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kramer
3 years ago
12

Write the quotient as a complex number 4-3i/-1-4i

Mathematics
1 answer:
Dmitry [639]3 years ago
6 0

Answer: answer C (8/17+19/17i)


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Zeb wants to make the world's longest shoelace. He has a shoelace that is 22 cm long and another shoelace that is 7 cm longer th
yawa3891 [41]

The correct answer would be 51 cm.

Hope this helps.

7 0
3 years ago
Read 2 more answers
If a substance decays at a rate of 25% every 10 years, how long will it take 512 grams of the substance to decay to 121.5 grams
Juliette [100K]

Answer:

It will take 50 years to decay from 512 grams to 121.5 grams.

Step-by-step explanation:

The decay formula :

N=N_0e^{-\lambda t}

where

N= amount of substance after t time

N₀= initial of substance

t= time.

A substance decays at a rate 25% every 10 years.

So, remaining amount of the substance is = (100%-25%)= 75%

\frac{N}{N_0}=\frac{75\%}{100\%}=\frac{75}{100}=\frac34, t= 10

N=N_0e^{-\lambda t}

\Rightarrow \frac {N}{N_0}=e^{-\lambda t}

\Rightarrow \frac34 =e^{-\lambda .10}

Taking ln both sides

\Rightarrow ln|\frac34| =ln|e^{-\lambda .10}|

\Rightarrow ln|\frac34|=-10\lambda

\Rightarrow \lambda=\frac{ ln|\frac34|}{-10}

Now , N₀= 512 grams, N= 121.5 grams, t=?

N=N_0e^{-\lambda t}

\therefore 121.5=512e^{-\frac{ln|\frac34|}{-10}.t}

\Rightarrow 121.5=512e^{\frac{ln|\frac34|}{10}.t}

\Rightarrow \frac{121.5}{512}=e^{\frac{ln|\frac34|}{10}.t}

Taking ln both sides

\Rightarrow ln|\frac{121.5}{512}|=ln|e^{\frac{ln|\frac34|}{10}.t}|

\Rightarrow ln|\frac{121.5}{512}|={\frac{ln|\frac34|}{10}.t}

\Rightarrow t=\frac{ln|\frac{121.5}{512}|}{\frac{ln|\frac34|}{10}}

\Rightarrow t=\frac{10.ln|\frac{121.5}{512}|}{{ln|\frac34|}}

⇒t=50 years

It will take 50 years to decay from 512 grams to 121.5 grams.

8 0
3 years ago
PLEASE HELP MEEEEEEEEEEEEEEEEEEEEEE
dezoksy [38]

45+35=80

100-80=20

360×20/100

72 so the answer is this and the formula E=T×%/100

6 0
3 years ago
Trig please help
enot [183]

Answer:

One

Step-by-step explanation:

9/sin(34) = 6/sinC

sinC = 0.372795269

C = 21.9, 158.1

Since 158.1 + 34 = 192.1 > 180

It will not form a triangle

So,

Only one triangle with angle 21.9° at C

5 0
3 years ago
I need help anyone please
liraira [26]

Answer:

B)

Step-by-step explanation:

The slope is 2/4=1/2

The y-intercept is 3

Given the shaded area, y is going to be less than or equal to.

So B is correct

7 0
3 years ago
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