find the midpoint and distance of Z(4, 6) , F(7, 1)
( X2 - X1 ) (Y2 - Y1 )
PLEASE HURRY
ALSO PLEASE SHOW WORK

Answers

Answer 1

Answer:

mid point = (5.5,3.5) distance = 5.830951895

Step-by-step explanation:

4+7=11, 11/2 = 5.5

6+1=7, 7/2 = 3.5

root (7-4)^2 + (1-6)^2 = 5.830951895


Related Questions

if it is a tree then it has leaves which of the diagrams below represents the statement ​

Answers

Answer: B

Step-by-step explanation:

Rectangle ABCD was dilated to create rectangle A'B'C'D. Triangle A B C D is dilated to form triangle A prime B prime C prime D. Side B C is 3.8 units. Side A prime B prime is 15 units and side B prime C prime is 9.5 units. What is AB?

Answers

Answer:

AB=6 Units

Step-by-step explanation:

Given the following lengths of rectangle ABCD and its dilation A'B'C'D' respectively

A'B' = 15 UnitsB'C' = 9.5 UnitsBC = 3.8 units

We are to determine the length of AB. To do this, we first determine the dilation factor.

\(D$ilation Factor =\dfrac{B'C'}{BC} =\dfrac{9.5}{3.8} =2.5\)

Therefore:

\(\dfrac{A'B'}{AB} =2.5\\\\\dfrac{15}{AB} =2.5\\$Cross multiply \\ 2.5 AB =15 \\AB=15 \div 2.5\\$Therefore, AB=6 Units\)

Answer:

6 units

Step-by-step explanation:

edge 2022

what is the slope of y=-1/2x+4​

Answers

Answer:

The slope is -1/2

Step-by-step explanation:

Hope this helps (:

Answer:

i love math anyways

The ans is in the picture with the steps how i got the ans

(hope that helps can i plz have brainlist :D hehe)

Step-by-step explanation:

what is the slope of y=-1/2x+4

After you both have bought some items you decide its time for some candy at the candy store. you decide to buy 5 and 1/2 pounds of jelly beans your friend suggests that you share your jelly beans with your other friends tomorrow. you decide to give each friend 1/4 of a pound. how many friends can you share your jelly beans with? set up an expression to find the number of friends you can share it with____.

Answers

5 and 1/2 pounds of jelly beans can be shared with 22 friends.

The process of converting phrases into equations and then solving those equations is known as solving algebraic word problems. Simple arithmetic procedures will be all that is required to write the equations. a single variable, and. In a real-world situation, the variable often stands for an unknowable quantity.

Given that,

Total pounds of jelly beans = five and a half pounds

Jelly beans to be given to each friend = 1/4 of a pound

Let x be the number of friends,

x = 5 and 1/2 pounds / 1/4 of a pound

Since 1 pound = 1/4 * 4

then, 5 and 1/2 pounds = 4*5 + 2 = 22

Therefore, 5 and 1/2 pounds of jelly beans can be shared with 22 friends.

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Given that,

Total pounds of jelly beans = five and a half pounds

Jelly beans to be given to each friend = 1/4 of a pound

Let x be the number of friends,

x = 5 and 1/2 pounds / 1/4 of a pound

Since 1 pound = 1/4 * 4

then, 5 and 1/2 pounds = 4*5 + 2 = 22

Therefore, 5 and 1/2 pounds of jelly beans can be shared with 22 friends.

Ms. Perez’s biology class continued to grow sunflowers. During the second week, the average sunflower grew 2.2 inches. The table shows the difference from the average for four students.

Answers

Answer:

4/5=0.8

-1 1/2= -1.5

The greatest number is=1.3

Mia, Raj, Clara, Jacob

Answer:

4/5 is equal to 0.8

-11/2 is equal -1.5

The greatest number is 1.3

The students names Mia, Raj, Clara, Jacob

Step-by-step explanation:

I took the assignment. Hope this helps! :)

GUYSS PLEASE HELP
Evaluate:

7xy

when x = 9 and y = 2.5

Answers

Answer:

7 (2.5) (9)

157.5

Answer:

157.5

Step-by-step explanation:

1) Substitute the values of x and y into the equation

We given a question like this the first thing we have to do is to put the values you are given into the equation!

x = 9     7(9)y=2.5     7(9)(2.5)

The brackets mean the same as multiply so to write it down properly it would be 7 × 9 × 2.5

2) Solve

We have the final equation so now we just have to carry it out...

7 × 9 = 6363 × 2.5 = 157.5

Hope this helps, have a great day!!

sin(20) = cos(2u) = tan(24) = 3. [-/5 Points] Use the given conditions to find the exact values of sin(2u), cos(2u), and tan(2u) using the double-angle formulas. sin(u) = -3/5, 3m/2

Answers

Using the given conditions that sin(20) = cos(2u) = tan(24) = 3, we can find the exact values of sin(2u), cos(2u), and tan(2u) using the double-angle formulas. By substituting the known values into the formulas, we can determine the exact values of these trigonometric functions.

Given sin(20) = 3, we can use the double-angle formula for sine to find sin(2u).

The double-angle formula for sine is sin(2u) = 2sin(u)cos(u). We know that sin(u) = -3/5, so we can substitute this value into the formula to calculate sin(2u).

Therefore, sin(2u) = 2(-3/5)(cos(u)).

Given cos(2u) = 3, we can use the double-angle formula for cosine to find cos(2u).

The double-angle formula for cosine is cos(2u) = cos^2(u) - sin^2(u). Since we already know sin(u) = -3/5 and cos(u) can be calculated using the Pythagorean identity (cos^2(u) = 1 - sin^2(u)), we can substitute these values into the formula to determine cos(2u).

Finally, given tan(24) = 3, we can use the double-angle formula for tangent to find tan(2u).

The double-angle formula for tangent is tan(2u) = (2tan(u))/(1 - tan^2(u)). By substituting the known value of tan(24) = 3 into the formula, we can calculate the exact value of tan(2u).

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Shai wants to buy a can of soda the soda costs $1.00 shai has $0.75 what could she use to find how much more money she needs

Answers

Step-by-step explanation:

$1.00 - $0.75 = $0.25

She needs $0.25

Olivia prepared 30 kilograms of dough after working 6 hours. How much dough did Olivia prepare if she worked for 10 hours? Solve using unit rates.

Answers

Answer:

50 kg

Step-by-step explanation:

6/30 = 5 which means she makes 5 kg every hour

so with the given information you multiply 5 and 10 and that's how you get 50

i hope this helps! :)

Sandeep And

tony went to Ganeh houe in their cae Sandeep covered reitance of 11 km in 10 minute Tony covered a ditance of 24 km in 20 minute who drop fater

Answers

Tony dropped faster than Sandeep because his speed was greater, which means that he covered more distance in the same amount of time and arrived at Ganesha's house before Sandeep.

Sandeep and Tony went to Ganesha's house in their car. Sandeep covered a distance of 11 km in 10 minutes, so his speed can be calculated as 11 km / 10 minutes = 1.1 km/minute.

Tony covered a distance of 24 km in 20 minutes, so his speed can be calculated as 24 km / 20 minutes = 1.2 km/minute.

Since Tony's speed is greater than Sandeep's speed, it can be concluded that Tony dropped faster. This means that Tony covered more distance in the same amount of time, so he arrived at Ganesha's house before Sandeep.

It's important to note that speed is a measure of how fast an object covers a certain distance and is calculated by dividing the distance by the time it takes to cover that distance. In this case, the speed of both Sandeep and Tony was calculated by dividing the distance they covered by the time it took them to cover that distance.

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Complete question: Sandeep and Tony drove to the Ganesha residence. Sandeep travels 11 kilometres in 10 minutes. Whoever drove faster, Tony, travelled 24 kilometres in 20 minutes

This is an example of an Undamped Forced Oscillation where the phenomenon of Beats Occurs.
Find the solution of the initial value problem:
x ′′ +33.64x=4cos(6t), x(0)=x ′ (0)=0
x(t)=

Answers

The solution of the given initial value problem, x'' + 33.64x = 4cos(6t), with x(0) = x'(0) = 0, can be expressed as a sum of the homogeneous solution and the particular solution.

To find the solution, we start by solving the homogeneous equation, x'' + 33.64x = 0. The characteristic equation associated with this homogeneous equation is \(r^2 + 33.64 = 0\), which yields the roots

r = ±i√33.64. Thus, the homogeneous solution can be expressed as

x_h(t) = A*cos(√33.64*t) + B*sin(√33.64*t),

where A and B are constants determined by the initial conditions.

Next, we need to find the particular solution for the forced oscillation. Since the right-hand side of the equation is of the form Acos(ωt), where ω = 6, we assume a particular solution of the form x_p(t) = C*cos(ω*t + φ), where C and φ are constants to be determined. Taking the derivatives, we have x_p''(t) = -ω^2*C*cos(ω*t + φ) and x_p'(t) = -ω*C*sin(ω*t + φ). Substituting these into the original equation, we obtain -ω^2*C*cos(ω*t + φ) + 33.64*C*cos(ω*t + φ) = 4*cos(ω*t).

To satisfy this equation, the coefficient of the cosine term must be 4, while the coefficient of the sine term must be zero. This gives us two equations: -ω^2*C + 33.64*C = 4 and -ω*C = 0. Solving these equations, we find C = 4/(33.64 - ω^2) and φ = 0. Therefore, the particular solution is x_p(t) = (4/(33.64 - ω^2))*cos(ω*t).

Finally, we combine the homogeneous solution and the particular solution to obtain the complete solution:

x(t) = x_h(t) + x_p(t) = A*cos(√33.64*t) + B*sin(√33.64*t) + (4/(33.64 - ω^2))*cos(ω*t).

By substituting the initial conditions x(0) = x'(0) = 0 into this equation, we can determine the values of A and B. With the obtained values, the final solution for the initial value problem can be expressed in terms of the given constants and the trigonometric functions involved.

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Use the definition of ""f(x) is O(g(x))"" to show that x4 + 9x3 + 4x +7 is o(x4).

Answers

To show that f(x) = x^4 + 9x^3 + 4x + 7 is o(g(x)) as x approaches infinity, where g(x) = x^4, we need to demonstrate that the limit of f(x)/g(x) is 0 as x approaches infinity.

Let's calculate the limit:

lim(x→∞) [f(x)/g(x)]

= lim(x→∞) [(x^4 + 9x^3 + 4x + 7)/x^4]

= lim(x→∞) [1 + (9/x) + (4/x^3) + (7/x^4)]

As x approaches infinity, the terms (9/x), (4/x^3), and (7/x^4) all tend to 0. Therefore, we have:

lim(x→∞) [f(x)/g(x)]

= lim(x→∞) [1 + 0 + 0 + 0]

= 1

Since the limit is not equal to 0, we can conclude that f(x) = x^4 + 9x^3 + 4x + 7 is not o(x^4) as x approaches infinity.

In other words, f(x) grows at the same rate or faster than x^4 as x becomes large.

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This pyramid has the same base as the prism and its height is three times the height of the prism. What is the ratio of the volume of thepyramid to the volume of the prism?1A} volume of Pyramidvolume of priamB} volume of pyramidvolume of priuamC} volume of pyramidvolume of priimD} Volume of pyramidvolume of priem

Answers

This pyramid has the same base as the prism and its height is three times the height of the prism. What is the ratio of the volume of the

pyramid to the volume of the prism?

1

A} volume of Pyramid

volume of priam

B} volume of pyramid

volume of priuam

C} volume of pyramid

volume of priim

D} Volume of pyramid

volume of

prime

____________________________________________

volume of the prism

this is pretty easy but I don't have the brainpower to do it

this is pretty easy but I don't have the brainpower to do it

Answers

Answer:

Step-by-step explanation:

this is pretty easy but I don't have the brainpower to do it
this is pretty easy but I don't have the brainpower to do it
this is pretty easy but I don't have the brainpower to do it
this is pretty easy but I don't have the brainpower to do it
this is pretty easy but I don't have the brainpower to do it

Sorry I couldn’t type it out it came with the image

Sorry I couldnt type it out it came with the image

Answers

Check the picture below.

Sorry I couldnt type it out it came with the image

PLEASE HELP WILL GIVE BRAINLIEST AND 25 POINTS!!!
A model rocket is launched upward at a speed of 96 feet per second from a platform 7 feet above the ground. The path of the rocket can be modeled by the projectile equation, h(t)=-16t^2+v₀t+h₀
1. What is the maximum height the rocket will reach?
2. What is the average rate of change from the initial height to the maximum height?​

Answers

Answer:

151 ft

48 ft/s

Step-by-step explanation:

h(t)=-16t^2+v₀t+h₀

v₀ = 96  and

h₀ = 7

h(t)=-16t^2+96t+7

The maximum height is at the vertex

The x values of the vertex is at

x = -b/2a = -96/ (2*-16) = -96/-32 =3

Substitute this into the function to find the maximum height

h(3) = -16 ( 3)^2 +96*3+7

    -16*9 +288+7

     151

The maximum height is 151 ft

Average rate of change from 0 to 3

h(3) - h(0)

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

3-0

151 -7

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

3

144/3

48ft/s

I NEED HELPP PLSSSSSSSSSSSSSS

I NEED HELPP PLSSSSSSSSSSSSSS

Answers

Answer:

0.29

Step-by-step explanation:

15.37 / 53 = .29

Hope that helps! (you could always use the calculator. :P)

-scsb17hm

Answer:

0.29

Step-by-step explanation:

Volume of this triangular prism
21 mm base
38 mm
82 mm long
28 mm

Volume of this triangular prism21 mm base 38 mm82 mm long 28 mm

Answers

Answer:

43,624 mm cubed

Volume of Prisms Equation:

V=(Areabase)(height)

Volume of Triangular Prisms:

V=(1/2×base×height)(HEIGHT OF PRISM)

Step by Step Explanation:

V=(1/2×38×28)(82)

Cancelling:

cancel 2 and 28 making it 1 and 14

since the fraction is now 1/1 it is not needed

Back to Solving:

=38×14×82

=43,624 mm cubed

find the local maximum and minimum values and saddle point(s) of the function. you are encouraged to use a calculator or computer to graph the function with a domain and viewpoint that reveals all the important aspects of the function. (enter your answers as comma-separated lists. if an answer does not exist, enter dne.) f(x, y)

Answers

Answer:

to get your answer you have to. Then after that, and finally

2. Find the value of x to the nearest degree.
A) 68
B) 22
C) 24
D) 66

2. Find the value of x to the nearest degree.A) 68B) 22C) 24D) 66

Answers

Answer:

it would be 66 I hope this helps.

PLS I BEG! Help! Fractions! Put the fraction in order from least to greatest. Il lgive brainlist!

PLS I BEG! Help! Fractions! Put the fraction in order from least to greatest. Il lgive brainlist!

Answers

Answer:

2a. 4/9 < 1/2 < 4/4

3a. 4/9 < 1/2 < 5/4

Step-by-step explanation:

Answer:

for A it will be 4/9 < 1/2 < 4/4

and for B it will be 4/9 < 1/2 < 5/4

Step-by-step explanation:

charlotte is playing a beanbag toss game. she has a 10% chance of hitting the 3- point hole, a 30% chance of hitting the 1- point hole, and a 60% chance of getting 0 points. how many bean bags should we expect to toss to get 12 points? describe how you will use a random number table to conduct this simulation

Answers

Answer:

20

Step-by-step explanation:

The expected value of a toss is:

E(X) = (0.10) (3) + (0.30) (1) + (0.60) (0)

E(X) = 0.6

If she scores an average of 0.6 points per toss, then the expected number of tosses needed to get 12 points is:

12 / 0.6 = 20

Using a random number table, we can assign digit 0 as a 3-point hole, digits 1-3 as a 1-point hole, and digits 4-9 as no points.  Read the digits and add the points until you get 12 points.  The number of digits read is the number of beanbag tosses.

The number of bean bags that we should expect her to toss to get 12 points is 20 bean bags.

Based on the information given, the expected value of the toss will be:

= 10%(3) + 30%(1) + 60%(0)

= 0.10(3) + 0.30(1) + 0.60(0)

= 0.30 + 0.30 + 0

= 0.60

Therefore, the expected number of tosses needed will be:

= 12/0.60

= 20

Therefore, the number of bean bags that we should expect her to toss to get 12 points is 20 bean bags.

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The Big Telescope Company sells circular mirrors. Their largest mirrors have radii of 5 meters and their smallest mirrors have radii of 1 meter. The cost of every mirror is proportional to the cube of the mirror's radius. What is the ratio of the total cost of 25 of the company's smallest mirrors to the cost of one of the company's largest mirrors? Express your answer as a common fraction.

Answers

Answer:

The answer is 1/5

Step-by-step explanation:

= . The ellipse 2 + B = 1 is parameterized by x = a cos(t), y = bsin(t), o St < 27. Let the vector field F be given by F(x, y) =< 0, >. (a) Evaluate the line integral Sc F. dr where C is the ellipse a

Answers

The vector field F is a conservative vector field with potential function φ(x, y) = 0. Therefore, the line integral along any closed curve C is always zero.

To evaluate the line integral ∮C F · dr, where C is the ellipse given by x = a cos(t) and y = b sin(t) for 0 ≤ t ≤ 27, and F(x, y) = <0, 0>, we can parameterize the curve C.

Using the given parameterization of the ellipse, we have x = a cos(t) and y = b sin(t). Taking the derivatives, dx/dt = -a sin(t) and dy/dt = b cos(t).

Now, we can express the line integral as ∮C F · dr = ∫F(x, y) · dr = ∫<0, 0> · <dx, dy> over the curve C.

Since F(x, y) = <0, 0>, the line integral simplifies to ∫<0, 0> · <dx, dy> = 0.

Thus, the line integral ∮C F · dr is equal to 0 for any curve C parameterized by x = a cos(t) and y = b sin(t) over the interval 0 ≤ t ≤ 27, where F(x, y) = <0, 0>.

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si juan tiene 7 manzanas y le da 5 a jose ¿cuantas manzanas le quedan a juan?​

Answers

Answer:

2

Step-by-step explanation:

por que el le dio 5 manzanas a jose y le quedaron 2

Evaluate
3x - 5y when x= 5 y= 1

Answers

Answer:

3*5=15 5*1=5 15-5=10

Step-by-step explanation:

The answer is 10.

Find the limit of the following sequence or determine that the limit does not exist. ((-2)} Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The sequence is not monotonic. The sequence is not bounded. The sequence converges, and the limit is-(Type an exact answer (Type an exact answer.) OB. The sequence is monotonic. The sequence is bounded. The sequence converges, and the limit is OC. The sequence is not monotonic. The sequence is bounded. The sequence converges, and the limit is OD. The sequence is not monotonic. The sequence is not bounded. The sequence diverges.

Answers

The correct choice is the sequence is not monotonic. The sequence is bounded. The sequence converges, and the limit is -2 (option c).

The given sequence (-2) does not vary with the index n, as it is a constant sequence. Therefore, the sequence is both monotonic and bounded.

Since the sequence is bounded and monotonic (in this case, it is non-decreasing), we can conclude that the sequence converges.

The limit of a constant sequence is equal to the constant value itself. In this case, the limit of the sequence (-2) is -2.

Therefore, the correct choice is:

OC. The sequence is not monotonic. The sequence is bounded. The sequence converges, and the limit is -2.

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The limit of the sequence is -2.

Given sequence is ((-2)}

To find the limit of the given sequence, we have to use the following formula:

Lim n→∞ anwhere a_n is the nth term of the sequence.

So, here a_n = -2 for all n.

Now,Lim n→∞ a_n= Lim n→∞ (-2)= -2

Therefore, the limit of the given sequence is -2.

Also, the sequence is not monotonic. But the sequence is bounded.

So, the correct choice is:

The sequence is not monotonic.

The sequence is bounded.

The sequence converges, and the limit is -2.

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Assume that when adults with smartphones are randomly selected, 46% use them in meetings or classes. If 6 adult smartphone users are randomly selected, find the probability that at least 3 of them use their smartphones in meetings or classes

Answers

Let's denote the event of using smartphones in meetings or classes as "success" and the event of not using smartphones in meetings or classes as "failure".

The probability of success, P(S), is given as 46% or 0.46, and the probability of failure, P(F), is 1 - P(S) = 1 - 0.46 = 0.54.

We can calculate the probability of each possible outcome using the binomial probability formula:

P(X = k) = C(n, k) * P(S)^k * P(F)^(n-k)

where:

n is the total number of trials (6 in this case)

k is the number of successful outcomes (3, 4, 5, or 6 in this case)

C(n, k) represents the number of combinations of n items taken k at a time. To find the probability of at least 3 successes, we need to sum the probabilities of the individual outcomes:

P(X ≥ 3) = P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)

Calculating each probability:

P(X = 3) = C(6, 3) * (0.46)^3 * (0.54)^(6-3)

P(X = 4) = C(6, 4) * (0.46)^4 * (0.54)^(6-4)

P(X = 5) = C(6, 5) * (0.46)^5 * (0.54)^(6-5)

P(X = 6) = C(6, 6) * (0.46)^6 * (0.54)^(6-6)

Summing up these probabilities will give us the desired probability:

P(X ≥ 3) = P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)

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in words explain how to determine the y intercepts of a rational function. be sure to include if theres a specific way to easily find the y intercept and the possible number of y intercepts

Answers

Answer:

evaluate f(0)there will be 0 y-intercepts if f(0) is undefined, 1 otherwise.

Step-by-step explanation:

You want to know how to determine the y-intercepts of a rational function, and their possible number.

Rational function

A rational function f(x) is the ratio of two polynomial functions p(x) and q(x):

  f(x) = p(x)/q(x)

As such, both numerator and denominator have single function values for any value of the independent variable. The y-intercept of f(x) is ...

  f(0) = p(0)/q(0)

The values of p(0) and q(0) are simply the constant terms in those respective functions.

The simple way to find the y-intercept is to look at the ratio of the constant terms in the polynomial functions making up the rational function. If that is defined, there is one y-intercept. If it is undefined (q(0)=0), then there are no y-intercepts.

<95141404393>

3. Find the measure of segment AC if AS = 28 and BS = 9. Round to two decimal places if necessary. Show all work.

3. Find the measure of segment AC if AS = 28 and BS = 9. Round to two decimal places if necessary. Show

Answers

The measure of the segment AC = 26.51 units in the given figure.

What is Pythagoras Theorem?

The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagorean theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares. The Greek mathematician Pythagoras of Samos is credited with developing the Pythagoras theorem. He was a Greek philosopher who organised a community of mathematicians who practised rigorous number theory and had monastic lifestyles. Despite Pythagoras' invention of the theorem, there is evidence that suggests it was also used by other cultures.

From the given figure we observe that the triangle ABS and triangle ASC are similar using the SAS criteria.

Thus, segment AB = AC using CPCT.

Now, using the Pythagorean theorem we have:

AS² = BS² + AB²

Substitute the given values:

(28)² = (9)² + AB²

AB² = 703

AB = 26.51 units.

Since, AB = AC the value of the segment AC = 26.51 units in the given figure.

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Which of the following is linked to an increase in brain size and intelligence in hominids?options:Increased social interactionsDevelopment of more complex and tools and languageDecreased use of tools and languageIncreased speed and strength please help asap! im trying to do it but its hard It was cloudy and stormy in the morning but clear and sunny in the evening. Which statement describes the change in the weather condition throughout the day that would cause this change in weather?A) A decrease in temperatureB) A change in precipitation formC) An increase in pressureD) A change in wind direction Game theory is commonly used to explain behavior in oligopolies because oligopolies a are characterised by? Though opinion polls usually make 95% confidence statements, some sample surveys use other confidence levels. The monthly unemployment rate, for example, is based on the Current Population Survey of a Read the summary. Jews were persecuted in Europe for hundreds of years even before the 20th century (1). Thousands were massacred by crusading knights on their way to the Holy Land (2). Another common practice was to force Jews into sections of town called ghettos (3). In the 18th century, most European nations forced Jews to migrate back to Israel (4). Which critiques the factual accuracy of the summary Hard work is the key to success. Kendra and her family went on a camping trip to Buffalo Springs State Park. This graphshows how much fuel they used to cook food each day.Amount of fuelxx+ +01Submit4X** ++x X2Liters314How much fuel did they use in all?Write your answer as a fraction, mixed number, or whole number.liters you are treating a patient who has a fever and a cough. he is bringing up red-tinged frothy sputum with each coughing spell. what specific infection control ppe is most appropriate? It takes Sara 5 1/2 hours to drive to her aunt'shouse. She has already driven 3 1/2 hours.Which of the following equations can beused to find the amount of time she has leftto drive, x?a) x - 3 1/2= 5 1/2b) x + 3 1/2 = 5 1/2c) X - 5 1/2= 3 1/2 d) x + 5 1/2 = 3 1/2 2. True or False - If you weremeasuring the distance from Fresno,CA to Miami, FL, the most reasonableunit of measurement would bedecimeters. Explain your answer. (2pts) Write a 5 paragraph essay about Romeo and Juliet the jury's decision in the case of john peter zenger, a newspaper printer, was significant because it supported english law. Explain TWO criteria you would apply to determine whether or not some economic development has occurred in an urban economy during the past 2 years. T cells can be classified by certain glycoproteins on their surface called clusters of differentiation (CD). T helper cells are classified as __________, and T cytotoxic are classified as Read the excerpt from "A Bird, came down the Walk - by Emily Dickinson.Like one in danger, Cautious,I offered him a crumb,And he unrolled his feathers,And rowed him softer Home -Than Oars divide the Ocean,Too silver for a seam,Or Butterflies, off Banks of Noon,Leap, splashless as they swim.How does the capitalization in the final stanza underscore the tone of wonder?by recalling the speakers past experiencesby emphasizing the imagery of delicate flightby showing the ocean as a place of amazing creaturesby describing home as a place all creatures long for 1. Is this a situation that would benefit from collaborative decision making, or is it better for you, the doctor, to make the call yourself? Name at least three pros and three cons for each method of decision-making in this case. for a representative consumer, 4 wings and 3 bottles of dr. pepper generate the same utility as 6 wings and 2 bottles of dr. pepper. how many wings must the consumer give up in order to get one more bottle of dr. pepper? b. what is the technical name associated with the trade-off in (a)? 4. the resistance of a bagel toaster is 14 w. to prepare a bagel, the toaster is operated for one minute from a 120-v outlet. how much energy is delivered to the toaster? Your firm is going to purchase a new piece of equipment. The equipment costs $780,000. The project will last 4 years. It will generate free cash flows of $120,000 in year 1. The project will generate free cash flows of $220,000 in year 2. The project will generate free cash flows of $330,000 in year 3. In the final year the project will generate free cash flows of $600,000. The required rate of return on the project is 8.0% compounded annually. What is the NPV of the project? Your answer should be accurate to two decimal places.