What is the value of x in the equation ln (x + 6) – ln (2x – 1) = 1?-0.21

0.74

1.35

1.97

Answers

Answer 1

Answer:

The natural logarithm or log of a number is defined as its logarithm to the base of the mathematical constant e. The value of x is 1.97.

What is a Natural log?

The natural logarithm or log of a number is defined as its logarithm to the base of the mathematical constant e, which is an irrational and transcendental number approximately equal to 2.718281828459.

The value of x in the equation,

ln(x+6) – ln(2x–1) = 1

$\ln((x+6)/(2x-1)) = 1\n\n(x+6)/(2x-1) = e^1\n\n(x+6)/(2x-1) = 2.72\n\n$

x+6 = 2.72(2x-1)

x+6 = 5.44x -2.72

6+2.72 = 5.44x- x

8.72 = 4.44x

x = 1.96396 ≈ 1.97

Hence, the value of x is 1.97.

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Answer 2

Answer: $ln(x + 6) - ln(2x - 1) = 1$
$ln((x + 6)/(2x - 1)) = 1$
$(x + 6)/(2x - 1) = e^(1)$
$(x + 6)/(2x - 1) \approx 2.72$
$2x - 1((x + 6)/(2x - 1)) = 2.72(2x - 1)$
$x + 6 = 2.72(2x) - 2.72(1)$
$x + 6 = 5.44x - 2.72$
$6 = 4.44x - 2.72$
$8.72 = 4.44x$
$(8.72)/(4.44) = (4.44x)/(-3.28)$
$1.97 \approx x$

The answer is D.

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Melinda, a carpet installer, brings 270 square feet of carpet padding on an installation job. After the job is finished, she has 1⁄5 of the carpet padding left over. How many square feet of carpet padding did Melinda use? A. 230
B. 54
C. 216
D. 244

Answers

A correct option is an option (B).

Given,

The total area of the carpet is 270 square feet.

Fraction:

it is also termed as a portion or section of any quantity. It is denoted by using the ‘/’ symbol, such as a/b. For example, 2/4 is a fraction where the upper part denotes the numerator and the lower part is the denominator. A fraction is a word that is originated from Latin. In Latin, “Fractus” means “broken”.

Now, $(1)/(5)$ of the carpet padding leftover.

So, $(1)/(5)$ of 270 square feet is,

$(1)/(5) *270=54$

So, 54 square feet is left.

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Answer:

c 216

Step-by-step explanation:

270 divide by 5 equals 54

54 times 5 equals 270

270 - 54 equals 216

Ms. White has 15 students in her first grade class. Troy is the line leader for the week, and Mackenzie is last because she was the line leader last week. In how many different ways can Ms. Whites class line up for lunch?A.) 13!
B.) 15!
C.) 15!÷2!

Answers

The first place and 15th place are already decided, so we have to find the number of different ways that the other 13 students can line up, in the places from 2 to 14.

2nd place can be any one of 13 people. For each of those . . .

3rd place can be any one of 12 people. For each of those . . .

4th place can be any one of 11 people. For each of those

13th place can be any one of 2 people. For each of those

14th place has to be the one student who is left.

Total number of ways that 13 students can line up in places 2 through 14 is

(13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1)

That number is called "thirteen factorial". The number is 6,227,020,800 .

When you write it in math, you write it like this:13

Answer:

13!

Step-by-step explanation:

Factor completely 9x2 − 25.

Answers

The required, 9x² - 25 can be factored completely as (3x + 5)(3x - 5).

To factor completely the expression 9x² - 25, we can use the difference of squares formula, which states that:

a² - b²= (a + b)(a - b)

In this case, we can recognize that 9x² is the square of 3x, and 25 is the square of 5. Applying the difference of squares formula, we have:

9x² - 25 = (3x)²- 5²

Using the formula, we can factor it as:

(3x + 5)(3x - 5)

Therefore, 9x² - 25 can be factored completely as (3x + 5)(3x - 5).

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This is difference of 2 squares.

Take the square root of 9 and 25

(3x + 5) (3x - 5)

For the function y = x + 9, what is the output value if 4 is the input value? y = 5
y = 13
y = 36
y = 49

Answers

y = 13.

Explanation
Replacing the value x with 4 in the function gives that y= 4+9
y= 13

-2x - 35 = 9 - 4x answers

Answers

the answer is x=22 !!!

Answer:

Step-by-step explanation:

add 35 to the other side (to cancel out the negative) then you have 44, then add 4x to the other side so you have 2x then divide both sides by 2. x=22

A sample is representative of a population true or false