Answer: 32x^7y^15
Step-by-step explanation:
(x)^2(2xy^3)^5
= x^2 * 32x^5y^15
= 32x^7y^15
Answer:
y+2=m(x+2)
Step-by-step explanation:
y - y1 = m(x - x1)
y- (-1) = m( x-(-1) )
y+2 = mx +2m
Answer: 27434
Step-by-step explanation:
Given : Total number of vials = 56
Number of vials that do not have hairline cracks = 13
Then, Number of vials that have hairline cracks =56-13=43
Since , order of selection is not mattering here , so we combinations to find the number of ways.
The number of combinations of m thing r things at a time is given by :-

Now, the number of ways to select at least one out of 3 vials have a hairline crack will be :-

Hence, the required number of ways =27434
The proposal for the price for a number of shirts given by the four companies can be analyzed graphically, given that each price list gives a straight line, and the result presented using a piecewise function approach as follows:

<h3>What is a piecewise function?</h3>
A piecewise defined function is one that has other sub functions which are applied over different intervals of the domain.
The given table of values and equation are plotted on a graph using MS Excel
From the graph, and the table created, we have:
When the number of shirts on order is less than 40, the least expensive is Easy Calculation shirts
When the number of shirts are more than 40 but less than 80, the least expensive proposal is given by Shirtee
When the number of shirts to be ordered is more than 80, the company that gives the least expensive proposal is T-Shirts R Us
The selection table is presented as follows:

Learn more about piecewise defined functions here:
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The new shower head dispenses 3 gallons of water per minute, as shown in the equation y = 3x.
So, 3 x 8 = 24.
Then, to find out how much he saves each day, you would find how much he used before,
11 x 8 = 88
Next we want to see how much Nathan saved, so we subtract the total,
88 - 24 = 64
Nathan saved 64 gallons.