here is some info about a play

starts at 7:30

1st act lasts 46 min

interval 20 min

2nd act 53 min

what time does the second act end

The factored form of the polynomial function f(x) = 2x² - 9x - 18 is:

(2x + 3 )( x - 6 ).

Given the function in the question:

f(x) = 2x² - 9x - 18

For a polynomial in the form: ax² + bx + c,

Rewrite the middle term as a sum of the two terms whose product is:

a × c = 2 × -18 = -36

And whose sum is b = -9

f(x) = 2x² - 9x - 18

Factor -9 out of 9x:

f(x) = 2x² - 9( x ) - 18

Rewrite -9 as 3 - 12

f(x) = 2x² + (3 - 12)( x ) - 18

Distribute the x:

f(x) = 2x² + 3x - 12x - 18

Factor out the greatest common factor from each group:

f(x) = x( 2x + 3 ) - 6( 2x + 3 )

Group the first and last two:

f(x) = (2x + 3 )( x - 6 )

Therefore, the factored form is f(x) = (2x + 3 )( x - 6 ).

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Answer:

C) $2,762.07

you can use a compound interest calculator to find the answer

The mean should be calculated for data sets A, B, C, and D.

It is useful to take into account the nature of the data and any potential outliers when deciding whether to choose the mean or the median as the measure of center in a data set.

When the data is symmetrically distributed with no major outliers, the mean is usually a better choice. It affects extreme values and gives an indication of the average value.

The median, on the other hand, is often preferred when the data is skewed or contains outliers. It represents the middle value when the data is ordered, and it is less affected by extreme values.

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The ratio of the areas of two similar polygons can be found by using the ratio of their perimeters or the ratio of similarity and squaring it which is true.

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

Similar polygons are those whose perimeter ratios are identical to their respective scale factors. The common fraction of the sizes of two matching sides of two identical polygons is known as a scale factor.

The given statement is true.

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Answer:

Step-by-step explanation:

17 hours multiplied by 60 (60 seconds in 1 minute) = 1020 minutes + 38 minutes = 1058 minutes.

Miles per hour = distance/time

1163/1058 = 1.10 miles per hour

This proof was correctly started by both eric and maggie.

The next step in the proof is to set the right side of the equations equal.

This would be done by the transitive property of equality.

This refers to the use of inference to make an argument to show the logical conclusion to a set of assumptions.

Based on the given diagram that shows Triangle XYZ and the mathematical proof that both Eric and Maggie are trying to prove, they both give the correct proof and the next step was to make the right side of the equations equal.

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Answer:

1: both

2: set the right side

3: transitive property

Step-by-step explanation:

got it right on plato :)

The Movies For Less charges $5 more than Movies Plus.Therefore, option A is correct.

According to the statement

we have to find that the Which statement is true if 15 movies are rented from each company.

So, For this purpose, we know that the

From the given information:

Movies Plus charges its customers a $10 monthly service fee plus $2 for each movie the customer rents.

So, 15 movies from this provider will cost = 10+2(15)

15 movies from this provider will cost = 40 dollars

Movies For Less charges $3 for each movie but does not have a monthly service fee.

So, 15 movies from this provider will cost =  15 *3 dollars.

15 movies from this provider will cost =  45 dollars.

Comparing both providers,

Then

we can see that Movies For Less charges $5 more than Movies Plus.

Therefore, option A is correct.

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Disclaimer: This question was incomplete. Please find the full content below.

Question:

Movies Plus charges its customers a $10 monthly service fee plus $2 for each movie the customer rents. Movies For Less charges $3 for each movie but does not have a monthly service fee. The costs of renting movies during the same month is represented in the table below.

Which statement is true if 15 movies are rented from each company?

A)Movies For Less costs $5 more.

B)Movies Plus costs $5 more.

C)Movies Plus costs $6 more.

D)Each company charges the same amount.

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The number 100 would land in column 2

Given that we have the array of numbers

The length of each row in the array is 7

Dividing 100 by 7, we have

100/7 = 14 Remainder 2

This means that

Column = 2

In (a), we have

100/7 = 14 Remainder 2

This means that

Row = 14

Here, we have

The length of each row in the array is 6

Dividing 100 by 6, we have

100/6 = 16 Remainder 3

So, the location of 100 in rows of 6 numbers is row 16 and column 3

Let the length of each row in the array be n

Dividing 100 by n, we have

100/n = q Remainder r

This means that the location of 100 in rows of n numbers is row q and column r

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Answer:Simplifying

(4a + 6b)(a + -1b) = 0

Multiply (4a + 6b) * (a + -1b)

(4a * (a + -1b) + 6b * (a + -1b)) = 0

((a * 4a + -1b * 4a) + 6b * (a + -1b)) = 0

Reorder the terms:

((-4ab + 4a2) + 6b * (a + -1b)) = 0

((-4ab + 4a2) + 6b * (a + -1b)) = 0

(-4ab + 4a2 + (a * 6b + -1b * 6b)) = 0

(-4ab + 4a2 + (6ab + -6b2)) = 0

Reorder the terms:

(-4ab + 6ab + 4a2 + -6b2) = 0

Combine like terms: -4ab + 6ab = 2ab

(2ab + 4a2 + -6b2) = 0

Solving

2ab + 4a2 + -6b2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2'.

2(ab + 2a2 + -3b2) = 0

Factor a trinomial.

2((a + -1b)(2a + 3b)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(a + -1b)' equal to zero and attempt to solve:

Simplifying

a + -1b = 0

Solving

a + -1b = 0

Move all terms containing a to the left, all other terms to the right.

Add 'b' to each side of the equation.

a + -1b + b = 0 + b

Combine like terms: -1b + b = 0

a + 0 = 0 + b

a = 0 + b

Remove the zero:

a = b

Simplifying

a = b

Subproblem 2

Set the factor '(2a + 3b)' equal to zero and attempt to solve:

Simplifying

2a + 3b = 0

Solving

2a + 3b = 0

Move all terms containing a to the left, all other terms to the right.

Add '-3b' to each side of the equation.

2a + 3b + -3b = 0 + -3b

Combine like terms: 3b + -3b = 0

2a + 0 = 0 + -3b

2a = 0 + -3b

Remove the zero:

2a = -3b

Divide each side by '2'.

a = -1.5b

Simplifying

a = -1.5b

Solution

a = {b, -1.5b}

Step-by-step explanation:

Answer:

(-2)3+4divided(-15+9)(3)-4=====    -12

Step-by-step explanation:

I used a calculator, sorry for cheating brainly since I didnt use paper

Answer:

Number of small candles = 12

Number of large candles = 16

Step-by-step explanation:

Total candles = 28

x + y = 28 ---------------(I)

Cost of 'x' small candles = 4 *x = 4x

Cost of 'y' large candles = 6 *y = 6y

Total amount = $144

4x + 6y = 144 -------------(II)

Multiply equation (I) by (-4) and then add the equation. So, x will be eliminated and we can find the value of 'y'

(I) * (-4)            -4x - 4y = -112

(II)                    4x  + 6y = 144              {Now, add}

                               2y = 32

                                y = 32/2

y = 16

Plug in y = 16 in equation (I)

x + 16 = 28

       x = 28 - 16

x = 12

Answer:

small candles-x

large -y

144-4x=6y

28-x=y

28-y=x

(28-x)6+4x=144

168-6x+4x=114

-2x=-54

2x=54

x=27

27 small and 1 large

Answer:

The answer is the 3rd one, not equivalent. 8x+4y=4(2x+y)

Answer: m∠ TUW =  38°

m∠WUV =  12°

m∠TUV =  103°

Step-by-step explanation:

Given: m∠ TUW = (5x + 3)°, m∠WUV=(10x-5)°, and m∠TUV=(17x-16)°

Since, m∠TUV = m∠ TUW  +  m∠WUV

So, 17X-16 = (5x + 3) + (10x-5)

⇒ 17X-16 = 5x + 3 + 10x-5   [open parenthesis]

⇒  17X-16 =5x +  10x +3 -5   [combine like trems]

⇒  17X-16 =15x -2

⇒   17X -15x = -2+16     [subtract 15x and add 16 on both sides]

⇒   2x = 14        

⇒  x= 7               [divide both sides by 2]

Now, m∠ TUW = (5(7) + 3)°=  38°

m∠WUV=(10(7)-5)° =  12°

m∠TUV=(17(7)-16)° =  103°

Hence,  m∠ TUW =  38°

m∠WUV =  12°

m∠TUV =  103°

Answer:

Fruit mass = 63.2 g

Biscuit mass = 94.8 g

Step-by-step explanation:

Since the ratio of fruit mass to biscuit mass is 2:3, the fraction of fruit mass to the total of fruit and biscuit mass is 2/5 and the fraction of biscuit mass to the total of fruit and biscuit mass is 3/5.

For Monkey A, the total of fruit and biscuit mass is 73 g, which means that the fraction of fruit mass is 2/5 × 73 g = 29.2 g and the fraction of biscuit mass is 3/5 × 73 g = 43.8 g. Therefore, the values for fruit mass and biscuit mass are:

Fruit mass = 29.2 g

Biscuit mass = 43.8 g

For Monkey B, the total of fruit and biscuit mass is 73 + 85 = 158 g, which means that the fraction of fruit mass is 2/5 × 158 g = 63.2 g and the fraction of biscuit mass is 3/5 × 158 g = 94.8 g. Therefore, the values for fruit mass and biscuit mass are:

Fruit mass = 63.2 g

Biscuit mass = 94.8 g

The area of the kite is A = 48 units²

Given data ,

Let the area of the kite be represented as A

Now , the value of A is

Let the first diagonal of the kite be d₁ = 12 units

Let the second diagonal of the kite be d₂ = 8 units

Now , Area of kite = ( 1/2 ) d₁ x d₂

On simplifying , we get

A = ( 1/2 ) ( 12 ) ( 8 )

A = 48 units²

Therefore , the value of A is A = 48 units²

Hence , the area of the kite is A = 48 units²

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Answer: C

Step-by-step explanation: The answer is C because it is.

Answer: Suppose there exists a positive rational number r such that r^2 < 2. Then we have 2 - r^2 > 0. Let h = (2 - r^2)/4. Then h > 0 because r^2 < 2.

Consider the number rh = r + h. We have:

(rh)^2 = (r + h)^2 = r^2 + 2rh + h^2 = r^2 + 2(2 - r^2)/2 + (2 - r^2)/16

= r^2 + 2 + (2 - r^2)/16

< 2 + 2 + (2 - 2)/16 = 2.

Thus, for any positive rational number r such that r^2 < 2, there exists a larger positive rational number rh = r + h such that (rh)^2 < 2.

Step-by-step explanation:

Answer:

read me

Step-by-step explanation:

In mathematics, function composition is an operation that takes two functions f and g and produces a function h such that h(x) = g(f(x)). ... Composition of functions is different from multiplication of functions, and has quite different properties; in particular, composition of functions is not commutative.

Answer:

Remi bought 3 notebooks

Step-by-step explanation:

Let n = number of notebooks.

2 pencils cost 2 * £0.24 = £0.48

3 pens cost 3 * £0.37 = £1.11

3 sharpeners cost 3 * £0.77 = £2.31

n notebooks cost n * £1.40 = £1.4n

The total cost is £9 - £0.90 = £8.1

0.48 + 1.11 + 2.31 + 1.4n = 8.1

1.4n + 3.9 = 8.1

1.4n = 4.2

n = 3

Answer: Remi bought 3 notebooks.

The number of notebooks Remi would need to buy is 2.

Let's solve this problem step by step.

First, let's calculate the total cost of the items Remi bought.

The cost of 2 pencils would be 2 * £0.24 = £0.48.

The cost of 3 pens would be 3 * £0.37 = £1.11.

The cost of 3 sharpeners would be 3 * £0.77 = £2.31.

Let's assume the number of notebooks Remi bought is 'x'.

The cost of 'x' notebooks would be x * £1.40 = £1.40x.

So, the total cost of all the items would be:

£0.48 + £1.11 + £2.31 + £1.40x = £0.48 + £1.11 + £2.31 + £1.40x = £4.90 + £1.40x.

According to the given information, Remi paid with £9 and received 90p change.

Therefore, we can set up the equation:

£9 - £4.90 - £1.40x = 90p.

To simplify the equation, we need to convert 90p to pounds. Since £1 = 100p, 90p = 90/100 = £0.90.

Now, let's solve the equation:

£9 - £4.90 - £1.40x = £0.90.

Combining like terms, we get:

£4.10 - £1.40x = £0.90.

Now, let's isolate the 'x' term:

£4.10 = £0.90 + £1.40x.

Subtracting £0.90 from both sides, we get:

£3.20 = £1.40x.

Now, let's isolate 'x':

x = £3.20 / £1.40.

x ≈ 2.29.

Since we can't have a fraction of a notebook, we need to round the value to the nearest whole number.

So, Remi bought approximately 2 notebooks.

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The answer to this is 147. Just divided 9 by 63 :)

The answer is options a and b are equivalent and option c and d are equivalent.

The composition of transformations is a way to describe how multiple transformations can be applied to an object to create a new image. To find out what combinations of transformations would create the new image from the original, we can work backwards from the new image and apply the inverse of each transformation in reverse order.

The first transformation is a rotation of 270 degrees counter-clockwise about the origin. To undo this rotation, we need to perform a rotation of 90 degrees clockwise about the origin. The matrix for this transformation is:

[0 1]

[-1 0]

The second transformation is given by the matrix B [0 1 -1 0]. To undo this transformation, we need to apply its inverse, which is:

[-1 0 0 -1]

[0 1 -1 0]

To summarize, the combinations of transformations that would create the new image from the original are:

a. Rotate 90 degrees clockwise about the origin, then apply transformation B [0 1 -1 0].

b. Apply transformation B [0 1 -1 0], then rotate 90 degrees clockwise about the origin.

c. Rotate 270 degrees counter-clockwise about the origin, then apply the inverse of transformation B [-1 0 0 -1].

d. Apply the inverse of transformation B [-1 0 0 -1], then rotate 270 degrees counter-clockwise about the origin.

Therefore, options a and b are equivalent, since rotation and transformation are both associative operations. Similarly, options c and d are equivalent for the same reason.

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Answer:

Re-read the question bro, it's already there

Step-by-step explanation:

Answer: A is about 90

Step-by-step explanation: B is 190

Answer:

1024

Step-by-step explanation:

1024/8=128. all are divisible by 8, but 1024 is the only one where you don't need a decimal in the answer

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Perimeter of the square = 4 × side

By substituting values,

⇒ 4 × 70m

➥ 280m

Perimeter of the rectangle = 2( length + Breadth)

By substituting values,

⇒ 2( 90m + 60m )

⇒ 2( 150m)

➥ 300m

Difference between perimeters of fields = Perimeter of Rectangular field - perimeter of square field

By substituting values,

⇒ 300m - 280m

➠ 20m

Answer:

3x + 1 – 2x = 9 – 3

Step-by-step explanation:

3) 6 + 2x – 4 = x – 1

4) – 6 – 2x = - 3x – 6

5) x + x +4 +2 = 8

6) 2x + x +5 – 5 = 6

7) 2x – x – 3 – 5 = 2

8) 2x + 2 – 1 – x = 2

9) 5x – 4= 3x – 2

10) 2x – 5 +1 +x = + x – 6

11) – 2x – 5 = 6 – x – 2x

12) – 10 – 4 x + 2x = – 3 – 4x

13) – 5x – 6 + 4 = 4 + 2x – 8x

14) – x = – 6 – 2 – 2x

15) 5x – 10 – 3x +3 + 2x = 20 – x – 4 – 3 + 3x

Answer:

i dont know bro just taking my points back

Step-by-step explanation: