Solve: 2 In 3 = In(x-4)

9514 1404 393

Answer:

  {∛2e^(iπ), ∛2·e^(iπ/3), ∛2·e^(-iπ/3)}

Step-by-step explanation:

  [tex]\displaystyle \sqrt[3]{z}=(2e^{i\pi})^{\frac{1}{3}}=(2e^{i(2n+1)\pi})^{\frac{1}{3}}=\sqrt[3]{2}\cdot e^{i(2n+1)\pi/3}\quad\text{for $n=\{-1,0,1\}$}\\\\=\{\sqrt[3]{2}\cdot e^{-i\pi/3},\sqrt[3]{2}\cdot e^{i\pi/3},\sqrt[3]{2}\cdot e^{i\pi}\}[/tex]

__

Additional comment

z = -2. ∛z will be three points in the complex plane on a circle of radius ∛2 at angles ±π/3 and π radians (±60° and 180°). That is, the real cube root of -2 is -∛2.

Answer:

11/3

Step-by-step explanation:

-12/3 = -4

-4 + x = -1/3

X = -1/3 + 4

X = (-1+12)/3 = 11/3

11/3 + -12/3 = -1/3

9514 1404 393

Answer:

  $1006

Step-by-step explanation:

Julie will owe the difference between the total cost and the amount she has paid:

  ($1390 +90 +95) -569 = $1006 . . . . amount Julie owes

Answer:

49 < 52

Step-by-step explanation:

3½ + 4⅔ = 52

convert the mixed fraction to improper fraction

7/2 + 14/3 = 52 LCM=6

multiply yhrough by the LCM

(7/2)*6 +(14/3)*6 = 52

21 + 28 = 52

49 < 52

9514 1404 393

Answer:

  3 1/30

Step-by-step explanation:

Maybe you want to find ...

  [tex]\dfrac{3\frac{1}{2}}{5}+\dfrac{4\frac{2}{3}}{2}=\dfrac{7}{2\cdot5}+\dfrac{14}{3\cdot2}\\\\=\dfrac{7\cdot3}{2\cdot3\cdot5}+\dfrac{14\cdot5}{2\cdot3\cdot5}=\dfrac{21+70}{30}=\dfrac{91}{30}=\boxed{3\frac{1}{30}}[/tex]

Option B. 12.9 cm²

Solution

h =Sin(40)*8

S = h*5/2 = 12.85>>12.9 cm2

The area of ​​a triangle can be calculated from the base and height of the triangle. The basic formula for calculating the area is the area of ​​the triangle = 1/2 (base x height). In other scenarios, if you know the other parameters, use the following formula to find the area of ​​the triangle.

The area of ​​a triangle is the space surrounded by the three sides of the triangle. It is calculated using various formulas depending on the type of triangle and is expressed in squares such as cm2 and inches2.

Learn more about  triangle at

https://brainly.com/question/17335144

#SPJ2

Answer:

-1, 0, 1, 2, 3

Step-by-step explanation:

Los números son mayores a medida que se mueven hacia la izquierda de la recta numérica, por lo que retrocederá desde -2

Answer:

6

Step-by-step explanation:

If you mean 0-(-6) that's mean 0+6 and the answer will be 6

and if you mean 6-(-0) it's also 6

Answer:

[tex]2 \times x = \frac{3}{4} \\ \\ 2x = \frac{3}{4} [/tex]

divide either sides by 2 :

[tex]x = \frac{3}{4} \div 2 \\ \\ x = \frac{3}{4 \times 2} \\ \\ { \boxed{ \boxed{x = \frac{3}{8} }}}[/tex]

Answer:

Step-by-step explanation:

Answer:

add 2, add 3, add 4, add 5

Step-by-step explanation:

1+*2=3,3+*3=6,6+*4=10,10+*5=15

Answer:

First of all, this equation is defined on ]3,+∞[ because you need x+3>0 and x−3>0 at the same time or the log won't be defined.

The log function maps a sum into a product, hence log(x+3)+log(x−3)=27⇔log[(x+3)(x−3)]=log27.

You now apply the exponential function on both sides of the equation : log[(x+3)(x−3)]=log27⇔(x+3)(x−3)=27⇔x2−9=27⇔x2−36=30. This is a quadratic equation that has 2 real roots because Δ=−4⋅(−36)=144>0

You know apply the quadratic formula x=−b±√Δ2a with a=1 and b=0, hence the 2 solutions of this equation : x=±6

−6∉]3,+∞[ so we can't keep this one. The only solution is x=6.

Step-by-step explanation:

I THINK IT HELP U

Answer:

TEXT your teacher

Step-by-step explanation:

Answer:

C. 45%

Step-by-step explanation:

Divide 36 by 80 to get 0.45 (45%)

Answer:

[tex]D = \frac{2}{3} (F+ G) \\ F + G = D \div \frac{2}{3} \\ \\ F+ G = D \times \frac{3}{2} \\ \\ F +G = \frac{3D}{2} \\ \\ G = \frac{3D}{2} - F[/tex]

I hope I helped you^_^

Answer:

S.P = 225

Explanation:

Cost Price = 20 copies for Rs. 25

Selling price = 20 copies for ?  

Profit = Rs. 200

Profit = S.P -C.P

Profit + C.P = S.P

200 + 25 = S.P

225 = S.P

Answer:

C!

Step-by-step explanation:

A) can be simplified into -> (x ([tex]\sqrt{3}[/tex] * x - 3*[tex]\sqrt{3y}[/tex])/3)

B) Can be simplified into ([tex]\sqrt{2x}[/tex]/2) + ([tex]\sqrt{2z}[/tex]/2)

D) Can be simplified into 5*[tex]\sqrt{5x}[/tex] - x^2

Therefore, C is the correct answer because it cannot be simplified any further!

Hope this makes sense!!!!

Please give brainliest answer! I wasited for you to delete the answer!

Answer:

-29

Step-by-step explanation:

(-14) + (-15) =

-14 - 15 =

-29

John may cover 2.2 miles on day 6.

The correct answer is option (D)

"It is a pictorial representation of data in an organized manner. "

For given question,

The distance that John covers each day during his morning walks is given in the graph.

From the graph we can observe that the highest value on the graph is 4.

Also the data is symmetrical on the left side and on the right side of the highest value.

We need to predict the distance that John may cover on day 6.

It must be the same as it is at day = 0

At day = 0, the distance is 2.2 miles.

Therefore, John may cover 2.2 miles on day 6.

The correct answer is option (D)

Learn more about prediction from the graph here:

https://brainly.com/question/27021739

#SPJ2

Answer: x = 8

Step-by-step explanation:

Given

(1/3) (3x + 6) + 2x = 26

Expand parentheses and apply the distributive property

(1/3) · 3x + (1/3) · 6 + 2x = 26

x + 2 + 2x = 26

Combine like terms

(x + 2x) + 2 = 26

3x + 2 = 26

Subtract 2 on both sides

3x + 2 - 2 = 26 - 2

3x = 24

Divide 3 on both sides

3x / 3 = 24 / 3

[tex]\boxed{x=8}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

No

Step-by-step explanation:

The level of measurement that is most appropriate for the temperatures of eight different plastic spheres is the interval scale.

An interval scale shows magnitude and order. It shows numerical difference between values on same scale which are distinguished and are equal.

One common property of the interval scale is that it has an arbitrary zero point which is perfectly exhibited by the temperature measurement. This implies that the scale of measurement has no zero point because zero on the Centigrade scale is 32 degrees on the Fahrenheit scale.

Therefore, temperature measurement of eight different spheres can be regarded as an interval scale.

Learn more about interval scale here:

https://brainly.com/question/24260284

Answer:

Step-by-step explanation:

first one: 1/4

second one: 1/4

last one: 1/4

8 divided by 2=4 and 4 becmes the denominator

the answer is basicallly 1/4

What grade is this btw

Answer:

D. The graph of h is the graph of g vertically shifted down 5 units.

Step-by-step explanation:

I assume

g(x) = x²

h(x) = g(x) - 5 = x² - 5

The end of his round on Saturday was a -5, and the end of his round on Sunday was a 0.

Answer:

I guess it would help you ✌

Answer:762 cm

Step-by-step explanation:

There is 2.54cm in an inch so multiply it by 300

Answer:

Step-by-step explanation:

n = 38

a38 = 21 + (38 - 1)*45

a38 = 21 + 37*45

a38 = 21 + 1665

a38 = 1686

Answer:

The quotient is 2

I don't think this needs solution

Answer:

the quotient is 2

Step-by-step explanation:

1/2÷1/4

1/2×4/1

=2

Answer:

9

Step-by-step explanation:

The trinomial square have the following form:

(a - b)²

Expanding this, the result is:

a² -2ab +b²

So, let's put x in place of a and solve it:

x² -2•x•b + b²

Now, we know that initially -2•x•b was -6x in the given trinomial square, so let's find the value of b using an equation:

-2x•b = -6x divide both sides by -2x:

b = -3

So -3 complete our trinomial square, and it is:

(x -3)²

Expanding:

x² -6x +9

Answer:

step by step

take v to divide

r=h/v