Consider the function
, which has derivative
.
The linear approximation of
for some value
within a neighborhood of
is given by
Let
. Then
can be estimated to be
![\sqrt[3]{63.97}\approx4-\dfrac{0.03}{48}=3.999375](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B63.97%7D%5Capprox4-%5Cdfrac%7B0.03%7D%7B48%7D%3D3.999375)
Since
for
, it follows that
must be strictly increasing over that part of its domain, which means the linear approximation lies strictly above the function
. This means the estimated value is an overestimation.
Indeed, the actual value is closer to the number 3.999374902...
If triangles are congruent then, their corresponding sides and angles should have the same measurement. From the given, STU is congruent to VWX, angle S, T, U should be congruent to angles V, W, and X, respectively. From the choices, the answer should be letter D. because U and V do not appear in the same order from both names.
Answer: Choise A and Choise B.
Step-by-step explanation:
Given the following expression:
You can simplify it in order to find equivalent expressions.
Appying the Distributive Property, you get:
So:
1. If you add the like terms, you get this equivalent expression:
2. But if you factor out 3, you get the following equivalent expression:
Therefore, the expression shown in Choice A and Choise B are equivalents to the expression
m = 36
<u>Work</u>
<em>45 + 2.50m = 3.75m</em>
<em> -3.75m -3.75m</em>
<em>45 - 1.25m = 0</em>
<em>- 45 - 45</em>
<u><em>-1.25</em></u><em>m = </em><u><em>-45</em></u>
<em>-1.25 -1.25</em>
<em> </em>m = 36
Each face has a chance of 1/6
So you beed 6 rolls
