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
Answer:
-2k + 6
hope its right
-2k - (-5) + 1
You should always switch the signs to their opposites if you're mutiplying a negative such as the - (-5) Hope I make sense
-2k + 5 + 1
-2k + 6
x + 6y = 12
You want the y-value to be on one side of the equation, so you have to subtract the x-value from both sides.
6y = -x + 12
Next, you divide both sides by 6, so that the y-value will be by itself.
y = -
+ 2
We know that the slope or the 'm' value is located before the x-value based on y = mx +b, therefore the slope is - 
Answer:
Cos x = 1 -
+
-
+ ...
Step-by-step explanation:
We use Taylor series expansion to answer this question.
We have to find the expansion of cos x at x = 0
f(x) = cos x, f'(x) = -sin x, f''(x) = -cos x, f'''(x) = sin x, f''''(x) = cos x
Now we evaluate them at x = 0.
f(0) = 1, f'(0) = 0, f''(0) = -1, f'''(0) = 0, f''''(0) = 1
Now, by Taylor series expansion we have
f(x) = f(a) + f'(a)(x-a) +
+
+
+ ...
Putting a = 0 and all the values from above in the expansion, we get,
Cos x = 1 -
+
-
+ ...
For a standard normal distribution, the expression that is always equal to 1 is P(z≤-a)+P(-a≤z≤a)+P(Z≥a). This expression represents all of the possible values in a curve, or in other words, the total area of a curve. According to standard normal distribution, the total area of a curve is always equal to 1.