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3 years ago

What is the 14th term of the sequence?

Mathematics

1 answer:

fomenos3 years ago

3 0

Answer:

D. 16,384

Step-by-step explanation:

The given sequence (including "6") is neither arithmetic nor geometric. The 14th term cannot be predicted. (It can be anything you like.)

Based on the answer choices, we assume the intended sequence is the geometric sequence ...

2, 4, 8, 16, 32, ...

which has formula ...

an = 2^n

Then the 14th term is ...

a14 = 2^14 = 16,384

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Elanso [62]

Answer:

The members of the cabinet can be appointed in 121,080,960 different ways.

Step-by-step explanation:

The rank is important(matters), which means that the order in which the candidates are chosen is important. That is, if we exchange the position of two candidates, it is a new outcome. So we use the permutations formula to solve this quesiton.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

$P_{(n,x)} = \frac{n!}{(n-x)!}$

If there are 14 eligible candidates for these positions (where rank matters), how many different ways can the members of the cabinet be appointed?

Permutations of 8 from a set of 14. So

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3 years ago

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barxatty [35]

Answer:

Triangle 1 – ∠1 = 25°, ∠2 = 115° Triangle 2 – ∠1 = 25°, ∠3 = 40°
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Step-by-step explanation:

You can save yourself some trouble if you realize that one of the angles in one pair must match one of the angles in the other pair.

This observation eliminates the first two choices.

Going further, the triangles will be similar if the dissimilar angles together with one of the similar angles totals 180°.

Triangle 1 – ∠1 = 50°, ∠2 = 30°

Triangle 2 – ∠2 = 20°, ∠3 = 100° . . . . . no angles match

Triangle 1 – ∠1 = 60°, ∠2 = 20°

Triangle 2 – ∠1 = 40°, ∠3 = 100° . . . . . no angles match

Triangle 1 – ∠1 = 25°, ∠2 = 115°

Triangle 2 – ∠1 = 25°, ∠3 = 40° . . . . 25° angles match; 25+40+115 = 180

These triangles are similar.

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Triangle 2 – ∠2 = 15°, ∠3 = 160° . . . . 15° angles match; 15+5+160 = 180

These triangles are similar.

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3 years ago

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Alisiya [41]

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2 years ago

If the area of a right triangle is 9/16 sq. ft. and the height is 3/4 ft, write an equation that relates the area to the base,b,

Rudik [331]

Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

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