<span>m*m+m*7+3*m+3*7
Answer= </span>m^2+10m+21
Answer:
21
Step-by-step explanation:
0 + 1 = 1
1 + 2 = 3
3 + 3 = 6
6 + 4 = 10
10 + 5 = 15
15 + 6 = 21
Each number is added to an increase of 1 - first add 1, then add 2, then add 3,etc
Not listed but next would be 21 + 7 = 28
so it would be 0, 1, 3, 6, 10, 15, 21, 28
Answer:
Therefore Mason would be expected to win 50 times.
Step-by-step explanation:
i) probability of flipping a head for a fair coin is
ii) probability of flipping two fair coins is =
iii) Therefore if Mason plays 200 times he would be expected to win
=
YZ is the diameter, so arc YZ = 360°/2 = 180°
arc XZ = 360° - arc YZ - arc YWX = 360° - 180° - 100° = 80°
∠XYZ is an inscribed angle <span>so it is equal to half the arc XZ
</span>∠XYZ = 80°/2 = 40°
The <em>directional</em> derivative of at the given point in the direction indicated is .
<h3>How to calculate the directional derivative of a multivariate function</h3>
The <em>directional</em> derivative is represented by the following formula:
(1)
Where:
- - Gradient evaluated at the point .
- - Directional vector.
The gradient of is calculated below:
(2)
Where and are the <em>partial</em> derivatives with respect to and , respectively.
If we know that , then the gradient is:
If we know that , then the directional derivative is:
The <em>directional</em> derivative of at the given point in the direction indicated is .
To learn more on directional derivative, we kindly invite to check this verified question: brainly.com/question/9964491