Answer: -231 ft
<u>Step-by-step explanation:</u>
The submarine started at sea level = 0
It submerged 140 ft = -140 ft
It traveled 40 miles horizontally so it is still at -140 ft
It dove down an additional 120 ft = -260 ft <em>(-140 + -120)</em>
It traveled 25 miles horizontally so it is still at -260 ft
It rose 29 ft = -231 ft <em>(-260 + 29)</em>
Note: submerged and dove are negative values and rose is positive
0 - 140 - 120 + 29 = -231
<h3>Given</h3>
... f(x) = x² -4x +1
<h3>Find</h3>
... a) f(-8)
... b) f(x+9)
... c) f(-x)
<h3>Solution</h3>
In each case, put the function argument where x is, then simplify.
a) f(-8) = (-8)² -4(-8) +1 = 64 +32 + 1 = 97
b) f(x+9) = (x+9)² -4(x+9) +1
... = x² +18x +81 -4x -36 +1
... f(x+9) = x² +14x +46
c) f(-x) = (-x)² -4(-x) +1
... f(-x) = x² +4x +1
Day Sis you
1 -30 20
2 0 40
3 30 60
4 60 80
5 90 100
6 120 120
So day 6.
Answer:
The antiderivative is
.
Step-by-step explanation:
Antiderivative F(x)
This is the integral of 
So
F′(x) = f(x) = 6 + 24x^3 + 18x^5
Then:



F(1)=0
when
. We use this to find K.



Thus
The antiderivative is
.
Answer:
2/3 ≈ 0.6667
Step-by-step explanation:
apply soh cah toa
sine=opposite/hypo
sine=4/6
sine=2/3