HELP! DUE TODAY!!
Find the perimeter of the composite shape shown below.
A.50m
B.30m
C.90m
B.42m

HELP! DUE TODAY!!Find The Perimeter Of The Composite Shape Shown Below.A.50mB.30mC.90mB.42m

Answers

Answer 1
It is A C is to high and B and D are 2 low of answers.

Related Questions

Here we will highlight two risk methodology that could be used:DREADDREAD, is about evaluating each existing vulnerability using a mathematical formula to retrieve the vulnerability’s corresponding risk. The DREAD formula is divided into 5 main categories:Damage - how bad would an attack be?Reproducibility - how easy it is to reproduce the attack?Exploitability - how much work is it to launch the attack?Affected users - how many people will be impacted?Discoverability - how easy it is to discover the threat?DREAD formula is:Risk Value = (Damage + Affected users) x (Reproducibility + Exploitability + Discoverability).Then the risk level is determined using defined thresholds below.

Answers

The influence of all these risks are explained below in the sequential manner.

The DREAD risk methodology is a quantitative approach for evaluating the risk posed by security vulnerabilities. This methodology assigns a numerical value to each vulnerability based on the likelihood of it being exploited and the potential impact of an exploit. The DREAD methodology is based on the following five factors:

Damage: The extent of harm that an attack could cause.

Reproducibility: The ease with which an attack can be replicated.

Exploitability: The level of effort required to launch an attack.

Affected users: The number of people who could be impacted by the attack.

Discoverability: The ease with which the threat can be discovered.

To calculate the risk value, the DREAD formula multiplies the sum of the damage and affected users by the sum of the reproducibility, exploitability, and discoverability. The resulting risk value is then compared to predefined thresholds to determine the risk level.

This methodology provides a systematic and objective way of evaluating risk, which can help organizations prioritize their security efforts and make informed decisions about which vulnerabilities to address first. However, like any methodology, the DREAD approach has its limitations, and it is important to consider other factors, such as the likelihood of an attack, when evaluating risk.

Therefore, The influence of all these risks is explained above in a sequential manner.

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Which shows the pre-image of quadrilateral W'X'YZ' before the figure was rotated according to the rule (x,y)
- (X,Y)?


!!!answer is C!!!

Answers

I guess c it is? I can’t see the picture lol

A chocolate egg costs $1.20. One chocolate egg in 12, on average, contains a limited edition egg. If a
child buys a chocolate egg every week, find the expected total costs of the chocolate eggs bought, up to
and including the first egg with a limited edition toy.

Answers

Answer: the expected total cost of the chocolate eggs bought is $1.20.

Step-by-step explanation:

To find the expected total cost of the chocolate eggs bought, up to and including the first egg with a limited edition toy, we need to consider the probability of getting a limited edition toy in each egg.

The probability of getting a limited edition toy in one chocolate egg is 1/12, as given in the problem.

Let's denote the expected number of chocolate eggs the child needs to buy until they get a limited edition toy as E. We can set up an equation for E using the concept of expected value:

E = 1 + (1/12)(E-1)

Here's how the equation is derived:

The child needs to buy at least one chocolate egg, so we start with 1.

The probability of getting a limited edition toy is 1/12. If the child does not get a limited edition toy in the first egg, they would need to continue buying chocolate eggs until they get one. Therefore, we add (1/12)(E-1) to the expected value.

Simplifying the equation:

E = 1 + (1/12)E - 1/12

12E = 12 + E - 1

11E = 11

E = 1

The expected number of chocolate eggs the child needs to buy until they get a limited edition toy is 1.

Since each chocolate egg costs $1.20, the expected total cost of the chocolate eggs bought, up to and including the first egg with a limited edition toy, is $1.20.

Triangle EFG is transformed to create triangle E'F'G'.

2 triangles have identical side lengths and angle measures. The second triangle is rotated to the right.
Which transformation occurred?

translation
stretch
rotation
reflection

Answers

Triangle EFG was transformed to create triangle E'F'G' with identical side lengths and angle measures, and the second triangle is rotated to the right. the transformation is a c. rotation. Therefore, option c. rotation is correct.

Rotation is the change that took place. A figure is transformed by a rotation in which the centre of rotation is moved from one side to the other. Triangle EFG was in this instance rotated to the right, or around a point to the left of the triangle.

The two triangles are said to be congruent if their side lengths and angle measurements are the same. As a result, they are capable of being changed into one another by a series of translations, rotations, and reflections.

A transformation known as a translation involves moving a figure while maintaining its original size and shape. Stretching is a transformation that increases a figure's size while maintaining its shape. A transformation that flips a figure over a line is called a reflection.

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Answer: c. rotation is correct.

Step-by-step explanation:

can someone respond to my last question?

Answers

I can try to help you out

Answer:

i will try to help you

Step-by-step explanation:

If you know the length of the short leg of a 30-60-90 triangle, how do you find the length of the other, longer leg?

Answers

The length of the longer leg of this 30-60-90 triangle is 6.93 units.

In a 30-60-90 triangle, the length of the shorter leg is opposite to the 30-degree angle. The longer leg is opposite to the 60-degree angle, and the hypotenuse is opposite to the 90-degree angle.

The ratio of the sides in a 30-60-90 triangle is always the same. The length of the shorter leg is half of the length of the hypotenuse. The longer leg is the square root of three times the length of the shorter leg.

Let's use this information to solve a problem. Suppose you have a 30-60-90 triangle with a shorter leg of length 4 units. We can use the ratio to find the length of the longer leg.

The length of the hypotenuse is twice the length of the shorter leg, which is 2 times 4 units = 8 units.

The longer leg is the square root of three times the length of the shorter leg, which is the square root of three times 4 units = 6.93 units.

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please help me I don't have that much time so please.​

please help me I don't have that much time so please.

Answers

Distance traveled=2/3miTime=1/6h

We need Speed

\(\\ \tt\hookrightarrow Speed=\dfrac{Distance}{Time}\)

\(\\ \tt\hookrightarrow Speed=2/3\div 1/6=2/3(6)=2(2)=4mph\)

Please Help me with number 13 IF LM=3,MH=k/9 and LH=5,find K

Please Help me with number 13 IF LM=3,MH=k/9 and LH=5,find K

Answers

According to the question, the given parameters with different numbers for the line LH is as follows:

LM =3, MH = k/9 and LH =5

To calculate the distance of the line LH, the expression can be written as:

LH = LM+MH

Substitute the given parameters in the above expression:

5 = 3 + (k/9)

Now, solving above expression, we get the calculated value for the variable 'k':

k = 18 units

Hence, the calculated value for the variable k = 18 units.

How to define distance for the line?

Distance defines the length segment of the line in the coordinate geometry. It is respective length between the two points. In this, the line segment is divided into two parts.

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Please help with this

Please help with this

Answers

Answer:

C and D

Step-by-step explanation:

an input gives one output

If A= [3 4 7] B= [7 6] and k= -2
[0 6 9] [1 4]
[2 1 5] [3 1]
Then which options are true?
A. kA=[-6 -8 -14]
[0 -12 -18]
[-4 -2 -10]
B. AB= [23 43]
[ 8 38]
[67 25]
C. A²= [23 43 92]
[18 45 99]
[16 19 48]
D. B1= [6 4 1]
[7 1 3]

Answers

The option A is correct.

Given,

A= [3 4 7] B= [7 6] and

k= -2[0 6 9] [1 4][2 1 5] [3 1]

Now, we need to calculate kA, AB, A², and B1.
First, we calculate kA.

We know that

\(kA= k * A.kA = -2 * [3 4 7; 0 6 9; 2 1 5]= [-6 -8 -14; 0 -12 -18; -4 -2 -10]\)

Next, we calculate AB.

We know that AB is only possible if the number of columns in matrix A is equal to the number of rows in matrix B. In this case, matrix A has 3 columns, and matrix B has 2 rows, which are unequal. So, the option B is incorrect.Now, we calculate A².

We know that

\(A² = A * A.A² = [3 4 7; 0 6 9; 2 1 5] * [3 4 7; 0 6 9; 2 1 5]= [23 43 92; 18 45 99; 16 19 48]\)

So, the option C is correct.

Finally, we calculate B1. We know that B1 is only possible if the number of rows in matrix B is equal to the number of rows in matrix 1.

In this case, matrix B has 2 rows, and matrix 1 has 3 rows, which are unequal.

So, the option D is incorrect.

Hence, the correct options are A and C.

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Solution: The set of all elements in the universal set that is not in set A is called the complement of set A.

Answers

The complement of set A, denoted by ​ A`, is the collection of all elements that belong to the universal set but are not part of set A. It's not necessary to mention the universe (also known as U) if it's understood which set of elements is being referred to.

The complement of a set A is the collection of all elements that belong to the universal set but not to set A. It is denoted as ​ A` and does not include any elements that are already in set A. The universal set, also known as U, contains all possible elements and is assumed to be known. Therefore, when referring to the complement of a set, it is not necessary to mention the universal set explicitly. The complement of a set is useful in determining the set of elements that are not part of a particular set, and it can be used in various mathematical operations.

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In triangle EFG, m∠E = 95.2° and m∠F = 43.7°. Determine the measure of the exterior angle to ∠G.

138.9°
84.8°
51.5°
41.1°

Answers

Angles E and F have the same measurement as the exterior angle of G

95.2 + 43.7 = 138.9

Answer: 138.9

The measure of the exterior angle to ∠G is 138.9°.

What is a triangle?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

Given, In triangle EFG, m∠E = 95.2° and m∠F = 43.7°.

We know the sum of all the interior angles in a triangle is 180°.

We also know that the measure of an exterior angle in a triangle is the sum of the two opposite interior angles.

∴ The measure of the exterior angle to m∠G is = m∠E + m∠F.

= 95.2° + 43.7°.

= 138.9°.

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During the year, Poch Co. incurred cost of goods sold of $59,823 million on net sales of $76,643 million. What was Poch's return on sales ratio for the year? (Assume no other expenses)
a. 10.6%
b. 24.1%
c. 21.9%
d. 13.8%

Answers

During the year, Poch Co. incurred cost of goods sold of $59,823 million on net sales of $76,643 million. To find Poch's return on sales ratio, we need to divide the cost of goods sold by the net sales and multiply by 100.

The calculation would be:
Return on Sales Ratio = (Cost of Goods Sold / Net Sales) * 100
Plugging in the given values:
Return on Sales Ratio = ($59,823 million / $76,643 million) * 100
Now, let's solve the calculation:
Return on Sales Ratio = (0.7807) * 100
Return on Sales Ratio ≈ 78.07%
Since none of the provided answer options match with the calculated ratio, we cannot determine the exact return on sales ratio.

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A golf cart priced at $5,600 was on slae for 20% off.The sales tax rate is 6%.What is the sale price of the golf cart,including tax?

Answers

Answer:

$4748.80

Step-by-step explanation:

First, find the cost with 20% off, by multiplying the price by 0.8

5600(0.8)

= 4480

Find the cost with tax, by multiplying this by 1.06

4480(1.06)

= 4748.8

So, the sale price, including tax, is $4748.80

100-20=80%
80/100 x $5600 = $4,480 (same as 80% times $5600)
6/100 x $4,480= $268.80 (sales tax price)
$4,480+$268.80=$4748.80

Find the equation of the line below. If necessary, use a slash (/) to indicate a
division bar.
(1.4)
10
10
Answer here

Find the equation of the line below. If necessary, use a slash (/) to indicate adivision bar.(1.4)1010Answer

Answers

Answer:

y= 4x

Step-by-step explanation:

The points on the line are (3,12)(1,4)

Slope=y2-y1/x2-x1=

4-12/1-3=

-8/-2=

4

Y-intercept= 0

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

Equation: y= 4x

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

Hope it helps...

Have a great day!!!

a cube measuring 1 cm on each side, what is the volume, if the cube was dropped into 28ml of water. what would the

Answers

Answer:

29 ml

Step-by-step explanation:

Vcube = 1cm×1cm×1cm = 1 cm³

1 cm³ = 1 ml

If this cube is dropped into a 28ml of water the new reading will be 29 ml.

hope this helped :)

Match the coordinates with the points on the coordinate plane.

Match the coordinates with the points on the coordinate plane.

Answers

Answer:

T (-4.5, -3)

S (0,-3,5)

R (3.5,0)

Q (4, 6.5)

P (-2,4)

I took the time to look and note the points on the graph. GL tho.

Which system of equations is graphed below

Which system of equations is graphed below

Answers

Answer:

2nd option

x - y = 6

3x + 4y = 4

Im 95% sure thats the answer. Im truly sorry if this is incorrect.

Step-by-step explanation:

Answer:

y=-3/4x+1

y=x-6

Step-by-step explanation:

ignore this rjrjrjrjrjnrjrj

Simplify the expression below as much as possible.
(7-6i) + (-1 + 4i) -(4-7i)
A. 10 + 5i
B. 2 - 9i
C. 10-9i
D. 2 +5i

Answers

B. 2-9i. Is the correct answer
The answer is D hope this helped

how many ways are there to roll 5 distinct (6-sided) dice and get 3 of a kind? (three dice will show the same number, one die will show a different number, and one die will show yet g

Answers

Number of ways to roll 5 distinct dice and get 3 of a kind is 7200

To find the number of ways to roll 5 distinct dice and get 3 of a kind:

Choose which number appears three times. There are 6 possible choices.

Choose which three dice will show the chosen number. There are 5 ways to choose the first die, 4 ways to choose the second die, and 3 ways to choose the third die, for a total combinations 5 x 4 x 3 = 60 ways.

Choose the numbers that the remaining two dice will show. There are 5 choices for the first die and 4 choices for the second die, but the order in which we choose them doesn't matter, so we need to divide by 2 to correct for overcounting. This gives us (5 x 4) / 2 = 10 ways.

Choose which of the two remaining dice will show the first chosen number. There are 2 choices.

Multiply all of the choices together: 6 x 60 x 10 x 2 = 7,200.

Therefore,  there are 7,200 ways to roll 5 distinct dice and get 3 of a kind.

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A triangle has side lengths of 18 cm, 80 cm, and 81 cm. Classify it as acute, obtuse, or right.obtuserightacute

Answers

The triangle is an οbtuse triangle.

What is a triangle?

Tο determine if the triangle is acute, οbtuse, οr right, we need tο check if it satisfies the Pythagοrean theοrem. Accοrding tο the Pythagοrean theοrem, in a right triangle, the sum οf the squares οf the lengths οf the legs (the shοrter sides) is equal tο the square οf the length οf the hypοtenuse (the lοngest side). Sο, if the sum οf the squares οf the twο shοrter sides is equal tο the square οf the lοngest side, then the triangle is a right triangle.

Let's calculate the squares οf the three sides:

The square οf the first side (18 cm) is 324.

The square οf the secοnd side (80 cm) is 6400.

The square οf the third side (81 cm) is 6561.

Nοw, we need tο determine if the sum οf the squares οf the twο shοrter sides is greater than οr less than the square οf the lοngest side. Sο, we have:

324 + 6400 = 6724

Since 6724 is less than 6561, the triangle dοes nοt satisfy the Pythagοrean theοrem and it is nοt a right triangle. Therefοre, the triangle is either an acute οr οbtuse triangle.

Tο determine if the triangle is acute οr οbtuse, we need tο find the largest angle οf the triangle. We can use the Law οf Cοsines tο find the largest angle οf the triangle, which is οppοsite the lοngest side. The Law οf Cοsines states that in any triangle:

\(c^2 = a^2 + b^2\) - 2ab cοs(C)

where a, b, and c are the lengths οf the sides οf the triangle, and C is the angle οppοsite the side c.

In οur case, a = 18 cm, b = 80 cm, and c = 81 cm. Sο, we have:

\(81^2 = 18^2 + 80^2 - 2(18)(80) cos(C)\)

6561 = 324 + 6400 - 2880 cοs(C)

Nοw, we can sοlve fοr cοs(C):

cοs(C) = (6400 + 324 - 6561) / (2(18)(80))

cοs(C) = -0.2216

Since cοsine is negative, the angle C is οbtuse.

Therefοre, the triangle is an οbtuse triangle.

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Classification

You want to know the classification of a triangle with side lengths 18 cm, 80 cm, and 81 cm. A triangle can be classified by looking at the measure of its largest angle. The classification of the triangle is the same as the classification of that angle: obtuse if > 90°, right if = 90°, and acute if < 90°.

Largest angle

The largest angle is always opposite the longest side. In a triangle with angles A, B, C and their opposite sides a, b, c, we can call the largest angle C. Its measure can be computed using the Law of Cosines, which tells you ...

  C = arccos((a² +b² -c²) / (2ab))

  C = arccos((18² + 80² - 81²) / (2×18×80)) = arccos(163/2880) ≈ 86.8°

The largest angle is less than 90°, so the triangle is an acute triangle.

A triangle has side lengths of 18 cm, 80 cm, and 81 cm. Classify it as acute, obtuse, or right.obtuserightacute

Professor Zsolt Ugray lives in Boston and is planning his retirement. He plans to move to Florida and wants to buy a boat. The boat he is buying is a "2007 Sea Ray 340 Sundancer" (see image).
Using your Excel skills and understanding of financial functions, you're helping Prof. Ugray assess the impact of this loan on his finances. To buy this boat, Prof. Ugray will get a large Loan ($150,000) and pay $1,770 monthly during 10 years.
Calculate below:
- The monthly rate for this loan
- The annual rate for this loan
- The effective annual rate for this loan
- Total Amount Paid After 10 Years
- The Future value for this loan.

Answers

The monthly rate for the given loan is 1.0118%.The annual rate for this loan is 12.1423%.

Given loan: $150,000

Payment per month: $1,770

Duration of loan: 10 years

Interest = ?

The formula for monthly payment is given by:

\(PV = pmt x (1 - (1 + r)^-n) / r\)

Where, PV is the present value, pmt is the payment per period, r is the interest rate per period and n is the total number of periods.Solving the above formula for r will give us the monthly rate for the loan.

r = 1.0118%The monthly rate for the given loan is 1.0118%.The annual rate can be calculated using the following formula:

Annual rate = \((1 + Monthly rate)^12 - 1\)

Annual rate = 12.1423%

The annual rate for this loan is 12.1423%.The effective annual rate can be calculated using the following formula:

Effective annual rate =\((1 + r/n)^n - 1\)

Where, r is the annual interest rate and n is the number of times interest is compounded per year.If interest is compounded monthly, then n = 12

Effective annual rate = (1 + 1.0118%/12)^12 - 1

Effective annual rate = 12.6801%

The effective annual rate for this loan is 12.6801%.

Total amount paid after 10 years = Monthly payment x Number of payments

Total amount paid after 10 years = $1,770 x 120

Total amount paid after 10 years = $212,400

The total amount paid after 10 years is $212,400.

The future value for this loan can be calculated using the following formula:

FV = PV x (1 + r)^n

Where, PV is the present value, r is the interest rate per period and n is the total number of periods.If the loan is paid off in 10 years, then n = 120 (12 payments per year x 10 years)

FV = $150,000 x (1 + 1.0118%)^120

FV = $259,554.50

The future value for this loan is $259,554.50.

Thus, the monthly rate for the loan is 1.0118%, the annual rate for this loan is 12.1423%, the effective annual rate for this loan is 12.6801%, the total amount paid after 10 years is $212,400 and the future value for this loan is $259,554.50.

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The top of square table has an area of 24 square feet. What is the length of 1 edge of the tabletop?

Answers

The length of one edge of the tabletop is 4.89 feet.

We know that square is a shape that has all the side equal. Based on this using the formula to find the length of edge of the tabletop.

The area of square table is given by the formula -

Area of square table = side²

We will keep the value of area of square table to find the value of side which will be length of edge

24 = side²

Side = ✓24

Taking square root for the value on right side of the equation

Side = 4.89

Hence, the length of one edge of the tabletop is 4.89 feet.

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write the ratio 15:25 as a fraction in simplest form

Answers

Answer:

3/5

Step-by-step explanation:

the fraction for this is 15/25 so you find the highest number that will go into both of the numbers, in this case, it would be 5. therefore, you divide 15 and 25 by 5 getting the answer of  3:5 which is the same as 3/5.

i am pretty sure this is how you do it. i am only in yr 8 so ye......

Answer:

3/5 should be the answer

Step-by-step explanation:

What's the principal sum?

Answers

The principal sum refers to the amount payable in one sum in the case of accidental death and, in some cases, accidental dismemberment.

The amount paid in the case of accident or medical insurance in the event that the insured person dies, loses a limb, or loses sight is known to be as principal sum. It means that the principal sum amount is the maximum amount paid to the insured person for all injuries resulting from the accident.

Thus, the principal sum is the amount insured to be paid by the company to the beneficiary in the case of the insured individual's accidental death as well as in the loss of limb or sight.

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in a class of 150 students the ratio of boys to girls is 3 2 how many more boys than girls are in the class

Answers

The number of  boys and girls in a class of 150 students is 90 and 60 respectively.

RATIO:

Comparing two quantities of the same units and determining the ratio tells us how much of one quantity is in the other.

i.e., it shows how many times a number contains another.

Total number of students = 150

ratio of boys to girls = 3 : 2

B:G = 3 : 2

now

3x + 2x = 150

5x = 150

x = 30

the number of boys = 3x = 3 X 30 = 90 boys.

the number of girls = 2x = 2 X 30 = 60 girls.

The number of  boys and girls in a class of 150 students is 90 and 60 respectively.

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Suppose we roll a fair die twice. what is the probability that the first roll is a 1 and the second roll is a 6?

Answers

The probability of rolling a 1 on the first roll and a 6 on the second roll is 1/36.

Since each roll is independent of the other, the probability of the first roll being a 1 and the second roll being a 6 is the product of the probabilities of each event happening separately.

The probability of rolling a 1 on the first roll is 1/6, and the probability of rolling a 6 on the second roll is also 1/6. Therefore, the probability of both events occurring is:

1/6 × 1/6 = 1/36

So the probability of rolling a 1 on the first roll and a 6 on the second roll is 1/36.

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what is the difference between experimental and quasi experimental research

Answers

The experimental research provides higher control and allows for stronger causal inferences, while quasi-experimental research is more suitable when random assignment is not feasible.

Experimental and quasi-experimental research are two approaches used in scientific studies, but they differ in terms of their design and the level of control over variables.

Experimental research involves the manipulation of an independent variable to observe its effects on a dependent variable, while controlling for potential confounding variables. It assigns random assignment of participants to different conditions, allowing for causal inferences.

The researcher has control over the variables and can establish cause-and-effect relationships.

⇒ On the other hand, quasi-experimental research lacks random assignment of participants. Instead, pre-existing groups or naturally occurring variations are used. The researcher still manipulates the independent variable but cannot randomly assign participants. This limits the ability to establish strong causal relationships.

⇒ Quasi-experimental designs are used when random assignment is not possible. They are useful for studying phenomena in real-world settings, but caution must be exercised in drawing definitive causal conclusions.

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The main difference between experimental and quasi-experimental research is that experimental research involves random assignment and control groups, while quasi-experimental research lacks random assignment and control groups.

Experimental and quasi-experimental research are two common research designs used in social sciences and other fields. They differ in terms of random assignment, control groups, and the establishment of causality.

Experimental Research:

Experimental research involves the manipulation of an independent variable to observe its effect on a dependent variable.It typically includes a control group and an experimental group.Participants are randomly assigned to each group, ensuring that the groups are comparable at the start of the study.This random assignment helps minimize the influence of confounding variables and allows researchers to establish cause-and-effect relationships.Experimental research is often conducted in laboratory settings, where researchers have more control over variables.

quasi-experimental research:

Quasi-experimental research also involves the manipulation of an independent variable, but it lacks random assignment and control groups.Participants are not randomly assigned to groups, which can introduce potential biases and confounding factors.Quasi-experimental designs are often used when random assignment is not feasible or ethical.They can provide valuable insights and help researchers study real-world phenomena.However, they do not establish causality as strongly as experimental designs.

Overall, experimental research provides stronger evidence for cause-and-effect relationships, while quasi-experimental research is used when random assignment is not possible or practical.

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use spherical coordinates. evaluate x2 dv, e where e is bounded by the xz-plane and the hemispheres y = 1 − x2 − z2 and y = 16 − x2 − z2

Answers

To evaluate x² dV over the region E bounded by the xz-plane and the hemispheres y = √16 − x² − z² and y = √25 − x² − z² using spherical coordinates, set up the triple integral as ∫∫∫ (r sin θ cos φ)² r² sin θ dr dθ dφ, with the limits of integration as 0 ≤ r ≤ √(16 - z²), 0 ≤ θ ≤ π/2, and 0 ≤ φ ≤ 2π.

To evaluate the integral x² dV using spherical coordinates, we first need to express the integral in terms of the spherical coordinate system. The differential volume element in spherical coordinates is given by dV = r² sin θ dr dθ dφ.

Since we want to find the integral over the region E, which is bounded by the xz-plane and the two hemispheres, we need to determine the limits of integration for the spherical coordinates.

The bounds for the other two spherical coordinates, r and φ, can be determined by considering the equations of the two hemispheres.

For the upper hemisphere, we have:

y = √(16 - x² - z²)

Setting y = 0, we can solve for r and z:

0 = √(16 - x² - z²)

Squaring both sides, we get:

0 = 16 - x² - z²

Rearranging the equation, we have:

x² + z² = 16

This represents the boundary of the upper hemisphere, so the limits for r and φ will be determined by this equation.

For the lower hemisphere, we have:

y = √(25 - x² - z²)

Setting y = 0, we can solve for r and z:

0 = √(25 - x² - z²)

Squaring both sides, we get:

0 = 25 - x² - z²

Rearranging the equation, we have:

x² + z² = 25

This represents the boundary of the lower hemisphere, so the limits for r and φ will be determined by this equation.

Using the spherical coordinate system, we can rewrite x² dV as (r sin θ cos φ)² r² sin θ dr dθ dφ.

Now, we can set up the integral:

∫∫∫ (r sin θ cos φ)² r² sin θ dr dθ dφ

The limits of integration are as follows:

0 ≤ r ≤ √(16 - z²)

0 ≤ θ ≤ π/2

0 ≤ φ ≤ 2π

By evaluating this triple integral, we can find the value of x² dV over the region E.

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Complete Question:

Use spherical coordinates. Evaluate x² dV, E where E is bounded by the xz-plane and the hemispheres y =√16 − x² − z² and y = √25 − x² − z² .

function A,b, and c are linear. shown below are the graph function A in standard (x,y) coordinate pane, a table of 5 ordered pairs belonging to function B, and an equation for function C. Arrange the functions in order of their rates of change from least to greates.

Answers

function A,b, and c are linear. shown below are the graph function A in standard (x,y) coordinate pane, a table of 5 ordered pairs belonging to function B, and an equation for function C. Arrange the functions in order of their rates of change from least to greates.

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