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zlopas [31]
3 years ago
14

The approximate value of 5.5 million x 1.9 thousand is(scientific notation)

Mathematics
1 answer:
Andreas93 [3]3 years ago
5 0
The answer is:  " <span>1.045 * 10¹⁰  " .</span>
_____________________________________
Explanation:
______________________________________
 "5.5 million = 5,500,000 = 5.5 * 10 ⁶ "  ;
______________________________________
 "1.9 thousand = 1,900 = 1.9 * 10³  "   ;
______________________________________
   So;  "<span>5.5 million * 1.9 thousand" ; 
_________________________________________
  =  (</span>5.5 * 10 ⁶) * (1.9 * 10³) =  5.5 * 10⁶ * 1.9 * 10³ ;
 
     =  5.5 * 1.9 * 10⁶ * 10³ ;
 ___________________________________________
    Note the following properties of exponents:
____________________________________________
    xᵃ * xᵇ  =  x⁽ᵃ⁺ᵇ⁾ ;
____________________________________________

As such, " 10⁶ * 10³  = 10⁽ ⁶ ⁺ ³⁾  = 10⁹ " ; 
_____________________________________
So; rewrite:  
______________________________________
5.5 * 1.9 * 10⁶ * 10³  ;
_______________________________________
= 5.5 * 1.9 * 10⁹   ;
__________________________________
    5.5 * 1.9 = 10.45 ;
__________________________________
Rewrite as:  " 10.45 * 10⁹ " ;

In scientific notation, we need to rewrite as an single digit integer, followed by a decimal and other values (if applicable); following by * 10 raised to the appropriately adjusted exponential power.
_________________________________________________
As such, we write the value as:
________________________________________________
   " 1.045 * 10¹⁰  " . 
________________________________________________
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Which inequality is equivalent to x-6/x+5≥x+7/x+3?
yawa3891 [41]
To find equivalent inequalities you have to work the inequality given.

The first step is transpose on of sides to have an expression in one side and zero in the other side:

  x - 6        x + 7
--------- ≥  --------
  x + 5       x + 3

=>

  x - 6          x + 7
--------- -  --------   ≥ 0
  x + 5       x + 3

=>

 (x - 6) (x + 3) - (x + 7) (x + 5)
--------------------------------------- ≥ 0
          (x + 5) (x + 3)

=>

 x^2 - 3x - 18 - x^2 - 12x - 35
--------------------------------------- ≥ 0
         (x + 5) (x + 3)

           15x + 53
-     -------------------   ≥ 0
       (x + 5) (x + 3)

That is an equivalent inequality. Sure you can arrange it to find many other equivalent inequalities. That is why you should include the list of choices. Anyway from this point it should be pretty straigth to arrange the terms until making the equivalent as per the options.
4 0
3 years ago
Read 2 more answers
Solve for x:<br> please help me
solniwko [45]

Answer:

x = 10

Step-by-step explanation:

We know that is a right angle which is 90 degrees.

we know one angle is 30 degrees.

So take 90- 30 = 60

now we solve for 6x

6*10 = 60 and 60+30=90

x = 10

3 0
2 years ago
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7. The graph of part of linear function g is shown on the grid. Which inequality best represents the domain of the part shown?​
PSYCHO15rus [73]

Answer:

a

Step-by-step explanation:

Domain means the change in x.

so the domain will be which values of x the fn goes through.

you can see the black line goes from -9 to 2 in x values.

the -9 isn't filled in, but the 2 is. filled in means it will be with an equals instead of without.

so x is between -9 and 2, 2 is with equals -9 is without,

so the first one.

3 0
3 years ago
Which pair of ratios are equal?6/15 and 3/17 3/4 and 9/11 2/5 and 12/35 or 2/3 and 8/12
Elanso [62]
The last pair.
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7 0
3 years ago
Oliver has 3 times as many rocks in his collection as Katie. Then Oliver collected 75 more rocks and Katie collected 105 more ro
Evgesh-ka [11]

Answer:

The answer to your question is Katie had 15 rocks and Oliver 45 rocks.

Step-by-step explanation:

Conditions

Katie has x amount of rocks

Oliver has 3x amount of rocks

The final amount of rocks

                                    Oliver = 3x + 75

                                     Katie = x + 105

Now, they have the same amount of rocks, then we can equal both equations

                                   3x + 75 = x + 105

Solve for x

                                     3x - x = 105 - 75

                                           2x = 30

                                             x = 30/2

                                             x = 15

Conclusions

At first Katie had 15 rocks and Oliver had 3(15) = 45 rocks

5 0
3 years ago
Read 2 more answers
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