2. Assume a group of 8 players are playing the game Among us. two are labeled imposters. In how many different ways can the impostors be selected? ​

Answer:

a) 263,158

b) $164,500

c) Ethical issues companies face when deciding to move operations: job loss for employees, poor working conditions and exploitation of workers, negative environmental impact,...

Step-by-step explanation:

a)

Total cost = (0.25 + 0.02 + 0.03 + 0.15) x + 250,000

Total revenue = 1.40x

Setting the two equations equal to each other and solving for x, we get:

(0.45)x + 250,000 = 1.40x

0.95x = 250,000

x ≈ 263,158

b)

If the company sells 270,000 candy bars at $1.40 each, the total revenue generated is:

270,000 * $1.40 = $378,000

The total cost of producing 270,000 candy bars is:

(0.25 + 0.02 + 0.03 + 0.15) * 270,000 + $250,000 = $213,500

Therefore, the company's profit is:

$378,000 - $213,500 = $164,500

c)

Ethical issues companies face when presented with the decision to move operations: job loss for employees, poor working conditions and exploitation of workers, negative environmental impact,...

The required 1728 cubic feet of soil can be filled in the given garden box.

Following the given figure,
Calculate the volume of the composite box in parts,
The upper part and lower part,
Volume of the upper part is given as = 3 * 10 * 12 = 360 cubic feet
Volume of the lower part is given as = 6 * 12 * 19 = 1368 cubic feet

Now add both the volumes
= 1368 + 360 = 1728 cubic feet.

Thus, the required 1728 cubic feet of soil can be filled in the given garden box.

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Answer:

No, the zeros of the function are at x = 3/4 and x = –2

Step-by-step explanation:

the equation

4x² + 5x – 6 = 0

(note: since there is a coefficient of x² we need to multiply it to the last term(6))

4x² + 5x – 24 = 0

the factors are :- 8x and – 3x

4x² + 8x – 3x – 6 = 0

4x( x + 2) –3( x + 2) = 0

( 4x – 3)( x + 2) = 0

the zeros will be

4x – 3 = 0

4x = 3

\(x = \frac{3}{4} \)

x + 2 = 0

x = – 2

the zeros are x= 3/4 or –2

i hope this helps

Answer:

yes this person did because I have the same question

Step-by-step explanation:

Answer:

502

Step-by-step explanation:

100 * 5 + 2 = 505

Answer:

To find the 100th term of the sequence, we need to use the recursive rule and iterate it 99 times, since we are starting at the first term and need to get to the 100th term.

The recursive rule is given as 5, which means each term in the sequence is equal to the previous term times 5. Therefore:

The first term is 2.

The second term is 2 * 5 = 10.

The third term is 10 * 5 = 50.

The fourth term is 50 * 5 = 250.

And so on...

Iterating this rule 99 times gives us:

The 100th term is 2 * 5^99, which is approximately equal to 6.33825300114 × 10^66.

Therefore, the 100th term of the sequence starting with 2 and with a recursive rule of 5 is approximately 6.33825300114 × 10^66.

Answer:

70

Step-by-step explanation:

Chem : Phy = 3: 2

Since we have 105 pupils studying Chem and let's say we have x students stuyding Phy.

We have :\(3:2=105:x\)

\(3x=210\)

x=70

Answer:

17.5

105÷3 is 35

37÷2 is 17.5

Answer:

7b = 10

Step-by-step explanation:

We have that:

5a + 2b = 0

a is two less than b

So a = b - 2.

Replacing in the above equation:

\(5a + 2b = 0\)

\(5(b - 2) + 2b = 0\)

\(5b - 10 + 2b = 0\)

\(7b = 10\)

\(b = \frac{10}{7}\)

7b

\(7b = 7\frac{10}{7} = \frac{70}{7} = 10\)

7b = 10

Answer: 23100 voters

Step-by-step explanation:

42*55000=2310000

2310000/100=23100 voters

Answer:

64°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180°

let the third angle be x , then

x + 90° + 26° = 180°

x + 116° = 180° ( subtract 116° from both sides )

x = 64°

the other angle is 64°

Answer:

Its the third option.

Step-by-step explanation:

No,  all points on the line are solutions of the equation.

Answer:

answer the last    yes because all the points meet

Step-by-step explanation:

Answer:

Step-by-step explanation:

Pick 2 points then calculate the rise over run to get the slope.

Say (2,4) & (5,5)

The rise (y) value is +1. The run (x) is +3.

Putting the rise OVER the run gets you

1/3.

The slope is 1/3.

Lenny's net proceeds algebraically are found as;\(\rm |xy + 20 - \frac{98}{100} |\)

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

Let the bought share will be $ x, and $y is the price per share

Paid fees to the broker = $ 20

The total amount spent = $(xy+20)

The price at which each share sells = $ A

Broker commission = 2 %

The total amount obtained after selling the shares;

⇒ ax - 2% of ax

⇒ 98 % of ax

Hence, Lenny's net proceeds algebraically are found as;\(\rm |xy + 20 - \frac{98}{100} |\)

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Answer:

Step-by-step explanation:

what were Laura net proceeds

Answer:

-4

Step-by-step explanation:

Slope can be found with \(\frac{y2-y1}{x2-x1}\)

Pick two points on the graph that the line runs through

(-2, 4) will fill the values of x1 and y1, and (-1, 0) will fill the values of x2 and y2

Insert the coordinates into the formula

\(\frac{0-4}{(-1)-(-2)}\)

\(\frac{-4}{-1+2}\)

\(\frac{-4}{1}\)

Therefore the slope is -4

\(z_{2}-3i=(-4+i)-3i=-4-2i\\\\z_{1}+2=(3-4i)+2=5-4i\\\\(z_{1}+2)-(z_{2}-3i)=(5-4i)-(-4-2i)=9-4i+4+2i=9-2i\)

which corresponds with point C

The expression which is the result of subtracting (z2-3i) from (z1+2) is 9-2i.

Given On a coordinate plane, the y-axis is labeled imaginary and the x-axis is labeled real. Point A is (1, -2), B is (1, -6), C is (9,- 2), D is (9, - 6), z 1 is (3, - 4), and z 2 is (- 4, 1).

Coordinate plane is a two dimensional plane formed by the intersection of two number lines. One is horizontal line and one is vertical. On horizontal line x values are denoted and on vertical line y values are written. There can be three dimensional plane also.

z2-3i=(-4+i)-3i=-4-2i

z1+2=(3-4i)+2=5-4i

(z1+2)-(z2-3i)=(5-4i)-(-4-2i)

=9-4i+4+2i

=9-2i

Hence for the expression (z1+2)-(z2-3i)=9-2i

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The main difference between a pyramid and a prism is their base shape and the number of faces, edges, and vertices they possess.

A pyramid is a 3D shape that has a base in the form of a polygon, with triangular faces that meet at a single point known as the apex. The shape of the base can vary, with some common ones being triangles, squares, and pentagons. Pyramids have a total of five faces, including the base. The number of edges and vertices depends on the number of sides of the polygonal base. Pyramids are commonly found in ancient architecture, such as the Egyptian pyramids, and are often used to represent power and strength.

A prism, on the other hand, is a three-dimensional shape that has two identical polygonal bases that are connected by rectangular faces. The shape of the bases can vary, with some common ones being triangles, rectangles, and hexagons. Prisms have a total of six faces, including the two identical polygonal bases. The number of edges and vertices of a prism depends on the shape and number of sides of its bases. Prisms are often found in modern architecture, such as in the design of buildings and bridges.

Pyramids and prisms are two distinct three-dimensional geometric shapes that differ primarily in their base shape. A pyramid's base is a polygon, whereas a prism has two parallel polygonal bases connected by rectangular faces. Pyramids have a total of five faces, including the base, while prisms have six faces, with two identical polygonal bases. The number of edges and vertices of both shapes is determined by the shape and number of sides of their respective bases.

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The complete question is: "The difference between a pyramid and a prism."

An order-preserving function is one where x < y implies f(x) < f(y). An isomorphism is a one-to-one order-preserving function between two partially ordered sets, while an automorphism is an isomorphism of a set to itself.

In the given excerpt, it explains the concepts of order-preserving functions, isomorphisms, and automorphisms in the context of partially ordered sets.

Order-Preserving Function:

A function f: P -> Q, where P and Q are partially ordered sets, is said to be order-preserving if for any elements x and y in P, if x < y, then f(x) < f(y). In other words, the function preserves the order relation between elements in P when mapped to elements in Q.

Increasing Function:

If P and Q are linearly ordered sets, then an order-preserving function is also referred to as an increasing function. It means that for any elements x and y in P, if x < y, then f(x) < f(y).

Isomorphism:

A one-to-one function f: P -> Q is called an isomorphism of P and Q if it satisfies two conditions:

a. f is order-preserving: For any elements x and y in P, if x < y, then f(x) < f(y).

b. f is onto (surjective): Every element in Q has a pre-image in P.

When an isomorphism exists between (P, <) and (Q, <), it means that the two partially ordered sets have a structure that is preserved under the isomorphism. In other words, they have the same ordering relationships.

Automorphism:

An automorphism of a partially ordered set (P, <) is an isomorphism from P to itself. It means that the function f: P -> P is both order-preserving and bijective (one-to-one and onto). Essentially, an automorphism preserves the structure and order relationships within the same partially ordered set.

These concepts are fundamental in understanding the relationships and mappings between partially ordered sets, particularly in terms of preserving order, finding correspondences, and exploring the symmetry within a set.

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∠A ≅ ∠Z

you can determine this by seeing that both angles have two curved lines, therefor showing they have the same measurement.

∠B ≅ ∠Y

you can also determine this by seeing that they both have one curved line showing that they share the same measurement.

∠C ≅ ∠X

once again, you can determine this by seeing that both angles are marked with three curved lines, meaning they share the same measurements.

line AB ≅ line ZY

just like before, you can determine that they are equivalent to each other by seeing that both lines have three dashes showing that they have the same measurement.

line AC ≅ line ZX

you can determine these lines are equivalent because they both have one dash showing they are the same length as each other.

line BC ≅ line YX

once again, both lines have two dashes, showing that they are equivalent in length.

ΔCAB ≅ XZY

you can determine this by seeing that all three angles and all three sides on both triangles share measurements with the other triangle

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

Let's calculate the slope (m) of line passing through points (2 , 5) and (3 , 4)

Consider the coordinates of the points, and now apply the formula ~

\(\qquad \sf  \dashrightarrow \: m = \dfrac{y_2 - y_1}{x_2 - x_1} \)

\(\qquad \sf  \dashrightarrow \: m = \dfrac{4 - 5}{3 - 2} \)

\(\qquad \sf  \dashrightarrow \: m = \dfrac{ - 1}{1} \)

\(\qquad \sf  \dashrightarrow \: m = - 1\)

Therefore, the slope if the required line Is -1

We have to verify if 4/5 and 5/6 are eqauivalent to 2/3.

We can verify this dividing the numbers by 2/3, and if we get the value 1, then they are equivalent. If they are equivalent, then the fraction can be reduced up to 2/3, and this division will give us the value 1.

We start with 4/5:

4/5 is not a 2/3 ratio.

We continue with 5/6:

5/6 is not a 2/3 ratio.

Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$. Therefore $x=y=12\sqrt{3}$, which is our answer

In a 30-60-90 triangle, the sides have the ratio of $1: \sqrt{3}: 2$. Let's apply this to solve for the variables in the given problem.

Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form. x=y=Let's first find the ratio of the sides in a 30-60-90 triangle.

Since the hypotenuse is always twice as long as the shorter leg, we can let $x$ be the shorter leg and $2x$ be the hypotenuse.

Thus, we have: Shorter leg: $x$Opposite the $60^{\circ}$ angle: $x\sqrt{3}$ Hypotenuse: $2x$

Now, let's apply this ratio to solve for the variables in the given problem. We know that $x = y$ since they are equal in the problem.

Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$

Therefore, $x=y=12\sqrt{3}$, which is our answer.

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The person is approximately 8.43 miles from home, and they need to walk in the direction of approximately 26.6 degrees east of north to head directly home.

To determine the distance from home, we can use the concept of vector addition. The person walks 4 miles west, which can be represented as a vector (-4, 0) in a coordinate plane. Then, they walk 5 miles southwest, which can be represented as a vector (-3.54, -3.54) since southwest is a combination of west and south. Adding these two vectors together gives us (-7.54, -3.54).

To find the magnitude or distance from home, we use the Pythagorean theorem. The distance is given by sqrt((-7.54)^2 + (-3.54)^2) = 8.43 miles (approximately).

To determine the direction to head directly home, we need to find the angle between the vector (-7.54, -3.54) and the positive x-axis. We can use trigonometry to find this angle. The tangent of the angle is given by the ratio of the y-coordinate to the x-coordinate, which is -3.54 / -7.54. Taking the inverse tangent of this value gives us approximately 26.6 degrees.

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Answer:

74 and 27

Step-by-step explanation:

let x and y be the numbers

x + y =101........eqn 1

x - y = 47.......eqn 2

solve simultaneously

from equation 2, make x the subject

x= 47 + y........eqn 3

put eqn 3 into eqn 1

(47+y) + y = 101

47 + 2y = 101

       2y= 101 - 47

       2y=54

         y= 54/2

         y= 27

put y=27 into eqn 3

x = 47 + 27

x = 74

A recurrence relation is a mathematical expression that expresses the value of a sequence or function at smaller inputs. Recurrence relations are commonly used in computer science to describe the running time of algorithms that use a divide-and-conquer approach.

T(n) represents the running time of an n-dimensional problem. If the problem size is small enough, n c, where c is a constant, the simple solution takes constant time, denoted as (1).

When the problem size is not small, the algorithm divides it into n/b sub-problems. The required time to solve the problem is a. T(n/b), where an is a constant(n) is the time required for division, and C is the time required for combining the results of subproblems (n).

The recurrence relation is a mathematical expression that describes the algorithm's running time, taking into account the time required for division, the time required for sub-problem solving, and the time required for combining the results. T(n) = D(n) + a.T(n/b) + C represents the recurrence relation (n).

This recurrence relation can be used to compare the time complexity of divide-and-conquer algorithms to other algorithms.

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Answer:

I think that these are only the smallest sum of money that can be purchased

The appropriate Taylor series for an infinite series with the first four nonzero terms equal to ln(5/3) is 0/1!, 0/2!, 0/3!, and 0/4! .......

An infinite sum of words that are expressed in terms of a function's derivatives at a single point is known as the Taylor series or Taylor expansion of a function in mathematics. Near this point, the function and the sum of its Taylor series are equivalent for the majority of common functions. The polynomial or function of an infinite sum of terms is the Taylor series. The exponent or degree of each succeeding term will be greater than the exponent or degree of the one before it.

The formula is:

∑​n=0​ to ∞(fⁿ(a)(x-a)ⁿ)/n!

Here,

∑​n=0​ to ∞(fⁿ(a)(x-a)ⁿ)/n!

at n=1,

=0/1!

at n=2,

=0/2!

at n=3,

=0/3!

at n=4,

=0/4!

Appropriate taylor series for first four nonzero terms of an infinite series that is equal to ln(5/3) is 0/1!, 0/2!, 0/3!, 0/4!.......

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​​

True. The null hypothesis for the sign test always states that the mean difference between the matched or paired samples is zero.

The sign test is used to compare two related or matched samples to determine if they are significantly different from one another. It is based on the idea that the difference between two related samples should be zero. The null hypothesis of the sign test states that the mean difference between the two matched or paired samples is zero, meaning that there is no difference between the two samples.

The alternative hypothesis is that the mean difference between the two samples is not zero, indicating that there is a significant difference between the two samples. The sign test is used to determine if the two samples are significantly different from one another.

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