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grigory [225]
3 years ago
13

How do you identify the constant of proportionality when given an equation?

Mathematics
1 answer:
STatiana [176]3 years ago
8 0
The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other. Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k. (i looked up this explanation but not sure if it’s right.. if it’s wrong let me know:) )
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Honey and Money are twin brothers. Mother wants to equally divide a rectangular shaped cake of 5cm wide and 6cm long. Find the l
tatuchka [14]

Answer:

Length of rectangular cake = 5 cm

Breadth of rectangular cake = 6 cm

Area of rectangle = 5 cm × 6 cm =30 cm²

If cake is equally distributed between Honey and Money, then areas of two parts should be equal.

So, Amount of cake that Honey and money got \frac{30}{2}=15

Share of each (Honey and Money)=15 cm²

So, if the third cake if it was cut diagonally ,the cake must have some height.

Let the height of cake be H.

So, Height of third cake =\sqrt{L^2+B^2+H^2}\\\\=\sqrt{5^2+6^2+H^2}\\\\=\sqrt{61+H^2}

If , H=0 that is height is negligible having 0 thickness,

Then the Length of third cake, which is divided into two parts=√61=7.81 cm

5 0
3 years ago
The rule that maps each domain value to its range value is f(x)= ___x.
kirill115 [55]

Answer:

f(x) = 1/2x

Step-by-step explanation:

When x = -4  the output is -2

We are dividing by 2

When x = -2 the output is -1

f(x) = 1/2 x

Check when x = 2

f(2) = 1/2 (2) =1

3 0
4 years ago
A 98% confidence interval is found to be (50, 60). What is the margin of error?
miss Akunina [59]

Answer:

D. 5

Step-by-step explanation:

Mean: (50+60)/2

110/2

55

Margin of error:

60 - 55

5

3 0
3 years ago
A. x-int:-0.5,y-int:1<br>B. x-int:0.5,y-int:1<br>C. x-int:-0.5,y-int:-1<br>D. x-int:1,y-int:0.5
hodyreva [135]
The correct answer is:  [D]:  " <span>x-int : 1 ,  y-int:  0.5  " .
_____________________________________________________
Note:
_____________________________________________________
The "x-intercept" refers to the point(s) at which the the graph of a function (which is a "line", in this case) cross(es) the "y-axis".  

In other words, what is (are) the point(s) of the graph at which "x = 0<span>" ?
</span>
By examining the graph, we see that when " x = 0" ; y is equal to:  "1<span>" .
</span>
So; the "x-intercept" is at point:  "(0, 1)" ; or, we can simply say that the 
   "x-intercept" is:  "1" .
_________________________________________________________</span>  Note:
_____________________________________________________
The "y-intercept" refers to the point(s) at which the the graph of a function (which is a line, in this case) cross(es) the "x-axis".  

In other words, what is (are) the point(s) of the graph at which " y = 0 <span>" ?
</span>
By examining the graph, we see that when " y = 0 " ; x  is equal to:  "0.5<span>" .
</span>
So; the "x-intercept" is at point:  "(0.5, 0)" ; or, we can simply say that the 
   "y-intercept" is:  "0.5 " .<span>
______</span>_________________________________________________
This would correspond to:<span>
_______________________________________________________
           Answer choice:  [D]:  </span>" x-int: 1 , y-int: 0.5  " .
_______________________________________________________
     {that is;  The "x-intercept" is: "0" ; and the "y-intercept" is:  "0.5 ".} .
_______________________________________________________
5 0
3 years ago
True or False? A circumscribed about the quadrilateral below .
Elis [28]

Answer:

TRUE

Step-by-step explanation:

The center is visible

4 0
4 years ago
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