For what value of n does (1/36)^n=216

Mathematics

2 answers:

alukav5142 [94]4 years ago

7 0

(1/36)^n = 216

(6^-2)^n = 6^3

6^(-2n) = 6^3

-2n = 3

n =-3/2

n = -1.5

xz_007 [3.2K]4 years ago

5 0

(1/36)^n=216

(1/2^2 * 3^2)^n=216

n=-3/2

You might be interested in

Slope= -3; (1, 2) is on the line

wolverine [178]

Step-by-step explanation:

By 2 point form

y-y1= m(x-x1)

y-2 = -3(x-1)

y-2=-3x+3

3x+y=5... this is the required line

7 0

3 years ago

SHIFT 2: 18 25 56 42 29 38 54 47 35 30. SHIFT 2: 23 19 50 49 67 34 30 59 40 33. SHIFT 3: 19 22 24 40 45 29 33 29 39 59. SHIFT 4:

guapka [62]

To answer this question you will need to calculate the mean for each of the Shifts and then compare those means to the mean of all the data given. I have attached a picture of the means for each shift and the population mean (all the data).

Shift 1 is the closest to the population mean. It is 37.4, and the population mean is 35.9.

6 0

3 years ago

Select the quadratic equation that has roots x=8 and x=-5

stellarik [79]

Step-by-step explanation:

Since, x=8 and x=-5 are the roots.

Therefore, (x - 8) & (x - 5) will be factors.

Hence, required quadratic equation can be given as:

$(x - 8)(x - 5) =0 \\ \\ \therefore {x}^{2} + ( - 8 - 5) x+ ( - 8) \times ( - 5) = 0 \\ \\ \therefore {x}^{2} + ( - 13) x+ 40= 0 \\ \\ \huge \red{ \boxed{ \therefore {x}^{2} - 13x+ 40= 0 }} \\ is \: the \: required \: quadratic \: equation.$