Brainliest question please help me please

Brainliest Question Please Help Me Please

Answers

Answer 1

Answer:

Step-by-step explanation:

ES=√((6+1)²+3²)=√(49+9)=√58

ST=(6-1)=5

TR=5+1=6

IR=√((6-1)²+(3-1)²)=√(25+4)=√29

PI=6+1=7

PE=3+2=5

Perimeter=√58+5+6+√29+7+5=23+√58+√29≈37.68 units


Related Questions

The volume of a cube is represented by the polynomial 8x³ - 60x² + 150x - 125. Determine the measure of the edge of that cube.

Answers

Answer:

Edge = 2.5

Step-by-step explanation:

Please help me answer.

Answers

Answer:

Slope-intercept: y=3/4x+1

Sorry idk how to do general form

Step-by-step explanation:

Slope-intercept form is y=mx+b, m being the slope, b being the y-intercept.

The slope of this graph is 3/4, and the y-intercept is 1.

Answer:

Slope-intercept form: [tex]y=\frac{3}{4}x+1[/tex]

General form: [tex]-3/4x+y-1[/tex]

Step-by-step explanation:

Firstly, to get the slope intercept form, we need to find the slope and the y-intercept.  To find the slope, we can use the slope formula and calculate the "rise over run" for these two points. The coordinate of the first point is (0, 1) , and the coordinate of the second point is (4, 4). If x1 = 0, x2 = 4, y1 = 1, and y2 = 4, we can plug those values into the slope formula that I mentioned earlier, which is [tex]\frac{y_{2}-y_{1}}{x_{2}-{x_{1}}}[/tex]. So, after we plug in those values we get in the two points, we can see that [tex]\frac{4-1}{4-0}[/tex], so the slope is [tex]\frac{3}{4}[/tex]. The x moves right 4 times and the y goes up 3 times. Finally, the y-intercept value is 1 because when x = 0, y is 1, and the point we used for the slope formula (0, 1) proves that. For the slope-intercept form, [tex]mx+b[/tex], where m is the slope and b is the y-intercept, m is [tex]\frac{3}{4}[/tex] and b is 1. So, our final answer for the slope-intercept form is [tex]y=\frac{3}{4}x+1[/tex]. Now we can find the general form. To do this, we must get one side of the equation to equal 0. Using our slope-intercept equation, [tex]y=\frac{3}{4}x+1[/tex], we can subtract y from both sides to get 0 on the left, like this: [tex]0=\frac{3}{4}x+1-y[/tex]. Then, we can rearrange the variables to general form: [tex]0=\frac{3}{4}x-y+1\\[/tex]. That is our general form answer. To recap, to find the slope, find the coordinates of the two points, and then plug in those points into the slope formula to find the steepness of the line. Then, add the y intercept that we can see on the graph. For general form, subtract y from both sides and rearrange the equation. Hope this helps!

The formula f(x + 1) = Two-thirds(f(x)) defines a geometric sequence where f(1) = 18. Which explicit formula can be used to model the same sequence?

Answers

Answer:

The explicit formula is Tn = 18[(2/3)^(n-1)]

Where n is the term we are looking for

Step-by-step explanation:

Here, we want to get an explicit formula to model the equation

Now, F(2) = 2/3 * f1 = 2/3 * 18 = 12

F(3) = 2/3 * f(2) = 2/3 * 12 = 8

F(4) = 2/3 * F(3) = 2/3 * 8 = 16/3

F(5) = 2/3 * 16/3 = 32/9

Thus, seeing how the equations are progressing, we can definitely see a pattern.

That is Tn = (2/3)^(n-1)(18)

Answer:

Answer in image.

Step-by-step explanation:

Solve the simultaneous equation
y=9-x
y= 2x^2+4x+6

Answers

Answer:

The solution of the given two simultaneous equation

A( 3 ,6)  and  [tex]B(\frac{1}{2} ,\frac{17}{2} )[/tex]

The intersecting points of given two simultaneous equations are

A( 3 ,6)  and  [tex]B(\frac{1}{2} ,\frac{17}{2} )[/tex]

Step-by-step explanation:

Explanation:-

Step(i):-

Given  simultaneous equation

        y  =  9-x    ...(i)

      y   = 2 x² +4 x+6 ..(ii)

Equating (i) and (ii) equations , we get

      9 -x =  2 x² +4 x+6

 ⇒    2 x² +4 x + 6- 9 +x =0

 ⇒  2 x² + 5 x - 3 =0

  ⇒ 2 x² +6 x -x -3 =0

⇒   2 x ( x +3) -1 ( x+3) =0

⇒    (2 x -1 ) ( x+3) =0

⇒    (2 x -1 ) = 0   and   ( x +3 ) =0

    [tex]2 x =1[/tex]    and   x = -3

      x = 1/2 and x =3

Step(ii):-

  x = 3  ⇒ y = 9 - 3 =6

   A( 3 ,6)

 [tex]x = \frac{1}{2} , y = 9 - \frac{1}{2} = \frac{17}{2}[/tex]

[tex]B(\frac{1}{2} ,\frac{17}{2} )[/tex]

Final answer:-

The intersecting points of two simultaneous equations are

A( 3 ,6)  and  [tex]B(\frac{1}{2} ,\frac{17}{2} )[/tex]

The solution of the given two simultaneous equation

A( 3 ,6)  and  [tex]B(\frac{1}{2} ,\frac{17}{2} )[/tex]

The solution to the given simultaneous equation is (1/2, 8 1/2) and (-3, 12)

From the question,

We are to solve the given simultaneous equations

The given equations are

y = 9-x                ---------- (1)

y = 2x²+4x+6    ---------- (2)

Substitute equation (1) into equation (2)

y = 2x²+4x+6

That is

9-x = 2x²+4x+6

Simplifying, we get

0 = 2x² +4x +x +6 -9

0 = 2x² +5x -3

∴ 2x² +5x -3 = 0

Now, solving the quadratic equation

2x²+6x -x -3 = 0

Factorizing

2x(x+3) -1(x+3) = 0

Then, we get

(2x -1)(x+3) = 0

∴ 2x - 1 = 0 OR x + 3 = 0

2x = 1 OR x = -3

∴ x = 1/2 OR x = -3

Now, substitute the values of x into equation (1) to determine the values of y

y = 9-x

When x = 1/2

y = 9 - 1/2

y = 8 1/2

and when x = -3

y = 9 --3

y = 9+3

y = 12

Hence, the solution to the given simultaneous equation is (1/2, 8 1/2) and (-3, 12)

Learn more here: https://brainly.com/question/24448700

given that a*b=2a-3b,then 2*(-3)=​

Answers

Answer:

13

Step-by-step explanation:

Given: a*b=2a-3b

To find: 2*(-3)

Solution:

Numbers that are used for counting are known as natural numbers. Number along with the digit 0 are known as whole numbers.

In the question, [tex]*[/tex] is used to define relation between a and b as [tex]a*b=2a-3b[/tex]

To find 2*(-3), use the given condition: a*b=2a-3b

Put [tex]a=2,b=-3[/tex]

[tex]2*(-3)=2(2)-3(-3)=4+9=13[/tex]

Given that a*b = 2a-3b,then 2*(-3)=​ 13

The given binary operation is:

a*b = 2a  -  3b

Applying this binary operation to 2*(-3), we are going to substitute a = 2 and b = -3 into the binary operation a*b = 2a  -  3b

If a = 2 and b = -3:

2*(-3)  =  2(2)  -  3(-3)

2*(-3)  =  4   +  9

2*(-3)  =  13

Therefore, given that a*b = 2a-3b,then 2*(-3)=​ 13

Learn more here: https://brainly.com/question/16827196

Which interval for the graphed function contains the local
minimum?
O f-1,1]
(1.2)
O(-3,-1)
O (-5, -3)

Answers

(-5,-3) is the correct answer

A circle representing a pool is graphed with a center at the origin. Grant enters the pool at point A and swims over to a friend who is located at point B. A coordinate plane with a circle drawn. The center of the circle is the origin, (0, 0). The circle has a diameter of 16 units. There is a line segment drawn from Point A at (8, 0), passing through (0, 4) to Point B at (negative 4, 6). Which equation represents Grant’s path? y = 2 – 4x y = 4 – y = 6 – y = 8 – 2x

Answers

Answer:

y = 4 - x/2

Step-by-step explanation:

Since the line passes through the points A(8,0) and B(4,6), we find that gradient of that lime m = (y₂ - y₁)/(x₂ - x₁) where (8,0) = (x₁, y₁) and (-4,6) = (x₂, y₂).

So, m = (6 - 0)/(-4 - 8) = 6/-12 = = -1/2.

Since the line passes through the point (0,4), the equation of the line is

m = (y - y₃)/(x - x₃) where (x₃, y₃) = (0,4)

So, -1/2 = (y - 4)/(x - 0)

            = (y - 4)/x

    -x/2 = y - 4

         y = 4 - x/2

which is the equation of the line.

Answer:

B

Step-by-step explanation:

the perimeter of a pickleball court is 128 feet. The width is represented by x and the length is represented by 2x + 4. What are the actual dimensions of the pickleball court (length and width)?

Answers

Answer:

x=62.

Step-by-step explanation:

2x +4=128

2x=128-4

2x=124

x= 62

What numbers are not square or even?

Answers

Answer:

Search Results

Featured snippet from the web

Odd and even square numbers

As all even square numbers are divisible by 4, the even numbers of the form 4n + 2 are not square numbers. As all odd square numbers are of the form 4n + 1, the odd numbers of the form 4n + 3 are not square numbers.

Step-by-step explanation:

please help with question below thank you

Answers

Answer:

44/51

Step-by-step explanation:

1 5/6 ÷ 2 1/8

Change to improper fractions

1 5/6 = (6*1+5)/6 = 11/6

2 1/8 = (8*2 +1) /8 = 17/8

11/6 ÷17/8

Copy dot flip

11/6 * 8/17

11/17 * 8/6

11/17 *4/3

44/51

Hannah babysits to earn money. She charges $6.50 to babysit for the first hour. She charges $5.75 for each additional hour. Let "n" equal the number of hours after the first hour. Which expression represents how much Hannah charges? *

Answers

$6.50 + $5.75n hope this helps

What is the slope of the linear represents by the equation y = 4/5 x -3

Answers

Answer:

4/5

Step-by-step explanation:

y = mx + b

4/5 = m = slope

Answer:

The slope is 4/5.

Step-by-step explanation:

It's a linear equation. Which means that you can graph a "line" out of it.

The format is y=mx+b

mx=slope

b= y-intercept.

The slope is 4/5.

David wants to hang a mirror in his room. The mirror and frame must have an area of 8 square feet. The mirror is 2 feet wide and 3 feet long. Which quadratic equation can be used to determine the thickness of the frame, x?

Answers

Answer:

4x^2+10x-2=0

Step-by-step explanation:

So the total area of mirror: 2*3 = 6 ft sq

8-6 = 2 ft sq is the area of the frame

x is the thickness of the frame

so we have (2*x)*2+(3*x)*2+x*x*4= 2

4x+6x+4x^2=2

-> 4x^2+10x-2=0

What is the number of sides of a regular polygon whose exterior and interior angles are in the ratio 1:5?

Answers

Answer:

12

Step-by-step explanation:

n*30=360

n=360/30

n=12

Solve the simultaneous equations

3a+2b+1

a+2b=5

a=

b=

Answers

Answer: a=-2, b=7/2

Step-by-step explanation:

To solve for a and b, we can use the elimination method for these system of equations.

3a+2b=1

a+2b=5

Since there is a 2b in both equations, we can subtrac the 2 equations.

2a=-4

a=-2

Now that we have found a, we can plug it into ay of the equations to find b.

-2+2b=5

2b=7

b=7/2

help fast please who ever answer correct i will rate them excellent,

which is the correct answer

1) 4x - 7 = 13 *

5

4

3

2

2) 3x + 4 = 25 *

5

4

3

7

3) p/3 +5 =9 *

13

12

10

11

4) m/5 + 2 = 12/5 *

0

1

2

3

5) 4z/5 - 2 =6 *

9

10

11

12
who ever answer correct i will rate them excellent

Answers

1. x =5

2. x = 7

3. p = 12

4. m=2

5. z = 10

Answer:

Below in bold.

Step-by-step explanation:

1) 4x - 7 = 13

4x = 20

x = 20/4

x = 5.

2)  3x + 4 = 25

3x = 21

x = 7.

3) p/3 + 5 = 9

p/3 = 9 -5 = 4

Multiply both sides by 3:

p =  3*4

p = 12.

4)   m/5 + 2 = 12/5

Multiply through by 5:

m + 10 = 12

m = 12 -10

m = 2.

5) 4z/5 - 2 = 6

4z/5 = 8

Cross multiply:

4z = 5*8

4z = 40

z = 10.

Pls help me with this questions​

Answers

Step-by-step explanation:

6a

Sn = n/2 [2a + (n-1) d]

(2Sn)/ n = 2a + (n - 1) d

2a + (n-1) d = (2Sn)/n

(n-1) d = (2Sn - 2a)/n

[tex]d = \frac{2sn \: - 2a}{(n(n - 1))} [/tex]

[tex]d = \frac{2(sn - a)}{ {n}^{2} - n} [/tex]

6b

[tex]d = \frac{2(56 - 25)}{ {32}^{2} - 32} [/tex]

d = ¹/16

7a.

E = (mv²)/2 + mgh

E = m( v²/2 + gh)

E/m = v²/2 + gh

E/m - gh = v²/2

2(E/m - gh) = v²

so

[tex]v = \sqrt{2( \frac{e}{m} - gh)}[/tex]

7b.

[tex]v = \sqrt{2( \frac{4900}{20} - 9.8 \times 15)}[/tex]

v = 14 m/s

Quinn returned home one summer's day to find it sweat-inducingly hot! He turned the air conditioner on and fell asleep. The room's temperature decreased by 0.5^\circ0.5



0, point, 5, degrees Celsius each minute, and Quinn woke up 606060 minutes later when it was 10^\circ10



10, degrees Celsius.

Answers

Answer:

[tex]f(x)=-0.5x+40[/tex]

Step-by-step explanation:

To solve this problem, we need to find the linear function. We know that the constant rate of change is -0.5° Celsius per minute. Also, after 60 minutes the temperature was 10° Celsius. So, we have a one point and the slope of the linear function, let's use the point-slope formula

[tex]y-y_{1} =m(x-x_{1} )\\y-10=-0.5(x-60)\\y=-0.5x+30+10\\y=-0.5x+40[/tex]

Where the y-intercept is at (0, 40).

Now, we have two points to graph the relation between minutes and Celsius degrees.

Therefore, the room's temperature as a function of time is

[tex]f(x)=-0.5x+40[/tex]

Its graph is attached.

Answer:

Put one of the dots 2 spaces obove 60 and the other dot 3 spaces above 50.

Step-by-step explanation:

calculate the number in the middle of -8 and 31

Answers

Step-by-step explanation:

do you mean --8 plus 31

Given the directrix of y = 6 and focus of (0, 4), which is the equation of the parabola?
y = −one fourthx2 + 5
y = −one fourthx2 − 5
y = one fourthx2 + 5
y = one fourthx2 − 5

Answers

Answer:

a) The equation of the parabola

                        [tex]y = \frac{-x^{2} }{4} +5[/tex]

Step-by-step explanation:

Explanation:-

Step(i):-

Given the directrix of the parabola y = 6

Focus of the parabola S(0,4)

The standard equation of the parabola

                  ( x- h)² = 4 a (y-k)

(h,k) is the vertex of the parabola

Axis of the parabola is parallel to y-axis

Given the directrix of the parabola y = 6

The directrix of the parabola y = k -a = 6

                                k-a =6 ...(i)

The focus of the parabola

                         S( h , K+a) = (0,4)

so   h = 0 and K+a =4

                          K+a =4 ....(ii)

Step(ii):-

Solving (i) and (ii) equations , we get

    Adding (i) and (ii) equations and we get

     K-a + k+a = 6 +4

               2 K = 10

                  K =5

Substitute   K =5 in equation (i)

             K -a =6

            5 -a =6

            5-6 =a

            a = -1

Step(iii):-

we have (h,k) =( 0,5)  and a = -1

The equation of the  parabola

                                 ( x- h)² = 4 a (y-k)

                                 ( x- 0)² = 4 (-1) (y-5)

                                x²  = -4 y + 20

                              -4 y =   x²  - 20

dividing '-4' on both sides, we get

                         [tex]y = \frac{x^{2} }{-4} +\frac{-20}{-4}[/tex]

                          [tex]y = \frac{-x^{2} }{4} +5[/tex]

Final answer:-

The equation of the parabola

                        [tex]y = \frac{-x^{2} }{4} +5[/tex]

                 

Which of these decimals in expanded form are less than 6.2? Check all that apply. 6 + 0.2 + 0.08 6 + 0.1 + 0.07 6 + 0.2 + 0.00 (6 × 1) + (1 × 0.1) + (5 × 0.01) (6 × 1) + (2 × 0.1) + (1 × 0.01) (6 × 1) + (3 × 0.1) + (9 × 0.01)

Answers

Answer:

6 plus .1 plus .007

6 times 1 plus 1 times .1 plus 5 times .01

Step-by-step explanation:

Hope this helps

The cost of a large pizza is $10.99. Each additional topping costs $1.25. Write an expression that can be used to find the cost of a pizza when x toppings are included

Answers

Answer: 10.99 + 1.25x

Step-by-step explanation:

The cost of a large pizza is $10.99 and each additional topping costs $1.25. The expression that can be used to calculate the cost of a pizza when x toppings are added will be:

Cost of pizza + (number of additional toppings × 1.25)

Since x toppings are included, this will be:

= 10.99 + (1.25 × x)

= 10.99 + 1.25x

2x+y=5
x - y = 4

Please answer this wuestion​

Answers

Answer:

x=9

y=5

Step-by-step explanation:

X = 3

Y = -1

This is because
2 * 3 + - 1 = 2 * 3 - 1 = 5
3 - - 1 = 3 + 1 = 4

What are the answers to these questions

Answers

Answer:

135°

Step-by-step explanation:

You want QRT. So if you look at it you have a straight line, which equals 180°. you already have an angle at 45° so all you do is 180-45 and that equals 135°

Carl wants to put up a glow-in-the-dark sticker display on his bedroom ceiling. He needs a gallon of black paint which costs $12. The stickers cost $18 per package and he wants to buy 2 packages. Which of the following is a good estimation of how much change Carl will get back if he gives the cashier $60?

Answers

Answer:3a ?

Step-by-step explanation:

Answer:

✈️?

Step-by-step explanation:

There are 15 students going on a field trip. If 3/5 of them pack there lunches, how many students pack their lunches?

Answers

Answer:

9 pack their lunches

Step-by-step explanation:

Take the number of students and multiply by the fraction that pack their lunches

15 *3/5 =

15/5 * 3

3*3

9

A customer at a restaurant can choose a soup and a salad from the menu choices shown.
Which sample space represents all the possible ways to choose one soup and one salad?
OG, OC, OT, OV, TG, TC, TV, VG, VC, GC
OG, TC, VC
Soup
Salads
Onion (O) Garden (G)
Tomato (U) Chopped (C)
Vegetable (V)
OG, OC, TG, TC, VG, VC
OG, OC, TG, TC, VC​

Answers

Answer:

OG, OC, TG, TC, VG, VC

Step-by-step explanation:

Soups: O, T, V

Salads: G, C

For each soup, he can choose 2 salads.

OG, OC, TG, TC, VG, VC

The sample space represents all the possible ways to choose one soup and one salad is {OG, OC, TG, TC, VG, VC}.

What is sample space?

Sample space is the set of all the possible values or the outcomes of a event.

Let suppose the coin are tossed two times. Then the set of possible outcome or sample space of it can be given as,

[tex]S=\{HH,HT,TH,TT\}[/tex]

Here, H denotes the head and T denotes the tail part of the coin.

A customer at a restaurant can choose a soup and a salad from the menu choices shown.

  Soup                    SaladsOnion (O)               Garden (G)Tomato (T)            Chopped (C)Vegetable (V)

For this menu the customer choose one onion as soup and one garden as salad which can be represented as (OG). Similarly, the sample space of his choice can be,

[tex]\{OG, OC, TG, TC, VG, VC\}[/tex]

Thus, the sample space represents all the possible ways to choose one soup and one salad is {OG, OC, TG, TC, VG, VC}.

Learn more about the sample space here;

https://brainly.com/question/9222927

#SPJ2

Find the value of 4 + (27 - 12 ∙ 2) ÷ 2.

Answers

Step-by-step explanation:

4 + (27 - 12 * 2) / 2

4 + (27 - 24) / 2

4 + 3/2

5 1/2

Answer:

5 1/2

Step-by-step explanation:

4 + (27 - 12 ∙ 2) ÷ 2=

4 + (27 - 24) ÷ 2=

4 + 3/2= 5 1/2

Solve the system using elimination.
-9x - 4y = 1
3x + 3y = 3
([?], [])

Answers

Step-by-step explanation:

-9x-4y=1....eq1

3x+3y=3.....eq2

multiply eq2 by 3

to get

9x+9y=9....eq3

add eq1 and 3

0+5y=10

5y=10

divide both sides by 5

y=2

substitute y=2 in to eq1

-9x-4(2)=1

-9x-8=1

grouping of like terms

-9x=1+8

-9x=9

divide both sides by -9

x= -1

now the answer is

x= -1, y=2

Factor the expression completely. 1/4 +11/4

Answers

Answer:

3

Step-by-step explanation:

1/4 +11/4

(1+11)/4

12/4

3

Answer:

=3

Step-by-step explanation:

The correct answer to this question is =3. I added the steps down below. I also added a attachment that refer to a number line for this question.

1: =1/4+11/4

2: =1+11/4

3: 12/4

4: =3

Answer: =3

Number line attached.

Hope this helps.

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Which of the following island groups is an archipelago, has glacial lakes and moraines, and has a name that means land of fire?A.the Guiana IslandsB.the Falkland IslandsC.the Galpagos IslandsD.Tierra del Fuego "According to Karen Horney, people who try to purchase love with self-effacing compliance, material goods, or sexual favors use _____ as a strategy to protect themselves against the feeling of being alone in a potentially hostile world." why are some people an angel to each other meanwhile the others are not nice Point S lies between points R and T on .If RT is 10 centimeters long, what is ST?2 centimeters4 centimeters6 centimeters8 centimeters Which factor causes global wind patterns? (earth science)a. changes in the distance between Earth and the Moonb. unequal heating of Earths surface by the Sunc. daily changes in the tilt of Earths axisd. rapid rotation of the Sun on its axis "Joint _____ is the component of joint force development that entails collecting observations, analyzing them, and taking the necessary steps to turn them into changes in behavior that improve the mission ready capabilities of the joint force." Show all work to identify the asymptotes and zero of the function f of x equals 5 x over quantity x squared minus 25 There are many cylinders for which the height and radius are the same value. Letccrepresent the height and radius of a cylinder andVVrepresent the volume of the cylinder.Write an equation that expresses the relationship between the volume, height, and radius of this cylinder using c and V.If the value of c is halved, what must happen to the value of the volume V? How does the first thanksgiving contrast with the first winter A water storage tank has a cylindrical shape. The base has a diameter of 15 meters and the tank is 30 meters high. How much paint will be needed to cover the outside of the tank, to the nearest meter squared unit? Three balls, with masses of 3m,2m and m, are fastened to a massless rod of length L. The rotational inertias about the ledt Nash Corporation had income from continuing operations of $10,813,600 in 2020. During 2020, it disposed of its restaurant division at an after-tax loss of $206,600. Prior to disposal, the division operated at a loss of $316,100 (net of tax) in 2020 (assume that the disposal of the restaurant division meets the criteria for recognition as a discontinued operation). Nash had 10,000,000 shares of common stock outstanding during 2020. Prepare a partial income statement for Nash beginning with income from continuing operations. (Round earnings per share to 2 decimal places, e.g. 1.48.) Please help...1. What is the climate of the region? (temperature, seasons, etc.)2. What is the geography of the region? 3. How do the people make their money in this region?4. Were the people religious? If so, how did it impact their lives?5. List nteresting facts about the colony.(This is for the Southern Colonies Answer these questions in complete sentences.) A football team wears a yellow shirt and white shorts. What would the kit look like:a. in red light?b.in green light?c.in blue light? The Pueblo Revolt wasa.a conflict between the Pueblo mission and Native Americans.b.a conflict between French and Spanish settlers.c.a conflict between two competing missions.d.a conflict between Native American a 129$ golf club is on sale for 30% off. if sales tax is 6.25% what will be the final cost of the golf club with the discount and sales tax? Someone help me :)What are enzymes? (Check all that apply)ProteinsAntibodiesHormonesCatalystsFatsChains of amino acidsNone of the above A _____ is a form of Web conferencing that uses streaming media technologies to broadcast video and/or audio over the Internet from a single content source to many listeners or viewers simultaneously. In the 1970s, China's population swelled due to improved health and food production and distribution. At that time, the average Chinese woman gave birth to 5.8 children. The burgeoning population and its industrial and agricultural development were eroding the nation's soils, depleting its water, leveling its forests, and polluting its air. The government instituted a population control program couched in the language of "patriotic duty" that precluded large numbers of Chinese couples from having more than one-child. A system of rewards, punishments, and social stigmas was used to enforce the one-child limit. The "success" of the program was facilitated by China's communist government. It is unlikely that a similar policy instituted in a democratic society would have been met with as much acceptance and compliance. The policy is controversial to Westerners because it puts limits on personal freedom.Why did China institute a population control policy? How is it enforced? Why is it controversial? Tate Company purchased equipment on November 1, 2020 and gave a 3-month, 9% note with a face value of $120,000. Tates year-end is December 31st. The December 31, 2020 adjusting entry is Group of answer choices debit Interest Expense and credit Cash, $7,200 debit Interest Expense and credit Interest Payable, $1,800 debit Interest Expense and credit Interest Payable, $1,200 debit Interest Expense and credit Interest Payable, $10,800