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Leni [432]
3 years ago
8

Write expression as the logarithm of a single number log6 + log8 - log2

Mathematics
1 answer:
Dafna1 [17]3 years ago
3 0
<h2>log (6 ) + log ( 8 ) − log ( 2 ) </h2><h2 /><h2>  Answer:</h2>

Exact Form:    ㏒ ( 24 )

Decimal Form:    1.38021124


<h2>Explanation:</h2><h3>                            Use the product property of logarithms,  </h3>

                                ㏒b ( x)  +  ㏒b ( y )  =  ㏒b ( x y ).

                                 ㏒ ( 6 ⋅ 8 ) −  ㏒ ( 2 ) .


<h3>                         ⇒Use the quotient property of logarithms,</h3>

                                 ㏒ b ( x ) − ㏒ b ( y ) = ㏒ b ( x y ) .

                                 ㏒ ( 6 ⋅ 8/ 2 )

<h3>                          ⇒Reduce the expression by cancelling the common factors. </h3>

                                Factor  2  out of  6 ⋅8 .

                                log ( 2 ( 3 ⋅ 8 )  / 2 )

<h3>                             Divide  3 ⋅ 8   by  1 .</h3>

                                ㏒ ( 3 ⋅ 8 )

                                Multiply  3  by  8 .

                                 ㏒ ( 24 )

<h3>The result can be shown in both exact and decimal forms. </h3><h3>                            Exact Form:  ㏒ ( 24 ) </h3><h3>                            Decimal Form:  1.38021124</h3>
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Which is a rule that describes the translation of a point from 4, -8 to 7, -10
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Answer:

\large\boxed{(x,\ y)\to (x+3,\ y-2)}

Step-by-step explanation:

(4,\ -8)\to(7,\ -10)\\\\4\to7\Rightarrow4+3=7\\\\-8\to-10\Rightarrow-8-2=-10\\\\\text{Conclusion}\\\\(x,\ y)\to (x+3,\ y-2)

4 0
3 years ago
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A computer company produces an extremely light laptop and they claim it is the lightest on the market weighing only 32 ounces. t
Darina [25.2K]

Solution: We are given:

\mu=0.33,  \sigma =0.7

Let x be the weight (oz) of laptop

We have to find P(x>32)

To find the this probability, we need to find the z score value.

The z score is given below:

z=\frac{x-\mu}{\sigma}

       =\frac{32-33}{0.7}

       =-1.43

Now, we have to find P(z>-1.43)

Using the standard normal table, we have:

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3 years ago
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7. Is it proportional?
SCORPION-xisa [38]

Answer:

A unit rate is the rate of change in a relationship where the rate is per 1.

The rate of change is the ratio between the x and y (or input and output) values in a relationship.  Another term for the rate of change for proportional relationships is the constant of proportionality.

If the rate of change is yx, then so is the constant of proportionality.  To simplify things, we set  yx=k, where k represents the constant of proportionality.  

If you solve a yx=k equation for y, (like this: y=kx), it is called a direct variation equation. In a direct variation equation, y varies directly with x. When x increases or decreases, y also increases or decreases by the same proportion.

To find y in a direct variation equation, multiply x by the constant of proportionality, k.

For example: Given the relationship y=7x, the constant of proportionality k=7,  so if x=3,  then y=3×7 or 21.

Given the same relationship, if x=7,  then y=7×7, or 49.  

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
6⋅[(32−8)÷4+2] What is the answer to this expession?
Nimfa-mama [501]

Answer:

48

Step-by-step explanation:

=6*[24/4+2]

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=48

4 0
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