If using the method of completing the square to solve the quadratic equation x2 +x+9=0, which number would have to be added to "complete the square"?

Answer:

i might be 25

Step-by-step explanation:

Answer:

45 yards and 176 yards

Step-by-step explanation:

Perimeter of a rectangular playing field = 2(Length + width)

P = 2(L+W)..................... Equation 1

From the question,

Let the width of the rectangular playing field = x yards,

The the Length = 4x-4 yards.

Given: P = 442 yards.

Substitute these values into equation 1

442 = 2(4x-4+x)

442/2 = 5x-4

221 = 5x-4

5x = 221+4

5x = 225

x = 225/5

x = 45 yards.

Width = 45 yards.

Length = (45×4)-4 yards = 176 yards

Hence the dimensions of the playing field are, 45 yards and 176 yards

The probability of getting a head and a number greater than 5 i.e, independent events is 0.0833.

A coin is tossed and a die is rolled. These are two independent events. Two events are defined as independent if the outcome of one event has no effect on the outcome of another event. The probability is calculated by multiplying two independent probabilities together, i.e, P(A and B) = P(A) x P(B)

We have, Let us assume two independent events be ,

A : A coin is tossed and the head is thrown.

B : A die is rolled, and a number greater than 5 occurs.

Total possible outcomes when a coin tossed = 2 ={ H ,T }

Total possible outcomes when a die rolled = 6 = { 1,2,3,4,5,6} .

We have to determine probability of getting a head and a number greater

than 5.

Probability of getting the head on toss a coin, P(A) = 1/2

Probability of occuring a number greater than 5 on rolling a die = P(B) = 1/6

So, the probability of getting a head on coin and a number greater than 5 on die =P(A)×P(B)

=(1/2)× 1/6 = 1/12=0.0833

Hence, required probability is 0.0833.

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The total amount  Bianca has to pay monthly to avoid interest capitalization is $13.43.

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount of annual payment is given as,

\(A_p=P\times\left(\dfrac{r}{1-1+r}\right)^t\\\)

Here, P is principal amount, the rate is r and time period is t.

Bianca took out a $2,600 unsubsidized stafford loan. She will be attending school for four years, and she wishes to have the loan paid off five years before its normal ten-year duration is finished.

Total months in ten years,

\(t=10\times12\\t=120\)

The loan has an interest rate of 6.2%, compounded monthly. The interest rate is,

\(r=0.062\)

Put the values in the above formula as,

\(A_p=(2600)\times\left(\dfrac{0.062}{1-1+0.062}\right)^{120}\\A_p=161.32\)

Total payment paid by her in 1 year of time is,

\(M_p=\dfrac{161.32}{12}\\M_p=13.43\)

Thus, the total amount  Bianca has to pay monthly to avoid interest capitalization is $13.43.

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A column chart is an excellent tool for comparing values side by side, broken down by category. With its clear and concise display of data, it is an invaluable asset for businesses, researchers, and anyone looking to understand complex information quickly and easily.

To compare values side by side, broken down by category, a column chart is an effective tool. Column charts are ideal for comparing data across different categories or groups, as they clearly display the differences between values. When creating a column chart, the categories are listed on the horizontal axis, and the values are listed on the vertical axis. Each column represents a different category, and the height of the column corresponds to the value of that category. Column charts can be customized to fit specific needs, such as adding colors or labels to each category. They are also versatile and can be used to display a wide range of data, from sales figures to survey results. You should use a bar chart to compare values side by side, broken down by category. Bar charts are a helpful visualization tool that allows you to compare data across different categories in an easy-to-read format.

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To find the fixed charge in the given fixed-charge model, we need to substitute the solution values\(\(x_1 = -250\) and \(x_2 = -100\) into the objective function \(Z = -350x + 200x^2 - 300y_s - 600y^2\).\)

Substituting \(\(x_1 = -250\) and \(x_2 = -100\):\(Z = -350(-250) + 200(-100)^2 - 300y_s - 600y^2\)\(Z = 87500 + 200000 - 300y_s - 600y^2\)\(Z = 287500 - 300y_s - 600y^2\)\)

To determine the fixed charge, we look for the term in the objective function that is not dependent on the decision variables \(x\) and \(y\). In this case, there is no constant term (-300y_s and -600y^2 both depend on \(y\)).

Therefore, the fixed charge in this fixed-charge model is 0 (zero).

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Answer:

angle x = 30 degrees

Step-by-step explanation:

180-117-33= x

180 - 117- 33= 30

117+33+x=180

117+33=150

180-150=30

x=30

117+33+30=180

180=180

honestly i dont know what you wanted me to do so i did what i know

Answer:

QSR = 68º

Step-by-step explanation:

TSQ + QSR = TSR

15x + (10x - 2) = 173

Combine like terms

25x = 175

Divide both sides by 25

x = 7

QSR = 10x - 2

QSR = 10(7) - 2

QSR = 68º

Answer:

4/5

Step-by-step explanation:

80% is equivalent to 80/100

80/100 can be simplified into 8/10 by dividing both sides by 10

8/10 can be further simplified into 4/5 by dividing both sides by 2

4/5 can not be simplified any further

Answer:

8 hours because each hour he drives 50 miles 50x8 is 400

Answer:

The answer would be 8 hours

Step-by-step explanation:

The equation that shows the relationship between the angles in the triangle is m∠1 + m∠2 + m∠3 = 180.

The equation that shows the relationship between the angles in the triangle is determined as follows;

The sum of angles in a triangle is equal to 180 degrees.

So based on this information, the equation that shows the relationship between the angles in the triangle is formulated as;

angle 1 + angle 2 + angle 3 = 180

We can re-write the equation as follows;

m∠1 + m∠2 + m∠3 = 180

Thus, the equation that shows the relationship between the angles in the triangle is the sum of angle 1 plus angle 2 plus angle 3.

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(a) The Null And Alternate hypothesis are stated below,

(b) The value of test-statistic is 3,

(c) The "p-value" is 0.0013,

(d) The hypothesis is rejected because p-value is less than 0.025.

Part (a) : The appropriate null and alternative hypotheses are:

Null hypothesis (H₀): The average LSAT score at the University of Pennsylvania is equal to or less than the national average of 1,300.

Alternative hypothesis (Hₐ): The average LSAT score at the University of Pennsylvania is significantly higher than the national average of 1,300.

Part (b) : To calculate the test-statistic, we use formula : t = (x' - μ)/(s / √n),

where x' = sample mean, μ = hypothesized population mean, s = sample standard deviation, and n = sample size.

Substituting the given values,

We get,

t = (1375 - 1300)/(125 / √25) = 3;

So, the value of the test statistic is 3.

Part (c) : To calculate "p-value", we need to find the probability of getting a t-value as extreme or more extreme than 3, assuming that the null hypothesis is true.

We know that for a two-tailed test at a significance level of 0.03, the p-value is approximately 0.0013.

Part (d) : To test the hypotheses using the p-value, we compare it to the significance-level.

Since the p-value is less than 0.025 (half of the significance level for a two-tailed test), we reject the null hypothesis and conclude that there is sufficient evidence to support the claim.

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The given question is incomplete, the complete question is

The admissions officer for the graduate programs at the university of Pennsylvania believes that the average score on the LSAT exam at his university is significantly higher than the national average of 1,300. an accepted standard deviation for LSAT scores is 125. random sample of 25 scores had an average of 1,375.

(a) State the appropriate null and alternative hypotheses.

(b) Calculate the value of the test statistic

(c) Calculate the p-value.

(d) Use the p-value to test the hypotheses and conduct the test at the 0.025 level.

Answer:

if $15.98----> 2kg

$x --------> 7kg

cross multiply

$x= (15.98 x 7)/2

x = $55.93

Answer: c

Step-by-step explanation:

In order to be parallel, the slope must be the same. This means slope is 2

Now one of the point is 5,-1, so do 2x5 + x = -1, so x = -11

meaning b is -11

so the equation should be y=2x-11

Answer:

the sky is a blanket of stars and his words are daggers are metaphors the rest are similes

Step-by-step explanation:

i did it on edg

Metaphors:

The sky is a blanket of stars

His words are daggers

Similes:

The sky is like a blanket of stars

His words are as sharp as daggers

His words are live daggers

We have,

Metaphors and similes are both figures of speech used to make comparisons between two unrelated things.

They create vivid and imaginative descriptions by equating or likening one thing to another.

Metaphors directly state that one thing is another thing, without using "like" or "as."

They make a direct comparison by asserting that something is something else.

For example, "The sky is a blanket of stars" compares the sky to a blanket of stars, implying that the sky is vast and filled with numerous stars.

Similes, on the other hand, use "like" or "as" to make a comparison between two things.

They highlight similarities by stating that one thing is like or resembles another thing.

For instance, "The sky is like a blanket of stars" implies that the sky shares some characteristics with a blanket of stars, such as its vastness and the sense of being covered.

Thus,

Metaphors:

The sky is a blanket of stars

His words are daggers

Similes:

The sky is like a blanket of stars

His words are as sharp as daggers

His words are live daggers

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The airplane's angle of elevation from the runway is approximately 17.36 degrees, and the distance between the plane and the ground is 4772.79 ft.

Here are the main answers to the question:

First, we will find the distance between the plane and the ground:5000² = 25000000+ 1500² = 2250000d² = 22750000d = 4772.79 ft.

To find the angle of elevation, we will use the tangent ratio:tan A = opposite/hypotenuse = 1500/4772.79A = tan⁻¹(1500/4772.79)A = 17.36°.

The airplane's angle of elevation from the runway is approximately 17.36 degrees.

In conclusion, the airplane's angle of elevation from the runway is approximately 17.36 degrees, and the distance between the plane and the ground is 4772.79 ft.

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The mean square errors for the three-month and four-month moving average forecasts shown below.

How closely a regression line resembles a set of data points is determined by the Mean Squared Error. It is a risk function that corresponds to the squared error loss's expected value. The average, more particularly the mean, of errors squared from data related to a function is used to determine mean square error.

Given:

According to the Given data we construct a table as

Month   Sales   3- month           4- month      3- month     4- month      

                         moving             moving         squared       squared

                        averages            averages      error           error

1             9.6      

2             9.2

3             9.3

4             9.2     9.367                                        0.111            

5             9.2     9.400                   9.450           0.160        0.123    

6             9.2     9.500                  9.500            0.010        0.140    

7             9.2     9.733                   9.625            0.001         0.006  

8             9.2     9.733                   9.725            0.751          0.776  

9             9.2     10.000                 9.950           0.010           0.002  

10            9.2     10.067                  9.975            0.218          0.141  

11             9.2     10.033                   9.950          0.401           0.322

12            9.2     9.633                   9.975             0.004          0.031

13                       9.567                 9.650    

                                                        MSE             0.185            0.176

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Go faster 50 for insurance And 40 per hour

Blaster Jet Ski 70 for insurance and 30 per hour

50 + 40x = 70 + 30x

x is the hours

10 x = 20

x = 2

after 2 hours both will charge the same amount of money .

The numbers 3, 4, and 7 likely refer to specific shapes that are programmed into the toy's code and represented by specific patterns of 1s and 0s.

To understand how codecs work, it is helpful to think of them as translators. When digital information is transmitted, it is often compressed to reduce the amount of data that needs to be transmitted.

In the case of Tracy the turtle's shape toy, the codecs are responsible for encoding the shapes into digital information that can be transmitted to the toy's display. The toy's display then decodes this information to display the shapes. The numbers 3, 4, and 7 likely refer to specific patterns of 1s and 0s that represent the shapes programmed into the toy.

In mathematical terms, codecs use various algorithms to compress and decompress digital information. These algorithms often involve complex mathematical formulas that are used to analyze and reduce the amount of data that needs to be transmitted.

Codecs are an essential component of digital communication and are used in everything from video streaming to text messaging.

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Complete Question:

Does anyone know 3. 4. 7 Kid's Shapes Toy for Tracy the turtle in codecs?

Answer:

Step-by-step explanation:

in every there w234e

Answer

C

Step-by-step explanation:

Answer:

12.6

Step-by-step explanation:

1/5 = .2

3/10 = .3

4.2 x .3 = 12.6

The area and Perimeter of the figures are:

1) A = 77.1 cm²

2) A = 22 cm²

3) A = 84.82 cm²

4) A = 86.14 cm²

P = 33.33 cm²

1) The area of a circle is:

A = πr²

Thus, area of shaded region is:

A = (π * 6²) - (6 * 6)

A = 77.1 cm²

2) Area of shaded region is:

A = (π * 3²) - ((π * 1²) + (π * 1²))

A = 7 * π

A = 22 cm²

3) Area of the composite figure is:

A = ¹/₂(π * 9²) + 3*¹/₂(π * 3²)

A = 84.82 cm²

4) Area of composite figure is:

A = ¹/₂(π * 3²) + ¹/₂(6 * 6)

A = 86.14 cm²

Perimeter of composite figure is:

P = 6 + √72 + (2 * π * 3)

P = 33.33 cm²

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Answer:

ob) 4

Step-by-step explanation:

th coefficient is the number that multiplies a variable

Answer:

Yes,the coefficient is 4

Step-by-step explanation: