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OLEGan [10]
3 years ago
14

Solve the following absolute value equation. If needed, write your answer as a fraction reduced to lowest terms. Please explain

your answer |y−43|−|y−35| =0
Mathematics
1 answer:
Mashutka [201]3 years ago
8 0

Answer:

y = 39

Step-by-step explanation:

|y−43|−|y−35| =0

add |y−35| to each side

|y−43|= |y−35|

This tells us that y must be between 35 and 43

That means |y−35| is positive so we can remove the absolute value signs

|y−43|  is negative so we negate each term ( or multiply by -1)

-y+43 = y - 35

Add y to each side

y-y+43 = y+y-35

43 = 2y -35

Add 35 to each side

43+35 = 2y

78 = 2y

Divide by 2

78/2 = 2y/2

39 = y

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Step-by-step explanation:
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3 years ago
Alex needs to buy compressed air to fill empty cylindrical tanks for his tire store. Each tank is 12 feet deep and has a radius
agasfer [191]
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Formula
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Volume = πr²h

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Find Volume of one tank
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4 0
3 years ago
Finding the perimeter of each rectangle 96ft width 124ft length
dezoksy [38]

Answer:

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Step-by-step explanation:

Perimeter(p) of a rectangle is 2l + 2w

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5 0
2 years ago
A meteorologist who sampled 4 thunderstorms found that the average speed at which they traveled across a certain state was 16 mi
DENIUS [597]

Answer:

The  90 % confidence  interval  for the mean population is (11.176  ; 20.824 )

Rounding to at least two decimal places would give 11.18 , 20.83

Step-by-step explanation:

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standard deviation =s= 4.1 miles per hour

n= 4

\frac{s}{\sqrt n}  =  4.1/√4= 4.1/2= 2.05

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Putting values

16 ± 2.353 * 2.05

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The  90 % confidence  interval  for the mean population is (11.176  ; 20.824 )

Rounding to at least two decimal places would give 11.18 , 20.83

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