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iren [92.7K]
3 years ago
8

Find the first, fourth, and eighth terms of the sequence. a(n)=-2 x 2^n-1

Mathematics
1 answer:
leonid [27]3 years ago
8 0

Answer:

2, 16 and 256.

Step-by-step explanation:

Just substitute  for n:-

first term ( when n = 1) =  2 * 2^(1-1)

= 2 * 1 =  2

4th term =  2 * 2^(4-1) =  16

8th term = 2* 2^(8-1) = 256

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Nolan and his children went into a grocery store and he bought $8 worth of apples
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Nolan and his children bought fruits (Apples and bananas) worth $8.

Cost of each apple and bananas are $2 and $0.40 respectively.

Let the number of bananas he bought = y

And the number of apples = x

Therefore, cost of the apples =$2x

And the cost of bananas = $0.40y

Total cost of 'x' apples and 'y' bananas = $(2x + 0.40y)

Equation representing the total cost of fruits will be,

(2x + 0.40y) = 8

10(2x + 0.40y) = 10(8)

20x + 4y = 80

5x + y = 20 --------(1)

If he bought 5 times as many bananas as apples,

y = 5x ------(2)

Substitute the value of y from equation (2) to equation (1),

5x + 5x = 20

10x = 20

x = 2

Substitute the value of 'x' in equation (2)

y = 5(2)

y = 10

Therefore, Nolan bought 2 apples and 10 bananas.

Learn more,

brainly.com/question/14951851

8 0
3 years ago
Amanda is selling cupcakes to raise money for charity. On the first day, she sells 12 cupcakes for a total of $64.68. On the sec
stiv31 [10]
The exact answer would be 167.09 so if you round the closest answer is D. $170
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3 years ago
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Help me with this please
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63/12 = 4.2

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7 0
3 years ago
The numbers 7, 11, 12, 13, 14, 18, 21, 23, 27, and 29 are written on separate cards, and the cards are placed on a table with th
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Answer:

3/10

Step-by-step explanation:

<em>Step 1 : Write the formula of calculating probability</em>

Probability = Number of favourable outcomes/Number of total outcomes

<em>Step 2 : Identify the favourable (requires) outcomes and the total outcomes</em>

  • Total outcomes are the total cards that are placed on the table = 10 cards
  • The favourable outcomes are the number of cards that have an even number on them.

       12, 14, 18 = 3 cards

<em>Step 3 : Substitute the values in the formula</em>

Probability = Number of favourable outcomes/Number of total outcomes

Probability = 3/10

Therefore, the probability of picking a card with and even number is 3/10.

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3 years ago
Write a fraction whose numerator and denominator add up to 9​
aalyn [17]

Answer:

5/4

Step-by-step explanation:

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