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Genrish500 [490]
3 years ago
12

Simplify to the extent possible (logx16)(log2x)

Mathematics
1 answer:
sasho [114]3 years ago
7 0

Answer:

{ \tt{ = ( log_{x}16)( log_{2}x) }}

Change base x to base 2:

{ \tt{ =  (\frac{ log_{2}16}{ log_{2}x } )( log_{2}x)}} \\  \\ { \tt{ =  log_{2}(16) }} \\  = { \tt{ log_{2}(2) }} {}^{4}  \\  = { \tt{4 log_{2}(2) }} \\  = { \tt{4}}

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Lucy draws a line on a coordinate plane. Which transformation will always result in a line perpendicular to Lucy’s line?
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The first question is c i believe, I dont have time to answer the others

8 0
3 years ago
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I need to know the whole thing please help
aleksley [76]

Answer:

a) A student travelling to school on public transport: 15/52 or 0.231

b) A student walking to school: 16/52 or 0.308

c) A student not cycling to school: 43/52 or 0.827

Step-by-step explanation:

Total people = 52

Travel Method          Frequency

Public Transport           12

Car                                 15

Cycle                               9

Walk                                16

Find the relative frequency of.

The formula used will be: Relative\:Frequency=\frac{Given\: Frequency}{Size\: of\: sample \:space}

a) A student travelling to school on public transport:

Given Frequency: 12

Size of sample space: 52

Apply formula: Relative\:Frequency=\frac{Given\: Frequency}{Size\: of\: sample \:space}

Fraction = 12/52

Decimal = 0.231

b) A student walking to school

Given Frequency: 16

Size of sample space. 52

Apply formula: Relative\:Frequency=\frac{Given\: Frequency}{Size\: of\: sample \:space}

Fraction = 16/52

Decimal = 0.308

c) A student not cycling to school.

We will consider all students except those who cycle.

12+15+16 = 43

Given Frequency: 43

Size of sample space. 52

Apply formula: Relative\:Frequency=\frac{Given\: Frequency}{Size\: of\: sample \:space}

Fraction = 43/52

Decimal = 0.827

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3 years ago
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Answer:

8

Step-by-step explanation:

When doing these types of problems, we convert the percent to a decimal. In this case,

40%=0.4

0.4*20=8

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2 years ago
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Just subtract 35,000 and 31,000 or 27,000 and 21,000 and get 4,000. Since the altitude is going down, it'll be negative.

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Solve for the missing side. Round to the nearest tenth.<br> 10<br> 50°<br> х
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Answer:

15.6

Step-by-step explanation:

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