Is 0 a perfect square?

Answer:

\(y=-x\)

Step-by-step explanation:

The slope-intercept form of a line can be written as \(y=mx+b\), where \(m\) is the slope, \(b\) is the y-intercept, and \((x,y)\) are the coordinates of any point that this line passes through.

Perpendicular lines have negative-reciprocal slopes. Therefore a line perpendicular to \(y=x+2\) will have a slope of \(-\frac{1}{1}=-1\).

Now that we have a slope and coordinates of a point that the line passes through, we can solve for the y-intercept and the equation of the line:

\(-2=-1(2)+b, \\b=0\)

Thus, the equation of this line is \(\fbox{$y=-x$}\).

Answer: \(10.72\ cm\)

Step-by-step explanation:

Given

Radius of circle \(r=14\ cm\)

Length of chord is \(l=18\ cm\)

Suppose the distance between the chord and center is x

From figure, we can write

\(\Rightarrow r^2=x^2+9^2\\\Rightarrow 14^2=x^2+9^2\\\Rightarrow x^2=196-81\\\Rightarrow x^2=115\\\Rightarrow x=\sqrt{115}\\\Rightarrow x=10.72\ cm\)

Answer:

19/20

Step-by-step explanation:

1/5=0.20

hope that makes sense

Answer: -2d+3

Step-by-step explanation:

The solution is,  the unique price of the proportion is $10.37 even as within the promotion it is promoting at $18.25 consequently, The inventory is over-valued.

We have,

The following market and stock-specific statistics  10.37201

anticipated Return on company Y = Rf + Beta(Rm-Rf)

= zero.029+ 1.forty one*(zero.082)

= zero.14462

charge of the stock =Dividend/predicted to go back

= 1. 5/0.14462

= 10.37201

So the unique price of the proportion is $10.37 even as within the promotion it is promoting at $18.25 consequently, The inventory is over-valued.

A market is described as the sum overall of all the consumers and dealers in the region or place under attention. The vicinity may be the earth, nations, regions, states, or towns. The fee, fee, and fee of items traded are according to forces of delivery and demand in a marketplace.

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complete question:

use the following market and stock specific information to answer this question. assume you create your own portfolio made up of the four individual stocks shown below. the weighting of the porfolio is 30% stock w, 20% stock x, 20% stock y and 30% stock z. if a treasury bill currently sells for $970.05 and if firm y is expected to pay a constant annual dividend of $1.50 per share, and if the stock is currently selling for $18.25 per share, what is your opinion of the stock price?

Answer:

c = 8

Step-by-step explanation:

Answer:

\(\sf c=8\)

Step-by-step explanation:

\(\sf 89=8c+25\)

\(\sf 8c+25=89\)

Subtract 25 from both sides:-

\(\sf 8c+25-25=89-25\)

\(\sf 8c=64\)

Divide both sides by 8:-

\(\sf \cfrac{8c}{8}=\cfrac{64}{8}\)

\(\sf c=8\)

____________________

Hope this helps!

Have a great day!

Answer:

I think it is supplementary

Answer: When the train on one route stop there every 9 minutes and trains on the other route stop there every 6 minutes, the time when they will stop at same time is 18 minutes.

Step-by-step explanation:

From the information, the train on one route stop there every 9 minutes and trains on the other route stop there every 6 minutes.

Therefore, the time when will they stop at same time will be the lowest common multiple for 9 and 6. This is 18. Therefore, 18 minutes is the appropriate answer.

Therefore, the the time when they will stop at same time is 18 minutes.

Answer:

(-2/5, 11/5)

Step-by-step explanation:

We can use the formula for finding a point that divides a line segment into a given ratio. Let P be the point on the line segment QR that partitions it in the ratio 2:3. Then we have:

P = ( (3x2 + 2x1)/(3+2), (3y2 + 2y1)/(3+2) )

where (x1, y1) = (-8, -8) is the coordinates of Q and (x2, y2) = (2, 7) is the coordinates of R.

Substituting the values, we get:

P = ( (32 + 2(-8))/(3+2), (37 + 2(-8))/(3+2) )

P = ( (-2/5), (11/5) )

Therefore, the coordinates of the point P on the directed line segment QR that partitions it in the ratio 2:3 are (-2/5, 11/5).

Answer:

68

Step-by-step explanation:

Ok might be wrong but

0.5 in. = 6

there is 6 0.5 in 3 in. so 6 + 6 + 6 + 6 + 6 + 6 = 68

Answer:

\(x=\dfrac{-1 +\sqrt{2}\:i }{3}, \quad x=\dfrac{-1 -\sqrt{2}\:i }{3}\)

Step-by-step explanation:

Quadratic Formula

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

Given quadratic equation:

\(3x^2+2x+1=0\)

Therefore:

Substitute the values of a, b and c into the quadratic formula and solve for x:

\(\implies x=\dfrac{-2 \pm \sqrt{2^2-4(3)(1)} }{2(3)}\)

\(\implies x=\dfrac{-2 \pm \sqrt{4-12} }{6}\)

\(\implies x=\dfrac{-2 \pm \sqrt{-8} }{6}\)

\(\implies x=\dfrac{-2 \pm \sqrt{4\cdot2\cdot-1} }{6}\)

\(\implies x=\dfrac{-2 \pm \sqrt{4}\sqrt{2}\sqrt{-1} }{6}\)

\(\implies x=\dfrac{-2 \pm 2\sqrt{2}\:i }{6}\)

\(\implies x=\dfrac{-1 \pm \sqrt{2}\:i }{3}\)

Imaginary Number Rule

\(\boxed{\sqrt{-1}=i}\)

Answer:

third option

Step-by-step explanation:

four times a number: 4n

add 8 to it: 4n + 8

All of this equals to -12.

Hence: 4n + 8 = -12

Answer:

4n + 8 = -12

Step-by-step explanation:

eight more means "+ 8". That is 8 more than a number. so that is "n + 8". the number is multiplied by 4 which means "4n + 8". That all is equal to -12 which means "4n + 8 = -12"

Answer:5

Step-by-step explanation:

Volume of the cuboid is lwh cubic unit, where l is length, w is width and h is height.

A cuboid is a three dimensional solid that has 6 faces (rectangular), 8 vertices and 12 edges. A cuboid has three dimensions such as length, width and height. A perfect cuboid is said to be a cuboid that has integer edges.

Given,

Length, width and height of cuboid

Volume = ?

Let length, width and height of cuboid are l , w , h

Volume = length × width × height

V = lwh cubic unit

Hence, lwh cubic unit is the volume of the cuboid, where, l, w, h are the length, width and height respectively.

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A graph of the image of triangle ABC under the transformation is shown below.

In Mathematics and Geometry, the translation of a geometric figure or graph to the left simply means subtracting a numerical value to the value on the x-coordinate of the pre-image;

g(x) = f(x + N)

By translating the pre-image of this triangle vertically upward by 2 units and horizontally left by 5 units, the new coordinates of the image include the following:

(x, y)                               →                  (x - 5, y + 2)

A (2, 3)                        →                  (2 - 5, 3 + 2) = A' (-3, 5)

B (4, 2)                        →                  (4 - 5, 2 + 2) = B' (-1, 4)

C (3, 5)                        →                  (3 - 5, 5 + 2) = C' (-2, 7)

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After the 6-for-1 stock split, the stock price will be $16.41 per share, assuming no market imperfections or tax effects.

A stock split is a process in which a company increases the number of shares outstanding while proportionally reducing the price per share. In this case, the company plans a 6-for-1 stock split, which means that for every existing share, shareholders will receive six new shares.

To determine the post-split stock price, we divide the original stock price by the split ratio. The original stock price is $98.48, and the split ratio is 6-for-1. Therefore, we calculate:

$98.48 / 6 = $16.41

Hence, after the 6-for-1 stock split, the stock price will be $16.41 per share. This means that each shareholder will now hold six times more shares, but the value of their investment remains the same.

It is important to note that in practice, market imperfections, investor sentiment, and other factors can influence the stock price after a split. However, assuming no market imperfections or tax effects, the calculated value of $16.41 represents the theoretical post-split stock price.

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Answer:

C. 54

Step-by-step explanation:

the C-CAPM with power utility and lognormal consumption growth predicts that the representative agent in country A will consume more in the current period and that the price of an identical financial asset will be lower compared to country B.

The C-CAPM is a financial model that relates the consumption patterns and asset prices in an economy. In this scenario, the difference in subjective discount factors implies that the representative agent in country A values future consumption relatively less compared to country B. As a result, the representative agent in country A tends to consume more in the current period, prioritizing immediate consumption over saving for the future.

Furthermore, the C-CAPM suggests that the price of an identical financial asset, such as a stock or bond, will be lower in country A. This is because the higher subjective discount factor in country A implies a higher expected return requirement for investors. As a result, investors in country A will demand a higher risk premium, leading to a lower price for the financial asset.

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Answer:

Step-by-step explanation:

The repeating decimal of -⁷/9 is -0.7777777777777.......................

Answer:

1:40

Step-by-step explanation:

because there are two red continuous so double the no. of total marbles.

Answer:

x =6

Step-by-step explanation:

The angles are alternate interior angles and alternate interior angles are equal

7x = x+36

Subtract x from each side

7x -x = x+36-x

6x = 36

Divide by 6

6x/6 = 36/6

x = 6

The correct answer is "the model of arrivals." A Poisson process is a statistical model used to describe the arrival times of events that occur randomly over time. These events are assumed to occur independently of each other and with a constant rate or intensity. The process is named after French mathematician Siméon Denis Poisson.

The model of departure times, on the other hand, describes the times at which objects or individuals leave a certain location or system. It is not necessarily a Poisson process and can depend on various factors such as the size of the system or the behavior of the individuals.

Dependent events are those that are influenced by previous events or conditions. They are not typically modeled using a Poisson process, as this assumes independence between events. However, there are other statistical models that can be used to describe dependent events.

Overall, it is important to understand the characteristics and assumptions of different statistical models in order to choose the appropriate one for a given situation.

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Answer:

x²-(i-3)x- 3i

Step-by-step explanation:

What is a third-degree polynomial function P(x) with rational coefficients so that P(x) = 0 has roots −3 and i?

Given the toots of the polynomial to be -3 and i, the factors of the polynomial will be (x+3) and (x-i)

Taking the product

P(x) = (x+3)(x-i)

P(x) = x²-xi+3x-3i

P(x) = x²-(i-3)x- 3i

Hence the required polynomial is

x²-(i-3)x- 3i

Answer:

So x can be  {-2,-1,0}

Step-by-step explanation:

x-1/2 < 1/5

Add 1/2 to each side

x < 1/2 + 1/5

x < 5/10 + 2/10

x < 7/10

domain is the set {-2,-1,0,1,2}

The truth set is the values that make the statement true

So x can be  {-2,-1,0}

Answer:

1 pizza is 18 dollars

Step-by-step explanation:

The cost of a pizza will be;

⇒ $18

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The Kennedy Middle School cafeteria charges students $3 for 1/6 of a pizza.

Now,

Since, The Kennedy Middle School cafeteria charges students $3 for 1/6 of a pizza.

Hence, The cost of a pizza = $3 × 6

                                         = $18

Thus, The cost of a pizza will be;

⇒ $18

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Given: The distance between the water tower and the building is 300 ft.The angle of elevation to the top of the tower is 45°The angle of depression to the bottom of the tower is 30°We need to calculate the height of the window from the ground and the height of the tower.

Solution:Let AB be the water tower and C be the observer in the building. Let CD be the height of the window from the ground. Join BD and AC.From ΔABC we have:tan 45° = AB/BCAB = BC ------ (1)From ΔABD we have:tan 30° = AB/BD√3/3 = AB/BDAB = BD/√3 ------ (2)From Eqs.

(1) and (2), we have:BC = BD/√3BD/BC = √3From ΔBDC, we have:tan 60° = CD/BC√3 = CD/BCCD = BC√3 = BDSo, the height of the window from the ground is CD = BD = BC√3 = 300√3 ft = 519.61 ft (approx)From ΔABD, we have:tan 45° = AD/BDAD = BD ------ (3)Adding Eqs.

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Bryleigh have to pay 1260 cents because this is the cost of three dozen brownies.

According to the question,

We have the following information:

Bryleigh needs three dozen brownies for a party. Each brownie costs 35¢.

Now, we know that one dozen of a product means that there are 12 products in total.

So, 3 dozens of brownies means that 12*3.

So, we have 36 products in total.

Now, we have cost of 1 brownie as 35 cents.

So, the cost of 36 brownies can be easily found by multiplying the cost of 1 brownie by 36.

1 brownie = 35 cents

Cost of 36 brownies = 36*35 cents

Cost of 36 brownies = 1260 cents

Hence, the cost of three dozen brownies for which Bryleigh have to pay is 1260 cents.

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Answer:

11z+ 13

Step-by-step explanation:

22z - 11z = 11z

11z+ 13

The gas station serves 16 vehicles per hour, and 72 vehicles arrive in 4 hours. The vehicles will spend 4.50 hours at the gas station.



To find the total time the vehicles will spend at the gas station, we need to calculate the total number of vehicles that arrive and then divide it by the rate at which the gas station serves vehicles.

Given:

Arrival rate: 18 vehicles per hour

Service rate: 16 vehicles per hour

Time: 4 hours

First, let's calculate the total number of vehicles that arrive during the 4-hour period:

Total number of vehicles = Arrival rate * Time

                      = 18 vehicles/hour * 4 hours

                      = 72 vehicles

Since the gas station can serve 16 vehicles per hour, we can determine the time it takes to serve all the vehicles:

Time to serve all vehicles = Total number of vehicles / Service rate

                         = 72 vehicles / 16 vehicles/hour

                         = 4.5 hours

Therefore, the vehicles will spend 4.5 hours at the gas station. Rounded to 2 decimal places, the answer is 4.50 hours.

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