what is 86,503 written in expanded form​

Answer:

y = -1x -2

Step-by-step explanation:

[] First, we can tell it is negative because it is going from top-left to bottom-right

[] Next, it intercepts the y-axis at -2, so our b is -2

[] Last, since it is graphed, we can use "rise over run"

       () We move down one and to the right one, this becomes 1/1, which becomes a slope of 1, so our m is -1 since it is negative

Now let's plug our pieces in

Slope-intercept form is y = mx + b

y = mx + b

y = (-1)x + b

y = -1x -2

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

The statement, When two events are disjoint, they are also independent is false.

In a sample space, we can use probability laws to determine the probabilities of these events and how they relate to each other. Disjoint Events: Two events are non-overlapping or mutually exclusive if they have no common outcome. Mathematically, this can be written as, P(B ∩ A) = 0 --(1)

Independent Events: Events are independent when they do not "affect" the probability of another event occurring. Mathematically written as:

P(B/A) = P(B) P(A and B)

=> P(B ∩ A) = P(B) × P(A) --(2)

(1) ) and (2) events cannot be independent unless they overlap. That is, if events do not overlap, they are also dependent. Hence, disjoint events are not independent that means the above statement is false.

To learn more about Disjoint events, refer :

https://brainly.com/question/14634231

#SPJ4

Engineers can be held most morally blameworthy for foreseeable harms resulting from technological innovations, engineers have a responsibility to anticipate the potential consequences of their work,

and to take steps to mitigate those consequences. If they fail to do so, and their work results in harm, they can be held morally blameworthy. When engineers develop new technologies, they have a responsibility to consider the potential consequences of their work.

They need to think about how their technology could be used, and whether it could be used to harm people or the environment.

They also need to consider how their technology could be misused, and what steps they can take to prevent misuse.

If engineers fail to consider the potential consequences of their work, and their work results in harm, they can be held morally blameworthy. This is because they have a duty to protect the public from harm, and they have failed to fulfill that duty.

For example, engineers who develop new weapons systems have a responsibility to consider the potential consequences of their work. They need to think about how their weapons could be used,

and whether they could be used to kill or injure innocent people. They also need to consider how their weapons could be misused, and what steps they can take to prevent misuse.

If engineers fail to consider the potential consequences of their work, and their weapons are used to kill or injure innocent people, they can be held morally blameworthy. This is because they have a duty to protect the public from harm, and they have failed to fulfill that duty.

It is important to note that engineers cannot be held morally blameworthy for unforeseeable harms. This is because they did not have the opportunity to anticipate the harm, and they could not have taken steps to prevent it.

For example, engineers who develop new medical treatments cannot be held morally blameworthy if the treatments have unforeseen side effects. This is because the engineers did not have the opportunity to anticipate the side effects, and they could not have taken steps to prevent them.

In conclusion, engineers can be held morally blameworthy for foreseeable harms resulting from technological innovations.

This is because they have a responsibility to anticipate the potential consequences of their work, and to take steps to mitigate those consequences.

To know more about  Engineers click here

brainly.com/question/30592664

#SPJ11

Answer: im pretty sure its 14 divided by 79 soo 0.17?

if not im sorry

use your brain tho:)

hope this helps you

Therefore, the long-run aggregate supply curve is a vertical line that is not influenced by changes in aggregate demand or short-run economic conditions.

The long-run aggregate supply curve is represented by the vertical line at the potential output level, which indicates that in the long run, the economy will produce at its full capacity without any increase in inflation or decrease in unemployment.

In other words, the long-run aggregate supply curve is not affected by temporary fluctuations in prices or output levels, and instead represents the economy's natural rate of output in the absence of any short-term disturbances. Therefore, the long-run aggregate supply curve is a vertical line that is not influenced by changes in aggregate demand or short-run economic conditions.

To know more about long-run aggregate visit:-

https://brainly.com/question/14804835

#SPJ11

Answer:

a. Yes it's a proportional relationship. It is because Distance is travelled uniformly.

b. Unit is m/min^2.

c. It means he is travelling in meters with minutes counting how far he have travelled.

Hope this helped. Dont forget to give thanks.

The two-way table which correctly records the information in the picture is Option C.

Two-way Tables are used to record the outcome of binary responses for two given variables. The variables here are Winter and Fruit. The response could either be Yes(Y) or No(N).

One way to correctly record data on a two-way table is the orientation of the variables in the table. Do you like winter? is oriented vertically while Do you like Fruits? is oriented horizontally.

The total number of responses for Do you like winter? would sum up vertically to give 20 while the total number of responses for Do you like Fruits would sum up horizontally to give 20.

Learn more on two-way tables : https://brainly.com/question/29257874

#SPJ1

Answer:

B

Step-by-step explanation:

(x+5)^2

x^2+10x+25

(y+3)^2

y^2+6y+9

then it would be

x^2+10x+34+y^2+6y

subtract 34-36 since ur moving 36 to the left

where u get -2

so ur final equation would be x^2+y^2+10x+6y-2=0

\(\boxed{\sf x = \dfrac{c}{b} \quad or \quad \dfrac{-b}{a}}\)

Explanation:

Given expression: (ab)x^2 + (b^2 - ac)x + (-bc) = 0

Here given:

Apply quadratic formula:

\(\sf x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \quad when \ ax^2 + bx + c = 0\)

Insert values:

\(\sf x = \dfrac{-(b^2 - ac) \pm \sqrt{(b^2 -ac)^2-4(ab)(-bc)} }{2(ab)}\)

\(\sf x = \dfrac{-b^2 + ac \pm \sqrt{\left(b^2-ac\right)^2+4abbc} }{2ab}\)

\(\sf x = \dfrac{-b^2 + ac \pm \sqrt{b^4+2b^2ac+a^2c^2} }{2ab}\)

\(\sf x = \dfrac{-b^2 + ac \pm \sqrt{\left(b^2+ac\right)^2} }{2ab}\)

\(\sf x = \dfrac{-b^2 + ac \pm( b^2+ac )}{2ab}\)

\(\sf x = \dfrac{-b^2 + ac +( b^2+ac )}{2ab} \quad or \quad \dfrac{-b^2 + ac -( b^2+ac )}{2ab}\)

\(\sf x = \dfrac{2ac}{2ab} \quad or \quad \dfrac{-2b^2}{2ab}\)

\(\sf x = \dfrac{c}{b} \quad or \quad \dfrac{-b}{a}\)

Apply quadratic formula:

\(\sf x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \)

\(\\ \sf\Rrightarrow x = \dfrac{-(b^2 - ac) \pm \sqrt{(b^2 -ac)^2-4(ab)(-bc)} }{2(ab)}\)

\(\\ \sf\Rrightarrow x= \dfrac{-b^2 + ac \pm \sqrt{\left(b^2-ac\right)^2+4abbc} }{2ab}\)

\(\\ \sf\Rrightarrow x = \dfrac{-b^2 + ac \pm \sqrt{b^4+2b^2ac+a^2c^2} }{2ab}\)

\(\\ \sf\Rrightarrow x = \dfrac{-b^2 + ac \pm \sqrt{\left(b^2+ac\right)^2} }{2ab}\)

\(\\ \sf\Rrightarrow x = \dfrac{-b^2 + ac \pm( b^2+ac )}{2ab}\)

\(\\ \sf\Rrightarrow x = \dfrac{-b^2 + ac +( b^2+ac )}{2ab} \quad or \quad \dfrac{-b^2 + ac -( b^2+ac )}{2ab}\)

\(\\ \sf\Rrightarrow x = \dfrac{2ac}{2ab} \quad or \quad \dfrac{-2b^2}{2ab}\)

\(\\ \sf\Rrightarrow x = \dfrac{c}{b} \quad or \quad \dfrac{-b}{a}\)

Answer:

150 dived by 6=$25/hr

Step-by-step explanation:

i cant graph on here so srry

Analysts use financial ratios rather than absolute numbers because ratios provide a more meaningful and comparative assessment of a company's financial performance.

Ratios allow for a standardized comparison between companies of different sizes and industries, facilitating a better understanding of their financial health, operational efficiency, and profitability.

Furthermore, ratios enable analysts to evaluate a company's performance over time and benchmark it against industry averages and competitors. Some examples of commonly used financial ratios include the current ratio, return on equity (ROE), and earnings per share (EPS).

Current Ratio: The current ratio measures a company's ability to meet its short-term obligations. It is calculated by dividing current assets by current liabilities. For example, if a company has current assets of $500,000 and current liabilities of $250,000, the current ratio would be 2 ($500,000 / $250,000). A higher current ratio indicates a stronger liquidity position, suggesting the company is better equipped to meet its short-term financial obligations.

Return on Equity (ROE): ROE measures a company's profitability relative to its shareholders' equity. It is calculated by dividing net income by average shareholders' equity and multiplying by 100 to express it as a percentage. For instance, if a company has a net income of $1 million and average shareholders' equity of $10 million, the ROE would be 10% ($1 million / $10 million * 100). A higher ROE signifies better profitability and efficient utilization of shareholders' capital.

Earnings per Share (EPS): EPS indicates the profitability of a company on a per-share basis. It is calculated by dividing net income attributable to common shareholders by the weighted average number of outstanding shares. For example, if a company has a net income of $5 million and 10 million weighted average shares outstanding, the EPS would be $0.50 ($5 million / 10 million). A higher EPS implies higher profitability for each share held by investors.

Financial ratios provide valuable insights into a company's financial performance and facilitate better comparisons and analysis. Absolute numbers alone may not convey the same level of meaningful information or allow for easy comparisons between companies. Ratios allow analysts to assess a company's financial health, profitability, liquidity, efficiency, and other key aspects relative to industry peers and historical performance.

They help identify trends, strengths, weaknesses, and potential investment opportunities or risks. While absolute numbers provide essential context, ratios offer a standardized framework for evaluation and decision-making, making them a preferred tool for financial analysis.

To know more about ratios, visit;
https://brainly.com/question/12024093
#SPJ11

a) Events A (even number) and B (4 or smaller) are not independent.

b) Events B (4 or smaller) and C (3 or larger) are not independent.

To determine the independence between events, we need to check if the probability of their intersection is equal to the product of their individual probabilities. Let's analyze each case:

a) Are events A (even number) and B (4 or smaller) independent?

The event A consists of the outcomes {2, 4, 6}, and the event B consists of the outcomes {1, 2, 3, 4}. To check independence, we compare the probabilities.

P(A) = 3/6 = 1/2 (since there are 3 favorable outcomes out of 6 possibilities)

P(B) = 4/6 = 2/3 (since there are 4 favorable outcomes out of 6 possibilities)

P(A ∩ B) = 2/6 = 1/3 (since there are 2 outcomes common to both A and B, which are 2 and 4)

To determine independence, we check if P(A ∩ B) = P(A) × P(B).

1/3 ≠ (1/2) × (2/3)

Since the equation does not hold, events A and B are not independent.

b) Are events B (4 or smaller) and C (3 or larger) independent?

The event B consists of the outcomes {1, 2, 3, 4}, and the event C consists of the outcomes {3, 4, 5, 6}.

P(B) = 4/6 = 2/3 (since there are 4 favorable outcomes out of 6 possibilities)

P(C) = 4/6 = 2/3 (since there are 4 favorable outcomes out of 6 possibilities)

P(B ∩ C) = 2/6 = 1/3 (since there are 2 outcomes common to both B and C, which are 3 and 4)

To determine independence, we check if P(B ∩ C) = P(B) × P(C).

1/3 ≠ (2/3) × (2/3)

Since the equation does not hold, events B and C are not independent.

In conclusion:

a) Events A (even number) and B (4 or smaller) are not independent.

b) Events B (4 or smaller) and C (3 or larger) are not independent.

for such more question on independent

https://brainly.com/question/25223322

#SPJ8

Answer:

The first one and the last one are true (Since −6 is 6 units to the left of 0, |−6|=6 and −6 is closer to zero on the number line than −7, so |−6|<|−7|.)

Step-by-step explanation:

Absolute value is the distance to zero, and it is always positive. That means the positive and negative versions of a number have the same absolute value. That means the first one is true, and the second and third ones are false. For the last one, -6 is closer to zero, so that means it would be true (The absolute value of -6 is 6, and the absolute value of -7 is 7).

The correct statement is: the volume of the cylinder is 8 cubic inches more than that of the cone.

The volume of cone (V) = 1/3 * πr²h

Volume of cylinder (V) = πr²h

Where, r is the radius of their bases.

The base area formula for the cone = πr²

Calculate the area of the base of the cone that has a radius (r) of 2.5 in:

Area of the base of the cone = π(2.5)² ≈ 19.6

The volume of the cone (V) = 1/3 * πr²h = 1/3 * π * 2.5² * 6.5

≈ 42.5 cubic inches

Volume of cylinder (V) = πr²h = π * 2² * 4

≈ 50.3 cubic inches

The difference in volume = 50.3  - 42.5

= 7.8 ≈ 8 cubic inches

Therefore, the only statement that is true is: the volume of the cylinder is 8 cubic inches more than that of the cone.

Learn more about the Volume of cylinder on:

https://brainly.com/question/20307843

#SPJ1

Answer:

(-1 2) (7 6) is the answer to the question

Answer:

-1/2

Step-by-step explanation:

slope= -7-(-5)/6-2

= -7+5/4

= -2/4

= -1/2

Answer:

c. one-tailed

Step-by-step explanation:

i think its this because i say so now trust :)

Orthocenter: Solve system of 3 eqs. using 3 altitudes' equation & vertices' coordinates.

What is coordinate ?

Coordinate is a value or set of values that identify the position of a point in a certain space. Represented by ordered pair or triple of numbers (x,y) or (x,y,z) respectively.

The orthocenter of a triangle is the point where the three altitudes of the triangle intersect. To find the orthocenter of a triangle with coordinates, you can use the following steps:

1) Find the equation of the three altitudes of the triangle. To do this, you will need the coordinates of the three vertices of the triangle, as well as the slope of the line perpendicular to the side opposite each vertex.

2) Once you have the equations of the three altitudes, you can use them to find the coordinates of the orthocenter. To do this, you will need to solve a system of three equations with three variables (the x and y coordinates of the orthocenter, and the y-intercept of the altitude).

3) Once you have the coordinates of the orthocenter, you can use them to check your work by verifying that the point is indeed on each of the three altitudes.

Orthocenter: Solve system of 3 eqs. using 3 altitudes' equation & vertices' coordinates.

To learn more about coordinate visit : brainly.com/question/27749090

#SPJ4

Answer:

45.4782609 miles per hour

Step-by-step explanation:

523 miles

11 1/2 hours

523 / 11.5

Answer: No real solutions

Step-by-step explanation: to solve for x and find a solution you need to take the square root of -144

This is not possible as this a negative number . There is a solution if we use complex numbers, but this not included in the question

Answer:

I don't have a grid with me but look at it this way. if you look at the first set of points look at where they are starting. and. then look at the second set of points. see if the points plotted bend over the x axis or the y axis:)

A differential equation is considered exact if the condition ∂M/∂y = ∂N/∂x is satisfied. This condition ensures that the equation can be written in the form \(M(x, y)dx + N(x, y)dy = 0\).

In order to determine if a given differential equation is exact, we can perform a test involving the partial derivatives of the equation. The  "exact differential equation" refers to a type of differential equation that can be written in the form "\(M(x, y)dx + N(x, y)dy = 0\)". To check for exactness, we need to ensure that the partial derivative of M(x, y) with respect to y is equal to the partial derivative of N(x, y) with respect to x.

Mathematically, this condition can be stated as: ∂M/∂y = ∂N/∂x. If this equality holds, the differential equation is exact. However, if the equality does not hold, the equation is not exact and alternative methods, such as integrating factors, may need to be used to solve it.

Therefore, a differential equation is considered exact if the condition ∂M/∂y = ∂N/∂x is satisfied. This condition ensures that the equation can be written in the form \(M(x, y)dx + N(x, y)dy = 0\), making it possible to solve using techniques specific to exact differential equations.

Learn more about exact differential equations here:

https://brainly.com/question/32538700

#SPJ4

The differential equation in the form Mdx + Ndy = 0 is exact if the partial derivative of M with respect to y equals the partial derivative of N with respect to x. If this condition is met, there exists a function that satisfies the equation dΨ = Mdx + Ndy, confirming its exactness.

To determine if a differential equation is an exact differential equation, you first need to look at its form. Generally, an equation in the form M(x,y)dx + N(x,y)dy = 0 is an exact differential equation if the partial derivative of M with respect to y is equal to the partial derivative of N with respect to x. Essentially, this method is testing the continuity and differentiability of the functions M and N. If the condition holds, it means that there exists a function Ψ(x,y) such that dΨ = Mdx + Ndy, demonstrating that the equation is exact.

As an example, if you have the differential equation 3xy dx + \((x^3\) + y) dy = 0, you can determine its exactness by finding partial derivatives. Here, M = 3xy and N = x^3 + y. The partial derivative of M with respect to y is 3x, and the partial derivative of N with respect to x is also 3x. So, their equality confirms that this differential equation is indeed exact.

Learn more about the topic of Exact differential equation here:

https://brainly.com/question/33433874

#SPJ11

Step-by-step explanation:

the numbers are a bit cut off at the top.

do I understand it correctly that the question is when the balloon loses 6/8 of a cubic foot of air ?

if so, I need to point out that the balloon loses 1/8 of a cubic foot per day.

so, how many days until it loses 6/8 if a cubic foot ?

well, 6 times that of 1/8 of a cubic foot = 6 days.

Answer: B

Step-by-step explanation:

Option A simplifies to 7/15

Option B simplifies to 11/21

If 1/2 is equal to .50, then when subtracted 7/15 would be equal to 0.46666667 and 11/21 would be equal to 0.52380952... meaning that 11/21 would be closer to 1/2 (or .50).

Hope this helps!

Answer:\(\sqrt{93}\)

Step-by-step explanation:

Pythagoeraen theorm. 14^2+x^2=17^2

Answer:9.64 is the correct answer

Step-by-step explanation:

By Phythagorean theorem

hypotenuse^2=base^2+altitude^2

(17)^2=(14)^2+(x)^2

289=196+x^2

289-196=x^2

93 =x^2

taking square root on both sides

x=9.64

Answer:

What is the volume, in cubic ft, of a rectangular prism with a height of 17ft, a width of 13ft, and a length of 12ft?

Step-by-step explanation:

What is the volume, in cubic ft, of a rectangular prism with a height of 17ft, a width of 13ft, and a length of 12ft?What is the volume, in cubic ft, of a rectangular prism with a height of 17ft, a width of 13ft, and a length of 12ft?What is the volume, in cubic ft, of a rectangular prism with a height of 17ft, a width of 13ft, and a length of 12ft?

The probability that there are exactly two power failures on a particular day is roughly 0.0459 or 0.046 (adjusted to three decimal places).

Let X be the number of control disappointments on a specific day. Since the mean number of control disappointments per day is 0.210, the Poisson parameter lambda additionally rises to 0.210.

Hence, we need to discover the likelihood that X = 2, given lambda = 0.210.

Utilizing the Poisson likelihood mass work, we have:

P(X = 2) = \((e^(-lambda) * lambda^x) / x!\)

P(X = 2) = (\(e^\)(-0.210) * 0.210²) / 2!

P(X = 2) = 0.04586

Hence, the likelihood that there are precisely two control disappointments in a specific day is roughly 0.0459 or 0.046 adjusted to three decimal places. 

To know more about probability refer to this :

https://brainly.com/question/24756209

#SPJ4

The probability of drawing 1 red marble and 1 blue marble from the given boxes is 2/7.

The probability of drawing 1 red marble and 1 blue marble from the given boxes can be calculated using the concept of probability and sample space. The probability can be defined as the ratio of the number of favorable outcomes to the total number of possible outcomes. The sample space can be defined as the set of all possible outcomes.

Given, a box contains 4 white marbles and 3 red marbles. A second box has 3 white marbles and 6 blue marbles. If one marble is drawn from each box, the probability that 1 red marble and 1 blue marble will be drawn can be calculated as follows:

The total number of possible outcomes is given by the product of the number of marbles in each box:

Total number of possible outcomes = 7 × 9 = 63

The number of favorable outcomes can be calculated by considering all possible cases where one red marble is drawn from the first box and one blue marble is drawn from the second box.

The number of ways to draw one red marble from the first box = 3

The number of ways to draw one blue marble from the second box = 6

Therefore, the number of favorable outcomes = 3 × 6 = 18

Hence, the probability of drawing 1 red marble and 1 blue marble can be given as follows:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 18/63

The probability of drawing 1 red marble and 1 blue marble from the given boxes is 2/7.

Learn more about probability:

brainly.com/question/13604758

#SPJ1

complete question:

a box contains 4 white marbles and 3 red marbles. a second box has 3 white marbles and 6 blue marbles. if one marble is drawn from each box, what is the probability that 1 red marble and 1 blue marblle will be drawn

Clio went 20 times to the movies last year. This can be calculated using linear equations.

Given,

Number of times all together they went to movies = 30

Clio = 5 times more than Alex

Bernie = is 2 times more than Alex.

Let 'a' be the number of times Alex has gone to the movie:

Clio = 5a

Bernie = a + 2

So, we can calculate the number of times Clio went to the movies if we find out how many times Alex went. This can be calculated using the following linear equation:

Clio + Bernie + Alex = 30

5a + (a +2) + a = 30

7a + 2 = 30

7a = 30 - 2

7a = 28

a = 28 ÷ 7

a = 4 times

From solving the above equation, we got that Alex (a) went to the theatre 4 times last year. Now, substituting the value of 'a' we get:

Clio = 5a

Clio = 5*4 = 20 times

Bernie = a+2 = 4+2 = 6 times

So, we can conclude by saying that, Clio went 20 times to the movies last year.

To know more about Linear equation,

brainly.com/question/12788590

brainly.com/question/4074386

#SPJ4