Kaitlyn is trying to put in a water pipe underneath the
ground for her pool. The pipe will run from point G(c,6) to
point H(-5,d) on the coordinate grid. Which expression
represents the shortest distance between M and N in
units.

Answers

Answer 1

The shortest distance between the two points is √[(c + 5)² + (6 - d)²]

How to determine the shortest distance between the two points?

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

G = (c, 6) and H = (-5, d)

The distance between the two points can be calculated using the following distance equation

distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Where

(x, y) = (c, 6) and (-5, d)

Substitute (x, y) = (c, 6) and (-5, d) in distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

distance = √[(c + 5)² + (6 - d)²]

Hence, the distance expression is √[(c + 5)² + (6 - d)²]

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Related Questions

please help me ☹️ ..​

please help me ..

Answers

Answer:

The answer should be A.) (0,2) and D.) (3,0)

Step-by-step explanation:

Hope i helped.

A brainliest is always appreciated.

Which point corresponds to the real zero of the graph of y=log3(x+2)-1?

Answers

The point that corresponds to the real zero of the graph of y=log3(x+2)-1 is (1, 0)

Logarithm function

Given the logarithmic function expressed as:

y=log3(x+2)-1

The point that  corresponds to the real zero of the graph is at the point where y = 0

log3(x+2)-1 = 0

log3(x+2) = 1

log3(x+2) = log3 3
x + 2  = 3

x = 3 - 2

x = 1

Hene the point that corresponds to the real zero of the graph of y=log3(x+2)-1 is (1, 0)

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Answer:

(1,0)

Step-by-step explanation:

edge 2020

how many solution does 5x - 1 = 10x -4 - 5 x + 3 have?

Answers

Let's simplify the equation:

5x - 1 = 10x - 4 - 5x + 3

Combining like terms, we have:

5x - 1 = 5x - 1

Notice that the variables and coefficients on both sides of the equation are the same. This means that the equation is an identity, and any value of x will satisfy the equation. In other words, this equation has infinitely many solutions.

In a study of speed​ dating, female subjects were asked to rate the attractiveness of their male​ dates, and a sample of the results is listed below ​(1not ​attractive; 10extremely ​attractive). Find the​ range, variance, and standard deviation for the given sample data. Can the results be used to describe the variation among attractiveness ratings for the population of adult​ males

Answers

Answer:

\(Range = 7\)

\(s^2 = 3.53\) -- Variance

\(s = 1.88\) --- Standard Deviation

No, it can not be used

Step-by-step explanation:

Given

I'll use the data in the attachment to answer the question.

(a) Range:

\(Range = Highest - Lowest\)

From the attached data.

\(Highest = 10\)

\(Lowest = 3\)

So:

\(Range = 10 - 3\)

\(Range = 7\)

(b) Variance:

We start by calculating the mean:

\(\overline x = \frac{\sum x}{n}\)

\(\overline x = \frac{5 + 8 + 3 + 8 + 6 + 10 + 3 +......+ 8+8+7}{26}\)

\(\overline x = \frac{171}{26}\)

\(\overline x = 6.58\) --- approximated

The sample variance is then calculated using:

\(s^2 = \frac{\sum(x_i - \overline x)^2}{n-1}\)

This gives:

\(s^2 = \frac{(5-6.58)^2+(8-6.58)^2+(3-6.58)^2+(8-6.58)^2+..............+(8-6.58)^2+(8-6.58)^2+(7-6.58)^2}{25-1}\)

\(s^2 = \frac{88.3464}{25}\)

\(s^2 = 3.53\)  --- approximated

(c) Standard Deviation.

This is calculated as:

\(s = \sqrt{s^2\)

Substitute 3.53 for \(s^2\)

\(s = \sqrt{3.53}\)

\(s = 1.88\) --- approximated

(d) No, it can not be used because the selected sample is too small to represent the total population and as such the result of the measure of variations can not be used.

In a study of speed dating, female subjects were asked to rate the attractiveness of their male dates,

A game of Blackjack or “21” is played with a regular deck of cards. The aim of the game is to have cards that add up to 21. The cards are not replaced to the deck once they have been drawn. If you draw two cards in a row, what is the probability of getting 21, when first card you get is an ace and the second card is a queen?

Answers

The probability of getting 21, when first card is an ace and the second card is a queen = 0.024133.

The term blackjack means that you get a value of 21 with only two cards.

Number of cards in a deck of cards = 52

There are 4 types of cards in a deck of cards - spades, clubs, hearts, and diamonds, out of which spades and clubs are black in colour.

Given that first card is Ace and second one is a Queen.

Odds of getting an Ace are 4/52, odds of the next being Queen is 16/51.

P(blackjack)=4×16/(52/2).

where P is used for probability .

Probability: Probability is simply how likely something is to happen. Whenever we are unsure about the outcome of an event, we can talk about the probabilities of certain outcomes. The analysis of events governed by probability is called statistics.

Probability of getting an ace followed by a queen card: 4/52 * 16/51 = 0.024133.

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Identify the correct equation of the graph

Identify the correct equation of the graph

Answers

Answer:

The correct function is

\(f(b) = {b}^{2} - 4\)

If f(x) = 1 x - 2 v
x-2, what is f¹(x)?

If f(x) = 1 x - 2 vx-2, what is f(x)?

Answers

Answer:

f¯¹(x) =9x+18, for the pictorial(image) question

what is the send question is it asking derivative or inverse

If it is inverse f¯¹(x)=-x-2 as it is

Or if it is derivative f'(x)=-1

Step-by-step explanation:

For the image question f(x)=1/9x-2,f¯¹(x)=?

f(x)=1/9x-2............given

y=1/9x-2................swapping f(x) by y to Easily write

x=1/9y-2................interchanging x and y

1/9y-2=x................changeling side of equation

9(1/9y-2)=(x)9.......multiplying both sides by 9 to override the fraction on the right side

y-18=9x

y=9x-18.................Return to where it were

f¯¹(x)=9x+18..........swap back f¯¹(x) in the y

For the question f(x)=-x-2,f¯¹(x)=?

following the ☝️ arrangement

y=-x-2

x=-y-2

-y-2=x

-y=x+2

y=-x-2

f¯¹(x)=-x-2

A total of 388 tickets were sold for the school play they were either adult tickets or student tickets the number of student tickets sold was three times the number of adult tickets sold how many adult tickets were sold

Answers

Answer:

97

Step-by-step explanation:

Number of adult tickets = a.

Number of student tickets = s.

"A total of 388 tickets were sold"

a + s = 388

"the number of student tickets sold was three times the number of adult tickets sold"

s = 3a

a + s = 388

s = 3a

Substitute s in the first equation with 3a.

a + 3a = 388

4a = 388

a = 97

Answer: 97 tickets

Please, help me find the answer

Please, help me find the answer

Answers

The probability values for the questions posed are :

11/20probability of Public speaking given that student is majoring in Business Administration1/3

A.)

Number of students Taking a public speaking class majoring in business administration.

10 + 45 = 55

P(PS or BA) = 55/100 = 11/20

Therefore, the probability of PS or BA is 11/20

B.)

For the survey described, P(taken a public speaking class | majoring in Business Administration) represents the probability that a selected student has taken a public speaking class given that the student is majoring in business administration.

Hence, as inferred from P(A|B) ; probability of A given B.

C.)

P(PS|BA) = n(PSnBA) / n(BA)

n(PS) = 10+20 = 30

n(PSnBA) = 10

P(PS|BA) = 10/30 = 1/3

Therefore , the probability of PS|BA is 1/3.

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Brennan knew his parents had set up their will some years ago. Neither he nor his sister, Maureen, had ever discussed the will with their parents. When both parents passed away, they met with the family lawyer about the will. What they found was that the money their parents had been giving them over the last few years was a gift and part of their estate planning. The gifts reduced the size of the estate to ensure the value of the estate upon their passing would be under the tax-free limit.
Their parents had not really talked with Brennan or Maureen about how the “gift” money they had been receiving would affect their final inheritance. As they listened to
the estate lawyer give them details of their inheritance, they were shocked to learn there was less than what they had thought.

1. Discuss your thoughts on how Brennan’s and Maureen’s parents handled the informationin the will prior to their passing. Should the parents have explained more clearly about the “gift” money and how it affected their inheritance?

2. What responsibility did Brennan and Maureen have to discuss the will with their parents?

3. What experience do you have with a family member’s will? How would you approach
the topic of writing a will with a family member?

Answers

1.It is generally considered best practice for parents to discuss their intentions with their children and heirs to avoid confusion or misunderstandings.

2.As potential heirs, Brennan and Maureen had a responsibility to communicate with their parents about their estate planning and express any concerns or questions they had.

3.I have personally not had experience with a family member's will. However, I believe it is important to approach the topic of writing a will with sensitivity and empathy.

1. While it is understandable that Brennan and Maureen's parents may have wanted to keep their financial affairs private, their lack of communication may have caused confusion and disappointment for their children. Ideally, the parents should have discussed their estate planning with their children and explained the impact of the gifts on their final inheritance.

2. As potential heirs, Brennan and Maureen had a responsibility to communicate with their parents about their estate planning and express any concerns or questions they had. While it can be difficult to broach sensitive topics like death and inheritance, it is important for family members to have open and honest communication to prevent misunderstandings or disputes down the line.

3. It can be a difficult and emotional topic to discuss, but it is important to have open communication to ensure that everyone's wishes are respected and honored. It may be helpful to consult with a lawyer or financial advisor to ensure that the will is properly drafted and that everyone's needs are addressed.

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A shipping company claims that 95% of packages are delivered on time. A student wants to conduct a simulation to estimate the number of packages that would need to be randomly selected in order to find a package that was not delivered on time. The student assigns the digits to the outcomes.



00-04 = package not delivered on time

05-99 = package delivered on time

How can a random number table be used to simulate one trial of this situation?

Read 100 two-digit numbers. Count the number of packages that were not delivered on time.
Read two-digit numbers. Count the number of packages that are needed in order to find one that was delivered on time.
Read two-digit numbers. Count the number of packages that are needed in order to find one that was not delivered on time.
Read 100 two-digit numbers. Count the number of packages that are needed in order to find one that was not delivered on time.

Answers

Answer:

To simulate one trial of this situation using a random number table, we can follow these steps:Step 1: Assign the digits 00-04 to represent packages not delivered on time and 05-99 to represent packages delivered on time.Step 2: Generate a two-digit random number from the random number table.Step 3: If the generated number falls between 00 and 04, count it as a package not delivered on time. If the generated number falls between 05 and 99, count it as a package delivered on time.Step 4: Repeat steps 2 and 3 until we get a package not delivered on time.The correct option is: Read two-digit numbers. Count the number of packages that are needed in order to find one that was not delivered on time.

Step-by-step explanation:

IM BEING TIMEDDD PLEASE HELPPPPPP

Choose the correct simplification of (6x3 − 7x − 4) + (4x3 + 8x + 3). (5 points)

2x3 − 15x − 7
10x3 + x − 1
2x3 + 15x + 6
10x3 − x − 1

Answers

Answer:

10x^3 + x - 1

Step-by-step explanation:

(6x^3 -7x - 4) + (4x^3 + 8x + 3)

Combine like terms

6x^3 + 4x^3 = 10x^3

Combine like terms

-7x + 8x = x

Combine like terms

-4 + 3 = -1

Combine the results of the terms

10x^3 + x - 1

Find two square numbers that total 45

Answers

9 and 36. First, a square number is what you get when u multiply a number by itself, which means that the square root of a square number will equal a whole number. If you add up 9 and 36 you get 45.
3 and 6

x^2+^2=45
if ×=3 and y=6
then 9+36=45

A rectangle has vertices at these coordinates.
(0, 8), (5, 8), (5, 0)
What are the coordinates of the fourth vertex of the rectangle?
Enter the coordinates in the boxes.

Answers

Answer:

Step-by-step explanation:

(0,0)

i hope this helps

Solve.
4 There are 42 tubes of oil paint on trays. Each tray
holds 6 tubes. How many trays of tubes are there?
Show your work.
7

Answers

Answer: 7

Step-by-step explanation:

Since there are 42 tubes and each tray can hold 6 tubes, it will be 42/6 which is 7.

Each of the 6 cats in a pet store was weighed. Here are their weights
10, 15, 8, 11, 9, 12
Find the mean and median weights of these cats.
If necessary, round your answers to the nearest tenth.

Answers

Answer:

Mean= 10.83

Median= 9.5

Step-by-step explanation:

Given number,

10, 15, 8, 11, 9, 12

N= 6

As we know,

Mean= Ex/N

=10+15+8+11+9+12/6

=65/6

=10.83

Therefore, Mean= 10.83

Now,

Median(MD)= (N+1/2)th item

= 6+1/2

=7/2

=3.5th item

So, Median(MD)= 3th+4th/2 item

= 8+11/2

= 19/2

= 9.5

Therefore, Median= 9.5

If Ricky borrowed $4600 at a rate of 16% interest per year compounded quarterly,
calculate the amount due at the end of 8 years if the interest is compounded
quarterly.

Answers

Answer: $16137.07

Step-by-step explanation:

A = p(1+r/n)^nt

A= 4600(1+0.16/4)^4x8

A= 16137.07

what is a when h=4 cenitmeters,b1=10 centimeters and b2= 5 centi meters

Answers

The value of A of the trapezoid is 30cm^2.

What is a trapezoid?

A trapezoid's quadrilateral has four sides, two of which are parallel while the other two are not. It also goes by the name of a trapezium. A trapezoid is a closed, four-sided form or figure that may enclose a certain area and has its own perimeter. It's a 2D figure rather than a 3D one. The sides that are perpendicular to one another are the bases of the trapezoid. The non-parallel sides are referred to as legs or lateral sides. The distance separating the parallel sides is known as the altitude.

We know that A= 1/2h (b1+b2)

We are given h=4 cenitmeters, b1=10 centimeters and b2= 5 centimeters

So,

⇒A= 1/2h (b1+b2)

⇒A= 1/2(4) (10+5)

⇒A= 2 (15)

A= 30cm^2

Hence, the value of A of the trapezoid is 30cm^2.

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Question: A formula for calculating A, the area of a trapezoid, is A= 1/2h (b1+b2), where is h is the height of trapezoid, and b1 and b2 are the lengths of the parallel sides. What is A when h= 4 centimetres, b1= 10 centimetres, and b2 = 5 centimetres?

Find the degree of this polynomial.
8t5 + 5t4

Answers

Answer:

5

Step-by-step explanation:

The degree of a polynomial is the highest degree of its terms.

Identify the term with the largest exponent on the variable

Identify the degree of each terms

The degree of 8t5 is 5

The degree of 5t4 is 4

Degree of polynomial = 5

100 Points! Multiple choice Geometry question. Photo attached. Thank you!

100 Points! Multiple choice Geometry question. Photo attached. Thank you!

Answers

Answer:

2. C. 50.3 ft²

3. A. 75.4 ft²

Step-by-step explanation:

The lateral surface area of a cylinder is the area of the curved surface of the cylinder. It is calculated by multiplying the circumference of the base by the height of the cylinder. The formula for the lateral surface area of a cylinder is:

Lateral Surface Area = 2πrh

Where:

r is the radius of the baseh is the height of the cylinder

The total surface area of a cylinder is the area of the lateral surface plus the area of the two circular bases. The formula for the total surface area of a cylinder is:

Total Surface Area = 2πrh + 2πr^2

Where:

r is the radius of the baseh is the height of the cylinder

2.

r=2 ft

h=4 ft

Lateral Surface Area = 2πrh=2*22/7*2*4=50.3 ft²

3.

Total Surface Area = 2πrh + 2πr^2=2*22/7*2*4+2*22/7*2

=50.3+25.1=75.4 ft²

8.)
To buy your Halloween costume, you borrowed $15.00 from your mom. Then you
borrowed $3.50 from your Dad to buy face paint, and another $4.00 from your
sister for accessories. How much money do you owe altogether?

Answers

Answer:

22.50$

give brainiest

Answer:

You Owe $22.50

Step-by-step explanation: All yo do is add up all of the $ That they owe to each person and That is your answer.

Amadi has jar with one dollar and two dollar coins in it.

There are coins in total.

A jar of one and two dollar coins.

The ratio of one dollar coins to two dollar coins is .

How many coins are two dollar coins

Answers

Without knowing the total number of coins or the ratio between one dollar and two dollar coins in the jar, we cannot accurately determine the number of two dollar coins.

Amadi has a jar with both one dollar and two dollar coins. The question is asking how many of the coins in the jar are two dollar coins.
To determine the number of two dollar coins, we need more information. The question does not provide any details about the total number of coins or the ratio between one dollar and two dollar coins in the jar. Without this information, it is not possible to give an accurate answer.
If we assume that the jar contains a total of 100 coins, we can use algebra to solve for the number of two dollar coins.

Let's say the number of two dollar coins is x. Then, the number of one dollar coins would be 100 - x.
Since the value of the two dollar coins is double the value of the one dollar coins, we can set up the equation 2x + 1(100 - x) = total value of coins.
Simplifying the equation, we get 2x + 100 - x = total value of coins.
Combining like terms, we have x + 100 = total value of coins.
Since we don't know the total value of coins, we cannot solve for x. Therefore, we cannot determine the number of two dollar coins without additional information.

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Write a word phrase for each expression. 2(n+1)

Answers

Answer:

A number increased by one multiplied by two.

Two distributed into a number and one.

Step-by-step explanation:

First one is way more likely.

3. Find the precise. or exact. sum of these two numbers. 123+358 = ​

Answers

Answer:

481

Step-by-step explanation:

Aim: I can solve two-step word problems involving per
1. A supermarket stocks 300kg of potatoes. 25% of the potatoes are
are sold in 1.5kg bags. What mass of potatoes are sold in 1.5kg b

Answers

Answer:

75 kg

Step-by-step explanation:

300*25/100

3*25

75 Kg

Answer:

75kg

Step-by-step explanation:

potatoes are stocked =300kg

25% of potatoes in kg= 25% * 300kg

=75kg

75kg potatoes are sold in 1.5kg bags.

PLEASE HELP!!!
Nevaeh and Christian are both driving along the same highway in two different cars to a stadium in a distant city. At noon, Nevaeh is 650 miles away from the stadium and Christian is 450 miles away from the stadium. Nevaeh is driving along the highway at a speed of 50 miles per hour and Christian is driving at speed of 25 miles per hour. Let NN represent Nevaeh's distance, in miles, away from the stadium tt hours after noon. Let CC represent Christian's distance, in miles, away from the stadium tt hours after noon. Graph each function and determine the number hours after noon, t,t, when Nevaeh and Christian are the same distance from the stadium.

Answers

The linear functions that define their distances are given as follows:

Nevaeh: 650 - 50t.Christian: 450 - 25t.

The number of hours after noon in which they will be the same distance away from the stadium is of:

8 hours.

What are the linear functions?

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which the parameters are given as follows:

m is the slope.b is the y-intercept.

In the context of this problem, the meaning of each parameter is:

The slope is by how much they get closer each hour, which is the velocity as a negative.The intercept is the initial distance.

They will be the same distance away at the point of intersection of the graph given at the end of the answer, which is of 8 hours.

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PLEASE HELP!!!Nevaeh and Christian are both driving along the same highway in two different cars to a

100 Points. Algebra question, photo attached. Graph the function. Describe its key characteristics. Thank you!

100 Points. Algebra question, photo attached. Graph the function. Describe its key characteristics. Thank

Answers

Answer:

Domain = (-∞, ∞) Range = (-∞, ∞)

End Behavior: As X -> -∞, Y -> -∞ | As X -> ∞, Y -> ∞

Inflection Point: (2,0)

Step-by-step explanation:

100 Points. Algebra question, photo attached. Graph the function. Describe its key characteristics. Thank

The time married men with children spend on child care averages 6.0 hours per week. You belong to a professional group on family practices that would like to do its own study to determine if the time married men in your area spend on child care per week differs from the reported mean of 6.0 hours per week. A sample of 40 married couples will be used with the data collected showing the hours per week the husband spends on child care. The sample data are contained in the table below. 1.4 4.9 8.5 5.2 10.2 2.6 7.2 2.6 11.1 10.6 2.3 7.8 1.8 8.7 2.1 4.5 5.3 3.5 8.8 6.7 2.9 10.8 8.4 4.9 5.7 9.8 0.9 11.9 3.5 8.7 6.5 6.5 2.0 9.7 a. What are the hypotheses if your group would like to determine if the population mean number of hours married men are spending in child care differs from the mean reported in your area? H : HA: # Ag b. What is the sample mean (to 1 decimal)? Calculate the value of the test statistic (to 2 decimals). What is the p-value? greater than .207 c. Select your own level of significance. What is your conclusion? Do not reject the null. We don't have enough evidence to disprove the reported time.

Answers

The null hypothesis (H0) would be that the population mean number of hours married men in your area spend on child care per week is equal to the reported mean of 6.0 hours per week.

The population mean number is equal to the reported mean according to null hypothesis. The alternative hypothesis (HA) would be that the population mean differs from the reported mean.

H0: μ = 6.0 hours/week

HA: μ ≠ 6.0 hours/week

b. To find the sample mean, we need to add up all of the values in the sample and divide by the number of values. The sample mean is 6.34 hours/week.

To calculate the test statistic, we can use the formula:

t = (x' - μ0) / (s / √n)

where x' is the sample mean, μ0 is the hypothesized mean (in this case, 6.0 hours/week), s is the sample standard deviation, and n is the sample size.

Plugging in the values, we get:

t = (6.34 - 6.0) / (3.23 / √40) = 0.34 / (0.53 / 6.32) = 0.34 / 0.08 = 4.25

The p-value is the probability of getting a result as extreme as the one we observed, given that the null hypothesis is true. In this case, we would need to use a t-distribution table or a computer program to find the p-value, since the sample size is small and the population standard deviation is unknown.

c. If we select a level of significance of 0.05, then we can use the p-value to make a decision about the null hypothesis. If the p-value is less than 0.05, we would reject the null hypothesis and conclude that the population mean differs from the reported mean. If the p-value is greater than 0.05, we do not have enough evidence to reject the null hypothesis and would conclude that the population mean is likely to be the same as the reported mean.

In this case, the p-value is greater than 0.207, so we do not have enough evidence to reject the null hypothesis. We would conclude that the population mean number of hours married men in your area spend on child care per week is likely to be the same as the reported mean of 6.0 hours per week.

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I need help asp please!!

I need help asp please!!

Answers

The answer is r have a good day

HELP PLSSS . Miley is purchasing several yards of fabric for a school project. If she spent $13.41 and the fabric was $2.98 per yard, how many yards did she purchase?

Answers

Answer:

4.5 yards of fabric.

Step-by-step explanation:

In order to find out how many yards she purchased, you need to divide the money she spent by the price of fabric per yard. Therefore, you divide

13.41/2.98=4.5

4.5 yards of fabric

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Can please someone do this Unrelated businesses Multiple Choice employ production methods that create economies of scale. sell products from the different businesses to much the same types of buyers and retail outlets. have dissimilar value chains and resource requirements with no competitively important cross-business commonalities at the value chain level. will always have several key suppliers in common. perform better than just the sum of the individual businesses. Irving lives in Appletown, and plans to drive along Highway 42, a straight highway that leads to Bananatown, located 143 miles east and 45 miles north. Carol lives in Coconutville, located 98 miles east and 32 miles south of Appletown. Highway 86 runs directly north from Coconutville, and junctions with Highway 42 before heading further north to Durianville. Carol and Irving are planning to meet up at park-and-ride at the junction of the highways and carpool to Bananatown. Irving leaves Appletown at 8am, driving his usual 45 miles per hour. If Carol leaves Coconutville at 9am, how fast will she need to drive to arrive at the park-and-ride the same time as Irving? Anthony, Bridgette and Coleen entered into a partnership. They invest $80,000, $ 100,000 and $ 200,000 respectively. At the end of the first year, Bridgette withdraws $ 40,000, while at the end of the second year, Coleen withdraws $80,000. In what ratio will the profit be shared at the end of 3 years? Select one: a. 6:7:8 b. 6:4:7 c. 12:16:28 d. 12:11:26 e. 12:7-8 If you have two substances with the same volume, but different masses,which one is more dense? What is another name for a distance vs. time graphs Countercultures typically thrive among younger members of a society because _____. multiple choice question. Explain how the democracies of Israel and Turkey compare to the Autocratic Monarchy of Saudi Arabia During the 1960s, u.s. firms created just over _____ of worldwide foreign direct investment and british firms were second accounting for just over 10 percent. Help meeeee pleaseee! 7. There are 25 dinosaurs in a specific Jurassic World Exhibit. Some are T-Rexes and someare triceratops. There are 92 legs total in the exhibit. Create 2 equations to represent thissituation. How many of each type dinosaur is there? (Assume that all of the dinosaurs havethe correct number of limbs.) Let the regionRR3be given byR={(x,y)R21x2,x2yx2+4}Compute the integralI1=R 2(x2+4)/y2d(x,y) What is the solution to the system of equations? please help find the surface area. i will give brainliest Over the course of 1 year, what is the highest position the Sun can reach (measured in degrees) at the South Pole? On what date does this occur?A) A light bulb with a filament glowing at 4000 degrees CelsiusB) A car engine at 140 degrees CelsiusC) A rock at room temperatureD) The sun reaches 23.5 above the horizon December 21-22. considerfunction f(x)=2x^3+12x^2-72x+3, -6 < x write about (Transactional leadership vs transformationalleadership) discussion and write example for each one In the market for reserves, if the federal funds rate is above the interest rate paid on excess reserves, an open market purchase ________ the supply of reserves and causes the federal funds interest rate to ________, everything else held constant. Help asap!The broadest group an organism can be classified into is its:A. kingdomB. domainC. order Given that tan(0) = -7/24 and theta is in Quadrant II, what is cos(theta)?