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2 years ago

A jar contains some bacteria. Every day the number of bacteria

Mathematics

1 answer:

svp [43]2 years ago

3 0

Answer:

Day 2

Step-by-step explanation:

Every 20 days, one jar is full.

To find when it was 1/8 full, we multiply the 20 days by 1/8.

20 x 1/8 = 2

Day 2

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Precal help if you could could you answer both. Me finishing this helps me graduate.

oee [108]

Exercise 1:

The easiest way to compute powers of complex numbers is to write them in the form

$z = \rho e^{i\theta} = \rho(\cos(\theta)+i\sin(\theta))$

In this form, you have

$z^n = \rho^n e^{in\theta} = \rho^n(\cos(n\theta)+i\sin(n\theta))$

The magnitude of the number is given by

$z=a+bi \implies \rho = \sqrt{a^2+b^2}$

So, we have

$z=-1+\sqrt{3}i \implies \rho = \sqrt{1+3}=2$

As for the angle, we have

$z=a+bi \implies \theta = \text{atan2}\dfrac{b}{a}$

So, we have

$z=-1+\sqrt{3}i \implies \theta = \text{atan2}\left(\dfrac{-\sqrt{3}}{-1}\right) = -\dfrac{2\pi}{3}$

Finally,

$z=-1-\sqrt{3}i = 2\left(\cos\left( -\dfrac{2\pi}{3}\right) + i\sin\left( -\dfrac{2\pi}{3}\right)\right) \implies z^6 = 2^6\left(\cos\left( -4\pi\right) + i\sin\left(-4\pi\right)\right) = 64$

Exercise 2:

You simply have to compute the trigonometric function:

$\cos\left(-\dfrac{\pi}{4}\right) = \dfrac{\sqrt{2}}{2},\quad \sin\left(-\dfrac{\pi}{4}\right) = -\dfrac{\sqrt{2}}{2}$

So, we have

$z = \sqrt{2}\left(\dfrac{\sqrt{2}}{2} - i\dfrac{\sqrt{2}}{2}\right) = 1-i$

7 0

3 years ago

Plz help ASAP, giving brainliest!

lapo4ka [179]

D is the answer you want

5 0

3 years ago

What is the greatest whole number that rounds to 2800 when rounded to the nearest hundred? The least whole number? What is the

guapka [62]

add me on fortnite IClapYsn

8 0

3 years ago

Read 2 more answers

Please help me I promise I will mark Brainliest, I need an answer asap!!!!!!!! please hurry!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Fin

ValentinkaMS [17]

Answer:

Step-by-step explanation:

To find the inverse, all we have to do is switch the x and f(x) so instead of f(x) = 5x + 6, it becomes:

x = 5f(x) + 6

x - 6 = 5f(x)

f⁻¹(x) = (x - 6) / 5

6 0

3 years ago

If 3 tons of flower bed mulch cost $480, what is the price per pound?

Goshia [24]

1 ton = 2,000 pounds
3 tons = 6,000 pounds
$480/6,000 = 0.08
per pound is $0.08

6 0

3 years ago