Lauren supplies costumes to a number of theater companies. She recently provided 8
top hats and 14 other hats. Considering this data, how many of the next 33 hats requested
from Lauren's inventory should you expect to be top hats?

The number line showing the solution set would have an open circle on -6 and a shaded region to the right of -6.To isolate the variable and solve the inequality 4x + 4 > -20, we need to subtract 4 from both sides of the inequality:

4x + 4 - 4 > -20 - 4

Simplifying, we have:

4x > -24

Next, we divide both sides of the inequality by 4 to isolate x:

(4x)/4 > (-24)/4

Simplifying, we have:

x > -6

This means that x is greater than -6. On the number line, we represent this solution by shading all the values to the right of -6, since x can take any value greater than -6. Therefore, the number line showing the solution set would have an open circle on -6 and a shaded region to the right of -6.

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Exponential growth that shows greater increases with passing time, creating the curve of an exponential function and Arithmetic growth takes place when a constant is being added such that the amount of addition remains constant.

The amounts added grow by a fixed rate of growth, expressed in percentages. Due to the fact that these remain constant while the amounts added rise, growth is then typically measured in doubling times.

Due to the fact that all populations of organisms have the potential to experience exponential growth, the concept of exponential growth is particularly intriguing in the field of population biology.

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Answer:

Any non-zero number to the zero power equals one

Step-by-step explanation:

Any non-zero number to the zero power equals one

so

(-2)^0 = 1

Answer:

\( \sf \: -15c + 10 \)

Step-by-step explanation:

Now we have to,

→ Simplify the given expression.

The expression is,

→ -7c + 9 - 8c + 1

Let's simplify the expression,

→ -7c + 9 - 8c + 1

→ -7c - 8c + 9 + 1

→ (-7 - 8)c + (9 + 1)

→ (-15)c + (10)

→ -15c + 10

Hence, the answer is -15c + 10.

Answer:

A syllogism is a chain of three statements.

Explanation:

A syllogism is a basic form of reasoning consisting of three statements. The first two statements are the premises, the third statement is the conclusion. Here is a first example, showing the way we are going to write syllogisms in these notes.

Answer:

ok?

Step-by-step explanation:

Sure friend what do you need help with? I will help you

Answer:

Step-by-step explanation:

This is a linear equation, y= mx + b, where y is the amount of money he has to spend, the value of b is 275 (the cost of the system), and 39x represents the cost of each game is x number of games is bought. We fill in and solve for x:

400 = 39x + 275 and

125 = 39x so

x = 3.2

Since he can't buy 3.2 games, the max number of games he can buy is 3.

Answer:

(3,0)

Step-by-step explanation:

Co-ordinates of J =(4,3)

Co-ordinates of K = (2,-3)

Midpoint formula :

 = \(\frac{x_{1}+x_{2} }{2} , \frac{y_{1} +y_{2} }{2} \\ \frac{4+2}{2} ,\frac{3+(-3)}{2}\\\frac{6}{2},\frac{3-3}{2}\\3, 0\)

Coordinates of the midpoint M (3,0)

The coordinates of the midpoint M is (3,0) and the distance between J(4,3) and K(2,-3) is 6.32 units.

The distance between two points of the xy-plane can be found using the distance formula. The distance formula is:

√[(x₂ - x₁)² + (y₂ - y₁)²].

Now given coordinates of two points are,

J(4,3) and K(2,-3)

Therefore we have,

x₁ = 4

y₁ = 3

x₂ = 2

y₂ = -3

To find the midpoint between J and K we have,

{[(x₁+x₂ )/2] , [(y₁+y₂ )/2]}

Put the values, we get

{[(4+2)/2] , [(3+(-3)/2]}

solving them,

{(6/2) ,(0/2)}

or,

(3,0)

which is the required midpoint M.

Now distance between J(4,3) and K(2,-3) = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(2 - 4)² + (-3 - 3)²]

= √[(- 2)² + (-6)²]

= √4 +36

= √40

= 6.32 units

Thus, the coordinates of the midpoint M is (3,0) and the distance between J(4,3) and K(2,-3) is 6.32 units.

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Answer:

24

Step-by-step explanation:

Answer

24!

Step-by-step explanation:

Person above me is correct :)

The perpendicular distance from point P to the line connecting stations Shore and Rock is approximately 668,389.33 feet.

To find the perpendicular distance from point P to the line connecting stations Shore and Rock, we can use the formula for the distance between a point and a line.

The equation of the line connecting stations Shore and Rock can be determined using the slope-intercept form of a straight line: y = mx + b, where m is the slope and b is the y-intercept.

First, let's calculate the slope of the line:

slope = (Y2 - Y1) / (X2 - X1)

     = (392,133.86 - 394,087.52) / (652,531.72 - 654,127.26)

     = -1,953.66 / -1,595.54

     ≈ 1.224

Next, we can find the y-intercept (b) by substituting the coordinates of either station (e.g., Rock) into the slope-intercept form and solving for b:

392,133.86 = 1.224 * 652,531.72 + b

b ≈ 392,133.86 - 799,247.25

b ≈ -407,113.39

So, the equation of the line connecting Shore and Rock is:

y ≈ 1.224x - 407,113.39

Now, let's calculate the perpendicular distance from point P to the line using the formula:

distance = |Ax + By + C| / sqrt(\(A^2\) + \(B^2\))

where A, B, and C are the coefficients of the line equation in the form Ax + By + C = 0. In this case, the equation of the line can be rewritten as:

-1.224x + y + 407,113.39 = 0

Therefore, A = -1.224, B = 1, and C = 407,113.39. Plugging in the coordinates of point P (653,594.81, 393,436.47) into the formula, we get:

distance = |-1.224 * 653,594.81 + 1 * 393,436.47 + 407,113.39| / sqrt((-1.224)^2 + 1^2)

        = |-799,103.63 + 393,436.47 + 407,113.39| / sqrt(1.497)

        = |1,001,446.23| / 1.225

        ≈ 818,003.79 / 1.225

        ≈ 668,389.33

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Answer:

$490 is the retail price

Step-by-step explanation:

75% = \(\frac{3}{4}\)

\(\frac{280}{4} = 70\)

\(70(3)=210\)

\(280+210=490\)

The retail price will be; 490 dollar.

Markup is the amount that will be increased in the original price of the considered thing.

Markdown is the amount that will be decreased from the original price of the considered thing.

Think of "up" and "down" as increasing and decreasing prices respectively.

We are given that Haas Door Co. produces truck dock door seals. Their 9' × 10' seal costs $280 to produce.

The mark-up rate = 75% of the cost to produce.

Retail price = cost price + 75 % of cost price

Therefore,

Retail price = 280 + 75 % of 280

Retail price = 280 + 0.75 x 280

Retail price = 280 + 210

Retail price = 490

Thus, retail price is $ 490

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The value 135 centimeters is equal to 4 feet.

To convert centimeters to feet and inches, divide the number of centimeters by 2.54.

The result will give you the number of inches, and then you can convert the number of inches to feet by dividing by 12. In this case, 135 cm ÷ 2.54 = 53.15 inches, and then 53.15 inches ÷ 12 = 4.429 feet.

It's important to note that the centimeter (cm) and inch (in) are both units of measurement used to express length, but they are part of different systems of measurement. The centimeter is part of the International System of Units (SI), while the inch is part of the imperial system commonly used in the United States and the United Kingdom. To ensure accurate results, it's important to use accurate conversion factors when converting between units of measurement.

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Answer: 32 Times

Step-by-step explanation:

4 * 4 * 2 = 32

Answer: 32

Step-by-step explanation:

4*4=16

16*2=32

or just look it up on whatever browser your using.

Answer:

The answer is D<3

Step-by-step explanation:

Answer:

y = 1/2 x - 5

Step-by-step explanation:

use the equation y=mx+b where m= the slope of the line and b=the slope-intercept (the point where the line crosses the y axis)

the slope is 1/2 and the slope-intercept is -5

Answer:

y=1/2x-5

Step-by-step explanation:

grad=change in y/change in x

=(-4--5)

----------

(2-0)

=1/2

G=0.5

0.5=y--5

------

x-0

0.5 (x-0)=y+5

0.5x=y+5

-y= -0.5x+5

y=1/2x-5

The most accurate estimated sum of 181 and 204 is 380

The given numbers are 181 and 204

The compatible numbers are defined as the numbers that are easy to do the arithmetic operations. The arithmetic operations are addition, subtraction, division and multiplication etc.

To find the sum of the compatible numbers first we have to round the given numbers to the nearest tens or hundreds and do the the arithmetic operation

Round 181 to the nearest tens = 180

Round 204 to the nearest tens = 200

Then the sum of compatible numbers will be

180 + 200 = 380

Therefore, the most accurate estimation is 380

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Let's call the original productivity "P1" and the new productivity "P2".

P1 = 120 boxes / 30 hours = 4 boxes/hour

P2 = 220 boxes / 30 hours = 7.33 boxes/hour

The unit increase in productivity is P2 - P1 = 7.33 - 4 = 3.33 boxes/hour

The percentage increase in productivity is (P2 - P1) / P1 * 100% = (3.33 / 4) * 100% = 83.25%.

So, we conclude that original productivity of boxes is 4 boxes/ hour,  the new productivity is 7.33 boxes/hour, the unit increase in productivity is 3.33 boxes/hour, and the percentage increase in productivity is 83.25%.

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_______ The given question is incomplete, the complete question is given below:-

Chuck Sox makes wooden boxes in which to ship

motorcycles. Chuck and his three employees invest a total of 30

hours per day making the 120 boxes.

1) What is their productivity?

2) Chuck and his employees have discussed redesigning the process

to improve efficiency. If they can increase the rate to 220 boxes

per day, what will be their new productivity?

3) What will be their unit increase in productivity per hour?

4) What will be their percentage change in productivity?

Number of clients who do not play either the piano or the guitar is 22

To find the number of clients who do not play either instrument, we need to subtract the number of clients who play either the piano or the guitar or both from the total number of clients.

Let A be the set of clients who play the piano, and B be the set of clients who play the guitar. Then, we can use the formula A union B

|A ∪ B| = |A| + |B| - |A ∩ B|

where |A ∪ B| is the number of clients who play either the piano or the guitar or both, |A| is the number of clients who play the piano, |B| is the number of clients who play the guitar, and |A ∩ B| is the number of clients who play both instruments

Substituting the given values, we get

|A ∪ B| = 46 + 58 - 17

|A ∪ B| = 87

Therefore, the number of clients who do not play either instrument is:

109 - 87 = 22

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The correlation coefficient, denoted as r, is a measure of the strength and direction of a linear relationship between two variables. It ranges from -1 to 1, where -1 indicates a perfect negative correlation, 1 indicates a perfect positive correlation, and 0 indicates no correlation.

To decide if the correlation coefficient is close enough to ± 1 to declare that there is a correlation, we can use the following guidelines:

- If r is close to 0, it indicates that there is little to no correlation between the two variables.
- If r is between 0.1 and 0.3 (or -0.1 and -0.3), it indicates a weak positive (or negative) correlation.
- If r is between 0.3 and 0.7 (or -0.3 and -0.7), it indicates a moderate positive (or negative) correlation.
- If r is between 0.7 and 1 (or -0.7 and -1), it indicates a strong positive (or negative) correlation.

Therefore, if the correlation coefficient is close to ± 1, we can declare that there is a strong correlation between the two variables. However, it is important to note that correlation does not imply causation, and other factors should also be considered before drawing any conclusions.

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If the correlation coefficient is close to +1 or -1, we can declare that there is a strong correlation between the two variables. If the correlation coefficient is close to 0, we can declare that there is a weak or no correlation between the two variables.

To decide if the correlation coefficient is close enough to ± 1 to declare that there is a correlation, we can use the following guidelines:

- A correlation coefficient of +1 or -1 indicates a perfect linear relationship between two variables.
- A correlation coefficient close to +1 or -1, such as +0.9 or -0.9, indicates a strong linear relationship between two variables.
- A correlation coefficient close to 0, such as +0.2 or -0.2, indicates a weak linear relationship between two variables.
- A correlation coefficient of 0 indicates no linear relationship between two variables.

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It takes a train going 50 mph approximately 11/2 miles to stop safely.

The distance a train takes to come to a stop can be determined by several factors, including the speed of the train, the weight of the train, the condition of the brakes and the track, and the reaction time of the engineer.

In general, a train going 50 mph will take about 1 1/2 miles or 8,000 feet to stop safely. This is because a train moving at 50 mph is traveling at about 75 feet per second, and it takes a significant distance to slow down a heavy object moving at such a high speed. It's important to note that this is an estimation, and the actual stopping distance may vary depending on the specific conditions.

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Answer:

x = -51/4

Step-by-step explanation:

3(x+4) = 7(x+9)

3x + 12 = 7x + 63

-4x = 51

x = -51/4

Answer:

1) B) 10

2) B) 9

Step-by-step explanation:

1) 10x+15=115

10x=100

x=10

2) 12x+17=125

12x=108

x=9

Answer:

B

Step-by-step explanation:

The guy above me is correct

Answer:

56 pints hope this helps   Brainliest please

Step-by-step explanation:

Answer:

7 gallons = 56 liquid pints!

Explanation= 1 gallon = 8 pints

Answer:

2720

Step-by-step explanation:

Given that,

Price of the ticket = 2828.80

To find,

The price before the increase = ?

Procedure:

Let the price before the increase be x

so,

x(100% + 4%) = 2828.80

⇒ 1.04x = 2828.80

⇒ x = 2828.80 ÷ 1.04

∵ x = 2720

Thus, the price before the increase was 2720.

Answer:

Answer should be 77280.

Step-by-step explanation:

: ' /

Answer:

-5

Step-by-step explanation:

2 - 1 = 1

5 - 10 = -5

-5 divided by 1 = -5

The value of the double integral (4x − 9y) dA over the region D bounded by the circle with center at the origin and radius 2 is -48.

To evaluate the double integral (4x − 9y) dA over the region D bounded by the circle with center at the origin and radius 2, we need to use polar coordinates.

In polar coordinates, the equation of the circle with center at the origin and radius 2 is given by r = 2. Therefore, the limits of integration for r are 0 and 2, and the limits of integration for θ are 0 and 2π.

The element of area in polar coordinates is given by dA = r dr dθ. Therefore, we can rewrite the double integral in terms of polar coordinates as follows

∬D (4x − 9y) dA = ∫₀² ∫₀²π (4r cosθ - 9r sinθ) r dθ dr

= ∫₀² r² (4cosθ - 9sinθ) dθ dr [Using the properties of integrals]

The integral with respect to θ is zero for sinθ and cosθ over a full period. Therefore, we have

∬D (4x − 9y) dA = ∫₀² r² (4cosθ - 9sinθ) dθ dr

= 4∫₀² r² cosθ dθ dr - 9∫₀² r² sinθ dθ dr

Integrating with respect to θ, we get

∫₀² r² cosθ dθ = [2r² sinθ]₀²π = 0

∫₀² r² sinθ dθ = [-2r² cosθ]₀²π = 4r²

Substituting these values in the original equation, we get

∬D (4x − 9y) dA = 4∫₀² r² cosθ dθ dr - 9∫₀² r² sinθ dθ dr

= 4(0) - 9(4r²) dr

= - 36 ∫₀² r² dr

= -36 [r³/3]₀² = -48

Therefore, the value of the double integral is -48.

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The given question is incomplete, the complete question is:

Evaluate the double integral. (4x − 9y) dA, D is bounded by the circle with center the origin and radius 2