ashley’s house and the public Library are plotted on the coordinate plane as shown.What is the distance between Ashely’s house and the public library to the nearest tenth

Answer:

Solve with the Quadratic Formula

Let's solve your equation step-by-step.

(3x)2+4x+1=0

Step 1: Simplify both sides of the equation.

9x2+4x+1=0

For this equation: a=9, b=4, c=1

9x2+4x+1=0

Step 2: Use quadratic formula with a=9, b=4, c=1.

x=

−b±√b2−4ac

2a

x=

−(4)±√(4)2−4(9)(1)

2(9)

x=

−4±√−20

18

Answer:

No real solutions.

Step-by-step explanation:

I did my best

Answer: 899.998434785 times more than the loser.

The probability that their hospital stay is greater than 6 days is equal to 0.67724 and the probability that their hospital stay is from 5 to 6 days is equal to 0.108

Mean (μ) = 7.37

Standard deviation (σ) = 3

we need to calculate probability that their hospital stay is from 5 to 6 days i.e.

⇒ P(5 < X < 6) = P(X < 6)-P(X < 5)

Here we will use standard normal distribution where,

Z-score = (X -μ )/ σ = (6 - 7.37)/3 = -0.46

Z-score = (5 - 7.37)/3 = -0.79

from Z table we found p-value

⇒P(5<X<6) = P(X<6) - P(X<5) = 0.32276 - 0.21476 = 0.108

So there is 0.108 probability that their hospital stay is from 5 to 6 days.

we need to calculate probability that their hospital stay is greater than 6 days i.e.

We get: P(X > 6) = 1 − P(X < 6)

Here we will use standard normal distribution where,

Z-score = (X - μ)/σ = (6 - 7.37)/3 = -0.46

from Z table we found p-value

P(X > 6) = 1 - P(X<6) = 1 - 0.32276 = 0.67724

So there is 0.67724 probability that their hospital stay is greater than 6 days.

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The cost for children meal is $16 and the.cost for adult meal is $26.

Let cost of adult meal = a

Let cost of child meal = c

Lexi plans to have 63 adults and 59 children attend, so the total projected cost of her meals is $2,582.This will be:

63a + 59c = 2582 ...... i

Raymond has 63 adults and 93 children on her guest list, so he will pay the caterer $3,126. This will be;

63a + 93c = 3126 ...... ii

Collect both equations

63a + 59c = 2582 ...... i

63a + 93c = 3126 ...... ii

Subtract i from ii

34c = 544

Divide

c = 544 / 34

c = 16

The cost of children meal is $16.

From equation i, 63a + 59c = 2582

63a + 59(16) = 2582

63a + 944 = 2582

Collect like terms

63a = 2582 - 944

63a = 1638

a = 1638/63

a = 26

Adult meals is $26.

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Answer:

1/5, 30%, 0.8, 4/3

The volume of the sphere is 4/3 times the volume of the cylinder.

It is a shape of a Christmas tree where there is a base of radius r and a top point called the apex.

We have,

The volume of the cone is 1/3 the volume of a cylinder.

The volume of a cone is given as:

V = (1/3)πr²h ____(1)

The volume of a cylinder is given as:

V = πr²h _____(2)

From (1) and (2) we get,

(1/3)πr²h = 1/3 πr²h

The volume of a sphere:

V = 4/3 πr³

Since the height of the sphere and the radius is the same we can have

V = 4/3πr²h

So,

Volume of sphere = 4/3 x πr²h

The volume of the sphere = 4/3 x the Volume of the cylinder.

Thus,

The volume of the sphere is 4/3 times the volume of the cylinder.

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The Probability that that the molecule will move to the opposite side is 50%  .

In the question ,

it is given that

there a molecule is free to move to the opposite side of the container , or stay where where it is ,

As per the given information

the molecule can move to opposite side or stay where it is ,

and the movement of the molecule is random

as the container had two sides ( shown in figure given below )

the probability that the molecule moves to the opposite side is 1/2 ,

in percent it can be written as 50%  .

the correct option is (c) .

Therefore , The Probability that that the molecule will move to the opposite side is 50%  .

The given question is incomplete , the complete question is

Assume that movement of a molecule is limited. it can move to the opposite side of the container or stay where it is. if the movement is random, what is the probability (0-100%) that the molecule will move to the opposite side?

(a) 0%

(b) 25%

(c) 50%

(d) 100%

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The two linear equations are perpendicular.

Here we have the two linear equations:

12y - 4x = 84

y = -3x + 8

If we write both of them in the slope-intercept form (as the second one) we will get:

12y - 4x = 84

12y = 4x + 84

y = (4x + 84)/12

y = (1/3)*x + 7

Now, if we take the product of the slopes of the two lines, we get:

p = -3*(1/3) = -1

when this product is -1, the lines are perpendicular, so that is the relation between our lines.

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Answer: 55

Step-by-step explanation: 180-78 to get the complementary angle. 180-157 to get complementary angle. 180-102+23 to get the last angle inside the triangle. 180-125 and get 55

Answer:

37

Step-by-step explanation:

Use PEMDAS, in this case, start with multiplication: (2)(-7), don't forget there is a minus sign in front of the two which is important later, then move on to dividing (-9) by (-3). Then you are left with 20-(-14)+3, which is the same as 20+14+3, which equals 37.

Answer :- 60 cm^2

Step-by-Step Solution :-

Let ABCD be the Rectangle.

Given :

AD = 12 cm

BD = 13 cm

To Find : Area of ABCD

Solution :

In ∆ADB,

AD = 12 cm and BD = 13 cm

By Pythagoras Theorem,

(BD)^2 = (AD)^2 + (AB)^2

13^2 = 12^2 + (AB)^2

169 = 144 + (AB)^2

AB^2 = 169 - 144 = 25

AB = √25

Therefore, AB = 5 cm

Now, to find the Area,

Area of Rectangle = length × breadth

Area of ABCD = 12 × 5

Therefore, Area of ABCD = 60 cm^2

An accountant’s ethical code of conduct represents the moral values, principles, and rules that accountants should have.

The ethical codes of conduct of AICPA and IFAC are the two main codes most countries adopt to guide their members on how to deal with accounting information from an ethical perspective.

The fundamental principles within the Code – integrity, objectivity, professional competence and due care, confidentiality, and professional behavior – establish the standard of behavior expected of a professional accountant (PA) and it reflects the profession’s recognition of its public interest responsibility.

The common thing in all accounting codes of conduct is that "they all go into great detail on the responsibilities of accountants."

Therefore, the correct option is OPTION

Answer:

203.5

Step-by-step explanation:

just divide 814 by 4

Answer:

203.5 miles per day

Step-by-step explanation:

divide 814 by 4= 203.5

Answer:

x = 2

Step-by-step explanation:

The Question was:
7x + 14 = 28

Subtract 14 from both sides.

7x = 28 − 14

Subtract 14 from 28 to get 14.

7x = 14

Divide both sides by 7.

x = 14/7

​

Divide 14 by 7 to get 2.

x = 2

Answer:

x=2

Step-by-step explanation:

To solve a question like that, we have to isolate the variable.

What is the variable? A variable is a letter partaking in an equation that is in place of a number or solution that makes the equation true.

In this case, the variable is x.

To isolate the variable, we must do the opposite action that is being done to the number.

For example, if a number was added to one side by 28, we can subtract both sides by 28 so it negates the addition and does not alter the original equation.

7x+14=28                We can subtract the 14 on both sides to negate the                                -14  -14                     addition.

7x=14                      Divide each side by 7 to isolate x.

x=2

The result of the expression given is 3x - 3

To solve this problem, we have to simplify the equation, and write the expression.

Given that

[tex]\sqrt{x^2}+ 2x -3[/tex]

For every square root having a square inside, they both cancel out each other to have the variable only.

Lets apply that in this expression

[tex]\sqrt{x^2} + 2x - 3\\x + 2x - 3[/tex]

To solve the expression, we would have the final answer to the question.

[tex]x + 2x - 3\\3x - 3[/tex]

The value of the expression given is 3x - 3

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The function is power function. The power of the function is -3, the constant of variation is k, and the independent variable is d.

In this question, we have been given a function y = k/d³

We need determine whether function is power function or not.

We know that, a power function is of the form y = x ^n where n is any real number.

We can write given function as,

y = k × d^(-3)

Given that, k represents a constant.

Here, the value of y depends on the value of d.

So, d is an independent variable and y is dependent variable.

also, the power of given function is -3

Therefore, the function is power function. The power of the function is -3, the constant of variation is k, and the independent variable is d.

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A low standard deviation implies that the data exists grouped around the mean, whereas a large standard deviation indicates that the data exists  more dispersed.

The term "standard deviation" (or "σ") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data exists grouped around the mean, whereas a large standard deviation indicates that the data exists  more dispersed.

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

Because it aids in comprehending measurements when the data is scattered, standard deviation is significant. The standard deviation of the data will be higher the more evenly dispersed the data is.

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Answer:

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

Find the midpoint of the segment and its slope to determine the perpendicular line passing through the midpoint.

The midpoint has coordinates:

The slope:

We know perpendicular lines have opposite/reciprocal slopes.

So the slope of the perpendicular bisector is:

Use the coordinates of the midpoint and point-slope equation to determine the line:

Answer:

[tex]y=-\dfrac{5}{2}x+9[/tex]

Step-by-step explanation:

A perpendicular bisector is a line that intersects another line segment perpendicularly and divides it into two equal parts.

Given endpoints of the line segment:

Substitute the given endpoints into the slope formula to find the slope of the line segment:

[tex]\implies \textsf{Slope $m$}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{6-2}{7-(-3)}=\dfrac{4}{10}=\dfrac{2}{5}[/tex]

If two lines are perpendicular to each other, their slopes are negative reciprocals.  

Therefore, the slope of the perpendicular line is -⁵/₂.

Find the midpoint of the given line segment by substituting the given endpoints into the midpoint formula:

[tex]\implies \textsf{Midpoint}=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)[/tex]

[tex]\implies \textsf{Midpoint}=\left(\dfrac{7-3}{2},\dfrac{6+2}{2}\right)[/tex]

[tex]\implies \textsf{Midpoint}=\left(\dfrac{4}{2},\dfrac{8}{2}\right)[/tex]

[tex]\implies \textsf{Midpoint}=\left(2,4\right)[/tex]

To find the equation of the perpendicular bisector, substitute the found slope and midpoint into the point-slope form of a linear equation:

[tex]\implies y-y_1=m(x-x_1)[/tex]

[tex]\implies y-4=-\dfrac{5}{2}(x-2)[/tex]

[tex]\implies y-4=-\dfrac{5}{2}x+5[/tex]

[tex]\implies y=-\dfrac{5}{2}x+9[/tex]

Therefore, the equation for the perpendicular bisector of the line segment whose endpoints are (-3, 2) and (7, 6) is:

[tex]\boxed{y=-\dfrac{5}{2}x+9}[/tex]

It is not reasonable to use a normal model for the sampling distribution of the sample because the data doesn't meet the success or failure consideration.

The sample has a size of 50 students. The probability that she guesses that about 10% of the class goes is 10%

This will be illustrated as:

1 - p = 1 - 10% = 1 - 0.10 = 0.90

np = 50 × 0.1 = 5. This implies the number of successes.

In this case, the number of successes is less than 10. This is because 5 is less than 10. Therefore, the data doesn't meet the condition.

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A polynomial function of degree 3 with real coefficients and given zeros of -3, -1, and 4 is 4(x - 4)(x + 3)(x + 1) for which f(-2) = 24.

Any modifying value connected to a variable through multiplication is referred to as a "coefficient." Any non-imaginary number is a "real" number

How do you locate a degree 3 polynomial with real coefficients?

A polynomial of degree 3 must take the form a(xr1)(xr2)(xr3) since it has three roots. We are provided with the roots 3, 1, and 4. So, all we have to do is change these to r1, r2, and r3. We now get a(x+3)(x+1)(x4).

We must first factor the provided polynomial equation into a linear and quadratic equation in order to obtain the roots of the three-degree polynomial. The zeros of the three-degree polynomial can then be easily found.

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If Avery is in the business of manufacturing phones. The equation for C, in terms of p, representing total cost, in dollars, of producing pp phones in a given day is: 100p + 300.

Given data:

Labor and materials cost = $100

Numbers of phones = 3

Total cost = $600

Where,

P = Total cost

The equation for C in terms of p is:

100p + 300

Now let determine the total cost

Total cost = $600 + ( 3 × $100)

Total cost = $600 $300

Total cost =$600

Therefore 100p + 300 is the equation.

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When q = -17, the value of the equation, q - 7 would be: d. -24.

If we are given an equation to evaluate for a given value of a variable, we are to substitute the value of the variable into the equation and solve or simplify.

For example, if an equation is given as 3x + 4, and we are told that the x = 3, to determine the value of the equation, 3x + 4, substitute x = 3 into the equation as:

3(3) + 4

= 9 + 4

= 13

Here, we can now conclude that the value of the equation is 13.

Given the equation, q - 7, to find the value of the equation when q = -17, substitute the value of q into q - 7.

Therefore:

q - 7 = -17 - 7

= -24.

The value of the equation is: d. -24.

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The value of q - 7, when q = - 17 is - 24.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, q = - 17.

∴ q - 7.

To solve our expression we'll substitute the numerical value of q in the given expression.

= (-17) - 7.

= - 17 - 7.

= - 24.

We can also take negative sign common in the second step and distribute them later.

- 17 - 7.

= - (17 + 7).

= - (24).

= -24.

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Answer:

The amount invested at 8% was $11,000

The amount invested at 9% was $19,000

Step-by-step explanation:

Let the variable x represent the amount in $ invested at 8% and let y be the amount in $  invested at 9%

Total amount invested:
x + y = 30000   [1]

8% = 8/100 = 0.08

9% = 9/100 = 0.09

Interest at 8% on $x = 0.08x

Interest at 9% on $x = 0.09x

Total Interest :

0.08x + 0.09y = 2590  [2]

Using equations [1] and [2] we can solve for x and y

We have

x + y = 30000   [1]
0.08x + 0.09y = 2590  [2]

Multiply equation 1 by 0.08 to get
0.08x + 0.08y = 0.08(30,000)

0.08x + 0.08y = 2,400  [3]

Subtract [3] from [2] :

0.08x + 0.09y = 2590  
-
0.08x + 0.08y = 2400  
----------------------------------
       0x + 0.01y = 190

Divide both sides by 0.01
0.01y/0.01 = 190/0.01

y = = 19,000

Use [1] to get value of x

x + y = 30,000

x + 19,000 = 30,000

x = 30,000 - 19,000

x = 11,000

ANSWER

EXPLANATION

We want to find the probability that the average of all participants in the study was fewer than 10,200 breaths each night.

To do this, first, we have to find the z-score corresponding to the sample mean:

where x = sample mean

μ = population mean

σ = standard deviation

n = sample size

Therefore, the z-score is:

Now, using the standard normal table, we can find P(z < 1.01).

Therefore, the probabilityis:

That is the answer.

Solution

Given that

Area f small square = 40 inches squared.

Let the side of the large square be L

Since the large square has sides that are 8 times longer than the small square

=> L = 8l

Hence, the area of Large square is;

Hence, the area of the large square is: 256 inches squared.

Based on the highest common factor, the number of kids that can decorate 30 pumpkins equally and make scarecrows from the materials without leftovers is 5.

The highest common factor (HCF) is the number that can divide between 30 and 36 without a remainder.

                          Pumpkins      Materials

Units                       30                 36

HCF                          6                   6

Average used          5                  6

Thus, dividing 30 and 36 by their HCF of 6, respectively, shows that 5 kids can decorate the 30 pumpkins using 6 materials each to make the scarecrows.

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The number of kids who can decorate 30 pumpkins equally and make scarecrows from the materials without leftovers would be; 5.

factorization is the method of breaking a number into smaller numbers that multiplied together will give that original form.

The highest common factor (HCF) is defined as the number which can divide between 30 and 36 without a remainder.

Given that they have 30 to decorate and 36 sets of material to make mini scarecrows.

Their HCF is 6. The averages used are 5  and 6 respectively.

Hence, their HCF of 6, shows that 5 kids can decorate the 30 pumpkins by using 6 materials each to make the scarecrows.

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The point-slope equation of this line is y - 7 = -7(x + 5).

Mathematically, the point-slope form of a line is given by this equation:

y - y₁ = m(x - x₁)

Where:

Next, we would determine the slope of this line by using this formula:

Slope, m = Δy/Δx

Slope, m = (y₂ - y₁)/(x₂ - x₁)

Substituting the given parameters into the formula, we have;

Slope, m = (0 - 7)/(-4 + 5)

Slope, m = -7/1

Slope, m = -7

At point (-5, 7), the point-slope equation of the line is given by:

y - y₁ = m(x - x₁)

y - 7 = -7(x - (-5))

y - 7 = -7(x + 5)

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Complete Question:

Complete the point-slope equation of the line through (-5, 7) and (-4, 0). Use exact numbers.

The value of x is -4 and the value of y is -3.

What is linear equations?

An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation.

The linear equation's graph is a straight line.

The given system of linear equations is,

8x + 8y = -56         ...(1)

4x + 10y = -46        ...(2)

Divide equation (1) by 2, we get

4x + 4y = -28        ...(3)

Multiply equation (3) by -1

-4x - 4y = 28        ...(4)

Adding equations (2) and (4),

  4x + 10y = -46

+ -4x - 4y = 28

____________________

        6y = -18

y = -3

Substitute y = -3 in equation (1) and simplify, we get

x = -4.

Therefore, the value of x is -4 and the value of y is -3.

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