Answer:
y = x -3
Step-by-step explanation:
From the graph we see the line goes from point (0, -3) to point ( 3, 0), so we can find the slope as m= rise ( go up 3) / run ( go to the right 3) = 3/ 3 = 1
From the graph we can also see the y-intercept ( where the line intersects the y axis is at b = -3
The general equation of the line is y= mx+ b
Our line's equation is y = x -3, because m=1 and b= -3
The pressure is 39 Pa if the volume is expanded to 168L and the pressure, P, of a gas varies inversely with its volume, V.
<h3>What is a proportional relationship?</h3>
It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.
We have:
The pressure, P, of a gas varies inversely with its volume, V.
P ∝ 1/V
P = k/V
k is the constant.
If P = 126 Pa and V = 52 L
126 = k/52
k = 6552
P = 6552/V
Plug V = 168 L
P = 6552/168 = 39 Pa
Thus, the pressure is 39 Pa if the volume is expanded to 168L and the pressure, P, of a gas varies inversely with its volume, V.
Learn more about the proportional here:
brainly.com/question/14263719
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Answer:
Number of questions constraint:
x + y ≥ 15
Time constraint :
5x + 8y ≤ 120
Step-by-step explanation:
Let :
x = number of equations
y = number of word problems
Number of answers required = atleast 15
Equation takes 5 minutes
Word problem takes 8 minutes
Time available to complete exam = 120 minutes
Constraints :
Number of questions required
Total questions shout be atleast 15
x + y ≥ 15
Time constraint :
5x + 8y ≤ 120
Answer:
Step-by-step explanation:
Given that, we have a number cube label 1,2,3,4,5 and 6.
Then, the sample space is
S= {1, 2, 3, 4, 5, 6}
The probability of rolling a number different from 9?
Since we don't have 9 in the sample space, then the probability of rolling a number different from 9 will be the have 1,2,3,4,5 and 6 as the outcome
Then,
Pr(rolling number different from 9) = 6 / 6 = 1
Pr(rolling number different from 9) = 1.
The second option is correct.
Answer:
Second Option and Fourth Option
Step-by-step explanation:
We know that:
Then:
Also:
For the sum of angles identity:
Then:
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