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3 years ago

Which of the following best describes the term induction?

Mathematics

1 answer:

tatiyna3 years ago

7 0

Answer:

C. Starting with a given set of rules and figuring out what must be true . TRUE

Step by step explanation:

Mathematical Induction

Mathematical Induction is a mathematical technique which we can use to prove any given mathematical statement, result, theorem or corollary with help of induction.

Here, we assume the statement to be true for a smaller natural number (Usually 1) and then prove the statement to be true for ANY ARBITRARY NUMBER say k.

Now, from the given options:

A. Writing down the steps to solve a complicated math problem .

FALSE as the induction method is based on ASSUMPTION and INDUCTION.

B. Forming rules based upon observations and experiences .

FALSE as the induction method is based on ASSUMPTION and INDUCTION. We need to induce the needed statement or Result.

C. Starting with a given set of rules and figuring out what must be true .

TRUE as the induction method is based on ASSUMPTION and INDUCTION.

We try and find out the result with the given existing data.

D. Reducing the solution to a problem in lowest terms.

FALSE as the induction method is based on ASSUMPTION and INDUCTION.

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telo118 [61]

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3 years ago

Four friends equally share three candy bars. Which fraction represents how much each friends receives?

elixir [45]

Each friend would receive 3/4

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3 years ago

PLEASE HELP ASAP THE DETAILS ARE BELOW.What is the value of x?

Aloiza [94]

Answer:

x = 30°.

Step-by-step explanation:

The dashes on the three lines indicate that the three lines are of equal lengths. The smaller triangle made out of the three lines (the one with two vertices on the circumference of the circle and one at the center of the circle) is an isosceles triangle. All three of the triangle's interior angles are 60° since it is isosceles.

The line (the one with arrows on its ends) touches the circle at only one point. That line is a tangent to the circle. That line is perpendicular to the segment that connects the center of the circle to the point of tangency. The angle between the two will be 90°.

The largest triangle includes three angles:

The angle with the center of the circle as its vertice: 60°;
The right angle due to the tangent to the circle: 90°;
The angle x°.

What is the value of x?

The three interior angles of a triangle add up to 180°. As a result,

60° + 90° + x° = 180°

x = 180 - 90 - 60 = 30.

6 0

3 years ago

A temperature of 3225 °F will melt platinum. Gold melts at a temperature of 1947.974 °F.

sertanlavr [38]

Questions like this ("how much higher is x than y?") are answered by computing the ratio of the two quantities.

In fact, for example, the answer to "how much higher is 10 than 5?" is 2, because 10:5 = 2, and indeed 10 is twice as much as 5.

So, we have

$\dfrac{3225}{1947.974}\approx 1.65$

So, the melting temperature of platinum is about one time and a half higher than the melting temperature of gold.

4 0

3 years ago

Which fraction is close to, but less than 1/2?

qwelly [4]

Answer:

1/9, 2/9, 3/9, 4/9, 1/8, 2/8, 3/8, 1/7, 2/7, 3/7, 1/6, 2/6, 1/5, 2/5, 1/4, 1/3.

Step-by-step explanation:

hope this helps,

8 0

3 years ago