State whether the data described below are discrete orcontinuous, and explain why.
The heights (in feet) of different buildings
Choose the correct answer below. A. The data are continuouscontinuous because the data can take on anythe data can take on any value in an intervalvalue in an interval. B. The data are discretediscrete because the data can take on anythe data can take on any value in an intervalvalue in an interval. C. The data are continuouscontinuous because the data can only take onthe data can only take on specific valuesspecific values. D. The data are discretediscrete because the data can only take onthe data can only take on specific valuesspecific values.

Option A) The data are continuous because the data can take on any value in an interval

Step-by-step explanation:

We are given the following in the question:

Data: The heights (in feet) of different buildings

Discrete and continuous data:

Thus, height is a continuous data since it can take any values within an interval and is measured. It can be expressed in decimals.

Thus, the correct answer is

Option A) The data are continuous because the data can take on any value in an interval

the correct functions are

h(x) = 3x + 2  

g(x) = 2^x

step-by-step explanation:

i proceed to calculate the different values ​​of k (x)

case 1)  k(x) = g(x) ∘ h(x)

g(x) ∘ h(x)=g(h(x))

k(x) = [2]^[3x + > is the option  4. k(x) = 2^(3x + 2 )

case 2)  k(x) = g(x) + h(x)

k(x) = [2^x]+[3x + 2]=2^x+3x+> is the option  1.) k(x) = 2^x + 3x + 2

case 3)k(x) = h(x) ÷ g(x)

k(x) =  [3x + 2]/[2^x]=3x/(2^x)+2/(2^x)=3x*(2^-x)+2^(1-x)

is the option  3.)   k(x) = (3x)2^(-x) + 2^(-x + 1 )

case 4)k(x) = g(x) - h(x)

k(x) =  [2^x]-[3x + 2]=2^x-3x-> is the option  2.) k(x) = 2^x - 3x - 2 

case 5)  k(x) = g(x) × h(x)

k(x) = [2^x]*[3x + > is the option  5.) k(x) = 2^x(3x + 2)

case 6)k(x) = h(x) ∘ g(x)

h(x) ∘ g(x)=h(g(x))

k(x)=3*[2^x]+> is the option  6. k(x) = 3(2^x) +2

after simplifying it i got: -36.25 as my answer. hope that !