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2 years ago

11

Confused on the function and method for this... help me out please.

1 answer:

mezya [45]2 years ago

8 0

Answer:

∠ YZX ≈ 19.7°

Step-by-step explanation:

using the sine ratio in the right triangle.

sin YZX = $\frac{opposite}{hypotenuse}$ = $\frac{XY}{YZ}$ = $\frac{7.5}{22.3}$ , then

∠ YZX = $sin^{-1}$ ( $\frac{7.5}{22.3}$ ) ≈ 19.7° ( to 3 significant figures )

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20 PTS What is the sixth term of the sequence shown in the table? Term Value 1 –46,656 2 7,776 3 –1,296 4 216 5 6 {SEE IMAGE}

olganol [36]

Answer:

a₆ = 6

Step-by-step explanation:

There is a common ratio r between consecutive terms in the sequence, that is

r = $\frac{216}{-1296}$ = $\frac{-1296}{7776}$ = $\frac{7776}{-46656}$ = - $\frac{1}{6}$

This indicates the sequence is geometric.

To obtain any term in the sequence, multiply the previous term by r, thus

a₅ = 216 × - $\frac{1}{6}$ = - 36

a₆ = - 36 × - $\frac{1}{6}$ = 6

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3 years ago

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Troyanec [42]

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3 years ago

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katrin [286]

Answer:

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Step-by-step explanation:

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4 0

3 years ago

HELP PLEASE 21 POINTS PLEASE HELP ME!!!! <3

Anna007 [38]

1)

n 1 2 3 4 5 6

f(n) 1033 932 831 730 629 528

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Explicit rule: $a_{n} = 1134 - 101n$ Recursive rule: $a_{n} = a_{n-1} - 101$

$a_{n} = a_{1} + d(n - 1)$

$a_{n} = 1033 - 101(n - 1)$

$a_{n} = 1033 - 101n + 101$

$a_{n} = 1134 - 101n$

***********************************************************************************

2)

n 1 2 3 4 5 6

f(n) -39 -29 -19 -9 9 19

First term (a₁): <u> -39 </u> Common difference (d): <u> +10 </u>

Explicit rule: $a_{n} = -49 + 10n$ Recursive rule: $a_{n} = a_{n-1} + 10$

$a_{n} = a_{1} + d(n - 1)$

$a_{n} = -39 + 10(n - 1)$

$a_{n} = -39 + 10n - 10$

$a_{n} = -49 + 10n$

***********************************************************************************

3)

n 1 2 3 4 5 6

f(n) 3.75 2.5 1.25 0 -1.25 -2.5

First term (a₁): <u> 3.75 </u> Common difference (d): <u> -1.25 </u>

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$a_{n} = a_{1} + d(n - 1)$

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$a_{n} = 3.75 - 1.25n + 1.25$

$a_{n} = 5 - 1.25n$

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3 years ago

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lapo4ka [179]

The answer to this question is 360ft^2

8 0

3 years ago