All categories

3 years ago

Please i need to know if im correct with these questions

Mathematics

1 answer:

telo118 [61]3 years ago

6 0

Answer: No Solution

Step-by-step explanation:

ln x - ln (x + 2) = 4 restrictions: x > 0 and x + 2 > 0 → x > 0

ln $(\frac{x}{x + 2})$ = 4

$(\frac{x}{x + 2})$ = e⁴

x = e⁴ (x + 2)

x = 54.5982 (x + 2)

x = 54.5982x + 109.1964

- 53.5982x = 109.1964

x = $\frac{109.1964}{-53.5982}$

x = -2.0373

-2.0373 is not greater than 0 so is not valid

**************************************************************************

Answer: 2.1972

Step-by-step explanation:

eˣ = 9

ln eˣ = ln 9

x = ln 9

x ≈ 2.1972

**************************************************************************

Answer: $\frac{3}{2}$

Step-by-step explanation:

log₂ (3x - 4) = -1

3x - 4 = 2⁻¹

3x - 4 = $\frac{1}{2}$

+4 +4

3x = $4\frac{1}{2}$

3x = $\frac{9}{2}$

$\frac{3x}{3} = \frac{9}{2} * \frac{1}{3}$

x = $\frac{3}{2}$

**************************************************************************

Answer: 1.117519

Step-by-step explanation:

in the calculator, type in 1 ÷ 9.

Then hit the eˣ button.

e¹⁾⁹

= e°¹¹¹¹¹¹

= 1.117519

rounded to 6 decimal places: 1.117519

You might be interested in

Quadrilateral ABCD is dilated by a scale factor of 2 centered around (2, 2). Which statement is true about the dilation?

arsen [322]

Answer:

Option (B) is true i.e segment B'D' will run through (2,2) and will be longer than the segment BD.

Step-by-step explanation:

As the assumption quadrilateral ABCD is shown in figure a.

First located the center of the dilation which is located at (2,2) as shown in figure b.

The next thing we want to do is to determine the distance of the center of dilation to each of the points of quadrilateral ABCD as shown in figure b.

Let’s just start with the distance from the center to the point A, but notice we don’t have to move up and down in y direction. So, what we have to do is to increase this by the factor 2. Because this horizontal distance is 1 i.e. the distance from dilation center (2,2) to point A, we just have to multiply by 2 which would be a distance of 2 and this point right here will be the new location of point A’ (0,2).

And the distance from the center to the point C is the horizontal distance of 2 i.e. the distance from dilation center (2,2) to point C, we just have to multiply by 2 which would be a distance of 4 and this point right here will be the new location of point C’ (6,2).

And the distance from the center to the point B is the upward vertical distance of 1 i.e. the distance from dilation center (2,2) to point B, we just have to multiply by 2 which would be a vertical distance of 2 and this point right here will be the location of point B’ (2,4).

And similarly the distance from the center to the point D is the downward vertical distance of 1 i.e. the distance from dilation center (2,2) to point D, we just have to multiply by 2 which would be a vertical distance of 2 and this point right here will be the location of point D’ (2,0).

So, Quadrilateral A'B'C'D' is dilated by a scale factor of 2 centered around (2, 2).

Just notice in figure b that the segment B'D' will run through (2,2) and will be longer than the segment BD.

So,option (B) is true i.e segment B'D' will run through (2,2) and will be longer than the segment BD.

Learn more about dilation from brainly.com/question/12528454

#learnwithBrainly

3 0

3 years ago

Read 2 more answers

Which equation represents the following word sentence? Five more than three times x is twenty. 5x + 3 = 20 3x + 5 +20 3(x + 5) =

vitfil [10]

So five plus three times x equals twenty because five is alone and you’re adding three times x and is represents the equal sign and twenty is alone. So the equation is this 5 + 3x = 20

6 0

3 years ago

Find the greatest common factor. 8j, 6j

VLD [36.1K]

Answer:

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

This is the easiest question

Arturiano [62]

Answer: $3\dfrac{2}{6}\ h$

Step-by-step explanation:

Given

Rami practices his saxophone for $\frac{5}{6}$ hour on 4 day each week

So, for a week she practices around

$\Rightarrow \dfrac{5}{6}\times 4\\\\\Rightarrow \dfrac{20}{6}$

Converting it into mixed fraction

$\Rightarrow \dfrac{20}{6}=\dfrac{18+2}{6}\\\\\Rightarrow 3\dfrac{2}{6}\ h$

5 0

2 years ago

How to find the area of a triangle with a base of 32ft

Sergeu [11.5K]

Well to find the area of any figure you must first have knowledge on the formula. The formula for a triangle is 1/2 x b x h. Since you have the base 32, multiply that by 1/2 which will give you 16. Then you have to multiply 16 by the height. I'm not sure what the height is because you never gave me one but hopefully this helped! God bless :)

4 0

3 years ago