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Tatiana [17]
3 years ago
11

If two kangaroos are racing a 48ft race.The big kangaroo jumps 4ft and the smaller one jumps 2ft, but the smaller one jumps twic

e for every jump the bigger kangaroo takes.Who wins?
Mathematics
1 answer:
Arisa [49]3 years ago
7 0

Answer:

They tie the race

Step-by-step explanation:

Big Kangaroo: 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 = 12 hops

Small Kangaroo: 2 2, 2 2, 2 2, 2 2, 2 2, 2 2, 2 2, 2 2, 2 2, 2 2, 2 2, 2 2 = 12 hops

Each hop is separated by a comma

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m_a_m_a [10]

Use the remainder theorem: we can decompose the given polynomial in terms of quotient and remainder polynomials q(x) and r(x), respectively, such that

x^4 - 5x^3 + x^2 - 10x - 5 = (x + 3) q(x) + r(x)

Then letting x = -3 makes the quotient term vanish, and we're left with a remainder of

r(-3) = (-3)^4 - 5\times(-3)^4 + (-3)^2 - 10\times(-3) - 5 = \boxed{250}

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2 years ago
Mark wants to hang four rectangular pictures in a row on a wall so that the horizontal space between each picture is always the
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3 years ago
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Suppose that 4 freshman, 5 sophomore, and 4 juniors have been nominated to receive a scholarship of $500, $250, and $100. How ma
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Answer:

80 distributions of the three scholarship are possible.

Step-by-step explanation:

Given that 4 freshman, 5 sophomore, and 4 juniors have been nominated to receive a scholarship of $ 500, $ 250, and $ 100, to determine how many distributions of the three scholarship are possible if one scholarship is to be awarded to someone from each class you must perform the following calculation:

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2 years ago
What do you call a french pimple
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bouton

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8 0
3 years ago
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Answer: The answer is (c) ln 4768 = 5x.

Step-by-step explanation:  The given equation is

e^{5x}=4768.

We are to find the logarithmic form of the above equation.

We will be using the following properties of logarithm :

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The solution is as follows:

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Thus, the correct option is (c).

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3 years ago
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