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jeka94
2 years ago
9

t=" log_{2}(x) = - 4" align="absmiddle" class="latex-formula">
WILL GIVE BRANIEST FOR LEGIT ANSWERS WITH WORK​
Mathematics
1 answer:
JulsSmile [24]2 years ago
3 0

Answer: x = 1/16

Step-by-step explanation:

Since the inverse of a Logarithm is an exponential function, we know that the final solution has to involve an exponential function somewhere in it.

1. log B(2) {x} = -4  || given

2. x = 2 ^ -4  || Logarithm rule that allows you to move the base of the logarithm to the base of the exponent on the other side. For example, if you had log B(5) {x} = 3, the base of 5 would move over to the other side and it would be raised to 3; x = 5^3.

3. x = (1) / (2^4) || Simplify. Use the negative exponent rule. This rule always leaves a numerator of 1, and a denominator of your exponent. In this case, it will be 2 ^ -4, so you will do 2^4 which is 16 and you will put that over 1. Resulting in your final answer of x = 1/16

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Rafael has a bag of marbles, there are 5 green marbles, 6 red marbles, and 4
yulyashka [42]

The probability of getting red marble from the consider withdrawal of a marble is 0.107 approximately.

<h3>How to calculate the probability of an event?</h3>

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given as

P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}

where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.

Given that:

The bag contains:

  • 5 green marbles,
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Since he draws one marbel, thus, only one colored marble would come out.

Let we suppose we've to find P(red marble coming out).

Then, if we take:

E = event of Rafael drawing a red marble,

then E can be done in 6 ways as there are 6 red marbles to choose from.

Also, withdrawal of 1 marble (of any color) can be done in (5+6+45 = 56) 56 ways.

Thus, we get:

P(E) = P(\text{Choosing a red marble}) = \dfrac{6}{56} = \dfrac{3}{28} \approx 0.107

Thus, the probability of getting red marble from the consider withdrawal of a marble is 0.107 approximately.

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brainly.com/question/1210781

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3 0
2 years ago
what is the distance between the points (4, 5) and (10, 13) on a coordinte plane a. 12 units b. 8 units c. 10 units d. 14 units
qaws [65]

Answer:

<h2>10 units</h2>

Option C is the correct option

Step-by-step explanation:

Let the points be A and B

A ( 4 , 5 ) ------> ( x1 , y1 )

B ( 10 , 13 ) ------> ( x2 , y2 )

Now, let's find the distance between these points:

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plug the values

= \:  \sqrt{(10 - 4) ^{2} +  {(13 - 5)}^{2}  }

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=  \sqrt{ {(6)}^{2} +  {(8)}^{2}  }

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=  \sqrt{36 + 64}

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=  \sqrt{100}

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=  \sqrt{ {(10)}^{2} }

Reduce the index of the radical and exponent with 2

= 10 \: units

Hope this helps..

Best regards!!

7 0
2 years ago
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Answer:

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8 0
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