Point N and L on the circle K and point Q and P on the circle O. Lines NP and QL intersect at point M. Line NP is tangent to Circle K and point N and tangent to circle O at point P. Lines LQ is tangent to circle K at point L and tangent to circle O and point Q. If NM=7x-18,LM=31, QM=6x-4, and PM= 5y-12, which of the following are true? Select all that apply.

Point N And L On The Circle K And Point Q And P On The Circle O. Lines NP And QL Intersect At Point M.

Answers

Answer 1

The statements that are true from the list of options are x = 7, y = 10 and QM = 38

Selecting which of the statements are true?

Given that

Line NP is tangent to Circle K and point N and tangent to circle O at point P. Lines LQ is tangent to circle K at point L and tangent to circle O and point Q

This means that

NM = LM

So, we have

7x - 18 = 31

This gives

7x = 49

So, we have

x = 7

Next, we have

QM = PM

So, we have

6x - 4 = 5y - 12

So, we have

6(7) - 4 = 5y - 12

This gives

5y = 50

So, we have

y = 10

Calculating the lengths, we have

QM = 6(7) - 4

QM = 38

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Related Questions

Jordan likes to go to his local hair salon because he is a premier member there. His membership fee costs $60.00 and that membership allows him to get his hair done for $26.00 every visit.
How much does it cost for 2,4,5 and 8 visits

Answers

Answer:
The cost of Jordan’s visits to the hair salon depends on the number of visits. The cost for 2 visits would be $60.00 (membership fee) + 2 * $26.00 (cost per visit) = $112.00. The cost for 4 visits would be $60.00 + 4 * $26.00 = $164.00. The cost for 5 visits would be $60.00 + 5 * $26.00 = $190.00. The cost for 8 visits would be $60.00 + 8 * $26.00 = $268.00.

Answer: 2 = 112 4 = 164 5 = 190 8 =268

Step-by-step explanation:

In order to solve this, the equation would be:

26x + 60

where x is the number of appointments, 26 is the amount each appointment costs, and 60 is the original price of the membership.

So...

2 visits would be $112

4 visits would be $164

5 visits would be $190

8 visits would be $268

Hope this is helpful

If f(x)=√4x+9+2, which inequality can be used to find the domain of f(x)?
O √4x20
O 4x+920
O 4x20
O√4x+9+220
G

Answers

The domain of the function f(x) is given as x ≥ -9/4

What is the domain of f(x)

The domain and range of a relation are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively.

The domain of a function is all value of x along the function.

To find the domain of f(x);

Let's write the expression in the square root to be ≥ 0

4x + 9 ≥ 0

Solve for x;

4x ≥ -9

Divide both sides by the coefficient of x;

4x/4 ≥ -9/4

x ≥ -9/4

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hich event will have a sample space of S = {A, B}?

Flipping a fair, two-sided coin
Rolling a six-sided die
Spinning a spinner with three sections
Choosing a tile from a pair of tiles, one with the letter A and one with the letter B

Answers

The requried choosing a tile from a pair of tiles, one with the letter A and one with the letter B will have a sample space of S = {A, B}.

Choosing a tile from a pair of tiles, one with the letter A and one with the letter B will have a sample space of S = {A, B}. The other events listed have sample spaces with more than two outcomes:

Flipping a fair, two-sided coin has a sample space of S = {heads, tails}.Rolling a six-sided die has a sample space of S = {1, 2, 3, 4, 5, 6}.Spinning a spinner with three sections has a sample space of S = {section 1, section 2, section 3}, assuming each section is equally likely to be landed on.

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Which inequality is shown on the graph?

A:y>-3x+2
B:y>3x+2
C:y<3x+2
D:y<-3x+2

Answers

Answer:

y<-3x+2

Step-by-step explanation:

ok. it's shaded below, so y is gonna be less than. we can eliminate A and B.

looking at the y-intercept, it's 2. that doesn't narrow anything down so lets do rise/run or delta y over delta x

rise/run is -3/1

that gives us -3

putting it all together....

y<-3x+2

D is the correct answer.

i hope you understood. have a great day :)

A bag contains 10 red pens, 15 blue pens, and 20 black pens. Joseph will pull a pen from the bag.
If Joseph pulls a red pen from the bag and he keeps the pen, is the probability of him selecting another red pen after a second pull an independent or dependent event? Explain.

Answers

Answer:

I can solve it, but you'll have to find out, because it's your homework, if it is an independent or dependent event:

9/(9 + 15 + 20)  -->  because we want to know chances of a red pen (qty 9)

9/(24 + 20)

9/44

0.2045454..., approx. 0.2045, or 20.45%

Answer: Hello!

Step-by-step explanation:

If no one can do it, I'll try.

This scenario is an example of dependent probabilities because the outcome of the second draw depends on what happened during the first draw. Specifically, if Joseph drew a red pen during the first draw, then there are fewer red pens remaining in the bag than before the first draw. As a result, the probability of drawing a red pen during the second draw decreases relative to the initial probability, assuming all pens were equally likely to be drawn initially. If the first pull didn't remove any pens from the bag, then the second pull is an independent event, and the probability remains unchanged.

In summary, whether the second event is independent or dependent depends on how many red pens remain in the bag after the first draw.

A number has three digits 6 8 and 1 to the nearest hundred the number rounds to 800 what is the number

Answers

Where a number has three digits 6 8 and 1 to the nearest hundred the number rounds to 800 the number is 768.

Why is this so?

In this case, the hundreds digit is 6, which means the number is between 600 and 699. The tens digit is 8, which is greater than 5, so we round up to the next hundred, which is 700. Therefore, the number is between 700 and 799.

We also know that when the number is rounded to the nearest hundred, it rounds to 800. This means the number is closer to 800 than to 700, and is at least 750. The ones digit is 1, which means the number is odd, and the sum of its digits is 6 + 8 + 1 = 15. This eliminates numbers that are multiples of 10 or have a sum of digits less than 15.

The only three-digit number that satisfies these conditions and rounds to 800 is 768. Therefore, the number is 768.

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Here is a map of an island
with cities A, B and C.
Jeremy drives from A to B on
the route shown.
Kia drives from B to C on
the route shown.
C
B
Work out how much further Jeremy drives than Kia.
You must show your working.
Show your working
+
Answer:
km
A
Scale: 1 cm represents 200 km

Answers

The distance further that Jeremy drives more than Kia would be 100 kilometers .

How to find the distance ?

The distance that Jeremy drives in cm from A to B is 5 cm. In kilometers, this would be:

= 5 x 200 per cm

= 1, 000 kilometers

The distance that Kia drove from B to C was 4.5 cm and in kilometers this is:

= 4.5 x 200

= 900 kilometers

The distance that Jeremy drove more was:

= 1, 000 - 900

= 100 kilometers

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Solving a word pro
To rent a certain meeting room, a college charges a reservation fee of $19 and an additional fee of $4 per hour. The chemistry club wants to spend less than
$51 on renting the room. What are the possible numbers of hours the chemistry club could rent the meeting room?
User for the number of hours.
Write your answer as an inequality solved for t.

Answers

The possible numbers of hours the chemistry club could rent the meeting room is any value less than 8.

In inequality form:

t < 8

To solve this problem

Let's begin by referring to the number of hours the chemical club rents the meeting space as "t".

The reservation charge plus the additional fee for the specified number of hours will equal the total cost to rent the meeting space:

Cost in total = $19 + $4.

The chemical club has stated that they want to pay less than $51 to rent the space:

Total cost < $51

Substituting the expression for total cost:

$19 + $4t < $51

Simplifying:

$4t < $32

Dividing both sides by 4:

t < 8

Therefore, the possible numbers of hours the chemistry club could rent the meeting room is any value less than 8.

In inequality form:

t < 8

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2. The table shows values that represent a function.

x
–2
–3
6
7
5

y
4
2
1
3
4
Part I: Write values that represent the inverse of the function represented in the table above. (3 points)
x

y

Part II: Is the inverse a function? Explain your answer. (2 points)
Remember that in a function, each input value can have only one output value.

Answers

To find the inverse of a function, we switch the x and y values. So the values representing the inverse of the function in the table above are: x: 4, 2, 1, 3, 4, and y: -2, -3, 6, 7, 5.

To determine if the inverse is a function, we need to check if each input value has only one output value.

Since the original function is a function, we know that each input value has only one output value.

When we switch the x and y values to find the inverse, we need to make sure that each y value only has one corresponding x value.

Looking at the values in the table, we can see that there are two different y values (4 and -2) that both have an x value of 5.

Therefore, the inverse is not a function.

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a positive integer divisor of 12! is chosen at random. the probability that the di- visor chosen is a perfect square can be expressed as m n , where m and n are relatively prime positive integers. what is m n?

Answers

The probability that a positive integer divisor of 12! is a perfect square can be expressed as 18/415. The sum of the numerator and denominator is 433.

We can start by finding the prime factorization of 12! which is

12! = 2¹⁰ × 3⁵ × 5² × 7 × 11

To find the number of divisors of 12!, we add 1 to each exponent and multiply them together:

Number of divisors = (10+1) × (5+1) × (2+1) × (1+1) × (1+1) = 3320

Now, we want to find the probability that a randomly chosen divisor of 12! is a perfect square.

A positive integer is a perfect square if and only if each of its prime factors has an even exponent.

Therefore, we need to count the number of divisors of 12! that have each prime factor with an even exponent.

For 2, there are 6 choices: 0, 2, 4, 6, 8, 10

For 3, there are 3 choices: 0, 2, 4

For 5, there are 2 choices: 0, 2

For 7, there are 2 choices: 0, 1

For 11, there are 2 choices: 0, 1

The total number of divisors of 12! that are perfect squares is the product of these choices

6 × 3 × 2 × 2 × 2 = 144

Therefore, the probability that a randomly chosen divisor of 12! is a perfect square is

P = 144/3320 = 18/415

The numerator and denominator have no common factors, so m=18 and n=415. Thus, m+n=433.

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What is the measure of

Answers

Answer: 50 degrees

Step-by-step explanation:

from a population with a variance of 484, a sample of 256 items is selected. at 95% confidence, the margin of error is group of answer choices 16. 1.375. 2.695. 22.

Answers

The margin of error is 2.695 for a sample size of 256 and a population variance of 484 at a 95% confidence level.



To find the margin of error, we need to use the formula:
Margin of error = z* (sigma / sqrt(n))
Where z* is the z-score corresponding to the desired confidence level, sigma is the population standard deviation, and n is the sample size.
In this case, we know that the population variance (sigma^2) is 484, which means the standard deviation (sigma) is sqrt(484) = 22.
The sample size (n) is 256.
The confidence level is 95%, which means the z-score is 1.96.
So, plugging these values into the formula, we get:
Margin of error = 1.96 * (22 / sqrt(256))
Simplifying, we get:
Margin of error = 1.96 * (22 / 16)
Margin of error = 2.695


Hence, we use the formula Margin of error = z* (sigma / sqrt(n)), where z* is the z-score corresponding to the desired confidence level, sigma is the population standard deviation, and n is the sample size. The margin of error is 2.695 for a sample size of 256 and a population variance of 484 at a 95% confidence level.

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Find the partial sum for each given sequence

Answers

The partial sum of both arithmetic sequence are:

1) S₄ = 58

2) S₃ = 2

What is the partial sum of the sequence?

An arithmetic sequence is defined as a sequence where each term increases by adding/subtracting some constant k. This is in contrast to a geometric sequence where each term increases by dividing/multiplying some constant k.

The formula for the partial sum of an arithmetic sequence is:

Sₙ = (a₁ + aₙ)ⁿ/₂

1) The first term is 4

The fourth term is 25

Thus:

S₄ = ⁴/₂(4 + 25)

S₄ = 58

2) The first term is 1 while the third term is 1/3. Thus, the sum is:

S₃ = ³/₂(1 + ¹/₃)

S₃ = 2

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A metallic cube of length 15 cm is melted to form smaller cubes of 5 cm. How many smaller cubes will be there?

Answers

There will be 27 smaller cubes of length 5 cm each.

How to get the cubes

V = s^3, where s is the length of a side of the cube.

In this case, the length of the side of the original cube is 15 cm, so its volume is:

V = 15^3 = 3,375 cubic cm

When the cube is melted down and reformed into smaller cubes of 5 cm, the number of smaller cubes is equal to the total volume of the original cube divided by the volume of each smaller cube. The volume of each smaller cube is:

V = s^3 = 5^3 = 125 cubic cm

So, the number of smaller cubes is:

Number of smaller cubes = Total volume of original cube / Volume of each smaller cube

Number of smaller cubes = 3,375 / 125

Number of smaller cubes = 27

Therefore, there will be 27 smaller cubes of length 5 cm each.

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The line shown below are parallel

A true
B false

Answers

The line shown below are parallel: B. False, because their slopes are different.

What are parallel lines?

In Mathematics and Geometry, parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.

In Mathematics and Geometry, two (2) lines are parallel under the following conditions:

m₁ = m₂

For the slope of the red line, we have:

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (8 - 4)/(4 + 2)

Slope (m) = 4/6

Slope (m) = 2/3.

For the slope of the green line, we have:

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (2 + 2)/(-1 + 8)

Slope (m) = 4/7

2/3 ≠ 4/7.

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Over the span of a year, Veronica weighs herself every Friday morning. She finds for that year, her average weight was 140 pounds with a standard deviation of 2
pounds. The distribution of her weights is approximately normal. Use the 68-95-99.7 rule to answer the following questions.
a. Approximately 99.7% of her weight measurements lie within what range?
b. What percent of her weight measurements are less than 138 pounds?

Answers

a) Approximately 99.7% of Veronica's weight measurements lie within the range of 134 to 146 pounds.

b) Approximately 15.87% of Veronica's weight measurements are less than 138 pounds.

a. According to the 68-95-99.7 rule for a normal distribution, approximately 99.7% of the data falls within 3 standard deviations of the mean. Therefore, the range for Veronica's weight measurements can be calculated as follows:

Upper bound: Mean + 3(Standard Deviation) = 140 + 3(2) = 146

Lower bound: Mean - 3(Standard Deviation) = 140 - 3(2) = 134

b. To find the percentage of her weight measurements that are less than 138 pounds, we need to calculate the z-score and then use a standard normal table or calculator to find the area under the curve to the left of that value.

z-score = (138 - 140) / 2 = -1

Using a standard normal table or calculator, we find that the area to the left of a z-score of -1 is approximately 0.1587. Therefore, approximately 15.87% of Veronica's weight measurements are less than 138 pounds.

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Can anyone please help me find the area of the shaded area? Thank you

Answers

There are two key pieces of information we will need to solve this problem: the area of the section of the circle and the area of the triangle.

First, let's find the area of the section/part of the circle. We can do this by only finding 1/4 (90/360) of the area of the given circle.

1/4 x pi x 6^2

1/4 x pi x 36

Area of 1/4 of circle = 9pi ft^2

Second, let's find the area of the triangle.

1/2 x 6 x 6

3 x 6

Area of triangle = 18 ft^2

Next, let's find the area of one shaded section by subtracting the area of the triangle from the area of the section.

9pi - 18

Finally, to find the area of both shaded sections we'll need to double the answer from the previous step.

2(9pi - 18)

18pi - 36 = 20.549 (rounded to 3 decimal places)

Answer: [ 18pi - 36 ft^2 ] or [ 20.549 ft^2 ]

Hope this helps!

A. there were more lightbulbs in the dot for brand A dot plot for brand B.
B. the mean for brand Ais higher than the mean for brand B.
C. the mean for brand A is the same as the mean for brand B.
D. The mean for brand B is higher that the mean for brand A.

Answers

Answer:

B. the mean for brand A is higher than the mean for brand B.

Step-by-step explanation:

It's B, i know this because i did this comparing data sets exam and got a 100% on it.

Good Luck!

A box has a length of 5 in a width of 14.5 in and a volume of 2175 in. What is the height of the box? PLEASE ANSWER QUICK OFFERING BRAINLIEST

Answers

Answer:  30 in

Step-by-step explanation:

Multiply the length and width and divide the number you get from 2175.

Brainliest Please!

I need help, both parts need to be done and described and I'm struggling!

Answers

1 No, the table does not represent an exponential function.

2 The equation y = a² represents a parabolic function with a vertex at the origin (0,0).

How to explain the function

1. An exponential function is a function of the form f(x) = a^x, where a is a constant greater than 0, and x is the input variable. In an exponential function, the output values (y) are the result of the input values (x) being raised to a constant power (a). In this case, the table does not represent an exponential function since there's no constant value.

However, in the given table, the values of y are not obtained by raising any constant to the power of x. Instead, the values of y are obtained by multiplying the previous value of y by a constant factor in each row. It's not a exponential Function.

2. The equation y = a² represents a parabolic function with a vertex at the origin (0,0). The equation y = a² is a quadratic function, and all quadratic functions are parabolic. This is the effect on the graph.

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What is the volume of this rectangular pyramid?
9 cm
8 cm
15 cm
_______ cubic centimeters

Answers

The volume of this rectangular pyramid is equal to 1,080 cubic centimeters.

How to calculate the volume of a rectangular prism?

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = L × W × H

Where:

L represents the length of a rectangular prism.W represents the width of a rectangular prism.H represents the height of a rectangular prism.

By substituting the given dimensions (parameters) into the formula for the volume of a rectangular prism, we have the following;

Volume of rectangular prism = 9 × 15 × 8

Volume of rectangular prism = 1,080 cubic centimeters.

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3n + 10 = 3 ( ? ) + 10

Answers

Answer:

3n+10=3()+10

We move all terms to the left:

3n+10-(3()+10)=0

We add all the numbers together, and all the variables

3n=0

n=0/3

n=0

Step-by-step explanation:

Given: LABC
Prove: The sum of the interior angle measures of AABC is 180°
E
O
3
N
Statement
1. Let points A, B, and C form a
triangle.
2. Let DE be a line passing
through B, parallel to AC
with angles as labeled.
4. m1m24, and
m23=m25
3
given
Reason
defining a parallel line and labeling angles
Congruent angles have equal measures.

Answers

The missing step is:

<1 ≅ <1 and <3 ≅ <5

Reason:

Alternate interior angles theorem

What is the alternate interior angles theorem?

The Alternate Interior Angles Theorem is a geometric proposition demonstrating the number of angles born when two parallel lines are intersected by an angled transversal.

Precisely expressed, it holds that whenever two lines of equivalence are cut by a straight line crossing them, the alternate interior angles (angles on both sides of the transversal, which lie inside the parallel lines) will be identical in measure.

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Please solve this for me. I’m so confused on this packet

Answers

Answer: .82n

Step-by-step explanation:

Add the numbers in front because they are all like terms.  1 + 1 - .18 = .82

It's like if you had 5x+2x  you can add the numbers in front to combine like terms =7x

So your answer is .82n

The answer is (A)1.18n

Please help me. Thank you ​

Answers

Answer:

Step-by-step explanation:

This looks like a pyramid problem.  The sum of the 2 numbers in the bottom boxes must equal the number in the top box.  All you have to do to find the missing number is subtract the bottom number from the top number.

a.  200 - 30 = 170

b. 200 - 30 = 130

c. 200 - 105 = 95

d. 200 - 85 = 115

Find the value of the angle rounded to 1 DP.
0
36°
12m
46m
The diagram is not drawn accurately.

Answers

Step-by-step explanation:

See image:

Type the correct answer in the box. An image of a polygon with sides 2 units and 3 units that form a rectangle and a perpendicular line on a side that form a triangle with base 2 units and height 3 units. The area of the figure is square units.

Answers

The area of the figure is 9 square units.

We have,

Rectangle : l = 3 unit and w= 2 unit

Triangle: Height = 3 unit and Base= 2 unit

Now, Area of rectangle

= l w

= 3 x 2

= 6 square unit

and, area of Triangle

= 1/2 x b x h

= 1/2 x 2 x 3

3 square unit

Thus, the area of figure is

= 6 + 3

= 9 square unit

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Complete the ratio 4:?=1:15

Answers

Answer:

The answer is 60

Step-by-step explanation:

Solution:

[tex] \frac{4}{?} = \frac{1}{15} [/tex]

?= 15×4?=60

Hope you understand

Please help me with the question

Answers

The answer is C

Explanation:

The formula for the volume of a cone is 1/3(pi)r^2*h

Since it’s is in pi units you can disregard the pi part and focus on 1/3r^2*h

And since the height is six and the volume is 36, you divide 36 by 6 to get 6.

Finally since the radius is squared in the formula and you need a value of six, answer c is the only option that works

Hope this helps!

Frank is designing a 30-kilometer trail run. Water will be given to the runners every 4,000 meters and at the end. How many water stations will there be?

Answers

The number of water stations on the trail, obtained using arithmetic operations are 8 water stations.

What are arithmetic operations?

Arithmetic operations includes addition subtraction, division, and multiplication.

The length of the trail = 30 - kilometers

The distance between which runners receive water = Every 4,000 meters and at the end of the trail

The number of water stations can therefore be found, using arithmetic operations as follows;

30 km = 30 × 1,000 m = 30,000 m

Number of stations = (30,000 m) ÷ 4,000 m + 1 = 8.5

The number of stations on the trail is therefore 8 stations

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factors that impact how and when the processes of globalization are translated to various localities include: trade relations, alliances, histories of warfare, and shared religion (to name a few). group of answer choices true false Explain how and why states in the Americas developed and changed over time. (Unit 1.4) how do you find surface area and volume of a triangular prism Explain the major features of unemployment prevailing in agriculture ??? I will give you 10 points plsssssssssssssssssssssss answer Cuales son las innovaciones educativas con inteligencia artificial A young scientist decided to test if playing different types of music to plants would make them grow differently. Rock music, hip hop music, country music, and classical music was played to different groups of plants. The plants had the same amount of soil, sunlight, and water. The young scientist measured the plants after the test.1. Descriptive Investigation2. Comparative Investigation3. Experimental Investigation edema is defined as a(n) group of answer choices constriction of vessels. net movement of water from the interstitial fluid to the bloodstream. abnormal accumulation of interstitial fluid in the tissues. release of bone fragments. trauma to the blood. 11-4 skills practice areas of regular polygons and composite figures answers Explain about G20 summit? What is N-Ach. Who was it coined by? A car insurance company has determined that 7% of all drivers were involved in a car accident last year. Among the 12 drivers living on one particular street, 3 were involved in a car accident last year. If 11 drivers are randomly selected, what is the probability of getting 3 or more who were involved in a car accident last year? POP MUSIC - Pop stars Rita Ora, Dua Lipa, Bebe Rexha, and Ava Max, all of whom are citizens of either Great Britain (the former two) or the United States (the latter two), each have parents who claim what ethnicity? What did the Soviet Union use to control the national economy after World War One? (Unit 7.4) Between 1840 and 1860, the overwhelming majority of immigrants who arrived in the United States came fromA) Italy and RussiaB) Ireland and GermanyC) England and RussiaD) England and IrelandE) Ireland and Italy work out 10% of 480kg (Figure 1) shows five electric charges. Four charges with the magnitude of the charge 2.0 nC form a square with the size a= 4.0 cm. Positive charge with the magnitude of q= 6.5 nC is placed in the center of the square.Part A) What is the magnitude of the force on the 6.5 nC charge in the middle of the figure due to the four other charges?Part B) What is the direction of the force on the 6.5 nC charge in the middle of the figure due to the four other charges? what is a reasonable holding cost percentage for inventory that is not particularly perishable or subject to obsolescence? The Embarkation for Cythera was one of the major works of which Rococoartist?OA. lisabeth-Louise Vige-Le BrunB. Jean-Honor FragonardC. Franois BoucherO D. Jean-Antoine Watteau CH. Indefinites and negatives. Fill in the following dialogue using the terms given, but do not repeat terms. (12 puntos)algo, alguien, algn, nada, nadie, ni, ningn, no, nunca, o, s, siempreJuan- Juana, comprasteen la tienda?Juana-No.Juan-Pero fuiste a comprarJuana-Juan- Qu raro! YoJuanacompr absolutamente2-Caramba!pero no vi aJuan- Pero hablaste conJuana- No. No habl consuter, no?suter que me gustara.compro o en el Buen Piecompro ni en el Buen Pieen Pepegangas.en Pepegangas.en la tienda, no?porque cerraron la puerta tres minutos despus. in developing a plan of care for a patient receiving an antihistamine antiemetic drug, what nursing diagnosis would be the highest priority?