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Bas_tet [7]
2 years ago
13

The number of hours, t, that bacteria spread 10-fold can be modeled by the equation B(t) = B0(10)4t. There are 50 bacteria prese

nt initially and a biologist wishes to find out how many hours will elapse until there are 10,000 bacteria present. What is the exact value for the number of hours elapsed, t, in the equation 10,000 = 50(10)4t?
Mathematics
1 answer:
andreyandreev [35.5K]2 years ago
8 0

Answer:

t = (log200)/4 hours

Step-by-step explanation:

10,000 = 50(10)^(4t)

Divide both sides by 50

200 = 10^(4t)

Take the log of both sides

log200 = 4t

Divide both sides by 4

(log200)/4 = t

t = (log200)/4    (exact answer)

t ≈ 0.575257498915995 (numeric approximation)

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Which expression is equivalent to 144^3/2
Tju [1.3M]

Answer:

\large\boxed{144^\frac{3}{2}=1728}

Step-by-step explanation:

\sqrt[n]{a^m}=a^\frac{m}{n}\\\\144^\frac{3}{2}=144^{1\frac{1}{2}}=144^{1+\frac{1}{2}}\qquad\text{use}\ a^na^m=a^{n+m}\\\\=144^1\cdot144^{\frac{1}{2}}=144\sqrt{144}=144\cdot12=1728

6 0
3 years ago
The weight of a mandarin orange is about 6 ounces. A basket that weighs 4 ounces will hold m mandarin oranges, the total weight
trasher [3.6K]

Answer:

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Step-by-step explanation:

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7 0
3 years ago
What is the range? 6 7 8 7 10​
jeka94
Range= 4

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4 0
2 years ago
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Refer to Expression 1 and Expression 2.
TiliK225 [7]

Expression 1 is 25

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For expression 2, if you put the parantheses around (5+4)*2+6-2*2-1, it'll be 19

(5+4)*2+6-2*2-1

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Remember order of operations

5 0
2 years ago
PLZ ANSWER 6 AND 7. SHOW YOUR WORK TOO!!
anygoal [31]

6) subtract 16 on both sides

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c as the answer



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8 0
3 years ago
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