Answer: (a)
Step-by-step explanation:
Given
The pattern is 2, 4, 16, 256...
From the pattern, we can see that the next term is square of the previous i.e.
So, for the term, the function is
For the next term, it is
So,
Answer:
16
Step-by-step explanation:
mult by root three and root 2
2 root 3 turns into 6
5 root 2 turns into 10
the bottom is now 3-2 so it is one
Since you don't need the full answer, here are a couple hints:
- dy/dx is the first derivative
- (d²y) / (dx²) is just the second derivative
- The subscript "x=1" means to find the derivative when x is 1
- X is function of x
- Plug in X into (X² + 3)², the result should be in terms of x
- If the derivatives were calculated properly, the last part of the question should be able to be proved easily.
I hope these tips help
We have to determine a ratio that is equivalent to 7:4. We already know that 60 students didn’t bring a water bottle. So in order to determine the conversion, we divide 60 by 4 to get 15. Now that we know how to produce the ratio we must determine, we can multiply 15 by 7 as well (number of students who brought a water bottle) and get 105. Now all we have to do is add these up 105+60 is 165 total students:)
Answer:
1.) 14.09 m/s
2.) 6.9 m/s
Step-by-step explanation:
Given that the boat is pointing North and can typically move at a speed of 12.8 m/s in calm waters. The boat travels through water where there is a 5.9 m/s current flowing to the East.
The speed of the boat relative to a stationary observer on land will be achieved by using pythagorean theorem
V^2 = 12.8^2 + 5.9^2
V^2 = 198.65
Square root both sides
V = 14.09 m/s
2.) If the boat turns to face directly West.
Since the boat can move at speed 12.8 m/s in a calm water, the speed of the boat if it face west will be
12.8 - 5.9 = 6.9 m/s
Therefore, the boat is moving relative to land at 6.9m/s