Horace says, ''56 is a cube number .''Use two cube numbers that you know to explain why Horace is not correct.
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Horace's statement that "56 is a cube number" is not correct, as 56 is not a perfect cube.
What is A cube number?
A cube number is the result of cubing an integer, meaning it's the product of a number multiplied by itself three times.
To illustrate why 56 is not a cube number, let's consider two cube numbers: 8 and 27.
1. The cube of 2 is 2^3 = 8.
2. The cube of 3 is 3^3 = 27.
Both 8 and 27 are cube numbers because they are obtained by cubing an integer (2 and 3, respectively). However, when you try to find the cube root of 56, you won't get a whole number because there's no integer value that, when cubed, equals 56. In other words, 56 is not the result of cubing any whole number, so it is not a cube number.
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2x+5y+7x=
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so the answer is 9x+5y
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Answer:
10 days
Step-by-step explanation:
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Answer: 36 years
Step-by-step explanation:
Here, the current population of the animal is 1400,
And, the population of an endangered animal by 8% per year.
Also, Further suppose that when the population of this animal falls below 70, its extinction is inevitable.
Let after x years the population of animal falls below 70,
Therefore,
⇒
⇒
⇒
⇒
⇒x>35.9279739462
Thus, after 36 years( Approx) the population of the animal will be fall towards 70.
Final answer:
The Question involves calculating the time it will take for an endangered animal's population to fall to a level that ensures extinction using the concept of Mathematical Exponential decay. Set up the exponential decay formula, substitute the given values, and solve for time.
Explanation:
The situation described in the question is an example of exponential decay, a concept in mathematics where a quantity decreases at a rate proportional to its current value. In this case, the animal's species population is decreasing by 8% per year.
To find the time it takes until the endangered animal's population falls below 70 and faces extinction, we need to set up the decay formula:
Where:
P0 is the initial population (1400 in this instance),
r is the rate of decrease (0.08 as 8% in this instance),
P is the predicted population (70 in this instance), and
t is the time in years that we're trying to solve for.
Solving this equation for t, we get:
t = log(P/P0) / log(1 - r)
Substitute the variables with our values, then compute to find the approximate time when the animal's population is expected to fall below 70.
Learn more about Exponential Decay here:
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Answers
The equivalent expression to show another way to represent the new price will be 0.86c.
What is an equivalent expression?
The equivalent is the expression that is in different forms but is equal to the same value.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
A student received a coupon for 14% off the total purchase price at a clothing store. Let c be the original price of the purchase. The expression c - 0.14c represents the new price of the purchase.
Then the equivalent expression is given as,
⇒ c - 0.14c
⇒ 0.86c
The equivalent expression to show another way to represent the new price will be 0.86c.
More about the equivalent link is given below.
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