Can you please solve? Thanks

We can write the expression for {P} as -

P = a + b + 4ab - 2y

In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size

Given are the expressions as -

P = a + b + 2c

y = 2ab - C

We can write -

C = 2ab - y

Putting the values in the equation -

P = a + b + 2c

P = a + b + 2(2ab - y)

P = a + b + 4ab - 2y

Therefore, we can write the expression for {P} as -

P = a + b + 4ab - 2y

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Because of the common difference of 5, this series is math because it has a common difference of 5.

An arithmetic series is one in which each term grows by adding or removing a certain number, k. In a geometric series, each term grows by dividing by or increasing by a certain constant k. For instance, a1 = 25 and a(n) Equals a(n-1) Plus 5.

This is a list of numbers.

Each term in an arithmetic series is created by adding a fixed difference to the term before it. The distance between successive words in this order is 5:

10 - 5 = 5

15 - 10 = 5

20 - 15 = 5

25 - 20 = 5

Therefore, this sequence has a common difference of 5, which means it is an arithmetic sequence.

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Answer: Without a perpendicular cut, we cannot determine the height of the triangle directly. However, we can use the Pythagorean Theorem to find it indirectly.

Let's assume that Francine has cut the paper into a right triangle ABC, where AB and BC are the legs of the triangle, and AC is the hypotenuse. Let x be the length of AB and y be the length of BC. We can then use the Pythagorean Theorem to find the length of AC:

AC^2 = AB^2 + BC^2

We don't know the exact values of AB and BC, but we do know that the area of the triangle is given by:

Area = (1/2) * AB * BC

We can use this formula to find the area in terms of x and y:

Area = (1/2) * x * y

Now we need to eliminate one of the variables (either x or y) so that we can express the area in terms of the other variable and AC. We can do this by rearranging the Pythagorean Theorem to solve for one of the variables:

x^2 = AC^2 - y^2

y^2 = AC^2 - x^2

Let's solve for y:

y^2 = AC^2 - x^2

y = sqrt(AC^2 - x^2)

Now we can substitute this expression for y into the formula for the area:

Area = (1/2) * x * sqrt(AC^2 - x^2)

To find the maximum possible area, we need to maximize this expression. We can do this using calculus, by taking the derivative of the expression with respect to x, setting it equal to zero, and solving for x. However, since we only need an approximate answer to the nearest tenth of a square centimeter, we can use trial and error to find the value of x that gives the maximum area. We can start by trying different values of x, and using a calculator to evaluate the expression and find the corresponding area.

Let's try a few values of x:

If x = 0, then the area is 0.

If x = AC/2 (i.e., if the triangle is isosceles), then the area is (1/8) * AC^2 * sqrt(3), which is approximately 0.433 * AC^2.

If x = AC/sqrt(3) (i.e., if the triangle is equilateral), then the area is (1/4) * AC^2 * sqrt(3), which is approximately 0.433 * AC^2.

Since the area is maximized when the triangle is equilateral, we can assume that the piece of paper is an equilateral triangle, and use the formula for the area of an equilateral triangle:

Area = (sqrt(3)/4) * side^2

where side is the length of one of the sides of the triangle. To find the side length, we need to know the length of AC. We don't know the exact value of AC, but we can estimate it by measuring the length of the longest side of the piece of paper (assuming that it is the hypotenuse of the triangle). Let's say that the longest side is 30 cm. Then, by the Pythagorean Theorem, we can find the length of the other two sides:

x^2 + y^2 = 30^2

x^2 + (sqrt(AC^2 - x^2))^2 = 30^2

2x^2 + AC^2 - x^2 = 900

x^2 = (900 - AC^2)/

Step-by-step explanation:

Answer:

181

Step-by-step explanation:

Answer:

181

Step-by-step explanation:

Just Cause.

Answer:40

140/7=20

20x2=40

40 is the same as two-sevenths of 140

The dimensions of the poster are approximately 10.64 inches by 1.15 inches.

What are dimensions of an objects?

Dimension is the length or width of an area, region, or space in one direction. It is just the measurement of an object's length, breadth, and height.

According to the problem, the length of the poster is 8 more inches than two times the width, which can be expressed as:

length = 2x + 8

The area of the poster is given as 42 square inches, so we can set up the equation:

area = length * width

Substituting the expressions for length and width, we get:

42 = (2x + 8) * x

Expanding the right side, we get:

[tex]42 = 2x^2 + 8x[/tex]

Moving all terms to one side, we get:

[tex]2x^2 + 8x - 42 = 0[/tex]

Dividing both sides by 2, we get:

[tex]x^2 + 4x - 21 = 0[/tex]

We can solve for x using the quadratic formula:

x = (-4 ± √(4² - 41(-21))) / (2*1)

x = (-4 ± √88) / 2

x = (-4 ± 2√22) / 2

x = -2 ± √22

Since the width of the poster cannot be negative, we take the positive solution:

x = -2 + √22

Using this value, we can find the length of the poster:

length = 2x + 8 = 2(-2 + √22) + 8 = 2√22 + 4

Therefore, the length of the poster is approximately 10.64 inches (rounded to two decimal places).

Thus, the dimensions of the poster are approximately 10.64 inches by 1.15 inches.

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Answer:

Shirt = $20
Sweater = 30

Step-by-step explanation:

3sh + 2sw = 120

2sh + 4sw = 160

Multiply (3sh + 2sw = 120) by -2
-6sh + -4sw = -240  -> -6sh -4sw = -240
Add the two equations -6sh -4sw = -240 and 2sh + 4sw = 160 together. -4sh = -80
Shirt = 20
Substitude in 20
3 x 20 = 60 120 - 60 = 60 60/2=30

The two lines are intercept of each other and can intersect each other and are perpendicular to each other.

With examples, what is line intercept sampling?

To calculate the cover of specified classes in the landscape, such as forests or different types of forests, line intercept sampling is utilized.

                                        Over the region of interest, line samples are randomly placed, and it is then examined what percentage of each sample line falls into the target area class.

The points at which a line crosses an axis are known as the xxx-intercept and the yyy-intercept, respectively.

Thus, the two lines are intercept of each other and can intersect each other and are perpendicular to each other.  

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Answer:

-1/2

Step-by-step explanation:

We know

The dilation of K(-2,4) equals K'(1,-2)

To get from -2 to 1, we time -1/2

To get from 4 to -2, we time -1/2

So, the scale factor used for the dilation is -1/2

The differential of the function, f(x)=x^5 -8x is

df(x) = (5x^4 - 8) dx. That is dy = (5x^4 - 8) dx

From the question, we are to determine the differential of the given function

To find the differential of the function f(x), we use the formula:

df(x) = f'(x) dx

where f'(x) is the derivative of f(x) with respect to x, and dx is an infinitesimal change in x.

First, we need to find the derivative of f(x):

f'(x) = 5x^4 - 8

Now we can substitute this into the differential formula:

df(x) = (5x^4 - 8) dx

Hence, the differential of the function is

df(x) = (5x^4 - 8) dx

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The eighth term of 4000, 800, 160, 32... will be 0.0512.

What is geometric progression?

A geometric progression is also known as the geometric sequence which is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

We are given, 4000, 800, 160, 32, ....

a is the first term = 4000

The terms are in reducing order of 1/5 at each stage.

So, 5th term = 32/5 = 6.4

6th term =   6.4/5 = 1.28

7th term =  1.28/5 = 0.256

And 8th term = 0.256/5 = 0.0512

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The amount of interest he has earned is $438

Compound interest is the interest you earn on interest. This can be illustrated by using basic math: if you have $100 and it earns 5% interest each year, you'll have $105 at the end of the first year. At the end of the second year, you'll have $110.25.

A = P ( 1+r/100) ^t

A is the amount after year t

P is the principal and r is the rate

800 = P( 1+ 12/100)⁷

800 = P( 1+ 0.12)⁷

800 = P ( 1.12)⁷

800 = P( 2.21)

P = 800/2.21

P = $362

A = P+ 1

I = A-P

I =800 - 362

I = $438

therefore the interest he earned is $438

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The total surface area of the prism is equal to 74 m².

In Mathematics, the total surface area of a triangular prism can be calculated by using this mathematical expression:

Total surface area of triangular prism = (Perimeter of the base × Length of the prism) + (2 × Base area)

Total surface area of triangular prism = (S₁ + S₂ + S₃)L + bh

where:

By substituting the given parameters, we have:

Total surface area of triangular prism = 4 + (5 × 4)3.5

Total surface area of triangular prism = 4 + (20)3.5

Total surface area of triangular prism = 74 m².

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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 blanks when completes are:

The value of 6x - x² increases from 0 at x = 0 to 9 at x = 3, then decrease back at x = 6. Also, the values are 0 for x = 0...

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

The table of values

From the table of values, we can see that

This means that the values that complete the blanks are increase, decrease and 0

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Answer:

1. 12

2. 6

3. 4.5

4. 7

Don't quite under #5

Explanation:

Sample mean = ΣX / n

1. 108 / 9 = 12

2. 72 / 12 = 6

3. 2 + 7 + 9 + 4 + 5 + 3 + 0 + 6 = 36 / 8 = 4.5

4. 8 + 2 + 5 + 7 + 12 + 9 + 11 + 3 + 6 = 63 / 9 = 7

Answer: Unfortunately, the given information is not sufficient to answer the questions 1.1.1, 1.1.2, 1.1.3, and 1.1.4. However, I can provide some insights based on the given information.

1.1.1: B₁ is not defined in the given information. Without knowing what B₁ represents, we cannot determine its size.

1.1.2: We know that AB is parallel to QD, and CD = CB. Also, angle Ĉ = 110°. However, we don't know the location of point P, so we cannot determine the size of angle ABC.

1.1.3: We know that angle D₃ = 70°, but we don't know the location of point P, so we cannot determine the size of angle D₂.

1.1.4: We know that angle ₂ = 100°, but we don't know the location of point P, so we cannot determine the size of angle A₂.

Step-by-step explanation:

The two numbers that multiply to 375 and add to -10 are -25 and 15.

To find two numbers that multiply to 375 but add to -10, we can use a system of equations.

Let's call the two numbers we're looking for x and y. Then we have:

xy = 375 (since they multiply to 375)

x + y = -10 (since they add to -10)

We can use the second equation to solve for one variable in terms of the other. For example, if we solve for y, we get:

y = -x - 10

Now we can substitute this expression for y into the first equation:

x(-x - 10) = 375

Expanding the left side gives:

-x^2 - 10x = 375

Bringing everything to one side gives:

x^2 + 10x - 375 = 0

We can factor this quadratic equation as:

(x + 25)(x - 15) = 0

This gives us two possible values for x: x = -25 or x = 15.

If x = -25, then y = -10 - (-25) = 15.

If x = 15, then y = -10 - 15 = -25.

So, The two numbers that multiply to 375 and add to -10 are -25 and 15.

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Answer:60 cents per taco

Step-by-step explanation:

120/2=60

180/3=60

300/5=60

480/8=60

The equation of a rational function that has been translated left 2 units and shifted up 1 unit is; f(x) = (a(x - 2) + b + 1) / (c(x - 2) + d)

A relation is defined as a function in the event that it possesses only One y-value with a corresponding x-value.

A general form of how a rational function is represented is:

f(x) = (ax + b) / (cx + d)

To translate this function left 2 units, we need to replace x with x + 2. This gives us:

f(x + 2) = (a(x + 2) + b) / (c(x + 2) + d)

To shift this function up 1 unit, we need to add 1 to the numerator. This gives us:

f(x + 2) = (a(x + 2) + b + 1) / (c(x + 2) + d)

Therefore, the equation of a rational function that has been translated left 2 units and shifted up 1 unit is: f(x) = (a(x - 2) + b + 1) / (c(x - 2) + d)

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Answer: 24

Step-by-step explanation: 6*4=24
i did 6*4 because there are 4 fourths in each pound

The day she will order both kinds of flowers on the same day is 12th day of the year.

LCM is the full form of least common multiple, it stands for the lowest common multiple. The least common multiple of two numbers can be mentioned as the smallest number that is a multiple of both of them.

here, we have,

Given:

Sunflower order = every 6 days

Daisies order = every 4 days

Find the lowest common multiple of 6 days and 4 days

6 days = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60

4 days = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60

The lowest common multiple of 6 days and 4 days is 12 days

Therefore, the day she will order both kinds of flowers on the same day is 12th day of the year.

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Answer:

96 because 60 plus 36 equals 96 and value means add but if your multiplying the answer would be 2160

Step-by-step explanation:

The variable y is directly proportional to x, which is the definition of direct variation.

The intersection of two perpendicular lines, the x-axis and the y-axis, results in a 2D plane known as a coordinate plane. In geometry, a coordinate system is a method for calculating the positions of the points using one or more integers or coordinates.

The graph that represents a function with direct variation is a coordinate plane with a line passing through (0, 0) and some other point that is not the origin.

Out of the given options, the graph that represents a function with direct variation is the coordinate plane with a line passing through (negative 4, 0) and (0, negative 2).

This is because the equation of this line can be written in the form y = mx, where m is the slope of the line. In this case, the slope is:

m = (0 - (-2)) / (-4 - 0) = 1/2

So the equation of the line is y = (1/2)x - 2, which is in the form of y = kx, where k = 1/2. This means that y is directly proportional to x, which is the definition of direct variation.

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d ≥ 4, The family must travel at least four days.

Inequalities are mathematical formulas in which neither side is equal. Unlike equations, we compare two values in inequality. In between, the equal sign is replaced by less than (or less than or equal to), more than (or greater than or equal to), or not.

Given:

The family drives 350 miles per day.

they need to travel at least 1400 miles

let the number of day taken to travel 1400 miles.

So, the Inequality of the Situation as

350d ≥ 1400

d≥ 1400/350

d≥ 140/ 35

d ≥ 4

So, the family must travel at least four days.

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Therefore, the probability that X is between 5.5 and 7.5 is approximately 0.0808.

If a company creates apparel and sells it to people directly through an online site, it may be using direct distribution.

To solve this problem, we need to standardize the distribution of X to a standard normal distribution. This is done using the following formula:

Z = (X - μ) / σ

where Z is the standard normal variable, X is the normally distributed variable, μ is the mean of X, and σ is the standard deviation of X.

Using the given values, we have:

Z1 = (5.5 - 2.6) / 2.2 = 1.318

Z2 = (7.5 - 2.6) / 2.2 = 2.682

We can then find the probability using the standard normal distribution table or a calculator with a built-in normal distribution function.

Using the table or calculator, the probability is:

P(5.5 ≤ X ≤ 7.5) = P(1.318 ≤ Z ≤ 2.682) = 0.0808 (rounded to four decimal places)

Therefore, the probability that X is between 5.5 and 7.5 is approximately 0.0808.

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The inequality for this graph is given as follows:

y < 2.

The four inequality symbols, along with their meaning, are presented as follows:

For the graph in this problem, the inequality is composed by the values that are below y = 2, with an open interval as the line is dashed and not solid, hence it is defined as follows:

y < 2.

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