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Studentka2010 [4]
3 years ago
8

Taylor cuts 1/3 sheet of construction paper for an arts and crafts project.

Mathematics
1 answer:
KonstantinChe [14]3 years ago
7 0
We need more info like a) this b) or this stuff like that
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In a word game, you choose a tile from a bag, replace it, and then choose another. If there are 21 vowels and 18 consonants, wha
Nonamiya [84]

Answer:

21 vowels.....15 consonants.......added = 36 tiles

probability of first picking a consonant : 15/36 reduces to 5/12

replacing it...

probability that second pick is a vowel : 21/36

probability of both : 5/12 * 21/36 = 105 / 432 reduces to 35/144 <===

Step-by-step explanation:

3 0
3 years ago
Use the Euclidean Algorithm to demonstrate that 621 and 82 are relatively prime to each other. Explain.
8090 [49]

Answer:

621 and 82 are relatively prime.

Step-by-step explanation:

Two integers are relatively prime (or coprime) if there is no integer greater than one that divides them both (that is, their greatest common divisor is one).

The greatest common divisor of two integers <em>a</em> and <em>b</em> is the largest integer that divides them both.

The Euclidean algorithm is an efficient method for computing the greatest common divisor of two integers, without explicitly factoring the two integers.

The Euclidean algorithm solves the problem:

<em>Given integers a, b find </em>d=gcd(a,b)<em />

The Euclidean algorithm provides a fast way to determine <em>d</em> without knowing the prime factors of <em>a</em> or <em>b</em>. Here is an outline of the steps:

  1. Let a=x, b=y
  2. Given <em>x</em>, <em>y</em>, use the division algorithm to write x=yq+r, \quad 0\leq r\leq |y|.
  3. If r = 0, stop and output <em>y</em>; this is the gcd of a, b.
  4. If r \neq 0, replace (<em>x, y</em>) by (<em>y, r</em>). Go to step 2.

The division algorithm is an algorithm in which given 2 integers N and D, it computes their quotient Q and remainder R.

Let's say we have to divide N (dividend) by D (divisor). We will take the following steps:

Step 1: Subtract D from N repeatedly until we get a result that lies between 0 (inclusive) and D (exclusive) and is the smallest non-negative number obtained by repeated subtraction.

Step 2: The resulting number is known as the remainder R, and the number of times that D is subtracted is called the quotient Q.

Applying the above steps,

621-82=539\\539-82=457\\457-82=375\\375-82=293\\293-82=211\\211-82=129\\129-82=47\\\\621=82\cdot7+47

621 = 82\cdot 7 + 47\\ 82 = 47\cdot 1 + 35\\ 47 = 35\cdot1 + 12\\ 35 = 12\cdot2 + 11\\ 12 = 11\cdot1 + 1\\ 11 = 1\cdot11 + 0

The gcd(621, 82) is 1. Therefore, 621 and 82 are relatively prime.

5 0
2 years ago
What are the zeros of the function f(x) = x4 − 4x2 − 5?
Gekata [30.6K]

Answer:

A graph shows zeros to be ±3. Factoring those out leaves the quadratic

 (x-2)² +1

which has complex roots 2±i.

The function has roots -3, 3, 2-i, 2+i.

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
SOMEONE PLS HELP ME PLEASE I BEG U AND SHOW WHY PLS I BEG
Illusion [34]

Answer:

The answer is less than one

Step-by-step explanation:

Because 1/2= less than 3

1 1/2= 3 and is less than 9

2 1/2= 5 not 15

8 0
2 years ago
Read 2 more answers
How do i graph q is greater than -1.3 on a number line
kompoz [17]

Answer:

an open circle on -1.3 on the line and draw a line to the right with an arrow.

Step-by-step explanation:

On your number line, draw an open circle on -1.3 and then draw a line on the number line going to the right and ending with an arrow at the end.  The open circle means that it is that starting point, but is not equal to it.

5 0
3 years ago
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