PLEASE HELP! URGENT AND WORTH 50 POINTS!!!

PLEASE HELP! URGENT AND WORTH 50 POINTS!!!

Answers

Answer 1

As a result, the length of the hypotenuse AB is three times that of the side that is perpendicular to angle B, denoted by the symbol x.

what is length ?

Length, which is typically expressed in units like meters, feet, or inches, is a measurement of an object's size or the separation between two locations. It alludes to the measurement of an object's longest dimension or the separation between two ends. The term "length" can also be used to describe the extent of a line or the linear separation between two locations, such as the length of a triangle's side, a road, or a length of rope. In geometry, length is a crucial mathematical notion that is used to gauge an object's size, shape, and location.

given

The length of the side directly across from the angle divided by the length of the hypotenuse is known as the sine of an angle. Here are the facts:

60° sine + (BC/AB)

Using sin 60°, whose value is 3/2, as an example:

√3/2 = (BC/AB)

Multiplying AB by both sides:

BC = AB * √3/2

The hypotenuse's length is determined by adding the squares of the lengths of the other two edges. Here are the facts:

We have the following by substituting the earlier-obtained formulas for AC and BC:

Adding 3 to both sides:

4AB2 + 9AB2 = 12AB2

AB = 3x

As a result, the length of the hypotenuse AB is three times that of the side that is perpendicular to angle B, denoted by the symbol x.

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Related Questions

In circle C with the measure of minor arc BD=42°, find mBED.

Answers

Answer:  mBED = 2(42°) = 84°

Step-by-step explanation:
  We are asked to find the measure of the central angle ∠BED in the circle given that the measure of the minor arc BD is 42°.

We can use the formula that states that the measure of a central angle is equal to twice the measure of its intercepted arc. That is,

m∠BED = 2*mBD

We can substitute the value of mBD, which is 42°, into our equation.

m∠BED = 2*42°

m∠BED = 84°

Therefore, the measure of the central angle ∠BED is 84°.

Shebane rolls a standard six sides number cube. Find p

Answers

Answer:

2/3

Step-by-step explanation:

A six sided number cube :

Sample space = 1,2,3,4,5,6

Non composite numbers on a six sided number cube = 1,2,3,5

Probability of an event = required outcome / Total possible outcomes

Required outcome = number of non composite number = 4

Total possible outcomes = sample space = 6

P(not composite)= 4/6 = 2/3

Find the coordinates of the point 13
of the way from A to B.

Answers

If you know the coordinates for points between A and B, that you can use this method to determine the dimensions of the spot that is located (0, 1/3) between A and B.

What do coordinates number mean?

A set of integers called coordinates are used to locate a spot or a shape in a two-dimensional plane. The x-coordinate as well as the y-coordinate are two integers that describe a point's location on a  [tex]2D[/tex] plane.

To find the coordinates of the point that is [tex]1/3[/tex] of the way from point A to point B. we can use the midpoint formula, which states that the coordinates of the midpoint of the line segment joining two points [tex](x1, y1)[/tex]and  [tex](x2, y2)[/tex] are:

[tex]((x1 + x2)/2, (y1 + y2)/2)[/tex]

In this case, let's assume that point A has coordinates (x1, y1) and point B has coordinates (x2, y2). Then the point that is 1/3 of the way from A to B has coordinates:

[tex]((2/3) × x1 + (1/3) × x2, (2/3) × y1 + (1/3) × y2)[/tex]

Therefore, So if you have the coordinates of points A and B, you can plug them into this formula to find the coordinates of the point 1/3 of the way from A to B.

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which of these animals can travel at the greatest distance from sea level?

Answers

Answer:

Dragonflies

Step-by-step explanation:

They can fly on top of the water, but also, they have the fastest turns per second for their wings.

You mix gas and oil to obtain 2 and 1/2 gallons of mixture for an engine. The mixture is 40 parts gasoline and 1 part oil. How much gasoline must be added bring the mixture to 50 parts gasoline and 1 part oil?

Answers

We need to add a volume of 39.69 fluid ounces of gasoline to the mixture to bring it to 50 parts gasoline and 1 part oil.

What is mensuration?

Mensuration is the branch of mathematics concerned with the measurement of geometric figures and parameters such as length, volume, shape, surface area, and lateral area. 

According to information in the question:

The mixture is 40 parts gasoline and 1 part oil, there are 40 + 1 = 41 parts in total.

Let, the amount of oil in the mixture "x".

We know that there are 2 and 1/2 gallons of the mixture, which is the same as 2.5 * 128 = 320 fluid ounces.

So, the equation which can be formed is

x/41 * 320 = the amount of oil in the mixture (in fluid ounces)

Solving for "x":

x/41 * 320 = x/41 * 50 + 320 - (x/41 * 50)

Multiplying both sides by 41:

x * 320 = 50x + 41(320 - 50x)

Simplifying:

320x = 41(320)

x = 41 * 10 = 410 (fluid ounces of oil in the mixture)

Thus, amount of gasoline in the mixture is

40 parts gasoline / 41 parts total * 320 fluid ounces = 311.22 fluid ounces of gasoline.

Let the gasoline we need be "y", so a equation can be formed as follows

(311.22 + y)/(41 + y) * 320 = 410

Solving for y:

(311.22 + y)/(41 + y) = 410/320

Multiplying both sides by (41 + y) * 320:

311.22 + y = 410/320 * (41 + y) * 320

Simplifying:

311.22 + y = 205.625 * (41 + y)

311.22 + y = 8434.375 + 205.625y

Solving for y:

204.625y = 8123.155

y = 39.69 (fluid ounces of gasoline to add)

Therefore, we need to add 39.69 fluid ounces volume of gasoline to the mixture to bring it to 50 parts gasoline and 1 part oil.

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A volleyball team wants to order a team T-shirt. The Red Nose company charges $3.50 per shirt plus a $79 flat fee. The green Machine company charges $5 per shirt plus a $40 flat fee. Let T be the total cost and R be the number of shirts
show your full work

Red Nose: t = 4.50r + 55
Green Machine: t = 5r + 40

Find the total number of shirts that would make the total cost for each company the same

Number of shirts:
Cost:

Answers

Answer:

 To find the total number of shirts that would make the total cost for each company the same, we can set the two equations equal to each other and solve for the number of shirts:

Red Nose: t = 3.50r + 79

Green Machine: t = 5r + 40

3.50r + 79 = 5r + 40

Subtracting 3.50r from both sides, we get:

79 = 1.50r + 40

Subtracting 40 from both sides, we get:

39 = 1.50r

Dividing both sides by 1.50, we get:

r = 26

So the total cost for each company would be the same if 26 shirts are ordered.

To find the total cost for each company when 26 shirts are ordered, we can substitute 26 for r in each equation:

Red Nose: t = 3.50(26) + 79 = $192

Green Machine: t = 5(26) + 40 = $170

Therefore, if 26 shirts are ordered, the total cost would be $192 for Red Nose and $170 for Green Machine.

       

the unit rate for this relationship is 1 gallon per 18.25 minutes

Answers

The amount of liquid that can be processed in 2 hours at a unit rate of 1 gallon per 18.25 minutes is calculated to be approximately 6.58 gallons.

What is unit rate?

A unit rate is the cost for only one of anything. This is expressed as a ratio with a denominator of 1. For instance, if you covered 70 yards in 10 seconds, you did so at an average speed of 7 yards per second. Although both of the ratios—70 yards in 10 seconds and 7 yards in one second—are rates, only the latter is a unit rate.

Assuming the unit rate of 1 gallon per 18.25 minutes, we can convert 2 hours to minutes by multiplying it by 60, which gives us 120 minutes.

So, in 120 minutes, the amount of liquid that can be processed at a unit rate of 1 gallon per 18.25 minutes would be:

(120 minutes) / (18.25 minutes/gallon) = 6.58 gallons

Therefore, the amount of liquid that can be processed in 2 hours at a unit rate of 1 gallon per 18.25 minutes is found out to be  approximately 6.58 gallons.

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The complete question is :

What is the amount of liquid that can be processed in 2 hours at a unit rate of 1 gallon per 18.25 minutes?

Solve the problems. Show your work.
7
1. Mr. Nguyen had 7/8
pint of water in his water bottle. Then, he drank 2/3
pint. How much water is left in the bottle?

Answers

Answer:

7/8 - 2/3 = 5/8 pint of water left in the bottle.

A group of 125 students went on a field trip to a museum. Mr. Shan asked a random sample of 50 students which exhibit was their favorite. Ten students favored the insect exhibit, 15 students favored the space exhibit, and 25 students favored the dinosaur exhibit. Based on the survey results, which inferences about the entire group of 125 students are true? Select TWO correct answers. 1.One-fifth of students favored the insect exhibit. 2.The dinosaur exhibit is most favored. 3.The insect exhibit is favored more than the space exhibit. 4.Only 24% of students favored the space exhibit. 5.Fifty students favored the dinosaur exhibit.

Answers

Answer:1 and 2

Step-by-step explanation:

so, they asked 50 students and then that was later broke down to smaller groups.

10,15,25

so, for every 10 students will be one. 1 vote= 10 students.

also, the dinosaur had the greatest number of votes so that explains answer 2.

Help with number 4!!!

Answers

Answer:forgot the explanation

Step-by-step explanation: give me a equation to solve

D.
At Cameron Elementary, 2 out of every 3 teachers are women. If there are 45 teachers
teaching at Cameron, how many of those are men? (2pts)

Answers

Answer: 15 of those teachers are men

Step-by-step explanation: 2 out of 3, is of course written as 2/3

if 2/3 are women, this means 2/3 of 45 is 30, meaning 30 of the teachers are women, so if 30/45 are women, the remaining 15 are men

Given the following exponential function, identify whether the change represents
growth or decay, and determine the percentage rate of increase or decrease.

Y=38(1.09)^x

Answers

The exponential equation represents a growth, and the rate of increase is 9%.

Is it a growth or a decay?

The general exponential equation is written as:

y = A*(1 + r)^x

Where A is the intial value, and r is the rate of growth or decay, depending of the sign of it (positive is growth, negative is decay).

Here we have:

y = 38*(1.09)^x

We can rewrite this as:

y = 38*(1 + 0.09)^x

So we can see that r is positive, thus, we have a growth, and the percentage rate of increase is 100% times r, or:

100%*0.09 = 9%

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1. Identify and clearly label the slope and y-intercept for each equation in slope intercept form. Choose the correct answer from the choices below.
Y=-5
A. Slope is-5 and the y-intercept is (0,0)
B.Slope is zero and the y-intercept is (0,-5)
C. Slope is zero and the y-intercept is (0,0)
D. Slope is -5 and the y-intercept is (0,-5)

Answers

Slope is zero and the y-intercept is (0,-5)

What is slope ?

In mathematics, slope is a measure of the steepness of a line. It is defined as the ratio of the vertical change (rise) between two points on the line to the horizontal change (run) between the same two points.

In other words, the slope of a line is the change in the y-coordinate divided by the change in the x-coordinate between any two points on the line. It can also be thought of as the rate at which the line rises or falls as it moves horizontally.

The formula for calculating slope is:

slope = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are two points on the line.

According to the question:
The equation Y = -5 is already in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

Comparing the equation Y = -5 to y = mx + b, we can see that:

The slope, m, is 0, since there is no x-term in the equation.

The y-intercept, b, is -5, since that is the constant value in the equation.

Therefore, the correct answer is:

B. Slope is zero and the y-intercept is (0,-5)


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Examine the diagram. A triangle has angles 1, 2, 3. Angle 4 is an exterior angle to angle 3. For the angles shown in the diagram, which statements are true? Select all that apply. The sum of m∠3 and m∠4 is 180°. The sum of the measures of the adjacent interior angle and one of the remote interior angles is equal to the measure of the exterior angle. ∠3 is supplementary to ∠1. m∠4 = m∠1 + m∠2. m∠1 + m∠2 + m∠3 = 180°

Answers

The statements that are true regarding the diagram given are:

m∠3 + m∠4 = 180° (angles on a straight line)m∠4 = m∠1 + m∠2 (external angle theorem)m∠1 + m∠2 + m∠3 = 180° (triangle sum theorem).

What is the Triangle Sum Theorem?

Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.

We have in the diagram that in the diagram given, the statements that are all true are:

m∠3 + m∠4 = 180° (angles on a straight line)

m∠4 = m∠1 + m∠2 (external angle theorem)

m∠1 + m∠2 + m∠3 = 180° (triangle sum theorem).

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What is the surface area?
26 ft
36 ft
33 ft

Answers

Answer:

To calculate the surface area of an object, we need to know its shape. Please provide more information on the object's shape or context of the problem to calculate its surface area.

Joseph and Deb deposit $600.00 into a savings account which earns 5% interest compounded
continuously. They want to use the money in the account to go on a trip in 1 year. How much
will they be able to spend?
Round your answer to the nearest cent.

Answers

Answer:

We can use the formula for continuous compound interest to find the balance in Joseph and Deb's savings account after 1 year:

A = Pe^(rt)

where A is the balance, P is the principal (initial deposit), e is the mathematical constant approximately equal to 2.71828, r is the annual interest rate as a decimal, and t is the time in years.

Substituting the given values, we get:

A = $600.00e^(0.05*1)

Using a calculator, we get:

A ≈ $632.57

Therefore, Joseph and Deb will have approximately $632.57 in their savings account after 1 year. They can spend up to this amount on their trip. Rounded to the nearest cent, the answer is $632.57.

Suppose a city with population 100,000 has been growing at a rate of 7% per year. If this rate continues, find the population of this city in 19 years.

Answers

Answer:b

Step-by-step explanation:

trust it’s b

How many solutions does it have ?

Y =4
Y =4x-1

Answers

To find the solutions for this system of equations, we can substitute the value of y from the first equation into the second equation and solve for x. That is:

4 = 4x - 1

Adding 1 to both sides, we get:

5 = 4x

Dividing both sides by 4, we get:

x = 5/4

Therefore, the system has a unique solution, which is (x, y) = (5/4, 4).

Answer:

1 solution

Step-by-step explanation:

Y = 4

Y = 4x - 1

Substitute value of Y here,

4 = 4x - 1

4 + 1 = 4x

5 = 4x

5/4 = x

1.25 = x

•°• The given equation can have only 1 solution, i.e, a linear equation with 1 variable gives only 1 solution.

______

hope this helps!

The shape of the distribution of the time required to get an oil change at a 15​-minute ​oil-change facility is skewed right.​ However, records indicate that the mean time is 16.4 minutes​, and the standard deviation is 4.2 minutes. Complete parts​ (a) through​ (c).
Question content area bottom
Part 1
​(a) To compute probabilities regarding the sample mean using the normal​ model, what size sample would be​ required?
A.
The sample size needs to be greater than or equal to 30.
B.
The sample size needs to be less than or equal to 30.
C.
Any sample size could be used.
D.
The normal model cannot be used if the shape of the distribution is skewed right.
Part 2
​(b) What is the probability that a random sample of n=35 oil changes results in a sample mean time less than 15 ​minutes?
The probability is approximately enter your response here.
​(Round to four decimal places as​ needed.)
Part 3
​(c) Suppose the manager agrees to pay each employee a​ $50 bonus if they meet a certain goal. On a typical​ Saturday, the​ oil-change facility will perform 35 oil changes between 10 A.M. and 12 P.M. Treating this as a random​ sample, there would be a​ 10% chance of the mean​ oil-change time being at or below what​ value? This will be the goal established by the manager.
There is a​ 10% chance of being at or below a mean​ oil-change time of enter your response here minutes.
​(Round to one decimal place as​ needed.)

Answers

Part 1: a. A. The sample size needs to be greater than or equal to 30.

Part 2: The probability is approximately 0.0013.

Part 3: There is a 10% chance of being at or below a mean oil-change time of 14.9 minutes.

What is sample size?

The number of individuals or items in a population that are selected for study.

A. The sample size needs to be greater than or equal to 30.

This is due to the Central Limit Theorem, which states that the sample size of a normal distribution must be 30 or more to produce reliable results.

If a sample size is less than 30, the results may be skewed and not accurately represent the true population mean and standard deviation.

B. The probability is approximately 0.0013.

This probability can be calculated by using the z-score formula and plugging in the mean, standard deviation, and sample size.

The z-score for a sample mean of 15 minutes =-3.3,

which translates to a probability of 0.0013 using the z-score table.

C. There is a 10% chance of being at or below a mean oil-change time of 14.9 minutes.

This can be calculated by using the z-score formula and plugging in the mean, standard deviation, and sample size.

The z-score for a 10% chance= -1.28,

which translates to a mean oil-change time of 14.9 minutes.

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Find the slope of the line.


A decreasing line that has a Y intercept of zero and passes through the point, four, negative 3.

Answers

Explanation: To find the slope of the line, you’ll need to do rise/run. Since the line is going down, the slope will be negative.
Answer: -4/1=-4

Pls help meee!!
Anybody!!!

Answers

Answer:

85 degrees.

Step-by-step explanation:

These are parallelograms, meaning the opposite sides are parallel. Since they are parallel, that the line EA becomes a transversal and a bisector for the angle CEK. That means the angle 8 and 3 are equivalent and 7 and 4 are equivalent. This is due to Same Side Interior Angles. These are two halves of the big angle. If the halves are equal, so are the angles. Therefore, CEK = CAK.

Its parallel so if your talking about the line CA which is 10 and the line opposite of that is EK it is 10 because they are parallel meaning the same

Answer is 10

I need help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation: 1. is Yes 2 is no 3. is all 4 is Y and 50 5 is yes and -1

I need a satisfying conditions question answered thank you sm

Answers

The linear function can be written as:

f(x) = -x/3 + 17/3

How to find the linear function?

A general linear function can be written as:

f(x) = ax + b

Where a is the slope, and b is the y-intercept.

If we know two points on the line (x₁, y₁) and (x₂, y₂), then the slope of the linear function is:

a= (y₂ - y₁)/(x₂ - x₁)

Here we know the pairs:

f(-4) = 7

f(5) = 4

So we have the points (-4, 7) and (5, 4), then the slope is:

a = (4 - 7)/(5 + 4) = -3/9 = -1/3

Then we can write:

f(x) = -x/3 + b

now we can use one of the given points, like f(5) = 4, replacing that there we will get:

4 = -5/3 + b

4 + 5/3 = b

12/3 + 5/3 = b

17/3 = b

So the function is:

f(x) = -x/3 + 17/3

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Find the critical numbers and absolute extrema for….

Answers

Final Answer: The critical number is x = DNE. The absolute maximum is x = 0.2, and y = -125.The absolute minimum does not exist on the interval.

To find the critical numbers?

we need to find the values of x where the derivative of y equals zero or does not exist. So, we first find the derivative of y: y' = 10x^{(-3)}

The derivative is defined for all x in the interval [0.2, 2], so there are no points where the derivative does not exist.

To find where y' = 0, we set the derivative equal to zero and solve for x: [tex]10x^{(-3)} = 0[/tex] x = DNE There are no critical numbers since the derivative does not equal zero at any point in the interval.

Next, we check the endpoints of the interval: [tex]y(0.2) = -5/ (0.2^2) =[/tex] [tex]-125y(2) = -5/(2^2) = -1.25[/tex] Since y is a decreasing function on the interval,

the absolute maximum occurs at the left endpoint x=0.2: Absolute maximum: [tex]y(-0.2) = -125[/tex]

Since y is an unbounded function as x approaches zero, there is no absolute minimum on the interval [0.2, 2].

Final Answer: The critical number is x = DNE.The absolute maximum is x = 0.2, and y = -125.The absolute minimum does not exist on the interval.

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What values of y and z make

Answers

The value of y and z are 11 and 11.

How to determine the values

We can see from the diagram that the two triangles are of equal lengths.

To determine the value of the variables, we have to note that;

In triangle QRS, the adjacent sides is y + 20

In triangle VX, the adjacent side is y = 31

Now, equate the values

y + 20 = 31

collect like terms

y = 31 -20

y = 11

Also, the hypotenuse sides are equivalent, then

y + 3z + 28 = 6y + z - 5

collect the like terms

y - 6y + 3z - z = -5 - 28

add or subtract the values

-5y + 2z = -33

Substitute the values

2z = -33 + 55

2z = 22

z = 11

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f(x) = 2x - 1 g(x) = 7x + 8 find (gof) (x)

Answers

Answer:

(gof)(x) = 14x + 1

Step-by-step explanation:

We can think of (gof)(x) as g(f(x)).  Writing it in this form shows that we must start with the inner function and work our way to the outer function.

Essentially, the input of the inner function yields an output and the output becomes the input of the outer function.

f(x) means that the input is x and since we're given no value for x (e.g. x = so and so), the output is the original function or 2x - 1

Now, this output becomes the input for g(x):

g(2x-1) = 7(2x - 1) + 8

14x -7 + 8

(gof)(x) = 14x + 1


Given the following information, fill in the blanks.
x = 14.5, μ> 13, n = 50, o = 5.1 and a = 0.01
Round to TWO decimal places.
Critical Value: type your answer...
z-value: type your answer...
P-value: type your answer...
Reject or fail to reject? choose your answer...

Answers

Answer: 46

Step-by-step explanation: i took quiz i swear the answer is

what's the square root of 144​

Answers

[tex]\sqrt{144} =12\\12*12=144[/tex]

the square root is 14 because it’s like 10

If $14,000 is invested at 7% annual interest, which is compounded continuously, what is the account balance after 12 years, assuming no additional deposits or withdrawals are made?

Answers

the account balance after 12 years of continuous compounding at 7% annual interest, assuming no additional deposits or withdrawals are made, would be $32,447.44.

The formula for continuous compounding is:

A = P[tex]e^(rt)[/tex]

where:

A = the final amount

P = the principal amount (initial investment)

e = the mathematical constant approximately equal to 2.71828

r = the annual interest rate

t = the time in years

Plugging in the given values, we get:

A = 14000[tex]e^(0.0712)[/tex]

A = 14000*[tex]e^0.84[/tex]

A = 14000*2.31796

A = $32,447.44

Compound interest is a type of interest that is calculated not only on the initial principal amount, but also on the accumulated interest from previous periods. In other words, interest is added to the principal amount, and then interest is calculated on the new total amount.

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Can somebody find me a pencil to write please​

Answers

Try going to the store and they should be surprisingly cheap.

Answer: here it is.

Step-by-step explanation:

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Can you please explain the answer to 47.? Pleas help its science not math pleas and thank you very much I have to get this in by tomorrow. if your friend suddenly slumps over on the couch and appears to have entered the rem stage of sleep, which sleep disorder might she have 1 point question at position 8 a stockout occurs when customer orders for a product exceed the amount of inventory kept on hand. suppose specialty toys management decides to order 15,000 units. using the demand distribution calculated earlier, what is the probability of a stockout? use 4 decimal places. There are 3 questions please try to show work1.Batman started the month with $57 in his bank account and accidentally over spend his money, so he ended the month with -$42. How much money did Batman spend this month? Show all organized work.2. Barbie a scuba diving. Her position changes from -2.1 m ti -38.6 m in 5 minutes.b what is the average change in barbies position each minute? Show all organize work.3. Ms.Blue went on a diet. She stocked her meal plan and successfully lost 4 pounds every month what was the change in Ms.Blues weight after on year of dieting? (include the sign in your answer) which scenario demonstrates the concept of opportunism in a strategic alliance? multiple choice when the two companies formed a strategic alliance, they agreed to share all costs associated with sales and marketing. the kent corporation achieved a first-mover advantage in the strategic alliance with bristol corp. kent what concept posits that if there is a tie between actor a and actor b, a tie between actor b and actor c, then actor a will likely form a tie with actor c? xiao aims to get 8 hours of sleep per week night on monday night he slept for 6 1/2 hrs, on tuesday night 7 1/2 on wednesday night 5 3/4 and on thursday night 8 1/4 hours.a. state the difference between the amount of sleep he got and his goalb. after 4 nights, how much is xiao ahead or behind in his sleep goal? an example of an axis mundi that can carry messages to the spirit world and connect different planes of existence for indigenous american religions is: question 29 options: the barn the village the hogan the fire circle which of the following represents an example of an external incentive for value-neutral diversification? a. a company that is operating inefficiently and has an uncertain forecast b. a firm that has opportunities to transfer its capabilities to another profitable business area and spread its investment risk c. a company that has a predictable and steady revenue stream and is meeting its customers' needs efficiently d. an organization forced to pursue a new business unit because of changes in tax laws and regulations -3(4x-6)+2x=8-5x whats the answer to this question A rocket is launched from the top of a 90 foot cliff with an initial velocity of 160 feet per second. The height, h, of the rocket after t seconds is given by the equation h=-16t^2+160t+90. How long after the rocket is launched will it be 30 feet from the ground? Identify a type of mutation based on a description or a picture and predict the implications of the mutation. in many western countries, both men and women cook but women tend to cook the family dinner and restaurant chefs are more likely to be men than women. this an example of select one: a. sexual dimorphism. b. how sex influences behavior. c. how culture shapes gender roles. d. a biological division of labor. even though it is not the largest component of aggregate expenditure, investment is still vitally important for an economy for all of the following reasons except- It represents how many more machines and tools a country will have available for production.- It is the most volatile component of aggregate expenditure.- It represents the net change in a country's capital- It determines how much money will be be in savings accounts, stocks and bonds now values the drone at $400. Jeff wants to purchase a drone, and his willingness to pay is $900. Assume that Andy and Jeff agree on a price of $600 for the drone. Instructions: Enter your answers as whole numbers.a. What is the producer surplus? $b. What is the consumer surplus? $c. What is the combined consumer and producer surplus from this transaction? $ A pie can be cut into eight slices. What is the minimum number of pies you would need if you were to serve a slice of pie with each cup of hot chocolate in item 6? How many slices of pie would be left over? despite the inventory costs, service providers must maintain production capacity because of the importance of HELP ME WITH THIS PROJECT PLEASEEEE!!!! true or false: quantity supplied increases as price decreases, and economic profit is usually higher at lower product prices and output.