what is the unit rate for 7 penguins for 188.88$

Answer:

22 points

Step-by-step explanation:

If their are fourty points avaliable and each question is worth two points, then there are a total of twenty questions (20 times 2 is 40). Therefore, if he gets nine questions wrong, he would have gotten 11 right. Because we know that each question is two points, we may just multiply 11 by 2, which means he has gotten a score of 22 points!

Answer:

61 seats.

Step-by-step explanation:

This is an example of an arithmetic sequence.

The formula for this is an = a + (n - 1)d

Where an is the number of seats in the 19th row, a is the number of seats in the first row, n is the 19th row, and d is the common difference.

We can calculate the common difference by finding how many extra seats there are from the first row to the second. 27 - 25 = 2. So, with each additional row, there are two more seats.

a19 = 25 + (19 - 1) * 2

a19 = 25 + 18 * 2

a19 = 25 + 36

a19 = 61

So, there are 61 seats in the 19th row.

Hope this helps!

Answer:

i think 61 i hope im right

Step-by-step explanation:

Answer:

-2<b<a+c

Step-by-step explanation:

Hope it helps

Answer:

36cm^2

Step-by-step explanation:

you multiply base times height or length times width to get area

Answer:

26

Step-by-step explanation:

(3x26)=78+20=98

(5x26)=130-32=98

Answer:

Step-by-step explanation:

Thank you ☺️

There are a few online calculators available that allow you to find the side length of a triangle using trigonometric ratios.

One example is The Calculator Site, which provides step-by-step instructions on how to use the calculator. By providing the known values of two angles and one side, the calculator can determine the length of the remaining side.

The Calculator Site provides a calculator which can be used to find the side length of a triangle using trigonometric ratios. The calculator requires the user to provide the known values of two angles and one side, after which it will calculate the length of the remaining side.

There are a few online calculators available that allow you to find the side length of a triangle using trigonometric ratios.

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The independent set in a graph is a set of vertices that contain no edges. So, no neighboring vertices are included. The max independent set problem is to get an independent set of maximum size in graph G.

The solution for this question is discussed below:

a) The integer linear program for the max independent set problem is as follows:

maximize ∑x_i Subject to: x_i+x_j ≤ 1 {i,j} ∈ E;x_i ∈ {0, 1} ∀i. The variable x_i can represent whether the ith vertex is in the independent set. It can take on two values, either 0 or 1.

b) The LP relaxation for the max independent set problem is as follows:

Maximize ∑x_iSubject to:

xi+xj ≤ 1 ∀ {i, j} ∈ E;xi ≥ 0 ∀i. The variable xi can take on fractional values in the LP relaxation.

c) The family of graphs is as follows:

Consider a family of graphs G = (V, E) defined as follows. The vertex set V has n = 2^k vertices, where k is a positive integer. The set of edges E is defined as {uv:u, v ∈ {0, 1}^k and u≠v and u, v differ in precisely one coordinate}. It can be shown that the size of the max independent set is n/2. Using LP, the value can be determined. LP provides a value of approximately n/4. Therefore, the ratio LP-OPT/OPT is at least c/4. Therefore, the ratio is in for a constant c>0.

d) The size of a max-independent set is equivalent to the number of vertices minus the minimum vertex cover size.

e) The 2-approximation algorithm for vertex cover implies a 2-approximation algorithm for the max independent set.

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The equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is y = (5/2) * x^2y + 1. This equation represents a curve where the y-coordinate is a function of the x-coordinate, satisfying the conditions.

To determine an equation of the curve that satisfies the conditions, we can integrate the slope function with respect to x to obtain the equation of the curve. Let's proceed with the calculations:

We have:

Point: (0, 1)

Slope: 5xy

We can start by integrating the slope function to find the equation of the curve:

∫(dy/dx) dx = ∫(5xy) dx

Integrating both sides:

∫dy = ∫(5xy) dx

Integrating with respect to y on the left side gives us:

y = ∫(5xy) dx

To solve this integral, we treat y as a constant and integrate with respect to x:

y = 5∫(xy) dx

Using the power rule of integration, where the integral of x^n dx is (1/(n+1)) * x^(n+1), we integrate x with respect to x and get:

y = 5 * (1/2) * x^2y + C

Applying the initial condition (0, 1), we substitute x = 0 and y = 1 into the equation to find the value of the constant C:

1 = 5 * (1/2) * (0)^2 * 1 + C

1 = C

Therefore, the equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is:

y = 5 * (1/2) * x^2y + 1

Simplifying further, we have:

y = (5/2) * x^2y + 1

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No, The rhombus is not similar to a rectangle because a rectangle is a parallelogram with all its inside angles being .

Given that,

We have to find if a rhombus similar to a rectangle.

We know that,

With all of its interior angles being parallel, a rectangle is a parallelogram.

A rectangle must have equal sides in order to qualify as a rhombus, which is a parallelogram with all of its sides being equal. If this criterion is met, it turns into a square.

In a rhombus, the opposing angles are equal. Two of the angles are acute, and the other two are obtuse.

An equal number of sides make up a rhombus. Although the diagonals are not equal, they do connect.

Therefore, No, The rhombus is not similar to a rectangle because a rectangle is a parallelogram with all its inside angles being .

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The statement is true.

To prove this, we will use a proof by contradiction.

Assume that all of the sets {ai lie i} are finite. Then, for each set ai, there exists a finite number of elements in that set. Therefore, the union of all of these sets will also be finite.

However, we are given that the union of all the sets is countably infinite. This means that there exists a countable list of elements in the union.

Let's construct this list:
- First, list all of the elements in a1.
- Then, list all of the elements in a2 that are not already in the list.
- Continue this process for all of the remaining sets.

Since the union is countably infinite, this process will never terminate and we will always have elements to add to our list.

But this contradicts the fact that each set is finite. If each set has a finite number of elements, then there can only be a finite number of unique elements in the union.

Therefore, our assumption that all of the sets are finite must be false. At least one of the sets must be countably infinite.

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When two players A and B alternately flip a fair coin, the probability  E(T) is 4. (A tosses the coin first, then B tosses the coin, then A, then B and so on).

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty.

Two players, A and B, turn a fair coin in succession (A tosses the coin first, then B tosses the coin, then A, then B and so on). The order of the heads and tails is noted. If there is a head followed by a tail, the game is done, and the person who throws the tail wins (HT sub-sequence).

We must ascertain the game's estimated duration. Allow T coin tosses for the game to proceed. Find E (T).

\(E(T) = first instance of HT in seriesE(T) =0.5×(1+2)+0.5×(1+E(T))\\0.5×E(T)=0.5×4\\E(T) =4\)

As a result, when two players A and B alternately flip a fair coin, The E(T) is 4. (A tosses the coin first, then B tosses the coin, then A, then B and so on).

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Answer:

The answer is A. 12%

Step-by-step explanation:

Answer:

Step-by-step explanation:

suface area of base=1/2×9×7.8=9×3.9=35.1 yd²

lateral surface area=3×1/2×9×10=135 yd²

total surface area=135+35.1=170.1 yd²

i assumed it is an equilateral triangular base.

as √(7.8²+4.5²)=9.0049≈9

The sum of interior angles of the given polygon is 900 degrees

The formula used to calculate the sum of an interior angle of a polygon is expressed as:

Sum of interior angles = ( n − 2 ) × 180 ∘

n is the number of sides

The number of sides of the given polygon is 7, hence;

Sum of interior angles = (7 − 2 ) × 180 ∘

Sum of interior angles = 5 ×  180 ∘

Sum of interior angles = 900 degrees

Hence the sum of interior angles of the given polygon is 900 degrees

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Answer:

C. 2 \(\frac{4}{5}\) cups

Step-by-step explanation:

We want 3.5 (3 1/2) cups of sugar that serves 60 people to serve 48 people instead. So we use proportions. Set it up:

\(\frac{x}{3.5} = \frac{48}{60}\)

60x = 168 (48 x 3.5)

/60     /60

x = 2.8 cups of sugar serves 48 people.

Change 2.8 into fractions: 2 \(\frac{4}{5}\)

Answer:go o trey acc and you goin see the tea about trey really being elijah (Asia)

Step-by-step explanation:

Answer:

she should eat half a serving.

Step-by-step explanation:

This is because one serving is 350 calories. We know this since 1,750 divided by 5 is 350. Half of 350 is 175. So half of one serving is 175 calories.

Answer:

An equivalent algebraic expression of -(b-5) using distributive property is

-b+5

Step-by-step explanation:

We need to use distributive property to solve the expression -(b-5)

The distributive property states that \(a(b+c)=ab+ac\)

Using distributive property to solve the expression -(b-5)

\(-(b-5)=-(b)-1(-5)\\=-b+5\)

So, an equivalent algebraic expression of -(b-5) using distributive property is

-b+5

Answer:

Step-by-step explanation:

4xy=4*(-2)*(-6)

4xy=48

The total number of Style B shades that can be loaded into the container is 3,840 Style B shades in total.

A 40-foot container can hold 3,840 Style B shades.

A 40-foot container typically has a volume of 67.7 cubic meters (2,390 cubic feet), but without knowing the size and packing configuration of the shades, it's impossible to determine how many of each type can fit into the container.
Once you provide the dimensions and packing requirements for Style A and Style B shades, I can help you calculate how many of each type can be loaded into a 40-foot container.

Assuming that each carton of Style B shades has the same dimensions and that there is no wasted space within the container, we can calculate the number of cartons that can be loaded into a 40-foot container as follows:

First, we need to determine the total number of cartons that can fit in the container:

8 cartons in width x 40 cartons in length x 2 cartons in height = 640 cartons in total

Next, we need to determine the number of Style B shades in each carton:

6 shades x carton

Therefore, the total number of Style B shades that can be loaded into the container is:

640 cartons x 6 shades per carton = 3,840 Style B shades in total.

So a 40-foot container can hold 3,840 Style B shades.

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Question: How many Style B shades can be loaded into a 40-foot container? There are 6 shades x carton which could be shipped nested, with the squared foot on the bottom. According to the container dimensions, it's possible to put 8 cartons in width, 40 cartons in length and 2 cartons in height.

The trend model that allows for one change in the direction of a series is:  A. linear trend model.

Here, we have,

The linear trend model is a commonly used technique in time series analysis, particularly when the data is expected to exhibit a consistent rate of growth or change over time.

First, Collect and organize your data, Before you can apply the linear trend model, you need to have a clear understanding of the data you're working with.

Then Plot your data on a graph, Once you have your data organized, the next step is to plot it on a graph. This will help you visualize any trends or patterns that may be present in the data.

Next, Calculate the slope of the line, To determine the rate of change in your data, you'll need to calculate the slope of the line. This is done using a formula called the least squares regression line.

And then determine the intercept of the line, by using the intercept of the line represents the starting point for the data. In other words, it's the value of the data at the beginning of the time series.

Finally, use the linear trend model to make predictions, Once you've calculated the slope and intercept of the line, you can use the linear trend model to make predictions about future values of the data.

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Answer:

....................21 .....................

Answer:

2.7

Step-by-step explanation:

50(6x4)+50(6x5)

50x24+50x30

1200+1500=2700

2700÷1000=2.7

Answer:

he runs 300 meters every time he runs, so in the first week he runs 1200 meters this week he runs 1500 meters so all together he ran 2700 meters in two weeks

Step-by-step explanation:

Hope this helps! :)

The multiplication of the algebraic expressions gives x⁴ + 1.5x³ - 2x²

An algebraic expression is an expression that consists of variables, constants, and a finite number of algebraic operations (such as addition, subtraction, multiplication, and division) e.g. 2x + 25

In order to perform the multiplication, you use expression outside the parenthesis to multiply the expressions inside the parenthesis one after the other. That is:

-0.5x²(-2x² - 3x + 4) = -2x²(-0.5x²) - 3x(-0.5x²) + 4(-0.5x²)

= 1x⁴ + 1.5x³ - 2x²

= x⁴ + 1.5x³ - 2x²

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95% of the given number is 285 if 75% of that number is 225 and 20% of the same number is 60.

In mathematics, a percentage is defined as a number or ratio that can be expressed as a fraction of 100.

Let assume the number is x

So, according to first statement, we are given that 75 percentage of x=225,it means

=>(75/100) × x=225

=>(3/4) × x=225

=>x=(225 × 4) /3

=>x = (75 × 4)

=>x = 300

Now, check for same number whether 20% is 60 or not

=>20% of x=60

=>(20/100) × x=60

=>(1/5) × x =60

=>x= 60 × 5

=>x = 300

So, our assumption is correct.

Now,95% of the same number is 95% of x

=(95/100) ×300

=95 × 3

=285

Hence,95% of 300 is 285.

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Answer:

The first system goes with the last graph.

The second system goes with the first graph.

The last system goes with the second graph.

Step-by-step explanation:

In the first system, both equations are equal if you put both of the equations in simplified slope-intercept form. When the equations are exactly equal to each other, the lines are the same. And only in the last graph, the line are the exact same line.

In the second system, you can tell even without putting the equations in slope-intercept form that the only difference between the lines are the y-intercepts. When lines have the same slope but different y-intercepts, the lines are parallel, which is shown in graph 1.

For the last system, by elimination, the system matches with the second graph. In this system, you can tell that both the slopes and y-intercepts are different, which means that this equation would actually have one solution, as shown in graph 2.

Sorry it took a while, hope I was able to help. Good Luck!

Start by adding the whole part of the numbers

then add the fractions

since the fraction also gave a mixed number it can be added to the whole part we already had

The correct answer option is the fourth one.

Answer:

A,C, and E

Step-by-step explanation:

a. 8x - 6x - 3 - 2

=2x-1 YES

b. 9 -7x + 3x -8

=9-8-7x+3x NO

c. x + x - 1

2x-1 YES

d. 3x + 2 -x - 2

=3x-x+2-2

2x+0 NO

e. -5 + 10x - 8x + 4

=10x-8x-5+4

=2x-1 YES

Hope it helps!