Answer:
1) 
2) 
Step-by-step explanation:
Please ignore the squiggle in the middle of the page.
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The answer is 4.5 l
To calculate this, we will use the Boyle's law using constant k, pressure P, and volume V:
PV = k
We can forget temperature since it is constant.
We have:
P1V1 = k
P2V2 = k
So, P1V1 = P2V2
P1 = 3 atm
V1 = 1.5 l
P2 = 1 atm
V2 = ?
_____
P1V1 = P2V2
3 atm * 1.5 l = 1 atm * V2
4.5 atm/l = 1 atm * V2
V2 = 4.5 atm l / 1 atm
V2 = 4.5 l
Answer:
Tax is C 4.12
Tip is E 15.00
total =94.10
Step-by-step explanation:
Tax = bill * tax rate
= 74.98 * 5.5%
= 74.98 * .055
= 4.1239
To the nearest cent = 4.12
Tip = bill * tip rate
= 74.98 * 20%
= 74.98 *.2
= 14.996
To the nearest cent = 15.00
The total bill is
Final = bill + tax+ tip
= 74.98 + 4.12+15
= 94.10
Answer:
6
Step-by-step explanation:
y = x² - 6x + 11
Complete the square.
y = x² - 6x + 9 + 2
y = (x - 3)² + 2
a = 1, h = 3, k = 2
a + h + k = 6
Answer:
(a) The slope of f(x) is greater than the slope of g(x)
(b) f(x) has a greater y intercept
Step-by-step explanation:
Given
Solving (a): Compare the slopes
The slope (m) of f(x) is calculated as;
This gives:
Substitute values for f(0) and f(1)
The slope of g(x) can be gotten using the following comparison
So:
Solving (b): Compare the y intercept
y intercept is when 
From the table of f(x)
From the equation of g(x)
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