Answer:
1360
Step-by-step explanation:
First, you do all the operations inside the parenthesis, and then you multiply the two. Also, remember the order of operations. Multiplication always comes before addition and subtraction.
(2.5x10-8)(9x10-10)
(25 - 8)(90 - 10)
(17)(80) = 17x80 = 1360
Answer:
Here we have the function:
S(t) = 500 - 400*t^(-1)
Then the rate of change at the value t, will be:
S'(t) = dS(t)/dt
This differentiation will be:
S'(t) = -400/t^2
Then:
a) the rate of change at t = 1 is:
S'(1) = -400/1^2 = -400
The rate of change after one year is -400
b) t = 10
S'(10) = -400/10^2 = -400/100 = -4
The rate of change after 10 years is -4, it reduced as the years passed, as expected.
Answer:
Sketch the following three graphs:
1) y = (x - 5)²
2) y = -(x - 5)²
3) y = x - 5
First two are parabolas with vertex at (5,0)
Third one is a line which intersects both the parabolas as (5,0)
Remark
The trick here is to realize that you have to find the number both have in order to find the difference. That means you take (effectively) 3/8 and 5/8 to find out how much each of them has. The 8 stands for the 136
Step One
Find the number of stamps Alex has. Remember his ratio is the smaller so he will have 3/8
Alex = 3/8 * 136
Alex = 408/8 = 51
Step 2
Find the number that Freddy has.
The total is 136
<u>Formula</u>
Freddy = Total - Alex
Freddy = 136 - 51
Freddy = 85
<u>Check</u>
Let us see if 5/8 * 136 = 85
5*136/8 = 680 / 8 = 85 So your answers are correct.
Difference
Difference = 85 - 51 = 34 which is how many more stamps Freddy has than Alex.
Answer:
Graph B
Step-by-step explanation:
the "x" and "y" represent 
so therefore, it's 
, 
, 
, 
you would start at (0,0) or the origin
and count over one and up one, or however many units the fraction/chart tells you to count up
