5) At the Corelle Factory Outlet Store, all baking dishes are marked 30% off from the
original price. If the item stays in the store longer than one month, it is reduced
10% more off the sale price. What would be the price of a set of baking dishes
that stays on the shelf longer than a month and originally sold for $75?
75 (0.10) = $15
A
B
C
$35
$47.25
$52.25
D $53.75
(closest)
960

The numbers that are greater than -9 are 2.895, -8.92, 0.504, -2.9

What is a positive number?

A number can be zero, negative, or positive. Zero has no positive or bad aspects. The most frequent positive numbers in daily life include 34, 9.22, and other examples such as these. They are typically depicted on a number line to the right of zero, growing larger as you move to the right.

Given number is -9 which is a negative number.

All positive numbers are always greater a negative number

In the given number, the positive numbers are 2.895, 0.504.

Thus 2.895 and 0.504 are greater than -9.

The negative numbers whose absolute less than 9, they are also greater than -9.

The absolute value of -10.56, -8.92, -15.782, -2.9, -18.376 are

|-10.56| = 10.56 >9

|-8.92| = 8.92 <9

|-15.782| = 15.782 > 9

|-2.9| = 2.9 < 9

|-18.376| = 18.376 >9

Therefore -8.92 and -2.9 are also greater than -9.

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The correct statement according to the given equation is statement (D)"They have a single solution since they have various y-intercepts but the same slopes."

The relationship between two terms on either side of an equal sign is easily demonstrated using a simple equation.

Additionally, one or more of the four arithmetic operations that simple equations do include addition, fundamental arithmetic, multiplication, and division.

The three possible forms of the equation system are point-slope form, standard form, and slope-intercept form.

So, given equations:

y = 1/2 * x - 3

y = - 1/2 * x - 3

As we are aware, a line's slope-intercept form is:

y = m x + c  

Therefore, it is clear from equations 1 and 2 that:

m1 = 1/2 and c1 = -3

m2 = -1/2 and c2 = -3

Therefore, the correct statement according to the given equation is statement (D)"They have a single solution since they have various y-intercepts but the same slopes."

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Complete question:
A system of equations is given below. y=1/2x-3 and -1/2x-3. Which of the following statements best describes the two lines?

a. They have the same slope but different y-intercepts, so they have no solution.

b/. They have the same slope but different y-intercepts, so they have one solution.

c. They have different slopes but the same y-intercept, so they have no solution.

d. They have different slopes but the same y-intercept, so they have one solution.

Answer:4(x+3)

Step-by-step explanation:

8(x + 3)^2 /2(x + 3)

4(x+3)

Answer:

Step-by-step explanation:

Simplify

8(x + 3)^2 divided by 2(x + 3)

8·(x + 3)² : 2·(x + 3) =

8⋅(x²+6x+9):2⋅(x+3) =

(8x²+48x+72):2⋅(x+3) =

(4x²+24x+36)⋅(x+3) =

4x³+36x²+108x+108

The image of vertex A will be at point (2,-5).

What is are of triangle?

The territory included by a triangle's sides is referred to as its area. Depending on the length of the sides and the internal angles, a triangle's area changes from one triangle to another. Square units like m2, cm2, and in2 are used to express the area of a triangle.

The perimeter will be P = sum of all three side.

Point A is located at (2, 5), thus you look at the y-coordinate since you are reflecting it across the x-axis.

Given that it is five above the x-axis, you must travel five below it, or you can simply enter the opposite of five, which is -5.

So, A' is at (2, -5).

Hence, The image of vertex A will be at point (2,-5).

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The least square solution using svd matrix that has minimal norm is calculated using factorization .

What is Least Square Method ?

The least squares method is used in finding best fit for a set of data points by minimizing sum of offsets from plotted curve.

The SVD (Singular value decomposition) is a factorization of a real/complex matrix.

This technique is widely used to decompose a matrix into several component matrices, which exposes many of useful and interesting properties of original matrix.

The system of equation is Ax=b, we calculate the SVD of A by A=UΣVT. The matrices U , VT have a special property that they are unitary matrices.

The main benefits of having unitary matrices like U and VT is , if we multiply one of these by its transpose, the result equals the identity matrix.

Therefore , factorization is  used to find the least square solution .

The given question is incomplete , I answer the question in general according to my knowledge

Calculate least squares solution using svd a matrix has the singular value decomposition what is the solution to the least-squares problem that has minimal norm ?

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The expected difference under null hypothesis can be understood by the following :

The required null and alternate hypothesis will be

Null hypothesis :  H0 : μ=μ0

Alternate Hypothesis: H1 : μ<μ0

To determine whether there is a difference in the means of two populations, the z test formula compares the z statistic to the z critical value.

The z critical value in hypothesis testing divides the distribution graph into acceptance and rejection regions. The null hypothesis can be rejected if the test statistic falls within the rejection region; otherwise, it cannot be rejected.

The z test formula  to set up the required hypothesis tests for a one sample and a two-sample z test is

z = (( x−μ) /σ/√n  )x

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Applying the formula of the surface area of a box, the total amount of plastic wrapping needed to cover the box is: 697 cm².

The total surface area of a box is the sum of all the areas of the six faces of the box.

The area of each face can be found by multiplying the length by the width of that face.

The area of each face is given as:

Area = length * width.

To find the amount of plastic wrapping needed to cover the entire box, you first need to find the surface area of the box.

The surface area of the box is given by:

Surface area = 2(19 cm * 14 cm) + 2(19 cm * 1.5 cm) + 2(14 cm * 1.5 cm)

= 2(266 cm²) + 2(28.5 cm²) + 2(21 cm²)

= 532 cm² + 57 cm² + 42 cm²

= 631 cm²

To find the total amount of plastic wrapping needed to cover the box, you need to add the extra 66 cm² needed to allow for the overlapping at the edges.

This gives a total of 631 cm² + 66 cm² = 697 cm² of plastic wrapping needed to cover the box.

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Answer:

it travels 25 nautical miles per hour

Step-by-step explanation:

150 nautical miles in 6 hours

150 / 6 = 25

25 nautical miles per hour

Answer: I think it is 25 nautical miles in one hour

Step-by-step explanation:

all you need to do is 150 divided by 6 to get one hour and that is 25 (this might be wrong)

The solution set express the numbers between -5 and 5.

It is a mathematical model contains various elements such as numbers, variables, sign and so on arranged in a sequence order. Different set represents different expression.

The elements of a set that satisfy certain given conditions.

in the question, the set represent the numbers which are > -5 and < 5.

hence, the set indicate the numbers between -5 and 5

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(x -1)2 = y - 4 is the vertex form of the equation Y = X² - 2x + 5.

A quadratic function has the vertex form f(x) = a(x - h)2 + k, where a, h, and k are constants.

Obtain the equation y = ax2 + bx + c.

Determine -b / 2A.

The vertex's x-coordinate is given here.

Simply enter the value of -b / 2a into the equation for x and solve for y to obtain the vertex's y-coordinate.

The vertex's y-coordinate is given here.

So, we have the equation:

Y = X² - 2x + 5

Now, calculate as follows:

⇒ y = (x2 - 2x + 1) + 5 -1

⇒ y - 4 = (x -1)2

⇒ (x -1)2 = y - 4

Therefore, (x -1)2 = y - 4 is the vertex form of the equation Y = X² - 2x + 5.

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Answer:

no solution

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

8 numbers summed and divided by 8 = 41

8numberssummed  / 8 = 41

8numberssummed = 41 * 8 = 328

now taking out two numbers whose mean is 29 is the same as taking out two 29's from the sum ....so now there are SIX numbers

  6numberssummed = 8numberssummed - 29 -29

                                   =   328    -29 -29 = 270

  so to find the mean of the remaining six numbers:

     6numberssummed / 6    is        270/6 = 45

Answer:

mean = 45

Step-by-step explanation:

mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

given the mean of 8 numbers is 41 , then

[tex]\frac{sum_{8} }{8}[/tex] = 41 ( multiply both sides by 8 )

sum₈ = 328

given the mean of 2 of the numbers is 29 , then

[tex]\frac{sum_{2} }{2}[/tex] = 29 ( multiply both sides by 2 )

sum₂ = 58

Then

sum₆ = sum₈ - sum₂ = 328 - 58 = 270

then the mean of the other six numbers is

mean = [tex]\frac{sum_{6} }{6}[/tex] = [tex]\frac{270}{6}[/tex] = 45

The difference in percentages is practically significant but whether or not it is statistically significant cannot be determined.

Here, we are given that 13.4% of the population in the US lived in the West in 1950 and 22.5% in 2000.

Thus, the difference in percentage = 22.5 - 13.4 = 9.1%

We observe that the difference is large, this means that the difference in percentages is practically significant.

Now, to determine whether the difference is statistically significant it is appropriate to conduct a two-sample z-test and it is only appropriate to conduct the test of significance when the samples are simple random samples.

In this case, the samples are not simple random samples, because the data given contains information on all individuals in the population. Moreover, it is not appropriate to determine whether the difference in percentages is statistically significant as the samples are not probability samples.

Thus, the difference in percentages is practically significant but whether or not it is statistically significant cannot be determined.

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Answer:

Step-by-step explanation:

x^2 - 3x + 2x - 6

x^2 - x - 6

The value of interquartile range (IQR) of the data set which is plotted in the dot plot 0 2 4 6 8 10 12 is 6

What is the interquartile range (IQR) of the data?

The interquartile range (IQR) of the data is the middle half of the data, which contains 2nd and 3rd quartiles.

Interquartile range is the difference of third quartile and first quartile.

IQR = Q₃ - Q₁

According to the given question:

In the dot plot below, the data is given as,

0 2 4 6 8 10 12

The first quartile is the medium of the lower half, while the third quartile is the medium of the upper half. For the above data,

Q1 = 3

Q3 = 9

Thus, Interquartile range is,

IQR = Q₃ - Q₁

IQR = 9 - 3

IQR = 6

Hence, the value of interquartile range (IQR) of the data set which is plotted in the dot plot 0 2 4 6 8 10 12 is 6

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Answer:

the right answer is

1,2/9

The partial fraction decomposition of the expression with repeated factors is given as follows:

[tex]\frac{1}{x} - \frac{2}{x + 4} - \frac{1}{(x + 4)^2}[/tex]

The function in this problem is defined as follows:

(-x² - x - 16)/(x³ + 8x² + 16x).

The decomposition is made considering the factors of the denominator, which are obtained as follows:

x³ + 8x² + 16x = 0.

x(x² + 8x + 16) = 9

x(x + 4)² = 0.

Hence the denominators are as follows:

Then the decomposition is of:

A/x + B/(x + 4) + C/(x + 4)²

Then the expression will be given as follows:

[tex]\frac{A(x + 4)^2 + Bx(x + 4) + Cx}{x^3 + 8x^2 + 16x} = \frac{-x^2-x+16}{x^3 + 8x^2 + 16x}[/tex]

Then the system of equations, equaling the numerators, is given as follows:

Hence:

16A = 16

A = 1.

B = -1 - A

B = -2.

C = -1 - 8A - 4B

C = -1.

Meaning that the third option is correct.

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Answer:

3 x - y = 6

Step-by-step explanation:

the equation of a line is

ax + by = c

express the slope initially in the form of y=mx+b

b is the y- intercept (the point where it crosses the y axis)

m is basically the slope, to find m, you have to use a specific formula...

m = (y2 – y1) / (x2 – x1)

(x1, y1) (x2, y2) are 2 coordinate points...

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

m = -3 -3 divided by 1 - 3 =  -6/-2 =  3

so your formula for now is .. y = 3x + b (you dont know what b is yet)

Now, substitute the points into the equation.

3 = 9 + b.  b = -6

final formula is,

Y=3x -6

u can also rearrange the formula in a standard form:

3x - y = 6

I REALLY HOPE THIS HELPS U!!

Answer: 96

Step-by-step explanation:

The easy way to do this is to start backward. The last step she did before she got 10.5 as her answer was dividing her answer by 2.

So we can just multiply 10.5 by 2 to reverse the last step.

After doing that we get 21. The step Lara did before dividing by 2 was subtracting 11.

So we can just add 11 to 21 to reverse this step.

After doing that we get 32. The step Lara did before subtracting 11 was dividing by 3.

So we can just multiply 32 by 3 to reverse this step.

After doing that we get 96. So the number that Lara started with is 96.

The value of (1 + i)^8 is 16. De Moivre's describes how the power of a complex number can be calculated using the properties of its modulus and argument.

De Moivre's theorem states that for any complex number z = r * (cos(θ) + i * sin(θ)) and any integer n, we have:

zⁿ = rⁿ * (cos(n * θ) + i * sin(n * θ))

To use this theorem, we need to first express the complex number (1 + i) in terms of its magnitude and angle. We can do this by using the Pythagorean theorem to find the magnitude of the complex number, which is the square root of the sum of the squares of the real and imaginary parts.

In this case, the magnitude is the square root of 1^2 + 1^2, or √2.

The angle of the complex number can be found using the inverse tangent function. In this case, the angle is 45 degrees, since the tangent of 45 degrees is 1. Now that we have the magnitude and angle of the complex number, we can use De Moivre's theorem to find the value of (1 + i)^8. Substituting the values we found into the formula above, we get:

(1 + i)^8 = √2^8 * (cos(8 * 45) + i * sin(8 * 45))

        = 2^4 * (cos(360) + i * sin(360))

        = 16 * (1 + i * 0)

        = 16

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The point estimate of the population is 0.415 round to the nearest thousandth as needed the margin error is 0.189.

In statistics, for point estimation, an unknown population parameter (e.g. population mean). More formally, it is applying a point estimator to data to obtain a point estimate.

Point estimation can be contrasted with interval estimation. Such interval estimates are usually confidence intervals for frequentist inference and confidence intervals for Bayesian inference. More generally, point estimators can be contrasted with set estimators. An example is the confidence rate or confidence rate. Point estimators can also be contrasted with distribution estimators. Examples include confidence distributions, randomized estimators, and Bayesian posterior distributions.

Based on the question,

The confidence  interval of Lower bound is 0.226.

The confidence interval of Upper bound is 0.604.

X - E = 0.226.                     --------------------------- (1)

X + E = 0.604                     ---------------------------(2)

Adding equation (1) and (2),

    2X = 0.83

⇒  X = 0.83/2

⇒ X = 0.415

Putting X = 0.415 in equation (1),

0.415 + E = 0.604

⇒ E = 0.604 - 0.415

⇒ E = 0.189

Thus, the point estimate of the population is 0.415 round to the nearest thousandth as needed the margin error is 0.189.

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The value of the given function f (x) is 10

[tex]f (x) = \left \{ {{2 \text{ for x} < 3} \atop {x- 1 \text { for x } \geq 3} \right. \\\\[/tex]

Integrating the given functions,

[tex]\int\limits^5_1 {f(x)dx = \int\limits^3_1 2dx + \int\limits^5_3 (x- 1)dx[/tex]

[tex]\int\limits^5_1 {f(x)dx =2x + [\frac{x^{2}} {2} - x][/tex]

Applying the limits,

[tex]\int\limits^5_1 {f(x)dx =[2(3)-2(1)]+ [\frac{5^{2}} {2} - 5-\frac{3^{2}} {2} + 3][/tex]

[tex]\int\limits^5_1 {f(x)dx =[6- 2]+ [\frac{25} {2} - 5-\frac{9} {2} + 3][/tex]

[tex]\int\limits^5_1 {f(x)dx = 4 + 6[/tex]

[tex]\int\limits^5_1 {f(x)dx = 10[/tex]

The value of the given function on integrating using the limits is 10

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Answer: 8.6 miles

Step-by-step explanation:

Takes 21 divided by 3 = 1 mile in 7 minute

Then take 60 divided by 7 = 8.57

ground to nearest tenth = 8.6 miles

Answer:

6

Step-by-step explanation:

it is a8=a1 +(n-1)x d

41=-1+ 7xd

42/7=d

d=6

Answer: 6

Step-by-step explanation:

[tex]a_1=-1\ \ \ \ \ \ \ \ a_8=41\ \ \ \ \ \ \ \ d=?\\\\\boxed{a_n=a_1+d(n-1)}\\\\Hence,\\\\a_8=-1+d(8-1)\\\\41=-1+7d\\\\41+1=-1+7d+1\\\\42=7d\\\\[/tex]

Divide both parts of the equation by 7:

6=d

Thus, d=6

The time required = 4 hours

The time required by the car to move at a speed of 50 mph to reach a distance of 200 miles is 4 hours

What is Speed?

Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude

Speed = Distance / Time

Given data ,

Let the distance traveled by the car be = D

Now , the speed S of the car = 40 miles per hour

The time required by the car to travel D distance is T = 5 hours

So , the Distance D is calculated from the formula

Distance D = Speed S x Time T

So , substituting the values in the equation , we get

Distance D = 40 x 5

Distance D = 200 miles

Now , the distance traveled by the car remains the constant

The speed of the car is S = 50 miles per hour

And let the time taken by the car to cover 200 miles at 50 mph be = T

Now to calculate Time T ,

Time T = Distance D / Speed S

Substituting the values in the equation , we get

Time T = 200 / 50

Time T = 4 hours

Therefore , the value of T is 4 hours

Hence , The time required by the car to move at a speed of 50 mph to reach a distance of 200 miles is 4 hours

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Congestion management allows for more efficient use of a shared network infrastructure by managing the flow of data packets into the network.

Additive increase and additive decrease (AIAD) This is the policy which follows the below rule

a(i)>0, b(i) =1, a(d)<0 b(d)=1

This policy doesn't converge to fairness which means that it is not stable.

Moreover, this doesn't converges to efficiency and if it is need to be stable then it must satisfy the condition a(d) = a(i)

Multiplicative increase and additive decrease (MIAD) This is the policy which follows the rule of a(i) =0, b(i) >1, a(d)<0, b(d)=1

This policy doesn't converge to fairness which means that it is not stable.

Moreover, this doesn't converges to efficiency and if it is need to be stable then it must satisfy the condition b(i)a(d)/ 1- b(i)

Multiplicative increase multiplicative decrease (MIMD) This is the policy which follows the below rule a(i) =0 , b(i) >1 , a(d)=0, 0<b(d)<1

This policy doesn't converge to fairness which means that it is not stable.

Moreover, this doesn't converges to efficiency and if it is need to be stable then it must satisfy the condition b(i)≥ 1 and 0≤ b(d)<1.

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The area of the triangle formed by the birdbath, bird feeder and the birdhouse is 15 squared units

Given: the birdbath is at (2,2), the bird feeder is at (8,2), and the birdhouse is at (5,7)

(Consider the image attached)

The distance between the points can be calculated using the formula:

d=√((x2 – x1)² + (y2 – y1)²)

birdbath (5,7) and birdhouse (2,2)

d=√((2 – 5)² + (2 – 7)²) = √34

bird feeder (8, 2) and birdhouse (2,2)

d=√((2 – 8)² + (2 – 2)²) = 6

birdbath (5,7) and bird feeder (8,2)

d=√((8 – 5)² + (2 – 7)²) = √34

The height of the triangle is:

h = √((√34)²-3²) = 5

Area of triangle = 1/2 × base × h

Area of triangle = 1/2 × 6 × 5 = 15 squared units

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1. The weight for 18 tablespoons is 1127.32 grams.

2. The number of tablespoons of the liquid noah needs to add so that the total weight is 1,200 grams is 23 tablespoon.

It's vital to note that an equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

From the information, Noah placed an empty bowl on a scale and the equation is given as:.

y = 14.75x + 861.82

x = the amount of the liquid, in tablespoons

y = the total weight

The weight for 18 tablespoons will be:

y = 14.75x + 861.82

y = 14.75(18) + 861.82

y = 1127.32

The liquid that Noah needs to add so that the total weight is 1,200 gram will be:

y = 14.75x + 861.82

14.75x + 861.82 = 1200

Collect like terms

14.75x = 1200 - 861.82

14.75x = 338.18

Divide

x = 138.18 / 14.75

x = 23

The tablespoons is 23.

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Answer:

.321× 50

000

+ 1605X

therefore answer is 1.605