1)

.
2)

.
3) The particle is moving right when the velocity function is positive:

or

.
4) When

the particle is slowing down because the acceleration is close to zero

the particle is speeding up when acceleration is increasing away from zero:

.
5)

.
Answer:
Step-by-step explanation:
Confidence interval is written in the form, sample mean ± margin of error
The sample mean is an estimator for the population mean. The confidence level is used to express how confident we are that the population mean is within the calculated confidence interval. The lower limit of the given confidence interval is 2.619 hours/day while the upper limit of the confidence interval is 3.401 hours/day
Therefore, the INVALID interpretations of the 95% confidence interval are
A. About 95% of all Cal Poly students spend between 2.619 and 3.401 hours/day watching TV.
B. There is a 95% chance that, on average, Cal Poly students spend between 2.619 and 3.401 hours/day watching TV.
D. In the long run, 95% of the sample means will be between 2.619 and 3.401 hours.
E. None of the above.
The <em><u>correct answer</u></em> is:
Her variable expenses can be reduced.
Explanation:
In a household budget, you have fixed expenses and variable expenses.
Fixed expenses are expenses that are the same from month to month, such as a car payment, rent, power bill, etc. These cannot be reduced; if you were to pay less on your car payment, your car would be repossessed; paying less than you owe on the power bill can result in your power being disconnected; etc.
Variable expenses are expenses that are different from month to month, such as food, clothing, shopping, etc. If you are dealing with a situation where your wages are less than you anticipate, you can reduce items within your variable expenses to make sure you have enough money. For example, you can purchase fewer clothes that pay period or cut your grocery bill down.
Answer:
V = a³/8
Step-by-step explanation:
The volume of the original cube is the cube of the side length:
V = a³
When the side length is reduced to half its former value, the new volume is ...
V = (a/2)³ = a³/2³
V = a³/8 . . . . volume of the new cube
That is the Identity Property of Addition.
If it is adding and the whole number stays the same it is Identity Property of Addition.
If it is multiplying then it would be the Identity Property of Multipulcation. For example for this problem it would be 6x1 in multipulcation in which the whole number would stay the same.
Here are descriptions of all the properties:
https://wikis.engrade.com/mathproperties1