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Licemer1 [7]
3 years ago
11

Find the sum of the first six terms of the geometric series 1 + 4 + 16 + ...

Mathematics
1 answer:
Mrac [35]3 years ago
7 0

Answer:

1365

Step-by-step explanation:

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How do I find the value of x
IgorC [24]

Answer:

<u><em>The value of x is 2.6</em></u>

Step-by-step explanation:

<em>Use pythagorean theorem</em>

a^2+b^2=c^2

<em>Then substitute</em>

1^2+2.4^2=c^2

<em>Then evaluate</em>

1+5.76=c^2

<em>Add</em>

c^2=6.76

<em>Isolate c by finding the sqrt of 6.76</em>

c=2.6

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3 years ago
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About 89 gallons of gas
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3 years ago
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In a small town, the use of coal (W in tons/per
zimovet [89]

Answer:

i)W = 2500 / T

ii)  W = 500 Tons

iii) grad W(10°) = - 25î

iv) The formulation is not practical

Step-by-step explanation:

i)  Write an equation describing the use of coal

As use of coal is inversely proportional to the average monthly temperature

if  W is use of coal in tons/per month then

W(t)  =   k / T              where k is a constant of proportionality and T is the average temperature in degrees. We have to determine k from given conditions

k  =  ??   we know that when   T  =  25°    W = 100 tons  the by subtitution

W = k/T           100  =  k /25       k  =  2500 Tons*degree

Then final equation is:

W = 2500 / T

ii) Find the amount of coal when T = 5 degrees

W = 2500 / 5

W = 500 Tons

iii)

The inverse proportionality implies that W will decrease as T increase.

The vector gradient of W function is:

grad W  = DW(t)/dt î  

grad W  = - 2500/T² î

Wich agrees with the fact that W is decreasing.

And when T = 100°

grad W(10°) =  - 2500/ 100 î      ⇒  grad W(10°) = - 25î

iv) When T =  0  The quantity of coal tends to infinite and the previous formulation is not practical

5 0
3 years ago
Is -20 an irrational number or rational number
Gekata [30.6K]

Answer: Rational number

Step-by-step explanation:

Let's write out the properties of rational and irrational numbers.

Rational

  • Integers
  • Whole numbers
  • finite decimals
  • repeating decimals

Irrational

  • not rational numbers

------------------------------------------------------------------------------------------------------------

Looking at the list we made, we can say that -20 is a rational number. -20 is an integer and a whole number. Therefore, it is a rational number.

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mr Goodwill [35]

Answer:

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Step-by-step explanation:

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