A) Let x stand for time, y stand for velocity.
We are given the points (2,50), (6, 54). We can make a line using the slope intercept form
y = mx + b.
slope is (54 - 50)/(6-2) = 4/4 = 1
y = 1x + b
plug in point (2,50) to find b
50 = 1(2) + b
50-2 = b
48 = b
the equation is y = 1x + 48
Make standard form.
<span>x - y = -48</span>
Put into the formula:
120(1+.08)^5
Equals:
176.3193692 dollars
Answer:
a)
b) number of flowers.
c) 2830
Step-by-step explanation:
We are given the following in the question:
The number of flowers bloomed is given by the function:
where s is the s is the number of seeds she planted.
The number of seeds planted per week is given by
where w represents the number of weeks.
a) composite function that represents how many flowers Lily can expect to bloom over a certain number of weeks.
The composite function can be written as:
where f(w) gives the number of flowers that bloomed in w weeks.
b) units of measurement for the composite function
The composite functions gives the number of flower that will bloom in w weeks. Thus, the unit of measurement is number of flowers.
c) Number of flowers in 35 weeks.
We put w = 35 in the composite function.
2830 flowers will bloom in 35 weeks.
Thanks
Step-by-step explanation:
9514 1404 393
Answer:
∛(2500π)√37 m² ≈ 120.911 m²
Step-by-step explanation:
If the height is 3 times the diameter, it is 6 times the radius. Then the volume is ...
V = 1/3πr²h
V = 1/3πr²(6r) = 2πr³
For a volume of 100 m³, the radius is ...
100 m³ = 2πr³
r = ∛(50/π) m
The lateral area of the cone is computed from the slant height. For this cone, the slant height is found using the Pythagorean theorem:
s² = r² +(6r)² = 37r²
s = r√37
Then the lateral area is ...
LA = πrs
LA = π(∛(50/π) m)(∛(50/π) m)√37
LA = ∛(2500π)√37 m² ≈ 120.911 m²
The answer should be 0.70
