Answer:
function g is positive over (-∞, ∞)
function g has a y-intercept of (0,4)
function g decreasing over the interval (-∞, 0)
Step-by-step explanation:
Answer:
(a)
(b)
(c)43 times
Step-by-step explanation:
<u>Part A</u>
The paper's thickness = 0.05mm
When the paper is folded, its width doubles (increases by 100%).
The thickness of the paper grows exponentially and can be modeled by the function:
<u>Part B</u>
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<u>Part C</u>
If the thickness of the paper, g(n)=384,472,300,000 mm
Then:
You must fold the paper 43 times to make the folded paper have a thickness that is the same as the distance from the earth to the moon.
Answer:
(42, 0)
Step-by-step explanation:
Since we know the slope and y-intercept we can write the equation of the line in slope-intercept form which is y = mx + b; therefore, the equation is y = -3/7x + 18. To find the x-intercept, we just plug in y = 0 which becomes:
0 = -3/7x + 18
-18 = -3/7x
x = 42
Answer:
π/90 or 0.0035 units
Step-by-step explanation:
equation: <em>length of the arc = ∠of the angle/360 * circumference</em>
Substitute: <em>S = 0.4/360 * 10π</em> --> C = 2πr
Simplify: S = 1/900 * 10π
Simplify: S = π/90 ≈ 0.003489 units
6.9 as a fraction or mixed number
6.9 = 6 9/10
This is also the same as 69/10