Giving right answer branleist

The value of the image of  (-8,6) after reflection over the line y =−x is (-6, 8)

What value will the image of (-8,6) have reflection over the line y=−x?

Generally, the image of any line (x,y) after reflection in line y = -x will have the values x = -y and y = -x.

Since (-8, 6)has  x = -8 and y = 6. Therefore the image of (-8,6) will have:

x = -(6) = -6  and y = -(-8) = 8

Therefore, the image of (-8,6) after a reflection over the line y=−x will be (-6, 8).

Learn about image after a reflection  on:

https://brainly.com/question/26642069

#SPJ1

Answer:

cweds

Step-by-step explanation:

The most appropriate domain of the function /(x) - 2.5x models is (A) OS XS 55.The function / (x) - 2.5x models the distance Alex has to go to the store. To find the most appropriate domain of the function, we need to consider the given problem carefully. Alex takes 22 minutes to walk from his home to the store.

Therefore, it is evident that he cannot walk for more than 22 minutes to reach the store. It is also true that he cannot cover a distance of more than 22 minutes. Hence, the most appropriate domain of the function would be (A) OS XS 55. Therefore, the most appropriate domain of the function /(x) - 2.5x models is (A) OS XS 55.

This is because Alex cannot walk for more than 22 minutes to reach the store, and he cannot cover a distance of more than 22 minutes.

To know more about the domain, visit:

https://brainly.com/question/28599653

#SPJ11

The probability that Ken will use all the toothpaste in the tube is 7.64%.

From the given information,Mean, μ = 0.13 ounceStandard deviation, σ = 0.02 ounceNumber of times Ken brushes his teeth, n = 6.

The amount of toothpaste Ken squeezes out of the tube each time he brushes is independent and can be modeled by a Normal distribution.

From this information, we can obtain that:Mean of toothpaste used in 6 brushes = n × μ = 6 × 0.13 = 0.78 ounceStandard deviation of toothpaste used in 6 brushes = $\sqrt{n}$ × σ = $\sqrt{6}$ × 0.02 = 0.049 ounce.

To find the probability that Ken will use all the toothpaste in the tube, we need to calculate the probability of the amount of toothpaste used in 6 brushes being more than or equal to 0.85 ounce,
which is the total amount of toothpaste in the tube.P(X ≥ 0.85) = P( Z ≥ (0.85 - 0.78) / 0.049) = P(Z ≥ 1.43) = 1 - P(Z < 1.43)Using standard normal distribution table, we find the value of P(Z < 1.43) as 0.9236. Therefore,P(X ≥ 0.85) = 1 - P(Z < 1.43) = 1 - 0.9236 = 0.0764 or 7.64%.

The amount of toothpaste that Ken squeezes out each time he brushes is modeled by a normal distribution with mean 0.13 ounces and standard deviation 0.02 ounces.

The amount of toothpaste squeezed out at each brushing is independent of the previous amount of toothpaste squeezed out. We want to determine the probability that Ken will use all of the toothpaste in a 0.85-ounce tube if he brushes his teeth six times.

To do so, we first find the mean and standard deviation of the amount of toothpaste squeezed out in six brushes. If Ken brushes his teeth six times, then the mean amount of toothpaste squeezed out is nμ = 6(0.13) = 0.78 ounces. If the amount of toothpaste squeezed out at each brushing is independent, then the standard deviation of the amount of toothpaste squeezed out in six brushes is sqrt(6) * 0.02 = 0.049 ounces.

We now want to find the probability that Ken will use all of the toothpaste in the tube.

This is equivalent to finding the probability that the amount of toothpaste squeezed out in six brushes is greater than or equal to 0.85 ounces, which is the total amount of toothpaste in the tube.

If X is the amount of toothpaste squeezed out in six brushes, then we want to find P(X >= 0.85).We can standardize the distribution of X by subtracting the mean and dividing by the standard deviation.

Z = (X - μ) / σ is the standard normal random variable associated with X. In this case, Z has mean 0 and standard deviation 1. We want to find P(Z >= (0.85 - 0.78) / 0.049), which simplifies to P(Z >= 1.43). Using a standard normal distribution table, we can find P(Z < 1.43) = 0.9236. Therefore, P(Z >= 1.43) = 1 - P(Z < 1.43) = 1 - 0.9236 = 0.0764, or 7.64%.Therefore, the probability that Ken will use all the toothpaste in the tube is 7.64%.

Therefore, the probability that Ken will use all the toothpaste in the tube is 7.64%.

To know more about Normal distribution visit:

brainly.com/question/15103234

#SPJ11

Answer:

A. 3

Step-by-step explanation:

f(x) = 2x - 5

f(4) = 2(4) - 5

f(4) = 8 - 5

f(4) = 3

The probability of having a 2 on first roll, 3 on second roll and 4 on third roll is 1 / 216

A fair dice is a dice that is equally likely to land on any of its faces, meaning that each face has the same probability of facing up after a roll. The probability of getting a specific face on a fair dice is represented by the number of ways that face can appear divided by the total number of possible outcomes.

For a standard six-sided fair dice, the total number of possible outcomes is 6, since there are six faces on the dice. The probability of getting a specific face (for example, the number 4) is 1/6, because there is only one way to get that number out of the six possible outcomes.

The probability of landing 2 on first roll, 3 on second roll and 4 on third roll is given as;

P = (1/6 * 1/6 * 1/6)

P = 1 / 216

Learn more on probability of a fair dice here;

https://brainly.com/question/14192140

#SPJ1

As a result, there are no values associated with the local minimum or local maximum.

To find the saddle points, local minimum, and local maximum of the function f(x, y) = x^3 + 43 + 6x^2 – 6y^2 – 1, we need to calculate the critical points and analyze their nature using the second derivative test.

First, let's find the partial derivatives of f(x, y) with respect to x and y:

∂f/∂x = 3x^2 + 12x

∂f/∂y = -12y

Next, we need to find the critical points by setting the partial derivatives equal to zero and solving the resulting equations simultaneously:

3x^2 + 12x = 0 ... (1)

-12y = 0 ... (2)

From equation (2), we have y = 0. Substituting this into equation (1), we get:

3x^2 + 12x = 0

Factoring out 3x, we have:

3x(x + 4) = 0

This gives two possible solutions: x = 0 and x = -4.

So, we have two critical points: (0, 0) and (-4, 0).

Now, let's calculate the second partial derivatives:

∂²f/∂x² = 6x + 12

∂²f/∂y² = -12

The mixed partial derivative is:

∂²f/∂x∂y = 0

Now, we can evaluate the second derivative test at the critical points.

For the critical point (0, 0):

D = (∂²f/∂x²)(∂²f/∂y²) - (∂²f/∂x∂y)^2

= (6(0) + 12)(-12) - 0^2

= -144

Since D < 0, this critical point does not satisfy the conditions of the second derivative test, so it is not a local minimum or local maximum.

For the critical point (-4, 0):

D = (∂²f/∂x²)(∂²f/∂y²) - (∂²f/∂x∂y)^2

= (6(-4) + 12)(-12) - 0^2

= -288

Since D < 0, this critical point does not satisfy the conditions of the second derivative test, so it is not a local minimum or local maximum.

Therefore, there are no local minimums or local maximums for the function f(x, y) = x^3 + 43 + 6x^2 – 6y^2 – 1.

To know more about derivative visit:

brainly.com/question/29144258

#SPJ11

Answer:

Step-by-step explanation:

You're looking for where f(1) exists, not the limit as x approaches 1. So where f(1) exists is where the dark point is, not where the hole is. Therefore, f(1) = -6.

Answer:

In statistics, an outlier is a data point that differs significantly from other observations.

Step-by-step explanation:

Answer:

3x+12

Step-by-step explanation:

Apply the distribution law

3x+3*4

3x+12

Have a great day :)

The required equation of the tangent line is `y = -5x - 414`.

Given, the function `f(x)=−4x^(1/2) x−1−3` and the point `(4,−434)`.

To find the equation of the tangent line, we have to follow these steps:

Step 1: Find the derivative of the function `f(x)`

Step 2: Find the slope of the tangent line using the derivative of the function `f(x)`

Step 3: Use the slope of the tangent line and the point `(4,−434)` to find the equation of the tangent line

Step 1: Find the derivative of the function `f(x)`

Using the power rule, the derivative of `f(x)` is given by: `f'(x) = -2x^(-1/2) - 4`

Step 2: Find the slope of the tangent line

Substitute `x=4` in `f'(x)` to find the slope of the tangent line:`f'(4) = -2(4)^(-1/2) - 4``f'(4) = -2/2 - 4``f'(4) = -5`

So, the slope of the tangent line is `-5`.

Step 3: Use the slope of the tangent line and the point `(4,−434)` to find the equation of the tangent line have the point `(4,−434)` and the slope of the tangent line `-5`.

Therefore, the equation of the tangent line to the function `f(x)` at the point `(4,−434)` is given by:```
y - (-434) = -5(x - 4)
y + 434 = -5x + 20
y = -5x - 414

```The required equation of the tangent line is `y = -5x - 414`.

Know more about an equation here:

https://brainly.com/question/17145398

#SPJ11

There are 5 inches between the two picnic areas on the map. Therefore, option A is the correct answer.

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

The basic formula to find the scale factor of a figure is expressed as,

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

Given that, a map of a national forest has a scale in which 1 inch represents 3 miles.

If two picnic areas in the national forest are actually located 15 miles apart, then on map it is 15/3 =5 inches

Therefore, option A is the correct answer.

To learn more about the scale factor visit:

https://brainly.com/question/22312172.

#SPJ1

Answer:

x = 4

Step-by-step explanation:

Length = (4x + 3) feet

Width = (4x - 5 )feet  

Area = Length x Breadth

209 = (4x + 3)(4x - 5)

209 = 4x( 4x -5) + 3 (4x -5)

\(209 = 16x^2 -20x +12x -15\\\\0 = 16x^2 -8x -15 -209\\\\16x^2 -8x -224 = 0\)

\(Quadratic \ Equation \ with a = 16, b = -8, c = -224 \\\\x = \frac{-b \pm \sqrt{b^2 -4ac}}{2a}\\\\Substitute \ a, b, c \ in \ the \ equation.\\\\x = \frac{-b + \sqrt{b^2 -4ac}}{2a}, x =\frac{-b \ - \sqrt{b^2 -4ac}}{2a}\\\\x = \frac{8+ \sqrt{64 +14336}}{32}, x = \frac{8- \sqrt{64 +14336}}{32}\\\\x = \frac{8+ \sqrt{14400}}{32}, x = \frac{8-\sqrt{14400}}{32}\\\\x = \frac{8+120 }{32}, x= \frac{8-120}{32}\\\\x = \frac{128}{32} , x = \frac{-112}{32}\\\\x = 4 , x = \frac{-7}{2}\)

Since measure of length or width cannot be negative, we take x = 4

Answer:

r=-4

Step-by-step explanation:

use the slope formula

m=\(\frac{y_2-y_1}{x_2-x_1}\)

Then plug in x and y values and set that equal to m=1

1=\(\frac{-2-8}{r-6}\)

multiply r-6 over

r-6=-10

r=-4

Answer: Table 1: Answer = 1. 404

Table 3 Answer = 1.66

Step-by-step explanation: i hope it's right if not, tell me

To find the area of the region interior to r = 9 + 7sin(θ) below the polar axis, we can integrate the function from the lower bound of θ to the upper bound of θ and take the absolute value of the integral.

To find the area of the region formed by two petals of r = 8sin(3θ), we can integrate the function over the appropriate range of θ and take the absolute value of the integral. To find dy/dx for the given parametric equations x = t^(1/3) and y = 3 - t, we differentiate y with respect to t and x with respect to t and then divide dy/dt by dx/dt.

To find the area of the region interior to r = 9 + 7sin(θ) below the polar axis, we need to evaluate the integral ∫[lower bound to upper bound] |1/2 * r^2 * dθ|. In this case, the lower bound and upper bound of θ will depend on the range of values where the function is below the polar axis. By integrating the expression, we can find the area of the region. To find the area of the region formed by two petals of r = 8sin(3θ), we need to evaluate the integral ∫[lower bound to upper bound] |1/2 * r^2 * dθ|.

The lower bound and upper bound of θ will depend on the range of values where the function forms the desired shape. By integrating the expression, we can calculate the area of the region. To find dy/dx for the parametric equations x = t^(1/3) and y = 3 - t, we differentiate both equations with respect to t. Taking the derivative of y with respect to t gives dy/dt = -1, and differentiating x with respect to t gives dx/dt = (1/3) * t^(-2/3). Finally, we can find dy/dx by dividing dy/dt by dx/dt, resulting in dy/dx = -3 * t^(2/3).

Learn more about polar axis here: brainly.com/question/16425265

#SPJ11

Answer:

If x<0 then tan-1(1x) equals. check-circle. Answer. Step by step solution by experts to help you in doubt clearance & scoring excellent

Variability provides a quantitative measure of the differences between scores in a distribution and describes the degree to which the scores are spread out to clustered together. The purpose for measuring variability is to obtain an objective measure of how the scores are spread out in a distribution

Variability also measure how accurately individual score or sample represent the entire population

When the standard deviation is 0 , the scores have no variability.

Variability describes how far the data points are from each other and from the center of the distribution. In addition to measures of central tendency, measures of variability provide descriptive statistics that summarize the data.

learn more about variability here :
brainly.com/question/17344045

#SPJ4

Answer:

Step-by-step explanation:

x^2-2x

x(x-2)

Answer:

Presumably you want to factor this, as there is no full equation to solve.

In this case you can divide both terms by x, giving you:

x(x - 2).

If you want to factor it into binomials, that's easy enough, as this is very close to being a difference of squares:

(x + x√2)(x - x√2)

You could just factor x out of both terms as well, giving you

x(x - 2)

Answer:

If x = 2, then 4x = 8.

Step-by-step explanation:

If x = 2, then 4x = 8.

Answer:

i think it is the third option

Step-by-step explanation:

inverse= -p ---> -q

Answer:

r(-2) = -5 , r(0) = -7 , r(5) = -12

Step-by-step explanation:

Plug in the numbers for x and then solve. : )

r(-2) = - (-2) - 7

r(-2) = 2 -7

r(-2) = -5

r(0)= -0 -7

r(0)=0-7

r(0) = -7

r(5) = -5 - 7

r(5) = -12

The values of r(x) for x = - 2, 0 and 5 are obtained by Substituting the values for x in the function, hence the values are :

When x = - 2

When x = 0

When x = 5

Therefore, the required values are - 9, - 7 and - 2

Learn more :https://brainly.com/question/18109354

The amount each contestant will receive is as follows:

This year $52,000 college scholarship is being divided between the top two contestants .

Therefore,

Total amount to share to the top winners = 52000 dollars

The winner receives three times as much as the runner-up.

Therefore,

let

x = Amount received by the runner-up

Hence,

Amount the winner received = 3x

Therefore,

52,000 = 3x + x

52,000 = 4x

divide both sides by 4

4x / 4 = 52,000 / 4

x = 13000 dollars

Hence,

Amount the winner received =3(13000) = $39000

Amount received by the runner-up = $13,000

learn more amount in dollars here: https://brainly.com/question/26127040

#SPJ4

The measure of angle is the greatest of the angles in the triangle. The correct option is c. m ∠Q is the greatest of the interior angles

From the question, we are to determine the statement that is true about triangle PQR

From the given information,

"The perimeter of ΔPQR is 150 centimeters"

PQ = 54 centimeters

PR = 68 centimeters

First, we will determine the length of side QR

QR = 150 cm - (54 cm + 68 cm)

QR = 150 cm - 122 cm

QR = 28 cm

Now,

In a triangle, the angle facing the longest side is the largest angle and the angle facing the shortest side is the smallest angle.

Thus,

In ΔPQR

The angle facing side PR is angle Q

and

The angle facing side QR is angle P

Since PR is the longest side, angle Q is the greatest angle

and

Since QR is the shortest side, angle P is the smallest angle

Hence, m ∠Q is the greatest angle in the triangle.

Learn more on Determining the greatest or least angle in a triangle here: https://brainly.com/question/16932444

#SPJ1

Answer:

i think your answer would be x=4 y=-1

Step-by-step explanation:

Answer: \(13.34\ \text{miles}\)

Step-by-step explanation:

Given

First the person travels 13 mi west and then 3 mi due to south

The distance traveled by crow is represented by line BO

using Pythagoras theorem, we can write

\(\Rightarrow AO^2+AB^2=BO^2\\\Rightarrow BO^2=13^2+3^2\\\Rightarrow BO^2=178\\\Rightarrow BO=\sqrt{178}\\\Rightarrow BO=13.34\ \text{miles}\)

Answer:

2.645751311064591 (2.65 rounded to nearest hundredth)

Step-by-step explanation:

you take 7 and you try and find the closest number down to the furthest numbers. Or if you are using a calculator, you put 7, then you press the 2√x

4/5 of 60 is 48 then gimes by 2/5