a basement bedroom must have a window with an opening area of at least 5.7 square feet per the international residential code. a rectangular basement window opening is 0.75 meters wide.Among the following heights, in meters, which is the smallest that will qualify the window opening per the code.

Answers

Answer 1

The smallest that will qualify the window opening per the code is 0.71

What is rectangular?

A quadrilateral with four right angles is a rectangle. It can alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal. A square is a rectangle with four equally long sides.

Here, we have

Given: a basement bedroom must have a window with an opening area of at least 5.7 square feet per the international residential code. A rectangular basement window opening 0.75 meters wide.

First, we convert square feet into square meters.

5.7 square feet = 0.53 square meters

Now,

0.53 / 0.75 = 0.71

Hence, the smallest that will qualify the window opening per the code is 0.71

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Related Questions

please help me I will give a brainlist

Answers

Answer:

(-7, 31)

Step-by-step explanation:

A cardboard box manufacturing company is building boxes with length represented by x + 1 width by 5-x and height by x-1

Answers

The volume of the cardboard box with given dimensions changes at the fastest average rate over the interval of option c. [1,5].

Length of the cardboard box = x + 1

Width of the cardboard box = 5 - x

Height of the cardboard box = x - 1

Volume of the box V (x) = length × width × height

Substitute the values we have,

V(x) = (x+1)(5-x)(x-1)

Expanding this expression gives,

V(x) = -x³ + 5x² + x - 5

To know where Volume is changing at the fastest average rate,

Find the maximum value of the absolute value of the derivative of V(x) over each of the given intervals.

Taking the derivative of V(x), we get,

V'(x) = -3x²+ 10x + 1

Taking the absolute value of this expression, we get,

|V'(x)| = 3x² - 10x - 1

Now, we can calculate the maximum value of |V'(x)| over each interval,

At [1,2]

|V'(1)| = 8

|V'(2)| = 9

[1,3.5]

|V'(1)| = 8

|V'(3.5)| = 0.75

[1,5]

|V'(1)| = 1

|V'(5)| = 24

[0,3.5]

|V'(0)| = 1

|V'(3.5)| = 0.75

The maximum value of |V'(x)| occurs on interval [1,5].

Therefore, the volume of the box is changing at the fastest average rate over the interval option c . [1,5].

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The above question is incomplete, the complete question is:

A cardboard box manufacturing company is building boxes with length represented by x + 1, width by 5 − x, and height by x − 1. the volume of the box is modeled by the function below. over which interval is the volume of the box changing at the fastest average rate?

a. [1,2]

b. [1,3.5]

c. [1,5]

d. [0,3.5]

Question 8(Multiple Choice Worth 2 points)
(Writing Two-Step Equations MC)

A new gaming chair costs $455.95. You have already saved $155.95 and earn $37.50 each week babysitting. Write and solve an equation to determine how many weeks, w, you must babysit to earn enough money to buy the new gaming chair.

37.5 + 155.95w = 455.95; w = 8
37.5w + 155.95 = 455.95; w = 8
37.5w − 155.95 = 455.95; w = 16
37.5w − 455.95 = 155.95; w = 16

Answers

37.5w + 155.95 = 455.95; where w = 8; signifies the number of weeks required to babysit the business in order to purchase the gaming chair.

How do equations work?

A mathematical formula that connects two expressions with the equals sign (=) expresses the equality of the two expressions. For instance, in English, an equation is any properly stated formula that consists of two expressions linked by the equals sign, whereas in French, an equation is described as containing one or more variables. To solve a variable equation, identify the values of the variables that cause the equality to hold true. The answer is known as the values of the variables that must satisfy the equality.

Equations can be categorized as identities or conditional equations.

w = (455.95-155.95)/(37.50)

=300/37.50

So, number of weeks = 8

As a result, w = 8 and 37.5w + 155.95 = 455.95 is the solution.

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Find length of curve the r = sin^2(θ/2),0<=θ<=μ, a>0.

Answers

The length of a curve C is given by the integral,

$\displaystyle\int_C\mathrm ds$

where the line element ds is

$\mathrm ds=\sqrt{\left(\dfrac{\mathrm dx}{\mathrm dt}\right)^2+\left(\dfrac{\mathrm dy}{\mathrm dt}\right)^2}\,\mathrm dt$

where $x=x(t)$ and $y=y(t)$ are parameterizations of C.

In this case, we have

$x(\theta)=r(\theta)\cos\theta$

$y(\theta)=r(\theta)\sin\theta$

Differentiate with respect to $\theta$ to get

$\dfrac{\mathrm dx}{\mathrm d\theta}=\dfrac{\mathrm dr}{\mathrm d\theta}\cos\theta-r(\theta)\sin\theta$

$\dfrac{\mathrm dy}{\mathrm d\theta}=\dfrac{\mathrm dr}{\mathrm d\theta}\sin\theta+r(\theta)\cos\theta$

$\dfrac{\mathrm dr}{\mathrm d\theta}=\sin\left(\dfrac\theta2\right)\cos\left(\dfrac\theta2\right)=\dfrac12\sin\theta$

So the arc length is

$\displaystyle\int_C\mathrm ds=\int_0^a\sqrt{\left(\dfrac12\sin\theta\cos\theta-\sin^2\left(\dfrac\theta2\right)\sin\theta\right)^2+\left(\dfrac12\sin\theta\sin\theta+\sin^2\left(\dfrac\theta2\right)\cos\theta\right)^2}\,\mathrm d\theta$

$=\displaystyle\int_0^a\sqrt{\sin^2\left(\dfrac\theta2\right)}\,\mathrm d\theta$

$=\displaystyle\int_0^a\sqrt{\frac{1-\cos\theta}2}\,\mathrm d\theta$

Make a frequency table using five classes.
class 31-38 39-46 47-54 55-62 63-70
f
11
24
15
7
3

Then estimate the mean and sample standard deviation using the frequency table. (Round s to two decimal places.)

Answers

Answer: C

Step-by-step explanation:

If (a, b) is the solution to the system of equations, what is the value of b?
a-2b=24
6b=80-a

A)7
B)14
C)19
D)38

Answers

Answer:

answer is 14 not sure but i tried

if it is right mark me as brainliest

A coin is thrown until a head occurs and the number X of tosses recorded. After repeating the experiment 256 times, we obtained the following results:x 1 2 3 4 5 6 7 8f 136 60 34 12 9 1 3 1Test the hypothesis, at the 0.05 level of signiﬁcance, that the observed distribution of X may be ﬁtted by the geometric distribution g(x ; 1 / 2), x=1,2,3

Answers

The hypothesis, at the 0.05 significance level,

H₀ : the observed distribution of X may be ﬁtted by the geometric distribution

Hₐ : the observed distribution of X may not be ﬁtted by the geometric distribution

we conclude p-Value > α so, cannot reject null hypothesis. The observed distribution of X may be ﬁtted by the geometric distribution g(x ; 1 / 2), x=1,2,3

A coin is thrown until a head occurs and the number X of tosses recorded.

The probability that head occur on toss ,p = 0.5

Consider the null and alternative hypothesis,

H₀ : the observed distribution of X may be ﬁtted by the geometric distribution

Hₐ : the observed distribution of X may not be ﬁtted by the geometric distribution

The chi square test statistic here as:

χ² = ∑( Oᵢ - Eᵢ)²/Eᵢ

where Oᵢ--> observed value

Eᵢ --> expected value

and the expected frequencies for each X here E(x) = P(X = x) = 256×g(x)

The probability mass function of geometric distribution with parameter 1/2 is g(x) = (1/2)(1 - 1/2)⁽ˣ⁻¹⁾

where x = 0, 1,2 ,3,......

Observed values are f :136 60 34 12 9 1 3 1

Using the data,we calculate the expected values

E₁ = P( x = 1) = 256×g(1) = 256×(1/2)(1/2)⁰

= 128

E₂ = P( x =2) = 256×g(2) = 256×(1/2)(1/2)¹

= 64

E₃ = P( x = 3) = 256×g(3) = 256×(1/2)(1/2)² = 32

E₄ = P( x = 4) = 256×g(4) = 256×(1/2)(1/2)³

= 16

E₅ = P( x = 5) = 256×g(5) = 256×(1/2)(1/2)⁴

= 8

E₆ = P( x = 6) = 256×g(6) = 256×(1/2)(1/2)⁵

= 4

E₇ = P( x = 7) = 256×g(7) = 256×(1/2)(1/2)⁶

= 2

E₈ = P( x = 8) = 256×g(8) = 256×(1/2)(1/2)⁷

= 1

Hence, χ² = ∑( Oᵢ - Eᵢ)²/Eᵢ

= (136 - 128)²/128 + (60 - 64)²/64 + (34 - 32)²/32 + (12-16)²/16 +(9 - 8)²/8 + (1 - 4 )²/4 + (3 - 2)²/2 +(1 - 1)²/1

= 0.5 + 0.25 + 0.125 + 1 + 0.125 + 2.25 + 0.5 =4.75

Significance level is α =0.05

Using the χ² table, the p- value for χ² is 0.6290 .. Now P value > 0.05 , therefore the test is not significant here and we cannot reject the null hypothesis here. Therefore we have sufficient evidence here that the frequencies given are fitted by the geometric (p = 0.5) distribution.

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A coin is thrown until a head occurs and the number X of tosses recorded. After repeating the experiment

Which can be represented using the product (50) × (-5) ?
O saving $5 each day for 50 days
O a submarine rising by 50 feet each hour for 5 hours
O earning $50 each month for 5 months
O an airplane losing altitude by 5 feet each second for 50 seconds

Answers

Answer: D

Step-by-step explanation:

Which of the trinomials below is a perfect square of a binomial?

Answers

Given:

Different squares equation are given

Required:

Which statement is true

Explanation:

$\begin{gathered} 16x^2-40x+25 \\ \\ (4x)^2-4\times5\times2x+(5)^2 \\ \\ (4x-5)^2 \end{gathered}$

$\begin{gathered} 9x^2-15x+25 \\ sorry\text{ factor cannot be possible of this term} \end{gathered}$

Required answer:

Option a

you may want to review (page) . for help with math skills, you may want to review: quadratic equations for general problem-solving tips and strategies for this topic, you may want to view a video tutor solution of time in the air for a tossed ball. part a how long is the ball in the air before it hits the ground? (the student moves her hand out of the way.)

Answers

It takes 0.7143 seconds for the ball in the air to hit the ground.

Therefore the answer is 0.7143 s.

The time it takes for the ball to hit the ground can be calculated using the formula for vertical motion with constant acceleration (g = 9.8 m/s²):

t = √(2 * h / g)

where h is the height the ball is thrown and t is the time it takes to hit the ground.

Plugging in the values to find time:

t = √(2 * 2.50 m / 9.8 m/s²)

t = √(0.51) s

t = 0.7143 s

So, the ball is in the air for approximately 0.7143 seconds before it hits the ground.

--The question is incomplete, answering to the question below--

"A student standing on the wall throws a ball straight up. The ball leaves the student's hands with a speed of 19.0 m/s when the hand is 2.50 m above the ground.

How long is the ball in the air before it hits the ground? (the student moves her hand out of the way.)"

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The graph of a quadratic function with vertex (0, 3) is shown in the figure below.

Answers

The domain of the function is (-∞, ∞.)

The range of the function is {3, ∞}.

We have,

From the given quadratic function,

We see that,

The x-values are -∞ to ∞

The y-values are from 3 to ∞

Now,

The x-values are called the domain.

The y-values are called the range.

Thus,

The domain of the function is (-∞, ∞.)

The range of the function is {3, ∞}.

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Siven the graph below, which of the following statements is true?
5+
4
3
2
--5-4-3-2-1₁
1 1 1
-2
-3-
1
Mark this and return
2 3 4 5 X
KEN
O The graph represents a one-to-one function because every x-value is paired with only one y-value.
O The graph represents a one-to-one function because it is defined for all x-values.
O The graph does not represent a one-to-one function because it does not pass through the origin.
Save and Exit
Next
1.-—-.~. --—————-
G

Siven the graph below, which of the following statements is true?5+432--5-4-3-2-11 1 1-2-3-1Mark this

Answers

old version of which the answer may be

Given the costs associated with insurance, why do companies provide insurance plans to employees?

Answers

Company should provide insurance policies to employees because the employees are assets to them.

What is meant by Insurance Policies?

An insurance policy is a contract between the insurance company and the person getting the insurance.

Employees are assets of a company.

Companies should look after by insuring this asset like any other asset.

Although it is not the only factor for an employee to stick to a company, it is also one of the contributing factor for the employees to stick to a company longer.

It is a very good benefit for the employee since the premium is paid by the employer for the employee.

Hence companies should provide insurance policies to employees.

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The functions f(x) = −(x − 1^)2 + 5 and g(x) = (x + 2)^2 − 3 have been rewritten using the completing-the-square method. Apply your knowledge of functions in vertex form to determine if the vertex for each function is a minimum or a maximum and explain your reasoning.

Answers

If we write a quadratic in vertex form:

$y=a(x-h)^2+k$

Then:

$\bold{a}$ $\longrightarrow$ is the coefficient of $x^2$

$\bold{h}$ $\longrightarrow$ is the axis of symmetry.

$\bold{k}$ $\longrightarrow$ is the max/min value of the function.

Also:

If $a > 0$ then the parabola will be of the form $\cup$ and will have a minimum value.

$a < 0$ then the parabola will be of the form $\cap$ and will have a minimum value.

For the given functions:

$a < 0$

$f(x)=-(x-1)^2+5$ this has a maximum value of $\bold{5}$

$a > 0$

$f(x)=(x+2)^2-3$ this has a minimum value of $\bold{-3}$

Here are the first terms of a sequence.

31,27,23,19,15

Find the first negative term in the sequence.

Answers

Answer:

-1

Step-by-step explanation:

continuing the sequence... 11, 7, 3, -1

-1 because you keep subtracting -4

Last week Scott ran 43 miles less than James. Scott ran 5 miles. How many miles did James run?
A. 35
B. 44
C. 38
D. 48

Answers

Answer:

D) 48

Step-by-step explanation:

Let s = Scott

Let j - James

s = 5

s + 43 = j Substitute 5 for s

5 + 43 = j

48 = j

what is fifty six and forty two hundredths in standard form?

Answers

Answer:

56.42

Step-by-step explanation:

Look at the words. Fifty six and forty two hundredths.

5 6 . 4 2

The Apollo space program lasted from 1967 until 1972 and included 13 missions.The missions lasted from as little as Z hours to as long as 30ours.The duration of each flight is listed below. 9 195 241 295 142% 142% 147 a.Expain why the flight times b.Find Mean and the Median of flight times c.Find range and the standard deviation of flight times

Answers

The mean and the median based on the information given will be 166.08 and 195.

How to calculate the value?

It should be noted that the mean is also the average. It's gotten by adding all the numbers and dividing by 13. This will be 166.08.

The median is simply the middle number. This will be 195.

The range will be:

= 301 - 7

= 294

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If the sides of a square measure 9 3units, then find the length of the diagonal.

Answers

I think it would be 12.7

Twenty percent of a town’s voters favor letting a major discount store move into their neighborhood, 63% are against it, and17% are indifferent. What is the probability that a randomly selected voter from this town will either be against it or be indifferent? Explain why this probability is not equal to 1.0.

Answers

The required probability is 0.8

What is probability?

Probability is a measure of the likelihood of an event occurring. The probability formula is defined as the possibility of an event happening is equal to the ratio of the number of favorable outcomes and the total number of outcomes. Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes.

Given here: Twenty percent of a town’s voters favor letting a major discount store move into their neighborhood, 63% are against it, and 17% are indifferent.

Thus total percentage of voters that are either against or be indifferent is equal to P( against or indifferent)=80%

=0.8

The probability is not equal to one because there is also percentage of voters that are in favour which accounts for 20%

Hence, The required probability is 0.8

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Pls help with number 7,8,9 and 10

Answers

The answers to all the subparts of the multiplication problem are shown:

185 × 24 = 44401288 × 33 = 425046301 × 47 = 2961473440 × 75 = 285000

What is multiplication?Multiplying in math is the same as adding equal groups. The number of items in the group grows as we multiply. Parts of a multiplication issue include the product, the two factors, and the product. The factors in the multiplication problem 6 x 9 = 54 are the numbers 6 and 9, and the product is the number 54.

So, multiplication of the numbers:

185 × 24 = 44401288 × 33 = 425046301 × 47 = 2961473440 × 75 = 285000

(Refer to the images attached below for calculations)

Therefore, the answers to all the subparts of the multiplication problem are shown:

185 × 24 = 44401288 × 33 = 425046301 × 47 = 2961473440 × 75 = 285000

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Can I please get some help I’ve been stuck on this question for a while!

Answers

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

How many minutes of the ride are spent higher than 28 meters above the ground?

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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Enter the percent as a decimal. 32%

Answers

Answer:

.32

Step-by-step explanation:

When converting percents to decimals, drop the percent sign, and move the decimal two places to the left.

~theLocoCoco

What is the range of F?

Answers

Answer:

A should be right :)

Answer:

I think D as that's the highest point

Step-by-step explanation:

I think D as that's the highest point

U have to work out the value of a by the way

Answers

Answer:

Step-by-step explanation:

180-90=2b+b

90=3b

90/3=b

30=b

2b=2*30

=60

180-90=a+a

90=2a

a=90/2

a=45

the answer is 45 degrees

hope it helps!!let me know if it does

Answer:

a= 15°

Step-by-step explanation:

> use the fact that the sum of angles in a triangle is 180°

> based on the picture in the small right triangle we have b° +2b° +90° =180°

b +2b +90 =180° , combine like terms

3b +90 = 180, subtract 90 from both sides of the equation

3b = 90, divide by 3 both sides of the equation

b = 30°

> angle b has a ray that continues as a line so it makes an 180° angle and we have the acute triangle so we can write that

a + a+ (180-b) =180, substitute b

2a + 180-30 =180, subtract 180 from both sides, and add 30 to both sides

2a=30, divide by 2 both sides

a= 15°

A bakery sells loaves of handmade French bread for $6 each and loaves of multigrain
bread for $8 each. The bakery eams, on average, $240 in revenue per day from the
sale of the French and multigrain breads.

Answers

Answer:

well if the breads both sell the same number of loaves for each type the you add 6 and 8 which is 14 divide it by 240 and you get ruffly 17 loaves per day.

Step-by-step explanation:

If A is a set{x,y,z} what is the power set, P(A)?

Answers

The power set P(A) is P(A) = { {}, {x}, {y}, {z}, {x,y}, {x,z}, {y,z}, {x,y,z} }

How to determine the power set P(A)

The power set of a set A is the set of all subsets of A, including the empty set and A itself.

For the set A = {x, y, z}, the possible subsets are:

Empty set: {}Set containing only x: {x}Set containing only y: {y}Set containing only z: {z}Set containing x and y: {x, y}Set containing x and z: {x, z}Set containing y and z: {y, z}Set containing x, y, and z: {x, y, z}

Therefore, the power set of A, denoted P(A), is:

P(A) = { {}, {x}, {y}, {z}, {x,y}, {x,z}, {y,z}, {x,y,z} }

Answers

Answer:

$5.24\mathrm{cm}$

Step-by-step explanation:

$\mathrm{Solution:}\\\mathrm{Given:}\\\mathrm{Angle\ subtented\ by\ arc\ MT}(\theta)=100^o=\frac{5}{9}\pi^c\\\mathrm{Length\ of\ arc\ MT}(l)=?\\\mathrm{Radius\ of\ circle}(r)=3cm\\\mathrm{Now,}\\\mathrm{\theta=}\frac{l}{r}\\\mathrm{or,\ }l=\theta r=\frac{5}{9}\pi\times3=\frac{5}{3}\pi=5.24\mathrm{cm}$

PLSSS HELP ME 14 POINTS

Answers

The transformation of f(x) to g(x) is :

Vertically compressed by a factor of 9Shifted down by 2

Describing the transformation of the functions

From the question, we have the following parameters that can be used in our computation:

The functions f(x) and g(x)

Where, we have

f(x) = x

g(x) = 1/9x - 2

The graph of the functions f(x) and g(x) are added as an attachment

And we have the transformations to be:

Vertically compressed by a factor of 9Shifted down by 2

Answers

Answer:

(8x-3)/12

Step-by-step explanation:

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