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trasher [3.6K]
3 years ago
10

2. (8 points) If you have n gold coins with one a fake that you know is slightly lighter, how many weighings on the pan balance

will you need to ensure that you can find the fake? Explain your answer.
Mathematics
1 answer:
pogonyaev3 years ago
5 0

Answer:

Only 1 Time

Step-by-step explanation:

Since you know that one coin is fake and that the coin is lighter than the rest , then you would only need to weigh all the coins together 1 time to ensure that you will find the fake coin. We can determine this by doing the following.

<u>Example:</u>

Lets say we have 100 coins that weigh 1 gr each. Meaning that the total weight of the 100 coins would be (100coins*1gr = 100gr) <em><u>IF</u></em> there are no fake coins in the batch.

Knowing this we can weigh the entire batch 1 time and if the total weight is less than 100gr we know that the fake coin is in that batch.

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

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Find the vertices of the hyperbola. Enter the smallest coordinate first.
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Answer:

([-3], [0]), ([3], [0])

Step-by-step explanation:

The given equation of the hyperbola is presented as follows;

\dfrac{x^2}{9} - \dfrac{y^2}{49} = 1

The vertices of an hyperbola (of the form)  \dfrac{x^2}{a^2} - \dfrac{y^2}{b^2} = 1 are (± a, 0)

The given hyperbola can we presented in a similar form as follows;

\dfrac{x^2}{9} - \dfrac{y^2}{49} = \dfrac{x^2}{3^2} - \dfrac{y^2}{7^2} = 1

Therefore, by comparison, the vertices of the parabola are (± 3, 0), which gives;

The vertices of the parabola are ([-3], [0]), ([3], [0]).

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3 years ago
Jason wakes up for school at 5:30 in the morning. If school starts at 7:00 am, how long in minutes does he have from the time wh
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90 minutes

Step-by-step explanation:

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there were n signers of the declaration of independence. the oldest was benjamin franklin, who was y years old. 7 is 10% of y. w
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Answer:

70

Step-by-step explanation:

In this problem 7 is 10% of Ben Franklin's age. To solve you must find what 100% percent of his age is. To do this multiply 7 by 10. You do this because 10% times 10 is equal to 100%. Therefore, his age is 70.

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3 years ago
B = {(0.5k–5, 10), (k+7, 4)} solve for k
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Answer:

The chosen topic is not meant for use with this type of problem. Try the examples below.

√x+2=3

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4 0
2 years ago
The parking spaces in a city lot were created by painting rows of parallel line segments, then painting a line that cuts through
Svetach [21]

Answer:

65°

Step-by-step explanation:

The consecutive interior angles theorem states that if two parallel lines are cut by a transversal line then the resulting pair of consecutive angles formed are supplementary (that is they add up to 180°).

Given that the painting rows are parallel to each other and a painted line (transversal) cut the parallel lines forming consecutive interior angles m∠1 and m∠2. Therefore:

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m∠1 = 65°

3 0
3 years ago
Read 2 more answers
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