Pierce College plans to implement a telephone tree to send messages in case of emergencies. The person


at the top will call 2 people, and each of those people will call 2 more people, and so on. Suppose it takes


1 min to call someone. A message is relayed until the bottom row of the tree has 256 people. How long will


this take?

The tenth position is the one that goes after the decimal point.

To round a number, you have to take into account the following:

1. If the number that goes after the position we are going to round to is greater than 5, we round to the next number in that position.

2. If the number that goes after the position we are going to round to is less than 5, we round to the same number in that position.

In this case, the number that is on the tenth's position is 4. The number that is after this position is 1, which is less than 5, then we round the number in this positon to 4.

The rounded number would be:

Answer:

(-6,0)

Step-by-step explanation:

the y-axis is any (x number, 0)

The system can be written as a vector equation as [5, 1, -3] [x1, x2, x3]^T = [8, 0]^T and as a matrix equation as AX = B, where A = [5 1 -3; 0 2 4], X = [x1; x2; x3], and B = [8; 0].

To write the given system as a vector equation, we group the variables and the constants into vectors and write the equations in a matrix form. Thus, the system can be written as [5x1 + x2 - 3x3; 2x2 + 4x3] = [8; 0], which is a vector equation.

To write the system as a matrix equation, we can write the coefficients of the variables in a matrix A, the variables in a vector X, and the constants in a vector B. Thus, the system can be written as AX = B, where A = [5 1 -3; 0 2 4], X = [x1; x2; x3], and B = [8; 0].

We can then solve for X by finding the inverse of A and multiplying both sides of the equation by it.

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Answer: yes it is

Step-by-step explanation:

Answer:  46x square meters

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

Work Shown:

Area = height*(base1+base2)/2

Area = 5x*(6.4+12)/2

Area = 5x*(18.4)/2

Area = 5x*9.2

Area = 46x

Because we don't know what x is, we cannot evaluate 46x further. So we leave it as is.

The area units are in square meters. We can abbreviate that as m^2 or \(m^2\)

Think of a 1 meter by 1 meter square.

Step-by-step explanation:

IF  x-4   is a factor, then putting in x = + 4    will make the polynomial = 0

5 ( 4^3) - 20 (4^2) - 5(4)  + 20   =   0    Yes...it is a factor

\(x - 4 = 0 \\ x = 4 \\ \)

substitute value of x in the function to see if it equals to zero , if not it won't be a factor of the function

\(5 {x}^{3} - 20 {x}^{2} - 5x + 20 = 0 \\ 5(4) ^{3} - 20( {4})^{2} - 5(4) + 20 = 0 \\ 5(64) - 20(16) - 20 + 20 = 0 \\ 320 - 320 - 20 + 20 = 0 \\ 0 = 0\)

so (x-4) is a factor for the function

Answer:

AA similarity

Step-by-step explanation:

Respective angles of both triangles are 40°, 50° and 90°

AA similarity is the case:

Answer:

equivalent is the aswer

The degree of the polynomial 7x³ 5x 4x³ 2x² is 3.

The degree of a polynomial is the highest power of x in the polynomial.

In this case, the polynomial is 7x³ 5x 4x³ 2x², and the highest power of x is x³. This means that the degree of this polynomial is 3.

It's important to note that when working with polynomials it's important to pay attention to the signs of the coefficients. In this case, we have 7x³, 5x, 4x³, 2x². The x³ term has the highest degree and it's coefficient is 7, the x term has the second highest degree and it's coefficient is 5, the x³ term has the same degree as the first x³ term, but the coefficient is different, and the x² term has the fourth highest degree and it's coefficient is 2.

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Answer: To find out how many steps are left for Rohan to complete the race, we can calculate the remaining distance in meters and then divide it by the distance covered per step.

Rohan covered 347 meters before falling, so the remaining distance to complete is:

560 meters - 347 meters = 213 meters

Since each step covers 0.5 meters, we can calculate the number of steps left:

213 meters / 0.5 meters per step = 426 steps

Therefore, Rohan has 426 steps left to complete the race.

If the two ends of this triangular right prism are equilateral triangles. The surface area of the prism is 74cm.

Using this formula

A=bh+L(S1+S2+S3)

Where:

L=5cm

b=4cm

h=3.5cm

S1=4cm

S2=4cm

S3=4cm

Let plug in the formula

A=4(3.5)+5(4+4+4)

A=14+5(12)

A=14+60

A=74 cm

Therefore the surface area of the prism is 74cm.

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The cost of one taco is $3.75.

We are given cost of salad, the sales tax and tip along with total expenditure. We already know, that sales tax is calculated on the cost of items. Hence, forming the equation accordingly. Let us assumed the cost of one taco be $x. So, the cost of two tacos will be $2x.

The equation will be -

2x + 2.50 + (2x + 2.50)×(6÷100) + 3 = 13.60

2x + 2.50 + (2x + 2.50)×0.06 + 3 = 13.60

Now, solving this equation to find the value of x and hence the cost of one taco.

2x + 2.50 + 0.12x + 0.15 + 3 = 13.60

Performing addition on Left Hand Side

2.12x + 5.65 = 13.60

Shifting 0.18 to Right Hand Side and performing subtraction

2.12x = 13.60 - 5.65

2.12x = 7.95

x = 7.95÷2.12

Performing division

x = 3.75

Thus, the cost of one taco is $3.75.

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Answer:

Original: $733 million

Sequel: $860 million

Step-by-step explanation:

Let's say the original movie grossed x dollars. Since the sequel grossed 127 million more than that, we can write the expression x + 127 to represent the sequel.

Their total is 1593 million, so let's add them up:

x + (x + 127) = 1593

2x + 127 = 1593

2x = 1466

x = 1466/2 = 733

To find the sequel gross amount, add 127 to 733:

127 + 733 = 860

So, the original movie grossed $733 million, while the sequel grossed $860 million.

Answer:

7.14

Step-by-step explanation:

We have to solve:

We can write:

Answer: y=4

Answer: False

(5 x 3) + (5 x 3) = 30

Answer:

I think is 50m.

Step-by-step explanation:

The height of a rider on the London Eye Ferris wheel in London can be modeled by the function h(t) = A * cos(B * t), where t represents time in minutes. The Ferris wheel stands 135 meters tall with a diameter of 120 meters. It takes half an hour (30 minutes) to complete one revolution.

1. At t = 0 minutes, the rider is not at the bottom of the wheel but at the midpoint of the wheel's diameter, so the rider's height is equal to the radius of the wheel, which is half of its diameter. Therefore, the rider's height at t = 0 minutes is 120/2 = 60 meters.

2. To determine the time it takes for the rider to reach the top, we need to find the period of the cosine function. The period (T) is the time it takes for one complete cycle of the function. In this case, the period is equal to the time it takes for the Ferris wheel to make a full revolution, which is 30 minutes. So, the rider reaches the top after half of the period, which is T/2 = 30/2 = 15 minutes. At that time, the rider's height is equal to the sum of the radius of the wheel and its height, which is 60 + 135 = 195 meters.

3. The period of the cosine function is T = 30 minutes.

4. The vertical shift of the function represents the average height of the rider throughout one complete cycle. In this case, the average height is the sum of the radius and the height of the Ferris wheel divided by 2, which is (60 + 135)/2 = 97.5 meters. Therefore, the vertical shift of the function is 97.5 meters. The amplitude of the function is half of the vertical distance between the maximum and minimum values, which is (135 - 60)/2 = 37.5 meters.

5. The equation of the cosine function is h(t) = 97.5 + 37.5 * cos((2π/30) * t). To find the rider's height at t = 21 minutes, we substitute t = 21 into the equation: h(21) = 97.5 + 37.5 * cos((2π/30) * 21) ≈ 185.11 meters.

In summary, the rider's height at t = 0 minutes is 60 meters. It takes 15 minutes for the rider to reach the top, at which point their height is 195 meters. The period of the function is 30 minutes. The vertical shift is 97.5 meters, and the amplitude is 37.5 meters. Using the cosine function, the rider's height at t = 21 minutes is approximately 185.11 meters.

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Answer:

2,160 Hours

Step-by-step explanation:

Ok so usual i would split $540 in half so a number multiplied by two would end up as 540, and i got 270. So since each week we know Phillip earned $270 and $11.25 a hour, we can divide 270 by 11.25, which gives us $24, so that means h = 24, but on week 2 it says Phillip worked 8 hours more on week 2, so that gives us a equation of 8 x 11.25, which comes out to 90, so now we can move on to our final equation, 90 x 24, which equals 2160. Im so sorry if this is wrong

Phillip worked for 20 hours and 28 hours in 1 and 2 weeks respectively.

A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.

Given that, Phillip earns $11.25 per hour. During Week 1, he worked h hours. During Week 2, he worked 8 hours more than Week 1. Phillip earned $540 for both weeks,

The unit rate for the work of Phillip is given, $11.25 per hour.

Therefore, his earning for h hours = $11.25h

For (8+h) hours = $11.25(h+8)

Since, he earned $540 for both weeks,

Therefore,

11.25(h+8) + 11.25h = 540

11.25h + 90 + 11.25h = 540

22.5h = 450

h = 20

h+8 = 28

Hence, Phillip worked for 20 hours and 28 hours in 1 and 2 weeks respectively.

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Answer:

a. -0.89

Step-by-step explanation:

The easiest way to solve this is that 0.03 - 0.92 is also the same thing as -0.92 + 0.03, your answer should be -0.89 which you are adding up 0.03.

Answer:

c. the crust

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

8% of 25 is 2 so 25 + 2 =27

Answer:

None of the above

Step-by-step explanation:

20 x 4 = 80

20 + 20 +20 =20 = 80

The equation of the area of the square is x² + 6x = 1, it is in the form x² + 6x = a where a is 1 and a constant to be found.

A regular quadrilateral is square. A square has equal lengths on each of its four sides and angles. Each of the four angles is 90 degrees, or a right angle. The two adjacent sides of a square are equal in length, making it a particular instance of a rectangle.

Its attributes are: Each of its four sides is the same length.

Each of its four angles has the same dimensions.

At right angles, or 90°, the two diagonals split in half.

A square has two opposed sides that are equally long and parallel.

A square's diagonal lengths are equal.

The length of the side of the given square is 3 + x.

The area of the square is given as:

A = (s)(s)

Substituting the value of the side and area we have:

10 = (3 + x)(3 + x)

10 = 9 + 3x + 3x + x²

x² + 6x = 10 - 9

x² + 6x = 1

Hence, the equation of the area of the square is x² + 6x = 1, it is in the form x² + 6x = a where a is 1 and a constant to be found.

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Answer:

$134.09

Step-by-step explanation:

you take 156.34 and minus 15.50, then you take that and minus it by 6.75

Answer $134.09

why 156.34 - 15.50+6.75=134.09

Answer:

£8934.24

Step-by-step explanation:

100 + 2.8 = 102.8

102.8 / 100 = 1.028

8000 x \(1.028^{4}\) = £8934.24