Answer:
20
Step-by-step explanation:
n(A) only =15-4=11
n(B) only=9-4=5
n(A n B)=4
n(A U B)=11+5+4=20
Answer:
k = - 6.6667
Step-by-step explanation:
this is quite very simple to begin. I would encourage you take other practice questions similar to help with understanding it.
let us begin.
Given that ;
dT/dt = k ( Tm - T) where Tm is the temp of the medium
dT/dt = 5 degrees Celsius per minute when T = 70
so we have that, 5 = k ( 25 - 70)
remember to convert 5 degree celsius per minute to seconds
we have that;
5*60(sec) = k ( 25 - 70)
k = 5*60 / ( 25 - 70)
k = - 6.6667
note K is negative because we consider it for cooling process (temp decreasing).
cheers i hope this helps!!!
Answer:
d = 4
Step-by-step explanation:
24 - 5d = d
24 = 6d
24 / 6 = 4
d = 4
Hope this helps :)
The sequences that would map the triangles so as to support both claims are explained below:
<em>Transformation</em> is a process in which the dimensions, size or orientation of a given shape is <em>adjusted</em>. The types are: translation, reflection, rotation and dilation.
Thus;
A. The sequence of transformations that will <u>support</u> Tim's thinking are:
i. <em>Reflection</em> of triangle A <em>about</em> the y-axis.
ii. <em>Reflection</em> of the triangle the <em>second</em> time now about x-axis.
iii. <em>Translation</em> of the triangle two units to the right (i.e towards the x-axis)
These steps would map triangle A unto triangle B supporting Tim's claim.
B. The sequence of transformations that will <u>support</u> Jennifer's claim are:
i. First <em>rotate</em> triangle A by using the origin of the axis as the reference point.
ii. Then <em>translate</em> triangle A two units to the right (i.e towards the x-axis).
Therefore, these steps will map triangle A unto B to support Jennifer's claim.
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Answer:
associative property
Step-by-step explanation:
Grouping like this
a + (b + c) = (a + b) + c
or
a(bc) = (ab)c
is the associative property