                [ 3 , 6 ] ∆y/∆t =[ f(X2) - f(X1) ] / ( x2 - X1)

Q: The percent concentration y of a certain drug in the bloodstream at any time t (in hours) is given…

A: Our objective is to find the derivative and derivative at t=1

Q: For the linear equation y = 6.6 + 8.lx If x increases by 8, what is the resulting change in y?

A: Given: Interpretation of slope: For every one unit increase in x, the predicted value of y…

Q: At 2:00 PM a car's speedometer reads 50 mi/h. At 2:15 PM it reads 75 mi/h. Show that between 2:00…

A:

Q: 1. The flow rate of the feed to the reactor in a chemical production plant is given by the equation:…

A: Consider F=πpr48ηlGiven: ∂rr=0.05              ∂ll=0.05              ∂pp=-0.10…

Q: The value of an automobile decreases each year and is described by the equation V(t), where t is the…

A: The decrement in the value of a vehicle is described using the equation: V(t)=240000.95t. We need to…

Q: C Log in to Clever A New Tab at (-1, 6) and S is located at (-7, -3), what i: the slope of OR ?

A:

Q: Use the formula below to find the instantaneous rate of change of the function at the given x-value.…

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Q: The number of people infected by a disease can be represented by D(t) = 2', where D represents the…

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Q: – 3x Find the relative rate of change of f(x) = 6+ 3 e -

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.