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timofeeve [1]
3 years ago
8

Do you agree with Mark’s reasoning? Is he correct that 2 is a rational number? Explain your answer.

Mathematics
1 answer:
VikaD [51]3 years ago
3 0

Well, I don't know Mark's reasoning, but the square root of 2 is not a rational number. A rational number is a number that can be represented by a fraction - its decimal form must either be finite (have an end) or repeat (for example, 1/3 or .3333333...). The square root of 2 is infinite and cannot be written as a fraction, so it's not rational.

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8 feet per second in miles per hour
umka2103 [35]

Answer:

5.45455

Step-by-step explanation:

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3 years ago
A farmer is planning how to use the land in a rectangular field. The rectangle shown represents the field. a rectangle with the
UkoKoshka [18]

a.  The area of the portion of the field that has crops growing is 4.7 × 10⁶ ft²

b. In scientific notation, the final answer is 4.7 × 10⁶ ft² to 2 significant digits

c. we choose our final answer to have the least significant digit of 2.

<h3>Part A) How to find the portion of the field that has crops growing?</h3>

Since the field is rectangle, the area of the field is given by A = LW where

  • L = length of field and
  • W = width of field.

Given that the field is a rectangle with the bottom labeled 2.7 × 10³ ft and the right side labeled 3.5 × 10³ feet.

The

  • length L = 2.7 × 10³ ft and
  • Width W = 3.5 × 10³ ft

Since the crops are grown on half of the field we have that the area of the crops is A' = A/2

= LW/2

= (2.7 × 10³ ft × 3.5 × 10³ ft)/2

= (9.45 × 10⁶ ft²)/2

= 4.725 × 10⁶ ft²

≅ 4.7 × 10⁶ ft² to 2 significant digits

So, the area of the portion of the field that has crops growing is 4.7 × 10⁶ ft²

<h3>Part B) Write the final answer in scientific notation with the correct number of significant digits, and label with the correct units. </h3>

So, in scientific notation, the final answer is 4.7 × 10⁶ ft² to 2 significant digits

<h3>C) Explain how you chose the number of significant digits in the final answer.</h3>

By the rule of multiplication of number, the result of the product of two numbers cannot have more significant digits than the number with the least significant digit.

So, since the least significant digit is 2, we choose our final answer to have 2 significant digits

So, we choose our final answer to have the least significant digit of 2.

Learn more about scientific notation here:

brainly.com/question/27862246

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8 0
2 years ago
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tia_tia [17]

Answer:

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Step-by-step explanation:

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$5 per pound is a variable : 5x

5x + 4 ≤ 15

5 0
3 years ago
What is the solution to 4log4(x+8)=4^2
Readme [11.4K]
Assuming that's log base 4

4log4(x+8) = 4^2
log4(x+8) = 4^2/4
log4(x+8) = 4
x+8 = 4^4
x+8 = 256
x = 256 - 8
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6 0
3 years ago
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The price of an item has dropped to $68 today. Yesterday it was $80. Find the percentage decrease.
qwelly [4]

Answer:

15 percent

Step-by-step explanation:

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