Use the table to answer the questions below. Choose the right answers.

One of your company's salesmen estimates he will drive 20,000 miles this year and each of the next two years. As the service manager for the company's fleet of six-cylinder compact automobiles, you are asked to determine the total costs for each of the three years.

Year 1 Total Cost: $

Year 2 Total Cost: $

Year 3 Total Cost: $

Answer:

Step-by-step explanation:

The system of equations is:

x^2 = y

x^2 + y^2 = 9

Substituting the first equation into the second, we get:

x^2 + (x^2)^2 = 9

x^4 + x^2 - 9 = 0

Using the quadratic formula, we can solve for x^2:

x^2 = (-1 ± sqrt(37))/2

Taking the positive root, we get:

x^2 = (-1 + sqrt(37))/2

Substituting this back into the first equation, we get:

y = (-1 + sqrt(37))/2

So the solution is the point (sqrt((-1 + sqrt(37))/2), (-1 + sqrt(37))/2)

Looking at the graphs, only graph (d) contains the point (sqrt((-1 + sqrt(37))/2), (-1 + sqrt(37))/2), so the answer is (d).

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QUESTION: Which graph shows the system (x^2 = y =2 x^2 + y^2 = 9

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_____|______|______

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To determine whether the set S is linearly independent or linearly dependent.The set is linearly independent. This is because the only way to make a linear combination of vectors equal to the zero vector is to have all the coefficients equal to zero.

A linear combination of vectors is the sum of a scalar multiple of each vector in the set. We must check if the equation a(-2,2,4) + b(1,9,-2) + c(2,3,-3) = (0,0,0) has only the trivial solution, i.e., a=b=c=0. This gives us the system of equations,-2a + b + 2c = 01a + 9b + 3c = 02a - 2b - 3c = 0We can solve the system of equations by using Gauss-Jordan elimination. The augmented matrix for the system is:[-2 1 2 0][1 9 3 0][2 -2 -3 0]Let's use elementary row operations to simplify the matrix.

We can swap the first and second rows since the first element in the second row is 1.[1 9 3 0][-2 1 2 0][2 -2 -3 0]We can then add twice the first row to the third row to eliminate the leading coefficient in the third row.[1 9 3 0][-2 1 2 0][0 16 3 0]We can then add nine times the first row to the second row to eliminate the leading coefficient in the second row.[1 9 3 0][0 17 15 0][0 16 3 0]We can then add -16/17 times the second row to the third row to eliminate the leading coefficient in the third row.[1 9 3 0][0 17 15 0][0 0 -117/17 0]We see that the only solution is a=0, b=0, and c=0. Therefore, the set S is linearly independent.

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A test using traceroute command is performed to a destination site. The number of routers in this test is 8. The second test is performed after two hours and the paths does not change. In general case, the paths might change if there are network problems and it needs to do re-routing.

Traceroute is a command like ping command used for isolating problems in the network. Unlike ping command, traceroute does not need to know the IP address of the destination site.

The TTL (Time to Live) field in the IP packet header is used by Traceroute. TTL is typically used to prevent packets from being sent indefinitely when there is a routing loop. When a router forwards an IP packet, the TTL is reduced by one. When the TTL reaches zero, the IP packet is dropped.

This is an example for the result of traceroute command:

C:\Users\ayuner>tracert  [31.13.64.35]

Tracing route to  [31.13.64.35]

over a maximum of 30 hops:

1     9 ms     8 ms     8 ms  D5644061.static.ziggozakelijk.nl [215.99.12.17]

 2     9 ms    14 ms     8 ms  tb-rc0001-cr101-ae40-0.core.as9143.net [213.51.158.66]

 3    10 ms    12 ms    11 ms  asd-tr0042-cr101-ae5-0.core.as9143.net [213.51.158.18]

 4    14 ms    12 ms    12 ms  br02.ams1.tfbnw.net [80.249.209.164]

 5    12 ms    12 ms    13 ms  po131.asw01.ams3.tfbnw.net [157.240.35.46]

 6    12 ms    12 ms    13 ms  po232.psw01c.amt2.tfbnw.net [157.240.35.175]

 7    13 ms    12 ms    12 ms  msw1ad.01.amt2.tfbnw.net [173.252.64.255]

 8    12 ms    11 ms    13 ms  edge-star-mini-shv-01-amt2 [31.13.64.35]

Trace complete.

Your question is incomplete. Most likely it was:

Perform a Traceroute between source and destination on the same continent at three different hours of the day. Find the number of routers in the path at each of the two hours. Did the paths change during any of the hours?

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Given the data with soes size as x and height as y, the line of best fit is y = 1.673X + 51.577

The line of best fit, also known as the trend line or regression line, is a statistical tool used in data analysis. It is a straight line that best represents the data on a scatter plot. This line may pass through some of the points, none of the points, or all of the points.

Sum of X = 120

Sum of Y = 1026

Mean X = 7.5

Mean Y = 64.125

Sum of squares (SSX) = 26

Sum of products (SP) = 43.5

Regression Equation = y = bX + a

b = SP/SSX = 43.5/26 = 1.67308

a = MY - bMX = 64.13 - (1.67*7.5) = 51.57692

y = 1.67308X + 51.57692

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The temperature at half past eleven would be 2 °C.

In mathematics, an algebraic expression is an expression built up from constant algebraic numbers, variables, and the algebraic operations.

Given is that the temperature in Austria one morning was -5 degrees Celsius at eight o clock and increased by 2 degrees Celsius every hour until twelve o clock.

We can write the temperature variation as a function of hour {x} as -

T{x} = (- 5 + 2{x})°C

For half past eleven, we will have -

{x} = 3.5

So, we can write -

T{x} = (- 5 + 2 x 3.5)°C

T{x} = 2 °C

Therefore, the temperature at half past eleven would be 2 °C.

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The price per night for a Suite room for check-in on Friday and Saturday would be amount $278.50 .

The price per night for a Suite room for check-in on Friday and Saturday would be amount $278.50.

1. Calculate the price of a Deluxe room for check-in on Sunday until Thursday:

$223 / 1.70 = $131.18

2. Calculate the price of a Deluxe room for check-in on Friday and Saturday:

$131.18 x 1.25 = $163.98

3. Calculate the price of a Suite room for check-in on Friday and Saturday:

$163.98 x 1.70 = $278.50

The price per night for a Suite room for check-in on Friday and Saturday would be $278.50.

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Answer:

The Domain are -2,3,-5,0

The Range are 0,8,10,3

So, there were 23 children in the group.

To solve this problem, we can set up the following equation:

6.50x + 8.75y = 259

Where x is the number of children's tickets and y is the number of adult tickets.

To solve for x, we can first subtract 8.75y from both sides of the equation:

6.50x - 8.75y = -8.75y

Then we can add 8.75y to both sides of the equation to get:

6.50x = 259 - 8.75y

Finally, we can divide both sides of the equation by 6.50 to get:

x = (259 - 8.75y)/6.50

So the number of children's tickets (x) is equal to (259 - 8.75y)/6.50.

We are given that the total cost of the tickets was $259 and that there were a total of 35 tickets, so we can substitute those values into the equation:

x = (259 - 8.75y)/6.50 = (259 - 8.75*35)/6.50

Solving this equation, we find that there were 23 children in the group.

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Answer:

Area = 1/2 × product of diagonalsso area = 1/2 × 30 ×16 = 240 cm²

also diagonals bisect each other at right angles so 1/2×30= 15cm,, 1/2× 16 = 8cm

therefore by pythagoras theorem,

\( {15 }^{2} \)+ \({8}^{2} \)= \( {side}^{2} \)\( \sqrt{289 = side} \)

side = 17

Perimeter = 4×17 =68 cm.

Answer:

Step-by-step explanation:

\(\large \boldsymbol {} \tt Formulas : \\\\d_1^2+d_2^2=4a^2 \\\\S=\dfrac{1}{2} d_1d_2 \\\\ \ where \ S \ is \ the \ area \ of \ the \ rhombus \ ;\\\\\ and \ d_1 \ and \ d_2 \ are \ its \ diagonals \ ; \ and \ a \ , \\\\\\ respectively, \ is\ the \ side \ of\ the rhombus \\\\ then : \\\\ 4a^2=16^2+30^2 \\\\ 4a^2=1156 \\\\a^2=289 \\\\a=17 \ \ then \ P=4a=17*4=\boldsymbol {68} \\\\ \tt S=\dfrac{1}{2} \cdot 30 \cdot 16 =\boldsymbol {240 } \\\\ Answer : S=240 \ ; a=17 \ ; \ P=68 \ ;\)

The given expression is

Replacing the given values, we have

Step-by-step explanation:

y = -3x² + mx + 10

dy/dx = -6x + m.

When dy/dx = 0, -6x + m = 0. => x = m/6.

We have y = -3(m/6)² + m(m/6) + 10 = 37.

=> -m²/12 + m²/6 = 27

=> -m² + 2m² = 324

=> m² = 324

=> m = 18 or m = -18.

A possible confounding variable that that would help explain the relationship between hair length and height of college age students is their gender.

Confounding variable is an extraneous variable that is related to both the dependent and independent variable, and it affects the result of the study. Therefore, it causes the effect of the independent variable on the dependent variable to be distorted. A possible confounding variable that would help explain the relationship between hair length and height of college age students is their gender. If the study didn't control for gender, then it would be difficult to determine if the relationship between hair length and height of college age students was a direct relationship or if it was due to the confounding variable (gender).For example, if the study found that female college age students tend to have shorter hair and are shorter than male college age students. Therefore, this would make the relationship between hair length and height spurious. Hence, a possible confounding variable that would help explain the relationship between hair length and height of college age students is their gender.

A possible confounding variable that would help explain the relationship between hair length and height of college age students is their gender. The gender of college age students could play a role in determining their height and hair length. If the study didn't control for gender, then it would be difficult to determine if the relationship between hair length and height of college age students was a direct relationship or if it was due to the confounding variable (gender). For example, if the study found that female college age students tend to have shorter hair and are shorter than male college age students. Therefore, this would make the relationship between hair length and height spurious. This means that the relationship between the two variables was not a direct one, but was rather due to the confounding variable (gender). Therefore, in order to determine if there is a direct relationship between hair length and height of college age students, the study needs to control for gender.

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Answer:

D. X + 9​

Step-by-step explanation:

x² + 2x - 63

What 2 numbers multiply to -63 and add to 2

9 * -7 = -63

9+-7 = 2

(x+9)(x-7)

Approximately 23.39% of the underclassmen have an interest in taking a Mandarin course next year.

Option C is the correct answer.

We have,

To determine the percentage of underclassmen interested in taking a Mandarin course, we need to calculate the ratio of the number of underclassmen interested in Mandarin to the total number of underclassmen.

Looking at the two-way frequency table, we can see that there are 145 underclassmen interested in Mandarin out of a total of 620 underclassmen.

To find the percentage, we divide the number of underclassmen interested in Mandarin by the total number of underclassmen and multiply by 100:

= (145 / 620) x 100

= 23.39%

Therefore,

Approximately 23.39% of the underclassmen have an interest in taking a Mandarin course next year.

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Answer:

-8/9

Step-by-step explanation:

-1 1/8

=> - 9/8

=> Multiplicative inverse of 9/8 is:

=> - 8/9 [Sign does not change only the numerator goes to the denominator and denominator to the numerator]

=> -8/9 is the multiplicative inverse of -1 1/8

Answer:

the warnings will begin in 12 days and last for 5 days

Step-by-step explanation:

38-10=28, 28÷2=12, 10÷2=5, so you get 12 and 5

Answer:

4/15

Step-by-step explanation:

Answer:

Bro just complete your project. That's just plagiarism.

Step-by-step explanation:

Sorry but the teacher WILL notice.

Square is consider as the king of all the quadrilaterals.

Explanation:

Square is consider as the king of all the quadrilaterals:

Therefore, square shape is consider as the king of all the quadrilaterals.

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Answer:

27

Step-by-step explanation:

There are 14 possible outcomes for the 7-question test.

Combinations are defined as the arrangement of objects or numbers in a way such that the order of the arrangement does not matter.

Given that the total number of questions is 7.

Each question has two possible outcomes, either true or false.

Given that, you randomly guess on all questions.

So you can guess either true or false for all questions.

That is, there are 2 possible options for each question.

And total number of questions = 7

Total number of possible outcomes = 2 × 7 = 14

Hence the total possible outcomes is 14.

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The probability that Senator Smiley will keep his campaign promises from the chances of reelected  is equal to 5%.

Probability that Senator Smiley re-elected = 70%

Probability of keeping campaign promises by Senator = 5%

To find the probability that Senator Smiley will keep his campaign promises,

we need to use the conditional probability formula.

P(A|B) = P(A and B) / P(B)

where A is the event 'Senator Smiley keeps his campaign promises'

and B is the event 'Senator Smiley is re-elected'.

P(B) = 0.7, the probability that Senator Smiley is re-elected.

If he is re-elected, there is a 5% probability that he will keep his campaign promises.

Mathematically, we can write this as,

P(A and B)

= P(A|B) × P(B)

= 0.05 × 0.7

= 0.035

The probability that Senator Smiley will keep his campaign promises is,

P(A)

= P(A and B) / P(B)

= 0.035 / 0.7

= 0.05

= 5%

Therefore, the probability that Senator Smiley will keep his campaign promises is 5%.

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Answer:

75 is the prime number if I am correct

It will take Stella 24 days to finish all the oatmeal in the container if she eats 1/4 cup every day for breakfast.

The container has 6 cups of oatmeal and Stella eats 1/4 cup every day for breakfast.

To find the number of days it will take Stella to finish all the oatmeal, we can use the formula:

Total amount of oatmeal in the container = 6 cups

Amount of oatmeal consumed by Stella per day = 1/4 cup

Therefore, it will take Stella 24 days to finish all the oatmeal in the container if she eats 1/4 cup every day for breakfast.

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Answer:

ab+ac

Step-by-step explanation:

The area of the figure is the length multiplied by the width, which is (a+b)c. By the commutative property, this is equal to c(a+b), and by the distributive property, it is also equal to ac+bc. It is not equal to ab+ac.

Answer:

c(a+b)

Step-by-step explanation:

Answer:

Rectangle= lw (length times width)

Square= a²

Parallelogram=bh (base times height)

Answer:

What are you asking?

Step-by-step explanation:

Answer:

y=x/3-4

Step-by-step explanation:

you get this answer by combine your x with your fraction. since this equation is belonging to system of equations you must combine the variable with your systematic equation.