concentralion of drug t (minutes) 80 10 20 30 40 The figure above shows the drug concentration curve for one dose of a drug, with the minimum effective concentration shown with the dotted line. At what time, t, should the second dose be given if the doses are to be as far apart as possible while still maintaining drug effectiveness? Ot = 10 minutes Ot = 70 minutes Ot = 40 minutes Ot=80 minutes

Q: Cost. A company manufactures mountain bikes. The research department produced the following marginal…

A: The marginal cost function C'(x) is-C'(x)=500-x3    0≤x≤900 Integrating the marginal cost function…

Q: Estimating time Suppose you want to travel D miles at a constantspeed of (60 + x) mi/hr, where x…

A:

Q: Depth of snow (m) Number of skiers 0.5 120 0.8 250 2.1 500 3.6 780 1.4 300 1.5 280 1.8 410 2.7 320…

A: For the given data we have to draw best fit of line by eye.

Q: Predictor Coef SE Coef t-ratio p Constant -7.611 2.567 2.965 0.046 Arm span 0.186 0.035 5.377 0.000…

A: Given,   Predictor Coef SE Coef t-ratio p Constant -7.611 2.567 2.965 0.046 Arm span 0.186…

Q: Suppose that while driving a car, the driver suddenly sees an animal standing in the road. The…

A: Solution : Given    D(v)=13/10 +1/2 Where D(v)àdistance , v àspeed Compare equation with y=mx+c

Q: The consumer demand equation for tissues is given by q = 8,100 - 180 p +p2, where p is the price per…

A: Differentiate the demand equation w.r.t p and find the first derivative for demand equation q.…

Q: Estimating time Suppose you want to travel D miles at a constantspeed of (60 + x) mi/hr, where x…

A: Consider the given linear approximation is, As 63-60=3 consider the value of x=3. Substitute D =93…

Q: Distribution of velocity (DV) of a molecule is given with the following equation DV = ae bv² / 2eDy2…

A: Given - Distribution of velocity (DV) of a molecule is given with the following equation DV =…

Q: (b) Find a linear model for the relation between boiling point B, and elevation H. (c) Use the model…

A:

Q: Volume and surface area of a tumor The diameter of a tumor was measured to be 19 mm. If the diameter…

A: Given: Initially, diameter is 19 mm……1Diameter increases by 1mm……2

Q: Upload Choose a File Question 2 20 An object moves along a horizontal line in such a way that its…

A: The object is moving along a horizontal line as s(t) = t3 -12 t2 + 36 t – 30.   To find the…

Q: A mathematical biologist is created a model to administer medicine reaction with the model given by…

A: Medicine Reaction, Rm = amount of medicine absorbedc = positive constant Given:R = m2c2-m3…

Q: Supply and Demand The supply function for a product is given by p = q2 + 2q + 122 and the…

A: Consider the provided information, The supply function for a product is given by p=q2+2q+122. And…

Q: Estimating time Suppose you want to travel D miles at a constantspeed of (60 + x) mi/hr, where x…

A: Linear approximation of T at x=a is T(x)=L(a)=T(a)+T'(a)(x-a) Since  Time=DistanceSpeed

Q: The growth of two plant saplings A and B, were observed for a period of 6 months. The graph shows…

A: Given, The graph of the growth of two plants saplings A  and B in cm for a period of 6 months.  We…

Q: The ordered pairs below give the intensities y in microwatts per square centimeter of the light…

A: Consider the given model: y=171.33x2 The ordered pairs below give the intensities y in microwatts…

Q: A company buys a new bulldozer for $115700. The company depreciates the bulldozer linearly over its…

A:

Q: A company buys a new bulldozer for $109500. The company depreciates the bulldozer linearly over its…

A:

Q: Question A submarine is at the surface of the ocean. It begins its descent at a rate of 100 feet per…

A: We have given that a submarine is at the surface of the ocean and it begins its descent at a rate of…

Q: Service realizes a monthly revenue represented by the following function, where R(x) is measured in…

A:

Q: 20. The wave heights h in the open sea depend on the speed v of the wind and the length of time t…

A:

Q: A firm has an average cost function A(q)=125/q+q/16-4 where q is the firm's output. Determine the…

A: Given,         A firm has an average cost function Aq=125q+q16-4; where q is the firm's output.

Q: The net sales earned by a company in the fiscal years 2000-2014 can be approximated by R(t)=…

A: Given Data The equation of the net sales earned by the company in the fiscal years 2000-2014is…

Q: The producers' surplus when A units are produced at price B is the area of the shaded region in the…

A:

Q: Maximum Sustainable Harvest The population of salmon next year is given by f(S) = Se-SIP), where S…

A: The value of a function where the function gives the extrema value is obtained by differentiating…

Q: Supply and Demand Let the supply and demand functions for sugar be given by p = S(q) = 1.49 – 0.6…

A: Supply and demand functions as:…

Q: Distribution of velocity (DV) of a molecule is given with the following equation 0000000000 DV= -bV2…

A: Given - Distribution of velocity (DV) of a molecule is given with the following equation DV =…

Q: For Shock D: Suppose the economy starts in the long run equilibrium. Illustrate changes that the…

A: D) A COUNTRY THE US TRADES WITH HAS ECONOMIC BOOM

Q: Marginal Revenus of a Commuter Air Service williams Commuter Air Service realizes a monthly revenue…

A: At the maximum value of a function, the derivative of the function is zero.

Q: Equilibrium Point Yaster Cookware is planning to introduce a new line of cast-iron pans. A marketing…

A:

Q: Reading Score The average reading score on theNational Assessment of Progress tests is given byy =…

A: y = 0.155x + 255.37 x is the number ofyears after 1970.

Q: Data on alcohol content and wine quality was collected from variants of a particular wine. From a…

A:

Q: y- axis = number of times the measurement of the range occurred x-axis = range Trials Range 1 67 2…

A: Frequency is the number of observations that occur in a particular defined class interval. Histogram…

Q: price p (in doi equation q = 800- 20p and 0s ps 40 (i) Express the revenue R as a function of q.…

A: Given demand equation is q=800-2pand 0≤p≤40where p is the price and q is the quantity sold

Q: Concentration mg / mL Absorbance 0.001 0. TO 0.002 0.155 0.003 0.29 0.004 0.41 0.005 0.65 0.006 0.87…

A: Find Regression line equations from the following data X Y .001 .10 .002 .155 .003 .29…

Q: plot shows the sizes and annual rents of some es in the downtown area of a city. SIZE AND ANNUAL…

A: We have given A   scatter plot  between the cost of rent  and the size  of the  office spaces. Rent…

Q: Revenue function A store manager estimates that the demandfor an energy drink decreases with…

A: dp=100p2+1 a). Revenue function is, Rp=p·dp=p·100p2+1=100pp2+1 The graph is,

Q: The demand function for a manufacturer's product is p=200 - 29 where p is the price (in rials) per…

A: The demand function for a manufacturer's product is p = 200 - 2q, where p is the price (in dollars)…

Q: The average admission prices P for movie theaters from 2001 through 2008 can be approximated by the…

A: We need to find the value t for which P surpassed $6.5.…

Q: A company buys a new bulldozer for $82750. The company depreciates the bulldozer linearly over its…

A: The company depreciates the bulldozer linearly over its useful life of 15 years. So relation between…

Q: A particle moves along a straight path. The graph below shows the particle's distance traveled in…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Using System of Equations: Determine the best fit curve for the function y = ax +b 0.1 0.2 0.3 0.4…

A: The linear regression technique uses a dataset to determine a linear function, y=ax+b such that the…

Q: Use linear approximation to estimate the change in daily profit when the number of units sold…

A: According to the given problem, profit is the dependent quantity while number of units sold is the…

Q: (R²) of the curve. Absorbance (Y-data) Absorbance (Y-data) Absorbar ncentration ta) Run 1 Run 2 Run…

A: *Answer:  We need to plot the data with errorbar for the given Concentration and absorbance table…

Q: at rug factory approximately q(t) = r² + 30(t) rugs are manufactured during the first t hours of a…

A: Given qt=t2+30tCq=0.01q3+4q+80 Where q(t) represent number of units and C(t) represent cost of q…

Q: Drug Concentration When a drug is injected into the bloodstream of a patient through the right arm,…

A:

Q: A)  Express the value of the bulldozer, V, as a function of how many years old it is, t. Make sure…

A: A linear function y in terms of x is given by the equation y=mx+c Let y=V denote the value of the…

Q: A particle moves along a straight path. The graph below shows the particle's distance traveled in…

A: Average speed of a particle, A is given by, A=Total distance travelledTotal time taken (a) As t…

Q: How hot is the air in the top (crown) of a hot air balloon? Information from Ballooning: The…

A: Given, Mean x¯ = 97 Standard deviation σ = 18 sample size n = 55 95% Confidence interval  α = 0.05…

Q: For Shock G: Suppose the economy starts in the long run equilibrium. Illustrate changes that the…

A: Answer) (E

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.