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Hatshy [7]
3 years ago
8

The first four terms of a sequence are shown below. 2, 9, 40.5, 182.25 . . . What is the next number in the sequence?

Mathematics
1 answer:
Law Incorporation [45]3 years ago
5 0

Answer:

it is 820.125

Step-by-step explanation:

divide the second term by the first term to find what the multiple is.

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Prove that if a is a natural number, then there exist two unequal natural numbers k and l for which ak−al is divisible by 10.
EastWind [94]
Assume a is not divisible by 10. (otherwise the problem is trivial). 
<span>Define R(m) to be the remainder of a^m when divided by 10. </span>
<span>R can take on one of 9 possible values, namely, 1,2,...,9. </span>
<span>Now, consider R(1),R(2),......R(10). At least 2 of them must have the sames value (by the Pigeonhole Principle), say R(i) = R(j) ( j>i ) </span>
<span>Then, a^j - a^i is divisible by 10.</span>
8 0
3 years ago
Read 2 more answers
A computer was on sale for 3/4 of the original price. If the original price was $1,600 what was the sale price?
Gre4nikov [31]

Answer:

$1200

Step-by-step explanation:

3/4 of 1600 is 1200

7 0
2 years ago
camelbeck mountain has an elevation change of 1,264 feet. how many pennies would it take to make a stack that high? show all wor
mixer [17]
Camel back Mountain = 15,168 inches (1,264 feet)
1 Penny = 0.061 (.0610) Inches
10 Penny = 0.61 (.610) Inches
100 Penny = 6.1 (6.10) Inches
1,000 Penny = 61 (61.0) Inches
10,000 Penny = 610 (610.0) Inches
-SOLVING-
10,000 Penny = 610 inches PLUS
1,000 Penny = 61 inches AND 61 inches x 5 = 305 (5,000 Penny)
100 Penny = 6.1 inches PLUS
10 Penny = 0.61 inches AND 0.61 inches x 6 = 3.66 (60 Penny)
1 Penny = 0.061 inches AND 0.061 inches x 8 = 0.488 (8 Penny)
-FINAL ANSWER-
610 + 305 + 6.1 + 3.66 + 0.488 = 925.248 Penny it would take.
8 0
2 years ago
Solving Exponential and Logarithmic Equations In Exercise, solve for x.<br> In x = 3
mixer [17]

Answer:

The solution is:

x = e^{3} = 20.09

Step-by-step explanation:

The first step to solve this equation is placing everything with the logarithmicto one side of the equality, and everything without the exponential to the other side. So

\ln{x} = 3

It already is in the desired format.

Now, we have that, since e and ln are inverse operations

e^{\ln{a}} = a

So, we apply the exponential to both sides of the equality

e^{\ln{x}} = e^{3}

x = e^{3} = 20.09

7 0
3 years ago
Emily purchased 5 packages of bottled water for $14.95. Each package of bottled water cost the same amount.What is the cost per
attashe74 [19]

Answer:

$2.9

Step-by-step explanation:

<u>Given the following data;</u>

Total cost of package = $14.50

Number of package = 5

To find the cost of each package;

Cost \; per \; package = \frac {Total \; cost \; of \; package}{Number \; of \; package}

Substituting into the equation, we have;

Cost \; per \; package = \frac {14.5}{5}

Cost per package = $2.9

<em>Therefore, the cost per package of bottled water is $2.9.</em>

3 0
2 years ago
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