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Sample set b

Perform the following multiplications.

4 5 5 6 size 12{ { {4} over {5} } cdot { {5} over {6} } } {}

4 2 5 1 5 1 6 3 = 2 1 1 3 = 2 3 size 12{ { { { { {4}}} cSup { size 8{2} } } over { { { {5}}} cSub { size 8{1} } } } cdot { { { { {5}}} cSup { size 8{1} } } over { { { {6}}} cSub { size 8{3} } } } = { {2 cdot 1} over {1 cdot 3} } = { {2} over {3} } } {}

Divide 4 and 6 by 2
Divide 5 and 5 by 5

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8 12 8 10 size 12{ { {8} over {"12"} } cdot { {8} over {"10"} } } {}

8 4 12 3 8 2 10 5 = 4 2 3 5 = 8 15 size 12{ { { { { {8}}} cSup { size 8{4} } } over { { { {1}} { {2}}} cSub { size 8{3} } } } cdot { { { { {8}}} cSup { size 8{2} } } over { { { {1}} { {0}}} cSub { size 8{5} } } } = { {4 cdot 2} over {3 cdot 5} } = { {8} over {"15"} } } {}

Divide 8 and 10 by 2.
Divide 8 and 12 by 4.

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8 5 12 = 8 2 1 5 12 3 = 2 5 1 3 = 10 3 size 12{8 cdot { {5} over {"12"} } = { { { { {8}}} cSup { size 8{2} } } over {1} } cdot { {5} over { { { {1}} { {2}}} cSub { size 8{3} } } } = { {2 cdot 5} over {1 cdot 3} } = { {"10"} over {3} } } {}

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35 18 63 105 size 12{ { {"35"} over {"18"} } cdot { {"63"} over {"105"} } } {}

35 7 1 18 2 63 7 105 21 3 = 1 7 2 3 = 7 6

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13 9 6 39 1 12 size 12{ { {"13"} over {9} } cdot { {6} over {"39"} } cdot { {1} over {"12"} } } {}

13 1 9 6 2 1 39 3 1 1 12 6 = 1 1 1 9 1 6 = 1 54 size 12{ { { { { {1}} { {3}}} cSup { size 8{1} } } over {9} } cdot { { { { {6}}} cSup { size 8{ { { {2}}} cSup { size 6{1} } } } } over { { { {3}} { {9}}} cSub { { { {3}}} cSub { size 6{1} } } } } size 12{ cdot { {1} over {"12"} } = { {1 cdot 1 cdot 1} over {9 cdot 1 cdot 6} } = { {1} over {"54"} } }} {}

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Practice set b

Perform the following multiplications.

2 3 7 8 size 12{ { {2} over {3} } cdot { {7} over {8} } } {}

7 12 size 12{ { {7} over {"12"} } } {}

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25 12 10 45 size 12{ { {"25"} over {"12"} } cdot { {"10"} over {"45"} } } {}

25 54 size 12{ { {"25"} over {"54"} } } {}

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40 48 72 90 size 12{ { {"40"} over {"48"} } cdot { {"72"} over {"90"} } } {}

2 3 size 12{ { {2} over {3} } } {}

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7 2 49 size 12{7 cdot { {2} over {"49"} } } {}

2 7 size 12{ { {2} over {7} } } {}

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12 3 8 size 12{"12" cdot { {3} over {8} } } {}

9 2 size 12{ { {9} over {2} } } {}

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13 7 14 26 size 12{ left ( { {"13"} over {7} } right ) left ( { {"14"} over {"26"} } right )} {}

1

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16 10 22 6 21 44 size 12{ { {"16"} over {"10"} } cdot { {"22"} over {6} } cdot { {"21"} over {"44"} } } {}

14 5 size 12{ { {"14"} over {5} } } {}

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Multiplication of mixed numbers

Multiplying mixed numbers

To perform a multiplication in which there are mixed numbers, it is convenient to first convert each mixed number to an improper fraction, then multiply.

Sample set c

Perform the following multiplications. Convert improper fractions to mixed numbers.

1 1 8 4 2 3 size 12{1 { {1} over {8} } cdot 4 { {2} over {3} } } {}

Convert each mixed number to an improper fraction.

1 1 8 = 8 1 + 1 8 = 9 8 size 12{1 { {1} over {8} } = { {8 cdot 1+1} over {8} } = { {9} over {8} } } {}

4 2 3 = 4 3 + 2 3 = 14 3 size 12{4 { {2} over {3} } = { {4 cdot 3+2} over {3} } = { {"14"} over {3} } } {}

9 3 8 4 14 7 3 1 = 3 7 4 1 = 21 4 = 5 1 4 size 12{ { { { { {9}}} cSup { size 8{3} } } over { { { {8}}} cSub { size 8{4} } } } cdot { { { { {1}} { {4}}} cSup { size 8{7} } } over { {3} cSub { size 8{1} } } } = { {3 cdot 7} over {4 cdot 1} } = { {"21"} over {4} } =5 { {1} over {4} } } {}

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16 8 1 5 size 12{"16" cdot 8 { {1} over {5} } } {}

Convert 8 1 5 size 12{8 { {1} over {5} } } {} to an improper fraction.

8 1 5 = 5 8 + 1 5 = 41 5 size 12{8 { {1} over {5} } = { {5 cdot 8+1} over {5} } = { {"41"} over {5} } } {}

16 1 41 5 .

There are no common factors to divide out.

16 1 41 5 = 16 41 1 5 = 656 5 = 131 1 5 size 12{ { {"16"} over {1} } cdot { {"41"} over {5} } = { {"16" cdot "41"} over {1 cdot 5} } = { {"656"} over {5} } ="131" { {1} over {5} } } {}

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9 1 6 12 3 5 size 12{9 { {1} over {6} } cdot "12" { {3} over {5} } } {}

Convert to improper fractions.

9 1 6 = 6 9 + 1 6 = 55 6 size 12{9 { {1} over {6} } = { {6 cdot 9+1} over {6} } = { {"55"} over {6} } } {}

12 3 5 = 5 12 + 3 5 = 63 5 size 12{"12" { {3} over {5} } = { {5 cdot "12"+3} over {5} } = { {"63"} over {5} } } {}

55 11 6 2 63 21 5 1 = 11 21 2 1 = 231 2 = 115 1 2 size 12{ { { { { {5}} { {5}}} cSup { size 8{"11"} } } over { { { {6}}} cSub { size 8{2} } } } cdot { { { { {6}} { {3}}} cSup { size 8{"21"} } } over { { { {5}}} cSub { size 8{1} } } } = { {"11" cdot "21"} over {2 cdot 1} } = { {"231"} over {2} } ="115" { {1} over {2} } } {}

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11 8 4 1 2 3 1 8 = 11 8 9 3 2 1 10 5 3 1 = 11 3 5 8 1 1 = 165 8 = 20 5 8

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Practice set c

Perform the following multiplications. Convert improper fractions to mixed numbers.

2 2 3 2 1 4 size 12{2 { {2} over {3} } cdot 2 { {1} over {4} } } {}

6

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6 2 3 3 3 10 size 12{6 { {2} over {3} } cdot 3 { {3} over {"10"} } } {}

22

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7 1 8 12 size 12{7 { {1} over {8} } cdot "12"} {}

85 1 2 size 12{"85" { {1} over {2} } } {}

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2 2 5 3 3 4 3 1 3 size 12{2 { {2} over {5} } cdot 3 { {3} over {4} } cdot 3 { {1} over {3} } } {}

30

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Powers and roots of fractions

Sample set d

Find the value of each of the following.

1 6 2 = 1 6 1 6 = 1 1 6 6 = 1 36 size 12{ left ( { {1} over {6} } right ) rSup { size 8{2} } = { {1} over {6} } cdot { {1} over {6} } = { {1 cdot 1} over {6 cdot 6} } = { {1} over {"36"} } } {}

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9 100 size 12{ sqrt { { {9} over {"100"} } } } {} . We’re looking for a number, call it ?, such that when it is squared, 9 100 size 12{ { {9} over {"100"} } } {} is produced.

? 2 = 9 100 size 12{ left (? right ) rSup { size 8{2} } = { {9} over {"100"} } } {}

We know that

3 2 = 9 size 12{3 rSup { size 8{2} } =9} {} and 10 2 = 100 size 12{"10" rSup { size 8{2} } ="100"} {}

We’ll try 3 10 size 12{ { {3} over {"10"} } } {} . Since

3 10 2 = 3 10 3 10 = 3 3 10 10 = 9 100 size 12{ left ( { {3} over {"10"} } right ) rSup { size 8{2} } = { {3} over {"10"} } cdot { {3} over {"10"} } = { {3 cdot 3} over {"10" cdot "10"} } = { {9} over {"100"} } } {}

9 100 = 3 10 size 12{ sqrt { { {9} over {"100"} } ={}} { {3} over {"10"} } } {}

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4 2 5 100 121 size 12{4 { {2} over {5} } cdot sqrt { { {"100"} over {"121"} } } } {}

22 2 5 1 10 2 11 1 = 2 2 1 1 = 4 1 = 4 size 12{ { { { { {2}} { {2}}} cSup { size 8{2} } } over { { { {5}}} cSub { size 8{1} } } } cdot { { { { {1}} { {0}}} cSup { size 8{2} } } over { { { {1}} { {1}}} cSub { size 8{1} } } } = { {2 cdot 2} over {1 cdot 1} } = { {4} over {1} } =4} {}

4 2 5 100 121 = 4 size 12{4 { {2} over {5} } cdot sqrt { { {"100"} over {"121"} } =4} } {}

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Practice set d

Find the value of each of the following.

1 8 2 size 12{ left ( { {1} over {8} } right ) rSup { size 8{2} } } {}

1 64

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3 10 2 size 12{ left ( { {3} over {"10"} } right ) rSup { size 8{2} } } {}

9 100

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4 9 size 12{ sqrt { { {4} over {9} } } } {}

2 3

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1 4 size 12{ sqrt { { {1} over {4} } } } {}

1 2

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3 8 1 9 size 12{ { {3} over {8} } cdot sqrt { { {1} over {9} } } } {}

1 8

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9 1 3 81 100 size 12{9 { {1} over {3} } cdot sqrt { { {"81"} over {"100"} } } } {}

8 2 5

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2 8 13 169 16 size 12{2 { {8} over {"13"} } cdot sqrt { { {"169"} over {"16"} } } } {}

8 1 2

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Exercises

For the following six problems, use the diagrams to find each of the following parts. Use multiplication to verify your re­sult.

3 4 size 12{ { {3} over {4} } } {} of 1 3 size 12{ { {1} over {3} } } {}

A rectangle divided into twelve parts in a pattern of four rows and three columns.

1 4 size 12{ { {1} over {4} } } {}

A rectangle divided into twelve parts in a pattern of four rows and three columns. Three of the parts are shaded.

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2 3 size 12{ { {2} over {3} } } {} of 3 5 size 12{ { {3} over {5} } } {}

A rectangle divided into twelve parts in a pattern of three rows and four columns.

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2 7 size 12{ { {2} over {7} } } {} of 7 8 size 12{ { {7} over {8} } } {}

A rectangle divided into fifty-six parts in a pattern of seven rows and eight columns.

1 4 size 12{ { {1} over {4} } } {}

A rectangle divided into fifty-six parts in a pattern of seven rows and eight columns. Fourteen of the parts are shaded.

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5 6 size 12{ { {5} over {6} } } {} of 3 4 size 12{ { {3} over {4} } } {}

A rectangle divided into twenty-four parts in a pattern of six rows and four columns.

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1 8 size 12{ { {1} over {8} } } {} of 1 8 size 12{ { {1} over {8} } } {}

A rectangle divided into sixty-four parts in a pattern of eight rows and eight columns.

1 64 size 12{ { {1} over {"64"} } } {}

A rectangle divided into sixty-four parts in a pattern of eight rows and eight columns. One part is shaded.

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7 12 size 12{ { {7} over {"12"} } } {} of 6 7 size 12{ { {6} over {7} } } {}

A rectangle divided into eighty-four parts in a pattern of twelve rows and seven columns.

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For the following problems, find each part without using a diagram.

1 2 size 12{ { {1} over {2} } } {} of 4 5 size 12{ { {4} over {5} } } {}

2 5 size 12{ { {2} over {5} } } {}

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3 5 size 12{ { {3} over {5} } } {} of 5 12 size 12{ { {5} over {"12"} } } {}

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1 4 size 12{ { {1} over {4} } } {} of 8 9 size 12{ { {8} over {9} } } {}

2 9 size 12{ { {2} over {9} } } {}

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3 16 size 12{ { {3} over {"16"} } } {} of 12 15 size 12{ { {"12"} over {"15"} } } {}

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2 9  of  6 5 size 12{ { {2} over {9} } "of" { {6} over {5} } } {}

4 15 size 12{ { {4} over {"15"} } } {}

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1 8  of  3 8 size 12{ { {1} over {8} } ital "of" { {3} over {8} } } {}

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2 3  of  9 10 size 12{ { {2} over {3} } ital "of" { {9} over {"10"} } } {}

3 5 size 12{ { {3} over {5} } } {}

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18 19  of  38 54 size 12{ { {"18"} over {"19"} } ital "of" { {"38"} over {"54"} } } {}

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5 6  of  2 2 5 size 12{ { {5} over {6} } ital "of"2 { {2} over {5} } } {}

2 size 12{2} {}

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3 4  of  3 3 5 size 12{ { {3} over {4} } ital "of"3 { {3} over {5} } } {}

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3 2  of  2 2 9 size 12{ { {3} over {2} } ital "of"2 { {2} over {9} } } {}

10 3  or  3 1 3 size 12{ { {"10"} over {3} } " or "3 { {1} over {3} } } {}

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15 4  of  4 4 5 size 12{ { {"15"} over {4} } ital "of"4 { {4} over {5} } } {}

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5 1 3  of  9 3 4 size 12{5 { {1} over {3} } ital "of"9 { {3} over {4} } } {}

52

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1 13 15  of  8 3 4 size 12{1 { {"13"} over {"15"} } ital "of"8 { {3} over {4} } } {}

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8 9  of  3 4  of  2 3 size 12{ { {8} over {9} } ital "of" { {3} over {4} } ital "of" { {2} over {3} } } {}

4 9 size 12{ { {4} over {9} } } {}

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1 6 of 12 13 of 26 36 size 12{ { {1} over {6} } " of " { {"12"} over {"13"} } " of " { {"26"} over {"36"} } } {}

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1 2 of 1 3 of 1 4 size 12{ { {1} over {2} } " of " { {1} over {3} } " of " { {1} over {4} } } {}

1 24 size 12{ { {1} over {"24"} } } {}

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1 3 7 of 5 1 5 of 8 1 3 size 12{1 { {3} over {7} } " of 5" { {1} over {5} } " of 8" { {1} over {3} } } {}

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2 4 5 of 5 5 6 of 7 5 7 size 12{2 { {4} over {5} } " of 5" { {5} over {6} } " of 7" { {5} over {7} } } {}

126

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For the following problems, find the products. Be sure to reduce.

1 3 2 3 size 12{ { {1} over {3} } cdot { {2} over {3} } } {}

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1 2 1 2 size 12{ { {1} over {2} } cdot { {1} over {2} } } {}

1 4 size 12{ { {1} over {4} } } {}

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3 4 3 8 size 12{ { {3} over {4} } cdot { {3} over {8} } } {}

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2 5 5 6 size 12{ { {2} over {5} } cdot { {5} over {6} } } {}

1 3 size 12{ { {1} over {3} } } {}

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3 8 8 9 size 12{ { {3} over {8} } cdot { {8} over {9} } } {}

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5 6 14 15 size 12{ { {5} over {6} } cdot { {"14"} over {"15"} } } {}

7 9 size 12{ { {7} over {9} } } {}

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4 7 7 4 size 12{ { {4} over {7} } cdot { {7} over {4} } } {}

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3 11 11 3 size 12{ { {3} over {"11"} } cdot { {"11"} over {3} } } {}

1

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9 16 20 27 size 12{ { {9} over {"16"} } cdot { {"20"} over {"27"} } } {}

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35 36 48 55 size 12{ { {"35"} over {"36"} } cdot { {"48"} over {"55"} } } {}

28 33 size 12{ { {"28"} over {"33"} } } {}

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21 25 15 14 size 12{ { {"21"} over {"25"} } cdot { {"15"} over {"14"} } } {}

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76 99 66 38 size 12{ { {"76"} over {"99"} } cdot { {"66"} over {"38"} } } {}

4 3 size 12{ { {4} over {3} } } {}

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3 7 14 18 6 2 size 12{ { {3} over {7} } cdot { {"14"} over {"18"} } cdot { {6} over {2} } } {}

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4 15 10 3 27 2 size 12{ { {4} over {"15"} } cdot { {"10"} over {3} } cdot { {"27"} over {2} } } {}

12

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14 15 21 28 45 7 size 12{ { {"14"} over {"15"} } cdot { {"21"} over {"28"} } cdot { {"45"} over {7} } } {}

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8 3 15 4 16 21 size 12{ { {8} over {3} } cdot { {"15"} over {4} } cdot { {"16"} over {"21"} } } {}

7 13 21 or 160 21 size 12{7 { {"13"} over {"21"} } " or " { {"160"} over {"21"} } } {}

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18 14 21 35 36 7 size 12{ { {"18"} over {"14"} } cdot { {"21"} over {"35"} } cdot { {"36"} over {7} } } {}

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3 5 20 size 12{ { {3} over {5} } cdot "20"} {}

12

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8 9 18 size 12{ { {8} over {9} } cdot "18"} {}

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6 11 33 size 12{ { {6} over {"11"} } cdot "33"} {}

18

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18 19 38 size 12{ { {"18"} over {"19"} } cdot "38"} {}

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5 6 10 size 12{ { {5} over {6} } cdot "10"} {}

25 3 or 8 1 3 size 12{ { {"25"} over {3} } " or 8" { {1} over {3} } } {}

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1 9 3 size 12{ { {1} over {9} } cdot 3} {}

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5 3 8 size 12{5 cdot { {3} over {8} } } {}

15 8 =1 7 8 size 12{ { {"15"} over {8} } "=1" { {7} over {8} } } {}

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16 1 4 size 12{"16" cdot { {1} over {4} } } {}

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2 3 12 3 4 size 12{ { {2} over {3} } cdot "12" cdot { {3} over {4} } } {}

6

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3 8 24 2 3 size 12{ { {3} over {8} } cdot "24" cdot { {2} over {3} } } {}

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5 18 10 2 5 size 12{ { {5} over {"18"} } cdot "10" cdot { {2} over {5} } } {}

10 9 =1 1 9 size 12{ { {"10"} over {9} } "=1" { {1} over {9} } } {}

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16 15 50 3 10 size 12{ { {"16"} over {"15"} } cdot "50" cdot { {3} over {"10"} } } {}

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5 1 3 27 32 size 12{5 { {1} over {3} } cdot { {"27"} over {"32"} } } {}

9 2 =4 1 2 size 12{ { {9} over {2} } "=4" { {1} over {2} } } {}

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2 6 7 5 3 5 size 12{2 { {6} over {7} } cdot 5 { {3} over {5} } } {}

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6 1 4 2 4 15 size 12{6 { {1} over {4} } cdot 2 { {4} over {"15"} } } {}

85 6 =14 1 6 size 12{ { {"85"} over {6} } "=14" { {1} over {6} } } {}

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9 1 3 9 16 1 1 3 size 12{9 { {1} over {3} } cdot { {9} over {"16"} } cdot 1 { {1} over {3} } } {}

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3 5 9 1 13 14 10 1 2 size 12{3 { {5} over {9} } cdot 1 { {"13"} over {"14"} } cdot "10" { {1} over {2} } } {}

72

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20 1 4 8 2 3 16 4 5 size 12{"20" { {1} over {4} } cdot 8 { {2} over {3} } cdot "16" { {4} over {5} } } {}

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2 3 2 size 12{ left ( { {2} over {3} } right ) rSup { size 8{2} } } {}

4 9 size 12{ { {4} over {9} } } {}

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3 8 2 size 12{ left ( { {3} over {8} } right ) rSup { size 8{2} } } {}

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2 11 2 size 12{ left ( { {2} over {"11"} } right ) rSup { size 8{2} } } {}

4 121 size 12{ { {4} over {"121"} } } {}

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8 9 2 size 12{ left ( { {8} over {9} } right ) rSup { size 8{2} } } {}

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1 2 2 size 12{ left ( { {1} over {2} } right ) rSup { size 8{2} } } {}

1 4 size 12{ { {1} over {4} } } {}

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3 5 2 20 3 size 12{ left ( { {3} over {5} } right ) rSup { size 8{2} } cdot { {"20"} over {3} } } {}

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1 4 2 16 15 size 12{ left ( { {1} over {4} } right ) rSup { size 8{2} } cdot { {"16"} over {"15"} } } {}

1 15 size 12{ { {1} over {"15"} } } {}

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1 2 2 8 9 size 12{ left ( { {1} over {2} } right ) rSup { size 8{2} } cdot { {8} over {9} } } {}

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1 2 2 2 5 2 size 12{ left ( { {1} over {2} } right ) rSup { size 8{2} } cdot left ( { {2} over {5} } right ) rSup { size 8{2} } } {}

1 25 size 12{ { {1} over {"25"} } } {}

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3 7 2 1 9 2 size 12{ left ( { {3} over {7} } right ) rSup { size 8{2} } cdot left ( { {1} over {9} } right ) rSup { size 8{2} } } {}

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For the following problems, find each value. Reduce answers to lowest terms or convert to mixed numbers.

4 9 size 12{ sqrt { { {4} over {9} } } } {}

2 3 size 12{ { {2} over {3} } } {}

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16 25 size 12{ sqrt { { {"16"} over {"25"} } } } {}

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81 121 size 12{ sqrt { { {"81"} over {"121"} } } } {}

9 11 size 12{ { {9} over {"11"} } } {}

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36 49 size 12{ sqrt { { {"36"} over {"49"} } } } {}

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144 25 size 12{ sqrt { { {"144"} over {"25"} } } } {}

12 5 = 2 2 5 size 12{ { {"12"} over {5} } =2 { {2} over {5} } } {}

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2 3 9 16 size 12{ { {2} over {3} } cdot sqrt { { {9} over {"16"} } } } {}

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3 5 25 81 size 12{ { {3} over {5} } cdot sqrt { { {"25"} over {"81"} } } } {}

1 3 size 12{ { {1} over {3} } } {}

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8 5 2 25 64 size 12{ left ( { {8} over {5} } right ) rSup { size 8{2} } cdot sqrt { { {"25"} over {"64"} } } } {}

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1 3 4 2 4 49 size 12{ left (1 { {3} over {4} } right ) rSup { size 8{2} } cdot sqrt { { {4} over {"49"} } } } {}

7 8 size 12{ { {7} over {8} } } {}

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2 2 3 2 36 49 64 81 size 12{ left (2 { {2} over {3} } right ) rSup { size 8{2} } cdot sqrt { { {"36"} over {"49"} } } cdot sqrt { { {"64"} over {"81"} } } } {}

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Exercises for review

( [link] ) How many thousands in 342,810?

2

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( [link] ) Find the sum of 22, 42, and 101.

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( [link] ) Is 634,281 divisible by 3?

yes

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( [link] ) Is the whole number 51 prime or composite?

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( [link] ) Reduce 36 150 size 12{ { {"36"} over {"150"} } } {} to lowest terms.

6 25 size 12{ { {6} over {"25"} } } {}

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Questions & Answers

A golfer on a fairway is 70 m away from the green, which sits below the level of the fairway by 20 m. If the golfer hits the ball at an angle of 40° with an initial speed of 20 m/s, how close to the green does she come?
Aislinn Reply
cm
tijani
what is titration
John Reply
what is physics
Siyaka Reply
A mouse of mass 200 g falls 100 m down a vertical mine shaft and lands at the bottom with a speed of 8.0 m/s. During its fall, how much work is done on the mouse by air resistance
Jude Reply
Can you compute that for me. Ty
Jude
what is the dimension formula of energy?
David Reply
what is viscosity?
David
what is inorganic
emma Reply
what is chemistry
Youesf Reply
what is inorganic
emma
Chemistry is a branch of science that deals with the study of matter,it composition,it structure and the changes it undergoes
Adjei
please, I'm a physics student and I need help in physics
Adjanou
chemistry could also be understood like the sexual attraction/repulsion of the male and female elements. the reaction varies depending on the energy differences of each given gender. + masculine -female.
Pedro
A ball is thrown straight up.it passes a 2.0m high window 7.50 m off the ground on it path up and takes 1.30 s to go past the window.what was the ball initial velocity
Krampah Reply
2. A sled plus passenger with total mass 50 kg is pulled 20 m across the snow (0.20) at constant velocity by a force directed 25° above the horizontal. Calculate (a) the work of the applied force, (b) the work of friction, and (c) the total work.
Sahid Reply
you have been hired as an espert witness in a court case involving an automobile accident. the accident involved car A of mass 1500kg which crashed into stationary car B of mass 1100kg. the driver of car A applied his brakes 15 m before he skidded and crashed into car B. after the collision, car A s
Samuel Reply
can someone explain to me, an ignorant high school student, why the trend of the graph doesn't follow the fact that the higher frequency a sound wave is, the more power it is, hence, making me think the phons output would follow this general trend?
Joseph Reply
Nevermind i just realied that the graph is the phons output for a person with normal hearing and not just the phons output of the sound waves power, I should read the entire thing next time
Joseph
Follow up question, does anyone know where I can find a graph that accuretly depicts the actual relative "power" output of sound over its frequency instead of just humans hearing
Joseph
"Generation of electrical energy from sound energy | IEEE Conference Publication | IEEE Xplore" ***ieeexplore.ieee.org/document/7150687?reload=true
Ryan
what's motion
Maurice Reply
what are the types of wave
Maurice
answer
Magreth
progressive wave
Magreth
hello friend how are you
Muhammad Reply
fine, how about you?
Mohammed
hi
Mujahid
A string is 3.00 m long with a mass of 5.00 g. The string is held taut with a tension of 500.00 N applied to the string. A pulse is sent down the string. How long does it take the pulse to travel the 3.00 m of the string?
yasuo Reply
Who can show me the full solution in this problem?
Reofrir Reply
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Source:  OpenStax, Fundamentals of mathematics. OpenStax CNX. Aug 18, 2010 Download for free at http://cnx.org/content/col10615/1.4
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