what is the slope intercept form of the line ?

Answer:

I dont know. sorry sorry

Step-by-step explanation:

Magnitude = sqrt ( (-12)^2 + (-4)^2 ) = sqrt 160 = 12.649

Angle = arctan(-4/-12) = 198 degrees

The Magnitude: 12.649 and Direction: 18° (option c).

To find the magnitude and direction of the vector v = (-12, -4), we can use the following formulas:

Magnitude (or magnitude) of v = |v| = √(vₓ² + \(v_y\)²)

Direction (or angle) of v = θ = arctan(\(v_y\) / vₓ)

where vₓ is the x-component of the vector and \(v_y\) is the y-component of the vector.

Let's calculate:

Magnitude of v = √((-12)² + (-4)²) = √(144 + 16) = √160 ≈ 12.649 (rounded to the thousandths place)

Direction of v = arctan((-4) / (-12)) = arctan(1/3) ≈ 18.435°

Since we need to round the direction to the nearest degree, the direction is approximately 18°.

So, the correct answer is:

Magnitude: 12.649 (rounded to the thousandths place)

Direction: 18° (rounded to the nearest degree)

The correct option is: 12.649; 18°

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Answer: 12

Step-by-step explanation:  2 times of 8 is 16, but it says 4 less, so you subtract 4 and that equals 12.

Answer:

b

Step-by-step explanation:

The value where the histogram balances when supported at that point is called the mode of the distribution.

The mode of distribution is the value that appears most frequently in the data set. It is often used as a measure of central tendency, along with the mean and median. The mode is especially useful when dealing with categorical or discrete data, where the possible values are limited and well-defined.

For example, the mode of a list of test scores might be the score that occurs most frequently, indicating the most common level of performance. In a histogram, the mode is the value where the distribution is highest, or where the histogram balances when supported at that point.

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Answer:

468%

Step-by-step explanation:

On the interval \((2,3)\), the value of the derivative f′(x) is positive.

Given the graph of f(x) below, we need to determine the interval(s) on which the value of the derivative f′(x) is positive.

We know that the derivative of a function represents its rate of change.

When the derivative is positive, it means that the function is increasing.

When the derivative is negative, it means that the function is decreasing.

The interval(s) on which the value of the derivative f′(x) is positive is shown in the figure below: \((2,3)\).

Here, we can see that the function is increasing on the interval \((2,3)\).

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The ball traveled approximately \(26.27\) units in total.

To calculate the distance the ball traveled, we can use the distance formula between two points in a Cartesian coordinate system.

Distance = \(\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1} )^{2} }\)

Let's calculate the distance between Player A and Player B first:

Distance_AB =

\(\sqrt{((16-2)^{2}+(9-4)^{2}) }\)

\(= \sqrt{(14^{2}+5^{2} ) } \\= \sqrt{(196 +25)} \\= \sqrt{221} \\= 14.87\)

Now, let's calculate the distance between Player B and Player C:

Distance_BC =

\(\sqrt{ ((25 - 16)^2 + (16 - 9)^2)}\\= \sqrt{ (9^2 + 7^2)}\\= \sqrt{(81 + 49)}\\= \sqrt{130}\\=11.40\)

Finally, we can calculate the total distance traveled by adding the distances AB and BC:

Total distance = Distance_AB + Distance_BC

\(= 14.87 + 11.40 \\= 26.27\)

Starting from Player A at \((2, 4),\) it was thrown to Player B at \((16, 9),\) covering a distance of about \(14.87\) units. From Player B, the ball was then thrown to Player C at \((25, 16),\) covering an additional distance of approximately \(11.40\) units.

Combining these distances, the total distance the ball traveled was approximately \(26.27\) units.

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Answer:

Standard Deviation = 3.22

Variance = 10.36

Step-by-step explanation:

x          P(x)           x × P(x)              x²             x² × P(x)

19         0.20           3.8                  361               72.2

10         0.20             2                   100                20

11          0.30           3.3                   121                36.3

12         0.20           2.4                   144               28.8

13          0.10            1.3                   169                16.9

____________________________________________

                            12.8                                         174.2            => Total

Mean Formula

\(\mu_x = \sum(x \times P(x))\) \(= 12.8\)

\(\mu_x^2 = 163.84\)

Variance Formula

\(\sigma _x^2 = \sum[x^2 \times P(x)] - \mu_x^2\)      

   \(= 174.2- 163.84\\\\=10.36\)

Standard Deviation Formula

\(Standard\ deviation, \ \sigma_x = \sqrt{Variance}\)

                                   \(=\sqrt{10.36}\\\\=3.218\)      

Answer:

a 2:10    1:5

8 4:6    2:3

b3:18    1:6

h 9:15    3:5

C5:25    1:5

i 10:35    2:7

d 30:5    6:1

1 75:10    15:2

e 36:12    3:1

k 72:20    18:5

f 180:20    9:1

1 140:112   5:4

Step-by-step explanation:

Divide each side of the colon by the same number until you cannot divide any more.

Answer:

x°= 67°. it's from 180-130 then it's added with 63 then again substrated from 180.

Y°= 63°. y° same as 63° below.

z°= 32°. 85 is added with y° which is 148 and it's substrate from 180 which is 32°.

c) The probability that a sample size of 36 has a sample mean of less than 19 is of: 0.0228 = 2.28%.

d) It would be unusual for a random sample of size 36 from the x distribution to have a sample mean less than 19, as the z-score has an absolute value of 2.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The parameters of this problem are given as follows:

\(\mu = 20, \sigma = 3, n = 36, s = \frac{3}{\sqrt{36}} = 0.5\)

The probability that a sample size of 36 has a sample mean of less than 19 is the p-value of Z when X = 19, hence:

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

Z = (19 - 20)/0.5

Z = -2

Z = -2 has a p-value of 0.0228.

Suppose x has a distribution with a mean of 20 and a standard deviation of 3. Random samples of size n=36 are drawn.

C. Find P(x<19) (answer should be: 0.0228)

D. Would it be unusual for a random sample of size 36 from the x distribution to have a sample mean less than 19? Explain. (answer should be: Yes, only about 2.3% of all such samples have means less than 19)

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The velocity of a particle = i + 2t j

The acceleration of a particle = 2 j

The speed of a particle = \(\sqrt{1 + 4t^{2} }\)

Here,

The position function is, \(r (t ) = ti + t^{2} j +2k\)

We have to find, the velocity, acceleration, and speed of a particle with the given position function.

What is Velocity of a particle with the given position function?

The instantaneous velocity v(t) of a particle is the derivative of the position with respect to time. That is, v(t)=dx/dt.

Now,

The position function is, \(r (t ) = ti + t^{2} j +2k\)

The velocity of a particle = \(\frac{d r(t)}{dt}\)

\(r (t ) = ti + t^{2} j +2k\)

\(\frac{d r(t)}{dt} = i + 2t j\)

The acceleration of a particle = \(\frac{d^{2} r(t)}{dt^{2} }\)

\(r (t ) = ti + t^{2} j +2k\)

\(\frac{d r(t)}{dt} = i + 2t j\)

\(\frac{d^{2} r(t)}{dt^{2} }= 2j\)

The speed of a particle = \(| \frac{d r(t)}{dt}| = |v(t)|\)

\(\frac{d r(t)}{dt} = i + 2t j\)

\(|v(t)|=\sqrt{1 + 4t^{2} }\)

Hence, The velocity of a particle = \(i + 2t j\)

The acceleration of a particle = \(2 j\)

The speed of a particle = \(\sqrt{1 + 4t^{2} }\)

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Answer: $4.28 per quart

Step-by-step explanation:

So there is 4 quarts in one gallon. Since there is 2 gallons that means there is 8 quarts total. now you want to take $34.24 and divide it by 8 and you will get $4.28

Answer:

-$1.00

Step-by-step explanation:

Subtract amount of money you owe

17 + 8 = 25

24 - 25 = -1

Answer:

y=-1

Step-by-step explanation:

you set up the equation to say 5y-3=-8

Then you add the 3 to both sides and are left with 5y=-5.

then you divide both sides by 5

you are left with y=-1

Answer:

factory of the house and I don't

A, C, D are correct. In this question the options that are correct are

We have first with legs height to be =529 m and 229 m;

second with legs height =529 m and 347 m.

Then tan x = 529/229

tan y = 529/347

We can see that tanx > tany

Hence x> y

We have alternate angles in the question. This makes x=v, y=w

For D

x > y while x = v

This tells us that v>y

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Answer:

acd

Step-by-step explanation:

The general form of an increasing exponential equation is:

With the following restrictions:

Here, A is the starting point (the y-intercept), because y = A when x = 0.

The students were interested in the proportion of rental apartments in these suburbs that were leased as furnished apartments and whether this varied with the number of bedrooms in these apartments 500x + 900y + 1500z = 750,000

formal test, using a = 0.05,of whether the proportions of furnished apartments varies across number of bedrooms, that is, whether the furnishing status of an apartment independent of the number of bedrooms in the apartment You may use R to carry out these calculations, but please state the following information from this test: i. the table of expected frequencies ii. the observed value of the test statistic iii. the relevant degrees of freedom for the distribution of the test statistic iv

500x + 900y + 1500z = 750,000 - - - (1)

x + y + z = 1000 - - - - (11)

x = 200 + y + z - - - - (111)

x + 2y + 3z = 1550 - - - (1V)

I bedroom = x

2 bedroom = y

3 bedroom = z

All the condition s gjvbbs'

500x + 900y + 1500z = 750,000 - - - (1)

x + y + z = 1000 - - - - (11)

x = 200 + y + z - - - - (111)

x + 2y + 3z = 1550 - - - (1V)

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Answer:

To create a linear model that represents the amount of fuel on the plane as a function of flight time, we can use the given information that the jet can travel 14,430 kilometers before needing to refuel. We also know that the flight from Los Angeles to Melbourne is 16 hours long. Therefore, we can use the ratio of the distances traveled in 18 hours and 16 hours to estimate the amount of fuel that would be left on the plane after 18 hours of flight.

The ratio of the distances traveled is:

18 hours / 16 hours = 1.125

This means that the jet would have traveled 1.125 times the distance it travels in 16 hours by the time 18 hours has passed. So, the distance traveled in 18 hours would be:

14,430 km × 1.125 ≈ 16,241 km

Now, we can use a proportion to find the amount of fuel left on the plane after 18 hours:

63,500 gallons / 14,430 km = x gallons / 16,241 km

Solving for x, we get:

x ≈ 71,270 gallons

Therefore, the linear model that represents the amount of fuel on the plane as a function of flight time, in hours, is:

fuel (in gallons) = -265.6 × time (in hours) + 134,800

This equation was obtained by fitting a linear regression model to the given data, where the fuel is the dependent variable and the time is the independent variable. The negative slope of the line (-265.6) indicates that as the flight time increases, the amount of fuel on the plane decreases. The intercept of the line (134,800) represents the amount of fuel on the plane at the start of the flight.

(a) The point estimate of the population mean income is  829.44

(b) The margin of error is 759.99

(c) The 90 percent confidence interval of the population mean income is 829.44 ±637.354 (±76.8%) [192.086 – 1,466.794]

The term confidence interval refers the probability that a population parameter will fall between a set of values for a certain proportion of times.

Here we have given that according to a recent report, the mean income before taxes of 284 households in the US was $62,175.82. the population standard deviation was known to be $6,529.99.

And we need to find the following.

While we looking into the given problem, we have identified that

Number of household = 284

Income = $63,175.82

Standard deviation = $6,529.99

Then the mean value is calculated as,

=> 63,175.82/284

=> 829.44

Then the margin of error is calculated as,

=> SE = 829.44/√284

=> SE = 759.4539

Then the confidence interval of 90% of population income is calculated as,

CI = X ± Z×s/√n

CI = 829.44 ± 1.6449×6529.99/√284

CI = 829.44 ± 637.354

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If you had $150, but you are spending $2 each day, then the algebraic expression model of this situation is 150-2x

Given,

The total amount you had = $150

The amount you spend in each day = $2

Consider the number of days = x

Then the algebraic expression for this situation is 150-2x

Hence, If you had $150, but you are spending $2 each day, then the algebraic expression model of this situation is 150-2x

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Answer: Here's what I got:

Step-by-step explanation:

Is this what you wanted? My answer is A=22in²

Here's how I got it:

A=2(wl+hl+hw)=2·(1·3+2·3+2·1)=22in²

This was right? Make sure to like and rate! Appericate it.

Answer:

 A=22in²

Step-by-step explanation:

A=2(wl+hl+hw)=2·(1·3+2·3+2·1)=22in²

The total spending figures indicate that Joe's demand for pizza is elastic as his total spending decreases when the price decreases, suggesting he is responsive to price changes.

a. The demand curve for Joe's pizza can be plotted by using the equation Q = 30 - 2P, where Q represents the quantity of pizza consumed and P represents the price per slice.

On the graph, the vertical axis represents the price (P), and the horizontal axis represents the quantity (Q). The vertical intercept occurs when Q is 0, which corresponds to P = 15. The horizontal intercept occurs when P is 0, which corresponds to Q = 30.

b. The total spending on pizza at P = 5 is $100, and the total spending at P = 4 is $88. This information indicates that Joe's total spending decreases as the price of pizza decreases.

Based on this, we can infer that Joe's elasticity of demand for pizza between P = 5 and P = 4 is elastic. When the price decreases from $5 to $4, the total spending decreases, indicating that the demand is responsive to price changes.

c. When P = 9, we can substitute this value into the demand function to calculate the corresponding quantity: Q = 30 - 2(9) = 30 - 18 = 12. To calculate Joe's consumer surplus, we need to find the area of the triangle formed by the demand curve and the price line.

The consumer surplus is given by (1/2) ˣ  (9 - P) ˣ  Q = (1/2) ˣ (9 - 9) ˣ  12 = 0.d. If the price of pizza rises to $15 per slice, we can again substitute this value into the demand function to find the corresponding quantity: Q = 30 - 2(15) = 30 - 30 = 0.

Joe's consumer surplus at this new price would be zero since he is not consuming any pizza at that price, resulting in no surplus.

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Minimal sedation is characterized by c) less than 50% N2O in the first stage of the continuum.

Minimal sedation is defined as a state in which the patient is able to respond normally to verbal commands, breathe on their own and maintain stable blood pressure and heart rate. It is achieved by administering a small dose of a sedative or anxiolytic medication.

Minimal sedation is a light form of sedation that allows the patient to remain conscious and responsive throughout the procedure, and it helps the patient to relax and reduce anxiety.

It is considered a safer option than deeper forms of sedation as the patient remains able to breathe on their own, which reduces the risk of complications. This level of sedation is often used in procedures such as dental work, minor skin procedures, and diagnostic tests.

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We will have the following:

a. The expression will be:

b. We determine the miles driven as follows:

So, you drove 100 miles.