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3 years ago

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What is the square root of -16 complex numbers

1 answer:

True [87]3 years ago

8 0

Answer:

The square root of -16 would be 4 i. Hope this helps!

Step-by-step explanation:

You might be interested in

Find S12 for geometric series: (-7.5) + 15 + (-30) + ...

kolezko [41]

Answer:

S12 for geometric series: (-7.5) + 15 + (-30) + ... would be: 10237.5

Step-by-step explanation:

Given the sequence to find the sum up-to 12 terms

$(-7.5) + 15 + (-30) + ...$

As we know that

A geometric sequence has a constant ratio 'r' and is defined by

$a_n=a_1\cdot r^{n-1}$

$\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\quad \:r=\frac{a_{n+1}}{a_n}$

$\frac{15}{\left(-7.5\right)}=-2,\:\quad \frac{\left(-30\right)}{15}=-2$

$\mathrm{The\:ratio\:of\:all\:the\:adjacent\:terms\:is\:the\:same\:and\:equal\:to}$

$r=-2$

$\mathrm{The\:first\:element\:of\:the\:sequence\:is}$

$a_1=\left(-7.5\right)$

$a_n=a_1\cdot r^{n-1}$

$\mathrm{Therefore,\:the\:}n\mathrm{th\:term\:is\:computed\:by}\:$

$a_n=\left(-7.5\right)\left(-2\right)^{n-1}$

$a_n=-\left(-2\right)^{n-1}\cdot \:7.5$

$\mathrm{Geometric\:sequence\:sum\:formula:}$

$a_1\frac{1-r^n}{1-r}$

$\mathrm{Plug\:in\:the\:values:}$

$n=12,\:\spacea_1=\left(-7.5\right),\:\spacer=-2$

$=\left(-7.5\right)\frac{1-\left(-2\right)^{12}}{1-\left(-2\right)}$

$=-7.5\cdot \frac{1-\left(-2\right)^{12}}{1+2}$

$\mathrm{Multiply\:fractions}:\quad \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}$

$=-\frac{-30712.5}{1+2}$ ∵ $\left(1-\left(-2\right)^{12}\right)\cdot \:7.5=-30712.5$

$=-\frac{-30712.5}{3}$

$=\frac{30712.5}{3}$

$=10237.5$

Thus, S12 for geometric series: (-7.5) + 15 + (-30) + ... would be: 10237.5

5 0

3 years ago

Factoring quadratic with a common factor Factor completely 2x^2-18x+36

rodikova [14]

Answer:

$2 {x}^{2} - 18x + 36 \\ 2 {x}^{2} - 12x - 6x + 36 \\ 2 x(x - 6) - 6(x - 6) \\ (2x - 6)(x - 6)$

6 0

3 years ago

Use the fact that 1 gallon = 4.5 L to change 8 gallons into L.

dedylja [7]

Final Answer :

36 L

Step-by-step explanation:

4.5 L × 8 gallons = 36

3 0

3 years ago

Read 2 more answers

Twenty-four distinguishable balls are to be placed in six boxes.(DIFFERENT BOXES) (a) In how many different ways can this be don

zvonat [6]

Answer: a) 124,596, b) 2142691552.

Step-by-step explanation:

Since we have given that

Number of distinguishable balls = 24

Number of boxes = 6

(a) In how many different ways can this be done?

$^{24}C_6\\\\=134,596$

(b) In how many different ways can this be done if box 1 must get 12 balls, box 2 must get 7 balls, box 3 must get 5 balls, and boxes 4, 5, and 6 must be empty?

Number of ways would be

$\dfrac{24!}{12!7!5!}=2142691552$

Hence, a) 124,596, b) 2142691552.

3 0

3 years ago

cookies are sold singly or in packages of 12 or 36. With this packaging, how many ways can you buy 72 cookies?

Fittoniya [83]

There are 3 different ways you can buy 72 cookies. You can buy 6 packs of 12 cookies. You could buy 2 packs of 36 cookies. You could by 1 pack of 36 and 3 packs of 12 to get 72 cookies.

8 0

3 years ago