Answer: 1 out of 6
Step-by-step explanation: A number cube has 6 numbers on it. Only one of them is a two. If she were using two number cubes then she would have 2 out of 12 chances of landing on a number 2.
Answer:true!!!
Step-by-step explanation:
Answer: x = -0.377
Step-by-step explanation:
We have the equation:
4^(5*x) = 3^(x - 2)
Now we can use the fact that:
Ln(A^x) = x*Ln(A)
Then we can apply Ln(.) to both sides of the equation to get:
Ln(4^(5*x)) = Ln(3^(x - 2))
(5*x)*Ln(4) = (x - 2)*Ln(3)
(5*x)*Ln(4) - x*Ln(3) = -2*Ln(3)
x*(5*Ln(4) - Ln(3)) = -2*Ln(3)
x = -2*Ln(3)/(5*Ln(4) - Ln(3)) = -0.377
The 3.1 °F/min rate of change of the temperature and 15 minutes change duration gives the change in temperature as 46.5 °F
<h3>How can the change in temperature be found from the rate of change?</h3>
The rate at which the temperature changed = 3.1 °F/min
The duration of the change in temperature = 15 minutes
The relationship between the change in temperature, the rate of change in temperature and the time can be presented as follows;

Where;
∆T = The required change in temperature
∆t = The duration of the change = 15 minutes
Which gives;
∆T = 3.1°F/min × 15 minutes = 46.5 °F
- The change in temperature, ∆T = 46.5 °F
Learn more about the rate of change of a variable here:
brainly.com/question/10208814
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Answer:
y-intercept = 3
The y-intercept represents the initial fee before any miles are traveled.
Step-by-step explanation:
By definition, the <u>y-intercept</u> is the y-coordinate of the point where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0. The coordinates of the y-intercept is (0, <em>b </em>).
Looking at your graph, it shows that the line crosses the y-axis at (0, 3). Therefore, the y-intercept = 3.
The y-intercept represents the initial fee before any miles are traveled. This means that the taxi ride already has a set amount of $3, regardless of the number of miles traveled. This is added to the total cost of the taxi fare, which is represented by y.