Answer:
The solution to your inquiry can be found below
Step-by-step explanation:
First method
20 = 5(-3 + x) expanding this equation
20 = -15 + 5x combine like terms
5x = 20 + 15
5x = 35 dividing by 5
5x/5 = 35/5
x = 7
Second method
20/5 = 5/5 (-3 + x) divide both sides by 5
4 = -3 + x adding 3 to both sides
4 + 3 = -3 + 3 + x simplifying
7 = x
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:

Detailed explanation: If the class has 15 boys and 10 girls, this totals 25 students. The likelihood of selecting a girl first would be

. After that selection, there would be one fewer girl and overall student, resulting in the probability for choosing another girl being

. The final probability is obtained by multiplying these two results to yield

.
Based on the graph, it seems that S′(5) is approximately 2, while S′(25) seems to be around -2. The key observation is that these values are of opposite signs. This indicates that at roughly 5ºC, the Coho salmon experiences an increase of about 2 cm/sec in its maximum sustainable speed, whereas at 25ºC it encounters a decrease of approximately 2 cm/sec.