What is the rule for the reflection?

Answer:

x=30

Step-by-step explanation:

Simplifying

6x + 8 = 4(x + 17)

Reorder the terms:

8 + 6x = 4(x + 17)

Reorder the terms:

8 + 6x = 4(17 + x)

8 + 6x = (17 * 4 + x * 4)

8 + 6x = (68 + 4x)

Solving

8 + 6x = 68 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.

8 + 6x + -4x = 68 + 4x + -4x

Combine like terms: 6x + -4x = 2x

8 + 2x = 68 + 4x + -4x

Combine like terms: 4x + -4x = 0

8 + 2x = 68 + 0

8 + 2x = 68

Add '-8' to each side of the equation.

8 + -8 + 2x = 68 + -8

Combine like terms: 8 + -8 = 0

0 + 2x = 68 + -8

2x = 68 + -8

Combine like terms: 68 + -8 = 60

2x = 60

Divide each side by '2'.

x = 30

Simplifying

x = 30

*One thing we should remember before we start the problem is what "linear stretch means! It means that all of these places are on a straight line.

Apple to Cold = 39 mines

Apple to Baker = 12 miles

Baker to Cold = ?

I've attached a picture of how to solve this problem*

I hope I've helped! Message me if you have any questions or concerns! :)

Answer:

3/9 or 1/3

Step-by-step explanation:

change in y over change in x is the slope

youre going up 3 and right 9, so 3/9 which simplifies to 1/3

The probability of winning is 0.00078395061 or approximately 0.078%.

There are five dice, and each dice has six sides.

There are a total of 6^5 possible outcomes.

This gives us 7776 possible outcomes.

We want to find the probability that we get at least four 6s in the next round.

The probability of getting exactly four 6s can be found by using the binomial distribution, which is given by the formula:

P(4) = (5 choose 4) * (1/6)^4 * (5/6)^1

P(4) = 5 * (1/6)^4 * (5/6)^1

P(4) = 0.00077160493

The probability of getting exactly five 6s can be found in a similar way:

P(5) = (5 choose 5) * (1/6)^5 * (5/6)^0

P(5) = 1 * (1/6)^5 * (5/6)^0

P(5) = 0.00001234568

The probability of getting at least four 6s is the sum of the probabilities of getting exactly four 6s and exactly five 6s.

P(at least 4) = P(4) + P(5)

P(at least 4) = 0.00077160493 + 0.00001234568

P(at least 4) = 0.00078395061

So, the probability of winning the next round by rolling at least four number 6's is 0.00078395061. This is equivalent to approximately 0.078%. Hence, the probability of winning is 0.00078395061 or approximately 0.078% which is calculated by using binomial distribution formula.

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a) A random American has a 0.25249 probability of drinking over 25 gallons of bottled water.

b) The chance that a random person consumed around 18 and 26 gallons is 0.66575.

Using the z score formula, z = (x-μ) ÷ σ, where x is the raw score, the population mean = 23.2 gallons, and the population standard deviation = 2.7 gallons.

a) The probability that a randomly chosen American consumes over 25 gallons of water bottles in a year.

For x = 25 gallons

z = 25 - (23.2 ÷ 2.7)

z = 0.66667

Z-Table probability value:

P(x<25) = 0.74751

P(x>25) = 1 - P(x<25)

1 - 0.74751

= 0.25249

A random American has a 0.25249 chance of drinking over 25 gallons of mineral water in a year.

2) The possibility that the chosen individual consumes between 18 and 26 liters of water

For x = 18 gallons

z = 18 - (23.2 ÷ 2.7)

z = 9.407

Z-Table probability value:

P(x = 18) = 0.32836

For x = 26 gallons

z = 26 - (23.2 ÷ 2.7)

z = 17.407

Z-Table probability value:

P(x<25) = 0.74751

P(x>25) = 1 - P(x<25)

1 - 0.74751

= 0.25249

The selected person is going to consume between 18 and 26 liters of alcohol.

P(x = 26) - P(x = 18)

= 0.99411 - 0.32836

= 0.66575

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The amount consists of two steps: first, a reflection in the x-axis followed by a reflection in the y-axis, then a rotation of 180° about the origin, followed by a translation of one unit either to the left or to the right.

The transformation first consists of two reflections, one in the x-axis and one in the y-axis. This will create a mirror image of the original shape, flipping it across the x-axis and then the y-axis. The next step is a rotation of 180° about the origin. This will turn the shape around so that the reflection is facing the opposite direction. The last step is a translation of one unit either to the left or to the right. This will move the shape one unit in the specified direction, creating a new shape with the same orientation and size as the original, but shifted in space. This transformation will create a new shape that is a symmetrical mirror image of the original shape, with a different position in space.

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Answer:

1, 2, 3

Step-by-step explanation:

If you add them, you get 6. Of you multiply them, (1 * 2 * 3 = 6) you get 6.

Hope that this helps!

Answer:

$132

Step-by-step explanation:

48÷4=12 so 12 times 11 equals 132

The length of the rectangle is 7 cm and the width is 5 cm.

The whole distance covered by the rectangle's borders or its sides is known as its perimeter. As we know the rectangle will have 4 sides then the perimeter of the rectangle will be equal to the total of its four sides. And the unit will be in meters, centimeters, inches, feet, etc.        

The formula for the Perimeter of the rectangle is given by

Here we have

The length of a rectangle is 2cm greater than the width of the rectangle

And perimeter of the rectangle = 24 cm

Let x be the width of the rectangle

From the given data,

Length of the rectangle = (x + 2) cm  

As we know Perimeter of rectangle = 2(Length+width)

=> Perimeter of rectangle = 2(x+2 + x) = 2(2x +2)

From the given data,

Perimeter of rectangle =  24cm

=> 2(2x +2) = 24 cm

=> (2x +2) = 12     [ Divided by 2 into both sides ]

=>  2x = 12 - 2

=>  2x = 10

=>   x = 5         [ divided by 2 into both sides ]  

Length of rectangle, (x+2) = 5 + 2 = 7 cm

Therefore,

The length of the rectangle is 7 cm and the width is 5 cm.

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Answer:

201.45 cm²

Step-by-step explanation:

The whole circle has an area of π(9)² cm², or 81π cm². The shaded part represents all of the circle except for the chunk swept out by sector XZ.

Sector XZ sweeps out 75°, which represents 75/360 of the whole circle, or, simplified, 15/72. That means the shaded area must represent the other 57/72. To find the area then, we can just multiply that fraction by 81π:

\(81\pi\cdot\frac{57}{72}=9\pi\cdot\frac{57}{8}\)

Using π ≈ 3.14 and crunching the numbers out gives us a result of approximately 201.45 cm².

Answer:

Method A is the answer

Answer:

Step-by-step explanation:

Method A is an experiment because random assignment determines which cars receive the additive and which cars do not. Method B is not an experiment because there is no control group and participants are self-selecting, which can introduce bias and confounding variables that may affect the results.

Answer:

The greatest common factor of 4 and 19 is 1

Step-by-step explanation:

Answer:

Greatest common factor of 4 and 19 is 1

Unit conversion is a way of converting some common units into another without changing their real value. The value of (3π/4) radian converted to a degree is 135°.

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimeter is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

Since π radian is equal to 180°. Therefore, the value of (3π/4) radian is equal to,

1 radian = 180°/π

(3π/4) radian = (3π/4) × (180°/π) = 135°

Hence, the value of (3π/4) radian converted to a degree is 135°.

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Answer:

option 2

Step-by-step explanation:

The probability of the coin showing heads is 1/2.

The probability of the spinner landing on purple is 1/4.

The probability of the cube showing a 1, 2, 3, or 5 is 2/3.

The probability of all three events happening is = 1/12.

Therefore, the probability that Jennifer will flip a heads, spin the spinner on purple, and roll a 1, 2, 3, or 5 is 1/12.

Here is a breakdown of the calculation:

Probability of coin showing heads: 1/2

Probability of spinner landing on purple: 1/4

Probability of cube showing 1, 2, 3, or 5: 2/3

Probability of all three events happening: 1/2 * 1/4 * 2/3 = 1/12

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When we have a function f and we want to move it up or down we must add something to the function. If we add a positive number it will move the graph up, if we subtract it will move the graph down.

We want to move up the following graph:

If we want to move it up we must add a positive number to the function. We want 4 units up then let's add 4 to the function

Then the function that represents that transformation is

ok but where are the cases ?!

The time at which both balls are at the same height is t = 2.48 seconds and the balls meet at a height of approximately 125.44 feet.

To find the height at which the balls meet, we need to set the two equations equal to each other:
-16t^2 + 56t = -16t^2 + 156t - 248

By simplifying the equation, we can cancel out the -16t^2 terms and rearrange it to:
100t - 248 = 0

Next, we solve for t by isolating the variable:
100t = 248
t = 248/100
t = 2.48 seconds

Now, we substitute this value of t into one of the original equations to find the height at which the balls meet. Let's use the first equation:
h = -16(2.48)^2 + 56(2.48)
h ≈ 125.44 feet
So, the balls meet at a height of approximately 125.44 feet.

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Answer:

A square is a rhombus.

Step-by-step explanation:

A square is a geometrical figure which has four sides that are congruent. A rhombus is also a geometrical figure in which the four sides are congruent. Hence, it is true that a square is a rhombus. The difference between the two is that all the angles of a square are a right angle, while in rhombus the opposite angles are congruent.

The statement says that you've triggered the Penalty APR so that it has now increased to 28.99%. What action triggered this? You failed to pay the minimum payment by the due date.

You failed to make the minimum payment by the due date. This is an action that can result in a message that "you've triggered the Penalty APR so that it has now climbed to 28.99%."

A charge APR is a charge that can be applied if you don't pay your bills on time. It may be set up so that future transactions may be subject to a penalty APR that is higher than the card's standard rate.

If the minimum payment was not made by the due date, Penalty APR would be applied.

But if the card also has a penalty APR and you trigger it, you will likely lose that promotional offer. Federal consumer protections that limit penalty APRs don't apply to small-business credit cards. That means issuers can be more punitive, such as applying penalty APRs sooner than 60 days after not making payments.

Therefore,

The statement says that you've triggered the Penalty APR so that it has now increased to 28.99%. What action triggered this? You failed to pay the minimum payment by the due date.

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Answer:

The true statements is;

Dilations of an angle must be congruent to the original angle

Step-by-step explanation:

Given that an angle is formed by the intersection of two rays, and that the ratio of the sides of a figure, before and after a dilation are the same, for an angle in a triangle we have, by sine rule;

a/(sin(α)) = b/(sin(β)) = c/(sin(γ))

Rearranging, gives;

a/b = (sin(α))/(sin(β))

Whereby for the dilation, we have;

a'/b' = (sin(α'))/(sin(β'))

We  have;

a/b = a'/b'

∴ (sin(α))/(sin(β)) = (sin(α'))/(sin(β'))

Similarly, we have;

(sin(β))/(sin(γ)) = (sin(β'))/(sin(γ'))

(sin(α))/(sin(γ)) = (sin(α'))/(sin(γ'))

Given that α, β, and γ, are less than 180°, we have

α = α'

∴ α ≅ α' by definition of congruency

β = β'

β ≅ β' by definition of congruency

γ = γ'

γ ≅ γ' by definition of congruency

Therefore; dilations of an angle must be congruent to original angle

The result for simplifying;

\( {( \frac{2a²b×b⁴}{2a²b×9 {a}^{2} } )}^{ \frac{1}{2} } \)

is;

\( \frac{ {b}^{2} }{3b} \)

Simplification of an algebraic expressions is the process of writing an expression in the most efficient and compact way, that is in their simplest form, without changing the value of the original expression.

The greatest common factor the numerator and denominator is 2a²b and so we divide through with it to give;

\( {( \frac{b⁴}{9 {a}^{2} } )}^{ \frac{1}{2} } \)

evaluate the square root, we have;

\( {( \frac{2a²b⁵}{18 {a}^{4}b } )}^{ \frac{1}{2} } = {( \frac{b²}{3a})} \)

Therefore,

\( {( \frac{b²}{3a})} \)

is the result after simplifying the algebraic expression

\( {( \frac{2a²b⁵}{18 {a}^{4}b } )}^{ \frac{1}{2} } \)

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The value of the machine has decreased by another 2.56 thousand dollars.

In the given function, 16 represents the initial value or the value of the machine when it was new, i.e., when x = 0.

The number 4/5 represents the decay factor. It tells us the rate at which the value of the machine is decreasing each year.

We can see that when x = 1 (the machine is 1 year old), the value of the machine becomes:

y = 16(4/5)^1 = 12.8

This means that the value of the machine has decreased by 3.2 thousand dollars from its original value of 16 thousand dollars.

Similarly, when x = 2 (the machine is 2 years old), the value of the machine becomes:

y = 16(4/5)^2 = 10.24

This means that the value of the machine has decreased by another 2.56 thousand dollars.

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There are 16807 number of ways the passengers to be assigned a floor and there are 2520 number of ways the passengers to be assigned a floor but no two passengers are on the same floor.

Given that an elevator starts with five passengers and stops at the seven floors of a building.

From the given information, the total number of floors n=7.

The number of passengers r = 5.

(a) Compute the number of ways that 5 passengers can be assigned to seven floors.

Here, repetition is allowed.

From the known information, if r numbers are selected from n number of observations then the total number of observations that can be drawn from n number of observations is \(n^r\).

If 5 passengers can be assigned to seven floors is 7⁵ = 16807.

(b) Compute the number of ways that the passengers to be assigned a floor but no two passengers are on the same floor.

Here, repetition is not allowed.

If 5 passengers can be assigned to seven floors but no two passengers are on the same floor is 7x6x5x4x3 = 2520.

Hence, the number of ways that 5 passengers can be assigned to seven floors is 16807, and the number of ways that the passengers to be assigned a floor but no two passengers are on the same floor is 2520.

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목록에있는 모든 것을 5 개의 동작으로 가져와야합니다.

Answer:

Step-by-step explanation:

Formula

m =  (y2 - y1)/(x2 - x`1)

Givens

Points M(-5,4) and N(2,-1)

y2 = 4

y1 = -1

x2 = - 5

x1 = 2

Solution

m = (4 - - 1) / (-5 - 2)

m  = (4 + 1) / (- 7)

m = (5) / (- 7)

Answer: m (slope ) = 5/-7

Note

The question is how do you enter it? It depends on how you have been told to enter fractions or mixed numbers. I would answer it as

-5

-----

7

which you will note transfers the minus sign to the top of the fraction. It shouldn't matter as long as the net result is minus.

The value of d at the point of equilibrium, to the nearest whole number is 54

The equations are given as:

\(d = \frac{-5}{9}p + 94\)

\(s = 3p - 160\)

At the point of equilibrium, d = s.

So, we have:

\(\frac{-5}{9}p + 94 = 3p - 160\)

Multiply through by 9

-5p + 846 = 27p - 1440

Collect like terms

27p + 5p = 1440 + 846

Evaluate the sum

32p = 2286

Divide through by 32

p = 71.4375

Substitute p = 71.4375 in \(d = \frac{-5}{9}p + 94\)

\(d = \frac{-5}{9} * 71.4375 + 94\)

Evaluate

d = 54.3125

Approximate

d = 54

Hence, the value of d at the point of equilibrium, to the nearest whole number is 54

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Answer:

its d :)

Step-by-step explanation:

Answer:

The answer is $129.82

you're welcome :)

Step-by-step explanation:

In this exercise, you’ll create a form that accepts one or more scores from the user. Each time a score is added, the score total, score count, and average score are calculated and displayed.

In order to achieve this, you will need to utilize HTML and JavaScript. First, create an HTML form that contains a text input field for the user to input a score and a button to add the score to a list. Then, create a JavaScript function that is triggered when the button is clicked.

To update these values, you will need to loop through the array of scores and calculate the total and count, and then divide the total by the count to get the average.

Finally, the function should display the updated values to the user. You can use HTML elements such as `` or `

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