<h3>
Answer: Choice C) 9m^8</h3>
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Explanation:
Each side of the square is the same, so we have length = width in this case.
Length = 3m^4
Width = 3m^4
Area = (length)*(width) = (3m^4)*(3m^4) = (3*3)*(m^4*m^4) = 9m^8
Note how m^4*m^4 leads to m^8. We add the exponents.
The general rule is a^b*a^c = a^(b+c).
Given:
Two points are N(-1,-11) and P(-1,-3).
To find:
The value of NP.
Solution:
Distance formula:
Two points are N(-1,-11) and P(-1,-3). Using distance formula, we get
On further simplification, we get
Therefore, the value of NP is 8 units.
Answer:
Number line graph with closed circle on 24 and shading to the right.
Step-by-step explanation:
First, the graph has to have a closed circle on only 24.
Since she has $61 and needs at least $85 to buy a skateboard, she needs to have at least $24 saved to buy one.
This means the last 2 answer choices are wrong, because there cannot be shading in between.
The first answer choice is also wrong because it puts a open circle, instead of a closed one, on 24.
So, the correct answer is Number line graph with closed circle on 24 and shading to the right.
How many cups of sugar is needed for 5 Gallons?
3.50
How many cups of sugar is needed for 2 gallons?
1.5
How many cups of sugar would you use for 8 gallons?
6
9514 1404 393
Answer:
- C. (-∞, -2)∪(-2, 1)∪(1, ∞)
- A. The first 12 are $2 ea; $1 ea after
Step-by-step explanation:
1. The denominator in the first part of the function definition factors as ...
x² +x -2 = (x -1)(x +2)
This has zeros at x = -2 and x = 1, which will be values of x excluded from the domain. (These zeros are in the domain x < 2, which is applicable to this part of the function definition.)
The second part of the function definition is defined for all x ≥ 2, so the only exclusions are x = -2 and x = 1. The domain of the piecewise function is ...
(-∞, -2)∪(-2, 1)∪(1, ∞)
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2. It is helpful to take a look at the graph to see what the axis labels are. The x-axis is labeled "number of cupcakes", so "12" on that axis means "12 cupcakes". The y-axis is labeled "total cost", which we are to presume is in dollars. That means the slope of the graph is Δy/Δx = "dollars per cupcake", the cost of one cupcake.
We observe that the slope of the graph decreases at x=12. This means the cost of a cupcake goes down after 12 are purchased. The appropriate description is ...
The first 12 cupcakes cost $2 each, and all cupcakes after that cost $1 each.
(The other choices have either increasing slope at the breakpoint, or a different breakpoint, or both, so cannot be right.)