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3 years ago

Solve 13 ASAP PLEASE

Mathematics

1 answer:

Ludmilka [50]3 years ago

5 0

Answer:

Step-by-step explanation:

Apricot Sulphur 2.625

White-angled Sulphur 3.5

Great White = sqrt(17) = 4.123

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Perform the indicated operation and express the result as a simplified complex number. I need help with 35

skelet666 [1.2K]

Given:-

$\frac{3+4i}{2-i}$

To find:-

The simplified form.

At first we take conjucate and multiply below and above.

The conjucate is,

$2+i$

So now we multiply. we get,

$\frac{3+4i}{2-i}\times\frac{2+i}{2+i}$

Now we simplify. so we get,

$\frac{3+4i}{2-i}\times\frac{2+i}{2+i}=\frac{6+3i+8i+4(i)^2}{2^2-i^2}$

We know the value of,

$i^2=-1$

Substituting the value -1. we get,

$\begin{gathered} \frac{6+3i+8i+4(i)^2}{2^2-i^2}=\frac{6+3i+8i+4(-1)_{}^{}}{2^2-(-1)^{}} \\ \text{ =}\frac{6-4+11i}{2+1} \\ \text{ =}\frac{2+11i}{3} \end{gathered}$

So now we split the term to bring it into the form a+ib. so we get,

$\frac{2+11i}{3}=\frac{2}{3}+i\frac{11}{3}$

So the required solution is,

$\frac{2}{3}+i\frac{11}{3}$

3 0

1 year ago

A 4-pint carton of sour cream costs $7.24. What is the price per quart if there are 2 pints in a quart?

slamgirl [31]

The price if there are 2 pints in a quart is $3.62.

4 0

3 years ago

NOOOOOOOO LINNNKKKKSSSSSSSS!!!!!!

mr Goodwill [35]

39 ………………………………………………………………

7 0

3 years ago

Read 2 more answers

4+8x(18+5)+18+(8x4x5)+0x(5+3)=

Natasha_Volkova [10]

The Mathematical statement which includes addition, subtraction and multiplication:

→4+8x(18+5)+18+(8x4x5)+0x(5+3)

= 4 + 8 × 18 + 8 × 5 + 18 +(32 × 5) + 0 × 5 + 0 × 3 → [ Using distributive property which is , a × (b +c)= a × b + a × c, and (p × q × r)= [ (p × q) × r]

= 4 + 144 + 40 + 18 + 160 + 0 + 0

= 148 + 58 + 160 → [ Using addition property of natural numbers, as you can add natural numbers in any order]

= 206 + 160

= 366

5 0

4 years ago

Population Growth

ohaa [14]

Answer:

Step-by-step explanation:

Given that the number of a certain type of bacteria increases continuously at a rate proportional to the number present.

Initial population = 150

Hence equation for population P would be

$P(t) = 150e^{kt}$ where t = time in hours

When t=5, P = 450

Substitute to get

$3 = e^{5k}$

k=0.2197

$P(t) = 150e^{0.2197t}$ is P(t)

P will double when

$300 = 150e^{0.2197t}$

t =3.155

Between 3rd and 4th it would double

c) Yes it doubles when 3.155 hours lapsed from the start time since t in the equation is time lapsed from start time.

6 0

3 years ago