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3 years ago

What is the value of term a^4?

Mathematics

1 answer:

klasskru [66]3 years ago

8 0

Answer:

Step-by-step explanation:

$\text{We have the recursive formula of a series:}\\\\a_1=5\\a_n=3a_{n-1}\\\\a_2=3a_{2-1}=3a_1\to a_2=3(5)=15\\\\a_3=3a_{3-2}=3a_2\to a_3=3(15)=45\\\\a_4=3a_{4-1}=3a_3\to a_4=3(45)=135$

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Which pair of equations represents two perpendicular lines? answers shown in picture.

kolezko [41]

Answer:

y =1/2x+6

y = -2x+2

Step-by-step explanation:

Perpendicular line have slopes that multiply to -1

The slopes are negative reciprocals

-4*4 = 16 not perpendicular

1/2 * -2 = -1 perpendicular

1/5 *5 = 1 not perpendicular

2/3 * 2/3 = 4/9 not perpendicular

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3 years ago

What number added to heather equal 3 and multiply together to get -48

andrew-mc [135]

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If you multiply those 3, it equals -48. When you add them together, it's 3.

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4 years ago

The line of reflection is blank and the coordinates of C' are blank ?

denpristay [2]

Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

What is the standard deviation of the following data set rounded to the nearest tenth? 56 ,78 ,123 , 34, 67, 91, 20

quester [9]

Answer:

The standard deviation of the following data set is 32.2

Step-by-step explanation:

step 1

Find the mean

we have

$[56,78,123,34,67,9,20]$

Sum the data and divided by the number of elements

$[56+78+123+34+67+91+20]/7=469/7=67$

step 2

For each number: subtract the Mean and square the result

$[(56-67)^{2},(78-67)^{2},(123-67)^{2},(34-67)^{2},(67-67)^{2},(91-67)^{2},(20-67)^{2}]$

$[121,121,3,136,1,089,0,576,2,209]$

step 3

Work out the mean of those squared differences

$[121+121+3,136+1,089+0+576+2,209]/7=1,036$

This value is called the "Variance"

step 4

Take the square root of the variance

$standard\ deviation=\sqrt{1,036}=32.2$

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3 years ago