Answer:
the surface area of the square pyramid is 576.66 cm^2
Step-by-step explanation:
The computation of the surface area of square pyramid is given below:
A = a^2 + 2a × √a^2 ÷ √4 + √h^2
where
a = 12 cm
h = 17 cm
Now put the value of a and h in the above formula
= 12^2 + 2(12) × √12^2 ÷ √4 + √17^2
= 576.66 cm^2
hence, the surface area of the square pyramid is 576.66 cm^2
Answer:
Step-by-step explanation:
You need to assume that the slope between the dependent Varian and the numerical independent variable is zero.
In regression analysis, to find the effect of one independent variable on the dependent variable, there has to be no interference from the other independent variables whether they be categorical (dummy) or numerical independent variables.
A dummy variable is one which takes on the value of 0 or 1, to represent the absence or presence (respectively) of a given category which is expected to influence the dependent variable.
When a dummy independent variable is included in a regression model, to know the effect of that dummy or category (e.g. day =1, night =0) on the dependent variable, the influence of the numerical independent variable has to be removed temporarily.
In a regression equation,
Y=a+bX+cK
Y is the dependent variable
a is the intercept on the vertical axis on the graph
b is the slope between the dependent variable Y and the independent numerical variable X
c is the slope between the dependent variable Y and the dummy variable K
Answer:
m = 56
Step-by-step explanation:
1/2m - 5 = 23
add 5 to both sides
1/2m - 5 + 5 = 23 + 5
1/2m = 28
multiply both sides by 2
1/2m(2) = 28(2)
m = 56
Answer: Rational numbers have decimal expansions that repeat or terminate.
Step-by-step explanation:
The explanation of this is the non-terminating but repeating decimal expansion means that although the decimal representation has an infinite number of digits, there is a repetitive pattern to it. The rational number whose denominator is having a factor other than 2 or 5, will not have a terminating decimal number as the result.
The general equation of a line is
y= ax + b
where a is the slope
So a = -7
So y= -7x + b
But it passes through the point (5, -3)
Substitute the coordinates to calculate b:
So -3 = -7(5) + b
-3 = -35 + b
b= 35-3
b= 32
So the equation of the line of slope -7 and passing through the point (5, -3) is
y= -7x + 32
