If mArc R V = mArc V U , what is mArc V U ? 47° 52° 64° 87°hat is mArc S T?

Answers

Answer 1

Answer:

The answer is below

Step-by-step explanation:

In circle O, RT and SU are diameters. Circle O is shown. Line segments S U and R T are diameters. Line segment O V is a radius. Point V is between points R and U. Angle S O R is (13 x) degrees and angle T O U is (15 x minus 8) degrees. If mArc R V = mArc V U , what is mArc V U ? 47° 52° 64°  87°

Given that:

mArc R V = mArc V U, Angle S O R = 13 x degrees and angle T O U = 15 x - 8 degrees

∠SOR = ∠TOU  (Vertically opposite angles are equal). Therefore:

13 x = 15x - 8

solving by calculating the value of x to satisfy the equation: Subtracting 13x from both sides

13x - 13x = 15x - 8 - 13x

0 = 15x - 13x - 8

2x - 8 = 0

Adding 8 to both sides:

2x - 8 + 8 = 0 + 8

2x = 8

2x/2 = 8/2  

x = 4

∠SOR = 13x = 13(4) = 52°

∠TOU = 15x - 8 = 15(4) - 8 = 60 - 8 = 52°

Let a = mArc R V = mArc V U

Therefore:

mArc R V + mArc V U + ∠TOU = 180 (sum of angles on a straight line)

Substituting:

a + a + 52 = 180

2a = 180-52

2a = 128

a = 128/2

a= 64°

mArc R V = mArc V U = 64°

Answer 2

Answer:

C) 64 degrees

Step-by-step explanation:

just took the test on edg2020


Related Questions

Gwen is travelling to another country. She flies for 3 hours at an average speed of 625 km/h on one plane. She then flies for 4 hours 15 minutes at an average speed of 880 km/h on a second plane. What is the total distance, in km, she travelled by plane?

Answers

Answer:

5,615 km.

Step-by-step explanation:

The first flight, she traveled for 3 hours at a speed of 625 km/h.

[tex]\frac{625}{1} =\frac{x}{3}[/tex]

x = 625 * 3

x = 1,875.

The first flight, she traveled 1,875 km.

The second flight, she traveled for 4.25 hours at a speed of 880 km/h.

[tex]\frac{880}{1} =\frac{x}{4.25}[/tex]

x = 880 * 4.25

x = 3,740.

The second flight, she traveled 3,740 km.

So, in total, she traveled 1875 + 3740 = 5,615 kilometres.

Hope this helps!

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A Rosa le gusta jugar con su primo Eduardo utilizando números. Rosa le planteó encontrar dos números que sumados den 15 y que el doble de uno de ellos sea igual al otro más 3 unidades, ¿De qué números se trata?

Answers

Answer:

Los números son 6 y 9

Step-by-step explanation:

Este problema se puede resolver por medio de un sistema de ecuaciones.

El primer número será x y el segundo número será y.

Sabemos que los dos números suman 15, por lo tanto esto se puede escribir como:

[tex]x+y=15[/tex]

Por otro lado sabemos que el doble de uno de ellos es igual al otro más 3 unidades, esto lo podemos escribir de la siguiente manera:

[tex]2x=y+3[/tex] (el doble del primero es igual al segundo más 3)

Reescribiendo esta segunda ecuación tenemos:

[tex]2x-y=3[/tex]

Por lo tanto, nuestras dos ecuaciones son:

[tex]x+y=15\\2x-y=3[/tex]

Resolviendo el sistema por el método de reducción observamos que, si sumamos ambas ecuaciones, las y se cancelan y quedamos con:

[tex]3x=18\\x=6[/tex]

Ahora, sustituimos este valor en la primera ecuación para obtener el valor de y:

[tex]x+y=15\\6+y=15\\y=15-6\\y=9[/tex]

Por lo tanto, los números son 6 y 9

Por medio de un sistema de ecuaciones, hay qué los números son 6 y 9.

Los números son desconocidos, por lo tanto, llaremos un de x, otro de y.

Los números sumados den 15, o sea:

[tex]x + y = 15[/tex]

El doble de uno de ellos sea igual al otro más 3 unidades, o sea:

[tex]2x = y + 3[/tex]

[tex]y = 2x - 3[/tex]

Reemplazando en la primera ecuación:

[tex]x + y = 15[/tex]

[tex]x + 2x - 3 = 15[/tex]

[tex]3x = 18[/tex]

[tex]x = \frac{18}{3}[/tex]

[tex]x = 6[/tex]

[tex]y = 2x - 3 = 2(6) - 3 = 12 - 3 = 9[/tex]

Los números son 6 y 9.

Un problema similar es dado en https://brainly.com/question/24646137

ANSWER


Find the scale factor of the dilation shown in the diagram. 1/2 1/3 2 3

Answers

The scale factor of the dilation shown in the diagram 2.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

The image and pre image are shown in figure.

Now, We know that;

The basic formula to find the scale factor of a dilated figure is,

⇒ Scale factor = Dimension of the new shape ÷ Dimension of the original shape.

Substitute the given values, we get;

⇒ Scale factor = 6 / 3

⇒ Scale factor = 2

Thus, The scale factor of the dilation shown in the diagram 2.

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ1

Answer:1/2

Step-by-step explanation:

got it right on edge

A professional football prospect runs 40 yards dash in 5 seconds. What is the player's average speed over this distance

Answers

Answer:

average speed = 8y/s

Step-by-step explanation:

What is the player's average speed over this distance ?

Formula

s = d/t

d = 40 yards

t = 5 seconds

s = 40y/5s

= 8y/s

explain how to solve 2x+9=15

Answers

Answer:

I hope it will help you :)

If the number of bacteria in a colony doubles every 10 hours and there is currently a population of 300 bacteria, what will the population be 20 hours from now?

Answers

Answer:

1200 bacteria

Step-by-step explanation:

20 hours divided by 10 hours = 2, so it will be doubled two times.

300 times 2 for the first doubling = 600

600 times 2 for the second doubling = 1200

PLS HELP ASAP The following probability distribution table shows information collected from a survey of students regarding their grade level and the transportation they use to arrive at school. What is the probability that a randomly selected eighth grader takes the bus?

Answers

Answer:

44%

Step-by-step explanation:

For these types of problems, look at the totals. We know that there are 0.44 out of 1 eighth graders. Since it doesn't specify how the 8th grader is dropped off, we take 0.44 and divide it by 1 (the total). We get 0.44, but since it's most likely asking for percentages, multiply that by 100.

in the function equation ff (xx ) = 1500 (1.43)^xx, is it growth or decay? what is the percent of the growth/decay? what is the initial value?

Answers

Answer:

The initial value is 1500

growth

43 % growth

Step-by-step explanation:

Exponential equations are in the form

y = a * b^x

a is the initial value

b is the growth or decay

b>1 is growth b-1 rate  of growth

b <1 decay  1-b rate of decay

f(x) = 1500 * 1.43 ^x

The initial value is 1500

1.43 > 1 so it is growth

1- 1.43 = .43

Change to percent

43 % growth

need help with this question, i dont think its hard for you.​

Answers

Since there’s a dash on two of the sides, that means they equal in length.

So I just did 2(3x+5) since theres 2 sides the same. Since we know what the equations are for all three sides, we add them together and set it equal to 97. Then we solve for x. Look at my picture for the work.

As you can see, we get x= 9
The question is looking for the base so you plug in 9 into the base. 3(9)+5 which we get 32.

Final answer: 32cm

Please let me know if this helped!! Or rate it the brainlist

What is the solution of the following system 5x+2y+z=4 x+2z=4 2x+y-z=-1

Answers

Let us take the 2nd equation.

x + 2z = 4

x = 4 - 2z

Let us substitute this value of x in equation 1.

5x + 2y + z = 4

5(4-2z) + 2y + z = 4

20 - 10z + 2y + z = 4

2y - 9z + 20 = 4

2y = 9z - 16

y = (9z - 16)/2

Let us substitute this value of y, as well as that of x that we used earlier, in the third equation.

2x + y - z = -1

2(4-2z) + (9z-16)/2 + z = -1

8 - 4z + (9z/2) - 8 + z = -1

Let us multiply both sides of this equation by 2.

16 - 8z + 9z - 16 + 2z = -2

3z = -2

z = [tex]\frac{-2}{3}[/tex]

x = 4 - 2z

  = 4 + [tex]\frac{4}{3}[/tex]

  = [tex]\frac{16}{3}[/tex]

y = (9z-16)/2

  = ([tex]\frac{-18}{3}[/tex] - 16)/2

  = ( [tex]\frac{-66}{3}[/tex])/2

  = -22/2

  = -11

Therefore, x = [tex]\frac{16}{3}[/tex], y = -11, and z = [tex]\frac{-2}{3}[/tex].

A top view of two walls of a room is represented by the x and y-axis, with units in meters. A ball is rolled from the point (0,15). It hits the adjacent wall at (20,0). Find the absolute value function that models the path of the ball. Determine when the ball passes within 3 meters of the wall represented by the x-axis.

Answers

Answer:

The absolute value function that models the path of the ball is

[tex]f(x) = \left | -\frac{3}{4}\cdot x + 15 \right |[/tex]

The coordinates when the ball passes within 3 meters of the wall is [tex]\left (3, 12\tfrac{3}{4} \right )[/tex]

Step-by-step explanation:

Given that the ball rolls without other external influences, we have;

(y - 0) = (x - 15)

The slope, m is give by the relation;

m = (y₂ - y₁)/(x₂ - x₁)

m = (15 - 0)/(0-20) = -3/4

The equation of the path of the ball in slope and intercept form is presented as follows;

y = m·x + c

15 = -3/4 ×0 + c = 15

c = 15

The absolute value function that models the path of the ball is then;

[tex]f(x) = \left | -\frac{3}{4}\cdot x + 15 \right |[/tex]

The vale of the function when x = 3 is given by the relation

[tex]f(x) = \left | -\dfrac{3}{4}\times 3 + 15 \right | = \dfrac{51}{4}[/tex]

Therefore, we have the coordinates as  [tex]\left (3, 12\tfrac{3}{4} \right )[/tex].

Consider triangle ABC. Triangle A B C. Angle C is 80 degrees and angles B and A are y degrees. What is the value of y in the triangle? Angle y = °

Answers

Answer:

y is equal to 50 degrees.

Step-by-step explanation:

The sum of the angles of a triangle is always 180 degrees.  To find what y is, subtract 80 from 180 and divide the difference by 2.  This will give you 50 degrees.

Answer:

y= 50°

Step-by-step explanation:

∠A =∠B = y. So, ΔABC is an isosceles triangle.

Sum of angles of triangle = 180

∠A + ∠B + ∠C = 180

y + y + 80 = 180   {add like terms}

2y + 80 = 180  {Subtract 80 from both sides}

2y + 80 - 80 = 180 - 80

2y = 100   {divide both sides by 2}

2y/2 = 100/2

y= 50°

4x - 1
2.
= x + 7
Can someone help please?

Answers

Answer:

6[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

4x-12 = x+7

4x-12+12 = x+7+12

4x = x+19

4x-x = x+19-x

3x=19

x = 6[tex]\frac{1}{3}[/tex]

And if we substitute the value of x into the equation 4x-12 = x+7,

we will get 13[tex]\frac{1}{3}[/tex] = 13[tex]\frac{1}{3}[/tex] in the end.

Hope this helps :)

Answer:19/3 = [tex]6\frac{1}{3}[/tex]Step-by-step explanation:[tex]4x -12= x+7\\Collect-Like-Terms\\4x-x =7+12\\3x=19\\Divide -Both-Sides-Of-The-Equation-By ; 3\\\frac{3x}{3} =\frac{19}{3} \\\\x = \frac{19}{3}\\ \\x = 6.3\\[/tex]

A bowl has 85 pieces of candy. Nineteen children empty the bowl of candy. Some children take 3 pieces, some children take 5 pieces, and 1 child takes 7 pieces of candy. How many children take 3 pieces of candy?

Answers

Answer:

children take 3 pieces of candy are 6

Step-by-step explanation:

x+y=19-1          x+y=18

3x+5y=85-7    3x+5y=78

eliminate x by multiplying the first equation by 3:

3x+3y=54

3x+5y=85   subtract

(3x+3y)-(3x+6y)=54-78

3x-3y-3x-5y=-24

-2y=-24         y=-24/-2=12

y=12 , substitute for y:

x+y=18

x=18-12

x=6

check: 3x+5y=78

3(6)+5(12)=78

18+60=78 correct

A line is defined by the equation y = two-thirds x minus 6. The line passes through a point whose y-coordinate is 0. What is the x-coordinate of this point? A coordinate plane.

Answers

Answer:

  9

Step-by-step explanation:

Put the given information into the equation and solve for x.

  y = (2/3)x -6

  0 = (2/3)x -6 . . . . . substitute for y

  0 = x - 9 . . . . . . . . multiply by 3/2

  9 = x . . . . . . . . . . . .add 9

The x-coordinate of the x-intercept point is 9.

Answer:

x=9

hope this helps :>


A trapezoid has a base length of 22 cm and a mid-segment length of 23 cm. What is the length of the other
base?
24 cm
26 cm
22 cm
28 cm

Answers

Answer:

24 cm

Step-by-step explanation:

Let the length of other base be x cm

Therefore, by mid segment formula of a trapezoid, we have:

[tex]23 = \frac{1}{2} (x + 22) \\ \\ 23 \times 2 = x + 22 \\ 46 = x + 22 \\ 46 - 22 = x \\ x = 24 \: cm[/tex]

Robyn saves up $204 and spends $32.50 on books. She wants to purchase more books from a sale where they cost $8.15 each. Which equation represents the situation? A. 204x=8.15+32.5 B. 8.15x+32.5=204 C. 8.15+32.5x=204 D. 32.5x=204⋅8.15

Answers

Answer: B

Step-by-step explanation:

If we assume the no. of books to be x.

Value of more books will be 8.15 x

The equation will be

8.15x + 32.5 = 204

In a school auditorium, the number of chairs in a row is the same as the number of rows of chairs. There are 7033 students in the school. If we know that less than 31 chairs were empty, how many chairs were empty after all the students sat down?

Answers

Same number of rows to chairs in a row would form a square.

Use the total number of students as the area

Find the number or rows by taking the square root of student:

The square root of 7033 is 83.86

Round up to 84

Total seats would be rows x seats per row:

84 x 84 = 7,056 total seats

7056 seats - 7033 students = 23 empty seats

In the image, point A marks the center of the circle. Which two lengths must form a ratio of 1:2?
A.
A F:AE
B.
BC:EF
C.
EF:AI
D.
AI:EF
E.
AI:AD

Answers

Answer: AI:EF

Step-by-step explanation:

Answer:

D. ) AI:EF

Step-by-step explanation:

PLATO

solve 2x - 1/5 + 2x - 19.6​

Answers

Answer:

x = 4.95

Step-by-step explanation:

4x - 19.8 = 0

4x = 19.8

x = 4.95

Exactly as above, if you solve by simple simplification then the steps would be very understandable

F(x) = 2x+1 and g(x) =x^2-7 find (f-g) (x)

Answers

Answer:

(f - g)(x) = -x² + 2x + 8

Step-by-step explanation:

Step 1: Plug in variables

2x + 1 - (x² - 7)

Step 2: Distribute the negative

2x + 1 - x² + 7

Step 3: Combine like terms

-x² + 2x + 8

Answer:

  -x^2 +2x +8

Step-by-step explanation:

F(x) = 2x+1

g(x) =x^2-7

(f-g) (x) =2x+1  - ( x^2 -7)

   Distribute the minus sign

           = 2x+1 -x^2 +7

           -x^2 +2x +8

Clinical literature reports that the duration of a typical cold is roughly 18 days. Researchers wanted to know if people tend to underestimate the duration of a typical cold, on average. They surveyed a random sample of 352 healthy adults in Georgia and asked them how long they think that a typical cold lasts. The researchers reported a 95% confidence interval of 6.9 to 8.2 days for the mean expected duration of typical cold. The researchers reported that the answers to this question were strongly right-skewed. The 95% confidence interval (6.9, 8.2) they obtained is

Answers

Answer:

The 95% confidence interval (6.9, 8.2) they obtained means that "We are 95% confident that the population mean duration is between 6.9 and 8.2 days".

Option B from the complete Question.

Step-by-step explanation:

Confidence Interval for the population mean is basically an interval of range of values where the true population mean can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample mean) ± (Margin of error)

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error of the mean)

Critical value will be obtained using the t-distribution if there is no information provided for the population standard deviation and it is obtained from the z-tables if the population standard deviation is known or the sample size is large enough that the sample properties can be approximated to be the same as the population properties.

Standard error of the mean = σₓ = (σ/√n)

σ = standard deviation of the sample

n = sample size

Confidence Interval = (Sample mean) ± [(Critical value) × (standard Error of the mean)]

So, the confidence interval (6.9, 8.2) obtained in the question means that "We are 95% confident that the population mean duration is between 6.9 and 8.2 days".

Hope this Helps!!!

What is the domain of this function?
{x|x >0}
{x|x <8)
{x|0 {xlx < 0x8}

Answers

Answer:

x≥0, or x=[0,∞)

Step-by-step explanation:

Domain is values of x.

x≥0, or x=[0,∞)

Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 2−x and y = 4x + 3 intersect are the solutions of the equation 2−x = 4x + 3. (4 points) Part B: Make tables to find the solution to 2−x = 4x + 3. Take the integer values of x only between −3 and 3. (4 points) Part C: How can you solve the equation 2−x = 4x + 3 graphically? (2 points) PLez Answer 50 points

Answers

Answer:

Step-by-step explanation:

Part A:

We have two lines: y = 2 - x and y = 4x + 3 . Given two equations that are both required to be true. The answer is the points where the lines cross, this means we have to make the equations equal to each other. It will look like this:

                                                       2 - x = 4x + 3

Part B:

In order to solve the equation we need to put the like terms together. So we will add x on each side.

                                                       2 - x = 4x + 3

                                                           +x   +x

                                                     

So now we get:

                                                           2 = 5x + 3

Now that x is on one side and is positive we will move 3 on the left side by subtracting it from each side.

                                                           2 = 5x + 3

                                                           -3         -3

So now we get:

                                                           -1 = 5x

Now that the like terms have been combined we need to find out what x alone is so we divide 5 on each side:

                                                           [tex]\frac{-1}{5}[/tex] = [tex]\frac{5x}{5}[/tex]

No we see that:

                                                           x = [tex]-\frac{1}{5}[/tex]

An interior angle of a regular convex polygon is 140°. How many sides does the polygon have?

Answers

Answer:

hope it will help uh.....

I need help on this problem plz

Answers

Answer:

needddd

Step-by-step explanation:

There are only green pens and red pens in a box. there are 3 more red pens than green pens in the box. sheila is going to take at random two pens from the box the probability that sheila will take two pens of the same color is 17/35 work out two different numbers of green pens that could be in the box

Answers

Answer: 6 or 9

Step-by-step explanation:

Given the following :

Let the number of green pens = x

Number of red pens = x + 3

Probability of picking same color = 17/35

Taking two pens at random; probability of picking two pens of same color.

Probability of picking red on first pick then red on second pick ; or picking blue on first pick then blue on second pick

Probability = (Required outcome / Total possible outcomes)

Total number of pens = x + x + 3 = 2x + 3

Probability of picking red then red:

P(red first) = (x+3)/2x+3

P(red second) = x+3-1 / 2x+3-1 = (x+2)/2x+2)

Therefore, probability of red then red =

(x+3)/(2x+3) × (x+2)/2x+2)

= (x+3)(x+2) / (2x+3)(2x+2)

Probability of green then green:

P(first green) = x/(2x+3)

P(second green) = (x-1) / (2x+3-1) = (x-1) / (2x+2)

P(green then green) = x(x-1)/(2x+3)(2x+2)

Therefore,

[(x+3)(x+2) / (2x+3)(2x+2)] + [x(x-1)/(2x+3)(2x+2)] = 17/35

(x+3)(x+2)+x(x-1) / (2x+3)(2x+2) = 17/35

Cross multiply :

35(x+3)(x+2)+x(x-1) = 17(2x+3)(2x+2)

35(2x^2 + 4x + 6) = 17(4x^2 + 10x + 6)

70x^2 + 140x + 210 = 68x^2 + 170x + 102

70x^2 - 68x^2 + 140x - 170x + 210 - 102 = 0

2x^2 - 30x + 108 = 0

Now we have a quadratic equation which can be factoeized used using any known factorization method.

Factorizing this, we get

(x-6) = 0 or (x-9) = 0

x = 6 or x = 9

: An Australian man on holiday in Germany finds that his wallet
contains 700 AUD. If he changes the money at a bank how
many euros will he receive?​

Answers

Answer:

700 AUD ⇒ 430.72 euros

Hope this helps.

Do 26 and if u want to do 27 too I’ll give Brainlynest

Answers

Answer:

26) translation: (x - 4, y + 3)

27) see down below

Step-by-step explanation:

26) Its a translation since the shape isn't reflected nor rotated. To find the translation, you can see that the shape would move 4 to the left (- 4), and up 3 ( + 3), which gives you (x - 4, y + 3) (x determines left/right and y determines up/down).

27)

<1 = 135

<2 = 45

<3 = 45

<4 = x = 20

<5 = 135

<6 = 45

<8 = 135

Ronald ran 6 laps in 12 minutes. Which ratio can be used to find the number of laps that Ronald ran in 1 minute?


Answers

Answer:

6/12

Step-by-step explanation:

Got it right on test

Answer: 6 / 12

Step-by-step explanation: I took the test 2 hours ago xD

Other Questions
Homolysis, or homolytic bond dissociation, produces a very specific type of product under certain reaction conditions. In Part 1, select all the products (in formulae and general chemical terms) that could result from homolysis. In Part 2, select the reaction conditions that are most likely to promote homolysis. Part 1. Choose all that may occur as possible products of a homolysis reaction. Choose one or more:_______. a. hydride ion b. R3CO c. Br2 d. H e. a carbocation f. H3C g. H3CO- h. hydrogen ion i. a carbon free radical Part 2. Choose the conditions under which homolysis is likely to occur. Choose one or more:_______. a. strong base b. ultraviolet irradiation c. high temperature d. strong acid e. infrared irradiation f. low temperature When you take your first job, you decide to start saving right away for your retirement. You put $5,000 per year into a saving plan, which interest rate 10% per year. Five years later, you move to another job and stop making contributions to the saving plan. If the first plan continued to earn interest for another 35 years, determine the future worth in year 40. HELP!!! How far have I travelled if I biked at 10mph for hhrs, I walked at 3mph for twice as long as I biked, and ran at 10mph for one quarter as long as I walked? Qu significa, segn tu propia opinin la frase llevar la pregunta a la mxima expresin, preguntar el porqu del porqu del porqu del porqu y as, al infinito? The grade of a road is its slope written as a percent. A warningsign must be posted if a section of road has a grade of at least 8% and ismore than 750 feet long.a. Interpret and Apply A road rises 63 feet over a horizontal distanceof 840 feet. Should a warning sign be posted? Explain your thinking.b. Critical Thinking The grade of a section of road that stretches over ahorizontal distance of 1000 feet is 9%. How many feet does the roadrise over that distance? A motor is 85.4 % efficient: that is, the output is 85.4 % of the input.What is the input if the motor delivers 10.75 hp. ( Round your answer to 1decimal place.) An electron, moving west, enters a magnetic field of a certain strength. Because of this field the electron curves upward. What is the direction of the magnetic field? Evaluate the expression......... How do you find the amount of electrons for any element? What is the complete factorization of x^2+4x-45? role of media essay Keisha wants to buy a stereo. Her mother said if Keisha saved 75% of the cost of the stereo, she would pay the other 25% and the taxes. If the cost of the stereo is $150.00, how much money does Keisha need to save? I got the answer but I really dont know if its correct or not, please help this is due today The value of an SMT capacitor is signified by a if p+4/p-4, what is the value of p The radius of a circle is given as 10cm subject to an error of 0.2cm. the error in the area of the circle is? ((Please help asap!! Will give brainliest to correct answer.!!))Use the map of Korea below to answer the following question:Map above^^The white line politically dividing Korea represents Select one:a. the Iron Curtainb. the Berlin Warc. the 38th paralleld. the Demarcation Line of 1954 Which of the following is an example of the effect on human life of theprocesses within Earth's water system (the hydrosphere)? Gabriel note sur une frise chronologique les vnements familiaux importants. Il utilise des entiers positifs ou ngatifs. Pour crire une date avant sa naissance, il utilise des nombres ngatifs et pour une date aprs sa naissance, des nombres positifs. Par exemple, la mre de Gabriel a reu une mdaille en l'an -2020minus, 20 et la sur de Gabriel est ne en l'an +5+5plus, 5. Que reprsente l'anne 0~?0 ?0, space, question mark Rponse : Rponse : L'anne o la sur de Gabriel est ne L'anne de la naissance de Gabriel L'anne o la mre de Gabriel a reu une mdaille Texas-Q Company produces and sells barbeque grills. Texas-Q sells three models: a small portable gas grill, a larger stationary gas grill, and the specialty smoker. In the coming year, Texas-Q expects to sell 20,000 portable grills, 50,000 stationary grills, and 5,000 smokers. Information on the three models is as follows: Portable Stationary Smokers Price $90 $200 $250 Variable cost per unit 45 130 140Total fixed cost is $2,128,500.Required: 1. What is the sales mix of portable grills to stationary grills to smokers? 2. Compute the break-even quantity of each product.