determine the quadrant containing the terminal side of an angle of t radians in standard position under the given conditions.cos t > 0 and sin t < 0

For a line plot of data values of a data set present in above figure, the outlier is one of data set value which is equals to the 0.1. So, option(a) is right one.

Outlier is a data value that differ significantly from other values in the dataset. That is, outliers are values that deviate significantly from the mean. In general, outliers affect the mean, but not the median or mode. Therefore, the effect of outliers on the mean is significant. We have a line plot of data set present in above figure. We have to determine the data value would be considered the outlier. From the above discussion about outliers, we can say that outlier is a data value far beyond the meaning of statistical methods. So, after watching the above graph carefully, the data value 0.1 is far away from other data values and mean of values. So, outlier is 0.1.

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Complete question:

The above figure complete the question.

Which data value would be considered the outlier? Enter your answer in the box.

a) 0. 1

b) 0. 2

c) 0. 3

d) 0. 4

e) 0. 5

f) 0. 6

g) 0. 7

The resulting graph will have two surfaces, one for a = 1 and one for a = 3, displayed on the same graph with a shared colorbar.

Here's an example MATLAB code that generates a 3D surface graph of the functions

z=sin(x−a)cos(y−a) with with a=1 and a=3 on the same graph:

% Define the range of x and y values

x = linspace(-2*pi, 2*pi, 100);

y = linspace(-2*pi, 2*pi, 100);

% Create a meshgrid of x and y

[X, Y] = meshgrid(x, y);

% Define the values of a

a1 = 1;

a2 = 3;

% Compute the values of z for each (x, y) pair

Z1 = sin(X-a1).*cos(Y-a1);

Z2 = sin(X-a2).*cos(Y-a2);

% Create a new figure

figure;

% Plot the surface graph for a = 1

subplot(1, 2, 1);

surf(X, Y, Z1);

title('a = 1');

xlabel('x');

ylabel('y');

zlabel('z');

% Plot the surface graph for a = 3

subplot(1, 2, 2);

surf(X, Y, Z2);

title('a = 3');

xlabel('x');

ylabel('y');

zlabel('z');

% Adjust the viewing angle

view(45, 30);

% Add a colorbar

colorbar;

This code uses the meshgrid function to create a grid of x and y values, computes the corresponding values of z for each (x, y) pair, and plots the surface graphs using the surf function. The subplot function is used to create two subplots for the different values of a, and the view function adjusts the viewing angle. The resulting graph will have two surfaces, one for a = 1 and one for a = 3, displayed on the same graph with a shared colorbar.

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Answer:

I dont know hahaha its so hard for me

The Probability that the tennis team won 9  games is 1.35% , under the given condition that the tennis team wins 73% of their game,  if they play 10 games.

Therefore, probability of winning nine games out of ten with a 73% win rate can be evaluated using the binomial distribution formula
\(P(X=k) = (n choose k) * p^k * (1-p)^{(n-k)}\)

Here
P(X=k) = probability of winning k games out of n games
n = total number of games played (n=10)
k = number of games won (k=9)
p = probability of winning a single game (p=0.73)

Staging the values in the formula
\(P(X=9) = (10 choose 9) * 0.73^9 * (1-0.73)^{(10-9)}\)
= ( 10 - 9) x (0.05) x ( 0.27)¹

= 1 x 0.05 x 0.27

= 0.0135

Converting into percentage

0.0135 x 100

= 1.35%

The probability that the tennis team won 9  games is 1.35% , under the given condition that the tennis team wins 73% of their game,  if they play 10 games.

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Each element of D8 is mapped to a permutation of {1, 2, 3, 4, 5, 6, 7, 8} by considering its action on the labeled generators 1, 2, ..., 8 under composition.

The elements of D8 are 1, r,\(r^2, r^3, s, sr, sr^2, sr^3,\) which we can label with the integers 1, 2, 3, 4, 5, 6, 7, 8 respectively. The left regular representation of D8 into S8 is given by:

1 → (1)(2)(3)(4)(5)(6)(7)(8)

r → (1 2 3 4)(5 6 7 8)

\(r^2\) → (1 3)(2 4)(5 7)(6 8)

\(r^3\)→ (1 4 3 2)(5 8 7 6)

s → (1 2)(3 4)(5 6)(7 8)

sr → (1 8 3 6)(2 7 4 5)

\(sr^2\)→ (1 4)(2 3)(5 8)(6 7)

\(sr^3\) → (1 6 3 8)(2 5 4 7)

Here, each element of D8 is mapped to a permutation of {1, 2, 3, 4, 5, 6, 7, 8} by considering its action on the labeled generators 1, 2, ..., 8 under composition.

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We have exhibited the image of each element of D8 under the left regular representation into S8, represented as a product of disjoint cycles.

The left regular representation of D8 is a homomorphism from D8 to the symmetric group S8, where each element of D8 is represented as a permutation of the set {1, 2, ..., 8}.

Using the generators r and s, we can construct the elements of D8 as follows:

\(r^0\) = 1

\(r^1\)= r

\(r^2\) = rr

\(r^3\) = rrr

\(s^0\)= 1

\(s^1\) = s

\(s^2\) = 1

\(s^3\) = ss

Now, let's apply the left regular representation to each element of D8:

1 → (1 2 3 4 5 6 7 8)

r → (1 2 3 4 5 6 7 8)(1 2)

\(r^2\) → (1 2 3 4 5 6 7 8)(1 3)(2 4)

\(r^3\)→ (1 2 3 4 5 6 7 8)(1 4 3 2)

s → (1 8)(2 7)(3 6)(4 5)

sr → (1 7 3 5)(2 8 4 6)

\(sr^2\) → (1 6 3 2)(4 7 5 8)

\(sr^3\) → (1 5)(2 6)(3 7)(4 8)

Note that we can represent each permutation as a product of disjoint cycles, where each cycle corresponds to an orbit under the action of the permutation. For example, the permutation corresponding to r is a product of two cycles: (1 2) and (3 4 5 6 7 8). This means that r fixes the elements 1 and 2, and permutes the elements 3, 4, 5, 6, 7, and 8 cyclically. Similarly, the permutation corresponding to s is a product of four cycles: (1 8), (2 7), (3 6), and (4 5), which means that s fixes the pairs (1, 8), (2, 7), (3, 6), and (4, 5), and transposes each pair.

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The correct formula for the revenue generated by the item is Revenue = 200p - 5p^2.

The revenue generated by the item can be calculated by multiplying the price (p) by the unit sales (200 - 5p). Therefore, the correct formula for the revenue generated by the item is:

Revenue = Price x Unit Sales
Revenue = p(200 - 5p)
Revenue = 200p - 5p^2

The revenue generated by the item is a quadratic function of the price (p). To find the maximum revenue, we need to differentiate the function with respect to p and set it equal to zero:

dRevenue/dp = 200 - 10p = 0
10p = 200
p = 20

Therefore, the maximum revenue is generated when the price of the item is $20. Substituting p = 20 in the revenue formula, we get:

Revenue = 200(20) - 5(20^2) = $2000

Hence, the correct formula for the revenue generated by the item is Revenue = 200p - 5p^2, and the maximum revenue is achieved when the price of the item is $20, generating a revenue of $2000.

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Answer:\(a^5=\frac{4}{5}\)

Step-by-step explanation:

The 5th term of the arithmetic sequence is 4/5

What is Arithmetic Progression?

An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"

The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁

Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]

Given data ,

Let the arithmetic progression be represented as A

Now , the value of A is

A = 1/5 , 7/20 , 1/2 , 13/20 ....

Now , the first term of the arithmetic sequence is a₁ = 1/5

The second term a₂ = 7/20

The common difference d = second term - first term

So , the common difference d = 7/20 - 1/5

The value of d = 3/20

Now , the nth term of the AP is given by

Tn = a + (n - 1) d, where Tₙ = nth term

Substituting the values in the equation , we get

T₅ = ( 1/5 ) + ( 5 - 1 ) ( 3/20 )

On simplifying the equation , we get

T₅ = ( 1/5 ) + ( 4 x 3 ) / 20

T₅ = 1/5 + 12/20

T₅ = 16/20

T₅ = 4/5

Therefore , the value of T₅ is 4/5

Hence , the 5th term of the arithmetic sequence is 4/5

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The scale of measurement used for the type of college, i.e., community colleges, 4-year colleges, and universities, is a nominal scale.

A nominal scale is used for variables that can be classified into distinct categories, but there is no inherent order or numerical value associated with them. In this case, the three types of colleges are discrete categories, and there is no inherent order or numerical value assigned to them.

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Answer:

81 cars

756 trucks

63 wheelers

Step-by-step explanation:

1 mile = 5280 feet

So the jam is 10 miles = 52800 feet

Cars' length = 2 % of the 52800 = 1056 feet

Trucks' length =  29%  of the 52800= 15312 feet

Wheelers' length = 9%of the 52800= 4752 feet

Average car is 13 feet in length

The number of cars = 1056 feet/13= 81.23 almost 81 cars

The average truck is 20 feet in length

Number of trucks in 15312 feet=15312 feet/20= 765.6= 756 trucks

The average 18 wheeler is 75 feet in length.

Number of wheelers in 4752 feet= 4752 feet/75= 63.36= 63 wheelers

Answer:

Slope = \(-\frac{1}{6}\)

Step-by-step explanation:

Slope = \(\frac{Rise}{Run}\)

Slope = \(\frac{6-10}{24-0}\)

Slope = \(-\frac{1}{6}\)

Answer:

-1/6

Step-by-step explanation:

Just use the formula Y2-Y1/X2-X1.

In this case if you substitute the coordinates of those numbers, then it would be 6-10/24-0 which is 24/-4 and if you simplify it, then you get the slope -1/6.

Answer:

\(y = \frac{3}{5}x-\frac{8}{5}\)

Step-by-step explanation:

3x - 5y - 8 = 0

         -5y = -3x + 8

Divide the whole equation by (-5)

\(\frac{-5y}{-5}=\frac{-3x}{5}+\frac{8}{-5}\\\\y = \frac{3}{5}x-\frac{8}{5}\)

This is a pond in the shape of a prism. It is completely full of water. Colin has to wait for the pond to completely empty is 2hrs and 30minutes.

We have a pond which is completely filled with the water.

Area of the side face ( trapezium shaped)

= 1/2 x (1.4 + 0.6) x 2

= 2 m²

Volume = area x height (here width)

V = 2x1 = 2 m³

The level goes down by 20cm in the first 30 mins

Volume of water that will be taken down =

=0.2 x 1 x 2

=0.4 m³ ( upper water will form cuboid face)

Now,

⇒0.4 m³ water is taken out in 30 minutes

⇒1 m³ water is taken out in 30/0.4 minutes

⇒2 m³ water is taken out in 30/0.4 x 2 minutes

⇒30x2/0.4

⇒150 minutes.

So the pond will be completely empty in 150 min that is 2hrs30mins.

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Answer:

1. B) x = 12

2.C)  -5

3. A) 4

7. C) -4

8. A) -4x -6 = 16x

9. B) 29x = 0

Step-by-step explanation:

okay, number 7 you have to distribute -3 to 6 to get -18. So you get 4 -(3*2y) - 18 = 10. add 18 to both sides to get 4 -(3*2y) = 28. subtract the 4. -(3*2y) = 24. Rever the negative. (3*2y) = -24. Divid by 3; 2y = -8. And divide by 2; y = -4.

Same with number 8 but keeping the 16x.

4x - 2 (4x + 3) = 16x

4x - 8x + - 6 = 16x

-4x + -6 = 16x

9.

4(3 - 4x) = 12

3 - 4x = 3

-4x = 0

x = 0

Now you know x = 0 so anything multipied

with the x is 0. The answer is B.

I hope this helped :)

Answer:

B. 64

Step-by-step explanation:

If x is 6, we replace the x in the equation with 6.

f(x)=2^6

Multiply 2 by itself

2×2×2×2×2×2=64

Answer:

3 and -4

Step-by-step explanation:

this is simple but difficult

let the number be x and second number be y

3x + 2y=1

x-y/2=5

from the 2nd equation

x-y/2=5

x=5+y/2

substitute value for x into equation 1

3x + 2y=1

3(5+y/2) + 2y= 1

15 +3y/2 +2y=1

15 + 7y/2=1

7y/2= 1 - 15

7y/2=-14

cross multiply

7y= -28

y= -28/7

y= -4

therefore second number is -4

substitute value for y into 1st equation

3x + 2y=1

3x + 2(-4) = 1

3x - 8= 1

3x= 1+8

3x= 9

x= 9/3

x= 3

therefore first number is 3

therefore two numbers are;

3 and -4

Answer:

kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk

Step-by-step explanation:

The correct classification of the expression 5x + 3x⁴ - 7x³ + 10, is that it is the fourth-degree polynomial.

The degree of a polynomial is the highest power of the variable in the expression.

In the expression 5x + 3x⁴ - 7x³ + 10, there are 4 terms, and the term 3x⁴ involves the highest power = 4.

Therefore, the degree of the polynomial is 4.

Hence, we can say that the correct classification of the expression 5x + 3x⁴ - 7x³ + 10, is that it is the fourth-degree polynomial.

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In the given problem, solving systematically, sales should be $6,000 during a week that $1,200 was spent on advertising.

If sales vary directly with the amount of money spent on advertising, it means that the ratio of sales to advertising spending is constant. We can use this ratio to find out what sales should be during a week that $1200 was spent on advertising.

Let the ratio of sales to advertising spending be denoted by k. Then, we have:

k = sales / advertising spending

From the information given, we know that:

k = 10,000 / 2,000 = 5

This means that for every dollar spent on advertising, $5 in sales are generated.

To find out what sales should be during a week that $1200 was spent on advertising, we can use the ratio k:

sales = k * advertising spending

sales = 5 * 1200

sales = 6000

Therefore, sales should be $6,000 during a week that $1,200 was spent on advertising.

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1. 288 tons of oats can be stored in the silo.

2. 432 tons of barley can be stored in the silo.

3. 540 tons of wheat can be stored in the silo.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, A storage silo for grain can house 18,000 bushels of grain.

1. One bushel of oats weighs 32 pounds which is equal to 32/2000 tons.

= 0.016 tons.

Therefore, The number of tons of oats that can be stored is,

= 0.016×18000.

= 288 tons.

2. One bushel of barley weighs 48 pounds or 48/2000 = 0.024 tons.

Therefore, The number of tons of barley that can be stored is,

= 0.024×18000.

= 432 tons.

3. One bushel of wheat weighs 60 pounds or 60/2000 tons = 0.03 tons.

Therefore, The number of tons of wheat that can be stored is,

= 0.03×18000.

= 540 tons.

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Answer:

Δ = b² - 4ac

Step-by-step explanation:

do math

the sum of squares of number of 6,7 and 8 is 149.

What is the arithmetic operation?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.

the product of three consecutive positive integers is 8 times thier sum.

So if 1st number is x

So the sum will be x+x+1+x+2 = 3x+3

and multiply will be x(x+1)(x+2)

according to question x(x+1)(x+2) = 24(x+1)

x³+3x²+2x = 24x+24

x = 6

So all the numbers will be 6,7 and 8

Hence the sum of their square is 36+49+64= 149

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Answer:

2000

Step-by-step explanation:

Number of shares after split is 5/2 times the pre split value =800*5/2 = 2000

Answer: (1,-5)

Step-by-step explanation:

Substitute x and y with (1,-5).

-5=1-6.

Hope this helps :)

Answer:  62 ft

Step-by-step explanation:

The scale shows that for every 1/4 inches on the paper, the distance of the actual house is 1 ft.

If the floor plan lists the length as 15 ¹/₂ inches therefore, the length in inches feet is:

= 15 ¹/₂ ÷ 1/4

= 31/2 ÷ 1/4

= 31/2 * 4/1

= 62 ft

When dividing by a fraction, you can multiply its inverse.

The z-score for Hugo's typing speed of 72 words per minute is 3.16, indicating that it is 3.16 standard deviations to the right of the mean.

Given that Hugo's words per minute on a typing test are normally distributed with a mean of 42 and a standard deviation of 9.5, we can calculate the z-score for the typing speed of 72 words per minute using the formula:

\(z = (x - μ) / σ\)

where x is the observed value, μ is the population mean, and σ is the population standard deviation.

Plugging in the values, we get:

z = (72 - 42) / 9.5

z = 3.16

This means that the typing speed of 72 words per minute is 3.16 standard deviations to the right of the mean.

The z-score also tells us the probability of observing a value as extreme as 72 words per minute or more, assuming a normal distribution. We can use a standard normal distribution table or a calculator to find this probability, which turns out to be approximately 0.001.

In summary, the z-score for Hugo's typing speed of 72 words per minute is 3.16, indicating that it is 3.16 standard deviations to the right of the mean. This also means that the probability of observing a value as extreme as 72 words per minute or more is very low, at around 0.001.

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Answer:

The equation is n2 + 3

Step-by-step explanation:

The n represents the number.

for example the number 10

if you put it in the equation it becomes

(10)(2) +3

10x2=20

20+3=23

Answer:

C; as x-> infinite, f(x) -> infinite, as x-> neg. infinite, f(x) -> neg. infinite

Step-by-step explanation:

Graphing the equation will help with knowing the end behavior.

X^3 graphs tend to increase infinitely when x is going infinitely positive and decrease infinitely when x is going infinitely negative.