The per capita consumption of breakfast cereal in the US has the following model that appears above C( t ) = – 0.0031t³ + 0.099t? – 0.348t + 11.85 pounds, where t is the number of years since 1990. %3D -

Q: Show that the two functions yn = Aet (interest compounding) and y2 Aet (discounting) are mirror…

A: Mirror image with reference to y-axis: Given a function f(x), a new function g(x)=f(−x) is a…

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A:

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A:

Q: Given a cooling coefficient y of 0.1, how long does it take water at 20°C to freeze (reach 0°C) in…

A: Newton's law of Cooling is used

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A:

Q: 2. A population of birds (in millions) t years from now is estimated by the following P (t) =…

A: Please see the answer below.

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A:

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A:

Q: What is the rate of change of f (t) at t = 7.5?

A: The rate of change is calculated using differentiation. The derivative of f(t) at t=7.5 gives the…

Q: Suppose C(t) is the cost, in thousands of dollars, of producing t tons of white paper. If C'(10) =…

A: Given Ct is the cost, in thousand of dollars of producing t tons of white paper. Also C't=360

Q: According to the Florida Agency for Workforce, the monthly average number of unemployment claims in…

A: This question is based on application of Derivative.

Q: What is the t critical value when n = 17 and C = 95%?

A: 1.) The t critical value for given data: Given, n = 17 Confidence, C = 95%

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A: Given

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A:

Q: The value of the instantaneous velocity at t = 1 is

A: Consider the position function To calculate the instantaneous velocity

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A:

Q: a car move with an initial velocity of * 50 m/s to the right, determine its position when t=15 s, if…

A: This is a problem related to newton's law of motion. Based on the general formula and concept we…

Q: The size P of a small herbivore population at time t​ (in years) obeys the function P(t)=600e0.25t…

A: Simply substitute P = 1200 and solve for t using Lograthim.

Q: the table at the right. Can we conclude that the drug does reduce systolic pressure?

A: here perform hypothesis test

Q: The population of a city (in millions) at time t (in years) is P(t) = 2.6e0.002t where t = 0 is the…

A:

Q: Find the net change in velocity over [1, 4] of an object with a(t) =8t - t2 mls2 .

A: Given, Acceleration is, a(t)=8t-t2 ,ms2

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A:

Q: A population of bacteria is growing according to the equation P(t)=1350e^0.11t Estimate when the…

A: Substitute P(t)=2418 into the equation Pt=1350e0.11t and solve for t:…

Q: Assume S=0.6Y+19 describes the projected relationship between  S⁢ , sales of a company (in millions…

A: Given that the model S=0.6Y+19 describes the projected relationship between S , sales of a company…

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A:

Q: at time t20, the velocity of a body moving along the s-axis is v=t - 7t+ 6. When is the body's…

A: Explanation and solutions is given below....

Q: The marriage rate in a certain country in 1990 was 0.95%, and there were about 351,000 marriages…

A: 1990 corresponds to t=0 So, M0= 351000 And r= 0.95% = 0.0095 So the model is:

Q: (b) If a rock is thrown upwared on the planet mars with a velocity of 12ms, its height in meters t…

A: The height of the rock is given by: y(t)=12t-1.92t2 To find the average velocity over the interval…

Q: The effectiveness of a medicine is given by E(t) = 2t In t³, where t is time in hours after…

A: Given,  The effectiveness of the medicine Et = 2t lnt3  Where t is time in hours   We have to find…

Q: How do we do this question? Thank you

A:

Q: Find the maximum rate of change of f(s,t)=te^(st) at the point (0,−5).

A: We have to solve

Q: to the South Coast Air Quality Management District, the level of nitrogen dioxide, a brown gas that…

A: Here,  A(t)=0.03t3(t-7)4+60.2, 0≤t≤7

Q: The population of a city (in millions) at time t (in years) is P(t) = 2.4e0.007t When will the…

A: find the value of t when population is double from what it is when time is zero.substitute value of…

Q: The per capita consumption of breakfast cereal in the US has the following model that appears abo…

A: C(t)=−0.004t3+0.0992−0.352t+12.7…

Q: The accompanying graph plots the best quadratic fit, a(t) = − 0.70t^2 + 1.44t + 10.44, to the data…

A:

Q: Given the acceleration of an object and its initial velocity, how doyou find the velocity of the…

A: We know that the rate of change of velocity of a moving particle is known as its acceleration. Let…

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A:

Q: VOLUME FUNCTION VTCH)=( ax?T Cax2π 318091 797 %3D 10 500 2000

A:

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Q: Researchers in Alaska have developed models that can be used to estimate the mass of a polar bear.…

A: The equation relating mass and body dimensions is given as: M(x,y)=0.000199x1.2823y1.4874   Weight…

Q: Suppose C(t) is the cost, in thousands of dollars, of producing t tons of white paper. If  C'(10) =…

A: The cost of producing t tons of white paper is c(t).The cost of producing 10 tons of white paper is…

Q: A population of bacteria is growing according to the equation P(t) = 1800e0.15t. Estimate when the…

A: Please see the answer in step 2

Q: Consider the acceleration function of an object on a projectile motion is a (t) = -32. If v (0) = 28…

A:

Q: stimate the population will grow to P(t) (408)4, where t represents the number of %3D rding to this…

A:

Q: The population of a city (in millions) at time t (in years) is P(t)=2.8e0.008t, where t=0 is the…

A: Given data:   The expression for the given population at any time t is: P(t)=2.8e0.008t.     The…

Q: The population of a city can be modeled by P(t) = 17e.04t thousand persons, wheret is the number of…

A: The population of a city can be modeled by P(t)=17e0.04t thousand persons, where t is the number of…

Q: The cubic function of best fit to data is T(x)= -0.0103x^3+0.32x^2-1.37x+46.09 Use this function to…

A: Basic curve fit problem

Q: Use the model below to estimate the average annual growth rate of a certain country's population for…

A: y=-0.0000082x3+0.00232x2-0.168x+8.334, where x is the number of years after 1900.

Q: The equation y = log(x + 4) has a vertical asymptote at: %3D X =

A:

Q: The per capita consumption of breakfast cereal in the US has the following model that appears above…

A: Given : per capita consumption function .        To find  : Rate of consumption .

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.