Find the coordinates of the missing endpoint if p is the midpoint of nq. n(2,0), p(5,2)

Answers

Answer 1

The coordinates of the missing endpoint if p is the midpoint of nq is (8,4)

In math the term called midpoint is defined as the point on a line that is at an equal distance from either end.

Here we have know the value of the point n(2,0) and p(5,2) and we need to identify the value of q.

Let us consider that (x, y) be the point of q.

Where we all know that the formula of mid point is written as,

p(xₐ, yₐ) = [(x₁+x₂)/2, (y₁ + y₂)/2]

When we apply the values on it, then we get,

=> p(5,2) = [(2+x)/2, (0+y)/2]

When we compare the values, then we get,

=> (2+x)/2 = 5

=> 2 + x = 10

=> x = 8.

Similarly the value of y is calculated as,

=> (0+y)/2 = 2

=> y = 4

Then the coordinate of q is (8,4).

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Related Questions

Light travels at a speed of 3 x 10 8 metres per second

Answers

According to the universe in which light only moves at 3x10^8 meters/sec, it would take 3.333 x 10^-6 seconds to go 1 meter.  

How does scientific notations work?

The number is written in the form  [tex]a \times 10^b[/tex] where we have  [tex]1 \leq a < 10[/tex]

The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).

According to the universe in which light only moves at 3x10^8 meters/sec, it would take 3.333 x 10^-6 seconds to go 1 meter.  

Given that light travels 3x10^8 m/s.    So there . . .

The speed of light is in units of meters/sec.  

If it is 3x10^8 meters/sec, we can also write the inverse:

1 sec/3x10^8 meters

Do the division to find seconds per 1 meter:  

3.333 x 10^-9 seconds.

For Milky Way inhabitants,

It only requires 3.33 x 10^-9 second.

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The complete question is;

Light travels about 3 x 10^8 metres per second. Find the time it takes to travel 1 metre.

Arabella wants to buy 42 dresses.
Each dress costs £8.70.
Estimate the cost of Arabella's 42 dresses

Answers

Answer:

378 Euros

Step-by-step explanation:

A good way to estimate is to round to the nearest whole number or 10th and then multiply:

8.70 --> 9.00 (since 7 > 5 you round up to the nearest whole number, in this case 9)

then you multiply. A good way to do this in your head is doing:

split 42 into 2 numbers:
40, 2

then multiply by nine:

9 * 4 = 36 (9 * 40 = 360) added a zero since we multiplied by 40, its just easier to multiply by smaller numbers

9 * 2 = 18

then add the two numbers together:

360 + 18 = 378 Euros

The actual answer with a calculator is 365.4 Euros, so for an estimation its fairly close.

Another way you could solve it is to just round 8.70 --> 10 (rounding to the nearest 10th)

then:

10 * 42 = 420 (nice)


I don't recommend it since its way too off from the original value, but could be good for quick estimations.

hope this helped you :)

remember that we don't consider degenerate triangles unless specially instructed otherwise. two side lengths of a triangle are and . what is the longest possible integer length of the third side of the triangle?

Answers

The minimum value of the third side is 9 cm, and The maximum value of the third side is 6.7 cm.

The minimum value of the third side is when the triangle is a degenerate triangle, meaning that the third side is a line segment joining the two endpoints of the first two sides, which is equal to 3 cm + 6 cm = 9 cm.

The maximum value of the third side is when the triangle is a right triangle, and the two sides are the legs. According to the Pythagorean theorem, the third side (the hypotenuse) should be equal to the square root of 3² + 6² = 9 + 36 = 45, which is equal to 6.7 cm.

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--The given question is incorrect; the correct question is

"The length of two sides of a triangle are 3cm and 6cm. What could be the minimum and maximum value of its third side?"--

A company produces a range of 5 computers models which bring in high volume

Assuming that the factory works equally to produce models for 9 hours days 7 days per week, which monitor bring in the highest revenue

Answers

The model with the highest revenue is model D

How to determine the model with the highest revenue

From the question, we have the following parameters that can be used in our computation:

                                                   Model A Model B Model C Model D Model E

Time to manufacture (mins) (t)         15             18         13              20     17

% Of monitors sold  (s)                  75%          73%      84%        95%   81%

Cost per monitor (c)                     $175         $188     $145     $198     $170

The factor works 9 hours for 7 days

So, the total duration per unit time is

D = 9 hours * 7/t

D = 63/t

Convert t to hours

D = 63 * 60/t

D = 3780/t

The total revenue is then calculated as

R = c * D * s

So, we have

Model A = 175 * 3780/15 * 75% = 33075

Model B = 188 * 3780/18 * 73% = 28820

Model C = 145 * 3780/13 * 84% = 35444

Model D = 198 * 3780/20 * 95% = 35551

Model E = 170 * 3780/17 * 81% = 30569

The highest value above is 35551

Hence, the model is model D

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Complete question

Model A Model B Model C Model D Model E

Time to manufacture 15 minutes 18 minutes 13 minutes 20 minutes 17 minutes

% Of monitors sold per total products 75% 73% 84% 95% 81%

Cost per monitor $175 $188 $145 $198 $170

A company manufactures computer monitors. Among the various models are top

products, which bring high revenue.

Assuming the manufacturing lines are running for 9 hours a day for 7 days a week,

which model brings in the highest revenue?

enter the value of n for the eqation 5 n = 5 11 times 5 3

Answers

For the equation 5^n = 5^11 × 5³ the value of n using the exponents rule is obtained as n = 14.

What is an exponent?

The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.

The given equation is 5^n = 5^11 × 5³

Since, the base of the exponents is same, so apply the operations on the powers of the base.

The value of n can be found by following the exponent rule.

The exponent rule is - a^(b) × a^(c) = a^(b + c)

Write the equation according to the rule -

5^n = 5^(11 + 3)

Use the arithmetic operation of addition -

5^n = 5^(14)

n = 14

Therefore, the value of n is obtained as 14.

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Solve for x. Express your answer in simplest radical form if necessary.
81 = x²

Answers

Answer:

Step-by-step explanation:√81 = √x²

9 = square root cancel square = x

9=

x=

Systems of Equations and Inequalities 2020-2021 / 5 of 18

Two students were shopping for school supplies. They need spirals which cost x dollars and pens which cost y dollars. One student bought

2 spirals and 3 pens for $8. 66. Another student bought 4 spirals and 5 pens for $15. 20. Find the unit cost of a spiral.

1

Answers

Each notebook is $5 and each thumb drive is $12.

To Locate:

The price per notebook and per flash drive

Explain x and y:

Let's say a notebook costs x dollars.

I'll pay whatever a thumb drive costs.

Form equations:

4x + y = 32 ------------------------ [ 1 ]

3x + 2y = 39 ---------------------- [ 2 ]

Equation [ 1 ] x 2:

8x + 2y = 64 ---------------------- [ 3 ]

[ 3 ] - [ 2 ] :

5x = 25

x = 5

Substitute x = 5 into [ 1 ]:

4(5) + y = 32

20 + y = 32

y = 32 - 20

y = 12

Find the cost of each notebook and each thumb drive:

notebook = x

notebook = $5

thumb-drive = y

thumb-drive = $12

Each notebook is $5 and each thumb drive is $12.

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of the 900 students at columbia middle school, there are 324 7th graders. If one student is chosen at random to lead the pledge at a school assembly, what is the probability the person chosen will be a 7th grader? Use prime factorization to reduce the answer.

Answers

Answer:

Step-by-step explanation:

im am sorry but i dont understand so i cant answer this question see you later!

to classify fossils of an insect, archeologists measure the length of the body. the body length of a type a insect is distributed as and the body length of a type b insect is distributed as (in millimeters). the fossil is classified as type a if the length is less than millimeters and classified as type b if the length is larger than or equal to millimeters. find the value of that the probability of correctly classifying a type a insect equals the probability of correctly classifying a type b insect (round off to first decimal place).

Answers

The value that the probability of correctly classifying a type an insect equals the probability of correctly classifying a type b insect is 4.5 millimeters.

To find the value that the probability of correctly classifying a type A insect equals the probability of correctly classifying a type B insect, we need to find the point where the probability density functions of the two types of insects intersect.

For type A insects, the probability density function is given as -

f(x) = [tex](1/2)e^{-{x-3}^{2/2}}[/tex]

For type B insects, the probability density function is given as-

f(x) = [tex](1/4)e^{-{x-5}^{2/2}}[/tex]

We can set these two probability density functions equal to each other and solve for x as follows -

[tex](1/2)e^{-{x-3}^{2/2}}[/tex] =  [tex](1/4)e^{-{x-5}^{2/2}}[/tex]

Solving for x, we get:

x = 4.5

So the value that the probability of correctly classifying a type A insect equals the probability of correctly classifying a type B insect and is 4.5 millimeters. This means that if the length of the insect is 4.5 millimeters or less, it will be classified as type A, and if it is greater than 4.5 millimeters, it will be classified as type B.

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2x^2-5x-2=0 quadratic formula

Answers

Step-by-step explanation:

First add you two numbers in parethese and then subtract thhat and dit =0

The polygons are similar, but not necessarily drawn to scale. Find the value of x.

Answers

The value of x is 5.5

What is a polygon?

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

Given;

The two polygons are similar

So,

x-1/6=16/21

x/6-1/6=16/21

x/6=16/21+1/6

x=5.5

y+1/32=21/24

y/32+1/32=7/8

y=3

Therefore, the value of x in polygon will be 5.5

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What is the value of f(150)?

Answers

Answer:

Step-by-step explanation:So make sure you learn this in fifth grade so basically whatever your line go to let's say if it lands on 79 I mean 70 and that's like I mean 150 it depends on what you're using

A 6 ft. tall man flies a kite and lets out 100 feet of string. The angle of elevation of the string is 52° . How high off the ground is the kite?

Answers

The kite is 84.8 feet off the ground.

What is an angle of elevation?

The angle produced whenever an object if viewed above the horizontal plane is termed the angle of elevation.

To determine how high off the ground is the kite, we have;

let the altitude of the kite from the man's head be represented by s,

Sin θ = opposite/ hypotenuse

Sin 52 = s/ 100

s = Sin 52*100

  = 0.7880*100

s = 78.8 feet

The height of the kite off the ground = 78.8 + 6

                                    = 84.8

The height of the kite off the ground is 84.8 feet.

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Help me please thhhannkkk youuu

Answers

Answer:

25 . 3 %

Step-by-step explanation:

it has the circuits of the brain

I need help with this question please and thank you

Answers

The type of transformation and scale factor as required are;

16) Rotation

17) Reflection

18) Dilation

19) n = 5

20)P = r = 4

What is the type of transformation?

There are different types of transformation as follows;

1) Translation: This type of translation is defined as moving the object in space by keeping its size, shape or orientation constant. In a translation, each point of the shape must be moved in the same direction and for the same distance

2) Dilation: This type of translation expands or contracts the object by keeping its orientation or shape the same. This is also known as resizing.

3) Rotation: This type of transformation has an object about a fixed point without changing its size or shape.

4) Reflection: This type of translation is called reflection because it flips the object across a line by keeping its shape or size constant.

16) This transformation is rotation based on the definitions above.

17) This type of transformation is a reflection as it is like the image was flipped across a line more like a mirror image.

18) This called dilation as the scale factor was adjusted to produce the new image.

19) Scale Factor = 6/3 = 2

Thus;

n = 10/2 = 5

20) Scale factor = 12/9 = 4/3

Thus;

P = r = 3 * 4/3

= 4

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what is the greatest two-digit prime number with the property that the product of its digits is also a prime number?

Answers

The greatest two-digit prime number with the property that the product of its digits is also a prime number is 37, since 3 x 7 = 21.

The greatest two-digit prime number with the property that the product of its digits is also a prime number is 37, since 3 x 7 = 21. Prime numbers are those numbers greater than 1 that are divisible only by 1 and itself. Two-digit prime numbers are those number between 10 and 99. The prime numbers between 10 and 99 are 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, and 97. The product of the digits of 37 is 3 x 7 = 21, which is also a prime number. Therefore, the greatest two-digit prime number with the property that the product of its digits is also a prime number is 37.

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A chemistry class has learned how to read a sensitive high-caliber balance scale (this is not a digital scale). Since most students are very good at reading the scale, the instructor decides it’s time to test their skills. The instructor asks each student to weigh the same 1. 6 ounce bag of Peanut M&Ms, and then records each student’s reading of the balance scale. Which histogram shows the distribution of the students’ balance-scale readings?

Answers

Histogram II shows the distribution of the students’ balance-scale readings, so the correct answer is option (b).

It is stated that most students are very good at reading the scale. Thus, most of the students will read the scale accurately around the actual weight (i.e., around 1.6 ounces), and very few will read far below or far above the accurate weight of 1.6 ounces.

As a large portion of the understudy score tremendous and ought to have rough equivalent aptitude; in this manner, the histogram ought to be around symmetrical.

Therefore, histogram II (symmetrical distribution) shows the perfect distribution of the students' balance-scale readings.

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The complete question is:

A chemistry class has learned how to read a sensitive high-caliber balance scale (this is not a digital scale). Since most students are very good at reading the scale, the instructor decides it’s time to test their skills. The instructor asks each student to weigh the same 1. 6 ounce bag of Peanut M&Ms, and then records each student’s reading of the balance scale. Which histogram shows the distribution of the students’ balance-scale readings?

(a) Histogram I

(b) Histogram II

(c) Histogram III

(d) Histogram IV

The prom committee is decorating the venue for prom and wants to hang lights above the diagonals of the rectangular room. If DH=44.5 feet, EF=39 feet, and m∠GHF=128° , find m∠HEF .

Answers

The measure of the angle m∠HEF = 64°, for the diagonals of rectangular room.

Define the term linear pair?A linear pair is just a pair of neighboring angles created by the intersection of two lines. 1 and 2 create a linear pair in the illustration. The same holds true for pairs 1, 2, 3, and 4. A linear pair's two angles are always supplementary, that means that the sum of their measurements is 180 degrees.

The given data:

DH=44.5 feet, EF=39 feet, and m∠GHF=128°

As, GE is the straight line.

Thus,

m∠EHF = 180 - 128 (sum of all angles of line is 180, linear pair)

            = 52°

Now,

m∠HEF = 180 - 52 / 2 (isosceles triangle)

m∠HEF = 64°

Thus, the measure of the angle m∠HEF = 64°, for the diagonals of rectangular room.

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The diagram for the question is attached.

suppose that the student scores on a test follow a bell-shaped distribution with mean 50 and standard deviation 10. using the empirical rule, what percent of students scored scored above 60?

Answers

Approximately 99.7% falls within three standard deviations.

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

The empirical rule states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, approximately 95% falls within two standard deviations, and approximately 99.7% falls within three standard deviations.

Since the mean score is 50 and the standard deviation is 10, this means that approximately 68% of the students scored between 40 and 60, approximately 95% scored between 30 and 70, and approximately 99.7% scored between 20 and 80. Therefore, approximately 32% of students scored above 60.

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please help me find angle m< 4 (geometry)

Answers

Assuming the horizontal lines are parallel, we will see that the measure of angle 4 is m∠4 = 39°

How to find the measure of angle 4?

First, we assume that the two horizontal lines are parallel, that will mean that the measures of angle 4 and 7 are equal, beacause both of them are on the same quadrant.

Also, notice that angle 7 and 141° should add up to 180° (a plane angle) thus, we will get:

m∠7 + 141° = 180°

m∠7 = 180° - 141°

m∠7 = 39°

The measure of angle 4 is also that, so we conclude that:

m∠4 = 39°

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Point A(-3, 5) is first reflected over the line y =x, then reflected over the line with equation y = -4. What are the coordinates of the image of A after the two reflections?

Answers

The two coordinate values are simply swapped in the reflection over the line y=x: A'' = (4, 1) (4, 1)

What are the positions of A's reflections after the two?

The x-coordinate and y-coordinate of a point change positions when it is reflected across the line y = x.

The x- and y-coordinates shift positions and are negated when a point is mirrored across the line y = -x.

In light of this, the reflection of the point (x, y) across the line y = x is (y, x).

The first reflection's location across the vertical line x=-3 ensures that the y-coordinate is constant.

The point (-3, 4) on the line of reflection will become the halfway point between A and A' thanks to the x-coordinate of A':

(-3, 4) = (A +A')/2

2(-3, 4) (-3, 4)

-A = A' = (-6-(-7), 8 -4) = (1, 4) (1, 4)

The two coordinate values are simply swapped in the reflection over the line y=x: A'' = (4, 1) (4, 1)

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Shane invested $3,500 in a savings account that pays 4% interest

semiannually (every 6 months). How much money will he have in his

account in 5 years?

Answers

The money in Shane's account after five years will be $4900.

The formula for simple interest is -

S.I. = PRT/100, where P is principal, R is rate of interest, T is time and SI is simple interest. Interest is calculated semi-annually then t will be 5×2 years.

Keep the values in formula -

S.I. = 3500 × 4 × 5 × 2/100

Performing multiplication in numerator on Right Hand Side of the equation

S.I. = 1,40,000/100

Cancelling common zero on Right Hand Side of the equation

S.I. = $1400

Total amount = Principal + Interest

Keep the values in formula -

Total amount = 3500 + 1400

Performing addition

Total amount = $4900

The total money in account will be $4900.

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Astronomers often measure large distances using astronomical units (AU) where 1 AU is the average distance from Earth to the Sun. In the image, d
represents the distance from a start to the Sun. Using a technique called "stellar parallax," astronomers determined θ
is 0.00001389 degrees.

b) Write an equation to calculate d
for any star.

(Your response must include an equal sign, and the variables d
and θ.)

Answers

The trigonometric function can be used to calculate the distance (4124966.128 AU) between the star and also the sun.

d = 4124966.128

Define the term "stellar parallax"?Astronomers can determine the apparent shift in location of a star by measuring its position once, then again six months later. Stellar parallax refers to the apparent motion of the star.

Given:

Astronomers frequently use astronomical units (AU), where 1 AU represents the typical distance between the Earth and the Sun.The graphic depicts the separation between the Sun and a star.Astronomers discovered that using a method known as "stellar parallax," is 0.00001389 degrees.The steps listed below can be used to calculate the astronomical unit distance between star and the Sun:

Step 1: To calculate the distance in astronomical units here between star and the Sun, apply the trigonometric function.

The sine function is used to calculate the distance in step two.

sin Ф = P/ H

where H is the hypotenuse and P is the perpendicular.

Step 3: Replace the above expression with the known terms.

sin (0.00001389 ) = 1/d

Step 4: Condense the previous expression.

d = 4124966.128

Thus, the distance of star from the sun is found as d = 4124966.128.

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the value of
3(2x+3) when x=5

Answers

Answer:

39

Step-by-step explanation:

3(2x + 3) = 6x + 9 = 6(5) + 9 = 39

[tex]3(2x+3)[/tex] when x is 5

Substitute for x with the given value:

[tex]3(2(5)+3)[/tex]

[tex]3(10+3)[/tex]

[tex]3(13)[/tex]

[tex]=\fbox{39}[/tex]

how to solve this equation?

Answers

Answer: 1

Step-by-step explanation:

Explanation and steps in photo

HELP ME PLEASE THIS IS HALF MY GRADE

Answers

Answer: 2/7

Step-by-step explanation:

Go from point A to D by moving up 2 units and right 7 units. Since it slopes up it's a positive number.

15. Use the given degree of confidence and sample data to find a confidence interval for the

population standard deviation c. Assume that the population has a normal distribution.

Round the confidence interval limits to the same number of decimal places as the sample

standard deviation.

College students' annual earnings: 98% confidence; n = 9, x = $3959, s = $886

Answers

Confidence interval will be between $831.57 and $1040.67.

To find a confidence interval for the population standard deviation, we can use the formula:

(sample standard deviation / square root of sample size) x t-multiplier

where t-multiplier is based on the degree of confidence and the sample size.

For a 98% confidence interval and a sample size of 9, the t-multiplier is 2.821 (from a t-table or a calculator with a t-distribution function).

So the confidence interval for the population standard deviation is:

(886 / sqrt(9)) x 2.821 = (886 / 3) x 2.821 = 295.33 x 2.821

                                                                  = 831.57 to 1040.67

Therefore, we can be 98% confident that the population standard deviation of the annual earnings of college students falls between $831.57 and $1040.67.

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a numerical measure of linear association between two variables is the . a. standard deviation b. covariance c. coefficient of variation d. variance

Answers

option b is correct - covariance

The correlation coefficient (r ) is a numerical measure that measures the strength and direction of a linear relationship between two quantitative variables.

Covariance

A numerical measure of linear association between two variables.

Covariance is a measure of how changes in one variable are associated with changes in a second variable. Specifically, covariance measures the degree to which two variables are linearly associated. However, it is also often used informally as a general measure of how monotonically related two variables are.  It is similar to variance, but where variance tells you how a single variable varies, covariance tells you how two variables vary together.

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Sixty three is the product of nine and a number

Answers

Sixty three is the product of nine and a number which is seven

What is multiplication?

Multiplying in math is the same as adding equal groups.

The number of items in the group grows as we multiply. Parts of a multiplication problem include the product, the two components, and the answer.

In the multiplication problem involving 63 as the product of 9 and another number

let the number be x

9 * x = 63

9x = 63

isolating x by dividing both sides by 9

9x / 9 = 63 / 9

x = 7

the number is 7

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Solve the following problem by graphing -6 = -3y + 2x 4= -y + 8/3x

Answers

Answer:

y = 2/3x - 2

y = 8/3x - 4

Step-by-step explanation:

If you graph it you will intersect at (1 , -1 1/3)

Other Questions
an online gaming company is introducing several new initiatives to encourage respectful communication between players of online games. which of the following best describes a solution that uses crowdsourcing? responses the company allows individual players to endorse fellow players based on courteous interactions. once a player receives enough endorsements, the player is given free rewards that can be used during gameplay. The play area in a local park ha the dimenion hown at the right. What i the area of the park? 25 m 24 m 30 m What i the bae of the triangle? What i the height of the triangle? PLEASE HELP The following scenario applies to the next four questions:Scientists want to investigate the effects of caffeine on short term memory by randomly assigning 200 volunteers to intake 86mg of caffeine before a memory quiz and the remaining 200 volunteers to intake 86mg of a placebo before taking a memory quiz. The quiz score of each volunteer is recorded.What is the response variable? a client in labor has been pushing effectively for 1 hour and the presenting part is at a 2 station. the nurse determines which physiological need is primary to the client at this time? A monkey is able to breath and deliver oxygen throughout its body. How does cellular organization make this possible?1.A monkey has systems of specialized cells, that make tissues in the respiratory and circulatory systems that help them breath.2.A monkey carries out gas exchange through many organ systems3.A monkey has cells that change based on the environment. What is The climax Of my Wonder Horse? And What is the Resolution Of my Wonder Horse? Solve for the solution to a system of equations using the following matrices and Cramers rule. Show your work.A= [2 1] X= [5 1] Y= [2 5][1 3] [5 3] [1 5] which part of the brain is responsible for thinking and planning? multiple choice question. cerebral cortex limbic system brain stem hypothalamus which of the following is an example of overconfidence bias? group of answer choices the human resource manager is looking for a replacement for an excellent former employee, so she compares all potential hires to that employee. the human resource manager hires someone because she is a recent graduate from a university that other successful hires have come from. the human resource manager's gut instinct tells him a potential hire is not right, so he looks for evidence to confirm his suspicion. the human resource manager carefully weighs the information about a new hire before making a decision. as compared to the asthenosphere, the lithosphere is _____. group of answer choices hotter and more able to flow hotter and less able to flow cooler and more able to flow cooler and less able to flow geol 101 a police siren emits sound waves at a frequency of 400 hz. if the police car moves toward you at a speed of 27.0 m/s, what siren frequency will you perceive? take the speed of sound to be 343 m/s. Which tables represent functions? Select all that apply. Group of answer choicesx y-2 -2-1 0-2 32 5x y4 -21 -10 04 2x y-3 -9-1 -30 05 15x y0 -22 03 17 5 Multiply Both Equations to Eliminate a Variable5.x - 3y = 62x + 5y = -10 analyze the differences in the ideas held by various enlightenment figures concerning the roles of women in europeansociety (a) Estimate the total mass of an HIV virion by comparing its volume with that of an,E coli cell and assuming they have the same density.(b) The HIV maturation process involves proteolytic clipping of the Gag polyprotein so that the capsid protein CA can form the shell surrounding the RNA genome and nucleocapsid NC can complex with the RNA itself. Using Figures 2.30 and 2.31 to obtain the capsid dimensions. estimate the number of CA proteins that are used to make the capsid and compare your result with the total number of Gag proteins. question 7 how does cloud computing help iot devices? select two. 1 point draw insights from data collected from the iot devices and users provide the resources to store and process the data produced by iot devices and users provide a fixed physical location for the data collected from iot devices minimize latency in reporting and responding to data collected through iot sensors from around the world What information Does the National Weather Service produce? Select three options article on topic exercise 5. the entry to establish a $200.00 petty cash fund is (a) debit petty cash, $200.00; credit cash, $200.00. (b) debit petty cash, $200.00; credit miscellaneous expense, $200.00. (c) debit miscellaneous expense, $200.00; credit cash, $200.00. (d) debit cash, $200.00; credit petty cash, $200.00. SOAPstone for the powdered wife by John smith?