The points V (1, 1), W (3,-2), X (8, 1), and Y (4, 5) form quadrilateral VWXY.

The surface area of that part of the plane 6x+10y+z=9 that lies inside the elliptic cylinder \(x^{2}/49 + y^{2}/9 =1\\\) is 21 \(\pi\) \(\sqrt{137\\\).

Given:

6x + 10y + z = 9  ..... (1)

\(x^{2}/49 + y^{2}/9 =1\\\) ..... (2)

Equation (1) can also be written as:

z = 9 - 6x - 10y ...... (3)

The surface area is given by the equation:

SA = ∫∫\(\sqrt{((df/dx)^2) + (df/dy)^2 + 1} )dA\)

\(\sqrt{df}/dx = -6\)

\(\sqrt{df}/dy = -10\)

Now, substitute the known values in equation (4).

SA = ∫∫\(\sqrt{(-6)^2 + (-10)^2 + 1} dA\)

SA =\(\sqrt{137}\)  ∫∫dA

Now the area enclosed by an ellipse is given by:

\(x^{2}/49 + y^{2}/9 =1\\x^{2}/a^2 + y^2/b^2=1\\\)

By comparing the above equation:

a = 7

b = 3

The area is given by:

SA = \(\sqrt{137}\) \(\pi\) (7 x 3)

SA = 21 \(\pi\) \(\sqrt{137\\\)

The surface area of an elliptic cylinder is 21 \(\pi\) \(\sqrt{137\\\).

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According to the conversion factor where 1 meter is equal to 0.000621371 miles, we find out that the rate of acceleration due to gravity upon conversion is equal to \(0.0060894358 miles/second^{2}\).

It is given to us that -

The rate of acceleration due to gravity is \(9.8 meter/second^{2}\)

We have to find out the rate of acceleration in \(miles/second^{2}\)

We know the conversion factor between meter and miles is -

\(1 meter = 0.000621371 miles\)

So, the given rate of acceleration due to gravity can be written as -

\(9.8 meter/second^{2}\\= 9.8 * 0.000621371 miles/second^{2}\\= 0.0060894358 miles/second^{2}\)

Thus, using the conversion factor from meter to miles, we find out that the rate of acceleration due to gravity is equal to \(0.0060894358 miles/second^{2}\).

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If Bill does not really know if the concept will be viable, so he develops a limited menu and has friends and family fill out a questionnaire to gather information. Bill is using creation in action.

What is questionnaire?

A questionnaire is a type of research tool used to collect data from respondents for a survey or statistical analysis. It consists of a set of questions (or other forms of prompts). Typically, a research questionnaire will have both closed-ended and open-ended questions. Long-term, open-ended inquiries provide the respondent the chance to go into more detail. The Statistical Society of London created the research questionnaire in 1838. Although statistical analysis of the replies is frequently the goal of questionnaire design, this is not always the case.

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Answer:

\(-\frac{x-4}{9}\)

Step-by-step explanation:

Replace x with f(x)

solve for f(x)

Answer:

B and C

Step-by-step explanation:

Tahnks for the brainlt

price change: 125 - 200 = -75 coins

percent of change = price change/original price *100 = -75/200*100 = -37.5%

that is, a discount of 37.5%

Answer:

1 is 3 units from -2 on a number line.

-5 is 3 units from -2 on a number line.

Step-by-step explanation:

The parabola f(x) = -x² - 6x - 13 is open downward.

Write the equation in vertex form f(x) = a(x-h)² + k

So, f(x) = -x² - 6x - 13

           = -(x² + 6x + 13)

           = -(x² + 6x + 9 + 4)

           = -((x + 3)² + 4)

           = -(x + 3)² - 4

Here, a = -1, h = -3 and k = -4

If a > 0, the parabola is open upward and if a < 0, the parabola is open downward.

In f(x) = -(x + 3)² - 4, a= -1 < 0. Therefore, the parabola is open downward.

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The correct options that are propositional formulas according to the strict definition are (i), (ii), (iii), (iv), (v), and (viii).

According to the strict definition given in the lecture, a propositional formula is a well-formed formula in propositional logic where propositions are atomic variables or their negations, and logical connectives are used to combine propositions.

Based on this definition, the following options are propositional formulas:

(i) p₁ ∧ ¬q

(ii) ((p₁ ∧ ¬q))

(iii) (¬(p₁ ∧ ¬q))

(iv) (p₁ ∧ (¬q ∨ r))

(v) (p₁ ∨ ¬(q ∧ r))

(viii) (p₁ ∧ ((¬q) ∨ r))

The formulas (i), (ii), (iii), (iv), (v), and (viii) satisfy the strict definition of a propositional formula as they consist of atomic variables (p₁, q, r) and negations, combined using the ∧ (conjunction) and ∨ (disjunction) connectives.

The formulas (vi) and (vii) do not satisfy the strict definition as they have a misplaced parenthesis and incorrect usage of logical connectives.

Therefore, the correct options that are propositional formulas according to the strict definition are (i), (ii), (iii), (iv), (v), and (viii).

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A propositional formula is a logical expression consisting of propositional variables and logical operators. Options (i), (ii), (iii), (iv), (v), and (viii) are all propositional formulas according to the strict definition.

A propositional formula, according to the strict definition, is a logical expression that consists of propositional variables (such as p, q, r) combined with logical operators (such as ∧, ∨, ¬). Let's examine each option:

Based on the strict definition given in the lecture, options (i), (ii), (iii), (iv), (v), and (viii) are all propositional formulas.

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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:

The number goes near -6

Step-by-step explanation:

Thenks and mark me brainliest :)

Answer: It's about -5.92 so close to negative -6

Step-by-step explanation:

Answer:

\(x=1\)

Step-by-step explanation:

\(\frac{3}{4}(12x-8)+3=10-\frac{1}{2}(6x+2)\)

\((9x-6)+3=10-(3x+1)\)

\(9x-6+3=10-3x-1\)

\(9x-3=9-3x\)

\(9x=12-3x\)

\(12x=12\)

\(x=1\)

To calculate the annualized rate of return, we can use the formula for compound interest. The correct answer is 11.66%.

The formula for compound interest is given by: A = P(1 + r)^t, where A is the final amount, P is the principal amount, r is the annual interest rate, and t is the time in years.

In this case, the initial investment (P) is BD 14,000, the final amount (A) is BD 52,600, and the time (t) is 12 years. We need to solve for the annual interest rate (r).

\(BD 52,600 = BD 14,000(1 + r)^{12}\)

By rearranging the equation and solving for r, we find:

\((1 + r)^{12} = 52,600/14,000\)

Taking the twelfth root of both sides:

\(1 + r = (52,600/14,000)^{(1/12)}\\r = 0.1166 / 11.66 \%\)

Therefore, Areej has earned an annualized rate of approximately 11.66% on this investment.

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The solution to this puzzle is 10+3 = 13

To solve this the values at the top of the star were gotten by the addition of two values inside the stars.

Therefore the answer to this question is 13.

Another way of getting the value is by adding 15 + 16 = 31

12 + 6 = 18

31-18 = 13

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These lines will be parallel to the initial line and will intersect the final velocity line at the corresponding values (122 for the lower estimate and 298 for the upper estimate)

To sketch the velocity against time, you can take the following steps:

First, calculate the acceleration using the given data by using the formula;

acceleration = (final velocity - initial velocity)/time

Where; Initial velocity is the velocity before applying the brakes

Final velocity is the velocity at which the car comes to stop

Time is the time it takes to stop the car (6 seconds in this case)

Now, calculate the lower and upper estimates using the formula;

Lower estimate = initial velocity + (acceleration x time)

Upper estimate = initial velocity + (2 x acceleration x time)

Sketch the graph using the following steps;

On the vertical axis, plot the velocity of the car

On the horizontal axis, plot the time

Start from the initial velocity and draw a straight line with the calculated acceleration until the end of the time (6 seconds)This straight line will give you the final velocity (0 in this case)

Now, draw two more lines, one with the lower estimate and the other with the upper estimate

Finally, label the axes and the lines with their corresponding values.'

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Answer:

rational / cannot  / does not

Step-by-step explanation:

Answer:

it would be 1/9 !!!!!!!!!!!!

Answer:

Step-by-step explanation:

Let L be the Length and W be the Width of a rectangle.

We are told that:    L = 4W   [the length of a rectangle is four times its width]

Perimeter = 2L + 2W

We learn that P ≤ 130 cm

2L + 2W ≤ 130 cm

Substitute L = 4W:  

2L + 2W ≤ 130 cm

2(4W) + 2W ≤ 130 cm

10W ≤ 130 cm

W ≤ 13 cm

Options:

2w + 2 • (4w) < 130     Not correct since the < sign does not allow for the "at most 130 cm.")

2w + 2 • (4w) > 130      Must be ≤, not >

2w + 2 • (4w) ≤ 130   This option works since the ≤ sign is correct.

Answer:

$526.3 is the monthly payment

Step-by-step explanation:

We use the compound interest formula to calculate the total amount payable on the loan.

Mathematically;

A = P(1 + r/n)^nt

Where A is the amount to pay

P is amount borrowed = 22,000

r is interest rate = 7.25/100 = 0.0725

t is years = 5 years

n is the number of times we compound lee year = 12 times since it’s monthly

Substituting these values, we have

A = 22,000(1 + 0.0725/12)^(12)(5)

A = 22,000(1 + 0.006041666666667)^60

A = $31,578

Monthly payment is total amount/ number of months

There are sixty months in 5 years

So monthly payment is 31578/60 = $526.3

Answer:

d. (-3,-1)

Step-by-step explanation:

The speed that an aeroplane is intended to fly at is called its maximum operating speed (VA). With elevations of 12, 15, and 18 degrees, the lift and G-force grow.

 Speed.

It is the rate at which a displacement adapts to its surroundings. A body's speed is a scalar quantity since it is directionless. It is also the rate at which displacement in relation to the environment is shifting in a particular direction.

Here,

The maximum operational speed of an aeroplane is the speed at which it is designed to fly (VA). Elevations of 12, 15, and 18 degrees result in increasing lift and G-force.

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Answer:

the most accurate argument is (C) The transportation and brokerage costs that Suriland's farmers would face if they sold their wheat outside Suriland could amount to almost a dollar per bushel.

Step-by-step explanation:

The cost of transportation and other logistics is being covered by the government that is why the government pay less than dollar per bushel.

so the price of the wheat would have to decrease at home so that the cost of the transportation can be covered by the government who are buying directly from the farmers.

Answer:

Step-by-step explanation:

From the information given, we need to get the rate of change of distance which is the velocity (slope.)

velocity = Δd/Δt

v = d2-d1/t2-t1

from the table;

when t = 2, d = 700

when t  = 3, d = 1050

v = 1050/750/3-2

v = 350/1

v = 350

Since v = d/t

350 = d/t

cross multiply

350t = d

Rearrange:

d = 350t

Hence the equation that represents the information is d = 350t

Answer:

D

Step-by-step explanation:

The bearing of C from A is 90 degrees when B is equidistant from A and C.

In navigation and geometry, bearing refers to the direction or angle between two points, measured clockwise from a fixed reference direction. Typically, bearings are measured in degrees, with 0 degrees indicating a direction due north, 90 degrees indicating a direction due east, 180 degrees indicating a direction due south, and 270 degrees indicating a direction due west. Bearings can be expressed as either magnetic bearings or true bearings, depending on the reference direction used.

Let's assume that the distance from B to A and from B to C is the same.

To find the bearing of C from A, we can use the fact that the interior angles of a triangle sum up to 180 degrees. Therefore, we can first find the bearing of A from C:

180 - 129 = 51

This means that the bearing of C from A is 51 degrees in the opposite direction of the bearing of A from C. Since the bearing of A from C is 219, the bearing of C from A is:

219 - 180 + 51 = 90 degrees

Therefore, the bearing of C from A is 90 degrees.

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Answer:

Step-by-step explanation:

13/40 it can not be simplified any further.

Sample 1: Mean=10.01, Standard deviation=13.90 Sample 2: Mean

=11.43, Standard deviation

=14.10

Sample size of 1st year = n1

= 1012Mean of 1st year sample

= X1 = 10.01Standard deviation of 1st year sample

= s1

= 13.90Sample size of 2nd year

= n2

= 1012Mean of 2nd year sample

= X2

= 11.43

Standard deviation of 2nd year sample = s2

= 14.10 Let us assume a significance level of α = 0.05, which implies that the critical region consists of 2.5% in both tails (since it is a two-tailed test).

Therefore, we do not have sufficient evidence to conclude that the mean number of hours per week spent on the Internet differs between 2010 and another year.

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Answer:

black

black

Step-by-step explanation:

Part A:What is the probability of getting a red jellybean on the first draw?

Given information: Red jellybeans = 12  Yellow jellybeans = 8  Green jellybeans = 4   Total jellybeans = 24                           The probability of getting a red jellybean on the first draw is:

Probability of getting a red jellybean=Number of red jellybeans/Total jellybeans=12/24=1/2=0.5

Decimal: P(1st Red)=0.5 Percent: P(1 st Red )=50%

Part B: Let's say you did get a red jellybean on the first draw.

What is the probability that you will then get a green on the second draw?

Now, the total number of jellybeans is 23, since one red jellybean has been taken out. The probability of getting a green jellybean is: Probability of getting a green jellybean=Number of green jellybeans/Total number of jellybeans=4/23=0.174 Decimal: P(2nd Green | 1st Red )=0.174 Percent: P(2nd Green | 1st Red )=17%

Part C: If you had gotten a yellow on the first draw, would your answer to Part B be different?

Yes, because there is only 1 rotten egg yellow jellybean and if it were chosen in the first draw, it would not be returned back to the container. Therefore, the total number of jellybeans would be 23 for the second draw, and the probability of getting a green jellybean would be:

Probability of getting a green jellybean=Number of green jellybeans/Total number of jellybeans=4/23=0.174

Thus, the answer would be the same as Part B.

Part D: What is the conditional probability of the dependent event "red then green?"

Given that one red jellybean and one green jellybean are selected: Probability of the first jellybean being red is 1/2

Probability of the second jellybean being green given that the first jellybean is red is 4/23

Probability of "red then green" is calculated as follows: Probability of red then green=P(Red) × P(Green|Red)= 1/2 × 4/23 = 2/23  Decimal: P(1st Red and 2nd Green )=2/23  Percent: P(1st Red and 2nd Green )=8.70%

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