Answer: B
Step-by-step explanation:
Step-by-step explanation:
Applying rules of exponents to solve the given problems;
4^3 x 4^5 =
5^8 ÷ 5^-2 =
(6^3 ) ^ 4 =
For these problems, the applicable rules of exponents are;
aᵇ x aⁿ = aᵇ⁺ⁿ
aᵇ ÷ aⁿ = aᵇ⁻ⁿ
(aᵇ)ˣ = aᵇˣ
For the first problem; 4³ x 4⁵
aᵇ x aⁿ = aᵇ⁺ⁿ
4³ x 4⁵ = 4³⁺⁵ = 4⁸
Second problem: aᵇ ÷ aⁿ = aᵇ⁻ⁿ
5⁸ ÷ 5⁻² = 5⁸⁻⁽⁻²⁾ = 5⁸⁺² = 5¹⁰
Third problem; (aᵇ)ˣ = aᵇˣ
(6³)⁴ = 6³ˣ⁴ = 6¹²
Answer:
Fish Population The population of a certain species of fish has a relative growth rate of 1.2 %per year. It is estimated that the population in 2000 was 12 million. (a) Find an exponential model for the population tyears after 2000 . (b) Estimate the fish population in the year 2005 (c) Sketch a graph of the fish population.
Step-by-step explanation:
<em>The question has missing details. However, general questions that could be asked is as follows:</em>
<em>(1) The number of miles traveled after using (say) 5 gallons</em>
<em>(2) The number of gallons used after traveling for (say) 36 miles</em>
Answer:
See Explanation
Step-by-step explanation:
Given
A linear equation is represented as:
Where
and
c, in this question represents the initial capacity of the tank.
So, the initial capacity is 120 liters
Solving (a): r = 5
<em>60 miles traveled</em>
Solving (b): s = 36
Collect like terms
Solve for r
<em>42 gallons used</em>
A test battery contains the following three items: distance runs, skinfolds, and trunk extension. The test battery measure is health-related physical fitness.
Traditionally, the phrase "battery" turned into used to describe a "series of similar items grouped collectively to perform a feature," as in a battery of artillery. In 1749, Benjamin Franklin first used the term to explain a chain of capacitors he had related together for his strength experiments.
Batteries and comparable devices receive, save, and launch power on call. Batteries use chemistry, in the form of chemical capability, to save electricity, similar to many different normal electricity sources. for example, logs keep electricity in their chemical bonds till burning converts the electricity to heat.
The average alkaline AAA, AA, C, D, 9-volt or button-cellular battery is made of metal and a combination of zinc/manganese/potassium/graphite, with the ultimate balance, made up of paper and plastic. Being non-poisonous substances, all of those battery “substances” are effortlessly recyclable.
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