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3 years ago

Find the sum is of the geometric series 12+6+3+...

1 answer:

3 0

$S=12+6+3+...\\\\a_1=12;\ a_2=6;\ a_3=3\\\\r=a_2:a_1\\\\r=6:12=\dfrac{1}{2} \ \textless \ 1\\\\therefore\ S=\dfrac{a_1}{1-r}\\\\S=12+6+3+...=\dfrac{12}{1-\frac{1}{2}}=\dfrac{12}{\frac{1}{2}}=12\cdot\dfrac{2}{1}=24\\\\Answer:\boxed{12+6+3+...=24}$

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Julia has correctly answered 35 questions from a test, which is 7/12 of the total. How many questions did the test have?

otez555 [7]

Answer:

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Step-by-step explanation:

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3 years ago

If the mean of five values is 8.6 and four of the values are 10, 7, 8, and 7, find

Anna007 [38]

Answer:

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2 years ago

A correction of "six less than twice the value of x" is

nordsb [41]

Answer:

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3 years ago

CALCULUS: Determine which function is a solution to the differential equation y ' − y = 0.

Montano1993 [528]

C: none of these are solutions to the given equation.

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• If y(x) = x, then y' = 1, but y' - y = 1 - x ≠ 0.

The actual solution is easy to find, since this equation is separable.

y' - y = 0

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∫ dy/y = ∫ dx

ln|y| = x + C

y = exp(x + C )

y = C exp(x) = C eˣ

8 0

3 years ago

To earn a fitness reward, your average heart rate while walking must be between 80 and 89 beats per minute, inclusive. Suppose y

eimsori [14]

Answer:

Between 67 and 103 beats per minute

Step-by-step explanation:

The minimum would be 80. That means that the minimum sum would have to be 320 among the four numbers.

85+81+87=253

320-253=67 so 67 will be the minimum

now, we should see the maximum. It will be 89 so the sum of the four numbers cannot be anymore than 89*4 which is 356

So, 356-253=103

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3 years ago