a small apartment has a 11ft by 10ft bedroom, a 5ft by 6ft bathroom, and a single multi-use 12ft by 16ft living room/kitchen. what is the total square footage (area) of the apartment?

The table with the scale measurements is given by the image shown at the end of the answer.

The measurements are obtained applying the proportion given for each table.

The symbols are given as follows:

For the first table, we have that every inch on the table represents one feet in real life, hence:

For the second table, we have that every inch on the paper represents two feet in real life, hence the measurements are given as follows:

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Using the value of ∫01x3+1dx obtained above, we can approximate the value of∫0.50x3+1dx as:Simpson's Rule ∫abf(x)dx≈b−a3n[f(a)+2∑i=12n−1f(ai)+4∑i=14n−1f(xi)+f(b)]≈15[0+2{(13)3+1}+4{(14)3+1}+13+3]≈0.7828Therefore, the solution to part b at x=0.5 to three decimal places is approximately equal to 0.7828.

The solution to part b at x

=0.5 to three decimal places using Simpson's Rule with n

=4 is given as follows:Approximate the value of∫01x3+1dx, with Simpson's Rule using n

=4 subintervals.Simpson's Rule formula for integrating a function, f(x), with n subintervals is given as:Simpson's Rule ∫abf(x)dx≈b−a3n[f(a)+2∑i

=12n−1f(ai)+4∑i

=14n−1f(xi)+f(b)]where h

=(b−a)n and xi

=a+ih for i

=1,2,3,...,n.Substituting a

=0, b=1, f(x)

=x3+1, and n

=4 in Simpson's Rule formula:∫01x3+1dx≈14[0+2{(13)3+1+(23)3+1}+4{(14)3+1+(34)3+1}+13+3]≈1.1354The value of ∫01x3+1dx is approximately equal to 1.1354, using Simpson's Rule with n

=4 subintervals. We want to approximate the solution to part b at x

=0.5 to three decimal places. Using the value of ∫01x3+1dx obtained above, we can approximate the value of∫0.50x3+1dx as:Simpson's Rule ∫abf(x)dx≈b−a3n[f(a)+2∑i

=12n−1f(ai)+4∑i

=14n−1f(xi)+f(b)]≈15[0+2{(13)3+1}+4{(14)3+1}+13+3]≈0.7828Therefore, the solution to part b at x

=0.5 to three decimal places is approximately equal to 0.7828.

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Answer:

Step-by-step explanation:

Since the swimming pool is cylindrical, we would find its volume by applying the formula for determining the volume of a cylinder which is expressed as

Volume = πr²h

Where

r represents radius of the cylinder

h represents height

π = constant = 3.14

From the information given,

Diameter = 12 feet

Radius, r = diameter/2 = 12/2 = 6 feet

h = 4 feet

Volume = 3.14 × 6² × 4 = 452.16ft³

Since 1 cubic foot is approximately 7.48 gallons, the number of gallons of water that the swimming pool can contain is

452.16 × 7.48 = 3382.16 gallons

Answer:

it is b :) on edge

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

took the test

Answer:

(C) 10200m

Step-by-step explanation:

Dizem-nos na pergunta que um homem de negócios tem um espaço retangular de 100 m por 750 m para correr.

O primeiro passo é calcular o perímetro do retângulo.

Perímetro de um rectângulo = 2 (Comprimento × Largura)

Da pergunta,

Comprimento = 100m

Largura = 750m

Perímetro do rectângulo = 2 ( 100 + 750)

= 2(850)

= 1700m

Perímetro do rectângulo = 1700m

Somos questionados na pergunta para determinar quantos metros (Distância) um atleta viajou que tem apenas 6 voltas ao redor das extremidades do espaço.

A distância total percorrida pelo atleta ao correr é calculada como:

6 × perímetro do rectângulo.

= 6 × 1700

= 10200m

Quantos metros percorreu um atleta que deu apenas 6 voltas pelas extremidades do espaço = 10200

The transformation given as A(-8,7) → A'(-8,-7) represents a reflection over x-axis .

In the reflection of the point (x,y) over x-axis transformation ,the x-coordinate of each point remains the same, but the y-coordinate is negated (changes sign).

Let's consider the coordinates of point A that is  (-8, 7).

The transformation takes this point to A' (-8, -7).

We can see that the x-coordinate of the point remains the same which is -8. but , the y-coordinate changes from 7 to -7.

We know that in a reflection over the x-axis, the x-coordinate remains the same while the y-coordinate changes sign.

Therefore , the transformation that takes A to A' is a reflection over the x-axis.

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The given question is incomplete , the complete question is

Identify the Transformation given as A(-8,7) → A'(-8,-7)?

The equation can be used to determine t, the weight of the textbooks is t = 0.7w

Given:

let

Total weight = w

Weight of notebook = n

Weight of backpack = b

Weight of textbook = t

w = n + b + t

where

n = 4 pounds

b = 2 pounds

t = 0.7w

So

w = 4 + 2 + 0.7w

w - 0.7w = 4 + 2

0.3w = 6

w = 6/0.3

w = 20

Recall,

t = 0.7w

= 0.7(20)

= 14 pounds

Therefore, the weight of the textbook is 14 pounds

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When selecting true claims, you might opt for those that were first made in the narrative and are not adamant declarations. All things considered, the evidence strongly suggests that the 1930s were the beginning of the Great Depression.

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Answer:c

Step-by-step explanation:

The procedure which is deemed to be the type of sample in discuss is; representative sample are free of bias.

Representative sampling and random sampling are two techniques used to help ensure data is free of bias. A representative sample on the other hand is a group or set chosen from a larger statistical population according to specified characteristics. A random sample is a group or set chosen in a random manner from a larger population.

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Answer:

x = 12, y = 60

Step-by-step explanation:

We have parallel lines, so alternate interior angles are congruent.

6x + 3 = 75

6x = 72

x = 12

The interior angles of a triangle add up to 180 degrees.

45 + 75 + y = 180

120 + y = 180

y = 60

3 sec x - 2 = 1

Add 2 to both sides

3 sec x = 1+ 2

3 sec x = 3

divide both sides by 3

sec x = 3/3

sec x = 1

Answer:

(1/3) - 9 + 7 = 14x - 13x

-5/3 = x

The company should use a warranty period that is equal to 67,467.5 miles.

To determine the warranty period, we need to find the value of the tire life that corresponds to 95% of the tires. We can use the standard normal distribution table to find the value of the z-score that corresponds to the 95th percentile. This value is approximately 1.645.

Now, we can use the formula for the normal distribution to find the tire life value that corresponds to the z-score of 1.645. This formula is:

X = μ + zσ

Where X is the tire life value, μ is the mean of the distribution (65,000 miles), z is the z-score (1.645), and σ is the standard deviation of the distribution (1500 miles).

Plugging in the values, we get:

X = 65,000 + 1.645(1500)

X = 67,467.5

This means that 95% of the tires will have a life of at least 67,467.5 miles.

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Answer:

840π

Step-by-step explanation:

To calculate the surface area of a cylender, do S=2(π)*radius*height.

2(π)*12*35 = 840 π

Answer: The price of the apartment lies in the range of $1300 to $1800

Step-by-step explanation: Because Carlos doesn't exactly know how much  he'll make at his new job but he knows the range will be between 3000$ and 4000$ we will use inequality to solve this problem.

Let the rent on the new apartment = r

let monthly pay of Carlos = x

Given, apartment related fees = 200$

Given he is willing to use half of his monthly pay for rent and apartment related fees combined.

∴rent + apartment related fees = Monthly pay / 2

⇒\(r + 200 = \frac{x}{2}\)

⇒\(x=2*(r+200)\)

⇒\(x=2r+400\)                                                (1)

Given Carlos' monthly pay is in the range of $3000 to $4000

∴\(3000\leq x\leq 4000\)

⇒\(3000\leq (2r+400)\leq 4000\)                             (from equation (1))

⇒\(3000-400\leq 2r+400-400\leq 4000-400\)     (subtracting 400)

⇒\(2600\leq 2r\leq 3600\)

⇒\(\frac{2600}{2}\leq \frac{2r}{2}\leq \frac{3600}{2}\)                                           (dividing by 2)

⇒\(1300\leq r\leq 1800\)                                           (2)

ANS: The apartment lies in the price range of $1300 to $1800 as given by equation (2)

here is a problem solved using inequality

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Answer:

No

Step-by-step explanation:

y=7x

21=7(2)

21=14

It is not since the values are not equal.

Brainliest? :o

No, the pair of coordinates (2,21) is not a solution for the equation; y=7x

According to the question;

Hence, by testing the coordinates in the equation; y=7x, we have;

Hence, since the equation above is not true, the pair of coordinates is not a solution of the equation.

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Approximately 6,570 tons of aluminum need to be recycled each year.

To calculate the number of tons of aluminum that need to be recycled each year, we can follow these steps:

Determine the number of soft drink cans consumed per person per year:

Since each person consumes one can every two days, they consume 365/2 = 182.5 cans per year.

Calculate the total number of cans consumed in the United States per year:

Multiply the number of cans consumed per person per year by the total population:

182.5 cans/year/person * 270 million people = 49,275 million cans/year.

Convert the weight of the cans to tons:

Since each can weighs 1/15 pound, we need to convert it to tons. There are 2000 pounds in a ton, so 1/15 pound is equivalent to (1/15) / 2000 = 0.00013333333333333333 tons.

Calculate the total weight of aluminum cans in tons:

Multiply the total number of cans by the weight of each can in tons:

49,275 million cans/year * 0.00013333333333333333 tons/can = 6,570 tons/year.

Therefore, approximately 6,570 tons of aluminum need to be recycled each year to account for the consumption of soft drink cans in the United States.

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Answer:

o 10.2 , I just took the test.

For a data set with an odd number of observations that have been sorted from smallest to largest values, the median is located at \(\frac{x+1}{2}\)

Given,

The conditions

We know,

Median is the middle number of ordered data set.

Consider the number of observations as x

Then the median is located at \(\frac{x+1}{2}\)

Hence, for a data set with an odd number of observations that have been sorted from smallest to largest values, the median is located at \(\frac{x+1}{2}\)

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Answer: The square roots, cube roots, etc., of natural numbers are irrational numbers

Step-by-step explanation: if their exact values cannot be obtained. of doesn't exist. A non-terminating and non-recurring decimal is an irrational number.

The value of the length of side UX for the right triangle formed by sides tangent to the circle is equal to 3.4 using the Pythagoras rule.

The Pythagoras rule states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. 

The side XV is perpendicular to the side UV tangent to the circle, which makes the triangle a right triangle.

so by evaluation we derive the value for the hypotenuse UX as follows;

UX = √(3² + 1.6²)

UX = √(9 + 2.56)

UX = √11.56

UX = 3.4

Therefore, the length of side UX for the right triangle is equal to 3.4 using the Pythagoras rule.

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Answer:

3

Step-by-step explanation:

The average rate of change of h(x) in the closed interval [ a, b ] is

\(\frac{h(b)-h(a)}{b-a}\)

Here [ a, b ] = [ 1, 2 ] , then

h(b) = h(2) = 0 ← from table for x = 2

h(a) = h(1) = - 3 ← from table for x = 1 , then

average rate of change = \(\frac{0-(-3)}{2-1}\) = \(\frac{0+3}{1}\) = 3

Answer:

Step-by-step explanation:

$10585

Answer:

  y = -1/500x² +2/5x

Step-by-step explanation:

You want the equation for the path of a football that is thrown 200 m downfield and reaches a maximum height of 20 m.

The initial height is not given. The equation is much more easily written if we assume it is zero, or we assume the launch height is the same height at which the ball is caught.

We know the maximum height is reached halfway between the launch point and the final point of interest. Then we're required to write the equation of a parabola that passes through the points (0, 0), (100, 20), and (200, 0).

Since we know the x-intercepts, we can write the equation as ...

  y = ax(x -200)

Then all we have to do is find the value of 'a' so the equation has (100,20) as a solution.

  20 = a(100)(100 -200) = -10000a

  a = -1/500 . . . . . divide by -10000

The equation of the path of the football is ...

  y = (-1/500)(x)(x -200)

  y = -1/500x² +2/5x

__

Additional comment

When x=185, y = -1/500(185)(185 -200) = 15/500(185) = 5.55 . . . meters

The domain is [0, 200]; the range is [0, 20].

To achieve that distance and height, the football would need to be thrown at a speed in excess of 119 miles per hour. For comparison, the fastest baseball pitch ever thrown was 108.1 miles per hour.

Miss Austin is covering the topic of central tendency in statistics, specifically the mean. By giving her class 6 sets of data and asking them to identify which one can be most accurately summarized by the mean, she is testing their understanding of how the mean represents the average value of a set of data.

This also involves understanding how to calculate the mean and interpret its value in relation to the other values in the dataset. Therefore, Miss Austin is helping her class develop skills in data analysis and statistical reasoning. The use of the term "set" is not clear, but assuming it means "sets of data," it is relevant to the topic being covered.

Miss Austin is covering the topic of "Descriptive Statistics" in her class. Specifically, she is focusing on the concept of "mean" as a measure of central tendency to summarize data sets. By asking her students to identify which data set can most accurately be summarized by the mean, she is teaching them how to understand the appropriateness of using the mean for different sets of data.

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Answer:

Step-by-step explanation:

To solve for x, we use both given variables:

\(6x+5=3x+13\\6x-3x=13-5\\3x=8\\x=8/3\)

Hope this helped! Have a good day.