42. Given the conditional: "If the number of miles you drive increases, then the amount of gas in your tank decreases." The inverse would be:

A. If the amount of gas in your tank decreases, then the number of miles you have driven has increased.

B. If the amount of gas in your tank has not decreased, then the number of miles you have
driven has not increased.

C. If the number of miles you drive does not increase, then the amount of gas in your tank will not decrease.

D. The amount of gas in your tank decreases if and only if the number of miles you drive
increases.

the solution is h=10 because you add 9 to each side of the equation.

step-by-step explanation:

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the answer would be a 24

step-by-step explanation:

c=2πr=2·π·3=24

a) 40 more; b) old factory:   10%, new factory:   16%; c) week 4

explanation:

a) at week 0, we see in the graph that the new factory produces 190 specialty items.  

using the function, substituting 0 in for w,

this is a difference of 230-190 = 40.

b) the function for the old factory is written in the form f(x) = a(1+r)ˣ, where a is the original amount, x is the amount of time and r is the growth rate.   the equation for the old factory is ; 230 is in place of a and is the original amount; w is the amount of time; which means 1+r = 1.1.   this means that r must be 0.1 or 10%.

for the new factory, we find the percent of increase to find the growth rate; the formula for this is

between the first two points, the amount of change is 220-190 = 30; this gives us

30/190 = 0.158 ≈ 0.16 = 16%

c) at week 0, the old factory has 230 while the new factory has 190.

at week 1, the old factory has 230(1.1) = 253 while the new factory has 220.

at week 2, the old factory has 230(1.1²) = 278.3 while the new factory has 252.

at week 3, the old factory has 230(1.1³) = 306.13 while the new factory has 290.

at week 4, the old factory has 230(1.1⁴) = 336.743 while the new factory has 337.   this is the first week that the new factory surpasses the old.