Separate 185 into two parts so that one part is 31 more than the other part. Find each part.

The first physical coordinate y1 can be expressed as y1 = [1 0 0]Y, & The mass-normalised mode shapes can be  normalising the mode shape vectors f1, f2, and f3.

Part (a)

In Equation Q2, the spectral matrix, undamped natural frequencies, damping ratios, and fundamental frequency need to be calculated.

The mass matrix is given by [85.16400 083.3770 0046.999; 0.079400 00.7030 001.07 × 10; 0.013600 03.1390 005.124 × 10].

The stiffness matrix is given by [0.16400 00.3770 000.999; 0.079400 00.7030 001.07 × 10; 0.013600 03.1390 005.124 × 10].

The damping matrix is given by [0 0 0; 0 0 0; 0 0 0].The undamped natural frequencies, damping ratios, and fundamental frequency for the system in Equation Q2 can be calculated from the spectral matrix.

The characteristic equation can be written as det(K-mω^2M)=0.where K is the stiffness matrix, M is the mass matrix, ω is the angular frequency, and m is the mass-normalised mode shape.

The roots of this equation are the undamped natural frequencies, and the damping ratios can be calculated from the undamped natural frequencies and mode shapes.

The mass-normalised mode shapes can be calculated by normalising the mode shape vectors f1, f2, and f3.

Part (b)

The mass-normalised mode shapes can be calculated using the mode shape vectors f1, f2, and f3.Part (c)The response of the system for the first physical coordinate y1 can be calculated using the mode superposition method. The initial modal displacements and velocities are given in terms of the modal coordinates.

The response is then calculated using the equation y(t)= Σ ai φi(t), where ai are the modal amplitudes, and φi(t) are the modal shapes given by the mode shape vectors f1, f2, and f3.

The first physical coordinate y1 can be expressed as y1 = [1 0 0]Y, where Y is the vector of physical coordinates. The modal amplitudes can be calculated from the initial modal displacements and velocities.

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Let's take any 2 points from the line.

1. (-4,-2)

2. (-2,-7)

\(slope \\ = \frac{Δy}{Δx} \\ = \frac{y_{2} - y_1}{x_{2} - x_1} \\ = \frac{ 7 - ( - 2)}{ - 2 - ( - 4)} \\ = \frac{5}{2} \\ = 2 \frac{1}{2} \\ = 2.5\)

Since the expression (a×b)×c=a×(b×c) is the same even with the arrangement alteration, hence it connotes the multiplicative property of commutativity

A binary operation is commutative if changing the order of the operands does not change the result.

For instance A +B = B + A is a commutative property since changing the position does not affect result.

We have the addition property and multiplicative property of commutativity

Since the expression (a×b)×c=a×(b×c) is the same even with the arrangement alteration, hence it connotes the multiplicative property of commutativity

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Answer:

     j/k + 6

Step-by-step explanation:

Add 6 to the quotient of j and k comes out to:

                                  j/k + 6

Answer:

7

Step-by-step explanation:

\((tangent)^{2}\) = AC × CB

 \(12^{2}\) = ( x + 9 ) 9

 144 = 9x + 81

 9x = 144 - 81

 9x = 63

 x = 63 ÷ 9

 x = 7

Answer:

come have IT with me baby

Step-by-step explanation:

it will make us feel better

Answer: approx. 75 cents / muffin

Step-by-step explanation: divide 6.8 by 9

Answer:

$0.75

Step-by-step explanation:

6.8 divide by 9=0.755555556 and so its 0.75 cents per muffin

\(y=\stackrel{\stackrel{m}{\downarrow }}{-1}x+\underset{\underset{\textit{\small b }}{\uparrow }}{5}\implies y=-x+5\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)

A two-sample t-test (independent samples) would be used to determine if there is a difference in the mean amount of time for each shift to process 100 pounds of coconuts.

A t-test is a statistical test that compares the means of two groups or samples. It allows you to determine if there is a significant difference between the means of two sets of data.The most basic type of t-test is a two-sample t-test.

This is used when you want to compare the means of two independent groups. In this case, we have the day shift and night shift, which are independent groups. Hence, we would use a two-sample t-test (independent samples) to determine if there is a difference in the mean amount of time for each shift to process 100 pounds of coconuts.

The one-way ANOVA is used when you have more than two independent groups to compare, randomized block ANOVA is used when the samples are paired, and the paired t-test is used when you have two dependent samples.

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The statement "The number of solutions to the system of inequalities above is infinite" is False.

To determine the number of solutions to a system of inequalities, we need to analyze the relationships between the inequalities and their solution regions.
However, the given statement does not provide a specific system of inequalities or any information about the inequalities themselves. Without the specific inequalities, it is not possible to determine whether the number of solutions is infinite or not. The statement is incomplete and cannot be evaluated as True or False.
In general, the number of solutions to a system of inequalities can vary depending on the specific conditions and constraints imposed by the inequalities. Some systems may have no solution, a unique solution, or infinitely many solutions. To determine the number of solutions, we need to analyze the inequalities and their solution regions using methods such as graphical representation, algebraic manipulation, or linear programming techniques.

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The average change in elevation of the object in meters per second is -69/10.

Find the change in elevation of the object. The object started at an elevation of 0 meters and fell to an elevation of -4.9 meters. Therefore, the total change in elevation was -4.9 meters.

The time elapsed was 0.71 seconds.

Calculate the average change in elevation per second. Divide -4.9 meters by 0.71 seconds to get -6.90 meters per second. Express the answer as a rational number. -6.90 meters per second can be expressed as -69/10 meters per second. Therefore, the average change in elevation of the object, in meters per second, is -69/10.

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Answer:

(-4,0) and (4,0)

Step-by-step explanation:

The x-intercepts occur for values of x where f(x) = 0.

f(x) = 0 when the nominator (\(x^{2} - 16\)) = 0.

\(x^{2} -16\) is a difference of squares,
so you can factor it as (x + 4)(x – 4)

When x = –4 or x = 4, the nominator is 0, and f(x) = 0

Answer:

it's wrong

Step-by-step explanation:

because the answer in this 7.8 + 2(0.75m+ 0.4) is not 6.4

Answer:

B she is incorrect because when substituting 2 for m the result was a false statement

Step-by-step explanation:

i just did it on edge

There are 462 different ways to select a planning board of 6 scientists from a group of 11 scientists.

The problem requires selecting 6 scientists from a group of 11 scientists. This is a combination problem, and the formula for combination is nCr, where n is the total number of items, and r is the number of items to be selected. The formula is given by:

nCr = n! / (r! * (n-r)!)

Where "!" denotes the factorial of a number, which is the product of all positive integers up to that number.

Using the given formula, the number of ways of selecting a planning board of 6 scientists can be calculated as:

11C₆ = 11! / (6! * (11-6)!)

= (11109876!) / (6! * 54321)

= (1110987) / (5432*1)

= 462

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A homogeneous equation.

Yes, the following are linear equations:
(A) Ut = (xux)2 + (yuy)y + xy
This equation can be put in the form Lu linear operator L as follows: LAUt = 0, which is a homogeneous equation.

(B) uux + Uxxx = Ut
This equation can be put in the form Lu linear operator L as follows: LBu = Ut, which is an inhomogeneous equation.

(C) Utt = Uxxxx + Uyyyy
This equation can be put in the form Lu linear operator L as follows: LCT = 0, which is a homogeneous equation.

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Answer:

Step-by-step explanation:

1x+3x+4x= 128

8x=128

x=128/8

x=16

therefore,

room 1 = 1x

           = 1*16=16

room 2 = 3x

            =3*16=48

room 3 = 4x

            =4*16=64

PLS MARK BRAINLIEST, THNX

There are 3432 bit strings of length 14 with the same number of 0s as 1s.

(a) How many bit strings of length 14 have exactly three 0s?
To find this, we can use the combination formula: C(n, k) = n! / (k!(n-k)!), where n = 14 (length of the bit string) and k = 3 (number of 0s).
C(14, 3) = 14! / (3!(14-3)!) = 14! / (3! * 11!) = 364
So, there are 364 bit strings of length 14 with exactly three 0s.

(b) How many bit strings of length 14 have the same number of 0s as 1s?
Since the bit string has 14 bits, we need 7 0s and 7 1s for the same count.

C(14, 7) = 14! / (7!(14-7)!) = 14! / (7! * 7!) = 3432
So, there are 3432 bit strings of length 14 with the same number of 0s as 1s.

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Answer:

x=3

z=112

Step-by-step explanation:

9x-27 needs to be solved for x.

Set the equation equal to zero.

9x-27=0

Now add 27 to both sides.

9x=27

Divide both sides by 9

x=3

Plug 3 into 5x+53 to find the angle.

5(3)+53=15+53=68.

Since 5x+53 and Z are  on the same line, that means, when added together, they equal 180 degrees. Subtract 68 from 180.

z=112

Step-by-step explanation:

c a

Answer:

The height is 5 feet

H= v/b

Step-by-step explanation:

Answer:

Our radius is already given, 8.

8 x 3.14 x 2 = 50.24cm <-------- perimeter/circumference

8^2 x 3.14

64 x 3.14 = 200.96cm2 <------- area

Formula of a circumference:

2πr

2 x pie x radius (pie can be used as 22/7 or 3/4 most likely 3.14)

Formula of an area of a Circle:

πr^2

pie x radius squared (pie can be used as 22/7 or 3.14)

The symbol ∠ is used to denote an angle. The symbol m ∠ is sometimes used to denote the measure of an angle.

x = 15

∠H = 82

∠I = 49

∠G = 49

Note that side HG and side HI are congruent ( indicated by the little dashed line ) which means that their opposite angles are congruent ( ∠I and ∠G to be more specific. )

Angles in a triangle add up to equal 180°

Hence, 3x + 37 + 2 ( 4x - 11 ) = 180 ( note that the 2 in 2(4x - 11) came from angles I and G being congruent )

We now solve for x

3x + 37 + 2 ( 4x - 11 ) = 180

step 1 distribute the 2 to the 4x and -11

2 + 4x = 8x

-11 * 2 = -22

we now have 3x + 37 + 8x -22 = 180

step 2 combine like terms

3x + 8x = 11x

37 - 22 = 15

we now have 11x + 15 = 180

step 3 subtract 15 from each side

15 - 15 cancels out

180 - 15 = 165

we now have 11x = 165

step 4 divide each side by 11

11x / 11 = x

165 / 11 = 15

we're left with x = 15

Our final step is to find the measures of ∠G, ∠H and ∠I

We can do this by simply replacing x with 15 in their given expression

∠H = 3x + 37

* substitute 15 with x *

3 ( 15 ) + 37

3 * 15 = 45

45 + 37 = 82

Hence, ∠H = 82

∠I = 4x - 11

* substitute x with 15 *

4(15) - 11

4 * 15 = 60

60 - 11 = 49

Hence, ∠I = 49

Like stated previously ∠G and ∠I are congruent

Hence, ∠G = 49

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Answer:

Solving for A.

8 = 1

Step-by-step explanation:

a=P

8=674

8=84.25

The chance of spelling C-H-A-N-C-E in that order is 0.0015 or 0.15%.

To calculate this, we need to multiply the probabilities of drawing each letter in the correct order.
For the first letter, C, there are 3 C tiles out of 15 total tiles, so the probability is 3/15 or 1/5.
For the second letter, H, there are 3 H tiles out of 14 remaining tiles, so the probability is 3/14.
For the third letter, A, there are 3 A tiles out of 13 remaining tiles, so the probability is 3/13.
For the fourth letter, N, there are 3 N tiles out of 12 remaining tiles, so the probability is 3/12 or 1/4.
For the fifth letter, C, there are 2 C tiles out of 11 remaining tiles, so the probability is 2/11.
For the sixth letter, E, there are 3 E tiles out of 10 remaining tiles, so the probability is 3/10.
Multiplying all of these probabilities together gives us the overall probability of spelling C-H-A-N-C-E in that order:
(1/5) * (3/14) * (3/13) * (1/4) * (2/11) * (3/10) = 0.0015 or 0.15%

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Area of rectangle is 2x⁶ + 16x⁵ + 30x⁴ when A rectangle has a height of 2x^42x 4 2, x, start superscript, 4, end superscript and a width of x^2+8x+15x 2 +8x+15x, squared, plus, 8, x, plus, 15.

The area a rectangle occupies is the space it takes up inside the limitations of its four sides. The dimensions of a rectangle determine its area. In essence, the area of a rectangle is equal to the sum of its length and breadth. When calculating a rectangle's area, we multiply the length by the width of the rectangle. The region that an object's shape defines as its area. The area of a figure or any other two-dimensional geometric shape in a plane is how much space it occupies.

Given

Rectangle's height = 2x⁴

Rectangle's width = x² + 8x + 15

Area of rectangle

Height × Width

2x⁴ × x² + 8x + 15

2x⁶ + 16x⁵ + 30x⁴

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HELP ME PLES

PERIOD, FREQUENCY OR AMPLITUDE

1. Doesn't change period

2. More of this means more energy

3. Increases as a pendulum swings back and forth faster

4. Measured in cycles per second

5. Measured in meters or centimeters

6. This is decreases with smaller swing

7. If the frequency increases, this decreases

8. Measured in Hertz

9. Measured in seconds

10. if it swings back and forth slower, this decrease

11. As it dampens, this decreases

Answer:

√65

Step-by-step explanation:

I am pretty sure this is the correct answer :)

Answer:

d = √(x2 - x1)² + (y2 - y1)²           given two points, (-5, 1)  (3, 0)

d = √(3 - (-5)² + (0 - 1)²

d = √(8)² + (-1)²

d = √64 + 1

d = √65       B. is the answer

Step-by-step explanation: