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The number of reindeer in St. Elsewhere in 1920 will be approximately 475.

The growth rate of .12 indicates an annual increase of 12%, meaning that each year the number of reindeer will be multiplied by 1.12. To find the number of reindeer in 1920, we need to use this growth rate over the 20-year period from 1900 to 1920.
Starting with the initial 52 reindeer, we can multiply by 1.12 for each year. This gives us:
Year 1: 52 * 1.12 = 58.24
Year 2: 58.24 * 1.12 = 65.10
Year 3: 65.10 * 1.12 = 72.90
Year 4: 72.90 * 1.12 = 81.60
Year 5: 81.60 * 1.12 = 91.15
Year 6: 91.15 * 1.12 = 101.66
Year 7: 101.66 * 1.12 = 113.27
Year 8: 113.27 * 1.12 = 126.13
Year 9: 126.13 * 1.12 = 140.43
Year 10: 140.43 * 1.12 = 156.36
Year 11: 156.36 * 1.12 = 174.16
Year 12: 174.16 * 1.12 = 194.10
Year 13: 194.10 * 1.12 = 216.45
Year 14: 216.45 * 1.12 = 241.58
Year 15: 241.58 * 1.12 = 269.87
Year 16: 269.87 * 1.12 = 301.72
Year 17: 301.72 * 1.12 = 337.62
Year 18: 337.62 * 1.12 = 378.10
Year 19: 378.10 * 1.12 = 423.77
Year 20: 423.77 * 1.12 = 475.30
Therefore, the number of reindeer in St. Elsewhere in 1920 will be approximately 475.

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Answer:

y = -8x+9

Step-by-step explanation:

7 = -8(-2) - b

7 = 16 - b

-9 = -b

b = 9

y = -8x+9

The steady probability of the point is 1/5, 9/50, 1/5, and 9/50

Let us denote the steady-state probability of being in state i by πi. Then, we have the following system of linear equations:

π₁ = 1/2 * π₂

π₂= 1/2 * π₁ + 1/2 x π₃

π₃ = 1/2 * π₂ + 1/2 * π₄

π₄ = 1/2 * π₃

We can solve this system of equations to obtain the steady-state probabilities for each state:

π₁ = π₃ = 1/4

π₂ = π₄ = 1/8

In the original Markov chain, the transition matrix is:

P = [0 1/2 0 1/2

1/2 0 1/2 0

0 1/2 0 1/2

1/2 0 1/2 0]

To reflect the new probabilities, we can modify the entries of this matrix as follows:

P' = [0 0.9 0 0.1

0.1 0 0.9 0

0 0.1 0 0.9

0.9 0 0.1 0]

We can then use the same method as before to find the steady-state probabilities of this modified Markov chain. We obtain the following system of linear equations:

π₁ = 0.1 * π₄

π₂ = 0.9 * π₁

π₃ = 0.1 * π₂

π₄ = 0.9 * π₃

Solving this system of equations, we get the following steady-state probabilities:

π₁ = 1/5

π₂ = 9/50

π₃ = 1/5

π₄ = 9/50

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Answer:

5:6

Step-by-step explanation:

To find the ratio of side lengths you need to cube root of the ratio of the volumes. The reason you use the cube root is because you are multiplying 3 things together when you find volume.

\(\sqrt[3]{\frac{125}{216} } =\frac{5}{6}\)

5 : 6

Let x be the number of batches Amanda must sell each month in order to make a profit.

The total cost that Amanda incurs to produce x batches of cupcakes in a month is:

Total cost = cost of each batch × number of batches= $5.00x

The total revenue that Amanda generates by selling x batches of cupcakes in a month is:

Total revenue = price of each batch × number of batches= $20.00x

To make a profit, Amanda's total revenue must be greater than her total costs.

Thus, we can write the inequality:

Total revenue > Total cost

$20.00x > $5.00x + $1,500

Simplifying the inequality,

we get:

$15.00x > $1,500

Dividing both sides by $15.00,

we get

x > 100

Therefore, Amanda must sell more than 100 batches of cupcakes each month to make a profit.

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The tires and the traction control system work in tandem to ensure maximum traction and stability, minimizing the risk of traction loss and improving overall vehicle control and safety.

The two most important parts of a vehicle in preventing traction loss are the tires and the traction control system.

Tires: Tires are the primary point of contact between the vehicle and the road surface. The quality and condition of the tires greatly influence traction. Tires with good tread depth and appropriate tread pattern are essential for maintaining grip on the road. Tread depth helps to channel water, snow, or debris away from the tire, preventing hydroplaning or loss of traction. Additionally, tire pressure should be properly maintained to ensure even contact with the road. Choosing tires suitable for the specific driving conditions, such as all-season, winter, or performance tires, is crucial for optimal traction and handling.

Traction Control System: The traction control system is a vehicle safety feature that helps prevent the wheels from slipping or spinning on low-traction surfaces. It uses various sensors to monitor the speed and rotation of the wheels. If the system detects a loss of traction, it will automatically reduce engine power and apply braking force to the wheels that are slipping. By modulating power delivery and braking, the traction control system helps maintain traction and prevent wheel spin, especially in challenging conditions like slippery roads or during quick acceleration.

The tires and the traction control system work in tandem to ensure maximum traction and stability, minimizing the risk of traction loss and improving overall vehicle control and safety.

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On solving the equation 2x+y=-4 and 43x-12y=-4 for y we get the value of y=-164/67 as the definition of solution of equation says "A solution to an equation is a number that can be plugged in for the variable to make a true number statement".

A group of equations involving one or more variables is known as a system of equations. The variable mappings that cause all component equations to be satisfied or intersected are the solutions to systems of equations.

Here,

2x+y=-4

43x-12y=-4

43(2x+y=-4)

2(43x-12y=-4)

86x+43y=-172

86x-24y=-8

subtracting equation,

67y=-164

y=-164/67

As stated in the definition of equation solution, "A solution to an equation is a number that can be plugged in for the variable to make a true number statement," we arrive at the value of y=-164/67 after solving the equations 2x+y=-4 and 43x-12y=-4 for y.

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Answer: 1250

Step-by-step explanation:

1) The price of an article is marked 25% above the cost price.

SP = CP x 1.25

2) If it is sold at the profit of Rs 500 after allowing 15% discount

SP = CP x 0.85 + 500

SP = 0.85CP + 500

1.25CP = 0.85CP + 500

1.25CP - 0.85CP = 500

0.40CP = 500

CP = 500 / 0.4 = 1250

Answer:

solution,

Let C.P of article be X

\(mp = x + \frac{25}{100} \times x \\ \: \: \: \: = x + \frac{25x}{100} \\ = \frac{x \times 100 + 25x}{100} \\ = \frac{100x + 25x}{100} \\ = \frac{125x}{100} \\ sp = mp - \frac{15}{100} \times \frac{125x}{100} \\ \: \: \: \: = \frac{125x}{100} - \frac{15x}{80} \\ \: \: \: \: = \frac{125 x\times 4 - 15x \times 5}{400} \\ \: \: \: \: \: = \frac{500x - 75x}{400} \\ \: \: \: \: \: \: = \frac{425x}{400} \\ profit = sp - cp \\ or \: 500 = \frac{425x}{400} - x \\ or \: 500 = \frac{425x - x \times 400}{400} \\ or \: 500 = \frac{425x - 400x}{400} \\ or \: 500 = \frac{25x}{400} \\ or \: 25x = 200000 \\ or \: x = \frac{200000}{25} \\ x = 8000 \\ again \\ \: selling \: price = \frac{425x}{400} \\ \: \: \: \: \: \: \: \: \: \: \: = \frac{425 \times 8000}{400} \\ \: \: \: \: \: \: = \frac{3400000}{400} \\ \: \: \: \: \: \: = 8500\)

hope this helps....

Good luck on your assignment...

Answer:

The Height of an Average Door is about 80 Inches. So it is 7 Feet

Step-by-step explanation:

Converting 7 feet into Inches it becomes 84, which is the closet to a standard door.

Answer: I believe you mean tossing 2 tails, for that the answer would be C 3/8

Step-by-step explanation:

4r is the greatest common factor

Thus, the coordinates of ΔF'I'G' after a rotation of 90° clockwise about the origin. are - F'(4,-2), I'(4,-5) and G'(2,-3).

A rotation is a turn made about a specific axis. Both clockwise and anticlockwise rotations are possible. Whereas the image is really the rotating image, the pre-image is the original item.

From the pre-image point, calculate the image. The listed pre-image point is (x , y). Change the x and y coordinates, then multiply this same previous y coordinate by -1 to get a 90 degree anticlockwise rotation. Use the guidelines mentioned below to calculate each rotation.

Clockwise :

Given :

F(2, 4), I(5, 4) and G(3, 2)

After 90 degree rotation: (x , y) ----> (y , -x)

F'(4,-2), I'(4,-5) and G'(2,-3).

Thus, the coordinates of ΔF'I'G' after a rotation of 90° clockwise about the origin. are - F'(4,-2), I'(4,-5) and G'(2,-3).

Graphs for the both triangles are obtained.

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Correct question:

ΔFIG has vertices at F(2, 4), I(5, 4) and G(3, 2). Graph ΔFIG and ΔF'I'G' after a rotation of 90° clockwise about the origin.​

Answer: 2 5/6 I think.

Wait no. I just did the math and it would be 2 1/2

Answer:

one minute I'm doing the work right now

Answer:

Yes it is proportional

Step-by-step explanation:

Notice how when x goes up 1 y goes up by 1.6. There is a pattern, if there is no pattern then you would see that numbers either go up or down with no pattern.

Answer:

1 pounds of grapes it is 7.98$

Step-by-step explanation:

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

The solution is x = 0 and y = 22.

Equation 1: y = -3x + 22

Substitute y in Equation 2:

5x + 2(-3x + 22) = 44

Simplify and solve for x:

5x - 6x + 44 = 44

-x + 44 = 44

-x = 0

x = 0

Substitute x = 0 back into Equation 1 to find Y:

Y = -3(0) + 22

Y = 0 + 22

Y = 22

So the solution is x = 0 and y = 22.

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Step-by-step explanation:

\(3 \frac{1}{2} - 4 \frac{3}{4} = \frac{7}{2} - \frac{19}{4} = \frac{14}{4} - \frac{19}{4} = - \frac{5}{4} \)

the result of the expression for fractions 1 2/9 - 2 / 3 will be 5 / 9.

The expression for the fraction is given as:

1 2/9 - 2 / 3

First we will convert the mixed fraction to the improper fraction:

1 2/9 = 11 / 9

Now , the expression becomes:

11 / 9 - 2 / 3

Taking LCM and simplify:

(11 - 6) / 9

Solve and subtract the fractions:

5 / 9

Therefore, we get that, the result of the expression for fractions 1 2/9 - 2 / 3 will be 5 / 9.

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Answer:

Im [retty sure the Square root of 50 is 7!

Step-by-step explanation:

Answer:

The books cost $28 dollars each.

Step-by-step explanation:

$266 - $14 = $252

then take $252 divided by 9 = $ 28

In this case the answer is very simple. .

Step 01:

Data

side a = 8m

side b = 15m

c = hypotenuse = ?

Step 02:

Pythagoras Theorem Formula

Hypotenuse² = Perpendicular² + Base²

c² = a² + b²

c ² = (8m)² + (15m)²

c ² = 64m² + 225m²

c ² = 289m²

Step-by-step explanation:

for the perimeter you have to say two brackets live plus height plus with plastic

Answer:

hi i think the answer shouldbe 34/43 as its out of 43 and there is 34 people on the internet. I think this should be write but it may  be wrong. if this is right please vote for brainliest. i hope my answer is right and this helps bye.

Answer: Hello Im very sorry if this is incorrect but I believe that the answer is 5 Have a nice night!

-Jersey

Based on the calculations, we can conclude that Louise is incorrect in assuming that all three expressions are equal to 36. The correct values for the expressions are 324, 234, and 159, respectively.

The given question involves evaluating expressions using the order of operations, also known as PEMDAS. Let's break down each expression step by step:

Expression 1: (5x3+3)2
According to PEMDAS, we first perform the multiplication (5x3), which equals 15.

Then, we add 3 to get 18. Finally, we square the result, which gives us 324. Therefore, (5x3+3)2 equals 324.

Expression 2: (5x3)2+(3)2
Again, applying PEMDAS, we start with the multiplication (5x3), which equals 15. Then, we square this result, which gives us 225.

Next, we square 3, resulting in 9. Finally, we add 225 and 9, which equals 234. Therefore, (5x3)2+(3)2 equals 234.

Expression 3: 25x6+9
Using PEMDAS, we first perform the multiplication (25x6), which equals 150.

Then, we add 9 to get the final result, which is 159. Therefore, 25x6+9 equals 159.

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Therefore , the solution of the given problem of coordinates comes out to be  (1, -4) are the coordinates of the vertex of the function  F(x) = x² - 2x - 3.

When used in connection with particular other algebraic components on this place, such as Euclidean space, a parameter can reliably detect placement using a number of qualities or coordinates. Coordinates, which appear as collections of numbers when traversing in reflected space, can be utilised to identify particular places or things. Using the two y & x measurements, one can find something over both sides.

Here,

The formula x = -b/2a can be used to determine the vertex of a quadratic function with the form

F(x) = ax² + bx + c. A and B are equal in the given function

=>  F(x) = x² - 2x - 3.

With these values entered into the formula, we obtain:

=> x = -b/2a x = -(-2)/(2*1)

=> x = 2/2 x = 1

Consequently, the vertex's x-coordinate is 1.

Now, we can enter the value of x into the following function, F(x), to determine the vertex's y-coordinate:

=> F(1) = 1² - 2(1) - 3

=> F(1) = 1 - 2 - 3

=> F(1) = -4

Therefore, the vertex's y-coordinate is -4.

As a result, (1, -4) are the coordinates of the vertex of the function

=> F(x) = x² - 2x - 3.

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