Point, P(0.37.4), lies at the intersection of the terminal arm of an angle in standard position and the unit circle [/6) a Determine the missing coordinate, to the nearest hundredth

Answers

Answer 1

To determine the missing coordinate of the point P(0.37, 4), we can use the information that the point lies on the terminal arm of an angle in standard position and the unit circle.

The unit circle has a radius of 1, so the distance from the origin (0,0) to any point on the unit circle is always 1. Using the Pythagorean theorem, we can find the missing coordinate: x^2 + y^2 = 1^2

Substituting the given values:

(0.37)^2 + 4^2 = 1

0.1369 + 16 = 1

16.1369 = 1

Subtracting 16 from both sides: 0.1369 = -15

This is not a valid equation, so there seems to be an error in the given coordinates of point P(0.37, 4). Please double-check the values provided for the point.

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Related Questions

rewrite the following radical expression in rational exponent form.
(underroot x)5

Answers

The given radical expression is (√x)^5. To rewrite it in rational exponent form, we need to express the square root (√) as a fractional exponent.

The square root (√) of x can be written as x^(1/2).

To raise x^(1/2) to the power of 5, we can multiply the exponents: (x^(1/2))^5 = x^(5/2).

Therefore, the radical expression (√x)^5 can be rewritten as x^(5/2) in rational exponent form.

In summary, (√x)^5 is equivalent to x^(5/2) in rational exponent form.

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constraints aregroup of answer choicesquantities to be minimized in a linear programming model.restrictions that limit the settings of the decision variables.input variables that can be controlled during optimization.quantities to be maximized in a linear programming model.

Answers

Constraints are restrictions that limit the settings of the decision variables in a linear programming model.

Constraints in a linear programming model are restrictions that limit the settings of the decision variables, which are input variables that can be controlled during optimization.

These decision variables are often defined by specific quantities to be maximized or minimized in the model.

Therefore, constraints are a group of answer choices or restrictions that must be considered when developing a mathematical model to optimize certain variables or quantities.

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What is the CIV of each of the customers? Amber Jung Joe Ashley Lauren Maria Jose Customer Amber Ashley Joe Lauren Jung Maria Jose CLV 10 20 10 25 10 15 CIV Hint. CIVAshley = [CLVMaria + 0.5CLV Josel + [CIVMaria + 0.5CIV Josel 20

Answers

The CIV of each customer is:
- Amber: 20 - Ashley: 20 - Joe: 20 - Lauren: 30 - Jung: 20 - Maria: 30 - Jose: 30

To calculate the CIV (customer lifetime value) of each customer, we can use the formula provided in the hint for Ashley and then apply the same formula for the rest of the customers:

CIVAshley = [CLVMaria + 0.5CLVJose] + [CIVMaria + 0.5CIVJose]

Plugging in the values given in the table:
CIVAshley = [10 + 0.5(15)] + [10 + 0.5(10)] = 20

Therefore, the CIV of Ashley is 20.

Using the same formula for the other customers:
CIVAmber = [10 + 0.5(15)] + [10 + 0.5(10)] = 20
CIVJoe = [10 + 0.5(15)] + [10 + 0.5(10)] = 20
CIVLauren = [25 + 0.5(10)] + [10 + 0.5(15)] = 30
CIVJung = [10 + 0.5(15)] + [10 + 0.5(10)] = 20
CIVMaria = [10 + 0.5(15)] + [20 + 0.5(10)] = 30
CIVJose = [10 + 0.5(15)] + [20 + 0.5(10)] = 30

Therefore, the CIV of each customer is:
- Amber: 20
- Ashley: 20
- Joe: 20
- Lauren: 30
- Jung: 20
- Maria: 30
- Jose: 30

Note that the CIV represents the total value a customer is expected to bring to a company over the course of their relationship, taking into account the frequency and monetary value of their purchases.

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Triangle abc is a right triangle and cos(22.6o)=b/13. solve for b and round to the nearest whole number.

Answers

According to the given statement , the value of "b" in the equation cos(22.6°) = b/13 is approximately 12.

To solve for "b" in the equation cos(22.6°) = b/13, we can use trigonometric functions.

Step 1:

Rewrite the equation as cos(22.6°) = b/13.

Step 2:

Multiply both sides of the equation by 13 to isolate "b". This gives us:

b = 13 * cos(22.6°).

Step 3:

Use a calculator to find the cosine of 22.6°. The value of cos(22.6°) is approximately 0.9239.

Step 4:

Substitute this value back into the equation to find "b". b = 13 * 0.9239.

Step 5:

Calculate the value of "b" by multiplying 13 by 0.9239. The result is approximately 11.999.

Step 6:

Round the value of "b" to the nearest whole number. Since 11.999 is closer to 12, we round up to 12.

Therefore, the value of "b" in the equation cos(22.6°) = b/13 is approximately 12.

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NUMBER SYSTEMS 1.1. Given the following number system with all of its symbols as follow: \( \{0,1,2,3,4,5 \) and 6\( \} \). 1.1.1. In what base is this number system 1.1.2. Carry out the following add

Answers

1.1.1. The base of the given number system is 6. 1.1.2. To carry out addition in this number system, perform the addition operation using the given symbols.

1.1.1. The base of a number system determines the number of unique symbols used to represent values. In this case, the given number system uses the symbols 0, 1, 2, 3, 4, 5, and 6, indicating that it is a base-6 number system.

1.1.2. To perform addition in this number system, follow the usual addition rules, but with the given symbols. Start by adding the rightmost digits, and if the sum exceeds 6, subtract the base (6) and carry over the extra value to the next place value. Repeat this process for each digit, including any carryovers.

For example, if we want to add 35 and 41 in this number system, we start by adding the rightmost digits: 5 + 1 = 6. Since 6 is equal to the base, we write 0 in the sum and carry over 1. Moving to the left, we add the next digits: 3 + 4 + 1 (carryover) = 0 (carryover 1). Finally, we add the leftmost digits: 1 + 0 (carryover) = 1. Thus, the result is 106 in this base-6 number system.

It is important to note that when the sum reaches or exceeds the base (6 in this case), we subtract the base and carry over the excess value.

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and this math work too!? my life depends on it please help

and this math work too!? my life depends on it please help

Answers

The side lengths of triangle ABC that are missing such as BC and AB would be = 4 and 5.7 respectively.

How to calculate the missing lengths of the given triangle?

To calculate the missing lengths of the triangle ABC, the sine rule must be obeyed. That is;

a/sinA = b / sinB

Where a = line BC = ?

A = 45°

b = line AC = 4

B = 180-(90+45) = 45°

That is;

a/sin45° = 4/sin45°

Make a the subject of formula;

a = 4.

Using Pythagorean formula;

c² = a²+b²

= 4²+4²

= 16+16 = 32

c = √32

= 5.7

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Sarah purchased 8kg of sugar, 10kg of
flour, 500g of cocoa, 225g of pecans,
and 275g of coconut. How much do all
her groceries weigh in kilograms?

Answers

The total weight is 18.5 kilograms

if a watch was sold for RS 1656 after allowing 10% discount on the market price and adding 15% VAT ,find the discount amount​

Answers

the discount amount is RS 160.

define discount

A discount is a reduction in the price of a product or service that is offered by a seller to a buyer. The discount may be a percentage of the original price or a specific amount of money.

Let the market price of the watch be x.

After allowing a 10% discount, the selling price becomes 0.9x.

Then, adding 15% VAT, the final selling price is:

0.9x + 0.15(0.9x) = 1.035x

We know that the final selling price is RS 1656, so we can set up an equation:

1.035x = 1656

Solving for x, we get:

x = 1600

Therefore, the market price of the watch was RS 1600.

The discount amount is the difference between the market price and the discounted selling price:

Discount amount = Market price - Discounted selling price

= 1600 - 0.9x

= 1600 - 0.9(1600)

= 1600 - 1440

= 160

So the discount amount is RS 160.

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Help plz due soon IDK what to do

Help plz due soon IDK what to do

Answers

how to find slope

its not that clear for me to solve but i can tell you how to solve and you fill the numbers in... sry

(x1,y1) (x2,y2) - find two different points

y2-y1/x2-x2=slope of the line

or

to find it you can do the rise divided by the run

im sry if this doesnt help :(

9514 1404 393

Answer:

  -2/3

Step-by-step explanation:

First, you find places where the graphed line crosses grid intersection points. One obvious choice is the point (0, 0), since the line goes through the origin. (Here, we wanted to avoid interference with our notations by the axis labels, so we chose points away from the origin.)

Then, you draw a right triangle with the two points you found as ends of the hypotenuse. Use grid lines for the legs of the triangle. For purposes of "rise" and "run", it is convenient to draw the triangle to the right of the graphed line.

The "rise" is the vertical distance between the grid crossings. In this graph, that is -2 units. The sign is negative because the right-most point is below the left-most point.

The "run" is the horizontal distance between grid crossings. In this graph, that is 3 units. If you have drawn the triangle to the right of the graphed line, that will be +3 units.

So, the slope is the ratio of "rise" to "run":

  m = rise/run = slope = -2/3

Help plz due soon IDK what to do

find the expectation value of the position squared when the particle in the box is in its third excited state. answer this question with the correct coefficient of l2 for the expectation value.

Answers

The expectation value of the position squared when the particle in the box is in its third excited state is equal to \(\frac{9l^2}{8}\), where l is the length of the box. This is equal to nine-eighths of the length of the box squared.

The expectation value of the position squared when the particle in the box is in its third excited state can be calculated using the formula\(\langle x^2 \rangle = \frac{l^2}{8} \left( 2n^2 + 6n + 3 \right)\),

where n is the quantum number of the state and l is the length of the box. Here, n is 3, so the expectation value is equal to

\(\frac{l^2}{8} \left( 2 \times 3^2 + 6 \times 3 + 3 \right) = \frac{9l^2}{8}\).

This can be written as nine-eighths of the length of the box squared.

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A retail shop is replacing their flooring with laminate wood. The floor plan is shown below. Determine the total square feet of laminate wood needed to complete the job.

A retail shop is replacing their flooring with laminate wood. The floor plan is shown below. Determine

Answers

Answer:  1075 square feet

===========================================================

Explanation:

As shown in the diagram below, I've drawn a blue horizontal line to split the figure into two rectangles (smaller one up top, larger down below).

The smaller rectangle up top is 25 ft by 8 ft, giving an area of 25*8 = 200 sq ft.

The larger rectangle down below is 35 ft by 25 ft so we have an area of 35*25 = 875 sq ft.

The total area is 200+875 = 1075 square feet

Notes:

We can write "square feet" as "sq ft" or as "ft^2" without quotes.The portion "5 ft", in the upper left corner, is never used.
A retail shop is replacing their flooring with laminate wood. The floor plan is shown below. Determine

answer asap!!! please

answer asap!!! please

Answers

Answer:

D.

Step-by-step explanation:

You can see it in the graphs after you plot it.

answer asap!!! please
answer asap!!! please

you can compare two marginal distributions to see if the corresponding two variables are related.truefalse

Answers

False. Comparing marginal distributions of two variables only gives information about each variable separately and not their relationship.

Comparing the marginal distributions of two variables only shows the distribution of each variable individually and not their relationship. For example, suppose we have two variables X and Y. If we compare the marginal distributions of X and Y separately, we may see that one variable has a higher frequency of a certain value than the other variable, but this does not necessarily imply that there is a relationship between the two variables. To determine whether there is a relationship, we need to look at the joint distribution of X and Y, which can be displayed in a scatterplot or analyzed using a correlation coefficient.

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You want to estimate, given 95% confidence, the population proportion of adults who think they should be saving more than they currently are. Your estimate must be accurate within 5% of the population proportion. a.) Find the minimum sample needed to attain this level of confidence.
340
367
385
375

Answers

To estimate the population proportion of adults with 95% confidence and an accuracy of within 5%, the minimum sample size needed can be determined using the formula for sample size calculation.

To calculate the minimum sample size, we can use the formula: n = (Z² * p * (1 - p)) / E², where n represents the sample size, Z is the z-value corresponding to the desired confidence level (95% confidence corresponds to a z-value of approximately 1.96), p is the estimated population proportion, and E is the desired margin of error (5% in this case, which can be expressed as 0.05).

Since the estimated population proportion is unknown, we can use the worst-case scenario assumption, which is 0.5. Plugging these values into the formula, we get:

n = (1.96² * 0.5 * (1 - 0.5)) / (0.05²) = 384.16

Since the sample size must be a whole number, we round up to the nearest whole number. Therefore, the minimum sample size needed to estimate the population proportion with 95% confidence and within 5% accuracy is 385.

By collecting a sample of at least 385 adults and conducting a survey or study, we can estimate the population proportion of adults who think they should be saving more with a 95% confidence level and a margin of error of within 5%.

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last one! Please help me !!

last one! Please help me !!

Answers

Answer:

1.) A      2.) B

Step-by-step explanation:

Formula: a^2+b^2=c^2

4^2+3^2=5^2

Proof:

4^2=16

3^2=9

9+16=25

5^2=25

A runner covers the last straight stretch of a race in 4 s. During that time, he speeds up from 5 m/s to 9 m/s. What is the runner’s acceleration in this part of the race?

Answers

Given,

Time taken to cover the last last straight stretch of a race = 4 seconds

He speeds up from 5 m/s to 9 m/s

To find,

The acceleration of the runner.

Solution,

We can simply solve this numerical problem by using the following process.

Here,

Initial velocity (u) = 5 m/s

Final velocity (v) = 9 m/s

Time (t) = 4 seconds

Acceleration (a) = ?

According to the formula of kinematics,

a = (v-u)/t

a = (9-5)/4 [By putting the given values.]

a = 4/4 = 1 m/s²

(We have used SI unit of the acceleration, because all the initial physical quantities are also in SI units.)

Hence, the acceleration is 1 m/s²

pa help po pls ASAP plssss​

pa help po pls ASAP plssss

Answers

On A type Fa,La,Do on B Type Mi,So,Ti

Answer!! Please. Will give brain.

Answer!! Please. Will give brain.

Answers

Answer:

58

Step-by-step explanation:

Just trust me on this. It has got to be 58.

50 points and brainliest

50 points and brainliest
50 points and brainliest

Answers

Answer:

Correct

Step-by-step explanation:

That is correct, because $55m is just 55 per member like the chart shows,

1 × 5 = 55

2 × 55 = 110

and

3 × 55 = 165

So, correct.

:)

Answer:

correct

Step-by-step explanation:

That is correct, because $55m is just 55 per member like the chart shows,

1 × 5 = 55

2 × 55 = 110

and

3 × 55 = 165

So, correct.

Find an equation for the surface obtained by rotating the line x = 4y about the x-axis.

Answers

The equation: \(\frac{x^{2}}{6^{2}}={y^{2}+z^{2}\),  represents a circle with radius r = y = x/6, and the surface that results is a cone, as obtained with the help of surface of revolution.

What is surface of revolution?A surface created by rotating a two-dimensional curve about an axis is known as a surface of revolution. As a result, the final surface is always symmetric along the azimuth.

Now,

If we consider the point (6y, y, 0) in the xy plane, it appears to be a circular path that is a cone when the curve is rotated about the x axis. The cone's equation takes the following form:

\(\frac{x^{2}}{c^{2}}=\frac{y^{2}}{a^{2}}+\frac{z^{2}}{b^{2}}\)

Given that x = 6y, we square x = 6y to give the equation the form shown above, which results in:

x² = (6y)²

x² = 36y²

Circular paths go parallel to the y-axis, hence the equation should be circular in nature. 36z² needs to be added, so:

x² = 36y² + 36z²

=> \(\frac{x^{2}}{6^{2}}={y^{2}+z^{2}\)

Hence, This equation represents a circle with radius r = y = x/6, and the surface that results is a cone, as obtained with the help of surface of revolution.

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james scored 182 points while playing a video game. he scored 7 times as many points as jada scored.how many points did jada score?

Answers

The points jada score is 159.25.

Given that james scored 182 points while playing a video game and he scored 7 times as many points as jada scored.

Let x be the points scored by james and y be the points scored by jada.

The total points scored by james and jada is 182 points.

x+y=182    .....(1)

James scored 7 times many points as jada scored.

y=7x         .....(2)

So, there are two equations and two unkowns.

Firstly, we will substitute equation (2) in equation (1), we get

x+7x=182

8x=182

Divide both sides by 8, we get

8x/8=182/8

x=22.75

Further, we will substitute the value of x in equation (2), we get

y=7×22.75

y=159.25

Hence, the jada score 159.25 when james scored 182 points while playing a video game and ahe scored 7 times as many points as jada scored.

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PQ= RQ and PS= RS a=?

PQ= RQ and PS= RS a=?

Answers

The measure of angle a is 15 degrees and this can be determined by using the properties of the isosceles triangle.

What are interior angles?

In geometry, interior angles are formed in two ways. One is inside a polygon, and the other is when parallel lines cut by a transversal. Angles are categorized into different types based on their measurements.

Given:

The length of the segment PQ is equal to the length of the segment RQ.The length of the segment PS is equal to the length of the segment RS.

The following steps can be used in order to determine the measure of angle a:

Step 1 - According to the given data, it can be concluded that triangle PQR and triangle PSR are isosceles triangles.

Step 2 - Apply the sum of interior angle property on triangle PQR.

\(\angle\text{Q}+\angle\text{P}+\angle\text{R}=180\)

\(\angle\text{Q}+2\angle\text{R}=180\)

\(2\angle\text{R}=180-60\)

\(\angle\text{R}=60^\circ\)

Step 3 - Now, apply the sum of interior angle property on triangle PSR.

\(\angle\text{P}+\angle\text{S}+\angle\text{R}=180\)

\(\angle\text{S}+2\angle\text{R}=180\)

\(2\angle\text{R}=180-90\)

\(\angle\text{R}=45^\circ\)

Step 4 - Now, the measure of angle a is calculated as:

\(\angle\text{a}=60-45\)

\(\angle\text{a}=15\)

The measure of angle a is 15 degrees.

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7. If g(x) = -6x + 5 and h(x) = -9x - 11, find (goh)(x).​

Answers

The 'o' notation means function composition. In this case
(g o h)(x) = g(h(x))

The inner function h(x) goes first. Replace x with 25 and simplify to get
h(x) = sqrt(x)
h(25) = sqrt(25)
h(25) = 5

Therefore,
(g o h)(25) = g(h(25)) = g(5)

Now we compute g(5)

g(x) = x-3
g(5) = 5-3
g(5) = 2

x+y=3
x^2+y^2=17
Solve the simultaneous equations

Answers

The possible solution set for the system is (- 1, 4) and (4, - 1).

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given are the equations as -

x + y = 3

x² + y² = 17

Refer to the graph of the function attached. The points of intersection represents the possible solution set.

Therefore, the possible solution set for the system is (- 1, 4) and (4, - 1).

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x+y=3x^2+y^2=17Solve the simultaneous equations

Given the domain {-3, 0, 6}, what is the range for the relation 2x + y = 3?

Answers

Therefore, the range of the relation 2x + y = 3 for the given domain {-3, 0, 6} is {9, 3, -9}.

To determine the range of the relation 2x + y = 3 for the given domain {-3, 0, 6}, we need to find the corresponding range values when we substitute each value from the domain into the equation.

Substituting -3 into the equation, we have 2(-3) + y = 3, which simplifies to -6 + y = 3. Solving for y, we get y = 9.

Substituting 0 into the equation, we have 2(0) + y = 3, which simplifies to y = 3.

Substituting 6 into the equation, we have 2(6) + y = 3, which simplifies to 12 + y = 3. Solving for y, we get y = -9.

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raul has a website for sports fans. he wants to track the number of new and returning visitors to his site. what can he use to find this information?

Answers

To track the number of new and returning visitors to his sports website, Raul can use web analytics tools.

As a website owner, it is important to track the number of visitors that come to your site. This can help you determine the success of your website and identify areas where you may need to improve. In the case of Raul's sports website, he wants to track both the number of new and returning visitors.

To track this information, Raul can use web analytics tools. These tools can track a variety of metrics, including the number of visitors, the time visitors spend on the site, and the pages they visit. Specifically, Raul can use a tool that provides information about unique visitors versus returning visitors.

Unique visitors refer to the number of people who have visited the website for the first time, while returning visitors refer to those who have visited the website before.

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Which expression is equivalent to 4sin2(x) – 8sin2(StartFraction x Over 2 EndFraction)?

Answers

Answer:

A

Step-by-step explanation:

did it on edge

Answer:

A. 4(cos(x)-cos^2(x))

Step-by-step explanation:

Did the quiz on edge

A ramp is elevated to a height of 7 inches from the base. The horizontal distance between the lower end of the ramp and the base is 19 inches, as shown in the figure. What is the length of the ramp?

Answers

The length of the ramp is \(\sqrt{410}\) inches.

According to the question,

We have the following information:

A ramp is elevated to a height of 7 inches from the base. The horizontal distance between the lower end of the ramp and the base is 19 inches.

So, it will be a right-angled triangle.

Now, we can use Pythagoras theorem to find the length of the ramp which is the hypotenuse of the triangle.

Let's denote the length of the ramp to be l, elevated height to be p and horizontal distance to be b.

\(l^{2} =p^{2} +b^{2}\)

\(l^{2} =7^{2} +19^{2}\)

\(l^{2}\) = 49+361

\(l^{2}\) = 410

l = \(\sqrt{410}\) inches

Hence, the length of the ramp is \(\sqrt{410}\) inches.

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find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 15 4x − x2, [0, 5]

Answers

The absolute maximum value of f on the interval [0, 5] is 15.

The absolute minimum value of f on the interval [0, 5] is 5.

To find the absolute maximum and absolute minimum values of f on the given interval:

We need to evaluate f(x) at the endpoints of the interval and at any critical points within the interval.
First, we find the derivative of f(x):
f'(x) = 15 - 2x
Then, we set f'(x) = 0 and solve for x:
15 - 2x = 0
x = 7.5
However, 7.5 is not within the interval [0, 5], so we do not have any critical points within the interval.
Next, we evaluate f(x) at the endpoints of the interval:
f(0) = 15
f(5) = 5
Therefore, The absolute maximum value of f on the interval [0, 5] is 15 and the absolute minimum value of f on the interval [0, 5] is 5.

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If a star is 17 light-years away, how long does the light from the star take to reach earth?.

Answers

Answer:

17 years

Step-by-step explanation:

a light year is a measurement of distance where each light year is equal to the distance light would travel in a year

Other Questions
a team at jamison, inc., an advertising agency, is working on a new advertisement for a nutrition bar. the head of the team, luka, suggests that the advertisement should target primarily the rich. the team thinks this is a bad idea because the manufacturers are targeting a young market, and young people are unlikely to be rich. however, because of luka's argumentative nature, the team goes along with him, which results in the creation of an advertisement that the client rejects. which of the following is demonstrated in this scenario?A. with drawingB. blocking group C. facilitation groupD. think consensus A straight tunnel is to be dug through a hill. Two people stand on opposite sides of the hill where the tunnel entrances are to be located. Both can see a stake located 545 meters from the first person and 725 meters from the second. The angle determined by the two people and the stake (vertex) is 68. How long must the tunnel be? (Round your answer to one decimal place.)_____________meters If sin(A+B)=sinAcosB+cosAsinB and cos(AB)=cosAcosB+sinAsinB, find the values of (i) sin75 and (ii) cos15 which of the following correctly relates the measures of the diameter (d) and radius (r) of a circle (a)A Chinese restaurant offers 10 different lunch specials. Each weekday for one week, Fiona goes to the restaurant and selects a lunch special. How many different ways are there for her to select her lunches for the week? Note that which lunch she orders on which day matters, so the following two selections are considered different.One possible selection:Mon: Kung pao chickenTues: Beef with broccoliWed: Kung pao chickenThurs: Moo shu porkFri: Beef with broccoliA different selection:Mon: Beef with broccoliTues: Kung pao chickenWed: Kung pao chickenThurs: Moo shu porkFri: Beef with broccoli(b)Now suppose that in addition to selecting her main course, she also selects between water or tea for her drink. How many ways are there for her to select her lunches? Carol Gilligan criticized her mentor Kohlberg's theory of moral reasoning because she felt there were clear differences a) between the moral behavior of people depending on their cultural background. b) between moral behavior of the young and the old. c) between the moral responses of men and women. d) between moral behavior of those with high IQs and those with low IQs. Sonya delivered a speech to her managers about some new technologies that she thought could make her team more efficient. After she finished her speech, she was out of breath and realized that she hadn't even paused to take a real breath when she was speaking. Nevertheless, she felt that she did a good job following her speech outline. Although they were paying close attention during the speech, the managers seemed confused about how the ideas she presented fit into the company's business model, and asked Sonya several questions. Which of the following would be a factor most likely to have been the problem with Sonya's speech?A. She spoke too quietly.B. Her speech lacked inflection.C. She spoke too loudly.D. She spoke too quickly. Write as a single logarithm: a) 3loga + 2log blog2 c b) In x + 3 ln y c) 2 log3 a + log3 (a-3) - log3 (a-9) Review condensing logarithmic expressions here. You are in the middle of a project in a company that designs and manufactures precision testing equipment. The procurement officer refuses the deliverable, stating it does not meet the requirement on page 259 of the technical specifications of the contract signed with the supplier. You review the document and find that you agree. What is the best thing to do?a) Inform the supplier that they failed and must refundb) Explain that the contract is wrong and should be changed.c) Arrange for a meeting with the supplier to discuss and find a way forwardd) All of the above Describe how delta can be thought of as the probability that anoption expires in the money. Write an equation for the n' term of the geometric sequence 5, 10, 20......., Suppose a single trial experiment results in one of three mutually exclusive events, A, B, or C. It is known that P(A) = 0.3, P(B) = 0.6, and P(C) = 0.1. Find the probability P(ANC) Answer: Question 2 Not yet answered Points out of 2.00 P Flag question Refer to the previous question. Find the probability P(AUB). Answer: Peptidoglycan is present in the cell walls of which of the following groups of organisms? you can select more than one if more than one applies)-plants -archaea-protists-eubacteria Studies show that the minimum half-life of Norepinephrine is 2 minutes. Use the following to construct a function that will model the minimum amount of Norepinephrine left in the body after an initial dose of 50 mg. Q(t) = Pe" Where Q(t) describes the amount of Norepinephrine left in the body after t hours following an initial dose of P mg 1.Q(t)- 2. How long (in hours) will it take for the amount of Norepinephrine left in the body to reach 5 mg? Note: You can earn partial credit on this problem. According to the theory covered in class, the profitability of insurance against uncertain outcomes will depend on (select all that apply):a.The degree of risk aversion of the individuals.b.The amount of wealth of individuals.c.The number of insurees.d.The number of insurance companies in the market. Use context to determine the meaning of the word unabated as it is used in Narrative of the Life of Frederick Douglass, An American Slave. Write your definition of unabated here and tell how you found it. After graduating from college in 2010, Art Major\'s starting salary is $45757.00. Suppose Art Major has a cost of living adjustment (COLA) clause, i.e. an escalator clause in his labor contract so that he will be able to maintain this same level of purchasing power in real terms in 2011 and 2012. Using the information in the table below, how much will Art Major be earning in 2011 and 2012 if his salary keeps up with inflation? Round your answers to the nearest dollar.Year 2010 101.57Year 2011 104.90Year 2012 108.04What is Art's Salary in 2011? 2012? find an equation of the curve that passes through the point (0, 1) and whose slope at (x, y) is 13xy. Under the first constitution of the United States, the national government had NO power to negotiate treatiesestablish territoriesmake lawsprint a common currency Discuss the proposition that 'Unemployment is the mechanism that reconciles the wage demands of workers with the profit margins desired by firms. The greater the monopolypower of either firms or workers, the higher the unemployment rate'.