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Step2247 [10]
2 years ago
9

Ramesh examined the pattern in the table. Powers of 7 Value 2,401 343 49 7 1 Ramesh says that based on the pattern . Which state

ment explains whether Ramesh is correct?
Mathematics
2 answers:
earnstyle [38]2 years ago
7 0

1) You included neihter what Ramesh says nor the statements, then I can you tell some facts about the pattern.


2) The sequence is: 2401, 343, 49, 7, and 1.


3) The first term is 2401


4) The sequence is a decreasing geometric one.


5) The ratio is found dividing two consecutive terms (the second by the first, or the third by the second, or the fourth by the third, or the fifth by fourth):


1/7 = 7 / 49 = 49 / 343 = 343 / 2401.


So, the ratio is 1/7


6) The sum of that sequence is 2401 + 343 + 49 + 7 + 1 = 2801



Setler [38]2 years ago
6 0

Answer:

D. Ramesh is not correct because as the exponents decrease, the previous value is divided by 7

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Answer:

The anwers is D

Step-by-step explanation:

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You offer senior citizens a 20 percent discount on their meal prices served at your cafeteria. Assuming that an average of 150 s
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Given, there are an average of 150 citizens eat daile in the cafeteria.

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The discount given for sinior citizens in their meals = 20%

So we have to find 20% of $5.95 first.

20% of $5.95 = (5.95)(\frac{20}{100} )

= \frac{(5.95)(20)}{100}

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Option C is correct here.

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Milton spilled some ink on his homework paper. He can't read the coefficient of $x$, but he knows that the equation has two dist
Lera25 [3.4K]

Answer:

Sum = -81

Step-by-step explanation:

See the comment for complete question.

Given

c = 36 ----- Constant

No coefficient of x^2

Required:

Determine the sum of all distinct positive integers of the coefficient of x

Reading through the complete question, we can see that the question has 3 terms which are:

x^2 ---- with no coefficient

x ---- with an unknown coefficient

36 ---- constant

So, the equation can be represented as:

x^2 + ax + 36 = 0

Where a is the unknown coefficient

From the question, we understand that the equation has two negative integer solution. This can be represented as:

x = -\alpha and x = -\beta

Using the above roots, the equation can be represented as:

(x + \alpha)(x + \beta) = 0

Open brackets

x^2 + (\alpha + \beta)x + \alpha \beta = 0

To compare the above equation to x^2 + ax + 36 = 0, we have:

a = \alpha + \beta

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Where: \alpha, \beta and \alpha \ne \beta

The values of \alpha and \beta that satisfy \alpha \beta = 36 are:

\alpha = -1 and \beta = -36

\alpha = -2 and \beta = -18

\alpha = -3 and \beta = -12

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So, the possible values of a are:

a = \alpha + \beta

When \alpha = -1 and \beta = -36

a = -1 - 36 = -37

When \alpha = -2 and \beta = -18

a = -2 - 18 = -20

When \alpha = -3 and \beta = -12

a = -3 - 12 = -15

When \alpha = -4 and \beta = -9

a = -4 - 9 = -13

At this point, we have established that the possible values of a are: -37, -20, -15 and -9.

The required sum is:

Sum = -37 -20 -15 - 9

Sum = -81

7 0
2 years ago
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