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Thepotemich [5.8K]
3 years ago
13

What is the expression of x to the 2 -16 equivalent to

Mathematics
2 answers:
Katarina [22]3 years ago
7 0
The simplest answer, in terms of powers of 2, is 

                                             1
                                      ---------------
                                             16
                                           2
                             4                                     16
Please note that 2     equals 16, and that 2       thus equals 16^4.

Thus, another form in which the answer can be expressed is 

          1                  1
------------- , or ----------- .    If you want to take this further, calculate
        4                      2
   16                  256



           1
--------------------
   (256)(256)
Tpy6a [65]3 years ago
3 0
If you mean (x^2 -16), then x^2-16 = (x+4)*(x-4). This follows from the formula a^2 - -b^2=(a+b)*(a-b)
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a recipe calls for a total of 3 2/3 cups of flour and sugar. it the recipe calls for 1/4 cup of sugar, how much flour is needed?
zavuch27 [327]

Answer:

This is very detailed as I wish to make some principles about fractions clear.

3

5

12

Explanation:

This question boils down to  

3

2

3

−

1

4

A fractions structure is that of:

count

size indicator of what you are counting

→

numerator

denominator

You can not directly add or subtract the counts (numerators) unless the size indicators (denominators) are the same.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Consider  

3

2

3

Write as  

3

+

2

3

Multiply by 1 and you do not change the value. However, 1 comes in many forms so you can change the way something looks without changing its true value

[

3

×

1

]

+

2

3

[

3

×

3

3

]

+

2

3

 

9

3

   

+

2

3

 

=

 

11

3

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Putting it all together

3

2

3

−

1

4

 

→

 

11

3

−

1

4

But the size indicators are not the same. I chose to make them become 12

11

3

−

1

4

 

→

 

[

11

3

×

1

]

−

[

1

4

×

1

]

               

→

 

[

11

3

×

4

4

]

−

[

1

4

×

3

3

]

               

→

     

44

12

     

−

 

3

12

Now we may subtract the counts

               

→

 

44

−

3

12

 

=

 

41

12

But this is the same as  

12

12

+

12

12

+

12

12

+

5

12

                         

=

 

1

2

+

2

1

2

+

2

1

2

+

5

12

 

=

 

3

5

12


Step-by-step explanation:


5 0
3 years ago
Read 2 more answers
suppose there is a 1.9 Fahrenheit drop in the temperature for every thousand feet that an airplane climbs into the sky if the te
matrenka [14]

Answer:

47.6° F

Step-by-step explanation:

8 0
3 years ago
What does a straight line on a distance time graph mean
klasskru [66]
It means the speed (velocity) was constant - the object traveled the same distance per time period throughout the graph.
7 0
3 years ago
On the first day in each month, Enid deposited $4 into her bank account and Jim deposited $3 into his. They opened these account
ohaa [14]

Answer:

The amount of money in Enid bank account can be written as a linear equation.

Ye = Xe + $4*m

where Ye is the money that Enid has in her account, m is the number of months that have passed since she opened it, and Xe is the initial deposit.

For Jim, the equation is similar:

Yj = Xj + $3*m

where Yj and Xj are similar as above.

Between May 15 and December 31 of the same year, we have 7 months (where i am counting December because the deposit is made in the first day of the month).

Then we have that:

Ye = $72 = Xe + $4*7 = Xe + $28

Xe = $72 - $28 = $44

So in May 15, Enid deposited $44.

For Jim we have:

Yj = $72 = Xj + $3*7 = Xj + $21

Xj = $72 - $21 = $51

So in May 15, Jim deposited $51.

5 0
2 years ago
Does anyone know what the slope equation is for this graph. PLz explain if you can. Ty!
yKpoI14uk [10]
<h3>Answer:   y = (-3/2)x+3</h3>

In decimal form, this is y = -1.5x+3

=========================================

Explanation:

Start at (0,3). Move three units down and two units to the right to get to (2,0)

slope = rise/run

slope = -3/2

rise = -3 = go 3 units down

run = 2 = go 2 units to the right

--------------------------

We could use the two points (0,3) and (2,0) in the slope formula below

m = (y2-y1)/(x2-x1)

m = (0-3)/(2-0)

m = -3/2

So this is another way to see the slope is -3/2

--------------------------

The y intercept is where the graph crosses the vertical y axis. In this case, it's at 3. So b = 3

Using m = -3/2 and b = 3, we go from y = mx+b to y = (-3/2)x+3 which is equivalent to y = -1.5x+3

5 0
3 years ago
Read 2 more answers
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