URGENT! HELP PLEASE :))
(Q3)

A family is planning to rent a house for summer vacation. The family is undecided on whether to travel to Orlando, Tampa, or Miami. The following table shows the number and type of house available in each location.


City 1-Bedroom 2-Bedroom 3-Bedroom
Orlando 6 9 25
Tampa 24 12 18
Miami 17 13 21


Which of the following matrices represents the number of each type of house available in Tampa?
A) Matrix with 3 rows and 1 column consisting of elements 6, 24, and 17.
B) Matrix with 3 rows and 1 column consisting of elements 9, 12, and 13.
C) Matrix with 1 row and 3 columns consisting of elements 6, 9, and 25.
D) Matrix with 1 row and 3 columns consisting of elements 24, 12, and 18.

Answer:

A) y = 2x + 3

Step-by-step explanation:

when x is 2 and y is 7:

y = 2(2) + 3

y = 4 + 3

y = 7

This goes for the other values as well

Answer I think it is A

Step-by-step explanation:  

2 x 2 = 4 + 3 = 7

2 x 3 = 6 + 3 = 9

2 x 4 = 8 + 3 = 11

The maximum and minimum values of the given function will be equal to -1.47 and -6.52.

The 2nd equation in x is known as a quadratic function. ax² + bx + c = 0 is the quadratic equation in standard form, wherein there a and b are the coefficient, x is the constant, and c is the constant.

As per the equation given in the question,

f(x) = x² + 8x + 9.6

D = b² - 4ac

= 8² - 4(1)(9.6)

D = 25.6

Now, find the roots,

-(b ± √D)/2a

-(8 ± 5.05)/2

So, the roots are,

-(8 + 5.05)/2 = -1.47,  (x + 1.47)

-(8 - 5.05)/2 = -6.52,  (x + 6.52)

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ANSWER

A reflection over the x-axis.

EXPLANATION

Both triangles are at the same distance from the x-axis: 1 unit. Triangle DEF has the same size as triangle ABC, but its position is upside-down. Therefore, triangle ABC was reflected over the x-axis to obtain triangle DEF.

The work done in lifting the lower end of the chain to the ceiling so that it is level with the upper end is 250 ft-lb.

The work done in lifting the lower end of the chain to the ceiling can be calculated using the formula for work, which is given by:

Work = force x distance

In this case, the force is the weight of the chain, which is 25 lb, and the distance is the length of the chain, which is 10 ft.

So, the work done in lifting the lower end of the chain to the ceiling is:

Work = 25 lb x 10 ft

Work = 250 ft-lb

Therefore, the work done in lifting the lower end of the chain to the ceiling so that it is level with the upper end is 250 ft-lb.

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The work done in lifting the lower end of the chain to the ceiling so that it is level with the upper end is 125 ft-lb.

The work done in lifting the lower end of the chain to the ceiling so that it is level with the upper end is 125 ft-lb.

To find the work done in lifting the lower end of the chain to the ceiling, we need to consider the average weight of the chain as it is being lifted.

1. First, find the weight per foot of the chain:Weight of chain = 25 lbLength of chain = 10 ftWeight per foot = (25 lb) / (10 ft) = 2.5 lb/ft2.

Determine the average weight being lifted:Since you're lifting the chain from one end, the average weight you're lifting is half of the chain's total weight.

Average weight = (25 lb) / 2 = 12.5 lb3. Calculate the work done:Work done = Force x DistanceForce = Average weight = 12.5 lbDistance = Length of chain = 10 ftWork done = (12.5 lb) x (10 ft) = 125 ft-lb

So, the work done in lifting the lower end of the chain to the ceiling so that it is level with the upper end is 125 ft-lb.

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Therefore, the volume is increasing at a rate of about 56548.19 mm³/s when the diameter is 60 mm.

We are given that the radius of a sphere is increasing at a rate of 5 mm/s.

We need to find how fast the volume is increasing when the diameter is 60 mm using the formula

V = (4/3)πr³

where r is the radius of the sphere.

We know that diameter is twice the radius so,

r = d/2 = 60/2 = 30 mm

Differentiating the formula V = (4/3)πr³ using Chain Rule, we get

dV/dt = 4πr² (dr/dt)

Put the values, we get

dV/dt = 4π(30)² (5)

dV/dt = 18000π mm³/s

dV/dt ≈ 56548.19 mm³/s (rounded to two decimal places)

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The magnitude and the direction of the resultant are approximately 57.871 and 198.676°.

Vectors are elements with two given characteristics: Magnitude and direction. A resultant is derived from the sum of vectors, the magnitude is the norm of a vector and the direction is the orientation of a vector. The resultant and its characteristics are described below:

\(\vec r = \left(\sum\limits_{i=1}^{n}x_{i}, \sum\limits_{i=1}^{n}y_{i}\right)\)     (1)

\(\|\vec r\| = \sqrt{\left(\sum\limits_{i=1}^{n} x_{i}\right)^{2}+\left(\sum\limits_{i=1}^{n} y_{i}\right)^{2}}\)   (2)

\(\theta = \tan^{-1}\frac{\sum\limits_{i=1}^{n}y_{i}}{\sum\limits_{i=1}^{n}x_{i}}\)   (3)

Where \(\theta\) is resultant angle, measured in degrees.

If we know that \(\|\vec u\| = 90\), \(\theta_{u} = 40^{\circ}\), \(\|\vec v\| = 60\), \(\theta_{v} = 20^{\circ}\), \(\|\vec w\| = 40\) and \(\theta_{w} = 30^{\circ}\), then the resultant, its magnitude and its direction:

\(\vec r = (-90\cdot \cos 40^{\circ}-60\cdot \sin 20^{\circ}+40\cdot \cos 30^{\circ}, 40\cdot \sin 30^{\circ}+60\cdot \cos 20^{\circ}-90\cdot \sin 40^{\circ})\)

\(\vec r = (-54.824, 18.531)\)

\(\|\vec r\| = \sqrt{(-54.824)^{2}+18.531^{2}}\)

\(\|\vec r\| \approx 57.871\)

\(\theta = \tan^{-1} \left(\frac{18.531}{-54.824}\right)\)

\(\theta \approx 198.676^{\circ}\)

The magnitude and the direction of the resultant are approximately 57.871 and 198.676°. \(\blacksquare\)

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Answer:

The rule for the linear function wil be:

Step-by-step explanation:

We know that linear function can be represented using the slope-intercept formula

y = mx+b

where m is the slope and b is the y-intercept

Given the function is linear

Taking two points

Finding the slope between (0, 0) and (1, 1)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

                 =  [1 - 0] / [1 - 0]

                 = 1 / 1

                 = 1

Thus, the slope of the line = m = 1

We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = 0

Thus, the y-intercept b = 0

Now, substituting m = 1 and b = 0 in the slope-intercept form of linear function

y = mx+b

y = (1)x + 0         ∵ m = 1, b = 0

y = x

f(x) = x     ∵

Therefore, the rule for the linear function wil be:

The correct answer is :Yes, λ=8 is an eigenvalue of 47 7 One corresponding eigenvector is A. -32 4 (Type a vector or list of vectors. Type an integer or simplified fraction for each matrix element.) The corresponding eigenvector is A= [ 7/8; 1].

Given matrix is:

47 7-32 4

The eigenvalue of the matrix can be found by solving the determinant of the matrix when [A- λI]x = 0 where λ is the eigenvalue.

λ=8 , Determinant = |47-8 7|

= |39 7||-32 4 -8|  |32 4|

λ=8 is an eigenvalue of the matrix [47 7; -32 4] and the corresponding eigenvector is:

A= [ 7/8; 1]

Therefore, the correct answer is :Yes, λ=8 is an eigenvalue of 47 7

One corresponding eigenvector is A. -32 4 (Type a vector or list of vectors. Type an integer or simplified fraction for each matrix element.)

The corresponding eigenvector is A= [ 7/8; 1].

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Answer:

c

Step-by-step explanation:

Answer:the answer is 90

Step-by-step explanation:

Answer:

Because StartFraction pi Over 1 EndFraction = StartFraction C 2 Over 2 r EndFraction , C 2 = 2 r pi

Step-by-step explanation:

because i got it right

Answer:

A. Because StartFraction pi Over 1 EndFraction = StartFraction C 2 Over 2 r EndFraction

Step-by-step explanation:

Just took the quiz on Edg (2021)!!

A process is said to be out of control if proportion of defective lies outside the control limits. Since 8% and 7% are outside our upper control limit (UCL) So, 2 batches are defective.

Given that,

100-piece batches of canned soup are produced by Company X. They estimate that there are 2% faulty soup cans in circulation.

We have to find how many of the 3%, 8%, 1%, 2%, and 7% defective can percentages in the five batches fell beyond the higher or lower control limits for the percentage of defective soup cans in the batch.

We know that,

LCL= p-3√(p(1-p)/n)

=0.02-3√(0.02(1-0.02)/100)

=-0.022

Since probability can not be negative.

LCL=0

UCL= p-3√(p(1-p)/n)

=0.02-3√(0.02(1-0.02)/100)

=0.062

Therefore. A process is said to be out of control if proportion of defective lies outside the control limits. Since 8% and 7% are outside our upper control limit (UCL) So, 2 batches are defective.

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Answer:

x = 1

5 x 1 = 5 + 10 = 15

Step-by-step explanation:

Answer: X= 1

Step-by-step explanation: you would do 15 - 10 = 5

then you would do 5x times 5 which would equal 25

Answer:

Yes, because 2/8 = 1/4, 3/12 = 1/4, 4/16 = 1/4, and 5/20 = 1/4.

The counselor would get 24 because 6/24 = 1/4

Step-by-step explanation:

Answer:

yes its proportional

Step-by-step explanation:

2x4=8

3x4=12

4x4=16

5x4=20

sorry im not very good at explaining it but basically you just have to figure out if they can all get multiplied by the same number to get the number thats to the right of them

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The precipitate is formed when :

Answer:

\(f(t) = 7.23( {1.0114}^{t} )\)

t = 0 represents January 1, 2014

(a)

\(f(6) = 7.23( {1.0114}^{6} ) = 7.739\)

The population of the world is expected to be about 7.739 billion people on January 1, 2020.

(b)

\(7.23( {1.0114}^{t} ) = 10\)

\(t = about \: 28.61 \: years\)

The population of the world is expected to be 10 billion people in about 28.61 years after January 1, 2014 (sometime in August 2042).

Answer:

4.4 cm

Step-by-step explanation:

Arc length = 2*pi*r*(central angle) / 360

Arc length = 2*(22/7)*3.5*(72/360)=4.4 cm

When analyzing categorical data, it is often useful to examine the relationship between two variables. Crosstabs, or contingency tables, are commonly used to display the counts of observations in each combination of the two variables. However, these raw counts can be difficult to interpret, especially if the totals for each variable are different.
By transforming the counts into percentages of row or column totals, we can better understand the patterns and relationships in the data. Percentages allow us to compare the proportions of one variable within each category of the other variable, regardless of the total number of observations. This can help us identify any trends or patterns in the data that may not be immediately apparent from the raw counts.

For example, suppose we have a crosstab of gender and favorite color. The raw counts may show that more females than males prefer blue, but it's difficult to know if this difference is meaningful without knowing the total number of males and females in the sample. By transforming the counts to percentages of row totals, we can see that 40% of females prefer blue, while only 30% of males do. This suggests that there may be a relationship between gender and favorite color.

Overall, transforming raw counts into percentages of row or column totals can help us better understand the relationship between two categorical variables, especially when the totals are different.

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Answer:

Yes, roughly 70%

Step-by-step explanation:

I would say that the percentage of all American movie-goers that think this would be around the 70% mark. This is based on the recent poll findings. That is because the poll inquiry was done on 100 randomly selected American movie-goers. Therefore, since it is a random selection from the same population then that makes it directly proportional to the overall population, this is assuming that the overall population is the same (American movie-goers)

We must calculate the standard deviation of the differences between the values in the matched pairs in order to build a confidence interval using those values.

The 95% confidence interval is another frequently used measure of accuracy. In order to calculate it, a range of values that is 95% likely to contain the true population mean must be created using the standard deviation.

According to the 68-95-99.7 Rule, 95% of values are within two standard deviations of the mean, so to calculate the 95% confidence interval, one need only add and deduct two standard deviations from the mean.

Data dispersion in relation to the mean is quantified by a standard deviation, or σ. Data are said to be more closely clustered around the mean when the standard deviation is low and more dispersed when the standard deviation is high.

The difference between the values in the matched pairs' standard deviation is calculated.

The complete question is:

To construct a confidence interval using matched pairs, we must compute the standard deviation of the ___ between the values in the matched pairs.

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We must calculate the standard deviation of the differences between the values in the matched pairs in order to build a confidence interval using those values.

What is the difference between standard deviation and confidence interval?

The 95% confidence interval is another frequently used measure of accuracy. In order to calculate it, a range of values that is 95% likely to contain the true population mean must be created using the standard deviation.

According to the 68-95-99.7 Rule, 95% of values are within two standard deviations of the mean, so to calculate the 95% confidence interval, one need only add and deduct two standard deviations from the mean.

Data dispersion in relation to the mean is quantified by a standard deviation, or σ. Data are said to be more closely clustered around the mean when the standard deviation is low and more dispersed when the standard deviation is high.

The difference between the values in the matched pairs' standard deviation is calculated

To construct a confidence interval using matched pairs, we must compute the standard deviation of the ___ between the values in the matched pairs.

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According to the fundamental theorem of algebra, the polynomial function that has exactly 11 roots is f (x) = (x minus 1) (x 1) superscript 11

This is a function that is known to be a quadratic function or other forms of functions that have only noninteger powers in the value of x.

The variables that are contained may be of different degrees. Therefore the best answer to the question is option A.

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If the equation Ax = y does not have a solution, it means that the vector y is not in the column space of matrix A. In other words, y cannot be expressed as a linear combination of the columns of A.

Now, let's consider the equation Ax = z, where z is another vector in R³. For this equation to have a unique solution, it means that every vector z in R³ can be expressed as a linear combination of the columns of A.

In other words, the column space of A must span the entire R³.

If the original equation Ax = y does not have a solution, it means that the columns of A do not span the entire R³.

Therefore, there exists at least one vector z in R³ that cannot be expressed as a linear combination of the columns of A.

This implies that the equation Ax = z does not have a unique solution for all vectors z in R³.

In summary, if the equation Ax = y does not have a solution, it implies that the equation Ax = z does not have a unique solution for all vectors z in R³.

The lack of a solution for Ax = y indicates that the columns of A do not span R³, and thus, there will always be vectors z that cannot be expressed uniquely as a linear combination of the columns of A.

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Answer: 30

Step-by-step explanation:

Given

Polyhedron has (E)58 edges

It has same number of faces and vertices

Using Euler's formula

\(\Rightarrow V-E+F=2\)

where

V=no of vertices

E=no of edges

F=no of edges

Suppose there are x faces

Insert the values

\(\Rightarrow x-58+x=2\\\Rightarrow 2x=60\\\Rightarrow x=30\)

Thus, polyhedron has 30 faces.

Answer:

30

Step-by-step explanation:

Answer:

Step-by-step explanation:

=============================================================

Explanation:

This value of w is larger than 30, so it makes w > 30 true.

At the same time, this value of w is not smaller than 70, so it makes w < 70 false.

If a value of w makes an inequality true, then we consider it a solution.

Put another way: if w = 100, then w > 30 becomes 100 > 30 which is true while w < 70 becomes 100 < 70 which is false.

You can pick any value you want for the answer as long as it's 70 or larger. We can pick w = 70 because w < 70 becomes 70 < 70 which is false. A number cannot be smaller than itself.

In terms of the graph, you can pick any value that is to the right of 70 or at the location of 70.

Answer:

1.26 feets

Step-by-step explanation:

Given the following :

Vertex (0, 0)

Focus of reflector = 6 feets

Extension = 5.5 feets

Equation to obtain conic section of a parabola:

(x - h)² = 4p(y - k)

Vertex (0, 0)

h =0 ; k = 0, p = 6, x = 5.5

(5.5 - 0)² = 4*6(y - 0)

30.25 - 0 = 24(y - 0)

30.25 = 24y

y = 30.25 / 24

y = 1.26

Hence, depth of reflector = 1.26 feets

Jackson's gross monthly income for 40 hours per week is approximately $3,201.70 and gross annual income s $38,480.

To find Jackson's gross monthly income, we first need to find his gross weekly income.

Jackson's hourly wage is $18.50, so his weekly gross income for 40 hours of work is:

40 hours/week x $18.50/hour = $740/week

Calculate annual income:

To determine the gross annual income, we need to consider how many weeks there are in a year. Assuming 52 weeks in a year:

Annual income = Weekly income * Number of weeks in a year

Annual income = $740 * 52 = $38,480

To find Jackson's gross monthly income, we can multiply his weekly gross income by the number of weeks in a month (approximately 4.33):

$740/week x 4.33 weeks/month ≈ $3,201.70/month

Therefore, Jackson's gross monthly income for 40 hours per week is approximately $3,201.70.

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Answer:

a= 0.6

Step-by-step explanation:

This is the answer...........

Answer:

It is reciprocal.

A = 0.6

Step-by-step explanation:

Reciprocal” means “equality,”

To find the A. Use APE or Additive Property of Equality

-2. 7 = a - 3.3

-2.7 + 3.3 =  a

0. 6 = a

Equation of a Circle: (x - h)^2 + (y - k)^2 = r^2

---Center = (h, k)

---Radius = r (this value will need to be squared in the final answer)

Center = (-3, -6)

---h = -3

---k = -6

Radius = 4

Equation: (x + 3)^2 + (y + 6)^2 = 16

Correct Answer: A

Hope this helps!