Exponents Raised to an Exponent (power to a power) Problem Expanded form Exponential form (2) 2 * 2' = 2 * 2 * 2 * 2 * 2 * 2 25 (4³)² (a) Write the rule for multiplying a power to a power.

Q: C. Power of 31 Direction: Express the following in exponential form with a power of 3. Write your…

A: We have to the given expression with a power of 3.

Q: Rational Exponent Radical Form 1 1. 2. 3. 6. ('VR) 3 4. (-5)7 5. -s7

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Q: On April 25, 2015, an earthquake of magnitude 7.8 on the Richter scale struck Nepal. On May 12,…

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Q: Brine from a first tank runs into a second tank at 2 gpm and brine from the second tank runs into…

A: it is known that  dSdt=Rin-Rout using conditions given in question, we get dSdt=20-S101 gpm-S102 gpm…

Q: 12 ㅡx -21 A machine produces open boxes using square sheets of metal. The machine cuts equal-sized…

A: SOLUTION-

Q: Water flows out of a hose at a rate of 6 gallons per minute. A pool is 22 feet by 38 feet by 6 feet.…

A: Given: A pool is 22 feet by 38 feet by 6 feet. Water flows out of hose at a rate of 6 gallons per…

Q: Estimating Pi The English mathematician Wallis discovered the formula 2.4.4.6•6•8•... п…

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Q: At the beginning of a study, a certain culture of bacteria has a population of 730. The population…

A: a) The exponential growth model is given as, y=aektwhere,y is the number of bacteria at time ta is…

Q: Pandas are an endangered species. Currently (2021) thelr world-wide population is 3,500. Their…

A: Here initial value of Pandas is 3500 given in the above question. And decreasing rate is 14% per…

Q: 7. Time to Double or Triple an investment The formula sbni od bilar In m t = Goianol of T n In 1 + |…

A:

Q: A tank of capacity 1000 litres is initially full of salt solution containing 1kg of salt per litre.…

A: (d) The problem is now reduced to salt mixture 0.2 kg/liter entering the tank at the rate of 20…

Q: 47. Amplifying Sound An amplifier's power output P (in watts) is related to its decibel voltage gain…

A: The logarithm functions are actually the inverse of the exponential functions so the domain and…

Q: A new product is being pitched in your company. The total revenue and total cost in thousands of…

A: TR(X)=x2+18x TC(X)=2x2+60 Total profit = $17000

Q: On April 7, 2011, an earthquake of magnitude 6.5 on the Richter scale struck Veracruz, Mexico. On…

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Q: A tank of mass 24 kg containing 100 kg of water (density of water is 1000 kg/m3) is raised…

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Q: We developed a model for the maximum heart rate for various ages. For this problem, use this model:…

A: The given model for the maximum heart rate for various ages is: M=213-0.75A              ...(i)…

Q: 6. A tank has a pure water flowing into it at 12 L/min. The content of the tank are kept thoroughly…

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Q: uestion 16 Solve the exponential equation. 4 (9-3x) - 64 2. 16 -2 DO00

A: 49-3x=6 49-3x=43

Q: Interest is compounded semianually. Find the amount in the account after the given time. Principal…

A:

Q: A tank of capacity 1000 litres is initially full of salt solution containing 1kg of salt per litre.…

A: As per the Bartleby policy I am suppose to answer only first 3 sub-part of the question  so, I have…

Q: Cool Down: A Different Account An account grows at an annual interest rate of r, so it grows by a…

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Q: A 30-gallon tank initially contains 15 gallons of salt water containing 2 pounds of salt. Suppose…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Epidemic An epidemic is growing in a region according to the rate 100r N'(1) = ? + 2' where N(t) is…

A: Definition used -  If the rate of change of a function is given then we can find that function by…

Q: (Engineering Mathematics) Complex Numbers and Functions. Complex Integration Power Series, Taylor…

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Q: Rule of 72 Complete the following table, and use the results to discuss when the rule of 70 gives a…

A: a) The doubling time t in years when m=1 is :- t=ln 2ln1+r b) Rule 70: for,  0.001≤r≤0.05, the value…

Q: What do you observe?

A: Here use slovin's formula n = N1+Ne2

Q: 5-4 Classwork Rational Expohents v Simplify. V12. V123 Convert each to expressions with rational…

A: Topic = Algebra

Q: ravels down a highway at 50 m/s. An observer stands 250 m from the highway. w fast is the distance…

A: Topic:- geometry

Q: A tank has pure water flowing into it at 10 liters/min. The contents of the tank are kept thoroughly…

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Q: . DISCOVER: Compound Interest A savings account earns5% interest compounded annually. If you invest…

A: Given, a savings account earns 5% compounded annually. If the invested amount is x dollars then the…

Q: Compound Interest $7000 is invested in an account at interest rate r, compounded continuously. Find…

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Q: Hector Dindo (0.5)*-1 > (0.25)¯x-2 (0.5)*-1 > (0.5)2(-x-2) х — 1>-2х —4 (0.5)*-1 > (0.25)-*-2…

A: This is a problem related to inequality functions between Hector and dindo. Based on the available…

Q: Exponential Functions Assignment March 26, 2021 /29 1.Simplify the expression. Express your answer…

A: Expand powers

Q: Activity C. Radical Form Write in Exponential Form Reduce the Write in radical form Simplify if…

A: We can fill up the table as below as per the 1st example.

Q: Integreting Factors 1. equation: Solve the xx こ0

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Q: Actinium-226 has a half-life of 29 hours. If 100 mg of actinium-226 disintegrates over a period of…

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Q: DETAI A savings account earns 5% interest compounded annually. If you invest x dollars in such an…

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Q: Earthquake Magnitudes The 1906 earthquake in San Francisco had a magnitude of 8.3 on the Richter…

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Q: A person invests $2000 in an account at 2% interest compounded annually. The value V (in dollars) of…

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Q: The population of Denver is 620,000 people. It is currently growing at a rate of 2% per year (growth…

A: The population of Denver is 620,000 and it is growing at the rate of 2% per year. Part 1: The…

Q: 83. DISCOVER: Compound Interest A savings account earns 5% interest compounded annually. If you…

A: Given that, Ax=x+0.05x=1.05x We have to find: A∘AA∘A∘AA∘A∘A∘A Then we get,…

Q: A tank holds a 42 liter solution of alcohol and salt. Initially, the solution contains 5 grams of…

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Q: half-life of 24 hours (half-life is the time it takes for half of the quantity decay) a. Find a…

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Q: Is there a value that completes the table so that it represents an exponential fuction ..explain. x…

A: Given data is x -1 0 1 2 y 1 3 ? 27 let the exponential function be…

Q: Find the time it takes for $8,100 to double when invested at an annual interest rate of 1%,…

A: a) Given: Principal (P) = $8,100 Double money (A) = $8,100 x 2 = $16,200 Interest rate (r) = 1% = 1…

Q: Carbon-14 has a half life of 5760 years. Suppose only 70% of the original amount of Carbon-14 in a…

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Q: I need help working this problem. I get stuck at this point. I think my algebra is failing with the…

A: Given function: m(t)=2/(t-1)

Q: Investment The future value of an investment of$8000 at interest rate r (as a decimal),…

A: Since S indicates the future value, substitute S=9261 in the equation S=8000(1+r)3 and divide both…

Q: exponential expression. Rewrite the radical expression as an Vy

A: The index root of radical will become the denominator of the fractional exponent and the power will…

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.