5.7 times -4.2. step by step

The true solution of the logarithmic equation [tex]\ln e^{\ln x} + \ln e^{\ln x^2} = 2\ln 8[/tex] will be 4.

Logarithms are another way of writing exponent. A logarithm with a number base is equal to the other number. It is just the opposite of the exponent function.

The logarithmic equation is given as

[tex]\ln e^{\ln x} + \ln e^{\ln x^2} = 2\ln 8[/tex]

We know that the formula

[tex]\ln e = 1\\\\\ln b^a = a \ln b\\\\\ln a + \ln b= \ln a +b[/tex]

Then we have

[tex]\begin{aligned} \ln x \times \ln e + \ln x^2 \times \ln e = \ln 8^2\\\\\ln x + \ln x^2 = \ln 64\\\\\ln x*x^2 = \ln 64 \end{aligned}[/tex]

Then take antilog, then we get

[tex]\rm x^3 = 64\\\\x^3 = 4^3 \\\\x \ =4[/tex]

More about the logarithm link is given below.

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Answer:

b, x=4

Step-by-step explanation:

edge 2022

The difference is StartFraction x squared + 3 x minus 12 Over (x + 3) (x minus 5) (x + 7) EndFraction.

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

The given expression is

[tex]\frac{x}{x^{2} -2x-15} -\frac{4}{x^{2} +2x-35}[/tex]

[tex]\frac{x}{x^{2} -5x+3x-15} -\frac{4}{x^{2} +7x-5x-35}\\\frac{x}{(x-5)(x+3)} -\frac{4}{(x-5)(x+7)}[/tex]

by Taking LCM

[tex]\frac{x(x+7)-4(x+3)}{(x-5)(x+3)(x+7)} \\[/tex]

[tex]\frac{x^{2} +3x -12}{(x-5)(x+3)(x+7)} \\[/tex]

Learn more about a quadratic equation;

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Answer: The correct answer is D on edge

Step-by-step explanation:

got it right on the pretest

Answer:

3 times

Step-by-step explanation:

divide both numbers Which will give you 3

Answer:

5 more points

Step-by-step explanation:

To find the ppg of the first 12 games you do 24/12

for the 16 games: 112/16

24/12=2

112/16=7

7-2=5

Answer:

5 units down, two to the left. Therefore, x+-2, y+-5

Step-by-step explanation:

The group of individuals would be the best choice for a random sample is to ask every fourth person who is wearing that brand of sneaker.

We have,

A market research company wants to collect opinions on the comfort and performance of a new type of sneaker by brand x.

We have to determine which group of individuals would be the best choice for a random sample.

A simple random sample is a subset of a statistical population in which each member of the subset has an equal probability of being chosen

One of the best methods in random sampling is called quartering.

In quartering, the population is divided into 4 quadrants and the

the sample is obtained on one of the quadrants obtained.

In this case, the procedure to do is:

To ask every fourth person who is wearing that brand of sneaker.

Therefore option A is correct.

To learn more about the sampling visit:

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Answer:

It's b

Step-by-step explanation:

Took it on edge 2022

Step-by-step explanation:

1.

the indicated point in the middle is the center point of the circle.

the line perpendicular to a chord going through that center solid the chord in half.

so,

x = 9

2.

Pythagoras

c² = a² + b²

13.5² = x² + 10.4²

182.25 = x² + 108.16

x² = 74.09

x = 8.607554821...

3.

Intersecting Chords Theorem

(part one of chord 1)×(part two of chord 1) =

= (part one of chord 2)×(part two of chord 2)

6x = 10×9 = 90

x = 90/6 = 30/2 = 15

4.

Intersecting Chords Theorem again

x(x+3) = 4×10 = 40

x² + 3x = 40

x² + 3x - 40 = 0

generation solution to a quadratic equation

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = 3

c = -40

x = (-3 ± sqrt(3² - 4×1×-40))/(2×1) =

= (-3 ± sqrt(9 + 160))/2 = (-3 ± sqrt(169))/2 =

= (-3 ± 13)/2

x1 = (-3 + 13)/2 = 10/2 = 5

x2 = (-3 - 13)/2 = -16/2 = -8

negative values for a length do not make sense, so x = 5 is our solution

5.

Intersecting Chords Theorem

(x+1)×4 = (x-1)×5

4x + 4 = 5x - 5

9 = x

Answer:

The table represents a nonlinear function.

Step-by-step explanation:

A linear function has a constant rate of change. However, the y values in the table do not have a constant rate of change. 4pi - pi = 3 pi, 9pi - 4pi = 5pi and so on. The values change each time, so it is a nonlinear function.

This is the answer that I got, hopefully I am correct on this one.

Answer:

ummm sorrry , can you give a btter stable question?

Step-by-step explanation:

Answer:

78125

Step-by-step explanation:

Answer:

324/x

khan let me know

Answer:

1/12

Step-by-step explanation:

The probality of getting a 3 on a die is ⅙ since they is only one 3 on the 6 sided die. So that will mean there is a 1 in 6 chance to get a 3.

Then the probability of getting tails on a coin is ½ because a coin on has 2 sides.

The probability of getting the 3 on the die and a tail on a coin will be the probability of getting the 3 on the die times the probability of getting the tails on the coin.

⅙×½=1/12

Answer:

The fundamental counting principle states that if there are p ways to do one thing, and q ways to do another thing, then there are p×q ways to do both things. possible outcomes of the experiment. The counting principle can be extended to situations where you have more than 2 choices.

Step-by-step explanation:

Answer:

Not a function.

Explanation:

x² + y² = 1 is not a function.

Here's the breakdown!

Looking at the type of equation, It is a circle equation.

In a circle equation, y value is not completely determined by the x value.

Shown:

There are multiple values of x for each value of y

Answer:

A function can be described as one-to-one or many-to-one, i.e. each value in the domain ([tex]x[/tex]-values) is mapped to a single value in f(x).

An example of a one-to-one function is a linear function.  For every value of x there is one value of y.

An example of a many-to-one function is a quadratic function, where 2 different x-values map to one y-value.

[tex]x^2+y^2=1[/tex] is not a function as some values of [tex]x[/tex] are mapped to two different values of f(x).

For example, let x = 0.5

[tex]\implies (0.5)^2+y^2=1[/tex]

[tex]\implies y^2=0.75[/tex]

[tex]\implies y=\pm\sqrt{0.75}[/tex]

So as x = 0.5 maps to √0.75 and -√0.75, it is one-to-many, and is therefore not a function.

The correct steps to transform x² + 10x + 24 = 0 into the form (x − p)² = q is

d.

Step 1: x² + 10x + 24 + 1 = 0 + 1

Step 2: x² + 10x + 25 = 1

Step 3: (x + 5)² = 1

To transform x² + 10x + 24 = 0 into the form (x − p)² = q where [p and q are integers], we perform the following steps of transformation.

This is process of converting one expression to the other by performing some mathematical operations.

x² + 10x + 24 = 0

We add 1 to both sides.So,

Step 1: x² + 10x + 24 + 1 = 0 + 1

Thus, we have

Step 2: x² + 10x + 25 = 1

Since the left-hand-side x² + 10x + 25 = (x + 5)²

So, we have

x² + 10x + 25 = 1

Step 3: (x + 5)² = 1

So, the correct steps to transform x² + 10x + 24 = 0 into the form (x − p)² = q is

d.

Step 1: x² + 10x + 24 + 1 = 0 + 1

Step 2: x² + 10x + 25 = 1

Step 3: (x + 5)² = 1

Learn more about transformation here:

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Answer: d-b

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

6% of 250 = 15 = 250 * 0.06

30% of 250 = 75 = 250 * 0.7

75-15=60

Answer:

60

Step-by-step explanation:

Answer:

108,5,43,63

Step-by-step explanation:

108,5,43,63,_,_,_,_,108,5,43,63

groups of 4

Answer:

h=9

Step-by-step explanation:

I did this one and it was right for pre- algebra,

Answer:

Step-by-step explanation:

      =2(5)^2 - 5(7)

      = 2(25) - 35

      = 50 - 35

      = 15

Answer:

5tv. 9. v. 9. 9. o. o. o o. o. 9.

Answer: The circle's circumfrence is 18.84

Step-by-step explanation:

When you are finding the circumference of a circle you use the formula

[tex]C=2\pi r[/tex]

[tex]C=2*3.14*3[/tex]

[tex]C=18.84[/tex]

Answer:

52.98

Step-by-step explanation:

See attached image to find radius

diamater = Radius * 2

26.49 Yards * 2 = 52.98

Answer

23

Step-by-step explanation

16/9=width/height

20 is the width of the computer monitor so you would put width as 20

20/x then you would cross multiply to find the height which is x.

20 x 9=180

Then you would divide 180 by 16.

180/16=11.25

So now you have the width and the height 20/11.25=width/height

Then you do the pythagorean theorem a^2+b^2=c^2=20^2+11.25^2=526.5.6^2.Then you would round you answer to get 526.6 Then you would find the square root of 526.6 which is 22.9. Then you would round the answer to get 23.

Answer:

The Circumference is 150.7 inches

Step-by-step explanation:

The cricumference of a circle is given by the formula:

[tex]C = 2\pi r[/tex]

We are given the radius and are given 3.14 for pi.

Substituting these values into the euation gives us:

C = 2(3.14)(24)

C = (6.28)×(24) = 150.72

The Circumference is 150.7 inches to the nearest tenth.

Answer: y + [tex]\frac{12}{7}[/tex]x = -[tex]\frac{16}{7}[/tex]

Step-by-step explanation:

    Standard form is Ay + Bx = C,

Given:

y+4=-12/7(x-1)

Rewrite:

y + 4 = [tex]\frac{-12}{7}[/tex](x - 1)

Distribute:

y + 4 = [tex]\frac{-12}{7}[/tex]x  + [tex]\frac{12}{7}[/tex]

Subtract 4 from both sides:

y =  [tex]\frac{-12}{7}[/tex]x  + [tex]\frac{12}{7}[/tex] - 4

Add  [tex]\frac{12}{7}[/tex]x to both sides:

y + [tex]\frac{12}{7}[/tex]x = + [tex]\frac{12}{7}[/tex] - 4

Combine like terms:

y + [tex]\frac{12}{7}[/tex]x = -[tex]\frac{16}{7}[/tex]

Answer:

  10 units wide; 24 units long

Step-by-step explanation:

The width is represented by the variable w in the given equation ...

  w(2w +4) = 240

__

This is conveniently divided by 2. Writing in standard form lets us see potential factoring.

  w(w +2) = 120

  w² +2w -120 = 0

  (w +12)(w -10) = 0 . . . . . . factor

  w = -12  or  w = 10 . . . . . width

  2w+4 = 2(10) +4 = 24 . . . length

The positive solution to this equation is the one of interest here.

The width of the rectangle is 10 units; its length is 24 units.

Answer:

23

Step-by-step explanation:

[tex]16 + \frac{56}{n} [/tex]

[tex]where \: n = 8[/tex]

[tex]16 + \frac{56}{8} [/tex]

[tex]23[/tex]

[tex]56 / 8 = 7[/tex]

[tex]7 + 16 = 23[/tex]

With that information, your answer is twenty-three.