A)
The relationship between the amount of hours
spent studying and the test scores increase with time in a positive direction showing a positive correlation.
B) Y=8x+40
Y=8(3) +40
Y=24+40
Y= 64
C)
The 40 stands for the initial score the student
can get without any studying
The idea of grouping is to get the terms in groups that allow you to factor out from each group something that becomes a factor in itself, leaving two factors behind that are alike. Like this: rearrange those terms so they are in this order:
(-70y^2 - 63xy) + (90x^3 + 100yx^2). Now out of the first set we are going to factor out a -7y, and out of the second set we are going to factor out a 10x^2. When we do this, this is what we get: -7y(10y + 9x) + 10x^2(9x + 10y). As you can see, what's inside both sets of parenthesis is the same, just in a different order. We can factor that out now, leaving (9x + 10y)(10x^2 - 7y). And that is factored by grouping.
Answer:
Part 1) 
Part 2) 
Step-by-step explanation:
Part 1) what is the measure of angle AFE
we know that
The measure of the interior angle is the semisum of the arches that comprise it and its opposite.
<u>Note:</u> In this problem the correct measure of arc EA is 40 degrees (see the picture)
so
substitute the given values
Part 2) what is the measure of angle EFB?
we know that
---> by supplementary angles (form a linear pair)
so
substitute the given value
Answer:
100.00
Step-by-step explanation:
x=number of months until the costs are the same
50 + 20x = 25 + 30x
25 = 10x
x = 2.5 months
50 + 2.5(20) =$100.00
Answer:
a) 
b) 
c) 
d) 
e) 
Step-by-step explanation:
a) 8 = 2 x 2 x 2
b) 32 = 2 x 2 x 2 x 2 x 2
c) 256 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
d) 5 x 2^3 / 64 = 5 x 8 / 64
= 40/64
= 5/8
=
e) 16 - (-2)^3 = 16 - (-8)
= 16 + 8
=
