Answer:
yes
Step-by-step explanation:
Answer:
Answer (a) is correct
Step-by-step explanation:
This is not the same function that was given to you in the problem.
As you have typed it, this function is linear. The one in the homework problem is exponential.
We will ignore the linear function h(t) = 0.32 - 0.5t.
We will focus on h(t) = 0.32 - 0.5^t.
If t = 0, then 0.5^t = 0.5 ^0 = 1, and so h(0) = 0.32 - 1 = -0.68 => (0, -0.68)
Continuing with a few other t values chosen at random:
h(1) = -0.18
h(2) = 0.07
Notice that h is increasing as x increases!
h(4) = 0.2575
and so on.
answer A is the correct one.
h(1) = 0.32 - 0.5^1 = 0.32 - 0.5 = -0.18
<h3>
Answer: x = 7 and y = 3</h3>
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Explanation:
Apply the difference of squares rule
x² - 4y² = 13
x² - (2y)² = 13
(x - 2y)(x + 2y) = 13
Since x and y are positive integers, this means x-2y and x+2y are both integers as well.
The value 13 is prime. Its only factors are 1 and 13
Since the above equation shows 13 factoring into x-2y and x+2y, then we have two cases:
- A) x-2y = 1 and x+2y = 13
- B) x-2y = 13 and x+2y = 1
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Let's consider case A
We have this system of equations

Add the equations straight down
- x+x becomes 2x
- -2y+2y becomes 0y = 0 which goes away
- 1+13 becomes 14
Therefore we have 2x = 14 solve to x = 7
From here, plug this into either equation to solve for y
x-2y = 1
7 - 2y = 1
-2y = 1-7
-2y = -6
y = -6/(-2)
y = 3
You should get the same result if you used x+2y = 13
----------------
Since we've found that x = 7 and y = 3, notice how case B is not possible
Example: x-2y = 13 becomes 7-2(3) = 13 which is false.
Also, x+2y = 1 would turn into 7+2(3) = 1 which is also false.
-----------------
Let's check those x and y values in the original equation
x² - 4y² = 13
7² - 4*(3)² = 13
49 - 4(9) = 13
49 - 36 = 13
13 = 13
The answer is confirmed.
The amount of stress which is kind of confusing so therefore i would go with psi even though stress would also be an option.