221 to the base 5
this is bases (7th grade)

It sounds like you want to convert 221 from base 10 to base 5.

The largest power of 5 that fits into 221 is 5³ = 125, and

221 = 125 + 96

221 = 1•5³ + 96

The largest power of 5 that fits into the remainder 96 is 5² = 25, and

96 = 75 + 21

96 = 3•25 + 21

96 = 3•5² + 21

→   221 = 1•5³ + 3•5² + 21

The largest power of 5 that fits into the remainder 21 is 5¹ = 5, and

21 = 20 + 1

21 = 4•5¹ + 1

→   221 = 1•5³ + 3•5² + 4•5¹ + 1

Finally, 1 = 5⁰, so

221 = 1•5³ + 3•5² + 4•5¹ + 1•5⁰

and

221₁₀ = 1341₅

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11