The table shows how many shirts four garment factories made and how long it took to make them. The relationship between the number of shirts and the number of days required to make the shirts is proportional. Factory
Number of Days
Number of Shirts
A
2
600
B

3
900
C
4
1,200
D

5
1,500

A fifth factory (factory E) can make shirts at the same rate as the first four factories. Which table(s) could represent the production rate of factory E?

Factory
Number of Days
Number of Shirts
E
1
400

Factory
Number of Days
Number of Shirts
E
1
300

Factory
Number of Days
Number of Shirts
E
6
1,800

Factory
Number of Days
Number of Shirts
E
6
2,400

step-by-step explanation:

no, her answer is not correct.   we square the lengths of all sides and then determine whether the pythagorean theorem holds here:

9² + 15² = 306.   this is not equal to the square of the longest side ( that square being 395.   answer c is correct.

the answer is d

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