What is the least number n with the property that, in every group of n people, there are at least three people who are all friends

tan(t) = √(sec(t)² -1) is the first expression in terms of the second if the terminal point determined by t is in the given quadrant

Given,

tan t, sec t; Quadrant III

We have to write   the first expression in terms of the second if the terminal point determined by t is in the given quadrant

Quadrant;

The coordinate system's two axes, the x-axis and the y-axis, constitute a region called a quadrant. The quadrants are generated when the two axes, the x-axis and the y-axis, cross at a 90-degree angle. These areas include coordinates, or positive and negative values of the x- and y-axes.

Here,

The relation between tan and sec;

tan(t)² +1 = sec(t)²

Now,

tan(t) = ±√(sec(t)² -1)

In the third quadrant the tangent is positive;

Then,

tan(t) = √(sec(t)² -1)

That is,

The expression we need here is tan(t) = √(sec(t)² -1)

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The insurance company would pay a total of $101,000 for the medical expenses resulting from the accident.

In this scenario, Sally's car insurance policy has coverage limits of 100/300/50. These numbers represent the maximum amount the insurance company will pay for different types of damages in an accident. Let's break down what these numbers mean in the context of the collision.

The first number, 100, represents the maximum amount (in thousands of dollars) that Sally's insurance company will pay for bodily injury per person. Since Sally sustained $150,000 in injuries and her passenger sustained $1,000 in injuries, the insurance company will cover Sally's medical expenses up to the policy limit, which is $100,000.

The second number, 300, represents the maximum amount (in thousands of dollars) the insurance company will pay for bodily injury per accident. In this case, both Sally and her passenger were injured, so the insurance company will cover their combined medical expenses up to the policy limit, which is $300,000.

The third number, 50, represents the maximum amount (in thousands of dollars) the insurance company will pay for property damage per accident. However, since the question only mentions injuries and not property damage, we can disregard this number for now.

Therefore, the total medical expenses the insurance company would pay for this accident would be $100,000 for Sally's injuries and $1,000 for her passenger's injuries, totaling $101,000.

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Answer:

2/9 or .22 repeating

Step-by-step explanation:

P(red,red) = \(\frac{5}{10}\) · \(\frac{4}{9}\) = 2/9 reduced form

The difference between their yearly incomes is $31,304.

To calculate each person's yearly income, we need to multiply their weekly income by the number of weeks in a year. Assuming there are 52 weeks in a year, the yearly income can be calculated as follows:

For the student who drops out of high school:

Yearly Income = Weekly Income x Number of Weeks

= 451 x 52

= 23,452

For someone with a bachelor's degree:

Yearly Income = Weekly Income x Number of Weeks

= 1053 x 52

= 54,756

The difference between their yearly incomes can be found by subtracting the student's yearly income from the bachelor's degree holder's yearly income:

Difference = Bachelor's Yearly Income - Student's Yearly Income

= 54,756 - 23,452

= 31,304

Therefore, the difference between their yearly incomes is $31,304.

It is important to note that these calculations are based on the given information and assumptions. The actual yearly incomes may vary depending on factors such as work hours, additional income sources, deductions, and other financial considerations.

Additionally, it is worth considering that educational attainment is just one factor that can influence income, and there are other variables such as experience, job type, and market conditions that may also impact individuals' earnings.

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The values of x for which f(x) = 7 are x = 61 and x = 21.

To find the values of x for which f(x) = 7, we can set up the equation and solve for x.

The given function is f(x) = 0.5|x - 41| - 3.

Setting f(x) equal to 7, we have:

0.5|x - 41| - 3 = 7.

First, let's isolate the absolute value term:

0.5|x - 41| = 7 + 3.

0.5|x - 41| = 10.

To remove the absolute value, we can consider two cases:

Case: (x - 41) is positive or zero:

0.5(x - 41) = 10.

Multiplying both sides by 2 to get rid of the fraction:

x - 41 = 20.

Adding 41 to both sides:

x = 61.

So x = 61 is a solution for this case.

Case: (x - 41) is negative:

0.5(-x + 41) = 10.

Multiplying both sides by 2:

-x + 41 = 20.

Subtracting 41 from both sides:

-x = -21.

Multiplying both sides by -1 to solve for x:

x = 21.

So x = 21 is a solution for this case.

Therefore, the values of x for which f(x) = 7 are x = 61 and x = 21.

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The measure of the angles are;

<KL = 23 degrees

m<LON is 23 degrees

m<OM = 113 degrees

m<KNL = 23 degrees

m<NL = 157 degrees

To determine the measures of the arc, we need to note the following;

From the information shown in the diagram, we have;

<KL +<KM = 90 degrees

Now, substitute the values

<KL + 67 = 90

collect like terms

<KL = 23 degrees

m<LON and <KL are corresponding angles

Then, m<LON is 23 degrees

m<OM = m<LON + 90 degrees

Substitute the values

m<OM = 113 degrees

m<KNL = 23 degrees

m<NL = 90 + <LM

Substitute the values

m<NL = 157 degrees

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Answer:

9 is the answer for the y variable

Answer:

The best way to find the y-intercept is to convert this standard form equation into slope-intercept form.

Slope-Intercept form: y = mx + b, with m = slope and b = y-intercept

Firstly, subtract 6x on both sides of the equation:

Next, divide both sides by 2 and your slope intercept form is  . And looking at this form, we see that the y-intercept is (0,6).

Next, to find the x-intercept, plug in 0 into the y-variable and solve for x:

Your x-intercept is (2,0).

Total number of possible outcomes:

Number of ways to choose 3 numbers from 56 (56 choose 3): 56! / (3! * (56 - 3)!) = 22,957

Number of ways to choose 1 number from 49: 49

Total number of possible outcomes = 22,957 * 49 = 1,128,593

Number of favorable outcomes:

Number of ways to choose 1 number from 49: 1

Number of favorable outcomes = 1

Probability of winning the minimum award:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 1 / 1,128,593 ≈ 0.000000888, or approximately 0.0000888%

Remember that

The probability values cannot be greater than 1

so'

the fraction

55/27 > 1

therefore

Answer:

Solution:

Hi! The given fraction could never represent probability. The reason for that is: Probability cannot be greater than 1.

Remember, the formula for probability is:

\(\hfill\stackrel{\sf{Probability\:Formula}}{\boxed{\boxed{\sf{{Probability=\frac{Favourable\:Outcomes}{Total\:Outcomes}}}}}}\)

The number of favourable outcomes cannot be greater than the number of total outcomes. Therefore, probability cannot be greater than 1. Therefore, the given fraction could never represent probability.

Problem solved! It's been a pleasure helping you.

Answer:

yes because they are smaller two sides than the largest one

The correct statement regarding the residual in this problem is given as follows:

2.66; The line of best fit underpredicts the temperature change.

For a data-set, the definition of a residual is that it is the difference of the actual output value by the predicted output value, that is:

Residual = Observed - Predicted.

For a rain amount of 0.4 inches, the predicted temperature change is given as follows:

y = -1.4 x 0.4 + 0.2

y = -0.36.

Then the residual is given as follows:

R = 2.3 - (-0.36)

R = 2.66 -> underpredicts the change.

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Answer:

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sofiapenaloza

05/31/2023

Mathematics

College

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The equation for the line of best fit for change in temperature, y, to amount of rain, r, is given by ŷ = − 1.4r + 0.2. On Monday, the observed amount of rain was 0.4 inches and the temperature change was 2.3 degrees. Find and interpret the residual.

2.66; The line of best fit overpredicts the temperature change.

2.66; The line of best fit underpredicts the temperature change.

1.94; The line of best fit underpredicts the temperature change.

−1.94; The line of best fit overpredicts the temperature change.

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joaobezerra

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The correct statement regarding the residual in this problem is given as follows:

2.66; The line of best fit underpredicts the temperature change.

What are residuals?

For a data-set, the definition of a residual is that it is the difference of the actual output value by the predicted output value, that is:

Residual = Observed - Predicted.

For a rain amount of 0.4 inches, the predicted temperature change is given as follows:

y = -1.4 x 0.4 + 0.2

y = -0.36.

Then the residual is given as follows:

R = 2.3 - (-0.36)

R = 2.66 -> underpredicts the change.

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Step-by-step explanation:

Step-by-step explanation:

Your question is incomplete please edit it.

Answer:

31 people

Step-by-step explanation:

think of it like a line,

first person at zero then add 3 feet per person so...

1 + 90/3 = 31 people

kinda funny that the problem isnt accounting for the size of the people

Answer:

Step-by-step explanation:

Only j,q,k beat 10 and there are four each of them so there are 12 cards that will beat the ten. 4 cards have already been drawn so there are 52-4=48 cards left in the deck, so the probability of beating the 10s is

12/48

1/4

Which is 25%

It is proved that m = √n.

To prove that given a nonnegative integer n, there is a unique nonnegative integer m, we just need to take the square root of the given equation:

m^2 ≤ n < (m + 1)^2.

So, after taking the square root, it will be:

m ≤ √n < m + 1

From that we can see m = √n is the unique m.

A nonnegative integer is an integer which is either positive or zero. It is the union of the natural numbers and the number zero. Occasionally, it is referred to as Z*, and it can be described as the set {0, 1, 2, 3, 4, 5, …}. In other words, nonnegative integers are integers that are not negative.

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Although part of your question is missing, you might be referring to this full question: Prove that given a nonnegative integer n, there is a unique nonnegative integer m such that m^2 ≤ n < (m+1)^2.

The area of the smaller rectangle (KLMN) is 16.

Since rectangles ABCD and KLMN are similar, their corresponding sides are proportional.

Let's assume the length of side AB in rectangle ABCD is x, and the length of side KL in rectangle KLMN is y.

We can set up the proportion:

(x/y) = (20/16)

To find the area of the smaller rectangle, we need to determine the ratio of their areas.

Since the area of a rectangle is given by the product of its length and width, the ratio of the areas will be equal to the square of the ratio of their sides:

(Area of ABCD)/(Area of KLMN) = (x²)/(y²)

We are given that the area of ABCD is 25, so we have:

25/(Area of KLMN) = (x²)/(y²)

To find the area of KLMN, we need to substitute the values of x and y from the proportion:

25/(Area of KLMN) = (20/16)²

Simplifying the right side:

25/(Area of KLMN) = (5/4)²

25/(Area of KLMN) = 25/16

Cross-multiplying:

25 × 16 = 25 × (Area of KLMN)

400 = 25 × (Area of KLMN)

Dividing both sides by 25:

16 = Area of KLMN

Therefore, the area of the smaller rectangle (KLMN) is 16.

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The frequency which is to filled in the table is 1, 4, 2 and 4.

Given that;

All shopping time of ten shopkeeper:

25, 29, 25, 18, 24, 28, 36, 25, 33, 37

We have to complete the frequency in the table. Frequency of something is the number of times that number is coming.

Since, Shopping time is given as ,

25, 29, 25, 18, 24, 28, 36, 25, 33, 37

And, Intervals for which frequency is given is ,

18 to 22, 23 to 27, 28 to 32, 33 to 37.

Hence, WE get;

Numbers in the range 18 to 22 = 18  therefore 1

Numbers in the range 23 to 27 = 25, 25, 24, 25 therefore 4

Numbers in the range 28 to 32 = 29, 28  therefore 2

Numbers in the range 33 to 37 = 36, 33, 37,  therefore 3

Hence, the frequency which is to filled are 1, 4, 2 and 4.

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Answer:

A(-6,1)    I(-6,-2)     N(-3,4)     H(5,-2)      P(2,2)     M(0,-4)      O(-6,-4)      E(-3,-3)      

L(-4,0)

Step-by-step explanation:

Answer:

A = (-6,1)

B = (-1, 3)

C = (0,0)

D = (6,3)

E = (-3,-3)

F = (3,0)

G = (2, -3)

H = (5, -2)

I = (-6, -2)

J = (-5, 3)

K = (2, 4)

L = (-4, 0)

M = (0,-4)

N = (3, 4)

O = (6, -4)

P = (2, 2)

Step-by-step explanation:

For coordinates on a graph, the form is: (x,y) where x left-to-right position and y is the up-and-down position. For x, the left direction is negative and the right direction is positive. For y, down is negative and up is positive. For the coordinates start in the center (where C is) and count how many boxes in the x direction, and then the boxes in the y direction and record your answer.

Answer:

1. Yes, all of the measurements are equal

2. A

3. B

4. B

Step-by-step explanation:

1. Congruent shapes have all equal measurements

2. If they are congruent, the sides that align with each other are also congruent

3. If they are congruent, the angles that align with each other are also congruent

4. If they are congruent, then <B and <E are equal to each other... <B = 65 degrees meaning so does <E

- hope this helps! :)

Using linear function you would need to cross the bridge 30 times for the costs of the two toll options to be the same.

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Answer: 57 ft²

Step-by-step explanation:

Find the areas of the two individual rectangles and then add that up to find the area of the figure:

Rectangle A:                                                             Rectangle B:

= Length * Width                                                       = 11.5 * 3

= 7.5 * 3                                                                     = 34.5ft²

= 22.5 ft²

Area of figure:

= 22.5 + 34.5

= 57 ft²

Answer:

I am 99.9% sure it is 57 square feet.

If I am wrong sorry!

Step-by-step explanation:

Have a good rest of your day or night and good luck on your test!

<3 <3 <3

Answer:

where is the image that can show the triangle?? how can we answer your question if its incomplete?

Answer:

987

Step-by-step explanation:

Clue 4: There is no 2, 4, 5.

Clues 1 & 2: There is no 1.

7 must be on the right.

_ _ 7

Clue 5: 9 is in the first or second place

9 _ 7   or   _ 9 7

937 or 987 or 397  or 897

Try all 4 possibilities above through all 5 clues.

Only 987 works.

Answer: 987

9514 1404 393

Answer:

  A  irrational, because its decimal expansion does not repeat

Step-by-step explanation:

8 is not a perfect square integer. The closest ones are 2² = 4 ad 3² = 9. The square root of an integer that is not a perfect square is irrational. That is, the decimal expansion does not end and does not repeat.

  √8 is irrational

Answer:

1584$

Step-by-step explanation:

Original price is 1800$ (100%)

Discount percent: 12%

=> The price after discount is 100 - 12 = 88% of original price

=> The price after discount is 1800 x 88% = 1800 x 88/100 = 1584$

Answer:

13200

Step-by-step explanation:

12% - 1800

100% - x

X = (1800x100)/12 = 15000 - original price

15000-1800 = original price - discount = 13200 price after discount

Based on the given information, the second brand, Cola, is the more affordable option in terms of cost per milliliter compared to Co Fizz.

To determine which brand of cola is more expensive, we need to compare the cost per unit volume for each brand.

For the first brand, Co Fizz, a pack contains 4 bottles, and each bottle has a volume of 500 ml. The cost of the pack is $2.50. Therefore, the total volume in a pack is 4 * 500 ml = 2000 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2.50 / 2000 ml = $0.00125 per ml.

For the second brand, Cola, a pack contains 10 bottles, and each bottle has a volume of 330 ml. The cost of the pack is $2. Therefore, the total volume in a pack is 10 * 330 ml = 3300 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2 / 3300 ml ≈ $0.000606 per ml.

Comparing the two brands, we can see that the cost per milliliter for Co Fizz is $0.00125, while the cost per milliliter for Cola is approximately $0.000606.

Since the cost per milliliter for Co Fizz is higher than the cost per milliliter for Cola, it can be concluded that Co Fizz is more expensive in terms of price per unit volume.

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The line parallel to y axis is x=4

The correct option is (C)

Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect.

We have to find the line which is parallel to y- axis

the equation of line parallel to the y-axis is given by the equation: x = k.

So, x=4 is parallel to y-axis.

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The equation of the line that passes through point (-3,-7) and point (-3,10) is x = -3.

The formula for equation of line is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

Given the points through which the line passes: (-3,-7) and (-3,10).

The two given points (-3, -7) and (-3, 10) have the same x-coordinate -3

Hence, the two lines  lie on a vertical line.

since the slope of the vertical line is undefined.

The equation of the line passing through these two points is simply the equation of the vertical line:

x = -3

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Answer:

6400

Step-by-step explanation:

6428

4 is in the hundreds place

looking at the tens place = 2

Since it is less than 5

We leave the hundreds place alone

6400