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ss7ja [257]
3 years ago
5

The first term of an arithmetic sequence is -30 and the common difference is 8. Find the 20th term.

Mathematics
1 answer:
Sedaia [141]3 years ago
4 0

Answer:

122.

Step-by-step explanation:

nthe term = a1 + d(n - 1) so here:

20th term = -30 + 8(20 - 1)

- 30 +  152

= 122.

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You are playing a game where you draw a card from a standard deck, and you will win $13 if you draw a face card,
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Answer:

Step-by-step explanation:

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There are 3 face cards / suit. Every suit contains a Jack, Queen, and king.

There are 4 suits so the number of face cards is 3*4 =  12

There is 1 ace / suit

There are 4 suits so the number of aces is 1 * 4 = 4

The gain from the face cards = 12 * 13 = 156

The gain from the aces = 4 * 3 =               12

Total gain = 168

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Any other card costs you $5

How many cards is that? 52 - 16 = 36

Each one costs 5 dollars

Total loss = 5 * 36 = 180

So each time you play the game, you can expect to lose 180 - 68 = 12 dollars. You should walk away quickly from this one.

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2 years ago
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yanalaym [24]
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An instructor of a large college class gave an exam that has a possible total of 100 points. The instructor records the scores o
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3 years ago
Using the completing-the-square method, rewrite f(x) = x2 + 10x + 7 in vertex form
mr Goodwill [35]

Answer:

f(x) = (x - (-5))^2 + (-18)

Step-by-step explanation:

Given:

f(x) = x^2 + 10x + 7

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f(x) = ax^2 + bx + c is a quadratic function.

The vertex form of f(x) is a(x - h)^2 + k, where (h, k) is the vertex.

=> f(x) = x^2 + 10x + 7

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