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UkoKoshka [18]
3 years ago
12

What is the true solution to In 20+ In 5= 2 In x? x=5. A X= 10 b X=50 c X= 100 d

Mathematics
1 answer:
lions [1.4K]3 years ago
4 0

ln(20) + ln(5) = 2 ln(<em>x</em>)

ln(20×5) = ln(<em>x</em> ²)

ln(100) = ln(<em>x</em> ²)

100 = <em>x</em> ²

<em>x</em> = 10

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Amir can run 0.25 kilometers per minute.
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If x = 3 and y = -1, then 3x2 + 2xy - 5 = ? <br> A: 18 <br> B: 24 <br> C: 12 <br> D: 16
iris [78.8K]
x = 3 , \ y = -1 \\ \\ 3x^2 + 2xy - 5 = 3\cdot 3^2 + 2\cdot 3\cdot (-1)-5=\\ \\=3\cdot 9 -6-5=27-11=16 \\ \\ Answer : \ D: \ \ 16


8 0
3 years ago
Read 2 more answers
In the geometric progression 1, 2, 4… what term is 512?
Levart [38]

The next term is double the previous term, so that the n-th term is given recursively by

\begin{cases}a_1=1\\a_n=2a_{n-1}&\text{for }n>1\end{cases}

This rule tells us that

a_2=2a_1

a_3=2a_2=2^2a_1

a_4=2a_3=2^3a_1

and so on, with the explicit rule

a_n=2^{n-1}a_1=2^{n-1}

for n\ge1.

If 512 is the k-th term in the sequence, then

512=2^{k-1}\implies\log_2512=\log_22^9=\log_22^{k-1}\implies9=k-1\implies k=10

8 0
3 years ago
spends 2 hours and 20 minutes trading stickers and 125 minutes doing homework. What activity does he spend more time on? How muc
dimulka [17.4K]
Answer: He spends more time trading stickers by 15 minutes.
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7 0
3 years ago
Duane is making cookies. The recipe calls for two times as many cups of sugar as butter, two times as many cups of oats as sugar
Ronch [10]

Answer:

Step-by-step explanation:

Let b represent the number of cups of butter needed.

Let s represent the number of cups of sugar needed.

Let o represent the number of cups of oat needed.

Let f represent the number of cups of flour needed.

The recipe calls for two times as many cups of sugar as butter. It means that

s = 2b

Two times as many cups of oats as sugar. It means that

o = 2s

Two times as many cups of flour as oats. It means that

f = 2o

If Duane puts in one cup of butter, it means that b = 1

Therefore,

s = 2 × 1 = 2 cups

o = 2s = 2 × 2 = 4 cups

f = 2o = 2 × 4 = 8 cups

Therefore, he needs to add 8 cups of flour

7 0
3 years ago
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