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umka21 [38]
3 years ago
11

Log 0.0001=-4 to exponential equation

Mathematics
2 answers:
Keith_Richards [23]3 years ago
6 0
The original equation log 0.0001 = -4 assumes the base of the logarithm is 10, so the exponential form is 10^ -4 = 0.0001
8_murik_8 [283]3 years ago
5 0
Since you wrote no base, assume base 10

remember
logₐx=y means a^y=x

so


log₁₀(0.0001)=-4 translates to
10^-4=0.0001
true

exponential equation is
10⁻⁴=0.0001

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4 years ago
The probability that a dancer likes ballet is .35. The probability that the dancer likes tap is .45. The probability that the da
Tom [10]

It is given the probability that a dancer like ballet is 0.35

So, P(B) = 0.35

It is given the probability that a dancer like tap is 0.45

So, P(T)= 0.45

The probability that he likes both ballet and tap is 0.30

So, P(B\cap T)=0.30

the probability that the dancer likes ballet if we know she likes tap. This is the case of conditional probability.

So, P(B/T)=\frac{P(B\cap T)}{P(T)}

P(B/T)=\frac{0.30}{0.45}

= 0.666

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Option 3 is the correct answer.

6 0
3 years ago
The equation and answer
dolphi86 [110]

Answer:

The correct answer is 47 degrees.


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Use a calculator

x is approximately 47 degrees.


8 0
3 years ago
Naomi went on a 6.5-mile hike. Im the morning, she hiked 1.75 miles, rested, and then hiked 2.4 more miles. She completed the hi
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First you have to add 2.4 + 1.75 to get the number of miles she hiked in the morning. Then you subtract the the answer of that from 6.5 miles. Then you have to find out the difference of the miles she hiked in the morning and the miles she hiked in the afternoon by subtracting the miles she hiked in the afternoon from the miles she hiked in the morning.

1.75 + 2.4
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6.5 - 4.15
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3 years ago
If 39 is 1% of a number, what is that number? How did you find your answer?
Nat2105 [25]

Answer:

If you think of it logically, this problem is saying:

x ⋅ 1 % = 39

1 % is 1/100 so it's

x ⋅ 1/100 = 39

Divide both sides by 1/100 and you get

x = 39/1/100

Remember that when there is a fraction in the denominator we flip it and multiply that on top and bottom:

x = 39 ⋅ 100 (1/100) ⋅ 100

Therefore

x = 3900

You can check this by multiplying our answer by 1 %

3900 ⋅ 0.01 = 39

3 0
4 years ago
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