Answer:
3x-x+2=4
Step-by-step explanation:
The domain of f(x)=2^x would be the x values. This would include all values that you can input as x in order to make this problem work. The domain of a function is usually all real numbers. The range of f(x)=2^x would be the y values. This would include all values that would be the output for the y value. An example of this would be if you used 2 as x then the function would read f(x)=2^2. The y would equal 4 which would be included in the range of this function. To find the domain and range of the inverse you would follow the proper steps to get the inverse of the function which would be x=2^y. The domain would be the x values and the range would be the y values. If you put 4 as x which would be your input for the domain you would get 2^4 = 16 for the y which would be the range.
To find the volume of the box you will use the volume of the sphere formula to find the radius of the circular region of the sphere. You wil then double the radius to find the diameter.
V = 4/3 x pi x r^3
972 x pi= 4/3 x pi x r^3
729 = r^3
The cubic root of 729 is 9 because 9 x 9 x 9 = 729.
The radius is 9 inches, and the diameter is 18 inches.
The volume of the box is 18 in x 18 in x 18 in or 5832 in.³.
Answer:
15.81
Step-by-step explanation:
Use the distance formula:
So the distance formula for two given points is
Distance= sqrt((x2-x1)^2 +(y2-y1)^2 ) =sqrt((-3-6)^2 +(-8-5)^2 )
=sqrt((-9)^2 +(-13)^2 )
=sqrt(81+169)
=sqrt(250)
=15.81
Hope this helped
:)