According to a shipping company’s regulations, the girth plus the length of a parcel they transport for their lowest rate may not exceed 120 inches, where by girthwe mean the perimeter of the smallest end. Suppose that we want to ship a parcel that has a square end of width xand an overall length of y, both measured in inches. 1.)Label the provided picture, using x for the length of each side of the square end, and y for the other edge of the package. 2.) How does the length plus girth of 120 inches result in an equation (often called a constraint equation) that relates x and y? Explain, and state the equation. 3.)Solve the equation you found in b) for one of the variables present. 4.)Now determine the volume, v, of the package as a function of a single variable. 5.)What is the domain of the function v in the context of the physical setting of the problem? (Hint: what’s the maximum value of x ? The maximum value of y?)

the terms of a geometric sequence can be found by beginning with the first term and multiplying by the common ratio repeatedly. a recursive formula for a geometric sequence with common ratio r is given by an=ran−1 a n = r a n − 1 for n≥2 n ≥ 2 .

step-by-step explanation:

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

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.