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marissa [1.9K]
3 years ago
6

How do i simplify this expression?

Mathematics
1 answer:
levacccp [35]3 years ago
8 0
  First, you try to make sure that both the denominators are the same. In order to do this, you multiply both fractions' numerator and denominator by the other fraction's denominator. Next, you combine like terms in the numerator, and then you simplify the fraction.
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Solve.
baherus [9]
The correct answer is:  [C]:  " 5 " .
__________________________________________________________
                                →  " a = 5 " .
__________________________________________________________
Explanation:
__________________________________________________________ 

Given:  " a + 1 <span>− 2 = 4 " ; Solve for "a" ; 

4 + 2 = 6 ; 

6 </span>− 1 = 5 ;   →  a = 5 ;

To check our work:

5 + 1 − 2 = ? 4 ?? ;  

5 + 1 = 6 ; 

6 − 2 = 4.  Yes!

So the answer is:  [C]:  " 5 ". 
_________________________________________________________
                          →   " a = 5 " . 
_________________________________________________________
4 0
3 years ago
Let f(x)=8/(1+3e)^(-0.7x)
Troyanec [42]
For x = -3, <span>(-0.7x) equals (-0.7[-3]), or 2.1.
 
                                8                   8                       8
Then f(-3) =  ------------------- = ---------------- = ------------ = 0.31 (approx)
                        1 + 3*e^2.1      1 + 24.499        25.5</span>
5 0
3 years ago
A winery has a vat with two pipes leading to it. The inlet pipe can fill the vat in 5 ​hours, while the outlet pipe can empty it
Rashid [163]

Answer:

                 time=40/3hours\approx 13.3hours

Step-by-step explanation:

The rates are additive: you can calculate the<em> inlet </em>rate and the <em>outlet</em> rate and add them algebraically, i.e. the inlet rate will be positive and the outlet rate will be negative.

<u>1. Inlet rate:</u>

1vat/5hours

<u />

<u>2. Outlet rate:</u>

1vat/8hours

<u>3. Net rate:</u>

            \text{Inlet rate - outlet rate}=1vat/5hours-1vat/8hours\\\\ \text{Net rate}=(8-5)vat/40hour=3vat/40hour=(3/40)vat/hour

<u>4. Time to fill the vat</u>

           rate=amount/time\implies time=amount/rate\\ \\ time=1vat/(3vat/40hour)

          time=40/3hours\approx 13.3hours

7 0
3 years ago
The slope of a line is 2/3<br> What is the slope of a line that is perpendicular to this line?
Mekhanik [1.2K]
The correct answer should be -3/2

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Velocity

Formula wise:
1/2 x mass x velocity^2

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