The equation that describes how the parent function, y = x³, is vertically stretched by a factor of 4 is y = 4x³.
<h3>We can find how the equation is vertically stretched below:</h3>
When an equation is vertically stretched, it means that the parent equation has been multiplied by a number that is more than one.
This means that the equation is multiplied by some factor.
It is given that we should describe how the parent function is vertically stretched by a factor of 4.
The parent function is given as y = x³.
Since the equation is said to be vertically stretched by a factor of 4, we must multiply the parent equation by 4 to stretch it.
Therefore, we have found the equation that describes how the parent function, y = x³, is vertically stretched by a factor of 4 to be y = 4x³.
Learn more about vertically stretching equations here: brainly.com/question/13671886
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Answer:
"The percentage change of a ratio of two variables is approximately the percentage change in the numerator <u>minus</u> the percentage change in the denominator."
Step-by-step explanation:
The percent change in a number is determined by dividing the difference between the new number and original number by the original number and multiplying the result by 100.
Suppose the original ratio of two numbers is:
.
And the new ratio is: 
The percent change is:

Thus, the complete statement is:
"The percentage change of a ratio of two variables is approximately the percentage change in the numerator <u>minus</u> the percentage change in the denominator."
Answer:
171 newspapers.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

How many newspapers should the newsstand operator order to ensure that he runs short on no more than 20% of days
The number of newspapers must be on the 100-20 = 80th percentile. So this value if X when Z has a pvalue of 0.8. So X when Z = 0.84.




So 171 newspapers.
Product of odd number of negative terms is negative.
Hence, I have given all the 8 possibilities.
Please refer to the table attached.
Answer: 
<u>Step-by-step explanation:</u>
The general form of a sin/cos function is: y = A sin/cos (Bx-C) + D where the period (P) = 2π ÷ B
In the given function,
→ 
Half of that period is: 
Calculate the period for each of the options to find a match:
