9.
The original cost of a lamp is $18.95. The lamp is on sale for 25% off. How much will you pay

Answers

Answer 1

Answer:

$14.21

Step-by-step explanation:

To find 25% of 18.95, you can multiply 18.95×0.25, which approximately equals $4.74. Then subtract $4.74 from $18.95 to get $14.21

Answer 2

Answer:

$14.2125

Step-by-step explanation:

We have been given that the original cost of a lamp is $18.95. The lamp is on sale for 25% off.

Since the lamp is on a 25% sale, then the cost of the lamp would be 75% (100%-25%) of the original price.

[tex]\text{Cost of lamp after sale}=\$18.95\times \frac{75}{100}[/tex]

[tex]\text{Cost of lamp after sale}=\$18.95\times 0.75[/tex]

[tex]\text{Cost of lamp after sale}=\$14.2125[/tex]

Therefore, you will have to pay $14.2125 for the lamp.


Related Questions





What is the approximate measure of angle T in the triangle below?

Answers

Answer:

[tex]T=79\degree[/tex]

Step-by-step explanation:

Recall and use the cosine rule to find the approximate value of angle T.

[tex]|SU|^2=|ST|^2+|TU|^2-2(|ST|)(|TU|)\cos T[/tex]

We plug in the values of the side lengths to obtain;

[tex]4.3^2=3.9^2+2.7^2-2(3.9)(2.7)\cos T[/tex]

[tex]18.49=15.21+7.29-21.06\cos T[/tex]

[tex]18.49=22.5-21.06\cos T[/tex]

[tex]18.49-22.5=-21.06\cos T[/tex]

[tex]-4.01=-21.06\cos T[/tex]

[tex]4.01=21.06\cos T[/tex]

[tex]\frac{4.01}{21.06}=\cos T[/tex]

[tex]0.1904=\cos T[/tex]

[tex]T=\cos^{-1}(0.1904)[/tex]

[tex]T=79.02[/tex]

Angle T is approximately 79 degrees.

8................................

Answers

Answer is :

[tex]3{a}^{4} {b}^{3} [/tex]

liam deposits $2400 into an account that earns 8.3% interest compounded quarterly. how much money will liam have in 5 years.

Answers

Answer:

Total = 2,400 * (1 + (.083/4))^4*5

Total = 2,400 * (1.02075)^20

Total = 2,400 * 1.5079528829

Total = 3,619.09

Step-by-step explanation:

Answer:

$3,619.09

Step-by-step explanation:

liam deposits $2400 into an account that earns 8.3% interest compounded quarterly.

Compound interest formula is

[tex]A= P(1+ \frac{r}{n} )^{n*t}[/tex]

where A is the final amount

P is the initial amount deposited

r is the rate of interest

n is the compounding period

t is the time in years

P= 2400, r= 8.3%= 0.083, t=5, n=4 (quarterly)

Plug in all the values

[tex]A= 2400(1+ \frac{0.083}{4} )^{4*5}[/tex]

A= 3619.09

Please help me answer this question. I dont understand any of this.. I will mark brainliest.

Answers

Answer:

A = 77.32

Step-by-step explanation:

Since this is a right triangle we can use trigonometric functions

sin  = opposite side/ hypotenuse

sin A =  80/82

sin A =40/41

Take the inverse sin of each side

sin^-1 (sin A ) =sin ^-1 (40/41)

A =77.31961651

Rounding to the nearest hundredth

A = 77.32

Answer:

77.32°

Step-by-step explanation:

Using cosine law:

80² = 18² + 82² - 2(18)(82)cos

cosA = 9/41

A = 77.31961651°

A teacher calculates the class average on an exam for each of his four classes and finds that the means are equal. Which statement below would lead to believe that this teacher was most pleased with the exam scores in his period 1 class?
A. The scores for period 1 had the lowest median.
B. The scores for period 1 had the highest median.
C. The scores for period 1 had the lowest standard deviation.
D. The scores for period 1 had the lowest IQR.

Answers

Final answer:

The teacher being most pleased with the period 1 class suggests they had the highest median score, indicating a better overall performance by the majority in this class.

Explanation:

The statement that would make the teacher most pleased with the exam scores in his period 1 class would be B. The scores for period 1 had the highest median.

This is because the median represents the middle score in a set of scores. If period 1 had the highest median, it means that at least half of the students in this class scored higher than those in his other classes.

In essence, it shows better overall performance by the majority of the class in period 1, which would make a teacher pleased with the results.

This conclusion may not necessarily hold if we choose other options; for example, low Standard Deviation or Interquartile Range (IQR) mainly speak to the consistency of scores, and lowest median would imply most of the class did not perform very well. Hence, the highest median would generally reflect the most favor on the class performance.

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Final answer:

The statement that would lead us to believe that the teacher was most pleased with the exam scores in his period 1 class is C. The scores for period 1 had the lowest standard deviation.

Explanation:

The statement that would lead us to believe that the teacher was most pleased with the exam scores in his period 1 class is C. The scores for period 1 had the lowest standard deviation.

The standard deviation measures the spread of data around the mean. A lower standard deviation indicates that the scores in period 1 are closer to the average score, suggesting more consistency and potentially higher performance.

The other options, such as the median or IQR, do not directly relate to the teacher's satisfaction with the scores, as they focus on different aspects of the distribution.

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stan bought a new tire for his carand paid $85 plus tax. if the tax rate is 8.5%, how much tax did stan pay?​

Answers

if the tax rate is 8.5% stan payed $7.22

Answer:

Stan paid $7.23 in tax

Step-by-step explanation:

8.5/100=t/85

85•8.5=100t

722.5=100t

722.5/100=t

7.225=t

The graph of the equation y = -1/4x + 1 is shown below.


Which statement best represents the value of y as shown in the graph?

A 1 less than the quotient of the value of x and 4
B 1 more than the opposite of the product of the value of x and 4
C 1 more than the opposite of the quotient of the value of x and 4
D 1 less than the product of the value of x and 4

Answers

The answer you should go with is A

A washing machine requires 27.5 minutes to wash one load of laundry. A clothes dryer requires 60% more time than the washing machine to dry one load of laundry. What is the total amount of time it takes to wash and dry one load of laundry? PLEASE HELP!!!!

Answers

If it takes a washer 27.5 minutes for a load and a dryer takes 60% of that time for a load, convert 60% to a decimal (0.6) and multiply by 27.5 → 27.5 * 0.6 = 16.5 which means it takes the dryer 16.5 minutes for a load. To find the total time it takes for a washer and a dryer to complete 1 load, simply add the two times. 27.5 + 16.5 = 44 minutes.

What is the quotient?

Answers

Answer: FIRST OPTION

Step-by-step explanation:

According the quotient of powers property, when you have the division of two powers with the same base, then you must subtract the exponents.

Therefore, keeping the property above on mind, you have that the quotient is the shown below:

[tex]\frac{(-7)^2}{(-7)^{-1}}=(-7)^{(2-(-1))}=(-7)^{(2+1)}=(-7)^3=-343[/tex]

Answer:

The answer is -343

Step-by-step explanation:

We just need to divide both numbers and find the result

(-7)^2 / (-7)^-1

(-7)^(2-(-1)) =

(-7)^(2+1) =

(-7)^(3) =

(-7)*(-7)*(-7) = (49)*(-7) = -343

 

Select all of the labeled points that could be included while keeping the graph a function.


Answers

Answer:

Points A and F can be included while keeping the graph a function

Step-by-step explanation:

Graph of a function cannot have two different y-values for a given x-value. This means that at any given point on x-axis only one y value must be available.

So from the given points only those points can be selected, where the function is not already having any y-value.

Point A can be included because at x = - 9, no other y value is defined. So this will keep the given graph as a function.

Point B cannot be added, at at x=-6, the function already has a value which is -4. Adding point B, will result in two values at x = -6 which will be against the definition of function. So point B cannot be added.

Similarly, points C, D and E cannot be added either due to the same reason.

Point F can be added as the graph does not has any value at x = 7. So it will have a unique value here.

Answer:

points A and F

Step-by-step explanation:

Could some one help?

Answers

2. First blank is 60. Second blank is 38. Third blank is 50. Fourth blank is 18.

Hope this helps.

Answer:

A. 40/32

B. 60/50

C. 32/40

D. 32/50

E. 40/60

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

60,38,50,18

Step-by-step explanation:

use the information they give you in the equation

we know thee are 40 tulips, 32 roses, 60 daises, and 50 petunias

A. 40 tulips/32 roses

B. 60 daises/ 50 petunias

C. 32 roses/ 40 tulips

D. 32 roses/ 50 petunias

E. 40 tulips/ 60 daises

_________________________________________________

For the second problem :

We know the total student body so to find a percent of them you just divide the number of students by the total

95 sixth graders

------------------------  = 0.38 which is 38 percent

250 students

45 eighth graders

------------------------------ = 0.18 or 18%

250 students

Now to find the number of students first convert the percent to a decimal then multiply that by the total

24 % = 0.24 times 250

and that equals 60 students

and then 20 percent = 0.2 times 250

and that equals 50 students

What are the first three terms of the sequence defined by the recursive function , and ?

Answers

Answer:

The first three terms of the sequence are 6 , 10 , 8 ⇒ 2nd answer

Step-by-step explanation:

* Lets study the rule at first:

- [tex]a_{n}=a_{n-1}-(a_{n-2}-4)[/tex]

∴ [tex]a_{n}=a_{n-1}-a_{n-2}+4[/tex]

* That means to find a term add the difference between

  the two consecutive term before it to 4.

* lets start with [tex]a_{6}=a_{5}-a_{4}+4[/tex]

∵ [tex]a_{5}=-2,a_{6}=0[/tex]

∴ [tex]0=-2 -a_{4}+4[/tex]

∴ [tex]0=2-a_{4}[/tex]

∴ [tex]a_{4}=2[/tex]

* Use [tex]a_{5}[/tex] to find [tex]a_{3}[/tex]

∵ [tex]a_{5}=a_{4}-a_{3}+4[/tex]

∴ [tex]-2=2-a_{3}+4[/tex]

∴ [tex]-2=6-a_{3}[/tex]

∴ [tex]a_{3}=6+2=8[/tex]

* Similar use [tex]a_{4}[/tex] to find [tex]a_{2}[/tex]

∵ [tex]a_{4}=a_{3}-a_{2}+4[/tex]

∴ [tex]2=8-a_{2}+4[/tex]

∴ [tex]2=12-a_{2}[/tex]

∴ [tex]a_{2}=10[/tex]

* Finally use [tex]a_{3}[/tex] to find [tex]a_{1}[/tex]

∵ [tex]a_{3}=a_{2}-a_{1}+4[/tex]

∴ [tex]8=10-a_{1} +4[/tex]

∴ [tex]8=14-a_{1}[/tex]

∴ [tex]a_{1}=14-8=6[/tex]

∴ The first three terms of the sequence are 6 , 10 , 8 ⇒ 2nd answer

Cos(-x)=-cosx for all values of x. True or false

Answers

The statement cos(-x) = -cosx is false becasue cos(-x) = cosx  for all x the statement is false.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have:

Cos(-x)=-cosx

As we know, cos is the ratio of the side adjacent to the hypotenuse

x ∈ (-∞, ∞)

Take x = -30

cos(-30) = √3/2

cos30 = √3/2

cos(-x) = cosx  for all x

Thus, the statement cos(-x) = -cosx is false becasue cos(-x) = cosx  for all x the statement is false.

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Azul has 4 green picks and no orange picks. You add orange picks so that there are 2 orange picks for every 1 green pick. How many picks are there now?

Answers

Answer:

12 picks total

Step-by-step explanation:

1. multiply 2 (orange picks) by 4 (green picks)

    2*4=8 total orange picks

2. add green picks (4) + orange picks (8)

    4+8=12

(14 + 6) + 11 Which of the following is equal to the expression listed above? A. (14 + 6) + (6 + 11) B. (14 + 6) × 11 C. 11 × 14 + 11 × 6 D. 14 + (6 + 11)

Answers

D. 14 + (6 + 11) = 31

Answer:

The answer is D.

Step-by-step explanation:

(14 + 6) + 11 is equal to 14 + (6 + 11). The associative property of addition was used, which is when the equation is the same no matter how it is grouped.

(14 + 6) = 20, and 20 + 11 = 31.

(6 + 11) = 17, and 14 + 17 = 31.

They were grouped differently, but they had the same sum.

I hope this helped! :-)

17 points this is worth all of my points please help

Answers

Answer:

The answer is the first one, the one that has 1 dot on #13  and has 3 dots on #3. Hope this helps. :)

if a football team has a 90% chance of making a field goal for three points and 35% chance of making a touchdown for seven point find the expected value of a touchdown

Answers

Answer:

[tex]V(X) = 2.45\ pts[/tex]

Step-by-step explanation:

We look for the expected value for a touchdown.

If X represents the number of points scored per touchdown scored, then X is a discrete random variable, and by definition, the expected value V (X) for a discrete random variable is defined as:

[tex]V(X) = \sum{XP(X)}[/tex]

Where P(X) is the probability that X will occur.

In the sample space of the random variable X there are two possible values.

[tex]X = 7[/tex] points (1 touchdown) with [tex]P(7) = 0.35[/tex]

[tex]X = 0[/tex] points (0 touchdown) with [tex]P(0) = 1-0.35 = 0.65[/tex]

Then the expected value V(X) is:

[tex]V(X) = 7P(7) + 0P(0)[/tex]

[tex]V(X) = 7(0.35) + 0(0.65)[/tex]

[tex]V(X) = 2.45\ pts[/tex]

6% as ratio in simplest form.

Answers

Answer:

3 : 50

Step-by-step explanation:

6% = 0.06

0.06 = 6/100

6/100 = 3/50

3/50 = 3 : 50

what is a comparison as a rate in ratio form 70 students per 2 teachers​

Answers

Answer:

35:1

Step-by-step explanation:

divide each by two

Rates compare quantities with different units. 70 students per 2 teachers can be written as 70:2 or 70/2. Unit rate compares two measurements, one being 1, like 55 miles per hour (55 miles/1 hour).

A rate compares two quantities with different units. It is a ratio where one quantity is compared to time, for example, km/h, which compares distance (in kilometers) to time (in hours).

Comparison as a rate in ratio form:

70 students per 2 teachers can be written as the ratio 70:2 or in fraction form as 70/2.

Unit rate: A unit rate is a comparison of two measurements, with one measurement having a value of 1, such as 55 miles per hour (55 miles/1 hour).

Martha divides $94 amongst her friends. Leon gets twice as much money as K. Jill gets five more dollars than Leon. Isaac gets $10 less dollars than k. How much money does each friend get?

Answers

Let me see if I can solve this on my own.

So $94 is the first amount.

It got divided so, 94÷2 = $47

So, It's either $47 or this.

47 + 47 (or times 2) = 94 again. But gets five more dollars than Leon. So 94+5= 99 then -10 = 89 but 89 ÷ 2 = 44.5 but since money can't really be half. It's eithier $44 or $45 but in my opinion is $45.

So, these are the most reasonable answers. $47 or $45. You can pick the answer that you thinks makes more sense. This took a long time so I hope this helps!

Answer:

Leon gets money=$39.6

Jill gets money=$44.6

Issac gets money=$9.8

Step-by-step explanation:

We are given that Martha divides $94 amongst her friends.

We have to find that how much money each friend get .

Given k be any number .

Leon gets money =2k

Jill gets money=2k+5

Issac get money=k-10

According to question

[tex]2k+2k+5+k-10=94[/tex]

[tex]5k-5=94[/tex]

[tex]5 k=94+5[/tex]

[tex]k=\frac{99}{5}[/tex]

[tex]k=19.8[/tex]

Leon gets money=[tex]2\times 19.8[/tex]

Leon gets money=$39.6

Jill gets money=$39.6+5=$44.6

Issac gets money=$19.8-10=$9.8

An observatory is shaped like a cylinder standing on one of its bases with a dome on top.The diameter of the floor of the observatory is 64 feet.Witch measurement is closest to the circumference of the base of the observatory in feet ?

Answers

Answer:

[tex]200.96\ ft[/tex]

Step-by-step explanation:

we know that

The circumference of a circle is equal to

[tex]C=\pi D[/tex]

in this problem

[tex]D=64\ ft[/tex]

substitute

[tex]C=\pi (64)=64\pi\ ft[/tex] -----> exact value of the circumference

Find the approximate value of the circumference

assume

[tex]\pi=3.14[/tex]

[tex]64\pi\ ft=64(3.14)=200.96\ ft[/tex]

PLEASE ANWER! WILL GIVE BRAINLIEST!!!!

VERY MUCH NEEDED!!!!!

Answers

Answer: What is the question

Step-by-step explanation:

a rectangular fish tank 60 centimeters by 15 centimeters by 34 centimeters is 1/3 full of water. find the volume of water needed to fill the tank completly.​

Answers

Answer:

[tex]20,400\ cm^{3}[/tex]

Step-by-step explanation:

step 1

Find the volume of the tank

[tex]V=(60)(15)(34)=30,600\ cm^{3}[/tex]

step 2

we know that

If the tank is 1/3 full of water

then

the volume of water required to completely fill the tank is equal to 2/3 of the tank capacity

so

[tex](2/3)30,600=20,400\ cm^{3}[/tex]

If p is true and q is false, then p v q is true. True or false

Answers

Answer:

TRUE

Step-by-step explanation:

Given statement is "If p is true and q is false, then p v q is true".

Now we need to decide if the given statement is True or false

By definition of "p v q" , also read as "p OR q", we know that if any of p or q is true then value of "p v q" is always true.

Given that p is true then "p v q" must be true.

Whch is same as conclusion of the given statement.

Hence final answer is "TRUE".

Answer:

TRUE

Step-by-step explanation:

Given statement is "If p is true and q is false, then p v q is true".

Now we need to decide if the given statement is True or false

By definition of "p v q" , also read as "p OR q", we know that if any of p or q is true then value of "p v q" is always true.

Given that p is true then "p v q" must be true.

Whch is same as conclusion of the given statement.

Hence final answer is "TRUE".

The area of this figure is ...............

Answers

Answer:

19  3/4 in.

Step-by-step explanation:

Basiclly, you just need to add all of them up then divide that answer by how many numbers there are.

Answer:   946 in²

Step-by-step explanation:

Separate the image into 2 sections (left rectangle and right rectangle).

Area of a rectangle = Length (L) × width (w)

Left rectangle: A = 28 × 7

                           = 196

Right rectangle: A = 30 × 25

                              = 750

Area of shape = Area of Left + Area of Right

                        =       196         +       750

                        =                     946

A swimming pool is 6 meters wide and 10 meters long. Which fraction compares the pool's width to the pool's length?

10/6

5/3

3/2

5/2

Answers

10/6 is the answer.

Answer:

simplified form would be 3/2.

Step-by-step explanation:

25 Points Please Answer I Suck At This Stuff

Answers

Answer:

< J must measure the same as <Y

Step-by-step explanation:

Triangle XYZ is the same as Triangle KJL

<X is the same as <K

<Y is the same as <J

<Z is the same as <L

Answer:

C. Angle J

Step-by-step explanation:

Don't worry, a lot of people have trouble with this when they first start, i know i did. Anyways, it is fairly simple once you get it. What you can do to get it the easy way is just look at the screen sideways and see if the shapes are the same. If they are (in the way you are looking) find the corner of the angle of the original triangle and look at the moved triangle to see where it matches up. I'm sorry that I don't have a very good way to explain this answer, you are just going to have to pay really close attention. This whole head-spinning thing is tricky, it came to me easy, but i know its hard for some other people. Either way, just look at which way you are rotating the shape, and follow the angle in that direction. Try and follow it in a circle like a clock because when rotating about the origin, if you rotate 360 degrees, you will get back to the original shape.

Hope this helped ^-^

What is the total value 2 dimes,3 nickles and 2 pennies

Answers

Answer:

37 cents

Step-by-step explanation:

2 dimes= 20

3 nickels=15

2 pennies= 2

20+15+2=37

Answer:

37 cent

Step-by-step explanation:

nickles are 5 so three would be 15, dimes is 10 each so that would be 20, and pennies are 1 so two pennies =2 so the answer is 37 cent

find the equation of the line through (5,7) parallel to the line 7x + 5y = 12​

Answers

Answer:

[tex]y -7 = -\frac{7}{5}(x-5)[/tex]

or

[tex]y = -\frac{7}{5}x +14[/tex]

Step-by-step explanation:

Parallel lines are lines which have the same slope. To write the equation of the line parallel, find the slope of the equation 7x + 5y = 12 through conversion into slope intercept form.

7x + 5y = 12 becomes y = -7/5x + 12/5. The slope is -7/5.

Substitute\ m =-7/5 and the point (5,7) into the slope intercept form.

[tex]y-y_1=m(x-x_1)\\y -7= -\frac{7}{5}(x - 5)[/tex]

Convert the equation to slope intercept form by applying the distributive property.

[tex]y -7 = -\frac{7}{5}(x-5)\\y -7 = -\frac{7}{5}x +7\\y = -\frac{7}{5}x +7+7\\y = -\frac{7}{5}x +14[/tex]

Paul and Jason both have subscriptions to online game accounts. For each game they play, they lose points from their online accounts depending on which game they play. The points in their accounts over time are shown in the graphs below.

Answers

Answer:

B) The initial number of points in Jason's account was 15 points less than the initial number of points in Paul's account, Jason's account runs out of points 5 games before Paul's account runs out of points.

Step-by-step explanation:

We are given two graphs f(x) and g(x).

G(x) represents Paul's Account and f(x) represents Jason's account.

By look at the graphs, Jason starts with 35 points and runs out of points in 5 games.

Paul starts with 50 points and runs out of points in 10 games.

Difference in points = 50 - 35  = 15 points

Jason starts with 15 points less than Paul's initial point.

By looking at the options  B is the correct one.

B) The initial number of points in Jason's account was 15 points less than the initial number of points in Paul's account, Jason's account runs out of points 5 games before Paul's account runs out of points.

Answer:

B) The initial number of points in Jason's account was 15 points less than the initial number of points in Paul's account, Jason's account runs out of points 5 games before Paul's account runs out of points.

Step-by-step explanation:

We are given two graphs f(x) and g(x).

G(x) represents Paul's Account and f(x) represents Jason's account.

By look at the graphs, Jason starts with 35 points and runs out of points in 5 games.

Paul starts with 50 points and runs out of points in 10 games.

Difference in points = 50 - 35  = 15 points

Jason starts with 15 points less than Paul's initial point.

By looking at the options  B is the correct one.

B) The initial number of points in Jason's account was 15 points less than the initial number of points in Paul's account, Jason's account runs out of points 5 games before Paul's account runs out of points.

Other Questions
This voting system was used in Georgia's primaries from 1917 to 1962, allotting votes by county in party primary elections and giving a great amount of power to rural areas at the expense of urban population centers. Which phrase best completes the graphic organizer? "In some parts of the South we work in the fields from sunup to sundown for $12 a week. In Albany, Georgia, nine of our leaders have been indicted not by Dixiecrats but by the federal government for peaceful protest. But what did the federal government do when Albany's deputy sheriff beat attorney C. B. King and left him half dead? What did the federal government do when local police officials kicked and assaulted the pregnant wife of Slater King, and she lost her baby? It seems to me that the Albany indictment is part of a conspiracy on the part of the federal government and local politicians in the interest of expediency. The revolution is at hand, and we must free ourselves of the chains of political and economic slavery. The nonviolent revolution is saying, "We will not wait for the courts to act, for we have been waiting for hundreds of years. We will not wait for the President, the Justice Department, nor Congress, but we will take matters into our own hands and create a source of power, outside of any national structure, that could and would assure us a victory." SNCC Chairman John Lewis, speech at March on Washington, August 28, 1963 In this speech, Chairman Lewis is sending the message that A legal drug obtained with out written orders from a doctor is called anA. Prescription drugB. Over-the-counter drugC. ImpurityD. Hallucinogen i need this for a music project so could you rate these singers from best to worst.out of: Harry styles, Adele, Shawn mendes, ed Sheeran, Louis Tomlinson, Grace Vanderwall, Niall Horan. Cardi B and Liam Payne What is the complete factorization of the polynomial below? x^3+2x^2+ x + 2 Why was the creation of a written law code in the Roman Republic significant? whats the answer for this? Which of the following functions has a domain of x 0?linearsquaringsquare rootcubing Burns are devastating and debilitating because of loss of fluids and electrolytes from the body. How do physicians estimated the extend of burn damage associated with such dangerous fluid loss? Find the radius of a circle with a circumference of 21.99 feet Why is chocolate so important to Cte dIvoire ? After Mexico, which country has the highest number of immigrants entering the United States? A) India B) China C) South Korea D) Philippines Find the area of figure B Which accomplishment of thomas jefferson is shown on the map as unorganized territory Is the Mali's economy more diverse or less diverse than the economy of the United States? Explain your answer. What element of Shakespearen tragedy does the character of Paris represent in Act V, scene iii of Romeo and Juliet which of these is required for natural selection?A.)All individuals of a population must be identical. B.)There must be a small number of individuals in a population. C.)There must be variation among the members of a population. D.)A population of individuals must forced out of their natural habitat. In the game of roulette, a player can place a $8 bet on the number 33 and have a 1/38 probability of winning. If the metal ball lands on 33, the player gets to keep the $8 paid to play the game and the player is awarded an additional $280. Otherwise, the player is awarded nothing and the casino takes the player's $8. What is the expected value of the game to the player? If you played the game 1000 times, how much would you expect to lose?The expected value is $? Round to the nearest cent as needed.The player would expect to lose about $? Round to the nearest cent as needed. When is it acceptable to excuse yourself from a conversation and walk away?A.When another person disagrees with your point of viewB.When someone mentions an uncomfortable topicC.When the conversation becomes a full-blown argumentD.When someone asks you to clarify a statement or point Steam Workshop Downloader