In a bag of snack mix:
n = nuts d = dried fruit
n = 744g d = ???g
Ratio Nuts/Dried fruit = 12/13
This basically means that if the mix was divided in 25 parts, 12 parts would be nuts and 13 would be dried fruits
If 744 is 12 parts then 744/12 is 1 part
744/12 = 62
1 part = 62g
there are 13 parts of dried fruit
13 x 62 = 806
744g of nuts + 806g of dreid fruit = 1550g
Answer: A batch of snack mix weigh 1550g, or 1.55kg
hope it helps :)
48
There are two sets of equal triangles together they each equal a square so one sets area is 36 and the others area is 12
Answer:
<em>t</em><em>h</em><em>e</em><em> </em><em>a</em><em>n</em><em>s</em><em>w</em><em>e</em><em>r</em><em> </em><em>i</em><em>s</em><em> </em><em>h</em><em>a</em><em>v</em><em>e</em><em> </em><em>t</em><em>o</em><em> </em><em>b</em><em>e</em><em> </em><em>e</em><em>q</em><em>u</em><em>a</em><em>l</em><em>.</em>
Step-by-step explanation:
you can always equal two similar triangles so that they become congruent.
In the ratio of the length of their sides is equal to one, they are congruent. So, all congruent triangles have to be similar but all similar triangles need not be congruent......the ratio of corresponding sides,AB/A'B'=BC/B'C'=CA/C'A'. If the two triangles are congruent AB/A'B'=BC/B'C'=CA/C'A'=1
I am glad to help you!!!!

Carry out the binomial expansion in the numerator:

Then the 9⁴ terms cancel each other, so in the limit we have

Since <em>h</em> is approaching 0, that means <em>h</em> ≠ 0, so we can cancel the common factor of <em>h</em> in both numerator and denominator:

Then when <em>h</em> converges to 0, each remaining term containing <em>h</em> goes to 0, leaving you with

or choice C.
Alternatively, you can recognize the given limit as the derivative of <em>f(x)</em> at <em>x</em> = 9:

We have <em>f(x)</em> = <em>x</em> ⁴, so <em>f '(x)</em> = 4<em>x</em> ³, and evaluating this at <em>x</em> = 9 gives the same result, 2916.
Answer:
32
x
5
−
400
x
4
+
2000
x
3
−
5000
x
2
+
6250
x
−
3125
Step-by-step explanation: