Answer:
Step-by-step explanation:
I concluded the answer is.25 because it makes sense and I was correct.
Answer:


Step-by-step explanation:
Step 1:-
We have c1(t) = e^ t i + (sin(t))j + t³k
and c2(t) = e^−t i + (cos(t))j − 6t³k.
By adding c1(t) and c2(t):
c1(t)+c2(t) = e^ t i + (sin(t))j + t³k + e^−t i + (cos(t))j − 6t³k
Now, employing the derivative formula:


Next, differentiate with respect to 't'

By factoring out i, j, and k terms, we arrive at:

P(S) = Probability of Smash = 0.05 (5%)
P(M) = Probability of Modest = 0.5 (50%)
P(F) = Probability of Flop = 0.45 (45%)
Based on this, we utilize the model for discrete random variables, leading to:
E(X) = (0.05 * 5.2) + (0.5 * 0.9) + (0.45 * 0)
= 0.26 + 0.45 + 0
= 0.71 Mill'
To find out the number of days, we should create equations based on the values provided. The total distance Kayla aims to travel combines both her running distance and her biking distance.
200 miles = (6 miles/day)x + (10 miles/day)y
where x signifies the days she spent running and y represents the days bike riding.
If the minimum biking days are set to be 15, indicated by y = 15, we have:
200 miles = (6 miles/day)x + (10 miles/day)(15 days)
Solving for x gives:
200 = 6x + 150
50 = 6x
x = 8.3333 days
Total days = 15 days biking + 8.3333 days running = 23.3333 days, approximately making it 24 days.
Reducing
9x + -31 = 43
Rearranging the components:
-31 + 9x = 43
Finding the solution
-31 + 9x = 43
Isolating the variable 'x'.
Shift all terms with x to one side,
Add '31' to both sides of the equation.
0 + 31 + 9x = 43 + 31
Summing up similar items:
-31 + 31 = 0
0 + 9x = 43 + 31
9x = 43 + 31
Summing similar items:
43 + 31 = 74
9x = 74
Split each side by '9'
x = 8.222222222
Simplifying
x = 8.222222222