Answer:
Step-by-step explanation:
5,750
-10
-----------
5740
-10
----------
5730 gallons left
Answer:
a) See the file below, b)
, c) 
Step-by-step explanation:
a) Points moves clockwise as t increases. See the curve in the file attached below. The parametric equations describe an ellipse.
b) The arc length formula is:
![s = \int\limits^{0.5\pi}_{-0.25\pi} {[\left( 3\cdot \cos t\right)^{2}+\left(-5\cdot \sin t \right)^{2}]} \, dx](https://tex.z-dn.net/?f=s%20%3D%20%5Cint%5Climits%5E%7B0.5%5Cpi%7D_%7B-0.25%5Cpi%7D%20%7B%5B%5Cleft%28%203%5Ccdot%20%5Ccos%20t%5Cright%29%5E%7B2%7D%2B%5Cleft%28-5%5Ccdot%20%5Csin%20t%20%5Cright%29%5E%7B2%7D%5D%7D%20%5C%2C%20dx)
c) The perimeter of that arc is approximately:


F(g(x)) means you take the g function and put it into x in the f function. He took the function and put it into the g, which was the incorrect order. He should have had this:
Answer:
Step-by-step explanation:
45 = (b(4b - 2))/2
90 = 4b2 - 2b
4b2 - 2b - 90 = 0
(2b + 9)(2b - 10) = 0
2b + 9 = 0
2b = -9
b = -9/2
If we were looking for zeroes, this would be an answer, but since we're looking for measurement, we don't use negative numbers.
90 = 4b2 - 2b
4b2 - 2b - 90 = 0
(2b + 9)(2b - 10) = 0
2b + 9 = 0
2b = -9
b = -9/2
Responder:
Contenedor 24
Explicación paso a paso:
Para obtener la cantidad de contenedores que deberán llenar para completar sus respectivos paquetes al mismo tiempo; obtener el mínimo común múltiplo de la agrupación adoptada por el primer y segundo trabajador;
Múltiplos de:
8: 8, 16, 24, 32, 40, 48, 56, ...
12:12, 24, 26, 48, 60, ....
Por lo tanto, el mínimo común múltiplo de 8 y 12 es 24.
Llenarán 24 contenedores