Answer:
that's the area of a circle
its πr²1
Answer:
a) Suppose that F is ordered in ascending order: 
. Then, the complement of F can be written as
which is the union of a finite number of open intervals, then 
is an open set. Thus, F is a closed subset of the real numbers.
b) Take an arbitrary element of F, let us say 
. Now, choose a real number 
such that
there are not other element of F, because is less that the minimum distance between and its neighbors.
In case that 
we only consider 
, and if 
we only consider 
.
Then, all points of F are isolated.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Area of a triangle = 1/2 * Base * height | Plug in values
82.5 = 1/2 * 15 * height | Multiple both sides by 2
165 inches = 15 * height | Divide both sides by 15
Height = 165/15 = 11 inches
<span>B. 16 quarts of the 2% milk and 24 quarts of the 7% milk
First, let's create an equation to solve.
x = quarts of 2% milk
(40-x) = quarts of 7% milk
So we have the equation
x*2 + (40-x)*7 = 40*5
Now to solve for x
x*2 + (40-x)*7 = 40*5
x*2 + 7*40 - 7*x = 40*5
x*2 - 7*x = 40*5 - 7*40
-5*x = - 2*40
x = 2*8
x = 16
So we need 16 quarts of 2% milk and 40-16 = 24 quarts of 7%, which matches option "B".</span>
Answer:
The student whose marks between quarter grades & topic tests score has maximum proportionate deviation
Step-by-step explanation:
Percentage change shows the proportionate change in a value, from the initial point. Formula = ( Change / Old ) x 100
Percentage change in students' quarter grades from topic tests score =
[ ( Quarter topic test score - Topic test score ) / Topic Test score ] x 100
Eg : Quarter Grade = 80, Test score = 60.
Percentage change = [ (80 - 60)/ 60 ] x 100 = ( 20 / 60 ) x 100 = 33%
So, student who has this maximum proportionate or percentage deviation between quarter grades & topic tests score - that student change would be represented by the point farthest from 0 on a number line.
