Nathan is filling a box with 1-inch cubes. he filled the bottom layer as shown. nathan wants to completely fill the box. how many cubes will nathan need in all? a. 18 b. 26 c. 144 d. 180

we are given

number of cubes in bottom is 3*16=18

we can see that

number of layers is 8

now, we can find total number of cubes

total number of cubes = number of layers*number of cubes in bottom

so, we get

total number of cubes = 8*18

total number of cubes is 144

so, option-CAnswer

to find the perimeter of the rectangle this is the expression:

x-9+x-9+3x-4+3x-4=138

if we simplify it:

8x-26=138

remember, 138 is what it all adds up to

the length is 11.5cm

the width is 57.5cm

the area is 661.25cm^2

the answers might not be correct use at own risk

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