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lesantik [10]
2 years ago
8

Given the following exponential function, identify whether the change represents

Mathematics
1 answer:
Pavel [41]2 years ago
7 0

Answer:

3%

Step-by-step explanation:

This equation represents exponential decay. Whenever the base is less than 1, the function represents decay. When the base is greater than 1, the function represents growth. In this case, the base is .97 which is less than 1, representing decay.

The formula for exponential decay is y=a(1-r)x.

r is the decay rate, expressed as a decimal.

In this case, r = .03 which represents 3%!

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Step-by-step explanation:

Just calculate 20% of 78.00 or 78.00x0.20=$15.6

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3 years ago
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The 6 boys in Ms.dreyvus’ class always ran together during recess.
mr_godi [17]

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Solve the equation cos (x/2) = cos x + 1. what are the solutions on the interval 0° ≤ x &lt; 360°?
Sedbober [7]

Answer:

Step-by-step explanation:

cos (x/2)=cos x+1

cos (x/2)=2cos ²(x/2)

2 cos²(x/2)-cos (x/2)=0

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cos (x/2)=0=cos π/2,cos (3π/2)=cos (2nπ+π/2),cos(2nπ+3π/2)

x/2=2nπ+π/2,2nπ+3π/2

x=4nπ+π,4nπ+3π

n=0,1,2,...

x=π,3π

or x=180°,540°,...

180°∈[0,360]

so x=180°

or

2cos(x/2)-1=0

cos (x/2)=1/2=cos60,cos (360-60)=cos 60,cos 300=cos (360n+60),cos (360n+300)

x/2=360n+60,360n+300

x=720n+120,720n+300

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x=120,300,840,1020,...

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7 0
2 years ago
A dog weighs 35.4 kilograms.1 kilogram=2.2 pounds,1 pound=0.45 kilograms.About how much does the dog weigh in pounds?Round to ne
AlladinOne [14]
Answer: 78 pounds
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35.4 x 2.2 = 77.88
Round to nearest whole: 78.
So the dog is 78 pounds
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2 years ago
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