Answer:
h = 2
Step-by-step explanation:
I'm assuming your periods are multiplication signs.
(h + h) X (h X h) = 16
When adding two variables like the first set of parentheses, it would become 2h. When multiplying two like variables, you add the exponents. h is the same as writing h¹. So h¹ x h¹ gives you the answer of h².
So now your equation would look like:
2h X h² = 16
As above, when you multiply two like variables you would add the exponents. Also if any number are in front of the variable you would multiply those numbers. So you have 2h¹ x 1h² and that would be 2h³. If it had been
2h¹ x 2h², your answer would have been 4h³.
But so far you have 2h¹ x 1h² = 16
2h³ = 16
Dividing both sides by 2 you get
h³ = 8
To find h you have to take the cubed root of 8. What number multiplied by itself 3 times gives you 8? 2 x 2 x 2 = 8 2 x 2 = 4 and x 2 = 8.
h = 2
If you put this into the original equation you have:
(2 + 2) x ( 2 x 2) = 16
( 4 ) x ( 4 ) = 16
Region I = 73
Region II = 4
Region III = 91
We solve this by the definition of slope in analytical geometry. The definition of slope is the rise over run. In equation, that would be
m = Δy/Δx = (y₂-y₁)/(x₂-x₁)
The x-coordinates here are the t values, while the y-coordinates are the f(t) values. So, let's find the y values of the boundaries.
At t=2: f(t)= 0.25(2)²<span> − 0.5(2) + 3.5 = 3.5
Point 1 is (2, 3.5)
At t=6: </span>f(t)= 0.25(6)² − 0.5(6) + 3.5 = 9.5
Point 2 is (6, 9.5)
The slope would then be
m = (9.5-3.5)/(6-2)
m = 1.5
Hence, the slope is 1.5. Interpreting the data, the rate of change between t=2 and t=6 is 1.5 thousands per year.
(2×100)=200
(9×1)=9
(7×1/10)=.7
(8×1/1000)=.008
Which when added together equals 209.708
