In everyday experience, the measures of temperature most often used are Fahrenheit F and Celsius C. Recall that the relationship between them is given by the following formula. F = 1.8C + 32 Physicists and chemists often use the Kelvin temperature scale. You can get kelvins K from degrees Celsius by using the following formula. K = C + 273.15 (Calculate that value. K(30) =   K (b) Find a formula expressing the temperature C in degrees Celsius as a function of the temperature K in kelvins. C =    (c) Find a formula expressing the temperature F in degrees Fahrenheit as a function of the temperature K in kelvins. F =    (d) What is the temperature in degrees Fahrenheit of an object that is 290 kelvins?

Q: The concentration of alcohol in a person’s bloodstream is measurable. Suppose that the relative risk…

A: (a) The formula for relative risk R for a percent of alcohol concentration x is given as R=ekx. Here…

Q: When concentrations of formaldehyde in the air exceed 33μg/ft3 1 μg=1 microgram=10−6 gram, a strong…

A: The dimension of the given room is 10 ft by 10 ft by 7 ft. Hence, the capacity of this room is given…

Q: In the context of electrical circuits, Ohm’s law describes the relationship between the voltage, V,…

A: Consider the formula for voltage: V=IR Apply product rule and differentiate the equation with…

Q: When a factory operates from 6 AM to 6 PM, its total fuel consumption varies according to the…

A: Topic of equation

Q: If k is given by the equation: k = 4n? Find the maximum percentage error in the measurement of k if…

A:

Q: given the following equation : xy=nza   if the values of n, z, and a are held constant but the…

A: Simple equation

Q: For a particular host-parasite relationship, it was determined that when the host density (number of…

A: To find: If the host density were to increase without bound, then y would approach (Simplify your…

Q: In the summer, humidity interacts with the outdoor temperature, making a person feel hotter due to a…

A:

Q: When an object is removed from a furnace and placed in an environment with a constant temperature of…

A: Given : When an object is removed from a furnace and placed in an environment with a constant…

Q: There is a relationship between perceived corruption and human development in a country that can be…

A: Here we have given a relationship between perceived corruption and human development in a country…

Q: Convert the temperature shown on the City Savings sign to degrees Fahrenheit. ICITY SAVINGS TEMP…

A:

Q: Scientists have found a relationship between the temperature and the height above a distant planet's…

A:

Q: The position of a particle moving in a straight line is given by  s = t3 − 5t2 feet after t seconds.…

A: Given data- We have given the position of a particle moving in a straight line is given- s = t3 −…

Q: Given this equation for converting temperature from celsius to fahrenheit f=9/5c +32 what is f when…

A: Given:      F=95C+32

Q: Frank’s automobile engine runs at 100◦C. On a day when the outside temperature is 21◦C, he turns off…

A: Use Newton's law of cooling dydt=-k(y-Tambi) and substitute Tambi with 21 to get the differential…

Q: A beer stein has a temperature of 28°F. It is placed in a room with a constant temperature of 70°F.…

A: A beer stein has a temperature of 28°F. It is placed in a room with a constant temperature of 70°F.…

Q: In the context of electrical circuits, Ohm's law describes the relationship between the voltage, V,…

A:

Q: Insurance companies often try to calculate average life expectancy, that is, how long different…

A:

Q: (b) For each 1000-foot increase in elevation, how many fewer frost-free days are predicted? (Round…

A: Note: Thank you for the question. Since multiple subparts are posted, according to our policy, we…

Q: A roasted turkey is taken from an oven when its temperature has reached 185 Fahrenheit and is placed…

A: *concept:- Newton's law of cooling.

Q: nating electrical current in amperes (A) is modeled by the equation , where i is the current, I is…

A: In this question, concept of trigonometric function is applied. Trigonometric Function The…

Q: Suppose gas costs $3.50 a gallon. We make a model for the cost C of buying xr gallons of gas by…

A:

Q: A pie is removed from your oven with an internal temperature of 182°F. It is placed on your counter…

A: Newton's law of cooling states that the rate of cooling of an object is inversely proportional to…

Q: submerged in large tank of water whose temperature is 50∘F. Find a formula for F(t), the temperature…

A: In this question we will use basic concepts of temperature transfer i.e concept of Newton's law of…

Q: Consider the equation P=100(0.87)" that models the percent of caffeine in your body n hours after…

A: This problem can be solved using the concept of exponents and natural logarithm

Q: The relationship between the temperaturereading F on the Fahrenheit scale and the temperaturereading…

A: We have the following information as The relationship between the temperature reading F on the…

Q: The percentage p(t) of children who are able to speak in at least single words by the age oft months…

A: pt=1001-12156t4.17 Put t=14 in pt=1001-12156t4.17, we get…

Q: In everyday experience, the measures of temperature most often used are Fahrenheit F and Celsius C.…

A: Given:-           (a) The relation between Fahrenheit F and Celsius C is:…

Q: When a factory operates from 6 AM to 6 PM, its total fuel consumption varies according to the…

A:

Q: An ideal diameter d, in feet, of a ship's propeller is given by the formula d= ch/5,-3/5 Here h is…

A: The propeller diameter is given by the formula. This formula can be used to calculate the diameter…

Q: Given this equation for converting temperature from Celsius (c) to Fahrenheit (f): f = (9/5)c + 32

A:

Q: In an experiment, a solution of hydrochloric acid is to be kept between30° and 35° Celsius. What is…

A: We find F for C= 30

Q: The conversion of temperature units from degrees Fahrenheit to degrees Celsius is given by the…

A: Given query is to find composite function.

Q: In chemistry, the pH of a solution is a measure of the acidity or alkalinity of a solution. Water…

A:

Q: A metal bar at a temperature of 100°F is placed in a room at a constant temperature of 0°F. If after…

A: Using Newton's law of Cooling, we can find the required time

Q: It can be shown that when the water level is h meters from the bottom of the tank, (see the figure),…

A:

Q: A roast turkey is taken from an oven when its temperature has reached 185°F and is placed on a table…

A: Let's solve by using newton's law of cooling.

Q: The value of a machine, V, at the end of t years is given by V = C(1 – r)', where C is the original…

A: Given V=C(1-r)t C=$703, r=0.14 and t=4

Q: Given this equation for converting temperature from Celsius (c) to Fahrenheit (f): f = (9/5)c + 32…

A:

Q: When earthquakes occur under the sea, they can cause large tidal waves called tsunamis. Scientists…

A: Here we have given the equation of speed os tsunami.

Q: A given bacteria culture initially contains 2500 bacteria and doubles every half hour. The number of…

A: pt=2500ekt Since bacteria doubles every half hour, therefore pt=5000 when t=30. Now put pt=5000 and…

Q: The formula for converting temperature from Fahrenheit to Celsius is C =;(F - 32), If the…

A: Given formula is  C= 5/9(F-32)  Where C is temperature in degree Celsius  and F is temperature in…

Q: At a constant temperature of 15°C, the barometric pressure can be approximated by the formula P =…

A:

Q: Next we find the value of the constant C. Since R(0) = 0, we have 800e0.01    + C  =  0   C  =  .

A:

Q: In everyday experience, the measures of temperature most often used are Fahrenheit Fand Celsius C.…

A: Given formula are                                            F=1.8C+32K=C+273.15 where F is in…

Q: At a constant temperature of 15ºC, the barometric pressure can be approximated by the formula…

A: At a constant temperature of 15ºC, the barometric pressure can be approximated by the formula…

Q: A solution is to be kept between 68° F and 77° F. What is the range in temperature in degree Celsius…

A:

Q: Given this equation for converting temperature from Celsius (c) to Fahrenheit (f): f = (9/5)c + 32…

A:

Q: The relationship between a temperature in degree Celsius (C) and In kelvins (K) is given by K = C +…

A: The relationship between a temperature in degree Celsius (C) and In kelvins (K) is given by, K = C +…

Q: Scientists have found a relationship between the temperature and the height above a distant planet's…

A:

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.