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Feliz [49]
3 years ago
14

6^x = 216 how to solve? 6 to the power of x equals 216.

Mathematics
1 answer:
Nataly_w [17]3 years ago
8 0
6 \cdot 6\cdot 6 = 6^3 = 216\\\\6^x = 6^3 = 216\\\\\\\boxed{\bf{x=3}}
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A culture started with 6,000 bacteria. After 4
Oksanka [162]

19539 bacteria will be present after 18 hours

<u>Solution:</u>

Initial value of bacteria N = 6000

Value after 4 hours N_o = 7800

<em><u>The standard exponential equation is given as:</u></em>

N=N_{o} E^{-k t}

where

N is amount after time t

No is the initial amount

k is the constant rate of growth

t is time

Plugging in the values in formula we get,

7800 = 6000E^{-4k}

Solving for "k" we get,

\frac{13}{10}=E^{-4k}

Taking "ln" on both sides, we get

ln\frac{13}{10} = -4k

\frac{ln\frac{13}{10}}{4} = -k

On solving for ln, we get k = -0.0656

The equation becomes, N = 6000E^{0.0656t}

Now put "t" = 18,

N = 6000E^{0.0656 \times 18}\\\\N = 6000 \times 3.256 = 19539

Hence the bacteria present after 18 hours is 19539

5 0
3 years ago
900 is 10 times as much as what numbers
stich3 [128]
The answer is: 90 you can calculate this: 900/10=90
8 0
3 years ago
Read 2 more answers
Scientists found that a certain particle of dust doubles every 30 minutes. If the scientists tests this out with 21 grams of the
monitta

Answer: 1.663\times 10^{30}\ gm

Step-by-step explanation:

Given

Population of dust particle doubles every 30 minutes

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The model to predict the population will be

\Rightarrow P=21\cdot 2^{2t}

Where t=time in hours

A day has 24 hours . So, for 2 days time is 48 hours

Population is given by

\Rightarrow P=21\cdot 2^{2\times 48}\\\\\Rightarrow P=21\times 2^{96}\\\\\Rightarrow P=1.663\times 10^{30}\ gm

7 0
3 years ago
Which value of x is in the domain of f(x) = x – 8?
Tanzania [10]

Answer:

b. x=10

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5 0
3 years ago
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I need the answer to a and b
erica [24]

Answer:

a. x = 7

b. x = 36/5

Step-by-step explanation:

<u>Points to remember</u>

The ratio of of corresponding sides of similar triangles are equal.

<u>a). To find the value of x</u>

From the figure 1 we get two similar triangles, ΔABC and ADE

We can write,

AB/AD = AC/AE

3/6 = x/(x + 7)

3(x + 7) = 6 * x

3x + 21 = 6x

6x - 3x = 21

3x = 21

x = 21/3 = 7

<u>b). To find the value of x</u>

From the figure b we get

ΔABC ~  ΔEDF

AB/DE = BC/DF

4/5 = x/9

x = (4 * 9)/5 = 36/5

7 0
3 years ago
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