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denis-greek [22]
3 years ago
15

Rmenia

Mathematics
1 answer:
Maurinko [17]3 years ago
5 0

Answer:

15 units

Step-by-step explanation:

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Hello, could anyone please help me with my homework?
IRINA_888 [86]

Answer: See below

Step-by-step explanation:

100\left(\frac{1}{2}\right)^{\frac{t}{214}}=20

\mathrm{Divide\:both\:sides\:by\:}100

\frac{100\left(\frac{1}{2}\right)^{\frac{t}{214}}}{100}=\frac{20}{100}

Simplify

\left(\frac{1}{2}\right)^{\frac{t}{214}}=\frac{1}{5}

\mathrm{If\:}f\left(x\right)=g\left(x\right)\mathrm{,\:then\:}\ln \left(f\left(x\right)\right)=\ln \left(g\left(x\right)\right)

\ln \left(\left(\frac{1}{2}\right)^{\frac{t}{214}}\right)=\ln \left(\frac{1}{5}\right)

\mathrm{Apply\:log\:rule\:}\log _a\left(x^b\right)=b\cdot \log _a\left(x\right)

\ln \left(\left(\frac{1}{2}\right)^{\frac{t}{214}}\right)=\frac{t}{214}\ln \left(\frac{1}{2}\right)

\frac{t}{214}\ln \left(\frac{1}{2}\right)=\ln \left(\frac{1}{5}\right)

\frac{\ln \left(\frac{1}{2}\right)t}{214}=\ln \left(\frac{1}{5}\right)

\mathrm{Multiply\:both\:sides\:by\:}214

\frac{214\ln \left(\frac{1}{2}\right)t}{214}=214\ln \left(\frac{1}{5}\right)

-\ln \left(2\right)t=-214\ln \left(5\right)

\mathrm{Divide\:both\:sides\:by\:}-\ln \left(2\right)

\frac{-\ln \left(2\right)t}{-\ln \left(2\right)}=\frac{-214\ln \left(5\right)}{-\ln \left(2\right)}

t=\frac{214\ln \left(5\right)}{\ln \left(2\right)} or \mathrm{Decimal}:\quad t=496.89261\dots

8 0
3 years ago
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How do u write an expression for "twenty times a number less than two."
krok68 [10]
C , have a good rest of your day!
8 0
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1. What are you going to make? (6 points) (Note: The maximum
Tanzania [10]

Answer: You have already given the answer in the question! You can make a <u>small shoe box</u>.

7 0
2 years ago
140 is 9% of what???
Len [333]

Answer:

The correct answer is B) 1555.6

Step-by-step explanation:

In order to find this, we must divide the part by the percentage. This will give us the total out of 100%

140/.09 = 1555.6

7 0
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