Respuesta:
Ariah necesita 2748 kilogramos de aire para llenar el globo.
Explicación paso a paso:
A(w) = -w² + 100w
Step-by-step explanation: Initially, we need to express the length (l) of the rectangular area in terms of the width (w). Given that the total perimeter of the rectangle is 200 feet implies that 2(w + l) = 200, leading to l = 100 - w. Hence, the area A can be given as width multiplied by length: A = w * l = w * (100 - w) = -w² + 100w. Consequently, A(w) = -w² + 100w.
Answer:
15/28
Step-by-step explanation:
There are 28 participants total, with 15 being male, resulting in a fraction of 15/28
It begins at 1.2 feet. In mathematics, dilation implies resizing, thus I will provide both possible results. Confirm with your teacher the expectation of the question. For enlargement, 1.2 * 2.5 equals 3, and for reduction, 1.2 divided by 2.5 equals 0.48.
Answer:
P(t) = 1000e^(0.01155)t
Step-by-step explanation:
The population of the barangay can be modeled using the exponential function;
P(t) = P0e^kt
P(t) reflects the population after t years
P0 denotes the initial population
t indicates the time
With an initial population of 1000, we set P0 = 1000
Given that the population doubles every 60 years, at t = 60, it holds that P(t) = 2P0
Inserting that into the equation yields
2P0 = P0e^k(60)
2 = e^60k
Taking the natural logarithm of both sides
ln2 = lne^60k
ln2 = 60k
k = ln2/60
k = 0.01155
Inserting the determined k value and P0 into the function gives
P(t) = 1000e^(0.01155)t
Thus, the exponential model for the population of the barangay is
P(t) = 1000e^(0.01155)t
