find the coordinate P (-3,-7) and Q (3,-5)

Answer:

-18

Step-by-step explanation:

10-(-2)=12

12-11=1

1-19=-18

The prediction that Lucas can make about the next shipment of ornaments is that H. A delivery of 6 boxes will contain 6 more broken ornaments than a delivery of 3 boxes.

It should be noted that a word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.

In this case, since the department store receives a shipment of 3 boxes of glass ornaments and there are 25 ornaments in each box.

Lucas then opens the boxes and finds that 6 of the ornaments are broken. This implies that there are 2 broken for each box.

In this case, a delivery of 6 boxes will contain 6 more broken ornaments than a delivery of 3 boxes.

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Step-by-step explanation:

7.

\(7 + \frac{m}{8} = - 2 \\ \frac{m}{8} = - 2 - 7 \\ \frac{m}{8} = - 9 \\ m = - 9 \times 8 \\ = - 72\)

8.

\( \frac{ - 1}{5} k + 1 = 11 \\ \frac{ - k}{5} + 1 = 11 \\ \frac{ - k}{5} = 11 - 1 \\ \frac{ - k}{5} = 10 \\ - k = 10 \times 5 \\ - k = 50 \\ k = - (50) \\ = - 50\)

9.

\( - 6 + \frac{1}{3} w = 0 \\ \frac{1}{3} w = 0 + 6 \\ \frac{1}{3} w = 6 \\ w = 6 \div \frac{1}{3} \\ = 6 \times 3 \\ = 18\)

Answer:

1.{2,8}

Step-by-step explanation:

that's my answer

Answer :

1. { 2, 8 }

x² - 10x + 16 = 0

x² - 2x - 8x + 16 = 0

x ( x - 2 ) - 8 ( x - 2 ) = 0

( x - 2 ) ( x - 8 ) = 0

x - 2 = 0

x = 2

x - 8 = 0

x = 8

Therefore,

the solution to the equation x² - 10x + 16 = 0 is { 2, 8 }.

The shape of the graph changes qualitatively at k = ± 2 and

\(k=\sqrt{(2)\).

The given function is f(x,y) = y-x²+y²+kxy.

The critical points of the function are found by taking the partial derivatives and equating them to zero:

∂f/∂x = -2x + ky = 0

y = 2x/k

∂f/∂y = 2y + kx = 0

y = -kx/2

Substituting y from the first equation into the second equation gives

x = k²x/4, so k² = 4 and k = ± 2.

Therefore, the critical points are (0,0), (2,4), and (-2,4)

We will now examine the critical points to see when the shape of the graph changes qualitatively.

There are two cases to consider:

Case 1: (0,0)At (0,0), the Hessian matrix is

H = [∂²f/∂x² ∂²f/∂x∂y;∂²f/∂y∂x ∂²f/∂y²]

=[ -2 0;0 2].

The determinant of the Hessian matrix is -4, which is negative.

Therefore, (0,0) is a saddle point and the graph changes qualitatively as k increases for all values of k.

Case 2: (±2,4)At (2,4) and (-2,4), the Hessian matrix is

H = [∂²f/∂x² ∂²f/∂x∂y;∂²f/∂y∂x ∂²f/∂y²]

=[ -2k 2k;2k 2].

The determinant of the Hessian matrix is 4k²+8, which is positive when k is greater than √(2).

Therefore, the critical points (2,4) and (-2,4) are local minima when

k > √(2).

Thus, the shape of the graph changes qualitatively at k = ± 2 and

k = √(2).

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Answer:

Option 1        y = 210 - 7x  

Step-by-step explanation:

Since she will be buying "x" amount of books she will lose money because she has to pay for them. Each book costs $7 so if she buys "x" books she will lose 7x dollars. Therefore the right equation would be...

y = 210 - 7x          (which is the first option)

Step-by-step explanation:

First, find the slope from the first 2 points, then use the value of the slope and either one of the first 2 points to find y in the 3rd point.

m = (8 - 4)/(3 - 1) = 4/2 = 2

2 = (y - 4)/(6 - 1)

The amount of antifreeze that a radiator can hold depends on the size of the radiator.

Radiators come in different sizes and capacities, and the amount of antifreeze that a radiator can hold can range from less than a gallon to several gallons. In order to determine the exact amount of antifreeze that a particular radiator can hold, you would need to consult the manufacturer's specifications for that radiator or take the radiator to a mechanic who can assess its capacity. Additionally, the amount of antifreeze required may also depend on the make and model of the vehicle that the radiator is installed in.

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Answer:

5x-20=40

5x=40+20

5x=60

x=60/5

x=12

9x-20-4x=40

5x-20=40

5x=40+20

5x=60

answer: x=12

The lowest point on the graph occurs at point (3π/2,  -1)

One of the three fundamental functions in trigonometry, along with cosine and tan functions, is the sine function.

The ratio of the opposite side of a right triangle to its hypotenuse is known as the sine x or sine theta.

The sine function graph is sinusoidal in nature. This is a sim=ne wave that have smooth periodic oscillation

The attached graph shows sine function graph plotted with the interval [0, 2pi]

The lowest point is observed to occur at  (3π/2,  -1)

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If the sample size is small and the sample variance is large then

small treatment effect still be statistically significant.

As we know that,

Statustical significance refers to claim that a result from data generated by testing or experimentation is likely to be attributable to specific cause.

Sample size is the total number of individuals or items that comprise a sample.

And, the variance is a descriptive statistic, which falls under the category of a measure of spread.

The circumstance in which a very small treatment effect can be found to be significant is best described by option A: If the sample size big and the sample variance is small.

A large sample size will increase the probability that the results of a statistical test will yield significant results. This is why most statistical tests are accompanied by a measure of effect size. A statistically significant result associated with a very large sample size, will likely have a small effect size, an undesirable result for a researcher, as it implies one of the only reasons significant results were obtained was due to the large sample, not necessary the magnitude of the experimental effect.

Likewise, if variance is small, this will also increase the probability that the results of a statistical test will yield significant results. Variance is simply another word in statistics for the error. A decrease in error will lead to an increased probability of obtaining significant results, hence the idea that a small amount of variance will lead to an increased probability of significant results.

Hence, if the sample size is small and the sample variance is large then

small treatment effect still be statistically significant.

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Number of degrees of minor arc is 108 degrees.

It is given that a regular pentagon ABCDE, a circle is drawn that is tangent to DC at D and to AB at A.

We need to find the number of degrees in the minor arc AD ie angle AED

A regular pentagon has all sides equal and all angles are equal.

The sum of all the angles of a pentagon is 540 degree

Each angle od a pentagon is 540/5 = 108 degree

Therefore, Number of degrees of minor arc is 108 degrees. or angle AED is 108 degrees.

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The correct option is (d) i.e. The best measure of center for the data is median ad its value is 8.

What is mode?

In statistics, the mode is the value that appears  frequently in a dataset. It is a measure of central tendency along with mean and median. The mode can be used for both numerical and categorical data, and is often used when describing the shape of a distribution. Unlike mean and median, the mode can be non-unique, meaning there can be more than one mode in a dataset or there may be no mode at all.

The best measure of center for this data depends on whether the distribution is symmetric or skewed.

If the distribution is roughly symmetric, then the mean would be a good measure of center. However, the presence of a single dot above 1 and 10, and the clustering of dots above 6, 7, 8, and 9 suggests that the distribution may be skewed or have some outliers. In this case, the mean would be affected by the skew or outliers, and may not accurately represent the "typical" value.

The median is a more robust measure of center that is not affected by outliers. To calculate the median, we would order the values and find the middle value.

In this case, there are a total of 13 dots, so the middle value would be the 7th value when the data is ordered:

1, 6, 6, 7, 7, 9, 9, 9, 8, 8, 8, 10, 10

The median is therefore 8.

Therefore, the best measure of center for this data is the median, and its value is 8.

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Complete question : A horizontal line starting at 1 with tick marks every one unit up to 10. The line is labeled Number of Rose Bouquets, and the graph is titled Roses Purchased Per Day. There is one dot above 1 and 10. There are two dots above 6, 7, and 9. There are three dots above 8.

Which of the following is the best measure of center for the data, and what is its value?

The mean is the best measure of center, and it equals 8.

The median is the best measure of center, and it equals 7.3.

The mean is the best measure of center, and it equals 7.3.

The median is the best measure of center, and it equals 8.

Answer:

the answer is C your welcome!!!!

Step-by-step explanation:

Answer:

Let's denote O as center of circle.

=> Two isosceles triangles  AOB and EOF are congruent (SSS).

Because AO = BO = EO = FO = radius of circle O, AB = EF = 8

=> Arc AB = AOB = EOF = Arc EF = 65 deg.

Hope this helps!

:)

Take the root of both sides and solve.

x = 8√−10, −8√−10

The equations of the tangents are:y = -3/2 + sqrt(37)/2(x - 10) (smaller slope)y = -3/2 - sqrt(37)/2(x - 10) (larger slope):y=-\frac{3}{2}+\frac{\sqrt{37}}{2}(x-10) (smaller slope)y=-\frac{3}{2}-\frac{\sqrt{37}}{2}(x-10) (larger slope).

Curve isx = 6t^2 + 4, y = 4t^3 + 4the slope of tangent of this curve dy/dx is dy/dx=12t/(3t^2+2)Then, equation of tangent with slope m and passing through (x1, y1) is given by(y - y1) = m(x - x1) ............(1)Here, point is (10,8)Therefore, equation of tangent passing through (10, 8) will be of the form(y - 8) = m(x - 10)Let this tangent intersect the curve at point P. Then, the coordinates of point P are given byx = 6t^2 + 4y = 4t^3 + 4.

Equating this with equation (1), we get:4t^3 + 4 - 8 = m(6t^2 - 6)4t^3 = 6m(t^2 - 1)2t^3 = 3m(t^2 - 1)2t^3 + 3mt - 3m = 0t = -m/2 ± sqrt(m^2/4 + 3m)Therefore, the two tangents are given by:y - 8 = m1(x - 10), where m1 = -3/2 + sqrt(37)/2y - 8 = m2(x - 10), where m2 = -3/2 - sqrt(37)/2Hence, the equations of the tangents are:y = -3/2 + sqrt(37)/2(x - 10) (smaller slope)y = -3/2 - sqrt(37)/2(x - 10) (larger slope):y=-\frac{3}{2}+\frac{\sqrt{37}}{2}(x-10) (smaller slope)y=-\frac{3}{2}-\frac{\sqrt{37}}{2}(x-10) (larger slope).

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Answer: Throws the bag away after eating the pop corn.

Step-by-step explanation:

Answer:

y = 18 + 12x

Step-by-step explanation:

To find the total cost Mr. Montenegro pays in dollars when x shirts are ordered, we can use the equation y = 18 + 12x, where y is the total cost in dollars and x is the number of shirts ordered. This equation takes into account the delivery fee of $18 and the cost of each shirt, which is $12. Therefore, we can use the equation y = 18 + 12x to find the total cost Mr. Montenegro pays when he orders x shirts.

The domain is the input value of x, which can be any real number.

There is no inequality.

Set notation x | E R. ( all real nUmbers)

Interval. Oration (-infinity, infinity)

Range: set x to 0 and solve:

3(0)^2 + 2 = 2

The lowest value is 2 and goes to infinity.

Inequality is >=

Set notation Y | >= 2

Interval notation : [2, infinity)

End behavior they both go to infinity .

Answer:

according to your question it should be 3.00x 10^18 which is not a choice

The GCF of 15 and 64 is 1.

The needed sample size Smaller if the margin of error .

Given,

In the question:

This question in the form of: Fill in the blanks.

So, You want to estimate the proportion of students at your university in favor of a longer spring break. changing the confidence level from 95% to 90% will decrease the needed sample size_____ if the margin of error.

Hence, The answer is smaller the margin of error.

Let's Know:

What is Confidence level?

The confidence level is the percentage of times you expect to get close to the same estimate if you run your experiment again or resample the population in the same way. The confidence interval consists of the upper and lower bounds of the estimate you expect to find at a given level of confidence.

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Answer:

x = 16 or \(\frac{-8 + x}{4} = 2\)

Step-by-step explanation:

let's start from the beginning and move along!

\(\frac{-8 + x}{4}\) = 2

to solve this...

1) multiply both sides by four to get rid of the fraction

\((4)\frac{-8 + x}{4} = 2(4)\) ------> -8 + x = 8

2) add 8 to both sides to isolate x ----> x = 16

The distance the player is from the right post is = 5.1 meters

The Pythagorean theorem states that the square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides.

Formula for the Pythagorean theorem =

a²= b²+c²

From the diagram given,

The hypotenuse (a) = x²

b= 1.82²

c = 4.8²

x² = 1.82² + 4.8²

x²= 3.3124 + 23.04

x²= 26.3524

a= √26.3524

a= 5.1 meters.

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Referring to Table 3.1, if the government imposes a price of $3, a shortage will result.

To determine the outcome when the government imposes a price of $3, we need to compare the quantity demanded and quantity supplied at this price level.
According to Table 3.1, at a price of $3, the quantity demanded is 30 units, while the quantity supplied is 40 units. The quantity demanded (30 units) is less than the quantity supplied (40 units), resulting in a situation known as a shortage.
A shortage occurs when the quantity demanded exceeds the quantity supplied at a given price. In this case, a shortage of 10 units occurs because consumers are willing to buy more than what producers are offering at the price of $3.
To summarize, if the government imposes a price of $3 based on Table 3.1, a shortage will result. This means that the quantity demanded exceeds the quantity supplied at the given price, indicating that consumers are unable to purchase all the units they desire.

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 the complete question is:

Table 3.1
Quantity Demanded.
Price per Unit
Quantity supplied
10
$5
50
20
30
$4
$3
40
30
40
50
$2
$1
20
10
Refer to Table 3.1. If the government imposes a price of $3.
a shortage will result.
Market is in equilibrium.
the price will fall to $1 because producers will be forced to incur losses.
a surplus will result.

The length of a standard basketball court is 94 feet (28.65 meters), and the width is 50 feet (15.24 meters).

A standard basketball court is rectangular in shape and follows certain dimensions specified by the International Basketball Federation (FIBA) and the National Basketball Association (NBA). The length and width of a basketball court may vary slightly depending on the governing body and the level of play, but the most commonly used dimensions are as follows:

The length of a basketball court is typically 94 feet (28.65 meters) in professional settings. This length is measured from baseline to baseline, parallel to the sidelines.

The width of a basketball court is usually 50 feet (15.24 meters). This width is measured from sideline to sideline, perpendicular to the baselines.

These dimensions provide a standardized playing area for basketball games, ensuring consistency across different courts and facilitating fair play. It's important to note that while these measurements represent the standard dimensions, there can be slight variations in court size depending on factors such as the venue, league, or specific regulations in different countries.

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The triple integral evaluates the volume of the given tetrahedron, with limits of integration from 0 to 9 for x, 0 to 8 for y, and 0 to 2 for z.

To evaluate the triple integral over the solid tetrahedron with vertices (0, 0, 0), (9, 0, 0), (0, 8, 0), and (0, 0, 2), we need to set up the integral based on the given boundaries and the integrand function.

Let's define the integrand function as f(x, y, z) = 1, which means we are integrating a constant value of 1 over the tetrahedron, effectively calculating its volume.

The integral can be set up as follows:

∫∫∫V f(x, y, z) dV

where V represents the volume of the tetrahedron.

To determine the limits of integration, we consider the given vertices:

Vertex 1: (0, 0, 0)

Vertex 2: (9, 0, 0)

Vertex 3: (0, 8, 0)

Vertex 4: (0, 0, 2)

The limits for x, y, and z can be defined as follows:

For x:

Lower bound: 0

Upper bound: x = 9 (from the equation of the line connecting vertices 1 and 2: x = 9y/8)

For y:

Lower bound: 0

Upper bound: y = 8 (from the equation of the line connecting vertices 1 and 3: y = 8z/2)

For z:

Lower bound: 0

Upper bound: z = 2

Now we can set up the triple integral:

∫[0 to 9]∫[0 to 8]∫[0 to 2] 1 dz dy dx

Evaluating this integral will give us the volume of the tetrahedron.

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The probability that the random variable will take on a value between 31 and 35 is 0.2620 or 26.20%.

To solve this problem, we need to standardize the values of 31 and 35 using the formula:

z = (x - μ) / σ

where x is the value we want to find the probability for, μ is the mean, and σ is the standard deviation.

For x = 31:

z = (31 - 30) / 5 = 0.2

For x = 35:

z = (35 - 30) / 5 = 1

Now, we can use a standard normal distribution table or calculator to find the probabilities corresponding to these z-values. The probability of getting a value between 31 and 35 is the difference between the probability of getting a z-value less than 1 and the probability of getting a z-value less than 0.2:

P(31 ≤ x ≤ 35) = P(z ≤ 1) - P(z ≤ 0.2)
= 0.8413 - 0.5793
= 0.2620

Therefore, the probability that the random variable will take on a value between 31 and 35 is 0.2620 or 26.20%.

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