Kendall set up 15 rows of chairs in the cafeteria for her school's talent competition. In the first 10 rows, she set up 30 chairs on the left side of the middle aisle and x chairs on the right side. In the last 5 rows, she set up 20 chairs on the left side of the middle aisle and y chairs on the right side to make room for the sound crew.
Pick all the expressions that represent how many chairs Kendall set up. Due tomorrow please help

Answer:

1.875

Step-by-step explanation:

1. You can divide 7 by 8 to get the decimal awnser and add one.

The answer to the question is:

1.875

The twο adjacent angles in the parallelοgram are 142 degrees and 38 degrees, and the οppοsite angles are alsο equal tο 142 degrees and 38 degrees.

Supplementary angles are thοse angles that sum up tο 180 degrees. Fοr example, angle 130° and angle 50° are supplementary angles because the sum οf 130° and 50° is equal tο 180°.

In a parallelοgram, οppοsite angles are equal and supplementary, which means they add up tο 180 degrees. Therefοre, the οppοsite angle tο the given angle οf 142 degrees is alsο supplementary tο it and equal tο0

180 - 142 = 38 degrees.

Since οppοsite sides οf a parallelοgram are parallel and cοngruent, the adjacent angles are alsο cοngruent. Therefοre, the οther angle adjacent tο the given angle οf 142 degrees is alsο equal tο 142 degrees.

Hence, the twο adjacent angles in the parallelοgram are 142 degrees and 38 degrees, and the οppοsite angles are alsο equal tο 142 degrees and 38 degrees.

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Complete question:

The measure of the other angle is 122°

A triangle is a polygon with three sides having three vertices. A triangle is a three sides polygon with its angle summing up to 180°

The exterior angle theorem states that the sum of the opposite interior angles is equal to the exterior angle.

This means that if a and b are the interior angles and c is the exterior opposite angles, then,

c = a + b

Similarly,

represent the other angle by x

30 + x = 152

x = 152 -30

x = 122°

Therefore the measure of the other angle is 122°

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Walter buys a bus pass for ₹30. Every time he rides the bus, money is deducted from the value of the pass. He rode 12 times and a value of ₹6 was left on the pass then each bus ride costs ₹2.

To calculate the cost of each bus ride, we subtract the remaining value of the bus pass from the initial value and divide it by the number of rides. In this case, the initial value of the bus pass was ₹30, and after 12 rides, there was ₹6 left.

Cost per bus ride = (Initial value of pass - Remaining value) / Number of rides

Cost per bus ride = (₹30 - ₹6) / 12

Cost per bus ride = ₹24 / 12

Cost per bus ride = ₹2

Therefore, each bus ride costs ₹2.

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The mean absolute percent error (MAPE) is 25%.

The mean absolute percent error (MAPE) is a measure of forecasting accuracy that quantifies the average deviation between predicted and actual values as a percentage of the actual values. In this case, the mean absolute deviation (MAD) is given as 25 units for the past 10 periods, and the total demand is 1,000 units.

To calculate the MAPE, we need to divide the MAD by the total demand and multiply by 100 to express it as a percentage. In this scenario, the MAPE is calculated as follows:

MAPE = (MAD / Total Demand) * 100

     = (25 / 1,000) * 100

     = 2.5%

Therefore, the MAPE is 2.5%, which means that, on average, the forecasts have a 2.5% deviation from the actual demand.

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When x is equal to -11/7, the Function F(x) evaluates to 22.

The equation F(x) = -7x - 11, you are looking for the values of x that make the equation true. In other words, you want to find the solutions for x that satisfy the equation.

To solve this linear equation, you can follow these steps:

Step 1: Set F(x) equal to zero:

-7x - 11 = 0.

Step 2: Add 11 to both sides of the equation:

-7x = 11.

Step 3: Divide both sides of the equation by -7 to isolate x:

x = 11 / -7.

Step 4: Simplify the fraction, if possible:

x = -11 / 7.

So, the solution to the equation F(x) = -7x - 11 is x = -11/7.

To verify the solution, you can substitute this value back into the original equation:

F(-11/7) = -7(-11/7) - 11

F(-11/7) = 11 + 11

F(-11/7) = 22.

Therefore, when x is equal to -11/7, the function F(x) evaluates to 22.

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The selection depends on individual needs, preferences, and the intended use of the tiny house.

a) To find the amount of space inside each house, we need to calculate the volume for each design.

House on the left:

Volume = length x width x height = 2.5 m x 18 m x 2.8 m = 126 m³

Triangular house:

Volume of a triangular prism = (base area x height) / 2

Base area = (1/2) x base x height = (1/2) x 4 m x 10 m = 20 m²

Volume = (20 m² x 7 m) / 2 = 70 m³

b) When comparing the environmental impacts of each house, several factors need to be considered:

Positive impacts:

1. Material usage: Tiny houses use fewer materials, reducing resource consumption and waste generation.

2. Energy efficiency: Smaller living spaces require less energy for heating, cooling, and lighting, leading to lower energy consumption.

3. Land utilization: Tiny houses can be built on smaller plots of land, preserving green spaces and reducing urban sprawl.

Negative impacts:

1. Construction materials: Although tiny houses use less material overall, the environmental impact depends on the types of materials used. Sustainable and eco-friendly materials should be prioritized.

2. Water and waste management: Adequate provisions for water supply and waste disposal should be implemented to minimize environmental impacts.

3. Transportation: The transportation of tiny houses to their locations can contribute to carbon emissions if not done efficiently.

c) The choice of design for a tiny house depends on personal preferences and priorities. However, considering the provided information:

The house on the left offers a larger interior space of 126 m³, providing more room for living and storage. It may be suitable for individuals or couples who desire more space and functionality within their tiny house.

The triangular house has a smaller interior volume of 70 m³ but offers a unique design and aesthetic appeal. It may be preferred by individuals who prioritize a distinctive architectural style or who are looking for a minimalist and cozy living space.

Ultimately, the selection depends on individual needs, preferences, and the intended use of the tiny house. Factors such as lifestyle, desired amenities, and personal values regarding sustainability and resource conservation should be considered when making the final decision.

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Answer:

I think its the first one...

Step-by-step explanation:

Answer:

First one

Step-by-step explanation:

Answer:

0.21

Step-by-step explanation:

The type directions that lie in the (110) plane are Crystal planes are equivalent planes that represent a group of crystal planes with a common set of atomic indexes.

Crystallographers use Miller indices to identify crystallographic planes. A crystal is a three-dimensional structure with a repeating pattern of atoms or ions.In a crystal, planes of atoms, ions, or molecules are stacked in a consistent, repeating pattern. Miller indices are a mathematical way of representing these crystal planes.

Miller indices are the inverses of the fractional intercepts of a crystal plane on the three axes of a Cartesian coordinate system.Let us now determine which of the type directions lie in the (110) plane.[101] is not in the (110) plane because it has an x-intercept of 1, a y-intercept of 0, and a z-intercept of 1. So, this direction does not lie in the (110) plane.[110] is in the (110) plane since it has an x-intercept of 1, a y-intercept of 1, and a z-intercept of 0.

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Answer: y => 12

y is greater than or equal to 12

Step-by-step explanation:

So they give you the function of y = 2x + 4 and the domain of all real numbers is greater than or equal to 4.

In simple term, the domain is x => 4, x is greater than or equal to 4.

Using that we can substitute the x in the function by 4.

y = 2(4) + 4

y = 8 + 4

Which gave us the answer of 12.

Since the domain can be anything greater than 4 or 4. We can expect the

same for the range.

Then the range will be 12 or greater than 12. For example, 13, 14, 15, 16...

Ex. y = 2(5) + 4

y = 10 + 4

y = 14

Ex. y = 2(4.5) + 4

y = 9 + 4

y = 13

Answer:

Step-by-step explanation:

5

Answer:

Since there is a curve, I believe it is a function.

Large population can be represented in scientific notations

The population in 30 years time is 1.53 * 10^11

The current population is given as:

\(\mathbf{Population = 5.1 \times 10^{10}}\)

In 30 years time, the population would be 3 times more.

This means that, the population in 30 years time is: 3 multiplied by the current population.

So, we have:

\(\mathbf{New = 3 \times Population}\)

So, we have:

\(\mathbf{New = 3 \times 5.1 \times 10^{10}}\)

Multiply

\(\mathbf{New = 15.3 \times 10^{10}}\)

Rewrite as:

\(\mathbf{New = 1.53 \times 10^{11}}\)

Hence, the population in 30 years time is 1.53 * 10^11

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a. Probability of completing the exam in one hour or less is 0.0228. b. Probability of completing the exam in more than 60 minutes but less than 75 minutes is 0.2857. c. About 10 students are expected to be unable to complete the exam in the allotted time.

a. To find the probability of completing the exam in one hour or less, we need to convert one hour (60 minutes) into a z-score using the formula:

z = (x - μ) / σ

where x is the value we want to convert, μ is the mean, and σ is the standard deviation. So, we have:

z = (60 - 80) / 10 = -2

Using a standard normal distribution table or a calculator, we find that the probability of a z-score being less than or equal to -2 is 0.0228 (to 4 decimals). Therefore, the probability of completing the exam in one hour or less is 0.0228.

b. To find the probability that a student will complete the exam in more than 60 minutes but less than 75 minutes, we need to convert both values into z-scores:

z1 = (60 - 80) / 10 = -2

z2 = (75 - 80) / 10 = -0.5

Then, we can find the probability between these two z-scores using a standard normal distribution table or a calculator. The probability is:

P(-2 < z < -0.5) = P(z < -0.5) - P(z < -2)

= 0.3085 - 0.0228

= 0.2857 (to 4 decimals)

Therefore, the probability that a student will complete the exam in more than 60 minutes but less than 75 minutes is 0.2857.

c. We know that the mean time to complete the exam is 80 minutes and the standard deviation is 10 minutes. To find the number of students who will be unable to complete the exam in the allotted time of 90 minutes, we need to find the number of students whose completion time is greater than 90 minutes.

We can convert 90 minutes into a z-score using the formula:

z = (x - μ) / σ = (90 - 80) / 10 = 1

Using a standard normal distribution table or a calculator, we find that the probability of a z-score being greater than 1 is 0.1587.

So, the proportion of students who will be unable to complete the exam in 90 minutes is 0.1587. To find the actual number of students, we can multiply this proportion by the total number of students:

0.1587 x 60 ≈ 9.52

Therefore, we can expect about 10 students to be unable to complete the exam in the allotted time.

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To find the general solution of the differential equation y" - 2y = 2 tan^3 t, we need to first find the complementary solution, yc(t), which is the solution to the homogeneous equation y" - 2y = 0.

The characteristic equation for this homogeneous equation is r^2 - 2 = 0, which has roots r = ±√2. Therefore, the complementary solution is yc(t) = c1 e^(√2t) + c2 e^(-√2t), where c1 and c2 are constants determined by any initial conditions given.

Now, to find the particular solution yp(t), we can use the method of undetermined coefficients. Since the non-homogeneous term is 2 tan^3 t, we guess a solution of the form yp(t) = A tan^3 t, where A is a constant to be determined.

Taking the first and second derivatives of yp(t), we get yp'(t) = 3A tan^2 t sec^2 t and yp''(t) = 6A tan t sec^4 t + 6A tan^3 t sec^2 t.

Substituting these into the original differential equation, we get:

yp''(t) - 2yp(t) = 6A tan t sec^4 t + 6A tan^3 t sec^2 t - 2A tan^3 t = 2 tan^3 t

Simplifying and equating coefficients, we get:

6A = 2, or A = 1/3

Therefore, the particular solution is yp(t) = (1/3) tan^3 t.

The general solution is then the sum of the complementary and particular solutions:

y(t) = yc(t) + yp(t) = c1 e^(√2t) + c2 e^(-√2t) + (1/3) tan^3 t.

This is the general solution to the given differential equation.
To find the general solution of the given equation y'' - 2y = 2 tan^3(t), we'll first consider the homogeneous equation and then find the particular solution.

Step 1: Solve the homogeneous equation y'' - 2y = 0
The characteristic equation is r^2 - 2 = 0. Solving for r, we get r = ±√2. Therefore, the general solution of the homogeneous equation is:

yh(t) = C1 * e^(√2*t) + C2 * e^(-√2*t)

Step 2: Find the particular solution using the given yp(t) = tan(t)
We are given that yp(t) = tan(t) is a particular solution to the non-homogeneous equation y'' - 2y = 2 tan^3(t). This means that when we plug yp(t) into the equation, it should satisfy the equation.

Step 3: Find the general solution by adding the homogeneous and particular solutions
The general solution is the sum of the homogeneous solution and the particular solution:

y(t) = yh(t) + yp(t)
y(t) = (C1 * e^(√2*t) + C2 * e^(-√2*t)) + tan(t)

So, the general solution for the given equation y'' - 2y = 2 tan^3(t) is:

y(t) = C1 * e^(√2*t) + C2 * e^(-√2*t) + tan(t)

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Answer:

\(x=\frac{y-3}{4}\)

Step-by-step explanation:

\(y=4x+3\)

\(y-3=4x\)

\(\frac{y-3}{4}=x\)

\(x=\frac{y-3}{4}\)

Answer:

\(\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}\)

\(y = 4x + 3 \\ y - 3 = 4x \\ \frac {y - 3}{4} = x \)

⎆ The formula will be \(\hookrightarrow\boxed{\underline\frac {y - 3}{4}=x}\)

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Answer:

365/1,000 or .365

Step-by-step explanation:

HTH :)

Three hundred sixty five thousand in standard form is 365000.

The standard form of numbers is when we have to write the number in digits according to it's place and face value.

Word form of numbers is that when we have to write numbers given in numerical form to words by determining place and face value.

According to the given question we have to write  three thousand sixty five thousand in standard form.

We know thousand has three zeroes.Suppose we have to write one thousand in standard form which is 1000.

Given we have to write three hundred sixty five thousand in standard form which is 365000.

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Alice can be expected to win approximately 5 games out of the 7 games she plays.

If historically Alice wins 70% of the time, we can expect her to win 70% of the games she plays. If Alice and Bob play 7 games of chess, we can calculate how many games Alice can be expected to win by multiplying the total number of games (7) by the probability of Alice winning (70% or 0.7):

Expected number of games Alice wins = 7 * 0.7 = 4.9

Since we cannot have a fraction of a game, we can round the expected number of games Alice wins to the nearest whole number. Therefore, Alice can be expected to win approximately 5 games out of the 7 games she plays.

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To find q(z) and r(a) such that f(x) = g(x)g(x) + r(r), we need to factorize g(x) into its irreducible factors and divide f(x) by g(x).

The quotient q(z) will be the result of the division, and the remainder r(a) will be the remaining terms that cannot be divided evenly. We also need to ensure that r(a) is either 0 or has a degree less than the degree of g(x).

Given the functions f(x) = x+2+³+x+(3) and g(x) = x + ³+ [2]x² + [2] € Zs[r], we want to find q(z) and r(a) such that f(x) = g(x)g(x) + r(r).

First, we factorize g(x) into its irreducible factors. Without the explicit form of g(x), we cannot determine its factorization.

Next, we divide f(x) by g(x). The quotient q(z) will be the result of the division, and the remainder r(a) will be the terms that cannot be divided evenly.

To ensure that r(a) has either a degree of 0 or a degree less than the degree of g(x), we need to compare the degrees of r(a) and g(x).

Unfortunately, the given information does not provide sufficient details to determine the specific values of q(z) and r(a). Without the explicit form of g(x) and further information, we cannot proceed with the calculations.

Therefore, without additional information, we cannot provide a specific answer for q(z) and r(a) in this case.

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Answer:

Which quadratic equation models the main cable of the bridge correctly?

y = 0.048x2 – 2494

y = 0.048x2 – 6

y = 0.0048(x – 50)2 + 6 (This is correct)

y = 0.0048(x – 6)2 + 50

The value of a is 0.0048.

Given that,

The main cable of a suspension bridge forms a parabola described by the equation,

\(\rm y = a(x-50)^2+6\)

We have to find,

The value of a.

According to the question,

The given relationship between the variables x and y is,

\(\rm y = a(x-50)^2+6\)

In the given graph the points of the parabola are (30, 7.92), (50, 6), and (70, 7.92)

1. The value of an at the point (30, 7.92) is,

\(\rm y = a(x-50)^2+6\\\\7.92 = a (30-50)^2 +6\\\\7.92 = a(-20)^2 + 6\\\\7.92 = 400a +6\\\\7.92 -6 = 400a\\\\1.92 = 400a\\\\a = \dfrac{1.92}{400}\\\\a = 0.0048\)

2. The value of an at the point (70, 7.92) is,

\(\rm y = a(x-50)^2+6\\\\7.92 = a (70-50)^2 +6\\\\7.92 = a(20)^2 + 6\\\\7.92 = 400a +6\\\\7.92 -6 = 400a\\\\1.92 = 400a\\\\a = \dfrac{1.92}{400}\\\\a = 0.0048\)

3.  The value of an at the point (50, 6) is an infinite solution the value of a is not defined at the points.

Hence, The value of a is 0.0048.

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11. it IS a function

and the table shows the values of the domain and range

(-0.3,-6), (0.4, -3), (1.2, -1), (1.2, 4)

Answer:

13.4445 I think.

Step-by-step explanation:

Answer:

8.2 is your answer.

Step-by-step explanation:

first you would add 22 and 19 together to get 41

then you divide by 5 to get your answer 8.2

22+19=41÷5=8.2

Answer:

¡¡ Only

Step-by-step explanation:

-8-2x < - 4

-2x < - 4+8

-2x < 4

x > - 2

Answer:

Slope = (8/5)

y-intercept = -4

Step-by-step explanation:

See attached worksheet.

Answer:

120 = L+2W

LW =area.

to maximize area with given fencing that would make Width = 30 feet and length = 60

A= LW = (120-2W)W = 120W -2W^2

A' = 120-4W =0

W = 30

L=120-2(30) = 60 feet

W by L is 30 by 60 feet for max area

Answer:

X= 29 because it is a right angle, and all right angles are = to 90, so you subtract 61 from 90.Y= 29Z= 61

Step-by-step explanation:

Answer:

Step-by-step explanation:

Summation of all angles within a triangle is equal to 180 degrees.

y+61+90=180

Therefore, y = 180-61-90 = 29 degrees

61+x = 90

Therefore, x = 90-61 = 29 degrees

z+90+29 = 180

Therefore, z = 180 - 90 - 29 = 61 degrees

Answer:

Yes you can.

Step-by-step explanation:

If you are given two functions, you can combine them so the outputs of one function becomes the input of the other. After that, it's just a matter of doing the math. you are essentiall just doing f(g(x)) so yes, it should work with any two functions.