10 chefs can prepare a meal for 536 people in
8 hours. Assuming that the chefs cook at the
same rate and that the rate at which they cook
remains constant throughout the preparation,
find the number of people 22 cheis can prepare
a meal for in 5 hours.

G(a+3) means that we must replace x with (a+3).

G(a+3)=3x-10

G(a+3)=3(a+3)-10

G(a+3)=3a+9-10

3a-1

This means that the answer is A) 3a-1

I hope this helps! :)

Answer:

B

Step-by-step explanation:

B is the only case where the desired fraction is multiplied by de facto 1 (3/3 = 1) and remains unchanged.

all other answer options multiply or divide by something that is different to 1. and so, they change the original fraction.

Given:

The formula for nth term of a sequence is:

\(\dfrac{5}{6}+\dfrac{1}{2}n\)

To find:

The 12th term in the given sequence.

Solution:

Consider the formula for nth term of a sequence:

\(a_n=\dfrac{5}{6}+\dfrac{1}{2}n\)

Putting \(n=12\), we get

\(a_{12}=\dfrac{5}{6}+\dfrac{1}{2}{12}\)

\(a_{12}=\dfrac{5}{6}+6\)

\(a_{12}=\dfrac{5+36}{6}\)

\(a_{12}=\dfrac{41}{6}\)

Therefore, the 12th in the given sequence is \(\dfrac{41}{6}\).

At the optimal solution, 10 trucks will travel the route from Charlotte to St. Louis.

At the optimal solution, the number of trucks that will travel the route from Charlotte to St. Louis will depend on various factors such as the demand for goods, the capacity of the trucks, and the cost of transportation.

To find the optimal solution, we can use the following formula:

Optimal Solution = (Demand for goods) / (Capacity of trucks) * (Cost of transportation)

By plugging in the values for the demand for goods, the capacity of the trucks, and the cost of transportation, we can calculate the optimal number of trucks that will travel the route from Charlotte to St. Louis.

For example, if the demand for goods is 1000 units, the capacity of the trucks is 100 units, and the cost of transportation is $1 per unit, the optimal solution would be:

Optimal Solution = (1000 units) / (100 units) * ($1 per unit) = 10 trucks

Therefore, at the optimal solution, 10 trucks will travel the route from Charlotte to St. Louis.

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Answer:

The answer is C

Step-by-step explanation:

got it right

Answer:

The​ odds, in the most simplified​ form, are 7 to 3 against a randomly selected​ 18- to​ 34-year-old having cursed at his or her computer.

Step-by-step explanation:

Given

\(p = 30\%\) ---- proportion that cursed their computer

Required

Odds against the selected

Using the complement formula, the proportion that the selected has not cursed at their computer is:

\(p' = 1 - p\)

\(p' = 1 - 30\%\)

\(p' = 70\%\)

So, the odds against the selected is:

\(Odds = p' : p\)

\(Odds = 70\% : 30\%\)

Divide by 10%

\(Odds = 7: 3\)

Based on the calculations, the coordinates of the other endpoint are equal to (-20, 10).

A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length.

In order to determine the midpoint of a line segment with two (2) endpoints, we would add each point together and then divide by two (2).

Midpoint on x-coordinate is given by:

xm = (x₁ + x₂)/2

-7 = (6 + x₂)/2

Cross-multiplying, we have:

-14 = 6 + x₂

x₂ = -14 - 6

x₂ = -20.

Midpoint on y-coordinate is given by:

ym = (y₁ + y₂)/2

4 = (-2 + y₂)/2

Cross-multiplying, we have:

8 = -2 + y₂

y₂ = 8 + 2

y₂ = 10.

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The three conditions for a function to be continuous at a point x=a are:

a) The function is defined at x=a.

b) The limit of the function as x approaches a exists.

c) The limit of the function as x approaches a is equal to the value of the function at x=a.

The continuity of a function can be analyzed by observing its graph. However, as the graph is not provided, a specific discussion about its continuity cannot be made without further information. It is necessary to examine the behavior of the function around the point in question and determine if the three conditions for continuity are satisfied.

The function f(x) = { *** is not defined in the question. In order to discuss its continuity, the function needs to be provided or described. Without the specific form of the function, it is impossible to analyze its continuity. Different functions can exhibit different behaviors with respect to continuity, so additional information is required to determine whether or not the function is continuous at a particular point or interval.

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The trigonometric value equations are solved

Given data ,

The value of cos x = 5/7

So , from the trigonometric Pythagorean identity , we get

sin x = √ ( 1 - cos²x )

sin x = √ ( 1 - 25/49 )

sin x = √24/7

So, from the trigonometric relations , we get

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

a)

( cos x + sin x ) / ( cos x - sin x ) = ( 5 + √24 ) / ( 5 - √24 )

b)

( cot x + cos x ) / ( cosec x ) = ( ( 1/tan x ) + cos x ) sin x

= ( 5/√24 + 5/7 ) ( √24 / 7 )

= ( 5/7 + 5√24/49 )

c)

( sin x - 1 ) / ( cos x ( 1 - cos x ) = [ ( √24/7 ) - 1 ] / ( cos x - cos²x )

= [ ( √24 - 1 ) / 7 ] / [ ( 5/7 ) - ( 25/49 ) ]

= [ ( √24 - 1 ) / 7 ] / ( 10/49 )

= ( 7/10 ) ( √24 - 1 )

Hence , the trigonometric equations are solved.

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The value of the infinite series as n tends to 0 is: 0

Infinite series is defined as the sum of infinitely many numbers related in a given way and listed in a given order. Infinite series are important in mathematics and in such disciplines as physics, chemistry, biology, and engineering.

From the infinite series, we want to find the value of the series as n tends to 0.

We are given the series as:

x/2ˣ

At x = 0, we have:

0/2⁰ = 0/1 = 0

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Answer:

True

Step-by-step explanation:

An expected value is another term for the mean of a probability distribution. The number of successes in a binomial experiment must range from zero to n. In a binomial experiment, the number of successes can never exceed the number of trials. The probability of a success must exceed the probability of a failure.

Answer:

25

Step-by-step explanation:

an absaloute value means that every number inside of that would be a positive number.

The pair of the line together that could be perpendicular to RS and should be considered will be EA and FG.

It should be noted that in terms of elementary geometry, two geometric objects should be considered as perpendicular when they intersect at a right angle.

In such a case, a line is treated to be perpendicular to another line in the case when the two lines intersect at a right angle.

Therefore, based on the information, the pair of the line together that could be perpendicular to RS and should be EA and FG.

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The characteristic polynomial of T splits,  the characteristic polynomial of the restriction of T to any T-invariant subspace of V also splits.

To prove the given statement, we need to show that if the characteristic polynomial of a linear operator T on a finite-dimensional vector space V splits, then the characteristic polynomial of the restriction of T to any T-invariant subspace of V also splits.

Let U be a T-invariant subspace of V. We want to show that the characteristic polynomial of T restricted to U splits.

First, let's consider the minimal polynomial of T, denoted by \(m_T_{(x).\)Since the characteristic polynomial of T splits, we know that it can be written as \(c(x-a_1)^{m_1}(x-a_2)^{m_2}...(x-a_k)^{m_k}\), where \(a_1, a_2, ..., a_k\) are distinct eigenvalues of T, and \(m_1, m_2, ..., m_k\) are their respective multiplicities.

Since U is T-invariant, it means that for any u ∈ U, T(u) ∈ U. Thus, the restriction of T to U, denoted by \(T|_U,\) is a well-defined linear operator on U.

Now, let's consider the minimal polynomial of T restricted to U, denoted by m_{T|U}(x). We want to show that m{T|_U}(x) splits.

For any eigenvalue λ of T|_U, there exists a nonzero vector u ∈ U such that T|_U(u) = λu. This implies that T(u) = λu, so u is also an eigenvector of T associated with the eigenvalue λ.

Since the characteristic polynomial of T splits, we have λ as one of the eigenvalues of T. Hence, the minimal polynomial m_T(x) must have a factor of (x-λ) in its factorization.

Since m_T(x) is also the minimal polynomial of T restricted to U, it follows that m_{T|_U}(x) must also have a factor of (x-λ) in its factorization.

Since this argument holds for any eigenvalue λ of T|_U, we conclude that the characteristic polynomial of T restricted to U,

given by det(xI - T|_U), can be factored as (x-λ_1\()^{n_1}\)(x-λ_2\()^{n_2}\)...(x-λ_p\()^{n_p},\)

where λ_1, λ_2, ..., λ_p are the distinct eigenvalues of T|_U, and n_1, n_2, ..., n_p are their respective multiplicities.

Therefore, we have shown that if the characteristic polynomial of T splits, then the characteristic polynomial of the restriction of T to any T-invariant subspace of V also splits.

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Using the concepts of mean and standard deviation, and the central limit theorem, it is found that:

a. The mean is of: 3.3

b. The standard deviation is of: 1.23.

c. They would have a mean of 3.3 and a standard deviation of 0.55.

For this problem, the mean is given by:

M = (2 + 3 + 2 + 3 + 3 + 4 + 2 + 4 + 3 + 2 + 2 + 7 + 3 + 4 + 5 + 3 + 3 + 3 + 3 + 5)/20 = 3.3

The standard deviation is:

\(S = \sqrt{\frac{(2 - 3.3)^2 + (3 - 3.3)^2 + \cdots + (3 - 3.3)^2 + (5 - 3.3)^2}{20}} = 1.23\)

It states that for distribution of sample means of size n:

Hence, since 1.23/sqrt(5) = 0.55, the sample means would have a mean of 3.3 and a standard deviation of 0.55.

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Answer:

It is $2400.

Step-by-step explanation.

let the total amount be x.

10% of x = $240

x= $240*100/10

total amount - $2400

Answer:

I dunno, maybe 2400?

Since 240 is only 10% of what Shanika wants so maybe 2400 dollars?

Step-by-step explanation:

i'm unsure if I'm correct but here's my answer now go try to help me with my homework like we bargained.

1. (x - 3)(x + y + z) = x² + xy + xz - 3x - 3y - 3z. This product is not a sum or difference of two cubes. 2. (3x - 4y)(2x - 3y - 4) = 6x² - 17xy + 12y² + 4y. This product is not a sum or difference of two cubes.

An equation in mathematics is a claim made regarding the equality of two expressions. It comprises of two expressions that express the same value or amount and are joined by an equal sign. The objective is to solve for the unknown value by modifying the equation in accordance with predetermined rules and principles when one side of the equation is typically unknown. From straightforward arithmetic operations to intricate differential equation systems, equations are used to model and solve a wide range of issues in many branches of mathematics, science, and engineering.

1. (x - 3)(x + y + z) = x² + xy + xz - 3x - 3y - 3z. This product is not a sum or difference of two cubes.

2. (3x - 4y)(2x - 3y - 4) = 6x² - 17xy + 12y² + 4y. This product is not a sum or difference of two cubes.

3. (6x + 3)(x - y + 4) = 6x² - 15xy + 18x + 3y - 12. This product is not a sum or difference of two cubes.

4. (x² - 2)(x² + 3x - 1) = x⁴ + 3x³ - x² - 6x - 2. This product is a difference of two cubes: x^6 - 2^3.

5. (x - 3)(3x + 1) (4x (2)) = 12x⁴ - 32x³ - 9x² + 27x. This product is not a sum or difference of two cubes.

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The value of cos(17π/6) = cos(5π/6) = -√3/2.

Hence, cos(17π/6) evaluates to -√3/2.

To evaluate cos(17π/6), we can use the unit circle and the properties of cosine.

First, let's determine the reference angle.

The reference angle is the acute angle formed between the terminal side of the given angle and the x-axis.

The angle 17π/6 is greater than 2π, which means it completes more than one full revolution around the unit circle.

To find the reference angle, we can subtract 2π (or 12π/6) from 17π/6:

17π/6 - 12π/6 = 5π/6

Now, we can evaluate the cosine of the reference angle (5π/6).

In the unit circle, the reference angle 5π/6 corresponds to the point (cos(5π/6), sin(5π/6)).

The cosine value is represented by the x-coordinate of this point.

For the reference angle 5π/6, the x-coordinate is -√3/2.

Therefore, cos(17π/6) = cos(5π/6) = -√3/2.

Hence, cos(17π/6) evaluates to -√3/2.

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Question: How do you evaluate

cos

(17π/6)

Answer:

They spent 4 more hours.

Step-by-step explanation:

I added up Paloma's hours and Abdul's, 21 + 18 = 39! And then I added Ben's and Min's, 13 + 22 = 35! So then I subtract 39 - 35 = 4! yay!

If I got it right can I have Brainliest thanks!

After solving, the height of the building is 15.19 m tall.

In the given question, a baseball dropped from the roof of a tall building takes 3. 1 seconds to hit the ground.

We have to find the height of the building.

Initial Velocity, denoted as u, is the velocity at time interval t = 0. It is the speed at which motion first occurs.

Initial velocity u=0

Time t=3.1 seconds

Let height of the cliff is h.

So s=ut+at^2/2

Now putting the value

s = 0+(9.8×3.1)/2

s = 30.38/2

s = 15.19 m

Hence, the height of the building is 15.19 m tall.

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The equation

v2(35sm)2=v02+2a(xf−x0)

=(45sm)2+2a(250m−0) can be explained as follows:

The first part of equation v2(35sm)2 states that the final velocity of the moving object is equal to the initial velocity added to the product of the acceleration and the distance moved.

The variables involved here are:

v2 (final velocity) = 35sm

v0 (initial velocity) = ?

a (acceleration) = ?

x f (final position) = ?

x0 (initial position) = 0

Using this equation, the value of the final velocity of the object can be calculated when the values of the initial velocity and the acceleration of the object are known.

Also, the final position of the object can be calculated when the values of the acceleration, initial velocity, and distance moved by the object are known.

The second part of the equation v02+2a(fx−x0)=(45sm)2+2a(250m−0) states that the square of the initial velocity plus twice the acceleration multiplied by the displacement between the final and initial positions is equal to the square of the final velocity.

The variables involved here are:

v0 (initial velocity) = ?

a (acceleration) = ?

x f (final position) = 45sm

x0 (initial position) = 0

Using this equation, the value of the initial velocity can be calculated when the values of the final velocity, acceleration, and displacement between the final and initial positions are known.

Also, the displacement between the final and initial positions can be calculated when the values of the acceleration, initial velocity, and the final velocity of the object are known.

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Answer:

f(-3) = g(-3)

Step-by-step explanation:

Let's look at each option to which one is true with regard to the given functions on the graph.

The option that is correct is the option that shows where the graph of f(x) and g(x) intercepts or cut across each other.

Now, take a look at the graph, the line of both functions intercepts at x = -3. At this point, the value of f(-3) and g(-3) is equal to -4.

Therefore: f(-3) = g(-3)

Answer:

2+b<18

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

Given,

1 = 1/(x-2)

Multiply both sides by (x-2),

1*(x-2) = 1/(x-2) * (x-2)

x-2 = 1

Adding 2 on both sides,

x-2+2 = 1+2

x = 3

The total fare for a 2 mile journey will be Rs. 4.20. The fare for the first quarter mile is 20 paise, and for each other 120 quarter mile, the fare is 5 paise. Therefore, the total fare for 2 miles is Rs. 4.20.

The bus fare for the first quarter mile is 20 paise and for each other 120 quarter mile, the fare is 5 paise. Therefore, to calculate the fare for a 2 mile journey, one needs to multiply the fare for the first quarter mile (20 paise) with 8 (2 miles multiplied by 4 quarter miles in 1 mile) and add the fare for the other 120 quarter miles (5 paise) multiplied by 16 (4 quarter miles in 1 mile multiplied by 4). This sum would be equal to Rs. 4.20. Therefore, the total fare for 2 miles would be Rs. 4.20. This fare structure is the same for all distances and can be applied to calculate the fare for any distance.

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The integer in the solution set will make the equation true is 7.

The integer is a whole number which can be negative or positive or zero, they are written in fraction formate.

Given is an equation, 6x − 8 = 2(2x + 3)

Checking for x = -2, we get,

LHS = -2x6 - 8 = -12-8 = -20

RHS = 2(-2x3+3) = 2(-4+3) = 2x-1 = -2

LHS ≠ RHS

Checking for x = 0, we get,

LHS = 6x0-8 = -8

RHS = 2(2x0+3) = 2x3 = 6

LHS ≠ RHS

Checking for x = 7, we get,

LHS = 6x7-8 = 42-8 = 34

RHS = 2(2x7+3) = 2x17 = 34

LHS = RHS

Therefore, when x =7, both the expressions are equal.

Hence, the equation is true for the x =7

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