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3 years ago

What is the solution of in(x-2)^2=6

Mathematics

1 answer:

Novosadov [1.4K]3 years ago

7 0

Answer:

22.09

Step-by-step explanation:

Given the expression ln(x-2)^2=6

Take exponent of both sides

e^ln(x-2)^2=e^6

(x-2)² = e^6

(x-2)² = 403.43

x - 2 = √403.43

x - 2= 20.09

x = 20.09 + 2

x = 22.09

Hence the value of x is 22.09

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A person places $848oo in an investment account earning an annual rate of 4.1%,

Lady bird [3.3K]

Answer:

I'm pretty sure it's 4 years it's what you think.

8 0

3 years ago

Here is a rectangle ABCD.

SCORPION-xisa [38]

Answer:

Step-by-step explanation:

Original perimeter is 100cm

The 20cm is representative of the width
30cm is representative of the length

length is increased by 10%

30+(.10 x 30)
(1 + .10) × 30
(100% + 10%) × 30
110% × 30
110 ÷ 100 × 30
110 × 30 ÷ 100
3,300 ÷ 100
= 33

length is increased by 5%

20 + (5% × 20) =
20 + 5% × 20 =
(1 + 5%) × 20 =
(100% + 5%) × 20 =
105% × 20 =
105 ÷ 100 × 20 =
105 × 20 ÷ 100 =
2,100 ÷ 100 =
= 21

New perimeter: 108 cm

Percentage increase:

(108-100):100*100 =
(108:100-1)*100 =
108-100 = 8
= 8%

Hopefully this helps

5 0

3 years ago

Ax+b=c for x how do I solve this can someone help explain it to me.

Dmitry [639]

Answer:

x= c - b / A

please look at the step by step explanation to better understand :)

Step-by-step explanation:

subtract b from the left side and right side

so you are left with Ax = c - b

divide what number c - b is by A

and you are left with x= c - b / A

5 0

4 years ago

Determine if the equations are parallel perpendicular or neither 10x-2y=16 and x+5y=-20

Inessa [10]

Answer:

perpendicular lines

Step-by-step explanation:

First, put both equations into slope-intercept form.

Lets start with 10x - 2y = 16

Remember that the slope intercept formula is y = mx + b

So, we must get y alone on one side.

First, subtract 10x from both sides

10x - 2y = 16

-2y = -10x + 16

Now, divide both sides by negative 2

y = 5x - 8

Now for our second equation.

First we must subtract x from both sides

x + 5y = -20

5y = -x - 20

Now, divide both sides by 5

y = -1/5x - 4

Now, both of our equations are in slope-intercept form

Here's how to determine if two equations are parallel or perpendicular

<em>Remember that the m in y = mx + b is our slope</em>

Parallel = same slope

Perpendicular = negative reciprocal slope

(ex: take the number 6 take the number -3

negative reciprocal = -1/6 negative reciprocal = 1/3)

If we look at the slopes in both of our equations, we see that there is a negative reciprocal slope (the slopes are 5 and -1/5)

So, these two lines are perpendicular. :)

3 0

3 years ago

Liz wants to find the quotient of 63 and 0.15. what is the first step she should take?

Veseljchak [2.6K]

$Question$

Liz wants to find the quotient of 63 and 0.15. what is the first step she should take?

Answer:

→(Well First 63 ÷ 0.15 = 420) ←

A: divide 63 and 0.15 by 10 Would be my Answer

To add two decimal numbers, first check if they have the same number of digits to the right of the decimal point. If they don't, add zeros to the right of one of the numbers until they do. Then, write one number on top of the other, lining up the decimal points vertically.

$xXxAnimexXx$

5 0

3 years ago