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zimovet [89]
3 years ago
15

How do I write an explicit rule for this sequence?

Mathematics
2 answers:
Vaselesa [24]3 years ago
8 0

Answer:

next should be 2250 if my math is correct

jeyben [28]3 years ago
4 0

Answer:

a_{n} = 10(5)^{n-1}

Step-by-step explanation:

Note that consecutive terms have a common ratio, that is

50 ÷ 10 = 250 ÷ 50 = 1250 ÷ 250 = 5

This indicates that the sequence is geometric with n th term ( explicit rule )

a_{n} = a(r)^{n-1}

where a is the first term and r the common ratio,

Here a = 10 and r = 5, thus

a_{n} = 10(5)^{n-1} ← explicit rule

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Three- toed sloths move very slowly, using as little energy as possible. They sleep, eat, and even give birth upside down. A bab
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<span>Three- toed sloths move very slowly, using as little energy as possible. They sleep, eat, and even give birth upside down.
 
A three-toes sloth usually sleeps 101 hours per week.

Since the baby sloth clings to its mum for 36 weeks and we know that it sleeps 101 hours per week, therefore, we can simply calculate the duration of its sleep as follows:
duration of baby sloth's sleep in 36 weeks = 36 x 101 = 3636 hours</span>
6 0
3 years ago
Rose has $83. She is saving up for a new bike. If she saves $15 per week, how much money will she have after 8 weeks?
bonufazy [111]

Answer:

$203

Step-by-step explanation:

15x8=$120

120+83=$203

7 0
3 years ago
Read 2 more answers
Ivy checks to see how many people are waiting in line. She notes that there are 120 possible line arrangements for the people th
Marina86 [1]

The total number of persons standing in the line waiting for ordering pizza are 5.

Explanation:

There are 5 people in total so the first place can be occupied by any of the 5 persons.

Secondly the second place in the line can be occupied by any of the 4 persons left.  

Then the third place will be occupied by any remaining 3 persons as the front two places are already occupied.

Similarly the fourth place will be taken by any of the remaining two people. And lastly the last place will b filled by the last remaining person.

So the total number of ways will be 5*4*3*2*1 = 120 ways that is given in the question.

5 0
3 years ago
Kristin wants to buy a pair of jeans that cost $35 and are on sale
Genrish500 [490]

Answer:

$51.10

Step-by-step explanation:

First, find 20% of $35, then add the sale price of the jeans and the two t-shirts. Take the total and find the sales tax and add that onto the cost.

100 - 20 = 80 If you multiply the jeans by 80% it gives you the price for the jeans saving you from having to subtract the discount from the original price.

35 * 0.80 =  $28.00 jeans                     28.00                             47.98

                                                                  9.99                             <u>+ 3.12</u>

                                                           <u>  +   9.99</u>                            $51.10

                                                                47.98

                                                           <u>X   0.065</u>

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3 0
3 years ago
El perímetro de un rectángulo es 28cm, uno de los lados es 6cm más que el otro lado. Hallar el mayor lado del rectángulo.
son4ous [18]

Answer: El mayor lado del rectangulo tiene 10cm

Step-by-step explanation:

El perímetro de un rectángulo puede escribirse como:

P = 2*L + 2*A

Donde L es el largo y A es el ancho.

Sabemos que uno de los lados es 6cm mas largo que el otro, entonces podemos escribir:

L = A + 6cm.

P = 28cm = 2*L + 2*A

podemos reemplazar la primera ecuación en la segunda:

28cm = 2*(A + 6cm) + 2*A

28cm =  12cm + 4*A

28cm - 12cm = 4*A

16cm/4 = A

4cm = A.

Entonces el ancho es 4 cm, y el largo es L = 4cm + 6cm = 10cm

4 0
3 years ago
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