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AURORKA [14]
1 year ago
15

Find the modulus if the complex number 6-8i

Mathematics
1 answer:
NikAS [45]1 year ago
6 0

|a+bi|=\sqrt{a^2+b^2}

|6-8i|=\sqrt{6^2+(-8)^2}=\sqrt{36+64}=\sqrt{100}=10

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If a bacteria population starts with 100 bacteria and doubles every three hours, then the number of bacteria after t hours is n
natali 33 [55]

Answer:

f^{-1}=3ln_2(\frac{t}{100})

f^-1 represents the number of hours the bacteria developed

Step-by-step explanation:

f(t) = 100 \cdot  2^\frac{t}{3}

To find inverse of a function , replace f(t) with y

y= 100 \cdot  2^\frac{t}{3}

replace t with y and y with x

x= 100 \cdot  2^\frac{y}{3}

solve for y

divide both sides by 100

\frac{x}{100} =2^\frac{y}{3}

take ln on both sides

ln \frac{x}{100} =\frac{y}{3}ln 2

divide both sides by ln

ln_2(\frac{x}{100}) =\frac{y}{3}

multiply by 3 on both sides

y=3ln_2(\frac{x}{100})

Replace x with t  and y with f^-1

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f^-1 represents the number of hours the bacteria developed

7 0
3 years ago
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NISA [10]
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8 0
3 years ago
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I need help on this
Tanya [424]

Answer:

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Step-by-step explanation:

Please see the step-by-step solution in the picture attached below.

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AleksandrR [38]

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1 1/2

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hope this helped!
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