Nina gave her grandmother 12 cookies. She had more than 16 cookies
remaining. If y represents the number of cookies Nina started with, which
inequality represents this situation?

A y + 16 > 12

B y - 16 < 12

C y + 12 > 16

D y - 12 > 16

A ⊆ C and B ⊆ D. Therefore, A = C and B = D. If the assumption that the sets A, B, C, and D are non-empty is removed, the statements may not hold. Without the assumption, it is possible for one or more of the sets to be empty.

1. If A × B ⊆ C × D, it means that every element (a, b) in A × B is also an element of C × D. This implies that a must be in A and b must be in B, and since (a, b) is in C × D, a must be in C and b must be in D. Therefore, A ⊆ C and B ⊆ D.

2. If A × B = C × D, it means that every element (a, b) in A × B is also an element of C × D, and vice versa. This implies that for any (a, b) in A × B, a must be in A, b must be in B, a must be in C, and b must be in D. Therefore, A = C and B = D.

3. If the assumption that the sets A, B, C, and D are non-empty is removed, the statements may not hold. Without the assumption, it is possible for one or more of the sets to be empty, which would change the relationships between the sets. For example, if A is an empty set, then A × B will also be empty, regardless of the sets B, C, and D. Similarly, if B is empty, A × B will be empty, and it will not be possible to determine the relationships between A, C, and D.

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By the given criterias ABC is a right angle triangle at B

By Pythagoras theorem ,

AB(Perpendicular)= √20²-16² cm

AB = 12 cm

Given :- ∆DEF ∼ ∆ABC

where Angle B and Angle E are 90°

Therefore , SinF = SinC

Hence , SinF is 3/5

Answer:

AB

Step-by-step explanation:

I believe because on the other side it is AE over ED so I just repeated the pattern.

Answer:

0.2

Step-by-step explanation:

Graph each side of the equation. The solution is the x-value of the point of intersection.

The correct solution for the equation \(x^5+10x^3+20x-4 = 0\) is \(x \approx 0.8432\).

Given expression:

\(x^5+10x^3+20x-4 = 0\)

To solve the equation \(x^5+10x^3+20x-4 = 0\) use the Newton-Raphson method, which is a form of linear approximation.

The Newton-Raphson method is an iterative numerical technique for finding approximations to the roots of a real-valued function.

The formula for the Newton-Raphson method is as follows:

\(x_{n+1} = x_n - \dfrac{f(x_n)}{f'(x_n)}\)

Where:

\(x_{n+1}\)   next approximation of the root.

\(x_n\) be the current approximation of the root.

\(f(x_n)\)  value of the function at \(x_n\).

\(f'(x_n)\)  be the derivative of the function at  \(x_n\).

For equation \(f(x) = x^5+10x^3+20x-4\) .

find the derivative of the function, \(f'(x)\):

\(f'(x) = 5x^4 + 30x^2 + 20.\)

Now, choose an initial guess for the root, \(x_0\) = 1.

Iteration 1:

\(x_1 = x_0 - \dfrac{f(x_0)}{f'(x_0)}\)

\(x_1 = 1 - \dfrac{(1^5 + 10(1^3) + 20(1) - 4)} { 5(1)^4 + 30(1)^2 + 20}\)

\(x_1 \approx 1 - \dfrac{7} {55}\)

\(x_1 \approx 0.8727\)

Iteration 2:

\(x_2 = x_1 - \dfrac{f(x_1)} {f'(x_1)}\)

\(x_2 \approx 0.8432\)

Iteration 3:

\(x_3 \approx 0.8432\)

The  value of x  is approximately \(0.8432\).

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Answer:

Step-by-step explanation:

Awnser: 3 to 1

Answer:

3:1

Step-by-step explanation:

12 inches in a foot

12 divided by 4 is 3 hope this helps:)

The expression f(x)dx represents the change in the elevation between two points, x and x + dx, on a trail.

To illustrate, if x is the distance of two miles from the start of a trail and f(x) is the slope (in feet per mile) at that location, then f(x)dx will represent the change in elevation between two miles and two miles plus dx. This would be the same as the change in elevation if one were to walk along the trail from two miles from the start of the trail to two miles plus dx from the start of the trail.

This expression is useful for calculating the total elevation gain (or loss) of a certain segment of a trail, which can then be used to calculate the total elevation gain (or loss) of the entire trail. For example, if f(x)dx is used to calculate the change in elevation from x = 2 miles to x = 8 miles, then f(x)dx would represent the elevation gained or lost between x = 2 miles and x = 8 miles from the start of the trail. This value would then be used to calculate the total elevation change of the entire trail. Additionally, this expression can also be used to calculate the elevation of a point on the trail relative to the starting point, allowing one to determine the elevation at any point on the trail.

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The responses are;

Part A

The equation with which the amount of money the team keeps from the fund raising is indicated by the equation in the option;

Part B

An equation is a mathematical statement in which two mathematical expressions that consists of variables and or numbers are connected with the equals sign.

An equation can be used to model observed phenomena and to help provide a technique or method for predicting the value of an output at a specified input.

Part A;

The amount the soccer team keeps for each $10 they make = $1

The amount from the total sales from the three items the team sells, obtained from a similar question, online, includes; $196 from hats, $504 from T-shirts, and $420 from the sale of sweatshirts

The question has two parts; The second part of the question requires the amount of money the team keeps.

The total sales the team makes = t

The amount of money the team gets to keep = k

The equation with which the amount of money the team keeps is therefore;

\(k = \dfrac{t}{10}\), which is can be expressed as t ÷ 10 = k

The equation that can be used to find the amount the team gets top keep, k, is; t ÷ 10 = k

The above equation that states the amount of money the team keeps, indicates that the team keeps 10% of the total sales from the fund raiser

Part B;

t = $196 + $504 + $420 = $1,120

t ÷ 10 = k

Therefore; $1,120 ÷ 10 = $112

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Answer: 23$ was in your pocket before u picked up 5$

Step-by-step explanation: Just subtract the total amount by hiw much u found...

the correct answer is 2.39 ft, which corresponds to option 2.

To determine the height of the cylindrical rain barrel, which has a radius of 2 feet and holds 30 cubic feet of water, we need to solve for the height using the given information and the formula for the volume of a cylinder. The answer choices provided are: 1. 58 ft, 2. 39 ft, 3. 57 ft, and 4. 78 ft.

The formula for the volume of a cylinder is V = πr²h, where V is the volume, r is the radius, and h is the height. In this case, we are given the radius as 2 feet and the volume as 30 cubic feet.

Substituting the given values into the formula, we have:

30 = 3.14 * 2² * h

Simplifying the equation:

30 = 12.56 * h

h = 30 / 12.56

h ≈ 2.39 ft

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Answer: you can't really answer this because it's not telling me how many questions she answered so I don't know how many questions there are to decide how many points there are for each question but I'll give it a try.  

Step-by-step explanation:

41 - 8 = 33  that's all I got and also next time make sure you put the answer choices on that too if there are any

Answer:

Step-by-step explanation:

interval in mathematics stands for a set of real numbers,

denoted by [a,b] where a and b are the starting and ending real numbers both inclusive respectively.

thus, interval [a,b] is the set of real numbers starting from a to b both are real numbers and are included.

Answer:

x=1

Step-by-step explanation:

subract 4.3 from both sides. add x to both sides. divide by 2.2 from both sides

The solution to the equation 1.2x + 4.3 = 2.1 - x is x = -1.

Given is an equation 1.2x + 4.3 = 2.1 - x, we need to solve for x,

To solve the equation 1.2x + 4.3 = 2.1 - x, we can follow these steps:

1. Combine like terms on both sides of the equation:

1.2x + x = 2.1 - 4.3

2. Simplify the equation:

2.2x = -2.2

3. Divide both sides of the equation by 2.2 to isolate x:

x = -2.2 / 2.2

4. Simplify the right side of the equation:

x = -1

Therefore, the solution to the equation 1.2x + 4.3 = 2.1 - x is x = -1.

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A majority of the college seniors in the survey are not planning to attend graduate school. The discipline of business constitutes the majority of individuals in the survey.

In more detail, let's analyze the crosstabulation table. To determine if a majority of the seniors are planning to attend graduate school, we can compare the total number of "yes" responses (140) to the total number of respondents (400).

Since 140 is less than 50% of 400, we can conclude that a majority of the seniors are not planning to attend graduate school.

To identify which discipline constitutes the majority of individuals in the survey, we can examine the column totals.

The highest column total corresponds to the "engineering" discipline, with 146 individuals. Therefore, engineering is the discipline that constitutes the majority of individuals in the survey.

To compute the row percentages, we divide each cell by its respective row total and multiply by 100. This gives us the percentage of students in each undergraduate major who plan to attend graduate school.

By analyzing these percentages, we can identify any patterns or relationships between the students' majors and their intention of attending graduate school.

To compute the column percentages, we divide each cell by its respective column total and multiply by 100. This allows us to examine the percentage of students who plan to attend graduate school within each undergraduate major category.

Analyzing these percentages can reveal any relationships between the students' intention of going to graduate school and their undergraduate major.

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The coordinate of the point is (6,-2)

The given parameters are:

A = (1,8)

B = (7,-4)

The location of the point (i.e 5/6) means that the ratio is:

m :n = 5 : (6 - 5)

m : n = 5 : 1

The coordinate of the point is then calculated as:

\((x,y) = \frac{1}{m + n}* (mx_2 + nx_1,my_2 + ny_1)\)

So, we have:

\((x,y) = \frac{1}{5 + 1}* (5 * 7 + 1 * 1 , 5 * -4 + 1 * 8)\)

Evaluate

\((x,y) = \frac{1}{6}* (36 , -12)\)

Evaluate the product

(x,y) = (6,-2)

Hence, the coordinate of the point is (6,-2)

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Answer:

-1/2 (x + 1)

Step-by-step explanation:

y2 - y1 / x2 - x1

5 - 6 / 1 - (-1)

-1/2

y - 6 = -1/2 (x + 1)

Answer:

Solving it would turn into these:

(20x+37)/ x- 5

20+ (137/x-5)

Answer: Where is the image?

Step-by-step explanation:

Answer:

Chord

Step-by-step explanation:

Notice that the highlighted part is the line segment that joins the points J and E on the circle, which is known as a chord.

Answer:

h = 440.94 feet

Step-by-step explanation:

It is given that,

An architect is standing 370 feet from the base of a building, x = 370 feet

The angle of elevation is 50°.

We need to find the approximate height of the building. let it is h. It can be calculated using trigonometry as follows :

\(\tan\theta=\dfrac{P}{B}\\\\\tan\theta=\dfrac{h}{x}\\\\h=x\tan\theta\\\\h=370\times \tan50\\\\h=440.94\ \text{feet}\)

So, the approximate height of the building is 440.94 feet

Answer:

(3,22.50)

(6, 33)

Rise/Run using two points

33-22.50/ 6-3

10.5/3

Rate = 3.5

Answer: 625 meters

Step-by-step explanation: Five hundred meters of pipe would require twenty men working for ten days.

First, we have to find the rate of work for one man. This is calculated thus:

(500m) ÷ (20men × 10 days) = 500 ÷ 200 = (5/2) = 2.5 meters per day

From the rate of work of one man, we can then calculate the length in meters that fifty men can lay in five days. This is calculated thus:

50 men × (5/2) × 5 days = 50 × 2.5 × 5 = 625 meters.

Therefore, fifty men working together would lay six hundred and twenty five (625) meters of pipe in five days.

a. If all countries act in their self-interest, each country will choose a level of abatement zi = 99.50.

b. We conclude that there is no level of abatement that maximizes the collective payoff.

c. There is no efficiency gain from full cooperation.

A derivative of a function with respect to an independent variable is what is referred to as differentiation. Calculus's concept of differentiation can be used to calculate the function per unit change in the independent variable.

(a) If all countries act in their self-interest, they will choose the level of abatement zi that maximizes their own payoff Ti. To find this level, we need to differentiate Ti with respect to zi and set the result equal to zero:

dTi/dzi = d(B;(Z) – C(zi))/dzi = d(B;(Z))/dZ * dZ/dzi - d(C(zi))/d(zi) = 10 - 0.01Zi - 50zi

Setting this expression equal to zero, we get:

10 - 0.01Zi - 50zi = 0

Solving for Zi, we get:

Zi = (10 - 0.01Zi)/50

Zi = 0.2 - 0.002Zi

Zi = 0.2/(1 + 0.002)

Zi = 99.50

Therefore, if all countries act in their self-interest, each country will choose a level of abatement zi = 99.50.

(b) If the countries cooperate to maximize the collective payoff, they will jointly choose the level of abatement that maximizes the expression:

II = B;(Z) - C(zi)

To find the optimal level of abatement, we need to differentiate II with respect to zi and set the result equal to zero:

dII/dzi = d(B;(Z))/dZ * dZ/dzi - d(C(zi))/d(zi) = 10 - 0.01Z - 50zi

Setting this expression equal to zero, we get:

10 - 0.01Z - 50zi = 0

Solving for Zi, we get:

Z = (10 - 50zi)/0.01

Z = 1000 - 5000zi

Substituting this expression for Z into the expression for zi, we get:

zi = 0.2 - 0.002(1000 - 5000zi)

zi = 0.2 - 2 + 10zi

11.8zi = -2

zi = -0.17

This result is not physically meaningful since zi must be non-negative. Therefore, we conclude that there is no level of abatement that maximizes the collective payoff.

(c) Since there is no level of abatement that maximizes the collective payoff, cooperation does not result in a Pareto improvement in this case. There is no efficiency gain from full cooperation.

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Answer:

♡Greetings!

It's 11 percent ♡

Hope I could help you, stay safe! \(≧▽≦)/

~ Clara

✧･ﾟ: *✧･ *:･ﾟ✧*:･ﾟ✧･ﾟ: *✧･ﾟ *:･ﾟ✧*:･ﾟ✧✧･ﾟ: *✧･ *:･ﾟ✧*:･ﾟ✧･ﾟ: *✧･ﾟ

Step-by-step explanation:

Answer: D.

Step-by-step explanation:

You can start out with the form AX = B and solve for matrix X that would yield the answer

Then X = (A^-1)(B)

A = [1    -1]

      [1     1]

A^-1 = (1/(1 - (1)(-1)))*[1    1]

                             [-1   1]

which can be written as (1/2) * [1    1]

                                                  [-1   1]

B = [26]

     [6]

(A^-1)(B) = (1/2)*[1    1] [6]

                        [-1   1] [26]

= (1/2)*[32]

          [20]

= [16]

  [10]

Answer:B

Step-by-step explanation:

Answer:

B-reflect across line PQ then dilate with a scale factor greater than 0 and less than 1

Step-by-step explanation:

Answer:

y=(-)3

Step-by-step explanation:

(-)8+2=(-)6

​(-)6/2=(-)3

Check:

((-)3x2)-2=(-)8

\(\large \mathfrak{Solution : }\)

let's solve for y :

therefore, the value of above expression is 18 .

P(A|B) = 1/3

"A Venn diagram in mathematics is a diagram that uses overlapping circles or other shapes to represent the logical relationships between two or more sets of items. "

"For any experiment, a probability denotes the possibility of outcome for any event."

For event A, the probability of event A is,

P(A) = number of favorable outcomes/ total umber of outcomes

"Conditional probability is the probability of an event occurring given that another event has already occurred."

P(A|B) = P(A∩B)÷P(B)

For given diagram:

Let A represents a set of students playing Basketball and B represents a set of students playing Soccer

So, A = {Fran, Ian, Juan, Ella}

⇒ n(A) = 4

B = {Mickey, Marcus, Ella}

⇒ n(B) = 3

(A ∩ B) = {Ella}

⇒ n(A ∩ B) = 1

sample space: S = {Fran, Ian, Juan, Ella, Mickey, Marcus, Mai, Karl, Jada, Gabby}

⇒ n(S) = 10

Now, we calculate probability of B and A∩B.

P(B) = n(B)/n(S)

⇒ P(B) = 3/10

Also, P(A∩B) = n(A∩B) / n(S)

⇒ P(A∩B) = 1/10

So, the required probability would be,

⇒ P(A|B) = P(A∩B) ÷ P(B)

⇒ P(A|B) = (1/10) ÷ (3/10)

⇒ P(A|B) = 1/3

Therefore, P(A|B) = 1/3

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The number that goes to column D is the total equity of $825.

Using annual rate of return APR:

A = P *\((1 + r/n)^{nt}\)

P = $750.

r = 10%

t = 1 year

n = 1

A = 750 * \((1 + 0.1/1)^{1*1}\)

A = 750 * 1.1

A = 825

Thus, the number that goes to column D is the total equity of $825.

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