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juin [17]
3 years ago
8

The sequence an = 27 ( one third ) ^ n-1 is graphed below. Find the average rate of change between n=2 and n=4

Mathematics
1 answer:
Mrrafil [7]3 years ago
8 0
Rate of change
find a2 and a4

a2=27(1/3)^(2-1)=27 times 1/3=9
a4=27(1/3)^(4-1)=27 times 1/27=1

rate of change=(a4-a2)/(4-2)=(1-9)/(4-2)=-8/2=-4
average rate of change is -4
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25 PTS *** Multiply and simplify. Write your answer in radical notation
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3 0
3 years ago
Which statements are true? Select all that apply.
AveGali [126]

cosθ = cotθ/cscθ is a true statement. The answer is option B

<h3>How to determine which of the trigonometric statements are true?</h3>

Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles

A. tan²θ = 1 - sec²θ

tan²θ = 1 - sec²θ  

tan²θ = 1 - 1/cos²θ               (Note: sec²θ  = 1/cos²θ)

tan²θ = (cos²θ- 1)/cos²θ

tan²θ =  -sin²θ/cos²θ            (Note: cos²θ- 1  =  -sin²θ)

tan²θ = -tan²θ

This statement is not true

B. cosθ = cotθ/cscθ

cosθ = cotθ/cscθ

cosθ = (1/tanθ) / (1/sinθ)

cosθ = (cosθ/sinθ).sinθ

cosθ = cosθ

This statement is true

C. 1/sec²θ   = sin²θ + 1  

1/sec²θ   = 1/(1/cos²θ)

1/sec²θ  = cos²θ

1/sec²θ  = 1 - sin²θ

This statement is not true

D. sec²θ - 1 = 1/cot²θ  

sec²θ - 1 = 1/cos²θ - 1

sec²θ - 1 = (1-cos²θ)/cos²θ

sec²θ - 1 = sin²θ/cos²θ

sec²θ - 1 = tan²θ

This statement is not true

E. sinθ cscθ  = tan θ  

sinθ cscθ  = tan θ

sinθ cscθ = sinθ (1/sinθ)

sinθ cscθ = 1  

This statement is not true

Therefore, the true statement is cosθ = cotθ/cscθ

Learn more about Trigonometry on:

brainly.com/question/29529966

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7 0
2 years ago
Antonio graphs these equations and finds that the lines intersect at a single point, (–5, 0.25). Equation A: Equation B: 4y – 3x
Elza [17]

Given equations : Equation A:  4y -3x =16 and

Equation B: -x-8y =3.

We are given a<em> point (-5,0.25) plugging it in first equation</em>

4(0.25) -3(-5) =16

1+15 =16.

16 =16 <em>: Satisfies first equation.</em>

Plugging (-5,0.25) it in second equation.

-(-5)-8(0.25) =3.

5 - 2 = 3.

3=3 <em>: Satisfies first equation.</em>

<h3>Therefore, they are the only values that make both equations true.</h3>
6 0
4 years ago
Read 2 more answers
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