<span>3y^2 • 4x^2y • 5x = (3*4*5) * (</span><span>y^2 * y) * (</span><span>x^2*x) = 60 * y^3 * x^3 = 60 (xy)^3
</span>where ((<span>y^2 * y)) adding the powers in case of multiplication
and also for this:</span><span> (<span>x^2*x)</span> </span>
Answer:
Yes, the average speed for the entire trip from A to C is equal to 
Step-by-step explanation:
The average speed of an object is defined as the distance traveled divided by the time elapsed. Velocity is a vector quantity, and average velocity can be defined as the displacement divided by the time. For the special case of straight line motion in the x direction, the average velocity takes the form:

If the beginning and ending velocities for the motion are known, and the acceleration is constant, the average velocity can also be expressed as:

We Know that:

Replacing the values:

Begin by subtracting 1/8 from both sides to get

and get a common denominator of 8 on the right:

. Now simplify and cross-multiply: 39x = -16 andx = -16/39
<h3>
Answer: 6 apples</h3>
x = number of apples originally
50% of x = 0.50*x = amount of apples eaten = 3
0.50x = 3
x = 3/0.50 ....... divide both sides by 0.50
x = 6
You can think of 50% as 1/2. If 3 apples represent half the bag, then the full bag is 6 apples. So half of 6 is 3.
Using the z-distribution, a sample of 142,282 should be taken, which is not practical as it is too large of a sample.
<h3>What is a z-distribution confidence interval?</h3>
The confidence interval is:

The margin of error is:

In which:
is the sample mean.
is the standard deviation for the population.
Assuming an uniform distribution, the standard deviation is given by:

In this problem, we have a 95% confidence level, hence
, z is the value of Z that has a p-value of
, so the critical value is z = 1.96.
The sample size is found solving for n when the margin of error is of M = 0.006, hence:





n = 142,282.
A sample of 142,282 should be taken, which is not practical as it is too large of a sample.
More can be learned about the z-distribution at brainly.com/question/25890103
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