I NEED HELP WITH MATH PLS
screenshot is posted below

I NEED HELP WITH MATH PLS Screenshot Is Posted Below

Answers

Answer 1

Answer: The correct answer is A or B

`

Step-by-step explanation:


Related Questions

uh yeah I’m this bad at math I need help on number 4

Answers

Answer:

36

Step-by-step explanation:

To find the area of a triangle, multipy the base and height of a triangle, then divide it in half

8x9=72/2=36

What kind of equation is shown below?
x2 + 6x - 13 = 0

Answers

Answer:

quadratic equation

Step-by-step explanation:

Answer:

the equation shown here is a quadratic equation

On Tuesday afternoon at camp, Eve did archery and sailing before dinner. Archery started at 12:30p.m. Eve spent 1 hours and 25 minutes at archery and 45 minutes sailing. What time did sailing end?

Answers

Answer:

2:40

Step-by-step explanation:

Add 85 minutes to 45 minutes and then add that to 12:30

Pair of die is rolled what is Probability of rolling a sum of 15

Answers

0%

Where rolling a pair of die, a pair is two so there is two die. Now we have to look at the sample space for the two dice.

1 2 3 4 5 6

1 l 2l 3l 4l 5l 6l 7l

2l 3l 4l 5l 6l 7l 8l

3l 4l 5l 6l 7l 8l 9l

4l 5l 6l 7l 8l 9l 10l

5l 6l 7l 8l 9l 10l 11l

6l 7l 8l 9l 10l 11l 12l

there is 36 outcomes in the sample space none of them include getting 15.

1.There are 270 students at an elementary school. There are 5 boys for every 4 girls. How many boys attend the school?
2. 4 small candies cost $0.96. How much do 6 candies cost?
3. 3 bags of chips cost $5.55. How much does 2 bags of chips cost?
4. 5 movie tickets cost $55. At this rate, what is the cost per ticket?

Answers

Answer:

Step-by-step explanation:

1.  Not sure...

2. $ 1.44

3. $ 3.70

4. $11 per ticket

On the left, prism A. Prism A is a triangular prism. The base has side lengths of 6 centimeters, 8 centimeters, and 10 centimeters. On the right, prism B. Prism B is a rectangular prism. The base has side lengths of 5 centimeters and 5 centimeters.

Answers

Answer:

Prism B has a larger base area

Step-by-step explanation:

Given

Base dimensions:

Prism A:

Lengths: 6cm, 8cm and 10cm

Prism B:

Lengths: 5cm and 5cm

Required [Missing from the question]

Which prism has a larger base area

For prism A

First, we check if the base dimension form a right-angled triangle using Pythagoras theorem.

The longest side is the hypotenuse; So:

[tex]10^2 = 8^2 + 6^2[/tex]

[tex]100 = 64 + 36[/tex]

[tex]100 = 100[/tex]

The above shows that the base dimension forms a right-angled triangle.

The base area is then calculated by;

Area = 0.5 * Products of two sides (other than the hypotenuse)

[tex]Area = 0.5 * 8cm * 6cm[/tex]

[tex]Area = 24cm^2[/tex]

For Prism B

[tex]Lengths = 5cm\ and\ 5cm[/tex]

So, the area is:

[tex]Area = 5cm * 5cm[/tex]

[tex]Area = 25cm^2[/tex]

By comparison, prism B has a larger base area because [tex]25cm^2 > 24cm^2[/tex]

a las 6 am un termometro marca 6°c bajo cero, a las 9 am la temperatura aumento a 4°c, a las 12 pm la temperatura subio 10°c, a las 15 pm la temperatura ascedio 13°c, a las 18 pm la temperatura descendio 13°c, a las 21 pm la temperatura bajo 11°c representa la temperatura en una recta numerica y determina la temperatura a las 21 pm

Answers

La respuesta que buscas es 9°C

A rectangle prism has a length of 10m, a height of 9m, and a width of 15m. What is its volume, in cubic meters

Answers

Answer:

1350 m³

Step-by-step explanation:

To find the volume of a rectangular prism, we have to multiply its length, width, and height together.

The dimensions of this prism are 9, 10, and 15.

9 · 10 · 15 = 1350

The volume is 1350 meters³.

I hope this helps ^^

Need actual help (please hurry)

Answers

a. n=5
20=4n
29/4=n
5=n

Plz help 10 points :)

Answers

The first 3 answers:
With a unit ^3 (cubed) it means they took 3 side measurements and multiplied them to find volume of an object.

An electric frying pan was on sale for 20 percent off. The sale price was $36. What was the original price?

Answers

Answer: $45

Step-by-step explanation:

Let the original price be x.

Since there was a discount of 20%, it means the person bought the frying pan at (100% - 20%) = 80% of the original price. This can then be formed into an equation as:

80% × x = $36

0.8 × x = $36

0.8x = $36

x = $36/0.8

x = $45

The original price was $45

Can someone help me please

Answers

Answer:

1: x = 6

2: There is no solution. Sorry. (because the ending equation will be 0 = 7)

3: I can't see the other part of the equation, I need to see what the fraction is in order to solve it. If you can retake the picture, I can edit my response :)

Step-by-step explanation:

#1: 3(x-1) is pretty much just 3x-3. Simple.

Now, your equation becomes 3x-3 = 2x+9.

Arrange them so that the like terms are together.

Since you will be taking the 2x from 2x+9 over to the other side, it becomes 3x-2x-3 = 9.

Now, bring the 3 over to the side with the 9.

x = 6.

#2: Same as before, -2(x+1) is (-2x) - 2.

So, -2x-2 = -2x+5.

As I said before, you need to group the like terms together.

-2x and -2x go together, and -2 and 5 go together.

-2x+2x=5+2

0=7.

There is no solution.

#3: Like the other two, 4(x-1) is 4x-4. As for the other part, I cannot see the fraction before (x-8).

Solve 12/y = 4/3
Solution is____

Answers

Answer:

y=9

Step-by-step explanation:

12/y=4/3

3×12/y=3×4/3

36/y=4

y×36/y= 4×y

36=4y

36/4=4y/4

9=y

I’m going to guess16


What is the equation of the above graph in vertex form?

Answers

Answer:

https://brainly.com/question/3677306

Step-by-step explanation:

What was her score on this exam, rounded to the nearest integer

Answers

Answer:

Where is the number I need to round to?

(Please don't give me a bad rating i'm trying to help :) )

Please help due in 5 minutes

Answers

i wish i could help, sorry

The box plots below show the distribution of salaries, in thousands, among employees of two small companies.



A box plot titled Salaries in Dollars at Company 1. The number line goes from 25 to 80. The whiskers range from 25 to 80, and the box ranges from 26 to 34. A line divides the box at 30.

Salaries in Dollars at Company 1



A box plot titled Salaries in Dollars at Company 2. The number line goes from 35 to 90. The whiskers range from 36 to 90, and the box ranges from 38 to 44. A line divides the box at 40.

Salaries in Dollars at Company 2


Which measures of center and variability would be best to use when making comparisons of the two data sets?

Answers

Answer:

Mean and IQR

Step-by-step explanation:

The measure of centre gives the central or the measure which gives the best mid term of a distribution. Based in the details of the box plot, the median is the value which divides the box in the box plot.

For company A:

Range = 25 to 80 with a median value at 30 ; this means the median does not give a good centre measure of the distribution ad it is very close to the minimum value. This goes for the Company B plot too; with values ranging from (35 to 90) and the median designated at 40.

Hence, the mean will be the best measure of centre rather Than the median in this case.

For the variability, the interquartile range would best suit the distribution. With the lower quartile and upper quartile both having reasonable width to the minimum and maximum value of the distribution.

Answer:

B

Step-by-step explanation:

Solve the system of equations using the elimination method
2y - 3y = -9
-x + 3y = 6
(-3,3)
(1,3)
(3,3)
(-3,1)

right answer gets brainliest

Answers

9514 1404 393

Answer:

  (d)  (-3, 1)

Step-by-step explanation:

We assume a typo in the problem statement, and that the equations are supposed to be ...

  [tex]2x -3y = -9\\-x +3y = 6[/tex]

Adding the two equations gives ...

  x = -3

Substituting for x in the second equation gives ...

  3 +3y = 6

  1 + y = 2 . . . . divide by 3

  y = 1 . . . . . . . subtract 1

The solution is (x, y) = (-3, 1).

Plzz help everything is in the screen shot

Answers

Answer:

#1

Yesy = x + 1

#2

Yesy = -2x

#3

No

#4

No

Geometry question please help:)

Answers

Answer:

EF = 40√6

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

DC is the radius and its length is:

DC = 20 + 50DC = 70

DC is the perpendicular bisector of EF.  Hence the half of the segment EF is the leg of a right triangle with the hypotenuse of EC = DC = 70 and other leg of 50 units.

Using the Pythagorean theorem, find the length of EF:

(EF/2)² = 70² - 50²(EF/2)² = 2400EF/2 = √2400EF/2 = 20√6EF = 40√6

Find the partial sum S₁7 for the arithmetic sequence with a = 3, d = 2. S17 = ________

Answers

To find the partial sum S₁7 for the arithmetic sequence with a first term (a) of 3 and a common difference (d) of 2, we can use the formula for the sum of an arithmetic sequence. Therefore, the partial sum S₁7 for the arithmetic sequence with a first term of 3 and a common difference of 2 is 323.

The formula for the sum of an arithmetic sequence is given by:

Sn = (n/2)(2a + (n-1)d)

In this case, we want to find the partial sum S₁7, which means we need to substitute n = 17 into the formula.

Plugging in the values, we have:

S₁7 = (17/2)(2(3) + (17-1)(2))

Simplifying the equation inside the parentheses, we get:

S₁7 = (17/2)(6 + 16(2))

Simplifying further:

S₁7 = (17/2)(6 + 32)

S₁7 = (17/2)(38)

Finally, evaluating the expression, we have:

S₁7 = 17(19)

S₁7 = 323

Therefore, the partial sum S₁7 for the arithmetic sequence with a first term of 3 and a common difference of 2 is 323.

Learn more about arithmetic sequence here:

https://brainly.com/question/28882428

#SPJ11

Find the exact value of the integral fx=-2² dx. -2x² 500 dx

Answers

The given integral is: $$\int (-2x^2 + 500)dx$$

To solve the above integral, we integrate both terms separately. Using the integral formulas, $$\int x^n dx= \frac{x^{n+1}}{n+1}+ C$$$$\int kf(x)dx= k\int f(x)dx$$

where C is a constant of integration and k is a constant.

The integral $\int -2x^2 dx$ is:\begin{align*} \int -2x^2 dx &= -2\int x^2 dx\\&= -2\times \frac{x^{2+1}} {2+1} + C\\&= -\frac {2}{3}x^3+ C\end{align*}

The integral $\int 500 dx$ is:\begin{align*}\int 500 dx &= 500\int dx\\&= 500\times x + C\\&= 500x + C\end{align*}

Thus, the integral $\int (-2x^2 + 500) dx$ is:\begin{align*}\int (-2x^2 + 500) dx &= \int -2x^2 dx + \int 500 dx\\&= (-\frac {2}{3}x^3+ C_1) + (500x + C_2)\\&= -\frac {2}{3}x^3+ 500x + C\end{align*}

where C is a constant of integration and $C=C_1+C_2$.

Therefore, the exact value of the integral is $-\frac {2}{3}x^3+ 500x + C$.

To know more about formulas refer to:

https://brainly.com/question/30098467

#SPJ11

Please help it’s due today, if you explain you get brainliest

Answers

the answer would be $25 dollars

I think it’s A but I think that I am incorrect. I’m in desperate need of the answer.

Answers

Answer:

It would be D

Step-by-step explanation:

what is the circumference of a circle with a radious of 8

Answers

Answer:

The circumference is 16π or 50.2654 depending on whether they ask you for an exact value or in terms of pi.

Step-by-step explanation:

2r=d

2(8)=d

16=d

C=πd

C=π16

So, the circumference is 16π or 50.2654 depending on whether they ask you for an exact value or in terms of pi.

Answer:

50.2654

Step-by-step explanation:

are these proportional?

3/2 and 18/8

Answers

Answer:

For two fractions to be proportional, they must be equivalent. 32=1.5 and 188=2.25 , so these fractions are not proportional.

Step-by-step explanation:

Which of these is a nonlinear function. 20 points...

A. x=0
B. x=y/4
C. y=√x
D. y=√5​

Answers

A? i think, i’m not sure.


f(x) = x^4 + 2*x^3 + 3*x^2+4*x + 5
and g(x) = x^2 + 2*x + 4

Note that if we just use the coefficients of f(x) and g(x), then they look like 1 2 3 4 5 and 1 2 4

(5%) Compute the product h(x) of two polynomials f(x) and g(x) manually. In particular, show how the constant term, the x term, the x2 term, the x3 term etc. are computed from f(x) and g(x) respectively. Like Q7, use a table T3 to show line by line, how each term is computed (note the x2 term of h(x) comes from f(x)’s constant term and g(x)’s x2 term, plus f(x)’s x term and g(x)’s x term, and g(x)’s constant term and f(x)’s x2 term etc.
(5%) Compute the quotient q(x) and remainder r(x) when f(x) is divided by g(x), in other words compute q(x) and r(x) manually so that f(x) = g(x) * q(x) + r(x).

Answers

After considering the given data we conclude the x term of h(x) is [tex]44 + 5*2 = 26.[/tex]We can continue this process for the [tex]x^2[/tex] term, the [tex]x^3[/tex] term, and the [tex]x^4[/tex] term, using the appropriate terms from f(x) and g(x) and adding up the products and  the quotient q(x) is [tex]x^2 - x,[/tex] and the remainder r(x) is [tex]3x^2 + 8x + 5,[/tex]

To evaluate the product h(x) of the two polynomials f(x) and g(x) manually, we can apply a table [tex]T_3[/tex] to show line by line how each term is computed.
The table possess columns for the term from f(x), the term from g(x), and the product of the two terms. The rows of the table will correspond to the different powers of x, starting from [tex]x^0[/tex].
For instance , to compute the constant term of h(x), we need to multiply the constant terms of f(x) and g(x). The constant term of f(x) is 5, and the constant term of g(x) is 4, so the constant term of h(x) is 54 = 20.
Similarly, to compute the x term of h(x), we need to multiply the x term of f(x) (which is 4) by the constant term of g(x) (which is 4), and add it to the constant term of f(x) (which is 5) multiplied by the x term of g(x) (which is 2).
Therefore, the x term of h(x) is [tex]44 + 5*2 = 26.[/tex]We can continue this process for the [tex]x^2[/tex] term, the [tex]x^3[/tex] term, and the [tex]x^4[/tex] term, using the appropriate terms from f(x) and g(x) and adding up the products.

To evaluate the quotient q(x) and remainder r(x) when f(x) is divided by g(x), we can use polynomial long division.
We apply division the highest degree term of f(x) by the highest degree term of g(x) to get the first term of q(x).
Then we multiply g(x) by this term of q(x) and subtract the result from f(x) to get the first remainder. We repeat this process with the next highest degree term of the remainder until the degree of the remainder is less than the degree of g(x).
The coefficients of the terms in q(x) are the quotients obtained in each step of the division, and the coefficients of the terms in the remainder are the final remainder obtained after all the steps of the division.
For instance , to compute the quotient q(x) and remainder r(x) when [tex]f(x) = x^4 + 2x^3 + 3x^2 + 4x + 5[/tex] is divided by [tex]g(x) = x^2 + 2x + 4,[/tex]
we first divide [tex]x^4[/tex] by [tex]x^2[/tex] to get [tex]x^2[/tex] as the first term of q(x).
We then multiply g(x) by [tex]x^2[/tex] to get [tex]x^4 + 2x^3 + 4x^2,[/tex] and subtract this from f(x) to get[tex]-x^3 - x^2 + 4x + 5[/tex] as the first remainder.
We then divide [tex]-x^3[/tex] by [tex]x^2[/tex] to get -x as the second term of q(x).
We multiply g(x) by -x to get[tex]-x^3 - 2x^2 - 4x[/tex], and subtract this from the first remainder to get [tex]3x^2 + 8x + 5[/tex]as the final remainder.
To learn more about quotient
https://brainly.com/question/11418015
#SPJ4


The random variable Z has a standard normal distribution.
Compute the probability that Z<-1.8

Answers

Using a Normal distribution table , the value of the given probability is 0.0359

Using the standard normal distribution table

Find the row corresponding to the tenths digit of -1.8, which is -1.8 rounded to -1.9.

Find the column corresponding to the hundredths digit of -1.8, which is -1.8 rounded to -1.80.

The value in the intersection of the row and column is the probability of Z being less than -1.8.

Therefore, we find that the probability is approximately 0.03593

Learn more on Z-score : https://brainly.com/question/25638875

#SPJ4

Free write plssss write something use your imagination and be creative with it!!!!! Worth a lot of points

Answers

Maya on the beach

On a warm summer day, a little girl named Maya layed on the hot sand with her brother George. George loved the beach and loved the water that went with it. Maya and George would always go to the beach every Saturday and play with the kids they made friends with. Since Maya was older than her brother George and loved him she would always surprise him with his favorite kind of ice cream, chocolate. Maya and George were very different in many ways but they always figured out how to get along. Their parents were so happy that they got along and were like best friends, but one day Maya made a big mistake. Maya accidentally broke George’s favorite toy dinosaur. When George found out he cryed so hard and then got very angry at Maya. Maya said sorry so many times but none of them would heal her brother’s loss. Maya told her mom about this and Maya said that she will pay for a new dinosaur with the money she has been saving for a new bike. Her mom agreed and so Maya went and bought George a new dinosaur. When George saw his new toy he was so happy and hugged his sister Maya. Some time later, Maya and George went back to the beach and got their favorite ice cream as usual. Maya saw that her brother was playing with the dinosaur that she bought him. She instantly got so happy, but when her brother looked over at her and smiled so big, she knew that nothing could replace her baby brother.

I know it’s a lot but I wrote it as an assignment for a class of mine it has about 14-15 sentences if you wanna shorten it do as you please.

Answer:

Write abt a poem you like or something

Step-by-step explanation:

Other Questions
in solar heating applications, heat energy is stored in some medium until it is needed (e.g.,to heat a home at night). Should this medium have a high or low specific heat? Suggest a substance that would be appropiate for use as heat-storage medium, and explain its advantages. Given IQ scores are approximately normally distributed with a mean of 100 and standard deviation of 15, the proportion of people with IQs above 130 is:a. 95%.b. 68%.c. 5%.d. 2.5%. Capital Consulting Company had 380,000 shares of common stock outstanding on December 31, 2020. On that date, there were also 4,800 shares of $100 par, 5% noncumulative preferred stock outstanding. On March 1, 2021, the company's common stock split 4-for-1. On December 15, 2021, a preferred dividend was declared and paid in the amount of $23,000. Net income for 2021 was $2,800,000. Required: Compute basic earnings per share for the year ended December 31, 2021. Youth Athletic Services (YAS) provides adult supervision for organized youth athletics. It has a president, William Mayes, and five employees. He and one of the other five employees manage all marketing and administrative duties. The remaining four employees work directly on operations. YAS has four service departments: managing, officiating, training, and dispute resolution. A time card is marked and records are kept to monitor the time each employee spends working in each department. When business is slow, there is idle time, which is marked on the time card. (It is necessary to have some idle time because some direct labor-hours must be available to accommodate fluctuating peak demand periods throughout the day and the week.)Some of the July operating data are as follows:Idle TimeManagingOfficiatingTrainingDispute ResolutionSales revenue$8,850$9,800$4,400$2,100Direct labor (in hours)25320110155120Direct overhead traceable to departments:Equipment$1,140$1,065$890$15Supplies$390$490$440$390Transportation$565$1,190$275$80Other Data:The four employees working in the operating departments all make $18 per hour.The fifth employee, who helps manage marketing and administrative duties, earns $3,200 per month, and William earns $3,950 per month.Indirect overhead amounted to $1,168 and is assigned to departments based on the number of direct labor-hours used. Because there are idle hours, some overhead will not be assigned to a department.In addition to salaries paid, marketing costs for items, such as advertising and special promotions totaled $790.In addition to salaries paid, other administrative costs were $320.All revenue transactions are cash; all others are on account.No inventories are kept.Management wants to know whether each department is contributing to the companys profit. Prepare an income statement for July that shows the revenue and cost of services for each department. To get more information on Job Costing in service organizations, refer to your textbook (Chapter 7 pp. 286, 296-298).YOUTH ATHLETIC SERVICESINCOME STATEMENTFor Month Ending July 31ManagingOfficiatingTrainingDispute ResolutionTotalRevenueCost of Services:LaborDirect OverheadIndirect OverheadTotal costs of servicesDepartment marginLess other costs:Unassigned labor costsUnassigned overhead indirect costsMarketing and administrative costsOperating profit (loss) A and B formed a partnership on December 31, 2020. A contributed $60,000 cash. B's investment consisted of cash, $8,000; inventory, $24,000; and supplies, $8,000 - all at fair market values. Profit for 2020 and 2021 was $75,000 and $85,000, respectively. fill in the blank. a firm understanding of the __________ shapes everything about a piece of writing, from the message, claim, evidence, and counterargument to the tone, style, and page format. imagine you are preparing to take a history exam. based on what you know about sleep, it is probably in your best interest to follow which plan of action? An economy has a fixed price level, no imports and no income taxes. MPC is 0.75 and real GDP is $150 billion. Government increases expenditures by $5 billion. Calculate the: 1. Multiplier and interpret the meaning of the multiplier. 2. Change in real GDP and new level of real GDP.Previous question The measure of angle 1 is 130. how would nationalism lessen the potential for socialist revolutions in some countries How do you create a function in a live script in MATLAB? How does the WTO enforce the trade dispute settlements?a. Reports to the world supreme court.b. Increases tax in countries.c. Changes countries laws.d. Authorizes countries to use tariff retaliation. y Tools ips ps Is A ples of Numbers and Graphs: Prices: Free, Controlled, and Relative (Ch 04) Back to Assignment Attempts Average / 3 6. Working with Numbers and Graphs Q6 Suppose the absolute price The expected returns from the investments are 10% and 15%; the standard deviations of the returns are 16% and 24%, and the correlation between returns is 0.8. What are the expected return and standard deviation of the portfolio if the portfolio weights are given by w1= - 0.5 and w2=1.5? (2 marks) b. Suppose a US company is expected to pay 100 million Australian Dollars (AUD) in 6 months and wants to hedge its exposure to exchange rate risk. The following instruments are available a 6-month forward contract to buy/sell US dollars (USD) at the exchange rate USD/AUD = K, and a put option to sell USD at the exchange rate USD/AUD = K. Assume the price of the put option is p AUD to sell one USD at the strike K, and the risk-free rate is zero. i. If the company uses a forward contract, decide whether to go long or short, then then draw the payoff diagram, with the USD/AUD exchange rate on the x-axis and the net amount the company pays in 6 months (in USD) on the y-axis. (2 marks) ii. If the company uses a put option, decide whether to go long or short, then then draw the payoff diagram, with the USD/AUD exchange rate on the x-axis and the net amount the company pays in 6 months (in USD) on the y-axis. (2 marks) At year-end, the perpetual inventory records of Gutierrez Company showed merchandise inventory of $113,150. The company determined, however, that its actual inventory on hand was $111,200. Part IDescription: Cellular respiration is the process that allows your body to harvest a huge amount of energy from a single glucose. In fact, it's so efficient that you get 30 ATP for every 1 glucose molecule you eat. This exercise is going to break down exactly where each ATP comes from.Instructions: For this presentation, your goal is to walk the audience through every step that is involved in generating an ATP, NADH or FADH2, include the names, structures and enzyme for each step. From there, look up the conversion rates from NADH and FADH2 to ATP and calculate exactly how 30 ATP are formed. Also include any step which uses an ATP (this will count against the total ATP formed).What to submit: Please record yourself explaining the structures and enzymes as well as ATP calculation. Based on an analysis of sample data, an article proposed the pdf f(x) = 0.55e-0.55(x - 1) when x 1 as a model for the distribution of X = time (sec) spent at the median line. (Round your answers to three decimal places.) (a) What is the probability that waiting time is at most 6 sec? More than 6 sec? at most 6 sec P (X 6) = ______more than 6 sec P (X > 6) (b) What is the probability that waiting time is between 4 and 8 sec? A community health nurse is involved in a project to evaluate the health of a city. Which of the following findings would suggest that the city would most likely need additional programs?A) Citizens are actively involved in the city's department of recreation and after-school programs.B) The construction of affordable organized housing developments and communities is nearing completion.C) Approximately one third of the people are recently unemployed due to closure of the automotive factory.D) Several new recreational facilities for adults and children have been created at several locations. At EOQ:Ordering costs will equal the carry costsCosts do not have an influence over EOQOrdering costs will break-even into totalcostsThe quantity ordered will equal the averageinventory the irr rule can lead to bad decisions when cash flows are _____ or projects are mutually exclusive. multiple choice question.