For this case we have the following equations:
5y = 3-2x
5y-3 = -2x
2x + 5y = 3
2x + 5y-3 = 0
The standard form of the equations is given by:
Ax + By = C
Therefore, the equation written in its standard form is:
2x + 5y = 3
Where,
A = 2
B = 5
C = 3
Answer:
The equation that is the standard form is:
2x + 5y = 3
Answer:
The length of the missing side x = 47.57 in
Step-by-step explanation:
Given
Ф = 28°
The length of the side adjacent to the angle Ф is = 42 in
To determine
The hypotenuse x = ?
Using the trigonometric ratio
cos Ф = adjacent / hypotenuse
substitute adjacent = 42 in, hypotenuse = x and Ф = 28°
cos 28° = 42 / x
x = 42 / cos 28°
x = 47.57 in
Therefore, the length of the missing side x = 47.57 in
Answer:
0.45 cm
Step-by-step explanation:
Actual length of the micro chip

Answer:
x= -136
Step-by-step explanation:
Answer: The amount of salt in the tank after 8 minutes is 36.52 pounds.
Step-by-step explanation:
Salt in the tank is modelled by the Principle of Mass Conservation, which states:
(Salt mass rate per unit time to the tank) - (Salt mass per unit time from the tank) = (Salt accumulation rate of the tank)
Flow is measured as the product of salt concentration and flow. A well stirred mixture means that salt concentrations within tank and in the output mass flow are the same. Inflow salt concentration remains constant. Hence:

By expanding the previous equation:

The tank capacity and capacity rate of change given in gallons and gallons per minute are, respectivelly:

Since there is no accumulation within the tank, expression is simplified to this:

By rearranging the expression, it is noticed the presence of a First-Order Non-Homogeneous Linear Ordinary Differential Equation:
, where
.

The solution of this equation is:

The salt concentration after 8 minutes is:

The instantaneous amount of salt in the tank is: