<h2>
Answer:</h2>
The total number of different arrangements of 7 letters that are possible if the first letter will be w or k is:
617,831,552
<h2>
Step-by-step explanation:</h2>
The number of different arrangements of 7 letters can be formed if the first letter must be w or k such that the repetition of the letters are allowed are:
2×26×26×26×26×26×26
( Since, at the first place any of the 2 letter out of w or k could come up.
and from the second to seventh place any of the 26 letters of the English alphabet may come up )
Hence, total number of arrangements = 617,831,552
Answer:
The dependent variable is number of calories burnt.
Step-by-step explanation:
The dependent variable of an experiment is the variable under study, i.e. it is the variable that is being observed for any changes, when the other variables are changed.
The independent variable is the variable that is being altered to observe the changes in the dependent variable.
A dependent variable can be affected by one or more than one independent variables.
In this case, the data provided represents the number of calories Maggie burned based on the number of miles she ran.
So, the amount of calories burnt is dependent upon the number of miles covered running.
So, the dependent variable is the number of calories burnt and the independent variable is the number of miles she run.
Thus, the dependent variable is number of calories burnt.
Answer:
4. Converse of Corresponding Angles Postulate
Step-by-step explanation:
Answer:
136 
Step-by-step explanation:
Well if you find the lateral area (the area of the rectangles on the sides) to get 112, so you just need to add that to the triangles and for those (they add up to 36) you can just use the formula for the area of a triangle, which is
.
Hope this helps :)
<span>2x - 3y - 3z = 8
We've been given the normal vector to the plane <2, -3, -3> and a point within the plane (1, -5, 3). In general if you've been given both the normal vector <a,b,c> and a point (e,f,g) within the plane, the expression for the plane will be:
ax + by + cz = d
and you can compute d by:
d = ae + bf + cg
So let's calculate d:
d = ae + bf + cg
d = 2*1 + -3*-5 + -3*3
d = 2 + 15 + -9
d = 8
And the equation for the plane is
2x - 3y - 3z = 8</span>