If a counting number with two or more digits remains the same with its digits reversed, then the counting number is a multiple of 11

The rate at which the distance is decreasing is - 30 centimeters per second. Ravi's distance from the first floor when he stepped on escalator is 1250 centimeters.

The pace at which one quantity changes in relation to another quantity is known as the rate of change function. Simply said, the rate of change is calculated by dividing the amount of change in one thing by the equal amount of change in another.

a. From the table we can observe that as time increases, his distance from the first floor decreases.

The rate at which the distance is decreasing is given by:

Rate = (d2 - d1)/ (t2 - t1)

= (980 - 1070) / (9 - 6)

= -90 / 3

= -30

Hence, the rate at which the distance is decreasing is - 30 centimeters per second.

b. Ravi's distance from the first floor when he stepped on escalator is calculates as:

d - d1 = m(t - t1)

where, m is the rate.

Here, m = -30.

d - 1070 = (- 30) (t - 6)

d = -30t + 180 + 1070

d = -30t + 1250

The time when he stepped on escalator is 0.

d = -30(0) + 1250

d = 1250

Hence, Ravi's distance from the first floor when he stepped on escalator is 1250 centimeters.

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Answer:

1.04, 1.4, 1.5 (one and a half), 10, 16

Answer:

1.04, 1.4, 1.5, 1.6

Step-by-step explanation:

1 1 half = 1.5

16 over 10 = 1.6

hope this helps!

Answer:

12 gallons

Step-by-step explanation:

If it takes 20 h for 5 gallons to be filled, it takes 4 h for 1 gallon to be filled. This is the ratio. You multiply 4 h by 12 to get 48 h, so you multiply 1 gallon by 12 as well. This is 12 gallons.

Answer:

B. 4

Step-by-step explanation:

\(7 \sqrt{7x} = \sqrt{49 \times 7x} \)

49 × 7x = 343x

14√7 = √(1372)

1372 ÷ 343 = 4 this is the vaule of x.

Refer to the image for the graph of the lines.

The common form of the equation of a line is y = mx + c, where m is the slope of the line and c is a constant.

We need to draw any line with a slope m = 2, and

another line with a slope m = -2.

Disclaimer: Let us assume that the constant c = 0.

Then the equation to the line with a slope of "positive" 2 is given by

y = 2x

Then the equation to the line with a slope of "negative" 2 is given by

y = -2x

Refer to the attached image for the graph of the lines with the slope of "positive" 2 and "negative" 2.

f: green line indicates a line with a slope of "positive" 2.

g: blue line indicates a line with a slope of "negative" 2.

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The estimated change in yy using differentials is -0.00679. This means that if xx is increased by 0.005, then yy is estimated to decrease by 0.00679. The differential of yy is dy=-5sin(5x)dxdy=−5sin⁡(5x)dx. We are given that y=cos(5x)=π/30y=cos⁡(5x)=π/30 and x=0.055x=0.055.

We want to estimate ΔyΔy, which is the change in yy when xx is increased by 0.005. We can use the differential to estimate ΔyΔy as follows:

Δy≈dy≈dy=-5sin(5x)dx

Plugging in the values of y, x, and dxdx, we get:

Δy≈-5sin(5(0.055))(0.005)≈-0.00679

Therefore, the estimated change in yy using differentials is -0.00679.

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The correct answer is C for the first part and A for the second part.

What is Excel: MS Excel is a commonly used Microsoft Office application. It is a spreadsheet program which is used to save and analyse numerical data. Microsoft Excel is a spreadsheet program available in the Microsoft Office Package. MS Excel is used to create Worksheets (spreadsheets) to store and organize data in a table format. Microsoft Excel is one of the most used software application in the world. Excel have the Powerful Tools and Functions, using it for wide verity of applications across the global IT Companies. It is easy to enter the data, read and manipulate the data. Excel stores the data in a table format in Rows and Columns. Microsoft Excel used for storing the data, processing the data, analyzing and presenting the data.We can enter data in Strings, Dates or Numerical type of Data in the Excel Cells and Save the Files for future reference. For the first part: Excel > FactSet ribbon > Settings > Manage Hotkeys. This will bring up a window displaying all of FactSet's hotkeys, which can be customized or modified. For the second part:  CTRL+M modifies a formula in the Edit tab of Sidebar. This hotkey allows users to make changes to the formula without having to manually click through the various options in the Sidebar.

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Answer:

normal force decreases

Step-by-step explanation:

N=mgcosθ, and cosine decreases as theta increases

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Answer:

A) decreases

Step-by-step explanation:

As the angle of the incline increases, the normal force decreases, which decreases the frictional force. The incline can be raised until the object just begins to slide.

Answer:

the smaller solid is 121.5

Step-by-step explanation:

Hi there! :)

Answer:

\(\huge\boxed{L = 9 \text { units}}\)

Given:

Perimeter = 28

Let the breadth = x. The length is 4 units greater, so we can represent this as (x + 4).

Set up an expression. Remember that the formula for the perimeter of a rectangle is:

P = 2(l) + 2(w)

Substitute:

28 = 2(x) + 2(x+ 4)

Distribute:

28 = 2x + 2x + 8

Combine like terms and simplify:

28 = 4x + 8

20 = 4x

x = 5.

The length of the breadth is 5 units. Substitute in 5 to solve for the length:

(5) + 4 = 9 units.

The length of the rectangle is 9 units.

The given p, α, and i using the exponentiation by squaring algorithm.

To prove that 2 is a primitive root of 11, to show that every integer a with 1 ≤ a ≤ 10 can be expressed as a ≡ 2²i (mod 11) for a unique i with 0 ≤ i ≤ 9.

verify this by checking the powers of 2 modulo 11:

2² ≡ 1 (mod 11)

2²≡ 2 (mod 11)

2² ≡ 4 (mod 11)

2³ ≡ 8 (mod 11)

2² ≡ 5 (mod 11)

2³ ≡ 10 (mod 11)

2³ ≡ 9 (mod 11)

2³ ≡ 7 (mod 11)

2² ≡ 3 (mod 11)

2³ ≡ 6 (mod 11)

The remainders obtained from the powers of 2 cover all the integers from 1 to 10 modulo 11. Additionally, each remainder is unique, express any integer between 1 and 10 as a power of 2 modulo 11.

To find log₂(9), to determine the exponent i such that 9 (mod 11). From the list of powers of 2 above, that 2³= 9 (mod 11). Therefore, log₂(9) = 6.

A given p, α, and i, where α is a primitive root of p and i is the discrete logarithm or index use the algorithm of exponentiation by squaring.

The algorithm for computing a given p, α, and i is as follows:

Set result = 1.

Initialize a binary representation of i, e.g., i = b[m]b[m-1]...b[1]b[0].

For j from m to 0:

a. Square the current result: result = result × result (mod p).

b. If bj = 1, multiply the current result by α: result = result × α (mod p).

Return the final result.

This algorithm takes advantage of the binary representation of i to compute a efficiently. By squaring the current result and multiplying by α only when necessary, compute a in logarithmic time complexity with respect to i.

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Answer:

Each triangle:

A = (1/2)bh = 1/2 × 6 × 8 = 24 cm^2

Rectangle:

A = lw = 9 × 8 = 72 cm^2

Trapezoid:

A = 24 + 24 + 72 = 120 cm^2

A = (1/2)(8)(21 + 9) = 4(30) = 120 cm^2

Answer:

Hi friend! the answer is 64/3 or 21.3333333 or 21 1/3

Step-by-step explanation:

Answer:

64/3

Step-by-step explanation:

becaseu of math bro

Answer:

2rootover5

Step-by-step explanation:

just use pythagoraus theorem

Answer:

x ≈ 4.5

Step-by-step explanation:

First, use the Pythagorean theorem to find the missing variable with side 8 and hypotenuse 10.

a² + b² = c²

a² + 8² = 10²

Square the variables

a² + 64 = 100

Subtract 64 from both sides.

a² = 36

Take the square root of both sides.

a = 6.

Now we can find the other triangle and we now know that one side is 4 and the hypotenuse is 6.

a² + b² = c²

x² + 4² = 6²

Square the variables.

x² + 16 = 36

Subtract 16 from both sides.

x² = 20

Square root. (refresh if you don't see this part.)

\(x=\sqrt{20}\\\text{Factor out a 2.}\\x=2\sqrt{5}\)

Converted to decimal to the nearest tenth, the answer is

x = 4.5.

Now let's prove it.

\(a^2+b^2=c^2\\\text{Substitute variables.}\\(2\sqrt{5})^2+4^2=6^2\\\text{Factor the 2 in.}\\(\sqrt{20})^2+4^2=6^2\\\text{Square the variables.}\\20+16=36\\\text{Add.}\\36=36\)

Answer:

Step-by-step explanation:

Answer:It would cost $11.70 for 2.25 pounds of gummy worms.

Step-by-step explanation:

$2.60*4=$10.40 for 2 pounds

$2.60/2=$1.30 for 1/4 of a pound which is equal to 0.25

$10.40+$1.30=$11.70 for 2.25 pounds of gummy worms

d!

john (y) is (2.5) times as big as his brother sam (x)

hope this helps

The copy over algorithm algorithm scans a list from left to right and copies every legitimate value into a new list that it creates.

According to the statement

We have given that the there is a algorithm which is used to data cleanup problem of removing 0 values from a data set, and scans a list from left to right and copies every legitimate value into a new list.

and we have to explain about that algorithm.

So,

Here we given that the algorithm copies and paste the values in the new files then

the algorithm is called the copy over algorithm.

So, The copy over algorithm is a a single specimen of something that occurs in a multiple edition, such as a book, article, etc. a matter to be reproduced in print or an imitation or reproduction of an original.

So, The copy over algorithm algorithm scans a list from left to right and copies every legitimate value into a new list that it creates.

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Answer:

Step-by-step explanation:\(-\frac{9}{x-9}\)

Answer:

-9(1+x)

-------------

(x-7)(x+7)=0

Step-by-step explanation:

We use factorisation of quadrats

Answer:

Step-by-step explanation: Am not sure if this is the answer you guys are looking for but my in 9th grade and this is how my math teacher taught me how to do it.

one chocolate cake=?=x

one lemon cake=?=y

$270 spent

need to buy total of 18 cakes

1-chocolate cake =$7

lemon cake = $5

cakes 18=x+y

money $110=$7x+$5y

When i graphed it on the demos calculator i got (10,8).

So 10= the number of chocolate cake brought and 4= the number of lemon cake brought

Ladder diagrams are graphical representation techniques used to show how a particular control system operates, such as a mechanical process or a computer algorithm.

They are composed of two vertical lines that represent the power rails of the control circuit.

In this problem, the goal is to create a ladder diagram that will cause the output, alarm lamp ALRM 534, to be 0 N

when

(1) either the infeed conveyor CONV1541 is OFF or the outfeed conngo CONV1542 is OFF and

(2) the limit switch LS1535 is open and

(3) the proximity suid PS1536 is closed.

We'll do this issue for a SLC-500 plc.

Ladder diagram for SLC-500:

Firstly, since the alarm lamp is to be activated when the conditions are false, we will use a Normally Closed (NC) contact for each condition.

Next, draw the circuit for infeed conveyor CONV1541 OFF and the limit switch LS1535 is open.

Then, we'll add the other conditions, such as the outfeed conveyor CONV1542 OFF and the proximity switch PS1536 closed.

Finally, connect the alarm lamp ALRM1534 to the circuit to make it work when all of the specified conditions are met.

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Profitability index is 1.387. Thus, the correct option is (c) 1.387.

The formula for calculating the profitability index is:

P.I = PV of Future Cash Flows / Initial Investment

Where,

P.I is the profitability index

PV is the present value of future cash flows

The initial investment in the project is $30 million. The cash flow at the end of the first year is $2.85 million.

The present value of cash flows can be calculated using the formula:

PV = CF / (1 + r)ⁿ

Where,

PV is the present value of cash flows

CF is the cash flow in the given period

r is the discount rate

n is the number of periods

For the first-year cash flow, n = 1, CF = $2.85 million, and r = 11%.

Substituting the values, we get:

PV = 2.85 / (1 + 0.11)¹ = $2.56 million

To calculate the present value of all future cash flows, we can use the formula:

PV = CF / (r - g)

Where,

PV is the present value of cash flows

CF is the cash flow in the given period

r is the discount rate

g is the constant growth rate

For the subsequent years, CF = $2.85 million, r = 11%, and g = 3.85%.

Substituting the values, we get:

PV = 2.85 / (0.11 - 0.0385) = $39.90 million

The total present value of cash flows is the sum of the present value of the first-year cash flow and the present value of all future cash flows.

PV of future cash flows = $39.90 million + $2.56 million = $42.46 million

Profitability index (P.I) = PV of future cash flows / Initial investment

= 42.46 / 30

= 1.387

Therefore, the correct option is (c) 1.387.

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The position vector of a particle is given by r(t)=0.1ti^+0.3t2j^+11k^ in meters and t is in seconds. To find the particle's acceleration at t = 2 s, we can find its velocity vector by dividing it by time. The acceleration is zero, and the particle's velocity makes an angle of 84.3° with the +x-axis at t = 2 s. Therefore, the particle's acceleration at t=2s is 0 m/s^2.

The position vector of a particle is given by r(t)=0.1ti^+0.3t2j^​+11k^ in units of meters and t is in units of seconds. Let's find the acceleration of the particle at t = 2 s.First, find the first derivative of the position vector r(t) to get the velocity vector

v(t).r(t) = 0.1ti^+0.3t2j^​+11k^ ...........................(1)

Differentiating equation (1) with respect to time, we get the velocity vector

v(t).v(t) = dr(t) / dt = 0.1i^ + 0.6tj^​...........................(2)

Differentiating equation (2) with respect to time, we get the acceleration vector

a(t).a(t) = dv(t) / dt = 0j^​...........................(3)

Substituting t = 2 s in equation (3), we geta(2) = 0j^​= 0 m/s^2

The acceleration of the particle at t = 2 s is zero. 11. For the particle above, what angle does the particle's velocity make with the +x-axis at t=2 s?Velocity vector at time t is given by,v(t) = 0.1i^ + 0.6tj^Substituting t = 2 s, we get,v(2) = 0.1i^ + 1.2j^The angle θ made by the velocity vector with the +x-axis is given by,

θ = tan⁻¹(v_y/v_x)

where, v_y = y-component of velocity vector, and v_x = x-component of velocity vectorSubstituting the values,θ = tan⁻¹(1.2/0.1) = tan⁻¹(12) = 84.3°

The particle's velocity makes an angle of 84.3° with the +x-axis at t = 2 s. Therefore, the answer is, "The acceleration of the particle at t=2s is 0 m/s^2. The angle the particle's velocity makes with the +x-axis at t=2s is 84.3°."

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Answer:

First, we determine how many inches in the board. (5 x 12) + 3. This gives you 63 total inches. You want three equal pieces so you divide 63 by 3 and the answer is 21 inches for each individual piece.

Step-by-step explanation:

First, we determine how many inches in the board. (5 x 12) + 3. This gives you 63 total inches. You want three equal pieces so you divide 63 by 3 and the answer is 21 inches for each individual piece.

Answer:

X+2

Step-by-step explanation:

A number is x plus 2

X+2

Let's simplify the expression step by step: Expand the squared term:

(x - 3y)² = (x - 3y)(x - 3y) = x² - 6xy + 9y²

Expand the second term:

3(x + y)(x − 4y) = 3(x² - 4xy + xy - 4y²) = 3(x² - 3xy - 4y²)

Expand the third term:

x(3x + 4y + 3) = 3x² + 4xy + 3x

Now, let's combine all the expanded terms:

(x - 3y)² + 3(x + y)(x − 4y) + x(3x + 4y + 3)

= x² - 6xy + 9y² + 3(x² - 3xy - 4y²) + 3x² + 4xy + 3x

Combining like terms:

= x² + 3x² + 3x² - 6xy - 3xy + 4xy + 9y² - 4y² + 3x

= 7x² - 5xy + 5y² + 3x

The simplified form of the expression is 7x² - 5xy + 5y² + 3x.

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Using the geometric mean theorem, the value of x is approximately 8.2.

The right triangle altitude theorem, also known as the geometric mean theorem, is a basic concept in geometry that connects the altitude of a right triangle to the two line segments it creates on the hypotenuse. According to the theorem, the altitude is equal to the geometric mean of the two line segments.

Using the theorem, we have:

14 = √(x * 24)

14² = 24x

196 = 24x

x = 196/24

x ≈ 8.2

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Answer:

D. 15x² + 62x + 63

Step-by-step explanation:

                  rectangle area: length * width

Here the length is ( 3x + 7 ) and width is (5x+9)

using the formula:

( 3x + 7 )(5x+9)

15x²+27x+35x+63

15x² + 62x + 63

Answer:

D. 15x^2 + 62x +63

Step-by-step explanation:

Area of rectangle = L x W

L = 3x + 7 ; W = 5x + 9

=> A = (3x + 7) x (5x +9) = 15x^2 + 62x +63