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olasank [31]
3 years ago
13

Simplify

" align="absmiddle" class="latex-formula"> using the properties of logarithms
Mathematics
1 answer:
jasenka [17]3 years ago
6 0

This expression is equivalent to:


[ 7^(log to the base 7 of 3)]^(-2), or    [3]^(-2)], or 1/9.

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PLEASE HELP ASAP 30 PTS
natali 33 [55]

The decay factor would be 1 minus the percent of decrease:

1-0.12 = 0.88

6 0
3 years ago
Read 2 more answers
if the product of 4 and a number is decreased by 12, the result is twice the opposite of the number. Find the number. EXPLAIN PL
ELEN [110]
Answer:  The number is:  "2 " .
__________________________________________
Explanation:
__________________________________________
Write the expression; which is an equation, as follows:
__________________________________________
     " 4x <span>− 12 = 2(-x) " ;  in which "x" represents "the number for which we shall                                       solve" .
___________________________________________
Note:  

If the "number" = "x" ;  the "opposite of the number"  =  " -x " ;
</span>___________________________________________
Rewrite as:  " 4x <span>− 12 = -2x " ;
</span>_____________________________________________
     →  Add "12" ; & add "2x" ; to EACH SIDE of the equation:

                      4x − 12 + 12 + 2x = -2x + 12 + 2x ;

           to get:    6x  = 12  ;
____________________________________________________
 Now, divide each side of the equation by "6" ; 
     to isolate "x" on one side of the equation; & to solve for "x" ;
____________________________________________________
                         6x / 6  =  12 / 6 ;

                    to get:    x = 2 .
____________________________________________________
Answer:  The number is:  "2 " .
____________________________________________________
Let us check our answer, by plugging in "2" for "x" in our original equation:
_____________________________________________________
        →   " 4x − 12 = 2(-x) " ;

  Let us plug in "2" for "x" ; to see if the equation holds true; that is; if both side of the equation are equal; when "x = 2" ;

        →   " 4(2) − 12 = ?  2(-2) ?? 

        →    8 − 12 = ?  -4 ? ;
 
        →    -4 = ? -4 ??  Yes!
 __________________________________________________    
6 0
3 years ago
Simplify<br> Rewrite the expression in the form 6^n
prisoha [69]

Answer:

6^{3}

Step-by-step explanation:

6^4/6^1

6^(4-1)

=6^3

6 0
3 years ago
Read 2 more answers
Brainliest to correct
nataly862011 [7]

Answer:

its equals the same, the third one. this is very easy.

4 0
3 years ago
1. Erin hits a golf ball off a tee. The height, yin yards, of the ball off the ground is given by
Sladkaya [172]

Answer:

The maximum height of the ball is 28.2 yards.

Step-by-step explanation:

When we have a quadratic equation in the following format:

y = ax^{2} + bx + c

The maximum value happens when

x = x_{v} = \frac{-b}{2a}

The maximum value will be y(x_{v})

In this problem, we have that:

y = -0.0018x^{2} + 0.45x + 0.05

So

a = -0.0018, b = 0.45, c = 0.05

x = x_{v} = \frac{-b}{2a} = \frac{-0.45}{2*(-0.0018)} = 125

The maximum height is:

y(125) = -0.0018*(125)^{2} + 0.45*125 + 0.05 = 28.2

The maximum height of the ball is 28.2 yards.

4 0
3 years ago
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