solve for X


please answer will give brainliest!!!

Step-by-step explanation:

\(2 ln(3) = ln(x - 4) \)

For logarithms, this is a property

\( ln(x {}^{n} ) = n ln(x) \)

So we have

\( ln( {3}^{2} ) = ln(x - 4) \)

\( ln(9) = ln(x - 4) \)

If

\( ln(a) = ln(b) \)

a=b

So

\(9 = x - 4\)

\(13 = x\)

Answer:

24.5

Step-by-step explanation:

Answer:

y=2/3x+2

Step-by-step explanation:

8x-12y=-24

subtract 8x from both sides to come up with -12y=-8x-24

divide -12y by everything and get y=-8/-12x-24/-12

simplify and get y=2/3x+2

its all positive since a negative divided by another negative= a positive

Answer:

1,2,3 and 6 are similar triangles by AA similarity

Step-by-step explanation:

1) ∠DEC ≅ ∠FEG     {Vertically opposite angles}

DC //  GF

∠ECD ≅ ∠EGF     {Alternate interior angles}

∠EDC ≅ ∠EFG     {Alternate interior angles}

ΔDEC & ΔFEG are similar triangles by AA similarity

2)MN // QP

∠LQP ≅ ∠QMN   {Corresponding angles }

∠LPQ ≅ ∠PNM   {Corresponding angles}

ΔLQP & ΔLMN are similar triangles by AA similarity

3) In ΔSYE ,

∠S = 180 - 90 - 39

∠S = 51°

In ΔCHW,

∠H = 180 - 51 - 90

∠H = 39

ΔSYE and ΔCHW

∠S ≅ ∠W = 51°

∠Y ≅ ∠C = 90°

∠E ≅∠H = 39°

ΔSYE & ΔWCH are similar triangles by AA similarity

6) ∠P ≅ ∠Z      {Given}

∠PXQ ≅∠ZXY  {Vertically opposite angles}

ΔPXQ & ΔZXY are similar triangles by AA similarity

Answer:

DQ = \(\frac{5}{(2-\sqrt{x})(2-\sqrt{x+h})(\sqrt{x}-\sqrt{x+h})}\)

Step-by-step explanation:

Given function is f(x) = \(\frac{5}{2-\sqrt{x}}\)

f(x + h) = \(\frac{5}{2-\sqrt{x+h} }\)

Therefore, indicated difference quotient will be,

DQ = \(\frac{f(x+h)-f(x)}{h}\)

Now we substitute the values in the difference quotient,

DQ = \(\frac{\frac{5}{2-\sqrt{x+h} }-\frac{5}{2-\sqrt{x}}}{h}\)

      = \(\frac{5(2-\sqrt{x})-5(2-\sqrt{x+h})}{h(2-\sqrt{x})(2-\sqrt{x+h})}\)

      = \(\frac{10-5\sqrt{x}-10+5\sqrt{x+h}}{h(2-\sqrt{x})(2-\sqrt{x+h})}\)

      = \(\frac{-5\sqrt{x}+5\sqrt{x+h}}{h(2-\sqrt{x})(2-\sqrt{x+h})}\)

      = \(\frac{5(-\sqrt{x}+\sqrt{x+h})}{h(2-\sqrt{x})(2-\sqrt{x+h})}\)

      = \(\frac{5(-\sqrt{x}+\sqrt{x+h})(\sqrt{x}+\sqrt{x+h})}{h(2-\sqrt{x})(2-\sqrt{x+h})(\sqrt{x}+\sqrt{x+h})}\)

      = \(\frac{5[(x+h)-x]}{h(2-\sqrt{x})(2-\sqrt{x+h})(\sqrt{x}+\sqrt{x+h})}\)

      = \(\frac{5h}{h(2-\sqrt{x})(2-\sqrt{x+h})(\sqrt{x}+\sqrt{x+h})}\)

      = \(\frac{5}{(2-\sqrt{x})(2-\sqrt{x+h})(\sqrt{x}+\sqrt{x+h})}\)

Answer:

28

Step-by-step explanation:

10-38=28

$&#:÷&#&;#&$;'ebsjdkeowkdbs;#&$;'fbxjrbxjr

The specified scale factor of the dilation from S to M is 3/2 therefore, the scale factor of the dilation transformation from M to S is 2/3

A dilation is a transformation in which the lengths of the sides of the image are increased or decreased in the proportion, specified by a scale factor to the dimensions of the pre-image.

The specified scale factor from triangle S to triangle M = 3/2

3/2 = 1.5

Therefore, the length of the sides of triangle M are 1.5 times the lengths of the sides of triangle S

Let L represent the length of a side of triangle S, we get;

The length of the corresponding side on triangle M = 1.5 × L

The scale factor from triangle M to triangle S is found by taking the ratio of the corresponding sides of triangle S and M as follows;

Scale factor, SF, from M to S  = Length of a side on triangle S ÷ Length of the corresponding side on triangle

Therefore;

\(SF = \dfrac{L}{1.5\cdot L} = \dfrac{1}{1.5}\)

1.5 = 3/2, therefore;

\(SF = \dfrac{1}{1.5} = \dfrac{1}{\frac{3}{2} } =\dfrac{2}{3}\)

Therefore, the scale factor from M to S is 2/3

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Answer:

  substitution property

Step-by-step explanation:

When you replace m∠A in the second equation with its equal, as defined by the first equation, you are making use of the substitution property.

That property says you can replace anything by its equal.

Answer:

subsitution

Step-by-step explanation:

i jus took the quiz

Answer:

345/5=69

Step-by-step explanation:

345/5=69

355/5=71

Answer:

-134

Step-by-step explanation:

to create an equation for this sequence we figure out so the equation can be 18-2n. n= the number of the term for the first term we put 1 in for n and we see 18-2(1)=16 which is the first term so its correct. now we put 76 in for n and here is the equation. 18-2(76)=-134

value of u = 2

Hope it helps you...

Answer:

u = 2

Step-by-step explanation:

6u + 7 = 29 - 5u

6u + 5u + 7 = 29 - 5u + 5u

11u + 7 = 29

11u + 7 - 7 = 29 - 7

11u = 22

11u ÷ 11 = 22 ÷ 11

u = 2

The function operation (f.g)(x) is solved by finding the composite function of the functions.

\((f.g)(x)= f(g(x))\\g(x) = \frac{1}{x} = f(\frac{1}{x})\\f(\frac{1}{x}): \frac{x}{2+x} \\(f.g)(x) = \frac{x}{2+x}\)

The domain of this function is given as

\(domain = x < -2 or x > -2\\Interval notation (- infinity , -2) U (-2, inifnity)\)

From the calculations above, the composite function is the ratio of x to x + 2, while the domain of this function moves from negative infinity to negative two and negative two to infinity.

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Answer:

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2(3x−6)−2x+1=25

(2)(3x)+(2)(−6)+−2x+1=25(Distribute)

6x+−12+−2x+1=25

(6x+−2x)+(−12+1)=25(Combine Like Terms)

4x+−11=25

4x−11=25

Step 2: Add 11 to both sides.

4x−11+11=25+11

4x=36

Step 3: Divide both sides by 4.

4x

4

=

36

4

x=9

Answer:

X = 6.5

Step-by-step explanation:

First we need to simplify and also remember the use of PEMDAS.

6x-12-2x+1=25

4x-11=25

Addition property of equality

4x=26

Division property of equality

x=6.5

The lake frontage of lot B to the nearest tenth is; 70.5 yds

We know that;

Two figures are similar if their corresponding angles are congruent , and the ratios of the lengths of their corresponding sides are equal. This common ratio is called the scale factor .

Find the lake frontage (to the nearest tenth) of each lot shown;

184/(54 + 69 + 57) = A/54 = B/69 = C/57

Thus, the lake frontage of lot B to the nearest tenth is;

B/69 = 184/180

B = (184 * 69)/180

B = 70.5 yds

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Answer:

wioajfcskaljfcksjhnfkmdesdn,k  obviously

Step-by-step explanation:

By the ratio test, the first series converges if

\(\displaystyle \lim_{k\to\infty} \left|\frac{\frac{x^{k+1}}{k+10}}{\frac{x^k}{k+9}}\right| = |x| \lim_{k\to\infty} \frac{k+9}{k+10} = |x| < 1\)

while the second series converges if

\(\displaystyle \lim_{k\to\infty} \left|\frac{(k+1)(k+5)x^{k+1}}{k(k+4)x^k}\right| = |x| \lim_{k\to\infty} \frac{k^2+6k+5}{k^2+4k} = |x| < 1\)

So as long as |x| < 1, we have

\(\displaystyle h(x) = -(x+4) f(x) + 7x^2 g(x)\)

Distribute f(x) :

\(\displaystyle h(x) = -x f(x) - 4 f(x) + 7x^2 g(x)\)

Substitute f and g with their series representations:

\(\displaystyle h(x) = -x \sum_{k=0}^\infty \frac{x^k}{k+9} - 4 \sum_{k=0}^\infty \frac{x^k}{k+9} + 7x^2 \sum_{k=0}^\infty k(k+4)x^k\)

Simplify the powers of x :

\(\displaystyle h(x) = -\sum_{k=0}^\infty \frac{x^{k+1}}{k+9} - 4 \sum_{k=0}^\infty \frac{x^k}{k+9} + 7 \sum_{k=0}^\infty k(k+4)x^{k+2}\)

Shift the index in each sum as needed so that each one is written in terms of \(x^k\) :

\(\displaystyle h(x) = -\sum_{k=1}^\infty \frac{x^k}{k+8} - 4 \sum_{k=0}^\infty \frac{x^k}{k+9} + 7 \sum_{k=2}^\infty (k-2)(k+2)x^k\)

Pull out as many terms as needed from each sum so that they each start with the same index:

\(\displaystyle h(x) = -\left(\frac x9 + \sum_{k=2}^\infty \frac{x^k}{k+8}\right) - 4 \left(\frac19 + \frac x{10} + \sum_{k=2}^\infty \frac{x^k}{k+9}\right) + 7 \sum_{k=2}^\infty (k-2)(k+2)x^k\)

Condensing the series gives

\(\displaystyle h(x) = -\frac49 - \frac{23}{45}x + \sum_{k=2}^\infty \left(7(k-2)(k+2)-\frac1{k+8} - \frac4{k+9}\right)x^k\)

So, if

\(\displaystyle h(x) = \sum_{k=0}^\infty c_kx^k = c_0 + c_1x + c_2x^2 + \cdots\)

then it follows that

\(c_0 = -\dfrac49\)

\(c_1 = -\dfrac{23}{45}\)

and for k ≥ 2,

\(c_k = \displaystyle 7(k-2)(k+2)-\frac1{k+8} - \frac4{k+9}\)

The critical value of the chi-squared statistic with a significance level of 0.05 is 3.84. Therefore, the correct answer is option B.

The null hypothesis in this case would be that there is independence between the type of sleeping pill and the presence of any adverse health condition.

The critical value needed to test for this is the chi-squared statistic with a significance level of 0.05.

To calculate the critical value, we first need to calculate the degrees of freedom,  which is calculated by (rows-1) * (columns-1).  In this case, the degrees of freedom is (2-1)*(2-1) = 1.

The critical value of the chi-squared statistic with a significance level of 0.05 is 3.84. This means that if the calculated chi-squared statistic is greater than 3.84, then we can reject the null hypothesis and claim that there is a significant relationship between the type of sleeping pill and the presence of any adverse health condition.

Therefore, the critical value of the chi-squared statistic with a significance level of 0.05 is 3.84. Therefore, the correct answer is option B.

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The domain, range, x-intercept, or y-intercept of g(x) = f(x + 4) + 8. The features of g depend on the corresponding features of f.

Given the function g(x) = f(x + 4) + 8, let's examine its features:

Domain:

The domain of the function g will be the same as the domain of the function f, which depends on the restrictions or constraints of f.  However, it is important to note that shifting the input by 4 units (x + 4) does not inherently change the domain unless there are specific restrictions imposed by f.

Range:

Similar to the domain, the range of the function g will depend on the range of the function f.

x-intercept:

The x-intercept of a function is the point where the graph intersects the x-axis, meaning the y-coordinate is zero (y = 0). To find the x-intercept of g(x), we set g(x) = 0 and solve for x.

0 = f(x + 4) + 8

By subtracting 8 from both sides:

-8 = f(x + 4)

Since the exact value of x that makes f(x + 4) equal to -8. The x-intercept will depend on the behavior of f.

y-intercept:

The y-intercept of a function is the point where the graph intersects the y-axis, meaning the x-coordinate is zero (x = 0). To find the y-intercept of g(x), we substitute x = 0 into the function:

g(0) = f(0 + 4) + 8

g(0) = f(4) + 8

Again, the specific value of f(4) will depend on the behavior of the function f.

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On solving the providewd question we can say that, public static double solve(double a, double b, double c, boolean flag )

A quadratic equation is a quadratic polynomial in one variable that looks like this: x = ax2 + bx + c. a 0. This polynomial has at least one solution since it is a second-order polynomial, according to the Fundamental Theorem of Algebra. The answer can actually work or be difficult.

public static double solve(double a, double b, double c, boolean flag)

{     double d = Math.sqrt(b*b - 4*a*c);     if(flag)

{         return (-b + d) / (2*a);     }

else {         return (-b - d) / (2*a);     } }

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Answer:

error in Step 2

Step-by-step explanation:

2(x - 3) + 3x = 19

Step 1 : 2x - 6 + 3x = 19 ← simplify left side by collecting like terms

Step 2 : 5x - 6 = 19 ← add 6 to both sides

Step 3 : 5x - 6 + 6 = 19 + 6

Step 4 : 5x = 25 ← divide both sides by 5

Step 5 : x = 5

Error was made by student in Step 2 who should have added 2x and 3x, not multiplied 2 × 3

The distance between the cash register and either dressing room could be 12 feet or 24 feet

The correct answer is an option (E) II and III

In this question, we have been given a cash register in a certain clothing store is at the same distance from two dressing rooms in the store.

The distance between the two dressing rooms is 16 feet.

We need to find the distance between the cash register and either dressing room.

Let m be the distance between the cash register and either dressing room.

Since, a cash register in a certain clothing store is at the same distance from two dressing rooms in the store.

assuming cash register and both the dressing rooms are linear we get an equation,

m + m = 16

2m = 16

m = 8 feet

If cash register and both the dressing rooms are not linear, then the distance between the cash register and either dressing room must be greater than 8 feet.

Therefore, the distance between the cash register and either dressing room is either 12 feet or 24 feet

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Answer:

what's that

Step-by-step explanation:

Answer:

k = -3

Step-by-step explanation:

Lines in the form y=k are horizontal. The lowest point on the parabola has a y-value of -3. That is the value where y=-3 will intersect the parabola at exactly one point. Every k value above this will have 2 points of intersection.

To find the distance between Basti and Cian, we can use the law of sines in triangle ABC. The law of sines states that the ratio of the length of a side to the sine of the opposite angle is constant for all sides and their corresponding angles in a triangle.

Let's label the distance between Basti and Cian as "x". We know that the measure of angle ABC is 50 degrees and the measure of angle BAC is 60 degrees. We also know that Ali is exactly 150 ft away from Basti.

Using the law of sines, we can set up the following equation:

sin(50°) / 150 = sin(60°) / x

To solve for "x", we can rearrange the equation:

x = (150 * sin(60°)) / sin(50°)

Using a calculator, we can evaluate the expression:

x ≈ (150 * 0.866) / 0.766

x ≈ 168.4 ft

Therefore, the distance between Basti and Cian is approximately 168.4 ft.

Answer:

0.218

Step-by-step explanation:

Answer:

a

Step-by-step explanation: