Determine the slope and the y-intercept: y = 3x - 1

Determine The Slope And The Y-intercept: Y = 3x - 1

Answers

Answer 1

Answer:

Slope is 3

y - intercept is -1

Answer 2

Answer:

slope = 3, y- intercept is - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x - 1 ← is in slope- intercept form

with slope m = 3 and y- intercept c = - 1


Related Questions

find the slope of the line on the graph write your answer as a fraction or a whole number

Answers

Answer:

-3/2

Step-by-step explanation:

Slope=rise/run

Pick any 2 points and you can see that for every increase in 2 increases for x, there are 3 decreases for y.

Suppose a random samples of ticket prices for concerts by the Rolling Stones was obtained. For comparison purposes another random sample of Coldplay ticket prices was obtained. True or False: The two groups of data are independent samples.

Answers

A random samples of ticket prices for concerts and the random samples of Coldplay ticket prices are independent . The answer is True.

According to the questions,

A random samples of ticket prices for concerts by the Rolling Stones was obtained. For comparison purposes another random samples of Coldplay ticket prices was obtained.

The two groups of data are independent samples.

Hence, a random samples of ticket prices for concerts and the random samples of Coldplay ticket prices are independent . The answer is True.

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26. Aluminum bronze consists of copper and aluminum, usually in the ratio of 10:1 by weight. If a machine made of this alloy weighs 66 pounds, how many pounds of aluminum does it contain? (A) 660 (B) 60 (C) 6.6 (D) 6​

Answers

Answer:

(D). 6.

Step-by-step explanation:

The number of parts = 1 + 10 = 11.

So 10/11 of the alloy is copper and 1/11 is aluminium.

So the answer is 1/11 * 66

= 66/11= 6 pound,s

help me pls

if you write a wrong answer you will be reported by the app.

Answers

The complete proof of the theorem is

Statements                                     Reasons

1. p||q                                               1. Given

2. ∠1≅∠3                                         2. Alternate interior angles theorem

3. ∠1≅∠3                                        3. Definition of congruent angles

4. ∠3 + ∠2 ≅ 180°                          4. Definition of linear pair

5. m∠3 + m∠2 = 180°                      5. Linear pair theorem

6. m∠1 + m∠2 = 180°                     6. Substitution prop. of equality

7. ∠1 and ∠2 are supplementary  7. Consecutive interior angles theorem

Proof of Angle theorems

From the question, we are to complete the given proof

The proof is completed as shown below

Statements                                     Reasons

1. p||q                                               1. Given

2. ∠1≅∠3                                         2. Alternate interior angles theorem

3. ∠1≅∠3                                        3. Definition of congruent angles

4. ∠3 + ∠2 ≅ 180°                          4. Definition of linear pair

5. m∠3 + m∠2 = 180°                      5. Linear pair theorem

6. m∠1 + m∠2 = 180°                     6. Substitution prop. of equality

7. ∠1 and ∠2 are supplementary  7. Consecutive interior angles theorem

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You work on a surgical unit that receives 87 new patients per week. In your spare time, you are trying to improve pain control across the unit. As you prepare to collect your baseline data before testing your change, you consider your plan to gather this information. Which of the following would be the best data collection plan for this project, and why

Answers

Collect data on a representative selection of patients for two weeks.

is the best data collection plan for this project.

According to the statement

we have a given that the surgical unit that receives 87 new patients per week.

and we have to tell the data plan to collect the baseline data before testing your change to control the pain across the unit.

And We know that the Data collection is A representative sample is one technique that can be used for obtaining insights and observations about a targeted population group

So,

Collecting data on a representative portion of your population — that is, sampling — allows you to collect baseline data and start making improvements faster, using fewer resources, than would be possible if you tried to look at every patient. Baseline data is important so that you can see if the changes you are testing are leading to improvement. Collecting data about a non representative sample of your population, such as by looking only at patients with the most severe pain, won't show the broad impact of your project on your unit.

So, Collect data on a representative selection of patients for two weeks.

is the best data collection plan for this project.

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Disclaimer: This question is incomplete. Please read the full content below.

Question:

You work on a surgical unit that receives 87 new patients per week. In your spare time, you are trying to improve pain control across the unit. As you prepare to collect your baseline data before testing your change, you consider your plan to gather this information. Which of the following would be the best data collection plan for this project, and why?

(A) Collect data on the pain level of every patient for at least a year.

(B) Collect data for at least a year, focusing only on patients who have undergone especially painful surgeries.

(C) Collect data on a representative selection of patients for two weeks.

(D) There is no reason to collect baseline data.

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For the real-valued functions f(x)=2x+3 and g(x)=√x-5, find the composition fog and specify its domain using interval notation.
(fog)(x) =
Domain of fog:

Answers

Find fog

fog(x)f(g(x))f(√x-5)2√(x-5)+3

For real range the domain

x-5≥0x≥5

Domain is [5,oo)

How do I put the pairs for the values in the domain

Answers

Answer:

Step-by-step explanation:  use a square bracket [ when the set includes the endpoint and a parenthesis ( to indicate that the endpoint is either not included or the interval is unbounded.

The line plot (shown in the attached image) shows the prices of sunglasses at a department store.

a. Find the mean, median, and mode.
b. Which measure best describes the data? Why?
c. Which measure might be misleading in describing the average price of sunglasses? Explain your reasoning.

Please help!! show all work

Answers

a. The median is 70, the mode is 60, and the mean is 70.8.

b. Mean best captures the data.

c. When there are outliers, the mean might be a deceptive center measure.

Calculating the Mean, Median, and Mode

Mean: Total number of sunglasses / total quantity of pries

Mean = (20 + 20 + 50 + 50 + 50 + 60 + 60 + 60 + 60 + 60 + 60 + 70 + 70 + 70 + 80 + 80 + 80 + 80 + 90 + 90 + 90 + 90 + 100 + 100 + 130) / 25

Mean = 70.8

Median is equal to the (n/2 + 1)th term.

The number of sunglasses in this case is n.

(25/2 + 1)th term as the median

Median = 13th term

Median is 70

Mode is  the most frequent data

Therefore, mode = 70

Why is mean the most appropriate central measure ?

The mean is often the ideal measure of central tendency to use when your data distribution is continuous and symmetrical, such as when your data are normally distributed. So, mean here denotes the typical cost of the sunglasses.

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Answer:

Step-by-step explanation:

two hundred twenty five students play a team sport at lincoln high school these students represent 3/8 of the total

Answers

The total number of students in the school is calculated as; 600 students

How to find fraction of a total?

Usually, some figures are expressed as a fraction of a whole as depicted in this case. Thus, when we are given a fraction of a whole to be equal to a particular figure, we will just cross multiply to get the total number.

We are told that;

Number of students that play a team sport at Lincoln high school = 225

Now, we are told that the number above represents a fraction of 3/8 of the total students in that school.

Thus, if the total number of students in the school is x, then we can say that;

(3/8)x = 225

Multiply both sides by 8 to get;

3x = 1800

x = 1800/3

x = 600 students

Thus, we can conclude that if two hundred and twenty five students play a team sport at Lincoln high school and these students represent 3/8 of the total, then we can say that the total number of students in the school is 600 students.

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Which of the following expressions has a product of 36?

A. (-3)(12)
B. (-6)(-6)
C. 2(-18)
D. 4 · 8

Answers

Answer:

B. (-6)(-6)

Step-by-step explanation:

-  X - = +

and 6 x 6 = 36.

Chantelle has 56 stickers. she will give all of the stickers to 8 friends. each friend will receive the same number of stickers. which equation will help chantelle decide how many stickers, n, to give to each friend?

Answers

Chantelle can use the following equation,

n = (Number of stickers) / (Number of friends)

or n = 56/8

Given Information

Chantelle has 56 stickers

⇒ Number of stickers = 56

She will distribute all of the stickers to 8 friends

⇒ Number of friends = 8

The number of stickers each friend will get = n

We have to form an equation for n.

Forming the Equation

Equation for  the number of stickers to be given to each friend is as follows,

n = (Number of stickers) / (Number of friends)

n = 56/8

n = 7

Therefore, Chantelle needs to give 7 stickers to each of her 8 friends. And, the equation used to find this count, n is n = (Number of stickers) / (Number of friends) or n =56/8

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a total of $7000 is invested: part at 6% and the remainder at 10%. How much is invested at each rate if the annual interest is $470?

Answers

Answer:

680

Step-by-step explanation:

Which geometric shape could be used to model the building?


cylinder

pyramid

cone

rectangular prism

Answers

Answer:

Rectangular Prism

Step-by-step explanation:

We usually see building shaped as a 3D rectangle. If this is the type of building you are talking about, we use a rectangular prism in order to build the building with correct measurements.

Select the correct answer. Find the solution(s) for x in the equation below. x^2 -25 =0

Answers

Answer:

Step-by-step explanation:

Find the roots of x^2-25=0 by solving for x.

Add 25 to both sides

x^2=25

Square root both sides

x=-5

x=5

Answer:

x=5;x=-5

Step-by-step explanation:

It was right for me

If a circle has a radius of 4 meters, what is its circumference?

Answers

Answer:  12.56

Step-by-step explanation:

4 x 3.14

pi = 3.14

What is the common ratio of the geometric sequence below?
10, 15, 22.5, 33.75, ...

A. 2/3
B. 1.5
C. 5
D. 7

Answers

The common ratio of the geometric sequence is 1.5

Common ratio can be described as difference between two numbers in a sequence.

The first term of the sequence is 10 and the second term is 15, the common ratio can be calculated by dividing the first term by the second term

= 15/10

= 1.5

Hence the common ratio of the sequence is 1.5

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Answer:

B

Step-by-step explanation:

The common ratio of the geometric sequence is 1.5

Common ratio can be described as difference between two numbers in a sequence.

The first term of the sequence is 10 and the second term is 15, the common ratio can be calculated by dividing the first term by the second term

= 15/10

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1.5

Casey is deciding which of two landscapers to hire. Each landscaper charges an hourly rate plus a fee for each job. Casey correctly wrote and solved a system of linear equations by substitution. In his work, he substituted an expression for one variable and solved for the other. This resulted in the equation 5

Answers

One landscaper's hourly rate is $15 lower than the other landscaper's. Casey is deciding which of two landscapers to hire. Each landscaper charges an hourly rate plus a fee for each job.

What is system of linear equations?

A set of two linear equations with two variables is a system of linear equations. Casey is deciding between hiring one of two landscapers. Each landscaper bills a fee for each job in addition to an hourly rate. A set of linear equations was appropriately written and solved by Casey using substitution. He solved for the other variable and substituted an expression for one in his work. The intersection of the lines that represent the linear equations is where a system of linear equations finds its solution. Each landscaper bills a fee for each job in addition to an hourly cost. Casey produced a system of linear equations that was correctly written and solved. The hourly rates for both landscapers are the same, however their rates for individual jobs vary.

Casey is deciding between hiring one of two landscapers. Each landscaper bills a fee for each job in addition to an hourly cost. By using substitution, Casey created and properly figured out a set of linear equations. He solved for the other variable and replaced an expression for one in his work, producing the equation 5 = 20.

equation 5=20

20-5 = 15

Therefore, One landscaper's hourly rate is $15 lower than the other landscaper's.

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If WX= 82 cm, find the length of YZ. (OV = 9cm and OV is perpendicular to YZ)

Answers

The length of the measure of YZ is 80cm

Perpendicular lines

Perpendicular lines are lines that are at angle 90 degrees to each other. From the given diagram;

WX = 82cm

Required

Length. of YZ

Using the pythagoras theorem

YV = VZ = √41²-9²

YV = VZ = √1600

YV = VZ = 40

Since YZ = YV + VZ

YZ = 40cm + 40cm

YZ= 80cm

Hence the length of the measure of YZ is 80cm

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Bens barbershop has a rectangular logo for their business that measures 7 1/5 feet long with an area that is exactly the maximum area allowed by the building owner. create an equation that could be used to determine m, the unknown side length of the logo.

Answers

A = 7M is the equation that might be used to find the unknown side length, M, of the rectangular logo.

Expression steps of the equation

We can determine the following details from the query:

Logo= rectangle with a

Length ,L= 7-foot

'A' stands for the logo's area, and 'M' for the side that isn't recognized.

The rectangle's area (A) is computed using:

A = L*W

⇒A = 7*M

(As per query, length, L=7 & W= M)

Consequently, the formula 'A = 7M' might be used to calculate the logo's undetermined side length, M.

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Jagrit is looking at two computer repair stores.


Store 1: Data-Fix

The total cost charged by Data-Fix is represented by the graph

as shown.

a) Write an equation to model the relation of total cost, C, and

number of hours, n as shown in the graph.

b) One of the points on the graph is (3, 60). Explain the

meaning of this point, in the context of this scenario.


Store 2: Comput-Repair

It charges a fixed cost of $10 plus $15 per hour for repair

services.

c) Write an equation to model the relation of total cost, C, and

number of hours, n, in Comput-Repair.

d) On the grid provided, graph the line that describes the fee structure for Compu-Repair.

e) What are the coordinates of the point of intersection?

f) What does it mean in this scenario?

g) Based on the point of intersection, how would you advise Jagrit when trying to choose between the two

computer repair stores? Fully explain your answer supported by the information from the graph.
PLEASE I DON'T HAVE TIME

Answers

See below for the solution of each question

The equation of the model

The points are given as:

(3,60) and (5, 80)

The equation is calculated as:

[tex]C(n) = \frac{C_2 -C_1}{n_2 -n_1} * (n - n_1) + C_1[/tex]

This gives

[tex]C(n) = \frac{80- 60}{5-3} * (n - 3) + 60[/tex]

Evaluate the quotient

C(n) = 10 * (n - 3) + 60

Expand

C(n) = 10n - 30 + 60

Evaluate

C(n) = 10n + 30

Hence, the relation of total cost, C, and number of hours, n is C(n) = 10n + 30

Explain the points on (3, 60)

The point (3, 60) means he paid $60 for 3 hours

The equation of the model for Comput-Repair

Here, we have:
Fixed = $10

Hourly rate = $15

The equation is calculated as:

C(n) = Fixed + Rate * Number of hours

This gives

C(n) = 10 + 15n

Hence, the relation of total cost, C, and number of hours, n is C(n) = 10 + 15n

The graph of the fee structure for Compu-Repair

The equation is represented as:

C(n) = 10 + 15n

See attachment for the graph

The coordinates of the point of intersection

This is the point where the two lines intersect.

From the graph, we have the point of intersection to be:

(n, C(n)) = (4, 70)

The meaning in this scenario

This means that the charges for Comput-Repair and Data-Fix are the same after 4 hours

Advice Jargit

Based on the point of intersection, it is best that Jargit uses Compu-Repair because they have a lesser hourly rate

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Use the box-and-whisker plots to determine which statements are true.

Answers

The true statements are :

the average monthly temperatures of New Orleans are not as varied as that of Indianapolis.

The median of the average monthly temperatures of New Orleans is equal to the upper quartile of the average monthly temperature of Indianapolis.

What are the true options?

A box plot is used to study the distribution and level of a set of scores. The box plot consists whiskers. The whiskers represents the minimum and maximum scores.

On the box, the first line to the left represents the lower (first) quartile. The next line on the box represents the median.  The third line on the box represents the upper (third) quartile.

Range for New Orleans = 85 - 50 = 35

Range for Indianapolis = 75 - 25 = 50

Median for New Orleans = 70

Upper quartile for  Indianapolis = 70

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Supergran runs from her chalet to the top of the mountain. She knows that if she runs at a speed of 6 mph she will arrive at 1 pm, whereas if she leaves at the same time and runs at 10 mph, she will arrive at 11 am. At what speed should she walk if she wants to arrive at 12 noon

Answers

Using proportions, it is found that she should walk at a speed of 8 mph to arrive at noon.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, considering the speeds of arrival at 11 am and at 1 pm, we have that for each 2 km slower, she arrives one hour later.

Walking at 10 mph she arrives at 11 am, hence she should walk at a speed of 8 mph to arrive at noon.

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Vic is standing on the ground at a point directly south of the base of the CN Tower and can see the top when looking at an angle of elevation of 61°. Dan is standing on the ground at a point directly west of the base of the tower and must look up at an angle of elevation of 72° in order to see the top. If the CN Tower is 553.3 m tall,how far apart are Vic and Dan to the nearest meter? Include a well-labeled diagram as part of your solution.

Answers

The angle of elevation of 61° and 72° with the height of the tower being 553.3 m. gives Vic's distance from Dan as approximately 356 meters.

How can the distance between Vic and Dan be calculated?

Location of Vic relative to the tower = South

Vic's sight angle of elevation to the top of the tower = 61°

Dan's location with respect to the tower = West

Dan's angle of elevation in order to see the top of the tower = 72°

Height of the tower = 553.3m

[tex]tan( \theta) = \frac{opposite}{adjacent} [/tex]

[tex]tan( 61 ^{ \circ}) = \frac{553.3}{ Vic' s\: distance \: to \: tower} [/tex]

[tex]distance = \frac{553.3}{tan ( {61}^{ \circ} )} = 306.7[/tex]

Vic's distance from the tower ≈ 306.7 m

Similarly, we have;

[tex] Dan's distance = \frac{553.3}{tan ( {72}^{ \circ} )} = 179.8[/tex]

Dan's distance from the tower ≈ 179.8 m

Given that Vic and Dan are at right angles relative to the tower (Vic is on the south of the tower while Dan is at the west), by Pythagorean theorem, the distance between Vic and Dan d is found as follows;

d = √(306.7² + 179.8²) ≈ 356

Therefore;

Vic is approximately 356 meters from Dan

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find x and the measure of each side. Round to two decimal places, if necessary.

Answers

The values of the triangles are as follows:

x = 7 unitsGH = 21 unitsHI = 21 unitsGI = 12 units

How to find angles and side of a triangle?

The triangle is an isosceles triangle because two sides and angles are equal. Therefore,

4x - 7 = 2x + 7

4x - 2x = 7 + 7

2x = 14

x = 14 / 2

x = 7 units

GH = 4(7) - 7 = 28 - 7 = 21

HI = 2(7) + 7 = 14 + 7 = 21

GI = 7 + 5 = 12

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please answer both asap!!!

Answers

I think for the first one its always occur along plate boundaries, and for the second one its season of the year.

Choose the equation that satisfies the data in the table.

Answers

Answer:

Option A.

Step-by-step explanation:

Demonstration

[tex]y=\frac{7}{4} x+7[/tex]

for x = -4

[tex]y=\frac{7}{4} (-4)+7=-\frac{28}{4} +7=-7+7=0[/tex]

for x= 0

[tex]y=\frac{7}{4}(0) +7=0+7=7[/tex]

for x= 4

[tex]y=\frac{7}{4} (4)+7=\frac{28}{4} +7=7+7=14[/tex]

Hope this helps

Please HELP!!!!
will give brainliest!!

Answers

Answer:

Original equation:

y = a sin(b(θ -c)) + d

a = vertical dilation (stretch) of the amplitude

b = horizontal compression (shrink) of the period

c = horizontal shift (left/right)

d = vertical shift (up/down)

Your function is:

y = 3 sin(3θ + π) - 2

First, put it into the general from by factoring out the three in the argument of the sine:

y = 3 sin(3(θ + π/3)) - 2

a = vertical (amplitude) dilation = 3

b = horizontal (period) compression = 2π/period = 3

c = horizontal shift = π/3 to the left

d = vertical shift = -2

Stronger evidence against the null hypothesis is indicated by: Group of answer choices lower levels of significance. smaller p-values. lower probabilities for the power of the test. smaller critical values.

Answers

Stronger evidence against the null hypothesis is indicated by: smaller p-values.

What is null hypothesis?

A statistical conjecture known as a null hypothesis asserts that certain features of a population or data-generating process are not different from one another.

A mechanism to reject the null hypothesis with a predetermined level of confidence is provided by hypothesis testing.

The alternative hypothesis is supported if the null hypothesis can be rejected.

The foundation of the scientific falsification principle is null hypothesis testing. The null hypothesis presupposes that any variation in the selected characteristics you observe in a set of data is the result of chance.

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The following two-way table describes student's
after school activities. find the probability that a
randomly selected student either does sports or
works.
grade
sports
music/drama
work
20
7
sophomore
3
junior
20
13
2
25
5
senior
5
p(sports u work) = [?]
round to the nearest hundredth.
lol

Answers

P ( work/ senior ) = 0.14

The attached table

required

P ( work/ senior )

This is calculated using:

P ( work/ senior ) = n ( work/ senior )/ n ( senior ).

n ( work/ senior ) = 5

n ( senior ) = 25 + 5 + = 35

So:

P ( work/ senior ) = 5/35

P ( work/ senior ) = 0.14

Add 25+5+5 (because that is all the numbers in the 'Seniors' row) and then take the 5 that is in the 'Work' column and put that over 25. (5/25 fraction as a percent is 14).

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Determine if the solution set for the system of equations shown is the empty set, contains one point or is infinite. x + y = 6 x - y = 0

Answers

The solution of the system of equations contains one point

How to determine the number of solutions?

The system is given as:

x + y = 6

x - y = 0

Add both equations

2x = 6

Divide by 2

x = 3

Substitute x = 3 in x - y = 0

3 - y = 0

Solve for y

y = 3

So, we have x =3 and y = 3

Hence, the solution of the system of equations contains one point

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Let f(x)=4x-1 and g(x)=2x^2+3(f+g)(x) Given the graph of g(x), describes the transformation of the parent function f(x)=2^x. Mice and menHow do the emotions Crooks pretend to feel and actually feel contrast? What does this show about his character? Given that y varies directly with x in the table, find thevalue of y if the value of x is 5. Muscle tissue isConnective tissue called fascinaTruea test that measures theamount of crea in the blood Is called An oblique cylinder has a radius of 10 units and slant length of 26 units. an oblique cylinder has a radius of 10 units and a slant length of 26 units. what is the volume of the cylinder? Suppose the shipping weight of your cheese shop's customized gift baskets is asymmetrically distributed with unknown mean and standard deviation. for a sample of 45 orders, the mean weight is 66 ounces and the standard deviation is 10.2 ounces. what is the upper bound of the 95 percent confidence interval for the gift baskets average shipping weight? a. note that the correct answer will be evaluated based on the z-values in the summary table in the teaching materials section. please round your answer to the nearest tenth. b. note that the correct answer will be evaluated based on the full-precision result you would obtain using excel. pls answer this fast i need the answer Mr. and Mrs. Vaughn both take a specialized multivitamin prescription each day. Mr. Vaughn takes a prescription The four dimensions of intimacy are ________ 3. Which of the following structures is the only hard part of the rotifer and the only part that is usually found as fossils?A: stomachB: footC: coronaC: trophi Answer these two questions plsThank you if your able to answer! :)Q1) Find the LCM and HCF of the following by using prime factorisation method. (i) 12,18(ii) 12,15 and 21Q2) If LCM (16, y) = 48 and HCF (16, y) = 12Find y. Short term goals are goals that can be reached in:1-7 days.O1-12 months.01-5 years.O24 hours.1-2 years. These transactions took place for Bramson Co. 2021 May 1 Received a $5,000, 12-month, 6% note in exchange for an outstanding account receivable from R. Stoney. Dec. 31 Accrued interest revenue on the R. Stoney note. 2022 May 1 Received principal plus interest on the R. Stoney note. (No interest has been accrued since December 31, 2021.) port Record the transactions in the general journal. The company does not make entries to accrue interest except at December 31.[Credit account titles are autom when amount is entered. Do not indent manually. Record journal entries in the order presented in the problem.) Date Account Titles and Explanation Debit Credit Which of these statements is true about the drug utilization management (UM) rules? If a dielectric material, such as teflon, is placed between the plates of a parallel-plate capacitor without altering the structure of the capacitor, how is the capacitance affected?. What was the result of the self-rule movement in Austrialia? ramon is a parking lot attendant. he estimates that 30% of the cars in the lot are sedans, 10% are minivans, and 20% are suvs. he designs a simulation. let 0,1, and 2 represent sedans. let 3 represent minivans. let 4 and 5 represent suvs. let 6,7,8 and 9 represent other cars. the table show the simulation results. what is the probability that at least one of the next four cars the enter the lot is a sedan? In a DTP project, Fiona is looking for a way to make a page layout attractive to readers. Help Fiona pick the correct word to complete the sentence.Youll need a(n) _____ to capture the attention of your audience. It can be an illustration, a photograph, a block of bold text, or a quote in a column of white space. anyone know the answer?