The approximation of I = scos (x2 + 5) dx using simple Simpson's rule is: COS -1.57923 0.54869 -0.93669 -0.65314

Answers

Answer 1

The approximation of the integral I = ∫s⋅cos(x² + 5) dx using simple Simpson's rule is: -1.57923.

Simpson's rule is a numerical method used to approximate definite integrals. It divides the interval of integration into several subintervals and approximates the integral using quadratic polynomials. In simple Simpson's rule, the number of subintervals is even.

The formula for simple Simpson's rule is:

I ≈ h/3 [f(x₀) + 4f(x₁) + 2f(x₂) + 4f(x₃) + 2f(x₄) + ... + 2f(xₙ₋₂) + 4f(xₙ₋₁) + f(xₙ)],

where h is the step size and n is the number of subintervals.

In this case, the function to be integrated is f(x) = s⋅cos(x² + 5), and we have the values of x and f(x) at each subinterval. By applying the formula of simple Simpson's rule and substituting the given values, we can calculate the approximation.

Based on the provided information, it appears that the approximation obtained using simple Simpson's rule is -1.57923. However, it is important to note that without additional context or information about the specific subintervals and step size, it is not possible to verify or provide a more detailed explanation of the calculation.

To know more about Simpson's rule, refer here: https://brainly.com/question/30459578#

#SPJ11


Related Questions

Box 1 has a volume of 210 cubic meters. Box 2 has a volume of 130 cubic meters. What is the total volume?

Answers

Answer:

340

Step-by-step explanation: 210 plus 130 equals 340 please give me brainlyist

7. Find the corresponding angle.

(look at the picture)

7. Find the corresponding angle.(look at the picture)

Answers

Answer:

angle SXV

Step-by-step explanation:

The angle measurements in the diagram are represented by the following expressions. A=5x-5 B=3x+13

Answers

Answer:

Step-by-step explanation: 5x-5=3x+13--->   5x-3x=13+5---> 2x=13+5---- 2x=18----> x=9 hope it helps

Answer:

Step-by-step explanation: 40

(-8, 4), (4, -4)
Write in standard form

Answers

Answer written in standard form:

2x + 3y = -4

9514 1404 393

Answer:

  2x +3y = -4

Step-by-step explanation:

The slope of the line is given by the slope formula:

  m = (y2 -y1)/(x2 -x1

  m = (-4 -4)/(4 -(-8)) = -8/12 = -2/3

This can be used in the point-slope formula to find an equation of the line:

  y -y1 = m(x -x1)

  y -4 = -2/3(x -(-8)) . . . . substituting for (x1, y1) and m

Multiplying by 3 eliminated fractions:

  3(y -4) = -2(x +8)

  3y -12 = -2x -16

Adding 2x+12 to both sides gives the standard form equation:

  2x +3y = -4

(HELP)
JK⎯⎯⎯⎯⎯ is tangent to ⊙G at point K , m∠JKG=(52x+1314)° , and m∠KGJ=(54x+998)° . What is m∠KGJ ?
m∠JGK= -----°

(HELP)JK is tangent to G at point K , mJKG=(52x+1314) , and mKGJ=(54x+998) . What is mKGJ ?mJGK= -----

Answers

Answer:

41°

Step-by-step explanation:

The tangent line of circle is perpendicular to the radius of a circle

m∠JKG = (5/2 x + 131/4)° = 90°

x = 22.90

m∠JGK = (5/4 x + 99/8)° = ((5/4 * 22.90) + 99/8)° = 41°

(HELP)JK is tangent to G at point K , mJKG=(52x+1314) , and mKGJ=(54x+998) . What is mKGJ ?mJGK= -----

The price for 2 kilograms of ham is $36.00. What is the unit price of ham per 100 grams?

Answers

Answer: $1.8

Step-by-step explanation:

From the question, we are informed that the price for 2 kilograms of ham is $36.00. We should remember that 1000 gram = 1 kilogram; therefore, 2 kilograms = 2000 grams.

The cost of a gram of ham will then be:

= $36.00/2000

= $0.018

The unit price of ham per 100 grams will be:

= 100 × 0.018

= $1.8

Help me pless!!!!!!!!!

Help me pless!!!!!!!!!

Answers

Answer:

p = 7

Step-by-step explanation:

2p = 14

p = 14/2

p = 7

Octavian became the emperor of Rome in 27 B.C. He ruled until his death in A.D. 14. How long did he rule as emperor?

Answers

The computation shows that the number of years ruled is 41 years.

How to compute the value?

From the information, Octavian became the emperor of Rome in 27 B.C and he ruled until his death in A.D. 14.

Therefore, the number of years that he rules will be:

= 14 - (-27)

= 14 + 27

= 41

Therefore, the number of years will be 41.

Learn more about computations on

brainly.com/question/4658834

#SPJ1

consider the dihedral point group constructed from two generators express a 3d matrix representation for the two generators of the group in the hexagonal basis

Answers

the groups generated by two elements of order 2 are K4  and dihedral group.

We are given that G be  a finite group with  x, y belong to G have two elements of order two.

We have to prove that <x,y> is either abelian or isomorphic  to a dihedral group.

<x,y> means the group generated by two elements of order 2.

We know that  Zn is a cyclic group and  number of elements of order 2 is always odd in number and generated by one element  .So , given group is not isomorphic to Zn

But we are given that two elements of order 2 in given group

Therefore, group G can be K4 or dihedral group

Because the groups generated by two elements of order 2 are K4  and dihedral group.

We know that  is abelian group of order 4 and every element of K4  is of order 2 except identity element and generated by 2 elements of order 2 and dihedral group can be  also generated by two elements of order 2

Hence, <x,y> is isomorphic to K4 or D2.

learn more about of dihedral group here

https://brainly.com/question/13162340

#SPJ4

Find the value of x so that the ratios are equivalent. 9:x and 54:8
I keep trying 48 its never right

Answers

Answer:

Maybe it is right, but you need to phrase it a different way

Step-by-step explanation:

like x= 48

or 48

or 9:48

you know

The value of x so that the ratios are equivalent is 48.

How to obtain real measurements from the ratio of two measurements?

Suppose the  real measurements were "a" and "b"

Then their ratio will be formed as

\(\dfrac{a}{b} = \dfrac{p \times x}{q \times x} = \dfrac{p}{q}\)

where  is a common factor (not 1)

Which shows that to get the real measurements from the given ratio, we need to assume to have some factor possibly cancelled from both the numerator and the denominator.

Thus, a = px, b = qx

Therefore, the value of x so that the ratios are equivalent.

9:x and 54:8

x= 48

or 9:48

Hence, the value of x so that the ratios are equivalent is 48.

Learn more about ratio here:

brainly.com/question/186659

#SPJ2

a person with tuberculosis is given a chest​ x-ray. four tuberculosis​ x-ray specialists examine each​ x-ray independently. if each specialist can detect tuberculosis ​% of the time when it is​ present, what is the probability that at least 1 of the specialists will detect tuberculosis in this​ person?

Answers

The probability that at least one of the specialists will detect tuberculosis in this person is 0.9999 or 99.99%.

To calculate the probability that at least one of the specialists will detect tuberculosis in this person, we can use the concept of the complement rule.Let's denote the probability that a specialist will detect tuberculosis as p. The probability that a specialist will not detect tuberculosis is then (1 - p).Since each specialist examines the x-ray independently, the probability that none of the specialists will detect tuberculosis is (1 - p) raised to the power of the number of specialists.Let's assume there are four specialists. The probability that none of them will detect tuberculosis is (1 - p)⁴.

Therefore, the probability that at least one of the specialists will detect tuberculosis is 1 minus the probability that none of them will detect tuberculosis.

Probability(at least one specialist detects tuberculosis) = 1 - Probability(none of the specialists detect tuberculosis)

= 1 - (1 - p)⁴

Substituting the given information that each specialist can detect tuberculosis % of the time when it is present (which means p = %/100), we can calculate the probability.

Probability(at least one specialist detects tuberculosis) = 1 - (1 - p)⁴

= 1 - (1 - %/100)⁴

For example, if each specialist has a 90% detection rate (% = 90), the probability would be:

Probability(at least one specialist detects tuberculosis) = 1 - (1 - 90/100)⁴= 1 - (1 - 0.9)⁴

= 1 - (0.1)⁴

= 1 - 0.0001

= 0.9999

Therefore, the probability that at least one of the specialists will detect tuberculosis in this person is 0.9999 or 99.99%.

Learn more about probability here:

https://brainly.com/question/23417919

#SPJ11

Can you please answer the question???

Can you please answer the question???

Answers

The volume of given triangular prism is 24,000 cubic yards.

What is the volume?

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Here, the dimensions of base are 30 yards and 20 yards.

Here, area = 1/2×30×20

= 300 yd²

Volume of a triangular prism = Area of base triangle × Length of the prism.

= 300×80

= 24,000 yd³

Therefore, the volume is 24,000 yd³.

To learn more about the volume visit:

https://brainly.com/question/13338592.

#SPJ1

Solve for w.

4 = 2w − 4

w =

Answers

The answer will be w=4
Yeah I agree with the other dude it’s 4

Helppppp please!!!!!!!

Helppppp please!!!!!!!

Answers

A: yes because it is a linear equation, and a strait line on the graph. B: Point (0,0) represents when there was no time passed and no blocks walked. C: The unit rate is 10 blocks per 5 mins or 2 blocks per minute (I think that’s what unit rate is) D: point (10,5) I believe. I’m sorry if this is not correct, I tried

Which pairs of rational numbers are equivalent? Select all that apply.
-0.5 and Negative one-half
0.ModifyingAbove 7 with barand StartFraction 7 over 10 EndFraction
StartFraction 11 over 20 EndFractionand 0.55
StartFraction negative 1 over 50 EndFractionand -0.02
0.15 and 0.1ModifyingAbove 5 with bar

Answers

Answer:

A C D

Step-by-step explanation:

Answer:

A C D

Step-by-step explanation:

Graph the equation then find the solution

Graph the equation then find the solution

Answers

By graphing the system of equations, we can see that the solution is (4, -2)

How to solve the system of equations?

Here we want to solve the system of equations:

y = (-3/2)*x + 4

y = (1/2)*x - 4

To solve this graphically, we just need to graph both equations on the same coordinate axis and find the point where the lines intersect.

The graph can be seen on the image at the end.

We can see that the solution is (4, -2)

Learn more about systems of equations:

https://brainly.com/question/13729904

#SPJ1

Graph the equation then find the solution

Four times Theo’s number added 20 is 10. what is theo’s number ?

Answers

Theos number is -2/5

4x + 20 = 10
-20 -20
4x = -10
x = -4/10
x = -2/5

Answer:

ur mom

Step-by-step explanation:

genehrrddjdhxxhdhdi hope this didnt help

Help me out and show me the full solution on how you solved it, please!​

Help me out and show me the full solution on how you solved it, please!

Answers

The value of each trigonometric identity is:

3/2

5/6

14/3

We have,

We will use the trigonometric formula and substitute the given values.

So,

Cosec θ

This can be written as,

= 1/ sin θ

= 1/(2/3)

= 3/2

And,

Sin θ

This can be written as,

= 1/ cosec θ

= 1/(6/5)

= 5/6

And,

Sec θ

This can be written as,

= 1/cosθ

= 1/(3/14)

= 14/3

Thus,

The value of each trigonometric identity is:

3/2

5/6

14/3

Learn more about trigonometric identities here:

https://brainly.com/question/14746686

#SPJ1

I need help asap 20 points

I need help asap 20 points

Answers

Answer:

Step-by-step explanation:

Input            Output

  1                  12

 2                    2*12 = 24

  3                   3*12 = 36

 4                    4*12 = 48

Function:

y = 12x

I WILL GIVE BRAINLIEST!!!

I WILL GIVE BRAINLIEST!!!

Answers

Answer:

Just watch the video

Step-by-step explanation:

1. Consider
dt
dy

=f(t,y),y(0)=y
0

. where f(t,y)=
2
1

(y+1)(3−y)t,y
0

=1 (a) (2 pts) Solve this initial value problem and write its exact solution y(t). (b) (5 pts) Use Euler's method with h=0.1 to obtain a numerical solution u(t) at t=3 and plot the numerical solution u(t) (solid line) along with the exact solution y(t) (dashed line) for 0≤t≤3. (c) (3 pts) Compute the error e
1

defined by e
1

=max∣u(t)−y(t)∣(0≤t≤3) for h=0.1, 0.05, and 0.025, and make a table showing the variation of e
1

with h. What do you observe? 2. Consider the second-order Runge-Kutta method (or improved Euler's Method), which is given by v
n+1

=v
n

+
2
h

(k
1

+k
2

), where k
1

=f(t
n

,v
n

),k
2

=f(t
n

+h,v
n

+hk
1

). (a) (7 pts) For the initial value problem considered in Problem 1, find a numerical solution v(t) at t=3 with h=0.1 and plot the numerical solution v(t) (solid line) along with the exact solution y(t) (dashed line) for 0≤t≤3. (b) (3pts) Compute the error e
2

defined by e
2

=max∣v(t)−y(t)∣(0≤t≤3) for h=0.1, 0.05, and 0.025, and make a table showing the variation of e
2

with h. What is the difference between the two numerical methods?

Answers

In problem 1, an initial value problem is given with a first-order differential equation. The exact solution, y(t), is obtained, and Euler's method is used with different step sizes to obtain numerical solutions, u(t), at t=3.In problem 2, the second-order Runge-Kutta method (improved Euler's method) is applied to the same initial value problem. The numerical solution, v(t), is obtained at t=3 with h=0.1.

In problem 1, the initial value problem is solved analytically to obtain the exact solution, y(t). Euler's method is then applied with different step sizes (h) to approximate the solution numerically at t=3. The numerical solution, u(t), is plotted alongside the exact solution, y(t), to visualize their comparison. The error, e1, is calculated as the maximum absolute difference between u(t) and y(t) over the interval [0, 3]. By varying the step size and computing e1, the effect of the step size on the accuracy of the numerical solution can be observed.

In problem 2, the second-order Runge-Kutta method is employed to approximate the solution numerically. The numerical solution, v(t), is computed at t=3 with h=0.1 and compared to the exact solution, y(t), through a plot. The error, e2, is calculated as the maximum absolute difference between v(t) and y(t) over the interval [0, 3]. By computing e2 for different step sizes and comparing it to e1 from problem 1, the difference between the two numerical methods can be observed in terms of accuracy and convergence.

Learn more about Euler's method here:

https://brainly.com/question/30699690

#SPJ11

15% of $30=
A $0.45
B $2.00
C $ 0.50
D $4.50
E None​

Answers

15% of $30 is $4.50 because​ of the​ concept of pe​rce​ntage​ which is a chapter from mathematics.

Give​n: 15% of $30

Find: You need to find the 15% rate of $30.

Solution: A percentage can be defined as a number or ratio expressed as a fraction of 100. It is often denoted by the percent sign (%), but the abbreviation percent, percent, and in some cases percent is also used. Percentages are dimensionless numbers (pure). There are no units of measurement.

Example: If 25% of the total number of students in a class are male, 25 out of 100 are male. He has 500 students, 125 of whom are male.

So 15% of $30 = (15/100) x $30 = 0.15 x $30 = $4.50.

So using the percentage gives the answer  as $4.50.

 Therefore, percentages are very  useful in our daily life.

To learn more about percentages, refer to:

https://brainly.com/question/24877689

Histograms based on data on _________ ______ and ________ typically are skewed to the right.

Answers

By organizing countless data points into comprehensible ranges or bins, the histogram, which resembles a bar graph in appearance, condenses a data series into an understandable visual. So Histograms based on data on housing, prices and salaries typically are skewed to the right.

A histogram in statistics is a graphic depiction of the data distribution. The histogram is shown as a collection of rectangles that are next to one another, where each bar represents a different type of data.

A branch of mathematics called statistics is used in many different fields. Frequency is the term for how often numbers appear in statistical data; it can be shown as a table and is known as a frequency distribution.

A histogram is a bar graph-like data visualization that groups various class levels into columns along the horizontal x-axis. The numerical count or percentage of occurrences for each column in the data are shown on the vertical y-axis.

To learn more about Histograms link is here

brainly.com/question/30331733

#SPJ4

Elia rode her bicycle from her house to the beach at a constant speed of 181818 kilometers per hour, and then rode from the beach to the park at a constant speed of 151515 kilometers per hour. The total duration of the rides was 111 hour and the distances she rode in each direction are equal.
Let bbb be the number of hours it took Elia to ride from her house to the beach, and ppp the number of hours it took her to ride from the beach to the park.

Answers

The number of hours it took from her house to the beach is 50.5 hour while The number of hours it took from her beach to the park is 60.5 hour.

What is the number of hours it took Elia from her house?

Given:  speed from house to the beach (Sb) = 181818 km/h, speed from the beach to park (Sp) = 151515 km/h and total duration(T) = 111 h.

Also, we are told the distances are the same. Let's represent that with the letter D

We are instructed to represent the number of hours it took Elia to ride from her house to the beach with bbb and the number of hours it took her to ride from the beach to the park with ppp.

From the information we can say:

bbb + ppp = T

bbb + ppp = 111

Also:  ppp = 111 - bbb

Using the formula for speed:

Speed = distance / time

Sp = D/ppp

151515 = D/ ppp

D = 151515 x ppp

Also:

Sb = D/ppp

181818 = D/ bbb

D = 181818 x bbb

Since the distances (D) are the same. We can equate the two distances:

181818 x bbb = 151515 x ppp

   

Put ppp = 111 - bbb:

181818 x bbb = 151515 x (111 - bbb)

181818bbb = 16818165 - 151515bbb

181818bbb + 151515bbb = 16818165

333333bbb = 16818165

bbb = 16818165/333333 = 555/11 hour = 50.5 hour

Put bbb = 555 into ppp = 111 - bbb:

ppp = 111 - 555/11  = 666/11 hour = 60.5 hour

Therefore, the number of hours it took her to ride from her house to the beach and the number of hours it took her to ride from the beach to the park are  50.5 hour and 60.5 hour respectively.

Learn more about speed, distance and time on:

https://brainly.com/question/553636

#SPJ1

Evaluate this expression. 32 + (−72.1) please answer

Answers

Answer:

-40.1

Sorry if it's wrong but Hope it Helps!~

The cost of an
8
-ounce box of cereal is
$
1.68
. At this rate, what is the cost per ounce of the cereal, in dollars and cents?

Answers

Answer:

.21 cents

Step-by-step explanation:

To get .21 do 1.68 divided by 8

1.68 ÷ 8 = .21

Hope this helps ya!!

What is the Systematic Approach algorithm?

Answers

The Systematic Approach algorithm is a problem-solving methodology that is widely used in many different fields, such as engineering, business, and science.

It is a structured and systematic process that involves identifying a problem, analyzing it, generating possible solutions, evaluating these solutions, and selecting the best one. The algorithm is also known as the "systems engineering process" or "systems analysis and design."

The algorithm is typically divided into several phases, including:

Problem identification: This involves defining the problem, its boundaries, and its scope. This step also involves identifying the objectives and constraints of the problem. Analysis: This step involves gathering data and information related to the problem, and identifying the root cause of the problem. This may involve conducting surveys, interviews, or experiments. Design: In this step, potential solutions are generated, and a conceptual design is created. The design should be flexible enough to allow for the incorporation of new information and changes. Evaluation: The potential solutions are evaluated based on predetermined criteria, and the best solution is selected. Implementation: The selected solution is implemented and monitored to ensure it is working effectively. Any necessary modifications or adjustments are made during this phase.

The Systematic Approach algorithm is a powerful tool for problem-solving as it provides a structured, step-by-step approach to analyzing and solving complex problems. It also allows for a thorough understanding of the problem and its potential solutions, as well as the ability to evaluate and select the best solution based on predefined criteria.

To know more about  Systematic Approach  click here:

brainly.com/question/30576326

#SPJ4

Verizon charges $76.00 for 500 minutes and Sprint charges $54.00 for 450 minutes. Who has the better deal? *

Answers

Answer:

i think it would be sprint cause it is lest money and the mintues is 450 but the other is just 50 more mintues and you have to pay 22 more dollor for verizion  so i pick sprint have a nice day

Step-by-step explanation:

Find the seasonalized forecast for Q2 of 2017.The sales trend
has been modeled as: Sales = 181.00+ 2 * t , where t= time in
quarters, beginning in Q1 2014. Seasonality for the four quarterly
periods i

Answers

The sales trend Sales = 181.00 + 2t where t= time in quarters, beginning in Q1 2014The seasonal factors for the four quarters are i.e: {0.9, 1.1, 1.2, 0.8}

To find the seasonalized forecast for Q2 of 2017, the following steps must be followed:

Step 1: Calculate trend for the Q2 of 2017 t = 3.25

Step 2: Determine seasonal factor for Q2 which is 1.1 since it's the second quarter

Step 3: Multiply trend and seasonal factors to get seasonalized trend for Q2 = (181 + 2(3.25)) * 1.1 = 198.95

Step 4: Therefore, the seasonalized forecast for Q2 of 2017 is 198.95.

Therefore, we have Sales = 181.00 + 2t where t is the time in quarters, starting from Q1 2014. In other words, t = 1 for Q1 2014, t = 2 for Q2 2014, and so on.

In addition, we have seasonal factors for each quarter, i.e, {0.9, 1.1, 1.2, 0.8}.

To calculate the seasonalized forecast for Q2 of 2017, we need to follow the following steps:

Step 1: Calculate trend for the Q2 of 2017t = 3.25 [since there are 13 quarters between Q1 2014 and Q2 2017.

The 13th quarter corresponds to Q2 2017. So, t = 13. Therefore, t = 2 + 4(13 - 1) = 3.25]

Step 2: Determine the seasonal factor for Q2 of 2017

The seasonal factor for Q2 of 2017 = seasonal factor for the second quarter = 1.1

Step 3: Multiply trend and seasonal factors to get seasonalized trend for Q2

Therefore, seasonalized trend for Q2 of 2017 = (181 + 2(3.25)) * 1.1 = 198.95Step 4:

Therefore, the seasonalized forecast for Q2 of 2017 is 198.95.

To know more about seasonal factors visit:

brainly.com/question/33046478

#SPJ11

how to solve and algebraic riccati equation using matlab

Answers

You can solve an algebraic Riccati equation using MATLAB.

How to solve and algebraic riccati equation using matlab:

Here's a step-by-step guide:

STEP 1: To solve an algebraic Riccati equation using MATLAB, you will need to use the built-in function `care`.

This function is part of the Control System Toolbox, so ensure you have that installed.

STEP 2: Define the matrices A, B, Q, and R in your equation.

The algebraic Riccati equation is of the form:
  A'*X + X*A - X*B*R^(-1)*B'*X + Q = 0

Here's an example of how you might define these matrices in MATLAB:

```MATLAB
A = [1 2; 3 4];
B = [5; 6];
Q = [1 0; 0 1];
R = 1;
```

STEP 3: Use the `care` function to solve the algebraic Riccati equation.

The syntax is:

```MATLAB
X = care(A, B, Q, R);
```

STEP 4:  After running the above code, the variable `X` will store the solution to the algebraic Riccati equation.

You can display the result by typing `X` in the command window.

Remember to replace the example matrices A, B, Q, and R with the ones specific to your problem.

To know more about MATLAB:

https://brainly.com/question/30552909

#SPJ11

Other Questions
WILL MARK BRAINLIEST 1. When is it best to solve a system of equations using graphing?2. When is it best to solve a system of equations using substitution?3. When it is best to solve a system of equations using elimination? When it is Plz answer all questions Astock has an expected return of 12.5%. Given a risk-free rate of1.6% and a market return of 6.5%, what is the of this stock?Enter your answer rounded to 2 DECIMAL PLACES. Some studies show that high school students are more successful when the school day begins after 9 am. To test this theory,Lake High School changes its school day start time from 7 am to 9 am. Which of the following methods would best describethe study above?O A experimental studyOB. observational studyOC. surveyODcontrolled experimentaResetSubmit 26m18m4m39mNeed to find the area of this shape anyone? 43. Which of the following is the design element that you would add to an otherwise stiff object to allow it to bend-like knees on a leg- or to otherwise add an area to alter eg. scale down tocreate a waist?A. a vertice pointB. a bendable jointC. an edge loopD. a slip knot The term ______________ refers to an arranged group of different algorithms used for authentication, encryption/decryption, digital signatures, and hashing. Why were laws like the Twelve Tables unable to prevent corruption in the later Roman Empire? Density is determined by:weight and sizecolor and hardnessgravity and massmass and volume along how many different directions do you need to measure strain during testing in order to determine poisson's ratio? in an example presented in a lecture video about evolution, a population of bugs has varying colors ranging from gray to black. they live on black soil, and birds swoop (fly) down and eat them. describe the evolution of that population of bugs, explaining what is happening to the population of bugs and the alleles in the population. Velopharyngeal insufficiency is failure of the velopharyngeal mechanism to separate the ________ and ________ cavities during speech and swallowing. Complete the proof:-Given: 102x = 3(x - 2) + 4Prove: x = 121. 10 2x = 3x - 6 + 4[ Select ]2. 10 2x = 3x 2 [Select]3. 10 = 5x 2 (Select]4. 12 = 5x [Select]5.1 = x (Select6. x =(Select] the perception that our fate is determined by chance events is most closely associated with what concept a. Assuming that the table gives today's prices, what was the firm's closing price yesterday? (Round your answer to 2 decimal places.) b. How many shares could you buy for $5,000? (Round your answer to 2 decimal places.) c. What would be your annual dividend income from those shares? (Round your answer to 2 decimal places.) d. What must be General Dynamics earnings per share? (Round your answer to 2 decimal places.) Listing of stocks traded on the New York Stock Exchange Source: WSJ Online, May 5, 2017 Game Stop CIA Gannett Gap GasLog Partners GATX GCP Applied Technologies Genco Shipping & Trading General Cable General Dynamics General Electric 52- 52- Net Week Week YTD Symbol Close Chg Vol High Low Div Yield PE %Chg GME 23,57 -0.40 1,440,828 3267 20.10 1.52 6.45 6.87 -6.69 GCI 8.40 -0.45 824,448 16.48 7.30 0.64 7.62 23.33 -13.49 GPS 25.70 -0.41 3,705,292 30.74 17.00 0.92 3.58 15.21 14.53 GLOP 23.00 -0.65 310,485 25.20 17.26 2.00 8.70 9.75 11.92 GATX 59.19 -0.32 342,362 64.46 40.66 1.68 2.84 9.77 -3.88 433,531 34.05 22.06 ... ... 33.37 25.98 GNK 9.71 -0.64 200,018 14.99 3.62 ... ... ...dd 31.57 BGC 18.55 0.90 745,461 20.80 11.65 0.72 3.88 ...dd -2.62 GD 194.55 0.37 1,085,423 196.97 132.68 3.36 1.73 20.03 12.68 GE 29.20 -0.03 19,159,156 33.00 28.19 0.96 3.29 27.21 -7.59 Suppose the average lifetime of a certain type of car battery is known to be 60 months. Consider conducting a two-sided test on it based on a sample of size 25 from a normal distribution with a population standard deviation of 4 months.a) If the true average lifetime is 62 months and =0.01, what is the probability of a type II error Tyra will flip a red and yellow counter and spin a spinner labeled A-E. If Tyra flips the counter and spins the spinner, then list only the outcomes in which a red counter and a vowel are spun. (Select all that apply)red, Ared, Eyellow, Ayellow, Ered, B can somebody please explain to me what Shi Huangdi means Describe the function of the tissue of the vascular bundle.WILL GIVE BRAINLIEST Solve the system using elimination. show all steps please. please answer i have a dba in a few minutes. will give brainliest2x - 3y = 18 x + y = 24 A group of students formed a circle during a game. The circumference of the circle was about 43.96 feet, and the diameter of the circle was 14 feet.Which expression best represents the value of pi