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hoa
1 day ago
15

This sequence represents the diameters of circles used to create an art project:2.5 cm, 3.1 cm, 3.7 cm, 4.3 cmLet f(n) represent

diameter in centimeters and n the term number in the sequence. Which equation represents the sequence of diameters?
Mathematics
1 answer:
PIT_PIT [9.1K]1 day ago
7 0
For this specific question, we need to formulate an equation that accurately reflects the provided data concerning the diameters of specific circles. From the information given, the first term is 2.5 cm, and the difference between the first two terms is 0.6 cm. This same difference applies to the following terms, indicating that the sequence is arithmetic, with the first term as 2.5 cm and a common difference of 0.6 cm. Based on the variables specified in this problem, the equation representing the given sequence is: f(n) = 2.5 + (n - 1)(0.6).
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5 days ago
If A(x1, y1), B(x2, y2), C(x3, y3), and D(x4, y4) form two line segments, and , which condition needs to be met to prove ?
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The answer
the full question is
If A(x1, y1), B(x2, y2), C(x3, y3), and D(x4, y4) create two line segments, and AB ⊥ CD, what condition must be satisfied to establish that AB ⊥ CD?

Let A(x1, y1) and B(x2, y2) represent the first line, while C(x3, y3) and D(x4, y4) represent the second line.

The slope for the first line is given by m = (y2 - y1) / (x2 - x1).
For the second line, the slope is m' = (y4 - y3) / (x4 - x3).

The necessary condition to demonstrate that AB ⊥ CD is

                           
                    (y2 - y1) * (y4 - y3)
m × m' =  ---------  ×  ------------ = -1
                    (x2 - x1)    (y4 - y3)
5 0
1 month ago
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Brandon purchased a new guitar in 2012. The value of his guitar, t years after he bought it, can be modeled by the function A(t)
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Answer: The guitar's value over time is described by the 0.95 metric, indicating a 5% annual depreciation.

Step-by-step explanation:

To address this inquiry, we use an exponential decay formula:

A = P (1 - r) t

Where:

P = initial price

r = the reduction rate (expressed as a decimal)

t = time in years

A = price after t years

Substituting the known values:

A(t)=145(0.95)t.

Where

0.95 = 1-r

0.95-1 = r

-0.05 = -r

0.05 = r

Converted to percentage:

0.05 x 100 = 5%

Please reach out if further clarification is needed or if something was unclear.

6 0
1 month ago
What is a34 of the sequence 9,6,3,
PIT_PIT [9101]

Step-by-step explanation:

What is a34 of the sequence 9,6,3,..

r=a2-a1

r=6-9

r=-3

a34=a1+33.r

a34=9+33.(-3)

a34= 9-99

a34= -90

hope this helps!

bye!

8 0
3 days ago
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Zayed is helping his classmates get ready for their math test by making them identical packages of pencils and calculators. He h
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To find the maximum number of identical packs we see we have 72 pencils and 24 calculators.

This involves discovering the largest number that divides both 72 and 24 evenly,
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To determine the GCM, factor 72 into primes and group them:
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For pencils:
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For calculators:
24 divided by 24=1
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The outcome is 3 pencils and 1 calculator in each pack.
6 0
23 days ago
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