Answer:
dV/dt = 155.74 ft^3/minute
Step-by-step explanation:
Volume V = Area × thickness
Area A= πr ^2
Thickness = 0.2 ft
Volume V = 0.2A = 0.2πr^2
V = 0.2πr^2
Differentiating both sides;
dV/dt = 0.2π × 2r dr/dt = 0.4πr.dr/dt
Given;
r = 400 ft
dr/dt = 0.31 ft/minute
π = 3.14
Substituting the values
dV/dt = 0.4πr.dr/dt = 0.4 × 3.14 × 400 × 0.31
dV/dt = 155.74 ft^3/minute
Answer:
8/35 de litro
Step-by-step explanation:
De la pregunta, sabemos que se necesitan 4/7 de un litro para pintar un metro cuadrado de pared.
Ahora necesitamos saber la cantidad de pintura necesaria para pintar 2/5 de un metro cuadrado.
Digamos que la cantidad necesaria es x
Ahora hagamos una relación matemática;
4/7 pinturas 1 metro cuadrado
x pintará 2/5 metros
cuadrados por lo tanto, x * 1 = 4/7 * 2/5 = 8/35
Step-by-step explanation:
If a triangle is rotated 90° about the origin.
The rule that describes the transformation is
(x, y) → (–y, x)
Answer:
The average change in rent can be determined by substituting the value of <em>X</em> as 5000 in the regression equation.
Step-by-step explanation:
A simple linear regression line is used to predict the value of the dependent variable from the independent variable.
The general form is:

Dependent variables are those variables that are under study, i.e. they are being observed for any changes when the other variables in the model are changed.
The dependent variables are also known as response variables.
In this case the dependent variable is the average change in rent for a 1-bedroom apartment.
Independent variables are the variables that are being altered to see a proportionate change in the dependent variable. In a regression model there can be one or more than one independent variables.
The independent variables are also known as the predictor variables.
In this case the independent variable is the average income in a city.
So, for an increase of $5,000 in incomes the average change in rent can be determined by substituting the value of <em>X</em> as 5000 in the regression equation.