Anew company wants to mail out samples of its hair products. the company has a sample box that is a rectangular prism with a rectangular base with an area of 23 1/3 in². the height of the prism is 1 1/4 in. determine the volume of the sample box.

The volume of the rectangular prism is .

Step-by-step explanation:

Here, box is in the shape of rectangular prism means cuboid shape.

Given:

Rectangular prism base area is in².

Height of the prism is in.

Calculation:

Volume of the rectangular prism is nothing but the volume of cuboid.

Volume of the cuboid is expressed as follow:

V=lbh           …… (1)

Base are of the rectangular prism is expressed as follows:

A=lb             …… (2)

Substitute the equation (2) in (1). We get the expression for volume as follows:

V=Ah

Substitute in² for A and in for h in above equation as follows:

Thus, the volume of the rectangular prism is .

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752

d is the answer

step-by-step explanation: