find the value of x in each figure (30 and 31)

(NEED TO KNOW ASAP!!)

Find The Value Of X In Each Figure (30 And 31)(NEED TO KNOW ASAP!!)

Answers

Answer 1

Answer:

30) x=124

31) x=72

Step-by-step explanation:

30 Explanation: The shape has a total of 720 degrees since it is a hexagon.   There are two right angles you can subtract 180 from the 720 which leaves you with 540.  You know with the rest of the information can combine the remaining angles and make the equation 4x+44=540.  You then get x=124.  

31 Explanation: here is a total of 540 degrees in the shape.  Since the angles are all congruent you 540/5=108.  Since you need x you need to do x+108=180.  This means x=72.  


Related Questions

Entrance ticket: 3x=17 Solve for 'x'

Answers

Answer:

5.667

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :  3*x-(17)=0

Solve  :    3x-17 = 0  

Add  17  to both sides of the equation :   3x = 17

                   

Divide both sides of the equation by 3: x = 17/3 = 5.667

So,  x = 17/3 = 5.667

                   

       

Answer:

17/3

Step-by-step explanation:

3x=17

x=17/3

use the scatter plot and the trend line to show answer a-c. Write an equation for the trend line. predict the value of y when x =21 Predict the value of x when y = 150

Answers

Answer:

See Explanation

Step-by-step explanation:

This question is incomplete, as the required scatter plot is not included in the question. I will answer your question with the attached plot.

Solving (a): The equation

Pick any \(two\)  \(points\)on the \(trend\) line

\((x_1,y_1) = (30,40)\)

\((x_2,y_2) = (80,70)\)

\(y = 0.6x + 22\)

Calculate the slope (m)

\(m = \frac{y_2 - y_1}{x_2 -x_1}\)

\(m = \frac{70 - 40}{80-30}\)

\(m = \frac{30}{50}\)

\(m = 0.6\)

The equation is then calculated as:

\(y = m(x - x_1) + y_1\)

This gives:

\(y = 0.6(x - 30) + 40\)

\(y = 0.6x - 18 + 40\)

\(y = 0.6x + 22\)

Solving (b): y, when \(x = 21\)

\(y = 0.6x + 22\)

Substitute \(x = 21\)

\(y = 0.6 * 21 + 22\)

\(y = 12.6 + 22\)

\(y = 34.6\)

Solving (c): x when \(y=150\)

\(y = 0.6x + 22\)

Substitute \(y=150\)

\(150 = 0.6x + 22\)

Collect like terms

\(0.6x = 150 -22\)

\(0.6x = 128\)

Solve for x

\(x = \frac{128}{0.6}\)

\(x = 213.3\)

use the scatter plot and the trend line to show answer a-c. Write an equation for the trend line. predict

A test score in the 3rd percentile would be considered ______. a. about average b. very high c. cannot be determined d. very low

Answers

Answer:

Very low, as it means that 97% of people scored the same or higher than you.

A groups of friends were working on a student film that had a budget of $1300 they used 43% of their budget on costumes. How much money did they spend on costumes

Answers

they spent $559 on costumes

A ____________________ allows us to examine how the probability distribution of a dependent variable,Y, might be related to one or more independent variables (collectively called X).
a) regression model
b) sampling distribution model
c) scatter plot model
d) confidence interval
e) hypothesis test
f) prediction interval

Answers

A regression model allows us to examine how the probability distribution of a dependent variable, Y, might be related to one or more independent variables (collectively called X). Therefore, the correct answer is (a) regression model.

A regression model is a statistical tool used to model the relationship between a dependent variable (often denoted as Y) and one or more independent variables (often denoted as X). It can help us understand how changes in the independent variables affect the values of the dependent variable, and can be used to make predictions or estimate values of the dependent variable based on specific values of the independent variables.

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Write your answer as a decimal

-8.1 / 0.5

Answers

Answer:

- 16.2

Step-by-step explanation:

You can just divide it XD

-8.1 ÷ 0.5

= - 16.2

solve for a side in right triangles

solve for a side in right triangles

Answers

Answer:

? =8.77

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opposite side/ hypotenuse

sin 20 = 3 / ?

? = 3/ sin 20

? = 8.7714132

To the nearest hundredth

? =8.77

Given the graph what is a,h,k

Given the graph what is a,h,k

Answers

We can answer this without knowing witch plots are witch

Please help me !! would appreciate

Please help me !! would appreciate

Answers

The answers that describe the quadrilateral DEFG area rectangle and parallelogram.

The correct answer choice is option A and B.

What is a quadrilateral?

A quadrilateral is a parallelogram, which has opposite sides that are congruent and parallel.

Quadrilateral DEFG

if line DE || FG,

line EF // GD,

DF = EG and

diagonals DF and EG are perpendicular,

then, the quadrilateral is a parallelogram

Hence, the quadrilateral DEFG is a rectangle and parallelogram.

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What is the value -134+53

Answers

Answer:

To find -134 + 53, add the ones place (4+3=7) and the tens place (5+3=8), giving you -81.

Answer: -81.

Answer:

-81

Step-by-step explanation:

You subtract the absolute values and take the sign of the larger absolute value.

Absolute value is the distance from zero.  This will be a positive number

134 - 53 = 81

The sign will be negative because the sign of the higher absolute value number is negative.  134 has a larger absolute value than 53 and it is negative, so our answer is negative.

Helping in the name of Jesus.

if two lines are parallel and one has a slope of -1/7, what is the slope of the other line?

Answers

-1/7, since parallel lines have equal slopes.

What is the minimum value of the function over the interval -5 < x < 5? h(x) = log[(x – 5)2 + 3]

Answers

The minimum value of the function h(x) = log[(x - 5)² + 3] over the interval -5 < x < 5 is approximately log[3.000001].

The minimum value of the function h(x) = log[(x - 5)² + 3] over the interval -5 < x < 5 can be found through the following.

Recognize that the logarithm function is increasing.

Minimize the argument of the logarithm, i.e., (x - 5)² + 3.

Observe that (x - 5)² is always non-negative since it is a square of a real number.

The minimum value of (x - 5)² occurs when x = 5 (in this case, (x - 5)² = 0).

However, x cannot be equal to 5 because the interval is -5 < x < 5.

Since the interval is open, find the minimum value for (x - 5)² in this interval, which occurs when x is as close to 5 as possible within the given interval. This would be x = 4.999.

Substitute this value of x into the function:

h(x) = log[(4.999 - 5)² + 3] = log[0.001² + 3] ≈ log[3.000001].

Hence, the minimum value of the function h(x) = log[(x - 5)² + 3] over the interval -5 < x < 5 is approximately log[3.000001].

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If the curveCis the top semicirclex 2+y 2=9from(3,0)to(−3,0), evaluate the line integral∫ C​(y−x)ds. (enter an integer or a fraction) Question 3 Calculate the work done by the force fieldF=⟨−x,y,z⟩along the pathr(t)=⟨cost,sint,4t⟩,0≤t≤ 2π​4π 22π 2+14π 2+12π 24π

Answers

With the help of integrals, ∫Cxy4ds, C it the right half of the circle x2+y2=16.

What are integrals?

Finding a function's anti-derivatives is made easier with the aid of integral calculus. The function's integrals are another name for these anti-derivatives.

Integration is the process of identifying a function's anti-derivative. Finding the integrals is the opposite of finding the derivatives. A family of curves is represented by a function's integral.

Integration is the process of obtaining f(x) from f'(x). When all the little data are combined, problems with displacement and motion, area and volume, and other issues develop.

Integrals assign numbers to functions in a way that describes these issues. We can determine the function f given the derivative f' of the function f. Here, the function f is referred to as integral of f' or antiderivative of f.

According to our question-

∫Cxy4ds, C it the right half of the circle x2+y2=16.

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How many hours of gaming a day is healthy?

Answers

Maximum two hours of gaming a day is healthy.

What is meaning of healthy?

Not just the absence of illness or infirmity, but also a complete condition of physical, mental, and social well-being, is what is meant by "health."

Additionally, twice as many parents of teen boys than teen girls report that their son plays video games daily. Teenage guys are also more likely to play video games for three or more hours.

The American Academy of Pediatrics advises limiting screen-based entertainment to no more than two hours each day. According to Radesky, parents should make a "media plan" that specifies how much time a kid can spend playing video games without having an impact on their behavior or their schoolwork.

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Write the additive inverse of 3/2

Answers

Answer:

1.5

Step-by-step explanation:

2/2=1 so 2/1=0.5 so answer is 1.5

Answer:

- \(\frac{3}{2}\)

Step-by-step explanation:

The additive inverse is the value that requires to be added to make the sum zero, that is

\(\frac{3}{2}\) - \(\frac{3}{2}\) = 0

The additive inverse is - \(\frac{3}{2}\)

It might be hard to see but please help me out!

It might be hard to see but please help me out!

Answers

Answer:

X: (-2)   (-1)    (0)      (1)      (2)

y: (5)     (4)    (5)      (8)     (13)

Step-by-step explanation:

╰(▔∀▔)╯   (─‿‿─)    (*^‿^*)    ヽ(o^ ^o)ノ    (✯◡✯)    (◕‿◕)    (*≧ω≦*)

if n(0) = 30 and λ = 1.20, what is the population size for year one?

Answers

Therefore, the population size for year one is approximately 75.199.

Assuming that this is a question about exponential growth, we can use the formula:

n(t) = n(0) * e^(λt)

where n(0) is the initial population size, λ is the growth rate, t is the time in years, and e is the base of the natural logarithm.

For year one, t = 1, so we have:

n(1) = 30 * e^(1.20*1) = 30 * e^1.20

Using a calculator, we get:

n(1) ≈ 75.199

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Problem Set 1.1 Problems 1-9 are about addition of vectors and linear combinations. 1 Describe geometrically (line, plane, or all of R3) all linear combinations of [0] [2] [6] [2] (a) 2 and 6 (b) and 2 (c) and 2 and 2 9] 1 137 13 [3] TL 2 Draw u and v+w and v- w in a single ry plane. 3 Draw v = ( 1 ) and w= [ 3 and w+ w and o- - Ifv + w = [] and v - w = [].compute and draw the vectors w and w. From v = [ { ] and w = [ 1 ]. Find the components of 30 + w and co + du. If v+w = compute and draw the vectors v and w. From u find the components of 30 + w and cv + dw.

Answers

The questions involve describing geometric interpretations of linear combinations, drawing vectors in a plane, computing and drawing vectors based on given conditions, and finding the components of specific vector operations.

To describe geometrically all linear combinations of [0], [2], [6], and [2]:

(a) The linear combinations of 2 and 6 span a line in R^3.

(b) The linear combinations of 2 and [2] span a plane in R^3.

(c) The linear combinations of [2], [2], and [9] span all of R^3.

Drawing u and v+w, v-w in a single 2D plane:

To draw these vectors, we first locate the initial point of each vector and then draw arrows from the initial point to the terminal point. The sum v+w is obtained by adding the corresponding components of v and w, while v-w is obtained by subtracting the components. The resulting vectors can be sketched in the plane.

Drawing v = [1] and w = [3] and computing other vector operations:

To draw the vectors v and w, we locate their initial points and draw arrows to the respective terminal points. Adding v and w gives [4], and subtracting w from v gives [-2]. To compute and draw the vectors 30+w and co+du, we add 30 to the components of w and multiply the components of u and d with the corresponding coefficients, respectively.

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What is 0.931 rounded to the nearest tenth?

Answers

Answer: 0.9

Step-by-step explanation:

Answer:

0.9 I think. Im only in 6th grade and i think thats the answer.

Solve the linear programming problem by the method of corners.

Maximize P = 5x − 6y

subject to: x + 3y ≤ 15

5x + y ≤ 19

x ≥ 0, y ≥ 0

The maximum is P = ______________ at (x, y) = (________________)

Answers

The maximum value of P is ______________ at the point (x, y) = (______________).

What is the maximum value of P and its corresponding point (x, y)?

To solve the linear programming problem using the method of corners, we need to examine the feasible region defined by the given constraints and identify the corner points. The objective is to maximize the objective function P = 5x - 6y.

The given constraints are:

1. x + 3y ≤ 15

2. 5x + y ≤ 19

3. x ≥ 0

4. y ≥ 0

We plot the feasible region by graphing the boundary lines defined by each constraint and shading the region that satisfies all the constraints.

Next, we evaluate the objective function at each corner point of the feasible region. The corner points are the vertices of the shaded region.

By substituting the coordinates of each corner point into the objective function P = 5x - 6y, we calculate the corresponding P-values.

The maximum value of P is the highest P-value obtained among all the corner points. Its corresponding point (x, y) represents the coordinates at which the maximum value occurs.

To provide the specific values for the maximum value of P and its corresponding point (x, y), the calculations need to be performed based on the corner points of the feasible region.

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The maximum value of P is 100, attained at the point (15, 30).

Convert the inequalities to equations:

Equation 1: x + 3y = 15

Equation 2: 5x + y = 19

Plot the graph of the feasible region determined by the constraints:

Start by plotting the lines corresponding to the equations.

Determine the feasible region by shading the area that satisfies the given constraints.

The feasible region is bounded by the x-axis, y-axis, and the lines x + 3y = 15 and 5x + y = 19.

Identify the corners of the feasible region:

The corners of the feasible region are the points of intersection between the lines forming the boundary.

In this case, we have three corners: (0, 5), (6, 3), and (15, 30).

Evaluate the objective function P at each corner:

P(0, 5) = 5(0) - 6(5) = -30

P(6, 3) = 5(6) - 6(3) = 12

P(15, 30) = 5(15) - 6(30) = 100

Determine the maximum value of P:

The maximum value of P is 100, which occurs at the point (15, 30).

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Which pair of times has the longest elapsed time between the two times?

9:10 p.m. to 1:55 a.m.
10:15 a.m. to 3:25 p.m.
2:45 p.m. to 7:45 p.m.
1:05 p.m. to 6:10 p.m.

Answers

Answer:

B - 10:15 a.m. to 3:25 p.m.

Step-by-step explanation:

9:10 p.m. to 1:55 a.m. - 4h 45m

10:15 a.m. to 3:25 p.m. - 5h 10m

2:45 p.m. to 7:45 p.m. - 5h

1:05 p.m. to 6:10 p.m. - 5h 5m

how is this scientific notation: 12,050,000 = 1.25×107 wrong

Answers

Answer:

1.205 x 10⁷

Step-by-step explanation:

What is the equation of this line in slope-intercept form?
(-1,5) (1,-1)

What is the equation of this line in slope-intercept form?(-1,5) (1,-1)

Answers

Answer:

y=-3x+2

Step-by-step explanation:

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

m=(-1-5)/(1-(-1))

m=-6/(1+1)

m=-6/2

m=-3

y-y1=m(x-x1)

y-5=-3(x-(-1))

y-5=-3(x+1)

y=-3(x+1)+5

y=-3x-3+5

y=-3x+2

Redfield, New York is one of the snowiest places in the United States, with an annual average snowfall of 22 feet. So far this year Redfield has received 105.6 inches of snow. What percentage of its average annual snowfall has fallen in Redfield so far?

Answers

Answer: 40 Percent

Step-by-step explanation:

105.6 Inches / 12 inches per feet = 8.8 Feet

8.8/22 annual = .4

.4 x 100 = 40 Percent

The percentage of its average annual snowfall has fallen in Redfield so far is 40 percent.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, Redfield receives an annual average snowfall of 22 feet.

We know that, 1 foot = 12 inches

Now, 22 feet = 22×12

= 264

This year Redfield has received 105.6 inches of snow.

Here, percentage = 105.6/264 ×100

= 0.4×100

= 40%

Therefore, so far Redfield has received 40% of snowfall.

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what are the factors of 6 that have a sum of 7

Answers

Answer:

\(factor \: of \: 6 \\ is \: 6 \\ \\ then \: having \: the \: sum \: 6 + 7 = 13 \: \\ \\ \\ \\ \\ \\ hence \: 13is \: answer\)

Answer:

I believe your answer is 6 and 1 because 6x1=66+1=7

Step-by-step explanation:

May I pls have a brainley

A cone has a volume of 5 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of? (1 point)

15 in3
20 in3
25 in3
30 in3

Answers

Answer:

15 in³

Step-by-step explanation:

For cone:

V = (1/3)πr²h

For cylinder:

V = πr²h

The formulas are the same except for the 1/3 fraction in the formula for the volume of a cone. Since the formula for the cylinder does not have the fraction 1/3, if a a cylinder and a cone have the same radius and height, then volume of the cylinder is 3 times greater than the volume of the cone.

5 cu in. * 3 = 15 in.³

Answer: 15 in.³

An inflatable ball can be modeled as a hollow sphere. Miguel
measures the outer diameter of the ball to be 50 cm. If the
material that makes up the ball has a thickness of 1.25 cm, find
the total volume of material that makes up the ball. Round your
answer to the nearest hundredth if necessary. (Note: diagram is
not drawn to scale.)

Answers

we can find the total volume of material that makes up the ball by subtracting the volume of the hollow space from the volume of the sphere:

V = 20,834 cm^3 - 19,848.44 cm^3

= 985.56 cm^3

what is volume?

Volume is a measure of the amount of space occupied by an object or a substance. It is typically measured in units such as cubic meters (m^3), cubic centimeters (cm^3), or cubic feet (ft^3).

What is diameter?

Diameter is a measure of the distance across the widest part of a circular object, such as a circle or a sphere. It is equal to twice the radius of the object and is typically measured in units such as millimeters (mm), centimeters (cm), or inches (in). It is a linear measurement.

To find the total volume of material that makes up the ball, we need to find the volume of the sphere and then subtract the volume of the hollow space in the center.

We can begin by calculating the volume of the sphere using the formula for the volume of a sphere:

V = (4/3) * pi * r^3

Where V is the volume, pi is approximately 3.14, and r is the radius of the sphere.

The outer diameter of the ball is 50 cm, so the radius of the sphere is (50/2) = 25 cm.

Substituting these values into the formula, we get:

V = (4/3) * 3.14 * (25 cm)^3

= (4/3) * 3.14 * 15,625 cm^3

= 20,834 cm^3

Next, we need to find the volume of the hollow space in the center of the ball, which is the same as the volume of a smaller sphere with a radius of (25 cm - 1.25 cm) = 23.75 cm.

So the volume of the hollow space is :

V = (4/3) * pi * (23.75 cm)^3

= (4/3) * 3.14 * (23.75 cm)^3

= 19,848.44 cm^3

Finally, we can find the total volume of material that makes up the ball by subtracting the volume of the hollow space from the volume of the sphere:

V = 20,834 cm^3 - 19,848.44 cm^3

= 985.56 cm^3

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PLEASE HELP!! I got the answer of -10/9 I'm not shure if its correct and how to get it because I used google...‍♀️​

PLEASE HELP!! I got the answer of -10/9 I'm not shure if its correct and how to get it because I used

Answers

Answer:

I think that X=1

Step-by-step explanation:

calculate the molecular weight of a gas with a density of 1.524 g/l at stp.

Answers

To calculate the molecular weight of a gas with a density of 1.524 g/l at STP, we can use the ideal gas law: PV = nRT. At STP, the pressure (P) is 1 atm, the volume (V) is 22.4 L/mol, and the temperature (T) is 273 K. The molecular weight of the gas with a density of 1.524 g/L at STP is approximately 32.0 g/mol.

Rearranging the equation, we get n = PV/RT.

Next, we can calculate the number of moles (n) of the gas using the given density of 1.524 g/l. We know that 1 mole of any gas at STP occupies 22.4 L, so the density can be converted to mass by multiplying by the molar mass (M) and dividing by the volume: density = (M*n)/V. Rearranging the equation, we get M = (density * V) / n.

Substituting the given values, we get n = (1 atm * 22.4 L/mol) / (0.0821 L*atm/mol*K * 273 K) = 1 mol. Then, M = (1.524 g/L * 22.4 L/mol) / 1 mol = 34.10 g/mol. Therefore, the molecular weight of the gas is 34.10 g/mol.


To calculate the molecular weight of a gas with a density of 1.524 g/L at STP, you can follow these steps:

1. Recall the ideal gas equation: PV = nRT

2. At STP (Standard Temperature and Pressure), the temperature (T) is 273.15 K and the pressure (P) is 1 atm (101.325 kPa).

3. Convert the density (given as 1.524 g/L) to mass per volume (m/V) by dividing it by the molar volume at STP (22.4 L/mol). This will give you the number of moles (n) per volume (V):

  n/V = (1.524 g/L) / (22.4 L/mol)

4. Calculate the molar mass (M) of the gas using the rearranged ideal gas equation, where R is the gas constant (8.314 J/mol K):

  M = (n/V) * (RT/P)

5. Substitute the values and solve for M:

  M = (1.524 g/L / 22.4 L/mol) * ((8.314 J/mol K * 273.15 K) / 101325 Pa)

6. Calculate the molecular weight of the gas:

  M ≈ 32.0 g/mol

Therefore, the molecular weight of the gas with a density of 1.524 g/L at STP is approximately 32.0 g/mol.

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Please help I'm struggling so bad right now

Please help I'm struggling so bad right now

Answers

Answer:

y = m x + b     is the standard form of a straight line

m = (y2 - y1) / (x2 - x1) = (10 - (-8)) / (-3 - 0) = 18 / -3 = -6

When x = 0 y = b from the equation for a line

y = - 8

So our equation is  

y = -6 x - 8

As a check let x = -2 then

y = (-6 * -2) - 8 = 12 - 8 = 4

Check on the graph to verify that this equation holds

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Which of the following developments occurred during the Paleolithic Age? Popular anger against Spain was ignited by:_____________a. the rising of Spanish rebels in Venezuela. b. their refusal to allow limited autonomy to Cuba. c. the destruction of the U.S. ship, the Maine.d. their insistence that deconcentration must continue indefinitely. People sometimes confuse schizophrenia with dissociative identity disorder (DID). Explain a significant characteristic that differentiates DID from schizophrenia. What is NOT a major purpose of orientation and socialization? Reducing stress and anxiety Reducing employee benefits Reducing start-up costs Reducing employee turnover last night at the club, you were talking to a girl named reina. today, you keep calling your best friend reina, even though her name is roselyn. this best illustrates Which of these factors may HR professionals use to evaluate salaries? -i. geography - ii. job position - iii. competitors - iv. market wages i. \& iv. ii. \& iv. ii., iii., \& iv. i., ii., \& iv. i., The distance versus time graph for Object A and Object B are shown. (3 points)Which object moves with changing speed?Only Object B, because the graph has straight linesOnly Object A, because the graph starts from the originBoth Object A and Object B, because the slope of the graph is the same throughoutBoth Object A and Object B, because different distances are traveled in the same time interval hello, if you can please help! Mercury Company has only one inventory pool. On December 31, 2021, Mercury adopted the dollar-value LIFO inventory method. The inventory on that date using the dollar-value LIFO method was $201,000. Inventory data are as follows:Year Ending Inventory at Year-End Costs Ending Inventory at Base Year Costs 2019 $260,400 $248,000 2020 347,300 302,000 2021 350,400 292,000 Required:Compute the inventory at December 31, 2019, 2020, and 2021, using the dollar-value LIFO method. Solve the following inequalities a) algebraically AND b) graphically.19) X2 - X - 6 > 020) x2-2x - 5 > 321) x2 - 4x < 0 Why are commission-based jobs and careers sometimes stressful? A. Commission-based workers arent allowed to join unions, so their working conditions vary. B. Commission-based workers have to pay extra money for union dues. C. People in these jobs dont always know how much they will make from month to month. D. People in these jobs have to use management skills that arent needed in other jobs. the first nomads who occupied central asia came from the northern grasslands of present day: select one: uzbekistan armenia tajikistan kyrgyzstan Simplify the expression |-0.8 10| Q varies as e if q is 24 when e is 3 find q when e is 7 Mr Pritchard is racing his pinewood derby car down a ramp as shown in the diagram below. 1. Car resting at the top of the ramp (very top)2.Car increasing speed (going down)3. Car decreasing speed (at the bottom)4. Car stops (off of the ramp)At which points during the cars run down the ramp is an unbalanced force acting on the car? Max owns a car. With probability 0.1 she gets into an accident and is left with $2500 (net). If she doesn't have an accident she is left with $10, 000. Her value of money when there is an accident is u(x) = x0.5 and when she is safe it is u(x) = 10x0.5. She is offered insurance at the rate of $0.2 per $1 of benefit paid our when she has an accident. (a) What is her MRS? (b) What is her OC of an extra dollar in the accident state? (c) What is her risk premium? (d) What is the maximum insurance premium she is willing to pay to eliminate risk? (e) Is the insurance she is offered fair? (f) How much insurance does she choose to buy? a company has successfully implemented lean practices in their three station process. the stations are, in order, station a, station b, and station c and product moves from a to b to c smoothly. one day, the equipment at station b experiences catastrophic failure. what happens and what is the appropriate response for a lean-thinking company? The sum of three consecutive odd numbers is 987. Find the numbers. Suppose a consumer's preferences can be represented by the utility function U(X,Y)= Min (2X,Y). Also, suppose the consumer has $300 to spend and the price of Good X is PX = $2 and the price of Good Y is PY = $5. If the consumer maximizes their utility subject to their budget constraint, how much of Good X and how much of Good Y will the consumer purchase? X* = Y* = 8 y - yhow do you simplify