In the figure below, k Il and m || n. Find the values of x and z.
A

Answer:

48 feet

Step-by-step explanation:

Marco has 2 pieces of rope that are each 8 yards long.

2 x 8 = 16 yards.

Marco has a total of 16 yards of rope.

Note that for converting yard to feet, that: 1 yard = 3 feet.

Marco, in this case, has 16 yards. Multiply 16 yards with 3 feet to obtain your answer:

16 yards x (3 feet/1 yard) = 48 feet/16 yards.

Marco has 48 feet worth of rope.

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Answer: -1.34328358

Step-by-step-explanation;

3(7/5x + 4) - 2(3/2-5/4x) = 0

3·(7/5·x + 4) - 2·(3/2-5/4·x) = 0

134x = -180

x = -180/134 = -1.34328358

Answer: the answer is 72

Step-by-step explanation:

if 50% of a number is 120 then that means its only half of that number so to find out the whole number multiply 120 by 2 which gives you the answer of 240

Now we need to determine 30% of 240 and the procedure explaining it as such

Step 1: In the given case Output Value is 240.

Step 2: Let us consider the unknown value as x.

Step 3: Consider the output value of 240 = 100%.

Step 4: In the Same way, x = 30%.

Step 5: On dividing the pair of simple equations we got the equation as under

240 = 100% (1).

x = 30% (2).

(240%)/(x%) = 100/30

Step 6: Reciprocal of both the sides results in the following equation

x%/240% = 30/100

Step 7: Simplifying the above obtained equation further will tell what is 30% of 240

x = 72%

Therefore, 30% of 240 is 72

I hope this helps

Answer:

  72

Step-by-step explanation:

You want 30% of a number, given that 50% of it is 120, and 80% of it is 192.

The 30% you want will be the difference between 80% and 50%:

  80% -50% = 30%

  192 -120 = 72

30% of the same number is 72.

Answer:

Step-by-step explanation:

y = 2x - 1  

when you sub in 0 in x and -1 in y, the y-intercept is -1.

Answer: 1/54

Step-by-step explanation:

5 2/5 = 27/5

1/10 divide by 27/5 =

1/10 times 5/27 =

5/ 270 = 1/54

The expression (8^(5))/(8^(-9)) is simplified to 8^14. Option 3

Index form of a number can simply be described as that number written in the form of an exponential expression.

The number can also be written as a single number which is raised to another number.

Some rules of indices to note;

Given that;

(8^(5))/(8^(-9))

Then, we have;

8^5-(-9)

8^5+9

Add the powers

8^14

Hence, the value is 8^14

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Answer:

10,000,000,000

Step-by-step explanation:

[tex]10^{10}[/tex]= 10,000,000,000

rounded to the nearest 10th = 10,000,000,000

By using the concept of compact set, it can be proved that

|f(x)−f(y)|≤A∥x−y∥+ϵ,∀x,y∈K.

What is compact set?

A set K is said to be compact if every open cover of K has a finite subcover.

Let K⊆Rn is compact  f:K→R is continuous, and ϵ>0

Let there exist [tex]x_n, y_n[/tex] ∈ K such that |f([tex]x_n[/tex])−f([tex]y_n[/tex])| > n∥[tex]x_n[/tex]−[tex]y_n[/tex]∥+ϵ,

Since K is compact there is a subsequence [tex]x_{nk}[/tex] and [tex]y_{nk}[/tex] of [tex]x_n, y_n[/tex] respectively such that [tex]x_{nk}[/tex] converges to x and [tex]y_{nk}[/tex] converges to y.

So,  |f([tex]x_{nk}[/tex])−f([tex]y_{nk}[/tex])| > [tex]n_k[/tex]∥[tex]x_{nk}[/tex]−[tex]y_{nk}[/tex]∥+ϵ,

Since f is continuous,

We can write

|f(x)−f(y)| > [tex]n_k[/tex]∥x - y∥+ϵ,

This is true for infinite many [tex]n_k[/tex]

So ||x - y|| = 0

|f(x) - f(y)| > ϵ, a contradiction since f is continuous

So,  there is a number A>0 such that

|f(x)−f(y)|≤A∥x−y∥+ϵ,∀x,y∈K.

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Step-by-step explanation:

the x value comes from the slope when graphing. for example, the slope on this problem is just x which means its only one. so you move up one and to the right one. for the second equation, its negative so you move back one or down one. the x value coms from when they are both intercepted when graphed.

Answer:9x-3=8

Step-by-step explanation:

3 less means minus 3 from a number

product of 9 and a number is 9 times x

9x-3=8

is eight means = sign

Answer:

  a) 80

  b) -80

  c) -41

Step-by-step explanation:

For g = -4 and h = -5, you want the values of ...

To evaluate these expressions, put the value of the variable where the variable is, and do the arithmetic. A calculator can help.

  = 4(-4)(-5) = 80

  = (-4)²(-5) = -80

  = 5(-5) -(-4)² = -25 -16 = -41

Answer:

Step-by-step explanation:

1. 0

2. 3

3. 18

4. 33

5. 48

6. 198

The type of automobile insurance coverage that is needed in this problem is of:

Liability coverage.

The types of car insurance coverage are listed as follows:

In this problem, the situation is that Harold caused a collision that resulted in injuries to Tyler, who has to pay the ambulance/hospital bill.

This means that Harold is liable to the injuries caused to Tyler, meaning that he needs liability coverage to help pay the hospital/ambulance bill, as collision coverage and personal injury coverages are for the victim and not for the person that caused an accident.

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Answer:

y = -8x + 3

Step-by-step explanation:

We are given that a line passes through the point (-0.5,7), and is parallel to y = -8x - 2

We want to write the equation of this line in slope-intercept form.

Slope-intercept form is given as y=mx+b, where m is the slope and b is the value of y at the y intercept, hence the name.

Parallel lines have the same slopes.

Therefore, we can start by finding the slope of y = -8x - 2.

It is also written in slope-intercept form. -8 is where m (slope) should be; therefore, the slope of the line is -8.

We can plug in -8 for m in y=mx+b.

y = -8x + b

Now we need to find b.
As the equation passes through the point (-0.5,7), we can use its values to help solve for b.

Substitute -0.5 as x and 7 as y.

7 = -8(-0.5) + b

Multiply

7 = 4 + b

Subtract 4 from both sides

3 = b

Substitute 3 as b in the equation.

y = -8x + 3

Topic: parallel and perpendicular lines

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Answer: 32%

Step-by-step explanation: add up the total and divide 16 by the total number of all people surveyed

to get the slope of any straight line, we simply need two points off of it, let's use those two in the picture below.

[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-3}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-3}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{2}}} \implies \cfrac{ -3 }{ 1 } \implies \text{\LARGE - 3}[/tex]

The percent of the people had a mild that has an allergic reaction is 0.6%.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred. Per 100 is what the word percent means. It is represented by %.

Given that the company that makes haircare products had 2,000 people try a new shampoo. Of the 2,000 people, 12 had a mild allergic reaction.

It should be noted the percentage will be:

= Allergic people / Total people × 100

= 12/2000 × 100

= 0.6%

The percentage is 0.6%.

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The correct option regarding the heights of the trees include:

The range of the tree heights at Yard Works is greater than the range of the tree heights at The Grow Station. This was illustrated as:

(12 - 5) > (12 - 7)

7 > 5

The mean of tree heights at Yard Works is 8 feet.

The mean of tree height at The Grow Station is 9 feet.

The mean absolute deviation of the tree heights at both yards is 2.

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The percent change for people living with the disease is 36.78% and with the number of deaths is 60%

In 2005 there were 29.9 million people worldwide living with a certain disease

By 2015, the number of people living with the disease had fallen to 28.8 million

Decrease in number of people living with a disease = 29.9 - 28.8 = 1.1

decrease in percentage of people living with a disease = (1.1/29.9)/100 = 36.78%

In 2005, 1.5 million deaths from the disease

In 2015,  2.6 million deaths were reported

change in number of deaths from the disease = 2.6 - 1.5 = 0.9

Change in percentage = (0.9/1.5) 100 = 60%

Therefore,  the percent change for people living with the disease is 36.78% and with the number of deaths is 60%

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Answer: x= 27/5

Step-by-step explanation:

This equation can rewrite as -2/3x + 4 = 2/5

We separate x by subtracting 4 from both sides

-2/3x = -20/5 +2/5

-2/3x = -18/5

Then we divided both sides by -2/3

Ad we will get x= 27/5

The cylindrical and spherical coordinates of the point are ([tex]\sqrt{8}[/tex],0.78,-1),(3, 0.78rad, 1.91rad) respectively.

Rectangular coordinates of a point is written like (x, y, z)

Cylindrical coordinates of a point  is written like (r, θ, z)

Spherical coordinates of a point is written like (p, θ, φ)

First talk about Rectangular vs Cylindrical.

x = rcosθ

y = rsinθ.

z = z

x^2 + y^2  = r^2

given rectangular coordinates as (2,2,-1)

x=2, y=2, z=-1.

r^2 = 4+4 = 8.

r = [tex]\sqrt{8}[/tex]

r = 2[tex]\sqrt{2}[/tex]

θ = [tex]tan \inv-1[/tex](y/x) = [tex]tan \inv-1[/tex](2/2) = [tex]tan -1[/tex](1) = 45° = 0.78rad .

z = -1.

So Cylindrical coordinates is (r,θ,z) = ([tex]\sqrt{8}[/tex],0.78,-1).

Now let's us talk about Rectangular vs Spherical Coordinates.

x =  pcosθsinφ.

y= psinθsinφ.

z = pcosφ.

p^2 =  x^2+y^2+z^2.

tanθ = y/x

cosφ = z/p = z/[tex]\sqrt{x^2+y^2+z^2}[/tex].

given rectangular coordinates as (2,2,-1)

x=2, y=2, z=-1.

p = [tex]\sqrt{x^2+y^2+z^2}[/tex] = [tex]\sqrt{2^2+2^2+(-1)^2}[/tex] = [tex]\sqrt{9}[/tex] = 3

θ = [tex]tan -1[/tex](y/x) =  0.78rad .

φ = [tex]cos -1[/tex](z/p) = [tex]cos -1[/tex](-1/3) = 1.91rad

So Spherical coordinates is (3, 0.78rad, 1.91rad).

The cylindrical and spherical coordinates of the point are ([tex]\sqrt{8}[/tex],0.78,-1),(3, 0.78rad, 1.91rad) respectively.

Given Question is incomplete, Complete Question here

The Rectangular Coordinates Of A Point Are (2,2,-1) Find The Cylindrical And Spherical Coordinates Of the Point,

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The expression which is equivalent to the given expression as in the task content by virtue of the laws of indices is; ( 3 )^2n.

It follows from the task content that the expression which is equivalent to the given expression is to be determined.

Since the given expression is;

( 3^4n ) ^(1/2)

However, it follows from the power of power law of indices that the expression above can be written as follows;

( 3 ) ^ (4n × 1/2)

= ( 3 )^2n

Therefore, the required equivalent expression is; ( 3 )^2n.

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Step-by-step explanation:

b.) 8/7≈ 1.1

Final.) and then using the exponential decay formula, 18.1 will be left after

Para calcular la tasa de inflación, debemos seguir una serie de pasos.

Para ello, hemos propuesto un ejemplo en el que, paso a paso, calcularemos para un caso real la tasa de inflación.

Imaginemos que hacemos un listado de las compras realizadas en un año determinado, el cual tomamos como base. Esta compra incluye, a la hora de elaborar un listado, una serie de productos, todos ellos con sus respectivos precios. Productos que, en este caso, son barras de pan, cafés, servicios de taxi y un pantalón de vestir.

En primer lugar, lo que debemos hacer es calcular el gasto de cada producto, para ello, multiplicando las cantidades de cada producto o servicio adquiridas, por el precio que se pagó por cada una de ellas, así como por los servicios.

En este caso, sería lo siguiente:

Barras de pan: 1,50€ x 150 = 225€.

Cafés: 2,40€ x 100 = 240 €.

Taxi: 5€ x 40 = 200€.

Pantalón: 120€.                    

espero haberte ayudado

Answer:

x =50

Explanation:

[tex]\frac{2}{100}[/tex] = [tex]\frac{1}{x}[/tex]

Cross multiply 100 and 1, which makes 100. Then cross divide 100 by two, which makes 50.

Then check if 2% of 50 is 1, which is true.

x = 50

The distance between the two points (5,5) and(-1,-3) is 10 from the distance formula.

Given that,

The points area (5,5) and (-1,-3)

We have to find the distance between the two points.

We know that,

The distance between two points is the length of the line segment spanning those two points on the plane.

d=√((x₂ - x₁)² + (y₂ - y₁)²) is a common formula to calculate the distance between two points.

Any two points on an x-y plane or coordinate plane can have their separation between them determined using this equation.

We get,

(5,5) and (-1,-3)

Distance= [tex]\sqrt{(-1-5)^{2}+(-3-5)^{2} }[/tex]

Distance= √(-6)²+((-8)²

Distance= √36+64

Distance= √100

Distance =10

Therefore, The distance between the two points (5,5) and(-1,-3) is 10 from the distance formula.

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Answer:

1/2

Step-by-step explanation:

-1(15+4-27)/16

Add 15 and 4 to get 19.

Now you have -1(19-27)/16

Subtract 27 from 19 to get −8.

-1(-8)/16

Reduce the fraction 16/−8 to lowest terms by extracting and canceling out 8.

-(-1/2)

Simplify

1/2

Answer:

1/2

Step-by-step explanation:

⁻¹⁽¹⁵⁺⁴⁻²⁷⁾⁄₁₆

Calculate:

-(15 + 4 - 27) / 16

-(19-27)/16

-(-8) / 16

= 8/16

Simplify:

= 1/2

Answer:

Step-by-step explanation:

Main answer: mean = 23

supporting answer: Agraphical representation of a normal distribution is sometimes called a bell curve because of its flared shape. The precise shape can vary according to the distribution of the population but the peak is always in the middle and the curve is always symmetrical. In a normal distribution, the mean, mode and median are all the same.

body of the answer: given total number of samples=15

 percentage of failure stain=25 percent=0.25

 standard deviation=3.5

a. formula used=z=x- mean/standard deviation

p(0.25<x<0)

z=25-mean  /3.5

0.6*3.5=25-mean

mean=25-0.6*3.5

           =22.9

since A(0.25)=0.6

b. for 15 adults the mean is 23

for one adult =23/15

                     =1.533

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The mean for the given statistic problem is 23.

The strain for a single adult in a way that conveys information about precision and reliability is 1.533.

What is normal distribution?

A graphical representation of a normal distribution is sometimes called a bell curve because of its flared shape. The precise shape can vary according to the distribution of the population but the peak is always in the middle and the curve is always symmetrical. In a normal distribution, the mean, mode and median are all the same.

Given total number of samples=15

percentage of failure stain=25 percent=0.25

standard deviation=3.5

a. formula used=z=x- mean/standard deviation

p(0.25<x<0)

z=25-mean  /3.5

0.6*3.5=25-mean

mean=25-0.6*3.5

          =22.9

since A(0.25)=0.6

b. For 15 adults the mean is 23

For one adult =23/15

                    =1.533

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0>1,If a function f is constructed recursively, at least one of its values, f(x), must be defined in terms of f(y), where x>y.

Explanation:

0>1.

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