show that c(n, k) < c(n, k \) if and only if k < (n— 1)/2. (b) use part (a) to deduce that the maximum of c(n, k) for k = 0. 1. n is c(n. (n/2j).

Answer:

I would think 250 + 1.5t

Step-by-step explanation:

I hope this helps :)

Answer:

y=250×1.5x

Step-by-step explanation:

It depends on how many months

ex. after 6 months

y=2250

Answer:

417

Step-by-step explanation:

372+45 = 417

Just add both gram values

Answer:

False, because for being a function, there must be only one y for each value of x.

Aiden's new hourly wage would be 16.64 per hour.

Solution:

We have been given that Aiden's hourly wage is 16.00 per hour

So, If he gets a 4% raise then his hourly wage will be,

16* (100+ 4) / 100 = 16.64

Therefore, Aiden's new hourly wage will be 16.64 per hour.

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Answer:

Hello! answer: 308 HOPE THAT HELPS!

Answer:

y<-3x+2

Step-by-step explanation:

ok. it's shaded below, so y is gonna be less than. we can eliminate A and B.

looking at the y-intercept, it's 2. that doesn't narrow anything down so lets do rise/run or delta y over delta x

rise/run is -3/1

that gives us -3

putting it all together....

y<-3x+2

D is the correct answer.

i hope you understood. have a great day :)

Age will be 40 years old.

R, in beats per minute, can be approximated by the formulas, where a represents the person's age.

where R= 143 - 0.65a for women.... (1)

and R= 165 - 0.75a for men,..... (2)

So by implementing these two equation we get a = 40

If the sum of ages is X and Y, and the ratio of their ages is p:q, then the age of Y can be calculated using the formula shown below: Y's age = Y's ratio/Sum of ratios x sum of ages The age dependency ratio is the ratio of dependents (people under the age of 15 or over the age of 64) to the working-age population (people between the ages of 15 and 64). The proportion of dependents per 100 working-age population is shown in the data.

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Answer:

3

Step-by-step explanation:

20+8=28

100/28=3.57

Answer:

The most she can order is 4

Step-by-step explanation:

if you subtract the 8 ur left with 92. divide that by 20 and u get 4.6 but u cant order a half box so the answer is 4.

sorry if this is wrong :)

The maximum value of f(x, y) is 1/4 and the minimum value is 0, which occurs at the point (0, 0).

Given the region (in the plane) by x² + y² - xy ≤ 1, we need to find the maximum and minimum values that

f(x,y) = x² - xy

achieves on the part of this region that lies on or above the line y = 1.

:Let's calculate ∂f/∂x and ∂f/∂y.

∂f/∂x = 2x - y

∂f/∂y = -x

Now, equating both to zero we get:

2x - y = 0

=> y = 2x and-x = 0

=> x = 0

So, critical point (0, 0)

Now, let's calculate ∂²f/∂x² = 2 and

∂²f/∂y² = 0,

∂²f/∂x∂y = -1

Hence the Hessian matrix is:

H(x, y) = [2 -1; -1 0]

Therefore, f(x, y) has a local minimum at the point (0, 0).

For maximum, we need to find the boundary points on the given region, which lies above the line y = 1.

Observe that, when y = 1, we have

x² + 1 - x ≤ 1

=> x² - x ≤ 0

=> x(x-1) ≤ 0

=> 0 ≤ x ≤ 1.

So, the boundary of the region consists of two arcs of an ellipse, given by:

y = 1, 0 ≤ x ≤ 1

and

x² + (y - 1)² ≤ 2

In the second region, let's substitute

y = 1 + r cos θ,

x = r sin θ,

which yields:

x² + y² - xy = 1

=> r² sin² θ + r² cos² θ + r² cos θ sin θ - r sin θ (1 + r cos θ) = 1

=> r² (1 - sin θ cos θ) + r sin θ - sin θ = 0

Solving the above quadratic in r, we get:

r = (sin θ ± √(sin² θ + 4 sin² θ cos θ - 4 sin θ cos θ)) / 2(1 - sin θ cos θ)

Now,

f(x, y) = x² - xy

= r² sin² θ - r² sin θ cos θ

= r² sin θ (sin θ - cos θ)

The maximum and minimum value of f(x,y) can be found by using Lagrange multipliers.

Let g(x,y) = x² + y² - xy - 1 and g₁(x,y) = y - 1.

Then

∇f(x,y) = λ∇g(x,y) + µ∇g₁(x,y)

=> [2x - y, -x] = λ[2x - y, -x] + µ[0, 1]

From first equation, λ = 1 and µ = -2.

Using these values in the second equation, we have:

2x - y = 0 => y = 2x, which lies on the line y = 1.

This gives the critical point (0, 0).

Using the first equation and the given boundary equations, we have:

y = 1,

λ = -1,

2x - y = 0

=> x = 1/2

and

x² + (y - 1)² = 2

=> r = 1

Using this in f(x, y) = r² sin θ (sin θ - cos θ), we get:

f(1/2, 1) = 1/4;

f(r sin θ, 1 + r cos θ) = r² sin θ (sin θ - cos θ),

where r = 1 and 0 ≤ θ ≤ π/2

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Answer:

y = - 4x - 10

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 4 , thus

y = - 4x + c ← is the partial equation

To find c substitute (- 4, 6) into the partial equation

6 = 16 + c ⇒ c = 6 - 16 = - 10

y = - 4x - 10 ← equation of line

Answer:

y = -4x+10

Step-by-step explanation:

Using the slope intercept form of a line

y = mx+b where m is the slope and b is the y intercept

y = -4x +b

Substituting the point in

6 = -4(-4) + b

6 = 16+b

Subtract 16 from each side

-10 =b

The equation is

y = -4x+10

Answer:

I would use a timeline to illustrate the following: Comparing the events of a story to what was going on in the world at the time the story was written.

A timeline is a graphic organizer that shows the order in which events happened. It can be used to compare events in a story to events in the real world.
To create a timeline, you will need to identify the events that happened in the story and the events that happened in the real world. You can then arrange the events in chronological order. You can also add additional information to the timeline, such as the dates of the events and the people who were involved.

Here is an example of a timeline that compares the events of the story "The Great Gatsby" to the events that were happening in the world at the time the story was written:

The Great Gatsby

The World in 1922

Summary:
A timeline can be a helpful tool for understanding the historical context of a story. By comparing the events of a story to the events that were happening in the world at the time the story was written, you can gain a deeper understanding of the story's meaning and significance.

Answer:

I would use a timeline to illustrate the following: Comparing the events of a story to what was going on in the world at the time the story was written.

A timeline is a graphic organizer that shows the order in which events happened. It can be used to compare events in a story to events in the real world.

To create a timeline, you will need to identify the events that happened in the story and the events that happened in the real world. You can then arrange the events in chronological order. You can also add additional information to the timeline, such as the dates of the events and the people who were involved.

Here is an example of a timeline that compares the events of the story "The Great Gatsby" to the events that were happening in the world at the time the story was written:

The Great Gatsby

1922: The story takes place.

1920: The Eighteenth Amendment to the United States Constitution is ratified, prohibiting the manufacture, sale, and transportation of alcoholic beverages.

1929: The stock market crashed, leading to the Great Depression.

The World in 1922

The Roaring Twenties: A Period of economic prosperity and cultural change in the United States.

The Jazz Age: A period of artistic and cultural innovation, characterized by the rise of jazz music and dance.

The Lost Generation: A group of American writers and artists who lived in Europe during the 1920s.

A timeline can be a helpful tool for understanding the historical context of a story. By comparing the events of a story to the events that were happening in the world at the time the story was written, you can gain a deeper understanding of the story's meaning and significance.

Step-by-step explanation:

The number of square inches of cloth cut from the square will be 1,017.36 square inches. Then the correct option is A.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

Let r be the radius of the circle. Then the area of the circle will be

A = πr² square units

The radius is given as,

r = 36 / 2

r = 18 inches

The area of the circle is given as,

A = π x (18)²

A = 3.14 x 324

A = 1,017.36 square inches

The number of square inches of cloth cut from the square will be 1,017.36 square inches. Then the correct option is A.

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The complete question is given below.

A circle is cut from a square piece of cloth, as shown:

A square, one side labeled as 36 inches, has a circle inside it. The circle touches all the sides of the square. The portion of the square outside the circle is shaded.

How many square inches of cloth is cut from the square?

(π = 3.14)

1,017.36 in2

1,489.24 in2

1,182.96 in2

1,276.00 in2

The expression (1 + i)20 can be simplified and written in the standard form a + bi.

To simplify the expression (1 + i)20, we can expand it using the binomial theorem. According to the binomial theorem, the expansion of (a + b)n can be calculated by summing the terms obtained by raising a to decreasing powers and b to increasing powers, with coefficients determined by combinatorial factors.

In this case, a = 1 and b = i. Applying the binomial theorem, we have:

(1 + i)20 = 1^20 + 20(1^19)(i) + 20(1^18)(i^2) + ... + 20(1)(i^19) + i^20.

Now, let's simplify each term. Since i^2 = -1, we can replace i^2 with -1:

(1 + i)20 = 1 + 20(1)(i) - 20(1) + 20(1)(i) + ... + 20(1)(i) - 1.

Simplifying further, we combine like terms:

(1 + i)20 = -20 + 40i.

Hence, we can write the expression (1 + i)20 in the standard form a + bi as -20 + 40i.

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Approximately 897 liters of oil would be required to supply the electrical energy needs of an average home for a year. Keep in mind that this is a rough estimate, as factors like energy consumption and power plant efficiency can vary.

To answer your question, we need to consider a few factors such as the size of the home and the energy consumption of the household. However, on average, a household consumes around 10,000 kilowatt-hours (kWh) of electricity per year. If we convert this into liters of oil, we can use a conversion factor of 0.2778 liters of oil per kWh. Therefore, an average household would require around 2,778 liters of oil per year to supply their electrical energy needs.
It is important to note that this is just an estimate and the actual amount of oil required may vary depending on various factors such as the efficiency of the heating system and the energy usage habits of the household. It is also worth considering alternative energy sources such as solar or wind power, which can reduce the dependence on oil and lower the carbon footprint of the household.
In conclusion, an average household would require approximately 2,778 liters of oil to supply their electrical energy needs for a year. However, it is important to explore alternative energy sources and implement energy-saving measures to reduce the reliance on oil and minimize environmental impact.
The number of liters of oil required to supply the electrical energy needs of an average home for a year depends on the home's energy consumption and the efficiency of the power plant converting the oil into electricity. On average, a US household consumes about 10,649 kilowatt-hours (kWh) of electricity per year.
A typical oil-fired power plant can produce around 1,885 kWh of electricity from one barrel (159 liters) of oil, with an efficiency rate of around 33%. To calculate the number of liters needed for a year, we can use the formula:
(Number of kWh per year) / (kWh per liter of oil) = Liters of oil needed
First, let's find the kWh per liter of oil: 1,885 kWh/barrel * (1 barrel/159 liters) ≈ 11.86 kWh/liter
Now we can calculate the liters of oil needed: 10,649 kWh/year / 11.86 kWh/liter ≈ 897 liters/year
So, approximately 897 liters of oil would be required to supply the electrical energy needs of an average home for a year. Keep in mind that this is a rough estimate, as factors like energy consumption and power plant efficiency can vary.

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Step-by-step explanation:

f(x) = 3x2+2x-3

g(x) = -x+4

(g.f)(x) = g[3x2+2x-3]

           = -(3x2+2x-3)+4

           = -3x2-2x+3

(g.f)(1) = -3(1)2-2(1)+3

           = -3-2+3

           = -2            

Answer:

I think its 1/6

Step-by-step explanation:

cause there are six numbers so the probility is out of six

that could be wrong not 100% sure its been a while  

Answer: B

Step-by-step explanation:

There is a positive correlation between the variables. The variables relate to each other because as x (the temperature) increases, the sales of ice cream (in dollars) increases as well.

Answer:

They all are sorta aligned and close together

Step-by-step explanation:

In my perspective when variables are aligned they are equal and are easier to work with.

The surface area of the cuboid is 3.286 cm²

A cuboid is a solid shape or a three-dimensional shape.

Surface area is the amount of space covering the outside of a three-dimensional shape.

The surface area of a cuboid is expressed as;

SA = 2( lb + lh + bh)

length = 1 2/5 = 7/5

breadth = 5/8

height = 3/8

lb = 7/5 × 5/8 = 7/8

bh = 5/8 × 3/8 = 15/64

lh = 7/5 × 3/8 = 21/40

surface area =2( 7/8 + 15/64+21/40)

= 2( 0.875 + 0.234 + 0.525)

= 2( 1.634)

= 3.268 cm²

The surface area of the cuboid is 3.268 cm²

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Answer: B(0,-6); C(-2,0)

Step-by-step explanation:

A was translated 4 units to the right (x) and 5 units down (y)

Do the same for the other points

B(-4+4, -1-5)                        C(-6+4, 5-5)

B(0, -6)                                C(-2, 0)

Answer:

a.125.89..............

Answer:

A

Step-by-step explanation:

if not A then B but i'm pretty sure A

Answer:

A

Step-by-step explanation:

just did it on edge

Answer:Both A and C

Step-by-step explanation:

Four friends want to take a vacation together, so each one gets a part-time job. Each person has 8 weeks to save $720 for the vacation. Analyze the four individual plans below and decide which of the four people will reach his or her goal of saving $720 for vacation.

Friend A: Works 13 hours per week at $6.95 per hour.

Friend B: Works 15 hours per week at $5.85 per hour.

Friend C: Works 18 hours per week at $5.25 per hour.

Friend D: Works 11 hours per week at $7.80 per hour.  there!

In a set S whic is said to be infinite if there is a one-to-one correspondence between S and a proper subset of S, then
the set of integers is infinite, the set of real numbers is infinite and if a set S has a subset A which is infinite, then S must be infinite.

Given that a set S is said to be infinite if there is a one-to-one correspondence between S and a proper subset of S, we want to prove the following statements:

(a) The set of integers is infinite.

(b) The set of real numbers is infinite.

(c) If a set S has a subset A which is infinite, then S must be infinite.

(a) Let A be the set of positive integers, i.e., A = {1, 2, 3, 4, 5, ...}. We define a function f: A → Z (the set of integers) by f(n) = n - 1. It can be shown that f is both one-to-one and onto. This means that there is a one-to-one correspondence between A and Z. By repeating the same argument, we can also prove that there is a one-to-one correspondence between the negative integers and A. Hence, Z is infinite.

(b) Suppose, for contradiction, that the set of real numbers, R, is finite. Then there would be a one-to-one correspondence between R and some finite set F. Without loss of generality, let F = {a_1, a_2, ..., a_n} where a_1 < a_2 < ... < a_n. Let ε > 0 be such that ε < min{|a_1|, |a_2| - |a_1|, ..., |a_n| - |a_(n-1)|, |a_n|}. For any x ∈ R, we consider different cases:

- If x < 0, then x < -ε < a_1.

- If 0 ≤ x < a_1, then 0 ≤ x + ε < a_1.

- If a_i < x < a_(i+1) where 1 ≤ i ≤ n - 1, then a_i + ε < x + ε < a_(i+1) - ε < a_(i+1).

- If x > a_n, then x - ε > a_n.

We define a function g: R → F by:

- g(x) = a_1 + ε if x < 0,

- g(x) = x + ε if 0 ≤ x < a_n,

- g(x) = a_(i+1) - ε if a_i < x < a_(i+1) where 1 ≤ i ≤ n - 1,

- g(x) = a_n - ε if x > a_n.

It can be shown that g is both one-to-one and onto. This contradicts the assumption that R is finite. Therefore, R must be infinite.

(c) Let S be a set such that A is a subset of S, and A is infinite. Suppose, for contradiction, that S is finite. Then, there would be a one-to-one correspondence between S and some finite set F. Let F = {a_1, a_2, ..., a_n}. There are finitely many elements in S that are not in A, denoted as {b_1, b_2, ..., b_m}. We choose ε > 0 such that ε < min{|a_1 - b_1|, |a_2 - b_2|, ..., |a_m - b_m|}. We define a function f: A → S as follows: f(a_i) = a_i for 1 ≤ i ≤ n, and f(a_i) = b_i + ε for 1 ≤ i ≤ m. It can be shown that f is both one-to-one and onto. This contradicts the assumption that S is finite. Therefore, S must be infinite.

Hence, we have proved the statements:(a) The set of integers is infinite, (b) The set of real numbers is infinite and (c) If a set S has a subset A which is infinite, then S must be infinite.

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Answer: the price of one senior citizen ticket is $10, and the price of one student ticket is $5.

Step-by-step explanation:

Let's assume the price of one senior citizen ticket is 's' dollars and the price of one student ticket is 't' dollars.

According to the given information, on the first day, the school sold 7 senior citizen tickets and 11 student tickets, totaling $125. This can be expressed as the equation:

7s + 11t = 125 ---(1)

On the second day, the school sold 14 senior citizen tickets and 8 student tickets, totaling $180. This can be expressed as the equation:

14s + 8t = 180 ---(2)

We now have a system of two equations with two variables. We can solve this system to find the values of 's' and 't'.

Multiplying equation (1) by 8 and equation (2) by 11, we get:

56s + 88t = 1000 ---(3)

154s + 88t = 1980 ---(4)

Subtracting equation (3) from equation (4) eliminates 't':

(154s + 88t) - (56s + 88t) = 1980 - 1000

98s = 980

s = 980 / 98

s = 10

Substituting the value of 's' back into equation (1), we can solve for 't':

7s + 11t = 125

7(10) + 11t = 125

70 + 11t = 125

11t = 125 - 70

11t = 55

t = 55 / 11

t = 5

Therefore, the price of one senior citizen ticket is $10, and the price of one student ticket is $5.

The correct function type for each situation:

1) A competition eliminates one-fourth of the participants per round. -  exponential

2) A pizzeria charges a base price for pizza and then $1.50 for each additional topping. -  linear

3) A tutor charges $40 per hour of tutoring. -  linear  

4) An animal population doubles every 3 months. - exponential

5) An electrician charges $125 per house call and then $65 per hour of work. -  linear

We know  that, in order to determine whether fundtion is linear or exponential we chaeck the relationships in the way the y-values change when the x-values increase by a constant amount:

In case of a linear function, the y-values have equal differences.

And in an exponential function, the y-values have equal ratios.

1) A competition eliminates one-fourth of the participants per round.  

This is an exponential function.

2) A pizzeria charges a base price for pizza and then $1.50 for each additional topping.

This situation could be modeled with a linear function.

3) A tutor charges $40 per hour of tutoring.

This situation could be modeled with a linear function.

4) An animal population doubles every 3 months.

This situation could be modeled with an exponential function.

5) An electrician charges $125 per house call and then $65 per hour of work.

This situation could be modeled with a linear function.

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Find the complete question below.

Answer:

45

Step-by-step explanation:

by the definition of an isocoles triangle, defined by having two congruent sides,  (p-s, r-s), angles SPR and SRP are congruent. by the triangle sum theorem, (internal angles + to 180˚) 90˚ + 2a = 180˚. 2a =90, a = 45