The brewing pot temperature of coffee is 180ºF and the room temperature is 76ºF after 5 minutes, the temperature of the coffee is 168ºF. 1.) Find an exponential equation to represent this situation. 2.) How long will it take for the coffee to reach a serving temperature of 155ºF?

Q: Find the equation of the exponential function that goes through the points (0,2000) and (2,20).

A: Given:

Q: Express the equation in exponential form. (a) In 6 = x (b) In y = 6

A: To express the equaion in exponential forma)ln6=xb)lny=6

Q: A radioactive substance, calculusium, has a half life of 72 years. If the amount after 40 years is…

A: According to question given that A radioactive substance, calculusium has a half life of =72 years…

Q: Find a formula for the exponential function passing through the points (-2,4/25)and (1,20)

A: Let the exponential function is

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A: The general equation of exponential is given by,                                y = k axUse given…

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Q: 1. Explain the process to solve the equation log, 5 + log,(x - 3) = 4.

A: To solve the equation,  (logb 5) + (logb (x - 3)) = 4 Identity :  (loga M)+ (loga N) = loga MN

Q: Find the exponential equation whose graph passes through the points (-3, 125 and (3,250) y =

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Q: Find a formula for the exponential function passing through the points (-3,3/64) and (1,12)

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Q: An exponential function in the form y = 729(b)* contains the point (3, 1). What is the value of b?

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Q: Find a formula for the exponential function passing through the points (-1,5252) and (2,20) y= ?

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Q: A bacteria doubles every 9 hours.The biologist has 125 bacteria now.How many will there be in 42…

A: Explanation of the answer is as follows

Q: One thousand dollars is to be invested in a bank for 4 years. Would 8% interest compounded…

A: To find the amount of semiannual compound interest, use the formula, A=P1+rnnt and substitute P with…

Q: The amount of money in an account grows exponentially according to the function A(t)=A0ekt. If the…

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Q: 2. At the start of the experiment, there are 400 bacteria. If the bacteria follow an exponential…

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Q: Each day, an investor deposits twice as much into the bank as she did the day before. Her initial…

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Q: Back in 1997, Palto Town had a population of 10,000 residents. Ten years later, the population grew…

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Q: An exponential function in the form y = 2401(b)* contains the point (4, 1). What is the value of b?

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Q: Find the exponential equation whose graph passes through the points (-1,5) and (2,32) y =

A: Explanation: Given that: Two points are -1,12 and 2,32 Concept: The standard equation of an…

Q: A culture of 200 bacteria growing in a Petri dish doubles in size every 3 hours.  The number of…

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Q: Find a formula for the exponential function passing through the points (-3, 27) and (3, 54). y =

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Q: Find the equation of an exponential function that goes through the following two points (0,8) and…

A: We have to find the equation of an exponential function that goes through the following two points…

Q: Find a formula for the exponential function passing through the points (-3,5/27) and (3,135)

A: The objective is to find the exponential function

Q: A doctor prescribes 150 milligrams of a therapeutic drug that decays by about 25% each hour. Write…

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Q: count in a bacteria culture was 700 after 15 minutes and 1000 after 35 minutes. Assuming the count…

A: We need the exponential growth formula :                                 N(t) = N0 ekt ,…

Q: Find the exponential equation whose graph passes through the points (-3, 5) and (1,15) 27 y =

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Q: Which graph represents an exponential function with a y-intercept of (0,-2) and an enc Fx)- - o as x…

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Q: Find the exponential equation whose graph passes through the points (-2, 76) and (1,20) 16 y =

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Q: Find the equation of the exponential function that goes through the points (0, 2000) and (2, 20).

A: First write exponential form Then pass through given points

Q: Find the exponential equation whose graph passes through the points (-2,) and (3,250) 25 y =

A: The exponential equation whose graph passes through the points -2,225 and (3,250).

Q: Find a formula for the exponential function passing through the points (-1,5/4) and (2,80) y =

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Q: what is the equation of the exponential function that goes through the points (1,10) and (4,80)?

A: solution:-

Q: The graph (in the attached picture) shows four exponential functions, each with the equation; y =…

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Q: $14,000 is invested for 25 years, what will be the ending balance if interest is 8% compounded…

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Q: Carbon dating presumes that, as long as a plant or animal is alive, the proportion of its carbon…

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Q: Find a formula for the exponential function passing through the points (-1,5) and (3,54) y =

A: use the general form of exponential function . and use this point to get the coefficient of…

Q: Find a formula for the exponential function passing through the points (-2, 3 ) and (2,48) 16 y =

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Q: Which of the equations are TRUE based on the exponential function 2* = 8 ?

A: 2x=8Taking log of both sides with base 2, we have: log22x = log223x.log22 = 3.log22           (From…

Q: Express the equation in exponential form. (a) In 3 = x (b) In y = 3

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Q: Find the exponential equation whose graph passes through the points (-3,3/8) and (1,6).…

A: The general form of an exponential equation is y=abx where a, b are any constants. The given two…

Q: Find a formula for the exponential function passing through the points (-3, and (1, 20). 64 y =

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Q: Find a formula for the exponential function passing through the points (-1, and (2, 80). y =

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Q: Find the exponential equation y=a(b)^x that goes through (0,3) and (1,4) please show solving steps.

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Q: Write the formula for an exponential function with initial value 250 and decay factor 0.58. (Uset as…

A: Consider the exponential growth model  N=a·bt                         …1 Where a is the initial…

Q: Let's solve the exponential equation  3ex = 75

A: Given, 3ex = 75 Dividing each side by 3 3ex / 3  = 75 /3  ex = 25

Q: Find the exponential equation whose graph passes through the points (-1,3/4) and (1,12)

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Q: Find a formula for the exponential function passing through 3 -) and (3, 375). 25 the points (-2,

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Q: Find a formula for the exponential function passing through the points (-2, and (2, 32). y =

A: Topic- exponential function

Q: Solve for x in the equation logxe2e = eInx - e

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Q: A culture of 200200 bacteria growing in a Petri dish doubles in size every 33 hours.  The number of…

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