Please help I don’t understand

We can write the quadratic equation as -

y = - (x - 25)² + 625

The general form of a quadratic equation is -

y = ax² + bx + c

where -

a, b and c are constants.

Given is that Sameen wants to build a fence around a rectangular area of her yard. The graph shows the area {y} in square feet that she can surround with the fencing that she has, where the breadth is width {x} in feet of the rectangle.

The given coordinates on the parabola are -

(8, 336)

(42, 336)

(25, 625)

Here, the point (25, 625) represents the vertex (h, k) of the parabola.

We can write the equation of parabola as -

y = a(x - h)² + k

y = a(x - 25)² + 625

For the point (8, 336), we can write -

336 = a(8 - 25)² + 625

336 - 625 = a(8 - 25)²

a(8 - 25)² = - 289

a(- 17)² = -289

a = -289/289

a = -1

So, we can write the quadratic equation as -

y = - (x - 25)² + 625

Therefore, we can write the quadratic equation as -

y = - (x - 25)² + 625

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The correct statements are 7. 3 ∈ B, 9. B ⊂ A, 12. C ⊂ U

13. A ⋃ B  = {1, 2, 3, 4, 5, }   14. A ⋃ C  = { 1, 2, 3, 4, 5, 6}

15. A ⋂ C  = { 4 }                   16. B ⋂ C = { }

17. [tex]A^{c}[/tex]  =  {6, 7, 8, 9, 10}         18. [tex]B^{c}[/tex] = {0, 2, 4, 6, 7, 8, 9, 10}  

In mathematics, a set is a collection of distinct objects, which are called its elements or members. These objects can be anything - numbers, letters, people, animals, or other sets.

Sets are typically denoted using curly braces, and the elements of the set are listed inside the braces, separated by commas.

Here we have

A = {1, 2, 3, 4, 5} B = {1, 3, 5} C = {4, 6}  and U = {numbers from 0 to 10}

=> U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 }

i. Indicate if each statement is true or false.

7. 3 ∈ B which means 3 belongs to set B

Since, set B = {1, 3, 5}

=> ∴ 3 ∈ B is true

8. 5 ∈ C which means 5 belongs to set C

The set C = {4, 6}

=> 5 ∈ C is false

9. B ⊂ A which means B is a subset of A and elements of B are belongs to set A.  

Since elements of B are lies in set A

=> B ⊂ A is true

10. C ⊂ A which means C is a subset of A

Since all the elements of C are not lie in set A

=> C ⊂ A is false

11. C ⊂ B which means C is a subset of B

Since all the elements of C are not lie in set B

=> C ⊂ B is false

12. C ⊂ U which means C is a subset of U

Since all the elements of C are lies in U

=> C ⊂ U is true  

13. A ⋃ B = {1, 2, 3, 4, 5} ∪ {1, 3, 5} = {1, 2, 3, 4, 5, }  

14. A ⋃ C = {1, 2, 3, 4, 5} ∪ {4, 6} = { 1, 2, 3, 4, 5, 6}

15. A ⋂ C  = {1, 2, 3, 4, 5} ⋂ {4, 6} = { 4 }

16. B ⋂ C =  {1, 3, 5} ⋂ {4, 6} = { }

17. [tex]A^{c}[/tex]  = The elements in the universal set but not in A = {6, 7, 8, 9, 10}

18. [tex]B^{c}[/tex] = The elements in universal set but not in B = {0, 2, 4, 6, 7, 8, 9, 10}  

Therefore,

The correct statements are 7. 3 ∈ B, 9. B ⊂ A, 12. C ⊂ U

13. A ⋃ B  = {1, 2, 3, 4, 5, }   14. A ⋃ C  = { 1, 2, 3, 4, 5, 6}

15. A ⋂ C  = { 4 }                   16. B ⋂ C = { }

17. [tex]A^{c}[/tex]  =  {6, 7, 8, 9, 10}         18. [tex]B^{c}[/tex] = {0, 2, 4, 6, 7, 8, 9, 10}  

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According to the given information, Jeremy is saving approximately $20.56 per week for his new tires.

What is basic arithmetic?

Basic arithmetic refers to the fundamental operations of arithmetic, which include addition, subtraction, multiplication, and division. These operations are used to perform calculations with numbers, such as counting, computing sums, finding differences, calculating products, and determining quotients.

We can use this information to find Jeremy's weekly savings rate.

To find the weekly savings rate, we need to first find out how much Jeremy saves in a week.

For the first month, which is four weeks, Jeremy saves $230.

For the next three months, which is 12 weeks, he saves an additional $329 - $230 = $99.

Therefore, in total, Jeremy saves $230 + $99 = $329 in 16 weeks.

His weekly savings rate is then:

$329 / 16 weeks = $20.56 per week (rounded to the nearest cent)

So, Jeremy is saving approximately $20.56 per week for his new tires.

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Answer: A great white shark can grow up to 20 feet in length, while a horn shark can grow up to 3 feet in length. Therefore, a great white shark is 17 feet larger than a horn shark.

Bamboo sharks can grow up to 5 feet in length. Therefore, to equal the length of a great white shark, you would need 4 bamboo sharks (since 4 x 5 = 20).

Step-by-step explanation:

Answer:

Step-by-step explanation:

45

By answering the above question, we may infer that Thus, the 159 feet that make up the perimeter of the area used for the new playground.

A limit is a closed path that encircles, separates, or encompasses a one-dimensional length, a two-dimensional shape. A circle's or an ellipse's perimeter refers to its outermost region. Many practical uses may be made of the perimeter calculation. The radius of an edge is used to calculate a shape's perimeter. Get the circle's radius by multiplying the lengths of the sides of irregular shapes. Every form's perimeter may be determined by multiplying its side lengths. The area around an object is called its perimeter. Your home's walled garden serves as a wonderful example of this. A thing's perimeter is the area surrounding it. A 200 foot barrier will be needed to contain a 50 by 50 foot yard.

Current playground size is 1,575 square feet, or 35 feet by 45 feet.

The difference between the old and new playgrounds is 1,575 square feet.

New playground length = 1,575 square feet / 42 feet 37.5 feet, where new playground width equals new playground area.

We can calculate the perimeter now that we know the new playground's width is around 37.5 feet:

The new playground's perimeter is equal to 2 (length + width).

The new playground's perimeter is 2 (42 feet plus 37.5 feet).

2 is the new playground's perimeter (79.5 feet)

The new playground's perimeter is 159 feet.

Thus, the 159 feet that make up the perimeter of the area used for the new playground.

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The insect measurement that was the most frequent is given as follows:

1 and 1/4 inches.

A dot plot is a simple graphical display that uses dots to represent data values. It is also sometimes called a dot chart or a scatterplot. In a dot plot, each data point is represented by a dot along a number line or axis, where the position of the dot corresponds to the value of the data point.

Hence, a dot plot shows the number of times that each observation appeared in the data-set.

The observation with the most dots is the observation 2/8 of the way between 1 and 2, hence the most frequent observation is given by the following mixed number:

1 and 2/8 = 1 and 1/4 inches.

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la surface de l'écharpe est de 1 1 56 cm² car la formule pour calculer l'air d'un carré est A= coté * coté soit coté²

donc :  Aécharpe=34²=1156

So the y-intercept is 4 the equation of the line in slope-intercept form is:

y = 2x + 4

When the line to be examined's slope is known, and the provided point also serves as the y intercept, the slope intercept formula, y = mx + b, is utilised (0, b).

y = mx + b

m = (y2 - y1) / (x2 - x1)

Using the points (-4, -4) and (1, 6), we can find the slope of the line passing through them:

m = (6 - (-4)) / (1 - (-4)) = 10 / 5 = 2

So the slope of the line is 2.  Let's use the point (1, 6):

y = mx + b

6 = 2(1) + b (substitute m = 2, x = 1)

6 = 2 + b

b = 6 - 2 = 4

So the y-intercept is 4 the equation of the line in slope-intercept form is:

y = 2x + 4

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Answer: No

Step-by-step explanation:

So you have to substitute the x and y with the numbers in the ordered pair.

y becomes 28.

x becomes 4.

So the equation 7 = y - 5x becomes 7 = 28 - 5(4).

Then, you solve.

7 = 28 - 5(4)

7 = 28 - 20

7 = 8

7 ≠ 8

So, the ordered pair is NOT a solution of the equation.

Hope this helps!!!

The two solutions to the linear equation is given by the ordered pairs (0, 6) and (-4, 5).

In order to to graph the solution to the given linear equation on a coordinate plane, we would use an online graphing calculator to plot the given system of equations and then take note of the point that lie on it;

y = 0.25x + 6.00

Next, we would use an online graphing calculator to plot the given system of equations as shown in the graph attached below.

Based on the graph (see attachment), we can logically deduce that a possible solution for the linear equation is the ordered pairs (-4, 5) and (0, 6).

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Answer:-(-1,026/3

Step-by-step explanation:

The expected number of not blue is 54

From the question, we have the following parameters that can be used in our computation:

Spinner

Using the above as a guide, we have the following probability

P(Not Blue) = Not Blue/Total

So, we have

P(Not Blue) = 6/9

When it is spun 81 times, the expected number of times is

Times = 6/9 * 81

Evaluate

Times = 54

Hence. the number of times is 54

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a. The amplitude of the function y = 4 sin [(2π / 365)(x - 79)] + 12 is 4.

b. The period of the function y = 4 sin [(2π / 365)(x - 79)] + 12 is 365 days.

c. There are approximately 16 hours of daylight on the longest day of the year.

d. There are approximately 8 hours of daylight on the shortest day of the year.

e. The graph for the function is obtained.

What is a function?

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

The function is given as y = 4 sin [(2π / 365)(x - 79)] + 12.

a. The amplitude of the function is the coefficient of the sine function, which is 4.

Therefore, the amplitude of the function is 4.

b. The period of the function is given by the formula: period = (2π/b), where b is the coefficient of x in the sine function.

In this case, b = (2π/365), so the period is -

period = (2π / (2π/365)) = 365

Therefore, the period value is 365 days.

c. The longest day of the year occurs on the summer solstice, which is around June 21.

On this day, x = 171 (assuming January 1 is x = 1). Plugging x = 171 into the function gives -

y = 4 sin [(2π/365)(171 - 79)] + 12 = 15.998 hours

Therefore, the number of hours for daylight is 16 hours.

d. The shortest day of the year occurs on the winter solstice, which is around December 21.

On this day, x = 355. Plugging x = 355 into the function gives -

y = 4 sin [(2π/365)(355 - 79)] + 12 = 8.002 hours

Therefore, the number of hours for daylight is 8 hours.

e. To graph the function for one period, we need to find the values of y for x ranging from 1 to 365.

We can use a graphing tool or software to plot the function.

The graph is plotted.

The x-axis represents the number of days after January 1, and the y-axis represents the number of hours of daylight.

The function oscillates between 8 and 16 hours of daylight over the course of one year, with the maximum occurring around day 171 and the minimum occurring around day 355.

The graph shows that the function is periodic, with a period of 365 days, as expected.

Therefore, the function is plotted.

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The measure of side Q'N' after a dilation of quadrilateral NOPQ by a scale factor of 2/3 is 12 units

An equation is an expression that shows the relationship between two or more numbers and variables. Equations can either be linear, quadratic, cubic and so on depending on the degree.

Scale factor is the ratio of new side to original side. It is given as:

Scale factor = new side / original side

Given that the scale factor is 2/3 and the side QN is 18, hence:

QN * scale factor = Q'N'

Substituting:

18 * 2/3 = Q'N'

Q'N' = 12

The measure of side Q'N' is 12 units

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Answer:

8.3 units

Step-by-step explanation:

To find the distance between the two points, use the distance formula.

Distance = [tex]\sqrt{(x-x)^2+(y-y)^2}[/tex]

(x, y)

(-1.5, 4)

(-5, -3.5)

[tex]\sqrt{(x-x)^2+(y-y)^2}[/tex] - Formula

[tex]\sqrt{(-1.5--5)^2+(4--3.5)^2}[/tex] - Plug in values

[tex]\sqrt{(3.5)^2+(7.5)^2}[/tex] - Simplify parenthesis

[tex]\sqrt{12.25+56.25}[/tex] - Simplify

[tex]\sqrt{68.5}[/tex] = 8.27647267862 = 8.3

Answer:

Step-by-step explanation:

95 hours

The graph of the function P(x) = x^4 - x^3 - 11x^2 + 9x + 18 rises on both ends and intersects the x-axis at x = -2, x = -1, and x = 3. The graph intersects the y-axis at the point (0, 18). The company will break even at the points where P(x) = 0, which are x = -2, x = -1, and x = 3.

The function P(x) = x^4 - x^3 - 11x^2 + 9x + 18 is a polynomial function of degree 4.

To sketch the graph of this function without using technology, we can start by analyzing the end behaviors of the function. As x approaches negative infinity, the leading term of the function, x^4, dominates and the function approaches positive infinity. As x approaches positive infinity, the leading term also dominates and the function again approaches positive infinity. This means that the graph will have a shape that rises on both ends.

Next, we can find the x-intercepts of the function, which are the values of x where P(x) = 0. We can use synthetic division or factorization to find that the function has three real roots: x = -2, x = -1, and x = 3. These values represent the points where the graph intersects the x-axis.

Finally, we can find the y-intercept of the function, which is the value of P(0). We can plug in x = 0 into the function to find that P(0) = 18. This means that the graph intersects the y-axis at the point (0, 18).

Putting all of this information together, we can sketch a rough graph of the function. The graph rises on both ends and intersects the x-axis at x = -2, x = -1, and x = 3. The graph intersects the y-axis at the point (0, 18). The function is positive between x = -2 and x = -1, and between x = 3 and positive infinity. The function is negative between x = -1 and x = 3.

To summarize, the graph of the function P(x) = x^4 - x^3 - 11x^2 + 9x + 18 rises on both ends and intersects the x-axis at x = -2, x = -1, and x = 3. The graph intersects the y-axis at the point (0, 18). The company will break even at the points where P(x) = 0, which are x = -2, x = -1, and x = 3.

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Answer:

105 or 40500

Step-by-step explanation:

you have too add or mutilple

Answer:hunger

Step-by-step explanation:

i hungry

The domain of the function shown on the graph is {-3, -2, 2, 3 }.

The domain of a function is the set of all possible input values (also known as the independent variable or x-values ) for which the function produces a valid output (also known as the dependent variable or y-values).

In other words, it is the set of values that can be plugged into the function to produce a meaningful result.

In this case, there are four (4) points on the graph.

The coordinates of the points are;

Since the domain are the set of the x-values, the domain of the function of the graph will be;

Domain : {-3, -2, 2, 3 }

Therefore, option B) {-3, -2, 2, 3 } is the correct answer.

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The set using Roster method is, D = {76, 90, 92, 94, 96}

The roster technique is defined as a method for displaying the elements of a set by listing the elements within brackets.

A roster method example is to write the set of numbers from 1 to 10 as

{1, 2, 3, 4, 5, 6, 7, 8, 9, and 10}.

Given:

Set D is the set of positive two-digit even numbers greater than 74

that do not contain the digit 8

First, Even numbers greater than 74 are

76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98.

Now, Even Number doe not contain 8 are 76, 90, 92, 94, 96.

Using Roster method the set is

D= {76, 90, 92, 94, 96}

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Answer: 5

Step-by-step explanation:

Use the Formula d = √((x2 - x1)2 + (y2 - y1)2)

Find the difference between coordinates:

(x2 - x1) = (-3 - 0) = -3

(y2 - y1) = (-2 - 2) = -4

Square the results and sum them up:

(-3)2 + (-4)2 = 9 + 16 = 25

Now Find the square root and that's your result:

Exact solution: √25 = 5

Approximate solution: 5

Given - The expression as

[tex]\frac{3.07+2^4}{5.03-1.79}[/tex]

To find - the solution of the expression

Explanation To simplify the expression, we will simply the terms in the expression

[tex]\frac{3.07+2^4}{5.03-1.79} =\frac{3.07+16}{3.24} =5.885[/tex]

Hence the value of the expression is 5.885

Final answer- The value is 5.885

Answer:

6

Step-by-step explanation:

radius is 1/2 the diamiter

Answer:

Step-by-step explanation:

Answer: 6 inches.

Explanation:

Since the radius is 3 inches, the diameter will be twice the size of the radius. The radius is half the width of a circular object. The diameter is the full width. Therefore Omar's lollipop has a diameter of 6 inches.

The equation deduced by Malik is the correct equation.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

For example, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

Given that, the Boy Scout troop raised money in a fundraiser. they donated $400 to the food bank and half of the remaining amount to the animal shelter, they both represented the amount donated for the animal shelter :-

Malik: y = (x-400) / 2

Jacob: y = x/2 - 400

So, if we consider y as the money donated for the animal shelter and x is the total-raised money,

Therefore, according to the question,

$400 donated to food bank, then the left amount = x-400

Half of the money donated to the animal shelter based = (x-400) / 2

Therefore, the equation will be:-

y = (x-400) / 2

Hence, the equation deduced by Malik is the correct equation.

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The true statement is the median age of the attendees in the yoga class is greater than the median age of the attendees in the dance class. (option A).

Median is the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order.

Ages of Yoga students arranged in ascending order: 18, 17, 20, 31, 33, 36, 44

Median = 31

Ages of Dance students arranged in ascending order: 20, 23, 26, 30, 38, 42, 47

Median = 30

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The requried, Liam is 24 blocks away from his house.

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Here,
A graph is shown, Liam left his house and drove to the store. He stopped and went inside. From there, he drove in the same direction until he got to the bank. He stopped and went inside the bank. Then he drove home. The graph below shows the number of blocks away from home Liam is x minutes after he left his house until he got back home.

In order to calculate Liam's distance after x = 15 minutes. Draw a perpendicular at x = 15 that intersects the curve. Since the line intersects the curve at y = 24. This implies that Liam is 24 blocks away from his house.

Thus, the requried Liam is 24 blocks away form his house.

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