considering that prolonged exposure to sounds above 85 decibles can cause hearing damage or loss, and considering that a gunshot from a 0.22 rimfire rifle has an intensity of about I=(2.5times10^13)Io, should you follow the rules and wear ear protection when relaxing at the rifle range?

Q: Find the exact value of the expression 321/ln 2

A:

Q: – a? log(1+x²) x4 f(x)= Then lim→0+ ƒ (x)= (A) 0 (B) 1 (C) -1/2 (I

A: The function given is, fx=log1+x2-x2x4 To calculate the limit of the function , apply the L'…

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Q: Find the exponential function f(x)=a^x that passes through the point (−3,1/27) and has a y-intercept…

A:

Q: Find formulas for the exponential functions, p(x) and q(x), graphed below. 40 30 20 10 16 24 32 CO

A: The graph is

Q: Find a formula for the exponential function passing through the points 3, 27 and (2,18) f(x) =

A: Given:

Q: In 1883 a volcano on the island of Krakatoa erupted. It is the loudest known sound in history,…

A: db formula......

Q: Solve for x. log,(x² – 4) – log4(x+2) =2

A: Solve for x -> log4(x2-4)-log4(x+2)=2

Q: -3 7) log4 x = 2

A:

Q: Find the exponential function y = ab whose graph passes through the points (3, 108). y = > Next…

A:

Q: Find the exponential function of the form f(x) =c•a* that contains the two points shown below. (0,4)…

A:

Q: 4. For what value of a are the graphs of y Recall that loga a and y loga tangent to In zYou should…

A: Here y = ax and the other graph loga x are inverse of each other. First find their point of…

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A:

Q: The Richter scale measures the magnitude of an earthquake by comparing the amplitude of the seismic…

A:

Q: 1 (log, x)' 3x ise b =?

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Q: Find the solution set for log3 2+2.log, x=|

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Q: In Exercises  solve for y in terms of t or x, as appropriate.53. ln (y - 1) - ln 2 = x + ln x

A: The given equation is lny-1-ln2=x+lnx. Solve for y as follows.

Q: f(x + 1) f(x) 7. For an exponential function f(x) = Ca",

A: We have given fx=cax We have to find fx+1fx Then, fx+1fx=cax+1cax=cax.acax=a

Q: Find graphically approximate value of the root of the equation an 3 – x = e* - 1.

A:

Q: Solve for x accurate to three decimal places.

A: Solve for x accurate to three decimal places.  50001+e2x=2

Q: Sketch the graph of the exponential function. f(x) = (0.8)* Complete the table of coordinates. - 1 1…

A: we have to find value of the F(x) taking x = -1,0,1  and then sketch the graph

Q: Find a formula in the form of f(x)=a(b)^x for the exponential function that passes through the two…

A: Consider the exponential formula Given that f(x) passes through the (0,2) and (3,432).

Q: Consider the exponential equation. 6* = 219 a. Find x in exact form: x = b. Approximate x, correct…

A:

Q: A small metal bar, whose initial temperature was 20∘C, is dropped into a large container of boiling…

A: The Newton's Law of cooling is:…

Q: Based on the data for the year of 1910 to 2007, the expected lifespan of people and country a can be…

A:

Q: All exponential functions f(x) = b x pass through the point __

A: The given exponential function is,

Q: 2 2- X The integral loge dx is equal to

A: Introduction :

Q: Example 3: Using data from the U.S. Census Bureau, the population (in thosands) of Detroit, Michigan…

A:

Q: Find the formula for an exponential function of the form f(x) = A · Bª that passes through the…

A: The function is given by fx = A·Bx The function passes through the following two points  x1,y1 =…

Q: How large does x have to be, so that e^(-x/10)<0.1?

A: We need to find the values of x for which the following inequality holds good.

Q: Find the exact solution to the exponential equation 22=12(0.3)^q( do not give a decimal…

A: Given,            22=120.3q

Q: The life expectancy ℓ of white females can be estimated by using the function ℓ(x) = 78.5(1.001)x,…

A:

Q: 1. Given that z=8-6i, write its exponential form. Round off decimal answers up to 3 decimal places.

A: Here, a=8b=6

Q: e* (1-e*) (1+х) [Iin(1-х)] 12. lim,»0

A: LetL=limx→ 0ex1-ex1+xln1-xplug x=0L=e01-e01+0ln1-0L=11-11ln1L=1.01.0L=00Which is undetrminat…

Q: The amount of carbon 14 present in a paint after t years is given by A(t) = A, eto012 The paint…

A: Let's find.

Q: 1. A wooden beam has a rectanguar cross section of height h and width w. What are the dimensions of…

A: To find the dimensions of the strongest beam: Here w = width          h = height          d =…

Q: Find the exponential function of the form f(x) =c•a* that contains the two points shown below. (0,7)…

A:

Q: 17. The product rule does apply when multiplying exponential functions with sinusoidal functions.

A: Yes the product rule applies when multiplying exponential functions with sinusoidal functions

Q: 5. log4 V32

A: Its value is : log4323=56

Q: Find the exponential function f(x) points (0, 3) and (2, 12). Ca" whose graph goes through the a = C…

A: We will put the coordinates in the function and find the required values.

Q: A population of bacteria, B, can be modeled using the exponential function B (x) = 3 (2)“ , wherez…

A:

Q: The amount of carbon-14 present in a paint after t years is given by y = y, e -0.00012t The paint…

A: we have giveny= y0e-0.00012t

Q: Find the exponential function of the form f(x) = c•a* that contains the two points shown below.…

A:

Q: The life expectancy ℓ of white females can be estimated by using the function  ℓ(x) = 78.5(1.001)x,…

A: Given, life expectancy function lx=78.51.001x where x is the current age.

Q: Find a formula for the exponential function of the form A=f(t)=IB^t passing through the points (2.5,…

A: Just satisfy the given both points in the function and find the unknown.

Q: When you put x =Sp, you find that Exponentialcumdist(s u, p) computes out to the same value no…

A:

Q: Find a formula for the exponential function f(x) = Ca² passing through the points (2,75) 3 (-1, ³).…

A:

Q: 1. a) Linear b) Quadratic c) Cubic d) Exponential f(x) -2

A: Definitions of the types of functions help to find the type of the function. A function is said to…

Q: Find the exponential function f(x) = a whose graph is given. %3D f(x) = 2 (-1,5 -2 -1 21

A: Exponential function f(x) = a x

Q: 6) The starting salary for a delivery driver is $35,000 per year with a yearly increase of 3%. Which…

A: Follow the steps/