Answer:
your answer is B because with A the size of the dog cant lower and with D if there is less clothing then there cant more people and last we have C it cant be C because the more people there is the more the temp gets hotter not colder
Step-by-step explanation:
<span>Part I: Determining Dimensions
Arnold
has been given a 6 foot by 6 foot sheet of cardboard to make an open
box by cutting an equal size square from each corner, folding up the
resulting flaps, and taping at the corners. Your task is to label
dimensions on a sketch with the same size variable cut from each corner.
*You don't have to draw one, just explain what it would look like*
Answer:
Base of the box:
it is a square
side of the base = 6 foot - x - x. = 6 - 2x
Height of the box: x
Part II: Analyze
How does each variable expression relate to the length, width, and height of the box when folded?
Answer:
length = width = 6 - 2x
height = x
Part III: Extend your Findings
a. Based upon the variables you used in Part II, write a product for the volume.
Answer:
Volume = area of the base × height
Volume = (6 - 2x)² x
b. Expand the product to write a volume function.
Answer:
Volume = (36 - 24x + 4x²)x
Volume = 36x - 24x² + 4x³
c. What domain makes sense for the volume?
Answer:
Since x is a physical dimension x is greater than 0
Since the lenght of the cardboarc sheet is 6 and two squares are cut off, x has to be less than 3
So, the domain is (0, 3)
d. Guess and check values to find the size cut that produces a maximum volume.
*Six guesses are required*
Answer:
x </span>Volume = 36x - 24x² + 4x³
0.1 36(0.1) - 24(0.1)² + 4(0.1)³ = 3.36
0.5 36(0.5) - 24(0.5)² + 4(0.5)³ = 12.5
1.0 36 - 24 + 4 = 16
1.5 36(1.5) - 24(1.5)² + 4(1.5)³ = 13.5
2.0 36(2) - 24(2)² + 4(2)³ = 8
1.7 36(1.7) - 24(1.7)² + 4 (1.7)³ = 11.49
1.2 36(1.2) - 24(1.2)² + 4(1.2)³ = 15.55
Then you can guess that the maximum volume is pretty close to 16 and it is whenx is close to 1.
2.9
Short answer: the same way you do it with any other kind of numbers.
"Place value" means the value of a number comes from where it is (its place) in relation to the decimal point. The digit immediately to the left of the decimal point is the units digit, so tells you the number of units represented.
Each digit to the left of the units digit has a place value that is 10 times that of the digit to its right. Each digit to the right of the units digit (hence to the right of the decimal point) has a place value that is 1/10 that of the digit to its left.
The places have names (see attached).
_____
You can find the place value of a digit by setting all the other digits in the number to zero. For example, the place value of 2 in the number 324 is 020, or 20.
Answer:
1. enlargement by 3 just multiply your x coordinate by 3 and get nine and leave your y just the same
2. just flip your coordinates around using inverse method and you have your answer
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