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Svetradugi [14.3K]
2 years ago
5

An object moves 100 m in 4 s and then remains at rest for an additional 1 s.

Mathematics
1 answer:
nydimaria [60]2 years ago
8 0

Answer:

20 m per second

Step-by-step explanation:

100 / 5 = 20

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She started with 81 baseball cards.
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How many pairs of consecutive natural numbers have a product of less than 40000? I am in 5th grade. This is supposed to be easy
Ugo [173]

Answer:

There are 199 pairs of consecutive natural numbers whose product is less than 40000.

Step-by-step explanation:

We notice that such statement can be translated into this inequation:

n \cdot (n+1) < 40000

Now we solve this inequation to the highest value of n that satisfy the inequation:

n^{2}+n < 40000

n^{2}+n -40000

The Quadratic Formula shows that roots are:

n_{1,2} = \frac{-1\pm\sqrt{1^{2}-4\cdot (1)\cdot (-40000)}}{2\cdot (1)}

n_{1,2} = -\frac{1}{2}\pm \frac{1}{2} \cdot \sqrt{160001}

n_{1} = -\frac{1}{2}+\frac{1}{2}\cdot \sqrt{160001}

n_{1} \approx 199.501

n_{2} = -\frac{1}{2}-\frac{1}{2}\cdot \sqrt{160001}

n_{2} \approx -200.501

Only the first root is valid source to determine the highest possible value of n, which is n_{max} = 199. Each natural number represents an element itself and each pair represents an element as a function of the lowest consecutive natural number. Hence, there are 199 pairs of consecutive natural numbers whose product is less than 40000.

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2 years ago
Giovanni orders a pastry from the bakery. The price of the pastry before tax is $4.50. Giovanni wants to know the total price in
Gennadij [26K]

Answer:

$4.95

Step-by-step explanation:

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Find the range, mean, median, and mode of the following data set.
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Answer:

<em>The answer to your question would be D.</em>

<em>D. Range: 20</em>

<em>Mean: 10</em>

<em>Median: 9</em>

<em>Mode: none</em>

Step-by-step explanation:

1, 2, 3, 8, 9, 12, 14, 20, 21

Range: 21 - 1 = 20

Mean: 1 + 2 + 3 + 8 + 9 + 12 + 14 + 20 + 21 = 90/9 = 10

Median: 9

Mode: there are no mode in the following given data set.

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2 years ago
Evaluate the expression x to the power of two plus 3x if x equals 1.7
Eddi Din [679]

the answer to your question is 5.1.

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3 years ago
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