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3 years ago

How do i solve this using imaginary numbers? PLEASE HELP

Mathematics

1 answer:

Tasya [4]3 years ago

8 0

Answer:

14 -2i

Step-by-step explanation:

9 + sqrt(-4) - ( -5 + sqrt(-16))

We know the sqrt of a negative number is i * sqrt(number)

9 + isqrt(4) - ( -5 + isqrt(16))

9 + 2i - (-5 + 4i)

Distribute the negative sign

9+2i +5 -4i

Combine like terms

14 -2i

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A square base that covers an area of 25 ft squared what is the length of one side of the tent?

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Niklas takes a dose of 252525 micrograms (\text{mcg})(mcg)left parenthesis, m, c, g, right parenthesis of a certain supplement e

11Alexandr11 [23.1K]

Niklas takes a dose of 25 micrograms of a certain supplement each day. The supplement has a half life of 4 hours, meaning that 1/64 of the supplement remains in the body after each day. How much of the supplement is in Niklas's body immediately after the 12th dose? Round your final answer to the nearest hundredth.

Answer:

The amount of the supplement in Niklas body immediately after the 12th dose is 430 micrograms to the nearest hundreth

Step-by-step explanation:

Half life is the time required for an element to decay into half of its initial size.

Given that :

The supplement has a half life of 4 hours, this implies that it decay to half of its size every 4 hours.

∴ there are 6 stages of division in a day.

i.e

$\dfrac{1}{2}*\dfrac{1}{2}*\dfrac{1}{2}*\dfrac{1}{2}*\dfrac{1}{2}*\dfrac{1}{2} =\dfrac{1}{64}$

The amount of the supplement in Niklas body after the first dose (first day) can be calculated as:

= $\dfrac{1}{64}$ × 25

= 0.390625 micrograms

It is said that he used the supplement daily for 12 days (12th dose),

As such ; we can estimate the amount of the supplement that is in his body immediately after the 12th dose; which is calculated as:

amount in his body per day × number of period for complete decay

= 0.390625 × 11

= 4.296875

≅4.30 micrograms

= 430 micrograms to the nearest hundreth

The amount of the supplement in Niklas body immediately after the 12th dose is 430 micrograms to the nearest hundreth

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3 years ago

How to write 0.875 as a fraction or mix number to the lowest term?

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4 years ago

The mean and standard deviation of the number of practices are = 8 practices and sx = 4.47 practices. The mean and standard devi

ddd [48]

Least square regressions are used to find the equation of <em>best fit between two variables</em>.

The equation of the least-squares regression line is: $\mathbf{y = 9.414 - 0.213x}$

The given parameters are:

$\mathbf{\bar x = 8}$

$\mathbf{\sigma_x = 4.47}$

$\mathbf{\bar y = 7.71}$

$\mathbf{\sigma_y = 1.20}$

$\mathbf{r = -0.793}$

The equation of the least-squares regression line is represented as:

$\mathbf{y = a + bx}$

Where:

$\mathbf{b = r \times \frac{\sigma_y}{\sigma_x}}$

$\mathbf{a = \bar y - b\bar x}$

So, we have:

$\mathbf{b = r \times \frac{\sigma_y}{\sigma_x}}$

$\mathbf{b = -0.793 \times \frac{1.20}{4.47}}$

$\mathbf{b = -0.213}$

$\mathbf{a = \bar y - b\bar x}$

$\mathbf{a = 7.71 - (-0.213) \times 8}$

$\mathbf{a = 9.414}$

So, the equation is:

$\mathbf{y = a + bx}$

$\mathbf{y = 9.414 - 0.213x}$

Read more about equations of least squares regression at:

brainly.com/question/2141008

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2 years ago