Liam bought 2 vintage movie posters, 2 rock posters, and 1 rap poster. He applied a 35$ gift card to the total purchase and a 1/2 off coupon to the rap posters. write and evaluate a numerical expression to show how much Liam paid for the posters.

Answer:

13 dollars and 12 cents

Step-by-step explanation:

I added all of the ingredient prices in parenthesis then multiplies it by 4. :)

The given facts about power sets: Statement 1: False, Statement 2: True, Statement 3: True.

Statement 1: The power set of X is a subset of X. False. The power set of X, denoted by P(X), is a set containing all subsets of X. However, X is not a subset of P(X).

Statement 2: The cardinality of P(X) is greater than the cardinality of X. True. Since the power set of X contains all subsets of X, it has a higher cardinality than X. This can be proven with the equation |P(X)| = 2^|X|.

Statement 3: The cardinality of the power set of the empty set is 1. True. The empty set, denoted by Ø, has no elements, and therefore the power set of the empty set, P(Ø), has one element, which is the empty set itself. Therefore, |P(Ø)| = 1.

In conclusion, each statement is either true or false depending on the given information.

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The price of an item that is normally £120 after a 20% discount is £96.

To find the price of an item that is normally £120 after a 20% discount,

Calculate the discount amount: To find the discount amount, multiply the original price (£120) by the discount rate ( 20% ) in decimal form:

Discount amount = Original price x Discount rate

= £120 x 0.2

= £24

Calculate the sale price: To find the sale price, subtract the discount amount from the original price:

Sale price = Original price - Discount amount

= £120 - £24

= £96

Therefore, the sale price is £96

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The perimeter of the quarter circle with radius 1 yard is approximately 2.57 yards.

To find the perimeter of a quarter circle, we need to add up the lengths of its curved edge and its straight edge.

In this case, the curved edge is a quarter of a circle with radius 1 yard. The formula for the circumference of a circle is C = 2πr, where r is the radius of the circle. Since we only need a quarter of the circumference, we can divide the formula by 4:

C = (2πr)/4

Substituting r = 1, we get:

C = (2π(1))/4

C = π/2

Therefore, the curved edge of the quarter circle has a length of π/2 yards. The straight edge of the quarter circle is simply the radius, which is also 1 yard.

So the perimeter of the quarter circle is the sum of the curved edge and the straight edge:

Perimeter = (π/2) + 1

Using 3.14 for π and adding the two terms, we get:

Perimeter ≈ 2.57 yards

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Answer: x=9

Step-by-step explanation:

Simplify the expression

Add 777 to both sides

Simplify the expression

Divide both sides by the same factor

Simplify the expression

There are 17 one-dollar coins and 19 two-dollar coins in the machine.

4.3.1 Model the statement into two linear equations by letting the number of one-dollar coins to be x and the number of two-dollar coins to be y:

Let x be the number of one-dollar coins and y be the number of two-dollar coins in the machine. Then we can form the following two linear equations:

Equation 1: x + y = 36 (total number of coins)

Equation 2: 1x + 2y = 55 (total value of coins)

4.3.2 Solve the two equations you formed in 4.3.1 using Cramer’s rule to find the number of coins of each value:

To solve the two equations using Cramer's rule, we need to write them in matrix form:

| 1 1 | | x | | 36 |

| | x | | |

| 1 2 | | y | | 55 |

Using Cramer's rule, we first calculate the determinant of the coefficient matrix:

D = | 1 1 |

| 1 2 |

D = (1 x 2) - (1 x 1) = 1

Then we replace the first column of the coefficient matrix with the constants from the right-hand side of the equations:

Dx = | 36 1 |

| 55 2 |

And calculate the determinant of this matrix:

Dx = (36 x 2) - (55 x 1) = 17

Similarly, we replace the second column of the coefficient matrix with the constants from the right-hand side of the equations:

Dy = | 1 36 |

| 1 55 |

And calculate the determinant of this matrix:

Dy = (1 x 55) - (1 x 36) = 19

Finally, we can calculate the values of x and y using the formulas:

x = Dx / D = 17 / 1 = 17

y = Dy / D = 19 / 1 = 19

Therefore, there are 17 one-dollar coins and 19 two-dollar coins in the machine.

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The given expressiοn is equivalent tο -19.5b - 6.9.

A finite cοmbinatiοn οf symbοls that are well-fοrmed in accοrdance with cοntext-dependent principles is referred tο as an expressiοn οr mathematical expressiοn. Unknοwn variables, integers, and arithmetic οperatοrs are the cοmpοnents οf an algebraic expressiοn.

Here, we have

Given: 3(-4.5b-2.1)-(6b+0.6)

We have tο find the expressiοn that is equivalent tο the given expressiοn.

= 3(-4.5b-2.1)-(6b+0.6)

= -13.5b - 6.3 - 6b - 0.6

= -19.5b - 6.9

Hence, the given expressiοn is equivalent tο -19.5b - 6.9.

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Answer:

6.75 in

Analysis:

[tex]\text{The average heights of gymnasts is 60 in, the other is 75 in.}[/tex]

[tex](60+75)\div2=6.75 \ \text{in}[/tex]

In conclusion, we need to identify the set of values of x for which either f(x)=-1/4 or f(-x)=-1/4 in order to solve to the equation f(|x|)=-1/4.

The expression f(|x|)=-1/4 indicates that the absolute value of x's function f is equal to 1/4. Any x values that satisfy this equation are what we are trying to find. We can rewrite the equation as f(x)=-1/4 when x is positive and f(-x)=-1/4 when x is negative because the absolute value of x is always positive.

We must search for values of x such that f(x)=-1/4 or f(-x)=-1/4 in order to identify the answers. Without knowing more about the function, f may be anything, hence we cannot know the precise solutions.

Therefore, we can state that x or -x is a solution to the equation if there is a value of x such that f(x)=-1/4 or f(-x)=-1/4.

As a result, we must identify the range of x values for which either f(x) or f(-x) = 1/4.

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Answer:

2 and 6

Step-by-step explanation:

2 and 6 is the correct option

Answer:

-77

Step-by-step explanation:

What is Radical? The radical of a number is the same as the root of a number. The root can be a square root, cube root, or in general, nth root. Thus, any number or expression that uses a root is known as a radical. The term radical is derived from the Latin word Radix which means root.

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i. The points of intesection of the common chords of the curve x² + y² = 4 and y² = 3x are

ii. The points of intesection of the common chords of the curve x² + y² = 4 and x² - 4y + 1 = 0 are

The common chords of circles are the chords that pass through the points of intersection of the curves.

i. Given the curve x² + y² = 4 and y² = 3x. We desire to find their points of intesection of the common chords. We proceeds as follows.

Since  x² + y² = 4 and y² = 3x. Substituting the second equation into the first, we have

x² + y² = 4 and y² = 3x.

x² + 3x = 4

Re-arranging, we have

x² + 3x - 4 = 0

Factorizing the quadratic equation, we have

x² - x + 4x - 4 = 0

x(x - 1) + 4(x - 1) = 0

(x + 4)(x - 1) = 0

⇒ x + 4 = 0 and x - 1 = 0

⇒ x = - 4 and x = 1

Now, y² = 3x.

⇒ y = ±√3x

So.substituting x = -4 into the equation, we have

y = ±√3x

y = ±√(3 × -4)

= ±√(-12)

Since the square root is negative, this answer is invalid.

Substituting x = 1 into y, we have

y = ±√3x

y = ±√3(1)

y = ±√3

So, the points of intersection are (1, √3) and (1,-√3)

ii. Given the curve x² + y² = 4 and x² - 4y + 1 = 0. We desire to find their points of intesection of the common chords. We proceeds as follows.

Since  x² + y² = 4 and x² - 4y + 1 = 0. From the second equation, we have

x² = 4y - 1

Substituting this equation into the first, we have

x² + y² = 4 and x² = 4y - 1

y² + 4y - 1 = 4

Re-arranging, we have

y² + 4y - 1 - 4 = 0

y² + 4y - 5 = 0

Factorizing the quadratic equation, we have

y² - y + 5x - 5 = 0

y(y - 1) + 5(y - 1) = 0

(y + 5)(y - 1) = 0

⇒ y + 5 = 0 and y - 1 = 0

⇒ y = - 5 and y = 1

Now, x² = 4y - 1

⇒ x = ±√(4y - 1)

So, substituting y = -5 into the equation, we have

x = ±√(4y - 1)

x = ±√[(4 × -5) - 1)]

= ±√(- 20 - 1)

= ±√-21

Since the square root is negative, this answer is invalid.

Substituting y = 1 into x, we have

x = ±√(4y - 1)

x = ±√(4(1) - 1)

x = ±√(4 - 1)

x = ±√3

So, the points of intersection are (√3, 1) and (-√3, 1)

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Answer: Let's start by using algebra to solve the problem.

Let's call the width of the rectangle "w". Then we know that the length of the rectangle is twice the width, or "2w".

The formula for the perimeter of a rectangle is:

P = 2l + 2w

where P is the perimeter, l is the length, and w is the width.

We know that the perimeter is 18 inches, so we can substitute the values we have:

18 = 2(2w) + 2w

Simplifying:

18 = 4w + 2w

18 = 6w

Dividing both sides by 6:

w = 3

So the width of the rectangle is 3 inches.

To find the length, we can use the fact that it is twice the width:

l = 2w = 2(3) = 6

So the length of the rectangle is 6 inches.

Therefore, the rectangle is 6 inches long and 3 inches wide.

enjoy!

Answer:

Hello, your answer is 10

Step-by-step explanation:

Have a good day UwU

Answer:  A^2 + B^2 = C^2

Step-by-step explanation:

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In a case whereby Filipe bought a classic car, originally valued at $60,000, in 2012. whee  the value of the car depreciates exponentially at a rate of 4% the expected value of Filipe's car after 6 years is $46970

Based on the given information, the future value when there is a depreciation can be calculated using the formular below:

FV =[ P (1 - r)^n]

where the

R  represent the rate of depreciation =4%  = 0.04

N represent the number of years =  6 years

FV represent the Future value

P represent the Present value

From the formula we can input the values as :

$60,000 x ( 1 - 0.04)^6 = $42,890

=$46965.5

=$46970 (rounded up)

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There is no one definite answer.

Given information: If 3 −2√5 and 6 + ???? are roots of P(x), what other numbers must also be roots?To find out the other roots of P(x), we have to make use of the Fundamental theorem of algebra which states that every polynomial of degree n has n roots, both real and complex.In order to find out the other roots, we have to divide the polynomial P(x) by its given roots i.e (x-(3-2√5))(x-(6+????)) = 0Let's begin by solving the first root:Since, If 3 −2√5 is the root, thus we can write, x - (3 - 2√5) = 0Or, x - 3 + 2√5 = 0Or, x = 3 - 2√5Similarly, for the second root, 6 + ???? ,

we can write: x - (6 + ???? ) = 0Or, x = 6 + ????Now, Let's combine these two roots and write the polynomial in factored form. Using these two roots, we can write the equation as below: Thus, P(x) = (x - 3 + 2√5)(x - 6 - ???? ) = 0We have found the other roots to be: Other roots = (x - 3 + 2√5)(x - 6 - ???? ) = 0Where ???? can be any value. Therefore, there is no one definite answer.

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Answer:

405mm^3

Hope this helps!

Brainliest and a like is much appreciated!

Answer:

405

Step-by-step explanation:

The length of BC is 6 units.

In geometry, the tangent is commonly used to describe the relationship between a circle and a straight line. A tangent line to a circle is a line that intersects the circle at exactly one point. This point of intersection is called the point of tangency. The tangent line is perpendicular to the radius of the circle at the point of tangency.

By the tangent-secant theorem, we have:

PB^2 = PA(PA + AB)

where AB is the length of the tangent segment from point A to the point of intersection of the secant with the circle.

Substituting the given values, we get:

4^2 = 8(8 + AB)

Simplifying and solving for AB, we get:

16 = 64 + 8AB

8AB = -48

AB = -6

Since AB is a length, it must be positive, so we take the absolute value:

AB = 6

Now we can use the secant-tangent theorem to find the length of BC:

PC(PC + BC) = PB^2

Substituting the given values and using the fact that PC = PA = 8, we get:

8(8 + BC) = 4^2

64 + 8BC = 16

8BC = -48

BC = -6

Again, since BC is a length, it must be positive, so we take the absolute value:

BC = 6

Therefore, the length of BC is 6 units.

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Answer: go to your profile and you'll see the account or profile I

think,  and you go to settings and it it will probably say something like delete the account or give you the choice to.

Step-by-step explanation:

Answer:

I think that you click on your profile picture, then go to your settings from there, and then you eventually find the cancel account or delete account choice.

Step-by-step explanation:

you do the above

Answer:

290 feet/minute

Step-by-step explanation:

2320/9 = 290

4350/15 = 290

Answer:

y = 0

Step-by-step explanation:

the 2 points (- 1, 0 ) and (0, 0 ) both have the same y- coordinate.

this indicates the line is horizontal with equation

y = c ( c is the value of the y- coordinates the line passes through )

both points have a y- coordinate of 0 , then

y = 0 ← equation of line

The set of ordered pairs in option C does not represent a function.

What is a function?

A function is a mathematical expression, rule, or law that describes the relationship between an independent variable and a dependent variable.

We know that in a function each input has only one output.

So, on evaluating the options, we get

Option A

This represents a function as each input has only one output.

Option B

This represents a function as each input has only one output.

Option C

This does not represent a function as input 2 has two different outputs which are 2 and 7.

Option D

This represents a function as each input has only one output.

Option E

This represents a function as each input has only one output.

Hence, the set of ordered pairs in option C does not represent a function.

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Question: Which set of ordered pairs does NOT represent a function?

A. (-4, 2), (-3, 2), (-2, 2), (-1, 2), (0, 2), (1, 2)

B. (0, 1), (2, 2), (4, 8), (-2, 7), (5, 8)

C. (0, 1), (2, 2), (4, 8), (2, 7), (5, 8), (7, 9)

D. (1, 4), (3, 7), (5, 8), (4, 9), (6, 2), (7, 8), (2, 5)

E. (-3, 6), (2, 7), (0, 5), (1, 5), (4, 9), (5, 4)

Answer:

Length - 12 m, width - 8m, height - 4 m

--------------------------------------

The relation between dimensions of the box:

Use volume equation and find the value of l:

Find the width and height:

The value of m, n and w are 92, 48 and 88 respectively

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices. A triangle is also a polygon( 3sided polygon). The sum of angles In a polygon is 180. i.e A+B +C = 180

In the triangle above, The triangle is divided into two.

42+36+w = 180

88+w = 180

w = 180 - 88

w = 92°

From the law of the law of exterior angle of a triangle which states that; The exterior angle of a triangle is equal to the sum of opposite angles.

Therefore;

92 = n + 44

n = 92-44

n = 48°

w = 180-92( angles on a straight line)

w = 88°

Therefore the value of m, n, w are 92, 48 and 88 respectively

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Answer:

70%

Step-by-step explanation:

3 out of the 10 marbles are not orange, so 7/10 chance you don't, and then you can multiply by 10, and then you have 70 percent