Answer:
f(2) = -2
Step-by-step explanation:
f(2) = 2x - 6
f(2) = 2(2) - 6
f(2) = 4 - 6
f(2) = -2
If a 12 oz bottle of shampoo lasted for 16 weeks, we have a ratio of 12:16 which can be shortened to 3:4.
Now if we have 18 oz bottle we know that it's 1/2 more than 12 oz bottle, so the ratio will be also 1/2 more. So if it was 12:16, the new ratio will be:
12 + (1/2 * 12) : 16 + (1/2 * 16)
12 + 6 : 16 + 8
18 : 24
It means that 18 oz bottle should last for 24 weeks. Of course the ratio has to stay the same in its lowest form in both situations and as 18:24 can be shortened to 3:4, it proves it's correct :)
9514 1404 393
Answer:
445.10 feet
Step-by-step explanation:
The relation between angle of depression and distance to the boat is ...
Tan = Opposite/Adjacent
tan(angle of depression) = (200 ft)/(distance to boat)
Then the distance to the boat is ...
distance to boat = (200 ft)/tan(angle of depression)
__
We want the change in distance between the two angles, so ...
change in distance = (200 ft)/tan(17°31') -(200 ft)/tan(46°41')
= (200 ft)(cot(17°31') -cot(46°41'))
change in distance ≈ 445.10 ft
Answer:
f(2)=g(0) and f(0)=g(4)
3rd option for the second pic
Answer:
-m^2 |n|^3 sqrt(n)
Step-by-step explanation:
-sqrt( m^4n^7)
We know that sqrt(ab) = sqrt(a) sqrt(b)
-sqrt(m^4) sqrt(n^7)
The sqrt(m^4) = m^2
The sqrt(n^7) = sqrt(n^6) sqrt(n) = |n|^3 sqrt(n) We take the absolute value because if n is negative, n^6 is postive, but n^3 is negative
-sqrt(m^4) sqrt(n^7)
-m^2 |n|^3 sqrt(n)
