What is the sale price on a pair of jeans that was originally priced at $29.95 if tHe discount waS 20%?

The fourth vertex's coordinates are as follows: ( 2.1, -3.6)

A coordinate system in geometry is a method for determining the precise location of points or other geometrical objects on a manifold, such as Euclidean space, using one or more numbers, or coordinates.

So, let the missing coordinates be (a,b).

Let's now utilize the midpoint formula to locate the erroneous coordinate.

Let the reference point be (-2.3, 3.6) A.

Let point B be (2.3, 2.2).

(2.1, 2.2) Let C be the point.

The center of AC should be at BD.

Step 1: Locating the AC's midpoint

Middle pint of AC:

(-2.3 + 2.1/2), (-3.6 + 2.2/2)

(0.2/2), (1.4/2)

(-0.1, -0.7)

Let's equate the midpoints in step two.

The BD mid-point:

(a + -2.3/2), (b + 2.2/2) =  (-0.1, -0.7)

(a + -2.3/2) = -0.1

(a -2.3/2) = -0.1*2

a = -0.2+2.3

a = 2.1

(b + 2.2/2) = -0.7

b + 2.2 = -0.7*2

b + 2.2 = -1.4

b = -1.4 -2.2

b = -3.6

Therefore, the fourth vertex's coordinates are as follows: ( 2.1, -3.6)

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Complete question:

Freddy drew a plan for a rectangular piece of material that hehe will use for a blanket. Three of the vertices are ​( -2.3 and −3.6​), ​(−2.3​, and 2.2​), and ​(2.1​, and 2.2​). What are the coordinates of the fourth​ vertex?

It is not necessary that the function decreasing over a given interval always be negative.

A function f(x) (value) decreases as x increases.

This does not mean that value of f(x) is negative.

It can have positive number as range.

Answer:

No

Explanation:

Firstly, observe the function f(x)=-2^x, this function is decreasing and negative (below the x-axis) over its domain.

At the same time, consider the function h(x)=1-x² over the interval 0 ≤ x≤1. this function is decreasing over the said interval. However, it is not negative.

Therefore, a function doesn´t need to be negative over the interval it is decreasing on.

------------------------

Hope it helps...

Have a great day!!

Answer:

Hope it helps.

Step-by-step explanation:

An arc of a circle is a "portion" of the circumference of the circle. The length of an arc is simply the length of its "portion" of the circumference. The circumference itself can be considered a full circle arc length. ... the angle subtends, s, divided by the radius of the circle, r.

A circle is a two-dimensional figure with a radius and circumference of 2 x pi x r.

If the angle of the portion of the arc length = M°

The arc length of M°.

= (M°/360) x 2πr

The circumference of a circle is the total arc length of the circle.

A circle is a two-dimensional figure with a radius and circumference of 2 x pi x r.

The area of a circle is given as πr².

The circumference of a circle is 2πr.

We have,

Arc length of a circle:

The arc length is the total length of the circumference of a circle

Circumference of a circle:

The circumference of a circle is the total arc length of the circle.

If we want to find the arc length of a part of the circle we use the formula as:

If the angle of the portion of the arc length = M°

The arc length of M°.

= (M°/360) x 2πr

Thus,

The circumference of a circle is the total arc length of the circle.

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The expression for the term of the sequence 72 109 146 183 is  72 + 37(n - 1)

From the question, we have the following parameters that can be used in our computation:

72 109 146 183

In the above sequence, we can see that 37 is added to the previous term to get the new term

This means that

First term, a = 72

Common difference, d = 37

The nth term is then represented as

f(n) = a + (n - 1) * d

Substitute the known values in the above equation, so, we have the following representation

f(n) = 72 + 37(n - 1)

Hence, the explicit rule is f(n) = 72 + 37(n - 1)

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The value of sin 2θ is 120/169, for the given value of cosine θ = 5/13, which is obtained using the Pythagorean-identity.

We know that :sin²θ + cos²θ = 1.

Using this identity, we can solve for sin θ as follows:

cos θ = 5/13

sin²θ + cos²θ = 1

We are to calculate trigonometric ratio sine 2θ.

We know that sin 2θ = 2 sin θ cos θ.

To calculate sin θ, we will use the Pythagorean identity,

sin²θ + cos²θ = 1

Since  trigonometric ratio cos θ = 5/13,

sin θ = √(1 - cos²θ)

        = √(1 - 25/169)

        = √(144/169)

         = 12/13

Therefore,sin 2θ = 2 sin θ cos θ

                           = 2 × (12/13) × (5/13)

                            = 120/169

Therefore, the value of sin 2θ is 120/169.

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Answer:

x = 6

Step-by-step explanation:

-2x/3 + 9 = 4x/3 - 3

=> 3 + 9 = 6x/3

=> 12 = 2x

=> x = 6

Hoped this helped.

According to the given information, the upper and lower control limits for the mean and range are 14.216 and 1.784 respectively.

It is given to us that -

The overall average of filling process = 700 cc

The average range = 8 cc

The available sample size = 10

We have to find out the upper and lower control limits for the mean and range.

The sample size, N=10

\(UCL_{x}\) = X(double bar) + \(A_{2}R\)

= 700 + 0.308 (8)

= 702.464

=> \(UCL_{x}\) = 702.464

\(LCL_{x}\) = X(double bar) + \(A_{2}R\)

= 700 - 0.308 (8)

= 697.536LCLx

=697.536

=> \(LCL_{x}\) = 697.536

\(UCL_{R} = D_{4} R_{bar}\)

= =1.777 x 8

= 14.216

=> \(UCL_{R} = 14.216\)

\(LCL_{R} = D_{3} R_{bar}\)

=0.223 x 8

= 1.784

=> \(LCL_{R} = 1.784\)

Thus, we conclude that the upper and lower control limits for the mean and range are 14.216 and 1.784 respectively.

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Answer:

61/82

Step-by-step explanation:

The answer is already reduced.

Answer:

61/82 its as low as possible

Step-by-step explanation:

I got it right

Answer:

.2 Cm

Step-by-step explanation:

1728 three-letter code words can be constructed from the first twelve letters of the Greek alphabet if repetitions is allowed

Repetition: The act of repeating, or doing, saying, or writing something again; repeated action, performance, production, or presentation. repeated utterance; reiteration. something made by or resulting from repeating.

it is asked to find how many three-letter code words can be constructed from the first twelve letters of the Greek alphabet if repetitions is allowed

if repetitions are allowed then there is chance for every alphabet to repeat

i.e., 12x12x12=1728

1728 three-letter code words can be constructed from the first twelve letters of the Greek alphabet if repetitions is allowed

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Answer:

5.928 liters

Step-by-step explanation:

about 6 liters

Answer:

5.928

Step-by-step explanation:

1,000 Milliliters = 1 Liter

5,928/1,000 = 5.928

5.928 Liters

Answer:

1) AD = 9 in

2) DE = 9.25 in

3) ∠EDC = 36°

4) ∠AEB = 108°

5) 11.5 in

Step-by-step explanation:

1) AD = BC = 9in

2) AC = BD (diagonals are equal)

⇒ BD = 14.25

⇒ BE + DE = 14.25

⇒ 5 + DE = 14.25

DE = 9.25

3) Since AB ║CD,

∠ABE = ∠EDC = 36°

4) ∠ABE = ∠BAE = 36°

Also ∠ABE + ∠BAE + ∠AEB = 180 (traingle ABE)

⇒ 36 + 36 + ∠AEB = 180

∠AEB = 108

5) midsegment = (AB + CD)/2

= (8 + 15)/2

11.5

Answer:

x = 135

Step-by-step explanation:

Cross multiply (Multiplicacao cruzada)

\(\frac{30}{x}=\frac{2}{9}\)

2x = 270

(Now just divide both sides by X) So dividir os 2 lados por 2x

x = 135

Ace

The correct option is B, the system has no solutions.

To find the solutions of a system of inequalities on a graph, what we need to look for is the region where the two shaded areas intercept.

Here we can see that there is no intercept, we have 3 clearly defined regions, one is the solution of the bottom inequality A, in B we don't have any solutions, and C is the solution region for the top inequality.

But there is no solution for the system, then the correct option is B.

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The z-score when x=108 is 3.1034. The z-score tells you that x=108 is 3.1034 standard deviations to the left of the mean.

Z-score is used in statistics to compare a score to a normal distribution. The z-score is a measure of how far away from the mean a value is in standard deviation units.

To find the z-score when x = 108, we use the formula:

z = (x - μ) / σ

where x = 108, μ = 153, and σ = 14.5.

Substituting these values, we get:

z = (108 - 153) / 14.5 = -3.1034

So the z-score when x = 108 is -3.1034.

The z-score tells us how many standard deviations away from the mean a particular value is. In this case, since the z-score is negative, we know that x = 108 is to the left of the mean.

The absolute value of the z-score tells us how many standard deviations away from the mean the value is. In this case, the absolute value of the z-score is approximately 3.1034, which means that x = 108 is approximately 3.1034 standard deviations to the left of the mean.

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Answer:

THE ANSWER IS -13

Step-by-step explanation:

YOU REPLACE THE -6 In THE given function as follows

g(x)=3x+5

g(-6)=3(-6)+5

g(-6)=-18+5

g(-6)=-13

Standard error of the mean is 0.05267 in (a). The actual mean degradation rate has a 90% probability of being between 0.978 and 1.174 micromoles/minute/gram, according to (b).

The group mean's likelihood to vary from a sampling distribution is indicated by the standard deviation of a mean, or merely standard error. It reveals how much is the sample imply would change if a research were to be repeated with fresh samples drawn from a particular population.

(a)

Sample size, n = 9

Sample standard deviation, S = 0.158

Standard error of the mean,

\(\sigma_{\bar{x}}=\frac{S}{\sqrt{n}}=\frac{0.158}{\sqrt{9}}=0.05267\)

(b)

Since we do not know the distribution of the parent population or the population standard deviation, and further the sample size, n = 8 < 30,

Therefore we will use the t-distribution to construct the confidence interval for the true population mean α

Sample size, n = 9

Sample mean, r  = 1.076

Sample standard deviation, S = 0.158

Standard error of the mean,

\(\sigma_{\bar{x}}=\frac{S}{\sqrt{n}}=\frac{0.158}{\sqrt{9}}=0.05267\)

Level of confidence, c (in percentage) = 90

α = (1-(c/100) = 0.1

Degrees of freedom, df = n-1 = 9 - 1 = 8

The critical t-score, \(\mathrm{t}_{\mathrm{c}}\) is the

t-score corresponds to the given level of confidence and degrees of freedom :

\(\begin{aligned}& P\left(x > t_{d f}\right)=\Rightarrow / 2 \\& \Rightarrow \\& P\left(x > t_8\right)=0.1 / 2=0.05 \\& \Rightarrow t_c=1.86\end{aligned}\)

The confidence interval is calculated as:

\(\mathrm{Cl}=\bar{x} \pm\left(\mathrm{t}_{\mathrm{c}}\right)^*\left(\sigma_{\bar{x}}\right)\)

= 1.076 ± (1.86)*(0.05267)

= 1.076±  0.098

= (1.076 - 0.098, 1.076 + 0.098)

= (0.978, 1.174)

The actual mean degradation rate has a 90% probability of being between 0.978 and 1.174 micromoles/minute/gram, according to this information.

The mean degradation rate must be higher than 1 for the process to be cost-effective.

However, because the 90% confidence interval does not completely fall above 1, the experts cannot be certain that the process will be cost-effective.

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Answer:-5

Step-by-step explanation:

Answer:

--------------

Use the sum of the first n terms formula:

We are given:

First, let's find n using the nth term formula:

Now, we can find the sum using the formula:

The sum of the geometric series is 186.

Answer: 8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:

In geometry, an obtuse scalene triangle can be defined as a triangle whose one of the angles measures greater than 90 degrees but less than 180 degrees and the other two angles are less than 90 degrees.

The grapefruit's volume is approximately 1097.4 cubic centimeters.

The volume of sphere is the capacity it has. It is the space occupied by the sphere. The volume of sphere is measured in cubic units, such as m3, cm3, in3, etc. The shape of the sphere is round and three-dimensional. It has three axes as x-axis, y-axis and z-axis which defines its shape.

To find the volume of a sphere, we can use the formula:

\(V = (4/3) * π * r^3\)

where V represents the volume and r represents the radius of the sphere.

In this case, Chase measured the radius of the grapefruit as 6.4 cm. Plugging this value into the formula, we have:

V = (4/3) * π * \((6.4 cm)^3\)

V = (4/3) * π * \((262.144 cm^3)\)

V ≈ \(1097.445 cm^3\)

Rounding this value to the nearest tenth, the grapefruit's volume is approximately 1097.4 cubic centimeters.

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Answer:

₹1680

Step-by-step explanation:

Road  Length (m)  Width (m)   Area (\(m^{2}\))

  1            80              10              800

  2           60              10               600

(800+600) = 1400 (\(m^{2}\))

1400 (\(m^{2}\))*(₹ 1.20/m) = ₹1680

The equation of the quadratic function that models the data is y = x^2 + 3x + 4

A quadratic function is represented as:

y = ax^2  +bx + c

Next, we enter the data values on the table to a graphing calculator.

From the graphing calculator, we have:

a = 1, b = 3 and c = 4

Substitute these values in y = ax^2  +bx + c

So, we have

y  = x^2 + 3x + 4

Hence, the equation of the quadratic function that models the data is y = x^2 + 3x + 4 and the scatter plot is (a)

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Answer:

16. 9 is greater than 16. 59 because the . 9 means . 90 which is greater or bigger that 16.59

Step-by-step explanation:

The other numbers are less than 16. 59

Answer:

16.9

Step-by-step explanation:

16.9 is the same thing as 16.90. 16.90 > 16.59.

The change in kinetic energy for the airplane is approximately 9.43 kJ, and the change in potential energy is approximately -7.67 MJ.

First, we need to convert the given values from English units to SI units.

Weight of the airplane: 175,000 lbs = 175,000 * 0.4536 kg ≈ 79,378.4 kg

Cruising speed: 550 mph = 550 * 0.447 m/s ≈ 246.15 m/s

Altitude: 30,000 ft = 30,000 * 0.3048 m ≈ 9,144 m

To calculate the change in kinetic energy, we use the formula:

ΔKE = 0.5 * m * (v² - u²)

where m is the mass of the airplane, v is the final velocity, and u is the initial velocity.

ΔKE = 0.5 * 79,378.4 * (246.15² - 0²)

ΔKE ≈ 9,432,850.26 J ≈ 9.43 kJ

To calculate the change in potential energy, we use the formula:

ΔPE = m * g * h

where m is the mass, g is the acceleration due to gravity, and h is the change in height.

ΔPE = 79,378.4 * 9.8 * (-9,144)

ΔPE ≈ - 7,669,498,339.2 J ≈ -7,669.50 kJ ≈ -7.67 MJ

Therefore, the change in kinetic energy for the airplane is approximately 9.43 kJ, and the change in potential energy is approximately -7.67 MJ.

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Answer:

Step-by-step explanation:

Addition property is used in an equation when the same value is added to both sides of the equation to simplify such equation.

Given the equation 2y-40=-18 to simplify the equation further we need to first add 40 to both sides of the equation thereby justifying the addition property as shown;

2y-40 + 40 =-18+40

2y = 40-18

2y = 22

We will also apply the division property here. Division property is used when both sides of an equation is divided by a number without affecting the equality rule.

Dividing the resulting equation by 2:

2y/2 = 22/2

y = 11

Hence the justification for the equation 2y-40=-18 are both adition and division property.

Answer:

y = 7x - 1 is the answer to the question

The linear regression analysis reveals that the equation for the linear function that best fits the given data is y = 21.24x + 75.69.

Linear regression is a statistical technique used to find the best-fitting line that represents the relationship between two variables. In this case, we have a set of data points with x-values (1, 2, 3, 4, 5, 6) and corresponding y-values (88, 106, 127, 134, 161, 164). By performing linear regression on this data, we can determine the equation of the line that best represents the relationship between x and y.

The linear regression analysis yields the equation y = mx + b, where m represents the slope of the line and b represents the y-intercept. Using the given data, the linear regression analysis calculates the slope to be approximately 21.24 and the y-intercept to be approximately 75.69. Rounding both numbers to two decimal places, the equation for the linear function that best fits the data is y = 21.24x + 75.69.

This equation can be used to predict the value of y (dependent variable) for any given x (independent variable) within the range of the data. It represents a straight line that provides the best approximation of the relationship between the given x and y values.

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Answer:

I think the answer is (-3,1)