Please answer now!! (Math)

Please Answer Now!! (Math)

Answers

Answer 1

Answer:

2nd option

Step-by-step explanation:

Simplify first what is in the parenthesis before distributing the exponent outside would help.

Remember that negative exponents simply means that their on the wrong side of the fraction. So if you find a variable with a negative exponent as a numerator, you bring them down and when it is found as a denominator, you bring them up.

Also when you distribute your exponents, you always multiply it to each exponent inside the parenthesis.

Look at the attached picture for the solution

Please Answer Now!! (Math)
Answer 2

Answer:

[tex] \frac { 1 } { x ^ 2 1 y ^ { 1 2 } }[/tex]

Step-by-step explanation:

We are given the following expression and we are to simplify it:

[tex] [ \frac { ( x ^ { - 3 } ) ( y ^ 2 ) } { ( x ^ 4 ) ( y ^ 6 ) } ] ^ 3[/tex]

[tex]\frac{x^{-3\times 3}.y^{2\times 3}}{x^{4\times 3}.y^{6\times3} }[/tex]

[tex]\frac{x^{-9}y^6}{x^{12}y^{18}}[/tex]

[tex]x^{-9-12}.y^{6-12}[/tex]

[tex]x^-21.y^{-12}[/tex]

This can also be written as:

[tex]\frac{1}{x^21y^{12}}[/tex]


Related Questions

Ricco bought bagels for 6 people. He bought enough for everyone to have two bagels. How many bagels did he buy?​

Answers

hello!

your answer should be 12 bagels

Answer:

12

Step-by-step explanation:

6 people

2 bagels per person

This is a multiplication problem.

2 * 6 = 12

He bought 12 bagels.

Abby used the law of cosines for KMN to solve for k.

k2 = 312 + 532 – 2(31)(53)cos(37°)



Law of cosines: a2 = b2 + c2 – 2bccos(A)

What additional information did Abby know that is not shown in the diagram?

mK = 37° and n = 31
mK = 37° and k = 31
mN = 37° and n = 31
mN = 37° and k = 31

Answers

Answer:

mK = 37° and n = 31

Step-by-step explanation:

its A of ed.

Answer:

A is the answer

Step-by-step explanation:

two cars start to drive around a 2 km track at the same time. car x make one lap every 80 seconds while car y makes one lap every 60 s
(a)how long will it take for the cars to be at their starting point again? give your answer in minutes.
(b)how long will it take to the faster car to be ahead by 15 laps? give your answer in hours.




Answers

Answer:

20 minutes

Step-by-step explanation:

Both will meet again at start point after LCM(60,80) seconds.

That is 240 seconds.

in time slower car completes one lap, faster one covers 1 +20/80 lap, that is 1.25 laps. After 20 laps faster by slower car car will be 5 laps ahead, time =20*60 = 1200s = 20 minutes.

hope it help

The arena will also have a children’s assault course in one area. As part of this, a climbing structure needs to be built in the shape of a pyramid. Look at the diagram below.


What is the area of this shape?
m2

Answers

hello!

Answer:

Step-by-step explanation:
We have been given a diagram of a pyramid and we are asked to find the area of our given pyramid.
We can see that base of pyramid is square, so we will use area of square pyramid formula to solve our given problem.
, where,
a = Length of base,
h = height of pyramid.
Upon substituting our given values in above formula we will get,







Therefore, area of our given pyramid is 24 square meters.

Answer:

Area of the shape is 21 m².

Step-by-step explanation:

From the given figure it is clear that the figure contains one square with edge 3 m and 4 congruent triangles with base 3 m and height 2 m.

The area of a square is

[tex]A=a^2[/tex]

[tex]A_1=(3)^2=9[/tex]

The area of square is 9 m².

The area of a triangle is

[tex]A=\frac{1}{2}\times base \times height[/tex]

The area of a triangle whose base is 3 m and height 2 m is

[tex]A=\frac{1}{2}\times 3 \times 2=3[/tex]

The area of a triangle is 3 m². So, the area of 4 triangles is

[tex]A_2=4 \times A=4\times 3=12[/tex]

The area of 4 triangles is 12 m².

The area of shape is

[tex]A=A_1+A_2=9+12=21[/tex]

Therefore the area of the shape is 21 m².

The length of the hypotenuse of a right triangle is 24. If the length of one leg is 8, what is approximate length of the other leg.

Answers

Something that a right triangle is characterised by is the fact that we may use Pythagoras' theorem to find the length of any one of its sides, given that we know the length of the other two sides. Here, we know the length of the hypotenuse and one other side, therefor we can easily use the theorem to solve for the remaining side.

Now, Pythagoras' Theorem is defined as follows:

c^2 = a^2 + b^2, where c is the length of the hypotenuse and a and b are the lengths of the other two sides.

Given that we know that c = 24 and a = 8, we can find b by substituting c and a into the formula we defined above:

c^2 = a^2 + b^2

24^2 = 8^2 + b^2 (Substitute c = 24 and a = 8)

b^2 = 24^2 - 8^2 (Subtract 8^2 from both sides)

b = √(24^2 - 8^2) (Take the square root of both sides)

b = √512 (Evaluate 24^2 - 8^2)

b = 16√2 (Simplify √512)

= 22.627 (to three decimal places)

I wasn't sure about whether by 'approximate length' you meant for the length to be rounded to a certain number of decimal places or whether you were meant to do more of an estimate based on your knowledge of surds and powers. If you need any more clarification however don't hesitate to comment below.

if x=3+2root2,find the value of xsquare+1/xsquare​

Answers

Answer:

34.

Step-by-step explanation:

x = 3 + 2√2

x^2 = (3+2√)^2

=  9 + 8 + 12√2

= 17 + 12√2

x^2 + 1 /x^2

= (17 + 12√2)^2 +  (1 / (17 + 12√2)

= 34.

The Nolansky family has saved $360 as a down payment for a new computer. If x is the monthly payment for one year, the expression $12x + $360 represents the total cost of the computer. Factor this expression

Answers

Answer:

$504

Step-by-step explanation:

since there is 12 months in a year , the family would pay 12$ a year.

12x12= 144

then since they paid a down payment of $360

360+144=504

so they would have paid $504

Answer:

After factorization of given expression we get 12( x + 30 ).

   

Step-by-step explanation:

Given:

Money Saved by Nolansky family for down payment = $ 360

x is the monthly payment for 1-year

Expression Representing the total cost of the computer = 12x + 360

To find: Factors of the given expression.

We need to factor the given expression. We do it by taking the common factor of both the term.

Consider,

12x + 360

= 2 × 2 × 3 × x +  2 × 2 × 2 × 3 × 3 × 5

= 2 × 2 × 3 × ( x + 2 × 3 × 5 )

= 12 × ( x + 30 )

= 12 ( x + 30 )

Therefore, After factorization of given expression we get 12( x + 30 ).

How to make 2 3/4 a improper fraction

Answers

Answer:

11/4

Step-by-step explanation:

ok lets say one 2 is equal to 4/4  so you have 8/4 plus the 3/4

Answer:

11/4

Step-by-step explanation:

you have to multiply 2 by 4 because there are 2 groups of four which would get you to 8 then add the left overs which would make it 11 and bam 11/4

Solve the following equation. Then place the correct number in the box provided. Leave answer in terms of a mixed number. 3x/2 = 5

Answers

Answer:

x = [tex]3\frac{1}{3}[/tex]

Step-by-step explanation:

We are given the following expression which we are to solve for x and give the answer in a mixed form of fraction:

[tex] \frac { 3 x } { 2 } = 5 [/tex]

Taking the denominator to the other side of the equation and multiplying it to get:

[tex]3x=10[/tex]

[tex] x = \frac { 1 0 } { 3 } [/tex]

Writing it in mixed number:

[tex] x = 3 \frac { 1 } { 3 } [/tex]

Final answer:

To solve the equation 3x/2 = 5, first multiply both sides by 2 and then divide by 3, resulting in x = 10/3, which is 3 1/3 as a mixed number.

Explanation:

To solve the equation given, 3x/2 = 5, one must isolate the variable x. This can be done by multiplying both sides by the denominator to cancel it out, followed by dividing by the coefficient of x. Here's the step-by-step calculation:

Multiply both sides by 2 to get rid of the fraction: 2 * (3x/2) = 2 * 5, which simplifies to 3x = 10.

Divide both sides by 3 to solve for x: 3x / 3 = 10 / 3, which simplifies to x = 10 / 3.

Express 10/3 as a mixed number: 10/3 is 3 1/3 because 3 goes into 10 three times with a remainder of 1.

This gives us the final answer in terms of a mixed number.

The system of a quadratic equation and a linear equation may have how many intersection points?

Answers

hello!

A quadratic equation is a parabola and a linear equation is a line. A line and a parabola may intesect 0, 1, or 2 times.
Answer: The system of a quadratic equation and a linear equation may have: no intersections points, one intersection point or two intersection points.

Step-by-step explanation:

It is important to remember that when we graph a linear equation, we get a line and when we graph a quadratic equation, we get a parabola.

Then,  given a system of a quadratic equation and a linear equation, there are three possibles cases for the solution:

- If the line and the parabola never intersect, then there is no real solution.

- If the line just touches the parabola, then there is one real solution.

- If the line and the parabola intersect at two points, then there Two real solutions.

Then the system of a quadratic equation and a linear equation may have: no intersections points, one intersection point or two intersection points.

Urgent!!
X^2=
16
48
12

Answers

Answer:

B. 48

Step-by-step explanation:

Use the property of secant and tangent to the circle: If one secant and one tangent are drawn to a circle from one exterior point, then the square of the length of the tangent is equal to the product of the external secant segment and the total length of the secant.

In yuor case,

Tangent = x

External secant = 6

Secant =6+2

So

[tex]x^2 =6\cdot (2+6)\\ \\x^2 =6\cdot 8\\ \\x^2 =48[/tex]

Answer:

It's literally 16

Step-by-step explanation:

Just 16 bro

x-y=3
a) work out the value of 5(x - y)

b) work out the value of 2x -2y

c) work out the value of y - x

Answers

Step-by-step explanation:

the answers are in the picture

PLEASE HELP WITH EXPLANATION

Answers

Answer:

There are 2 solutions to this equation

[tex]x=-\frac{1}{4} +i\frac{\sqrt{19} }{4} ,x=-\frac{1}{4} -\frac{\sqrt{19} }{4}[/tex]

Step-by-step explanation:

for  a quadratic equation of the form ax^2 + bx + c = 0 the solutions are

[tex]x_{1,2}=\frac{-b±\sqrt{b^{2}-4ac } }{2a}[/tex]

[tex]x=\frac{-2+\sqrt{2^{2}-4.4.5 } }{2.4} :-\frac{1}{4}+ i\frac{\sqrt{19} }{4} \\x=\frac{-2-\sqrt{2^{2}-4.4.5 } }{2.4} :-\frac{1}{4} -i\frac{\sqrt{19} }{4}[/tex]

brainiest plz

is 1:4 equivalent to 8:64

Answers

The answer is no

Simplify 8/64= 1/8= 0.125

1/4= 0.25

Answer:

No

Step-by-step explanation:

Which of the following is an even function?
g(x) = (x - 1)2 + 1
Og(x) = 2x2 + 1
O g(x) = 4x + 2
g(x) = 2x

Answers

Answer: Second Option

[tex]g(x) = 2x^2 + 1[/tex]

Step-by-step explanation:

By definition, a function f(x) is an even function if:

[tex]f (-x) = f (x)[/tex]

This means that each input value x and its negative -x are assigned the same output value y.

To verify which of the functions is even, you must test [tex]f(-x) = f(x)[/tex] for each of them

First option

[tex]g(x) = (x - 1)^2 + 1[/tex]

[tex]g(-x) = (-x -1)^2 +1\\\\g(-x) = ((-1)(x+1))^2 +1\\\\g(-x) = (-1)^2(x+1)^2 +1\\\\g(-x) = (x+1)^2 +1\neq g(x)[/tex]

Second option

[tex]g(x) = 2x^2 + 1[/tex]

[tex]g(-x) = 2(-x)^2 + 1[/tex]

[tex]g(-x) = 2x^2 + 1=g(x)[/tex]

Third option

[tex]g(x) = 4x + 2[/tex]

[tex]g(-x) = 4(-x) + 2[/tex]

[tex]g(-x) = -4x + 2\neq g(x)[/tex]

Fourth option

[tex]g(x) = 2^x[/tex]

[tex]g(-x) = 2^(-x)[/tex]

[tex]g(-x) = \frac{1}{2^x}\neq g(x)[/tex]

Answer:

B

Step-by-step explanation:

Just took test on edge

The circumference of a circle is 28x inches. What is the length of the radius of this circle?
14 in.
21 in.
28 in.
56 in.

Answers

Answer:

14 in

Step-by-step explanation:

The circumference is given as 28x, but it should be [tex]28\pi[/tex]

Now, the formula for circumference of a circle is C = 2πr

Where C is the circumference (given as 28π) and r is the radius

Lets plug it in and find r:

[tex]C=2\pi r\\28\pi = 2\pi r\\r=\frac{28\pi}{2\pi}\\r=14[/tex]

THus, radius is 14 inches

twelve friends share 4 bread rolls equally what fraction of a bread roll does each friend get

Answers

Answer:

Each friend will get 1/3 of a bread roll.

4 bread rolls. and 12 friends.

So 4/12 = 1/3.

Hope it helps..........

Step-by-step explanation:

Answer:

1/3 is the answer.

Step-by-step explanation:

There are 12 people, and 4 bread rolls. Each person would therefore get

4 bread rolls/ 12 people, so each person would get 1/3 of a bread roll.

A produce stand is packing blueberries into 2/5 pound containers. How many containers can be filled with 60 pounds of blueberries? 1/150 1/24 24 150

Answers

Answer:

24

Step-by-step explanation:

To solve the equation, multiply 60 by 2/5.

[Note: 60 can be written as 60/1]

60/1 x 2/5

Multiply the numerators:

60 x 2 = 120

Multiply the denominators:

1 x 5 = 5

Now simplify:

120/5 = 24

So, the correct answer is 24. I hope this helps! :)

Answer:

150 containers can be filled with 60 pounds of blueberries.

Step-by-step explanation:

Givens

Each container is for 2/5 pounds.The total number is 60 pounds.

To find the number of containers that can be filled with 60 founds, we can use the following expression

[tex]\frac{2}{5} c=60[/tex]

Where [tex]c[/tex] is containers. Solving for [tex]c[/tex]

[tex]c=\frac{60(5)}{2}\\ c=\frac{300}{2}\\ c=150[/tex]

Therefore, 150 containers can be filled with 60 pounds of blueberries.

How many solutions are possible for a triangle with A = 113° , a = 15, and b = 8

Answers

Answer:

One solution.

Step-by-step explanation:

To determine the number of possible solutions for a triangle with A = 113° , a = 15, and b = 8, we're going to use the law of sines which states that: "When we divide side a by the sine of angle A  it is equal to side b divided by the sine of angle B,  and also equal to side c divided by the sine of angle C".

Using the law of sines we have:

[tex]\frac{sin(A)}{a} = \frac{sin(B)}{b}[/tex]

[tex]\frac{sin(113)}{15} = \frac{sin(B)}{8}[/tex]

Solving for B, we have:

[tex]sin(B)=0.4909[/tex]

∠B = 29.4°

Therefore, the measure of the third angle is: ∠C = 37.6°

There is another angle whose sine is 0.4909 which is 180° - 29.4° = 150.6 degrees. Given that the sum of all three angles of any triangle must be equal to 180 deg, we can't have a triangle with angle B=113° and C=150.6°, because B+C>180.

Therefore, there is one triangle that satisfies the conditions.

Answer:

b on edge

Step-by-step explanation:

Solve for x.
Your answer must be simplified.
17r > -17

Answers

Hello :D

Answer:

[tex]\boxed{R>-1}[/tex]

The answer should have a negative sign.

Step-by-step explanation:

First, you do is divide by 17 from both sides of an equation.

[tex]\frac{17r}{17}>\frac{-17}{17}[/tex]

Then, you simplify and solve to find the answer.

[tex]-17\div17=-1[/tex]

[tex]\boxed{R>-1}[/tex], which is our answer.

I hope this helps you!

Have a great day! :D

Answer: [tex]r>-1[/tex]

Step-by-step explanation:

Given the inequality provided [tex]17r > -17[/tex], you need to solve for "r".

To do this, you can divide both sides of the inequality by 17. Then you  get the following solution:

[tex]17r > -17\\\\\frac{17r}{17}>\frac{-17}{17}\\\\(1)r>(-1)\\\\r>-1[/tex]

Now, you can expressed this solution in Interval notation form.

 Therefore, the solution of the inequality in Interval notation is:

[tex](-1, \infty)[/tex]

Find the distance between the points (7/3,2) and (1/3,-1)

Answers

[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{\frac{7}{3}}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{\frac{1}{3}}~,~\stackrel{y_2}{-1})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{\left( \frac{1}{3}-\frac{7}{3} \right)^2+(-1-2)^2}\implies d=\sqrt{\left( -\frac{6}{3} \right)^2+(-3)^2} \\\\\\ d=\sqrt{(-2)^2+(-3)^2}\implies d=\sqrt{4+9}\implies d=\sqrt{13}[/tex]

The distance between the given coordinate points is √13 units.

The given coordinate points are (7/3,2) and (1/3,-1).

What is distance formula?

The distance formula which is used to find the distance between two points in a two-dimensional plane is also known as the Euclidean distance formula. On 2D plane the distance between two points (x1, y1) and (x2, y2) is Distance = √[(x2-x1)²+(y2-y1)²].

Substitute (x1, y1)=(7/3,2) and (x2, y2)=(1/3,-1) in distance formula, we get

Distance = √[(1/3-7/3)²+(-1-2)²]

= √[(-2)²+(-3)²]

= √13 units

Therefore, the distance between the given coordinate points is √13 units.

To learn more about the distance formula visit:

brainly.com/question/27262878.

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Parallel lines t and u are cut by two transversals, r and s, which intersect line u at the same point.

What is the measure of angle 2?
25°
42°
46°
88°

Answers

Answer:

Second option.

Step-by-step explanation:

The angle [tex](3x+17)\°[/tex] and the angle [tex](4x-8)\°[/tex] are alternate exterior angles, then they are congruent. So we can can find "x":

[tex]3x+17=4x-8\\17+8=4x-3x\\x=25[/tex]

Then, the angle  [tex](4x-8)\°[/tex] is:

 [tex](4x-8)\°=(4(25)-8)\°=92\°[/tex]

You can observe that the angle identified in the figure attached as "3" and the angle 46° are Alternate interior angles, then they are congruent.

Since the sum of the measures of the angles that measure 92°, 46° and the angle "2" is 180°, we can find the measure of the angle "2" by solving this expression:

[tex]92\°+46\°+\angle 2=180\°\\\\\angle 2=180\°-92\°-46\°\\\\\angle 2=42\°[/tex]

Answer:I agree that 46 is correct

Step-by-step explanation:

if there is no real number solution to the quadratic equation x^2+2x+c=0 what is a possible value of c?

1
-2
0
3

Answers

Answer:

The possible value of 'x' is: 3.

Step-by-step explanation:

A polynomial has no real solutions when the discriminat is less than zero. Given the following polynomial: [tex]ax^{2} +bx+c = 0[/tex] the discriminant is given by: [tex]Discriminant = b^{2}-4ac[/tex]

In this case, a=1, b=2. By substituting those values:

[tex]Discriminant = 2^{2}-4(1)c[/tex] ⇒ [tex]Discriminant = 4-4c[/tex]

Given that the discriminant should be less tha zero, then 'c' must be greater than one.

In this case, the only possible value of 'x' is: 3.

Answer:

3

Step-by-step explanation:

Given

x² + 2x + c = 0 ← in standard form

with a = 1, b = 2 and c = c

If there are no real solutions then the discriminant

b² - 4ac < 0, that is

2² - (4 × 1 × c ) < 0

4 - 4c < 0 ( subtract 4 from both sides )

- 4c < - 4

Divide both sides by - 4, reversing the sign as a consequence

c > 1

Hence a possible value of c is 3

Determine the equation of the line with slope 3 that passes through the point M(1,2)

Answers

Hello!

The answer is:

The equation of the line with slope 3 that passes through the point M(1,2) is:

[tex]y=3x-1[/tex]

Why?

To determine the equation of the line with slope equal to 3, that passes through the point M(1,2) we can use the following equation:

The slope-intercept of the line is defined by the following equation:

[tex]y=mx+b[/tex]

Where,

m is the slope of the line

b is the constant number which represents the y-axis intercept of the line.

So, using the given information, we have:

[tex]y=3x+b[/tex]

Then, using the given point to calculate "b", we have:

[tex]2=3*1+b[/tex]

[tex]2=3+b[/tex]

[tex]2-3=b[/tex]

[tex]b=-1[/tex]

So, rewriting the equation, we have:

[tex]y=3x-1[/tex]

Hence, the equation of the line with slope 3 that passes through the point M(1,2) is:

[tex]y=3x-1[/tex]

Have a nice day!

A credit card advertises an annual interest rate of 23%. What is the equivalent monthly interest rate?

Answers

Answer:

1.74 %

Step-by-step explanation:

the equivalent monthly interest rate of a credit card with an annual interest rate of 23% is 1.74 %.

Hope this helps!

Graph the following piecewise function.
2 f(x)= x+3 if 4 < x <8
2x if x 28
2

Answers

Final answer:

The piecewise function can be graphed by graphing the two sub-functions, x+3 and 2x, separately for their defined ranges of x-values, with x+3 for 4 < x < 8 and 2x for x > 8, and combining them to form the complete graph of the piecewise function.

Explanation:

To graph this piecewise function, you would start by separately graphing each sub-function, x+3 and 2x, within their defined ranges of x-values, with x+3 defined for 4 < x < 8 and 2x defined for x > 8.

For 4 < x < 8, plot the line y = x + 3, but only include the section of the line where x values are greater than 4 and less than 8. Keep in mind this will not include the points where x=4 or x=8.

Next, for x > 8, plot the line y = 2x, but this time only include the section of the line where x values are greater than 8. Ensure X=8 is excluded.

The two separate lines drawn are the graphical representation of the piecewise function f(x).

Learn more about Graphing piecewise functions here:

https://brainly.com/question/40942486

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estimate the value of 9.9 smaller 2 x 1.79

Answers

2 x 1.79 = 3.58
3.58 - 9.9 = -6.32

What is the solution to the system of equations? y = x + 3 x = –2

Answers

Answer:

(-2, 1)

Step-by-step explanation:

Just substitute -2 for x in y = x + 3:    y = -2 + 3 = 1.  So the solution is (-2, 1).

Answer:

Solution of the system of equations

y = x + 3

x = –2 is:

(-2,1)

Step-by-step explanation:

We have to find the solution of the system of equations:

y = x + 3

x = –2

Solution means values of x and y

x= -2

Putting it in equation y=x+3

⇒ y= -2+3

⇒ y= 1

Hence, solution of the system of equations

y = x + 3

x = –2 is:

(-2,1)

Two cars leave the same location at 2:00 P.M. If one
car travels north at the rate of 30 m.p.h. and the
other travels east at 40 m.p.h., how many miles apart
are the two cars at 4:00 P.M.?
A) 50
B) 100
C) 120
D) 140

Answers

Answer:

Step-by-step explanation:

The cars are 100 miles apart at 4:00 pm.

Explanation: Since north and east are perpendicular, this scenario creates a right triangle. where one side is 30(x) and the other is 40(x), where x is the number or miles traveling. We know that x = 2. So it’s a right triangle with sides 60 and 80.

Now we use the Pythagorean Theorem, which is: a² + b² = c².
80² + 60² = 3600 + 6400 = 10000

Now we take the square root of 10000.
√10000 = 100, because 100² = 10000.

Hope this helps.

The variable z is directly proportional to x, and inversely proportional to y. When x is 4 and y is 13, z has the value 1.2307692307692. What is the value of z when x= 9, and y= 20

Answers

Answer:

Step-by-step explanation:

1.2307692307692.

The first step is to find the proportionality constant.

The formula is

z = kx/y

1.2307692307692 = k * 4/13          Multiply both sides by 13

1.2307692307692 * 13 = 4k

16 = 4*k                                            Divide by 4

k = 16/4

k = 4

=================================

z = k*x/y

x = 9

y = 20

k = 4

z = 4 *9/20

z = 36/20

z = 1.8

Answer:

[tex]&\boxed{\text{1.800 000 000 0000}}[/tex]

Step-by-step explanation:

[tex]z \propto x\\\\z \propto \dfrac{1}{y}\\\\z \propto \dfrac{x}{y}\\\\z = k \left (\dfrac{x}{y} \right )[/tex]

Solve for k

[tex]\begin{array}{rcl}1.2307692307692& = & k\left (\dfrac{4}{13} \right )\\\\16.000000000000 & = & 4k\\k & = & 3.9999999999999\\\\z & = & 3.9999999999999\left (\dfrac{x}{y}\right )\\\end{array}[/tex]

Calculate the new value of z

[tex]\begin{array}{rcl}z & = & 3.999 999 999 9999 \left (\dfrac{9}{20}\right )\\\\& = &\boxed{\textbf{1.800 000 000 000}}\\\end{array}[/tex]

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