Jason is drawing the floor plan of his bedroom. he is drawing everything with dimensions that are 1/12 of the actual size. his bed measures 6 ft by 3 ft, and the room measures 14 ft by 16 ft. what are the dimensions of his bed and room in his drawing?

New bed dimension of bed 0.5 ft, 0.25 ft

New bed dimension of room 1.16 ft, 1.33 ft

Step-by-step explanation:

Given data:

bed dimension is given as 6 ft by 3 ft

room dimension is given as 14 ft 16 ft

according to the given information , new dimension of the room and bed will be 1/12 times of actual dimension. therefore we have

New bed dimension of bed

                                 = 0.5 ft, 0.25 ft

New bed dimension of room

                                                 = 1.16 ft, 1.33 ft

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places