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miskamm [114]
3 years ago
8

Write the equation in logarithmic form. (1/3)^3=1/27

Mathematics
2 answers:
Andru [333]3 years ago
8 0

Answer:

\log_{\frac{1}{3}} (\frac{1}{27})=3

Step-by-step explanation:

The given equation is

(\frac{1}{3})^3=\frac{1}{27}

We need to write the equation in logarithmic form.

Taking log on both sides.

\log (\frac{1}{3})^3=\log (\frac{1}{27})

Using the property of logarithm we get

3\log (\frac{1}{3})=\log (\frac{1}{27})           [\because \log a^b=b\log a]

Divide both sides by \log (\frac{1}{3}).

3=\dfrac{\log (\frac{1}{27})}{\log (\frac{1}{3})}

Using the property of logarithm we get

3=\log_{\frac{1}{3}} (\frac{1}{27})          [\because \log_x y =\dfrac{\log_ay}{\log_ax}]

Therefore, the logarithmic form of given equation is \log_{\frac{1}{3}} (\frac{1}{27})=3.

juin [17]3 years ago
6 0

Answer: Log1/3(1/27)=3

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solong [7]

Given:

P(A)=0.4, P(B)=0.7, P(A\text{ and }B)=0.3

To find:

The value of P(A\text{ or }B).

Solution:

We know that,

P(A\text{ and }B)=P(A\cap B)

P(A\text{ or }B)=P(A\cup B)

It means, we have P(A)=0.4, P(B)=0.7, P(A\cap B)=0.3 and we need to find the value of  P(A\cup B).

P(A\cup B)=P(A)+P(B)-P(A\cap B)

P(A\cup B)=0.4+0.7-0.3

P(A\cup B)=1.1-0.3

P(A\cup B)=0.8

Therefore, the value of P(A\text{ or }B) is 0.8.

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3 years ago
Amanda increased the amount of protein she eats every day from 48 g to 54 g. what percentage did Amanda increase the amount of p
Romashka-Z-Leto [24]

Step-by-step explanation:

I just answered this. how often did you post that question ?

she added 54-48 = 6g.

how many % of 48g are these 6g ?

100% = 48

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as many as how often 1% (0.48g) fits into 6g :

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8 0
2 years ago
Mr. Thompson is a cook at a restaurant that serves breakfast. On Tuesday, he used 5 pounds of 9 16 1 pancake mix. On Wednesday,
aksik [14]

Answer:

Since 5 9/16 is closest to 6, and 4 1/8 is closest to the benchmark 4. The total of the benchmark is 10. So, Parker's estimate is (I'm assuming the dropdown had "wrong" as an option)

Step-by-step explanation:

Parker assumed that Mr.Thompson used about nine pounds of pancake mix. Parker was fairly close but just one off. If you were to solve this without having to use a whole number for an estimate. The answer would be 9 11/16, instead of 10. Anyways, I should explain why 5 9/16 is round to 6. It's rounded to six as a whole number because 9/16 is over half of 16. Half of 16 is "8".So anything that is 8/16 and up is automatically round to the number ahead (that's whole).

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1 year ago
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joja [24]
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3 years ago
A group of 72 children completed a survey on what kind of sport they like. The choices were: Chess, Swimming, and Football. Ever
hichkok12 [17]

Answer:

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Step-by-step explanation:

From the given information:

Total number of students, n(U)=72

The choices were: Chess(C), Swimming(S), and Football(F).

Everyone liked at least one sport except 7 kids, n( C \cup F \cup S)'=7

Chess is not an active sport; and

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The probability that a randomly-chosen child from this group does not like active kinds of sport is the Probability that a student plays chess only or like no kind of sport at all.

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8 0
3 years ago
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