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

Answers

Answer 1

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


Related Questions

Please help me with this!!!!! I don't get it ​

Answers

Answer:

y = -1/7

Step-by-step explanation:

Mathematically, the distance between two points on a coordinate plane can be calculated using the formula;

d = √(x2-x1)^2 + (y2-y1)^2

for the first two points;

(5,y) and (1,4) ; we have

d = √(5-1)^2 + (y-4)^2

d = √(y-4)^2 + 16

For the other two;

(5,y) and (10,-3)

We have ;

d = √(5-10)^2 + (y + 3)^2

d = √(y+ 3)^2 + 25

from the question, these two distances are equal

all we have to do here is to equate the two distances

So we have it that;

(y-4)^2 + 16 = (y + 3)^2 + 25

y^2 -8y + 16 + 16 = y^2 + 6y + 9 + 25

-8y + 32 = 6y + 34

-8y -6y = 34-32

-14y = 2

y = -2/14

y = -1/7

What percent of Rs.400 is Rs. 20000?

Answers

Answer:

2%

Step-by-step explanation:

solve for x round to the nearest tenth if necessary

Answers

Answer:

22.68

Step-by-step explanation:

SOH (opp/hyp)

sin34 = 12/x

(x)sin34 = 12 - divide sin34 on both sides

x = 12/sin34

x = 22.68

What is the area of the shaded region? 2 cm 2cm
4cm 4cm

Answers

Answer:

12?

Step-by-step explanation:

4x4= 16(area)

2x2=4(area menor)

16-4= 12

Find the values of m and n.

Answers

Answer:

M = 36

N = 27

Step-by-step explanation:

Angles in a triangle equal 180

Angles on a straight line equal 180

If mKM = 112 degrees, find mLM.

Answers

Answer:

mLM is probably also 112˚

Or

(B) 112˚

Step-by-step explanation:

a survey of 100 high school students provided this frequency table on how students get to school: what is the probability that a randomly selected student either takes the bus or walks

Answers

Answer:

3/5

Step-by-step explanation:

;)

The probability that a randomly selected student either takes the bus or walks is 3/5.

What is the probability?

The probability formula defines the likelihood of the happening of an event. It is the ratio of favorable outcomes to the total favorable outcomes.

A survey of 100 high school students provided this frequency table on how students get to school:

The probability that a student selected is a senior student or one that drives to school.

From the table, the number of senior students is 25 + 20 + 5 = 50

So the probability of selecting a senior student is 50/100 = 1/2

Now the probability of selecting a student that drives to school.

The number of students that drive to school is 3 + 2 +5 = 10

So the probability of a student who drives to school is 10/100 = 1/10.

The probability that a randomly selected student either takes the bus or walks is;

[tex]=\dfrac{1}{2}+\dfrac{1}{10}\\\\= \dfrac{1 \times 5+1\times 1}{10}\\\\= \dfrac{1+5}{10}\\\\= \dfrac{6}{10}\\\\=\dfrac{3}{5}[/tex]

Hence. the probability that a randomly selected student either takes the bus or walks is 3/5.

Learn more about probability here;

https://brainly.com/question/16937234

#SPJ2

Which one of the following is a correct equation?

Answers

Answer:

B. cos 41° = [tex]\frac{x}{19}[/tex]

Step-by-step explanation:

cos of an angle is the adjacent side of the angle over the hypotenuse.

Answer:

Answer is a

[tex]{ \boxed{ \bf{ \cos( \theta) = \frac{adjacent}{hypotenuse} }}} \\ { \tt{ \cos(41 \degree) = \frac{x}{19} }} \\ \\ { \boxed{ \bf{ \sin( \theta) = \frac{opposite}{hypotenuse} }}} \\ { \tt{ \sin(41 \degree) = \frac{ - }{19} }}[/tex]

I need help to find the answer.

Answers

Area= 90+18=108(ft)

Lee will buy 3 notebooks for $1.29 each, 2 dozen pencils at $3.45 a dozen, and a box of pens for $14.85 a box. How much will Lee spend on his school supplies?

Answers

Answer:

Used another answer on Brainly

Step-by-step explanation:

If 3 notebooks are 1.29 each, that’s 3.87 on notebooks. two dozen pencils at 3.45 a dozen is 6.90. add 3.87, 6.90, and 14.85 for a total of $25.62.

If 3 notebooks are 1.29 each, that’s 3.87 on notebooks. two dozen pencils at 3.45 a dozen is 6.90. add 3.87, 6.90, and 14.85 for a total of $25.62.

Can someone help me !!

Answers

4,0,-4,first graph
-7 second graph(now put points in graph starting from x the horizontal axis then y the vertical axis

A function g is described below:
· g(2) = 2 ( 23 – 3) = 5
• domain is all real numbers greater than 0
The range of g is all real numbers greater than or equal to

Answers

Answer:

A≈1075.21

d Diameter

37

d

r

r

r

d

d

C

A

Using the formulas

A=

π

r

2

d=

2

r

Solving forA

A=

1

4

π

d

2

=

1

4

π

37

2

1075.21009

Step-by-step explanation:

Please help if you can!!!!

Answers

Answer:

about 22 square units

Step-by-step explanation:

sana makatulong

Answer:

C: About 22 square units

Step-by-step explanation:

YW

A circular track has a radius of 70cm. If an athlete runs around it twice, how far has he run?​

Answers

Answer:140 cm

Step-by-step explanation: If they ran twice: 70*2=140cm

The runner has ran 280m because we need to know the whole length and the radius is 70 so the diameter is 140 times 2 is 280

Solve the system.
x + y - z = 17
y +z = 1
z = -3

Answers

Answer:

(10, 4, -3)

Step-by-step explanation:

z = -3

y + z = 1

y - 3 = 1

y = 4

x + y - z = 17

x + 4 - -3 = 17

x + 4 + 3 = 17

x + 7 = 17

x = 10

(10, 4, -3)

Answer:

(10,4,-3)  

Step-by-step explanation:

(x,y,z)

z= -3 given

y+z = 1 (equation 2)

y-3 =1

y=4 (solve 2 after substation)

eq #1 : x + 4 - (-3) = 17

x+4+ 3 = 17

x+ 7 = 17

x=10

(10,4,-3)  

Help with this question, not sure what the answer is

Answers

The answer is B, you know the zeros or solutions are positive 3 and 7 means no that they will be negative in the equation. And the parabola isn’t stretched or compressed so it doesn’t have a leading coefficient. Hope that helps!

Answer:

3rd option

Step-by-step explanation:

The zeros ( where the graph crosses the x- axis ) are x = 3 and x = 7

The corresponding factors are then (x - 3) and (x - 7)

The equation is then

f(x) = a(x - 3)(x - 7) ← a is a multiplier

To find a substitute any point on the graph into the equation.

Using (8, 15 ) , then

15 = a(8 - 3)(8 - 7) = a(5)(1) = 5a ( divide both sides by 5 )

3 = a

Thus

f(x) = 3(x - 3)(x - 7)

There are 312 cards in 6 deck of playing cards write the ratio as a fraction them find the unit rate

Answers

Answer:

6x: 312

x: 52

Step-by-step explanation:

Let the deck be denoted by x then

6x:  312

There are 312 cards in 6x decks

In 1 deck x there are 312/6= 52 cards

6x: 312

6x/6: 312/6        Cancelling both sides by 6

x: 52

In ratio both the sides are divided by the same number to get equivalent fractions.

In 1 deck there are 52 cards

Can someone help plz

Answers

Answer:

Sr i dont know

Step-by-step explanation:

43. If L is the midpoint of KN an MP, which methods can be used to prove the triangles are congruent

Answers

Answer:

Step-by-step explanation:

Two triangles are said to be congruent if all their corresponding sides and corresponding angles are equal to each other.

Given that L is the midpoint of KN an MP, hence:

KL = LN; and ML = LN

Also, ∠KLM = ∠PLN (vertical opposite angles are congruent to each other)

Since ∠KLM = ∠PLN, KL = LN; and ML = LN, we can hence say that triangle KLM and triangle LNP are congruent triangles using Side-angle-side (SAS) triangle congruency theorem.

The SAS theorem states that if two sides and one included angle of one triangle is equal to two sides and an included angle of another triangle, then both triangle are congruent

Please help asap thanks

Answers

Shahs. Dickens icjcns a icjcns icjcns. Did d

Help me!! Please help me find the answer!!

Answers

Answer:

x = 42°

Step-by-step explanation:

You can mark the opposite angle from 96° as 96° and the 2 other unknowns as y.

96 • 2 + 2y = 360

168 = 2y

y = 84

x is half of y.

84 ÷ 2 = 42

Answer:

[tex]x=42^{o}[/tex]

Step-by-step explanation:

Area of a triangle is 180 degrees

Here both the triangles are same so, form an equation:

[tex]x+x+96=180[/tex]

[tex]2x+96=180[/tex]

[tex]2x=180-96[/tex]

[tex]2x=84[/tex]

[tex]x=84/2[/tex]

[tex]x=42^{o}[/tex]

Which of the following quadratic regression equations best fits the data
shown below?

Please help and thank you.

Answers

Answer:

"B" ... see the image...

Step-by-step explanation:

Are you supposed to do this by hand???

You can use desmos, excel etc. to calculate different regressions

Bobs hardware sells buckets in five different sizes. The tiny bucket holds 5 quarts, the small holds 10 quarts, the medium holds 20 quarts, and the large holds 40 quarts. How many quarts will the extra-large bucket hold?

Answers

Answer:

80

Step-by-step explanation:

you have to guess the pattern and it seems like each bucket's size is twice the previous one

tiny = 5

small = 10 (tiny * 2)

medium = 20 (small * 2)

large = 40 (medium * 2)

extra-large = 80 (large * 2)

would appreciate any help! ranking brainliest ofc

Answers

Answer:i believe its 64 but i do apoligize if im wrong

Step-by-step explanation:

If the entire school had 720 students can use this data to estimate how many of them would say that it takes them more than 10 minutes to get to school

Answers

Answer:

I don't know but this question feels incomplete

2. Alin ang mas mabigat, isang kilong pako o isang libong
gramo ng bigas?

Answers

Answer:

Isang Kilong Pako

Step-by-step explanation:

Ang pako po ay metal at ang bigas po ay grain lang kung ikukumpara mo sa isang butil ng bigas at pako, diba pako po ang mas mabigat, kung isang kilo pa po ehh mas mabigat na po iyon kaysa sa bigas.

Thank you Please mark as Brainliest :>

Interior and exterior triangle angles

Answers

Answer:

m<S = 38°

Step-by-step explanation:

Given:

m<R = (x + 17)°

m<S = (2x - 2)°

m<T = (5x + 5)°

Required:

m<S

Solution:

First, we will need to determine the value of x by creating an equation. Thus:

m<R + m<S + m<T = 180° (sum of triangle)

Plug in the values

(x + 17)° + (2x - 2)° + (5x + 5)° = 180°

x + 17 + 2x - 2 + 5x + 5 = 180

Add like terms

8x + 20 = 180

8x + 20 - 20 = 180 - 20

8x = 160

8x/8 = 160/8

x = 20

Find m<S:

m<S = 2x - 2

Plug in the value of x

m<S = 2(20) - 2 = 40 - 2

m<S = 38°

How is a counter-argument used in a persuasive research essay?
O A. As a claim that is capable of being supported by an example or
research data
O B. As an argument or point of view that has not yet been proven by
the author
O C. As an opportunity to respond to people who might disagree with
your claim
O D. As a supporting point that explains why a claim is true or should
be accepted

Answers

As an opportunity to respond to people who might disagree with your claim.

The correct answer is C

⚠️6TH GRADE MATH⚠️

Six percent of the sale price of a home
goes to the real estate agents as their
commission. The buyer's agent and
the seller's agent split the commission
evenly. How much commission does
each agent get when they complete
the sale of a $340,000 house?

Answers

Answer:

10200

Step-by-step explanation:

0.06*340,000=20400

20400÷2=10200

Find the average rate of change of f ( x ) = 3 x 2 − 9 on the interval [ 2 , b ] . Your answer will be an expression involving b

Answers

Answer:

[tex]m = 3b+6[/tex]

Step-by-step explanation:

Given

[tex]f(x)=3x^2 - 9[/tex]

Required

The average rate over [tex][2,b][/tex]

Average rate (m) is calculated using:

[tex]m = \frac{f(b) - f(a)}{b - a}[/tex]

Where

[tex][a,b] = [2,b][/tex]

So, we have:

[tex]m = \frac{f(b) - f(2)}{b - 2}[/tex]

Calculate f(b) and f(2)

[tex]f(x)=3x^2 - 9[/tex]

[tex]f(b)=3b^2 - 9[/tex]

[tex]f(2)=3*2^2 - 9 = 12 - 9 = 3[/tex]

So, we have:

[tex]m = \frac{f(b) - f(2)}{b - 2}[/tex]

[tex]m = \frac{3b^2 - 9 - 3}{b - 2}[/tex]

[tex]m = \frac{3b^2 - 12}{b - 2}[/tex]

Expand the numerator

[tex]m = \frac{3b^2 + 6b-6b-12}{b - 2}[/tex]

Factorize

[tex]m = \frac{b(3b + 6)-2(3b+6)}{b - 2}[/tex]

Factor out 3b + 6

[tex]m = \frac{(b -2)(3b+6)}{b - 2}[/tex]

Cancel out b - 2

[tex]m = 3b+6[/tex]

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