Which graph shows the solution to the system of linear inequalities? x + 3y > 6 y ≥ 2x + 4 PLEASE HELP

Answers

Answer 1

A system of inequalities can be solved graphically.

See attachment for the required graph

The inequalities are given as:

[tex]\mathbf{x +3y > 6}[/tex]

[tex]\mathbf{y \ge 2x + 4}[/tex]

The options are not given.

So, I have attached the graph that illustrates the solution to the system of inequalities

From the graph, we have the solutions as:

[tex]\mathbf{x >-0.857}[/tex][tex]\mathbf{y \ge 2.286}[/tex]

Read more about graphs of inequalities at:

https://brainly.com/question/15748955

Which Graph Shows The Solution To The System Of Linear Inequalities? X + 3y > 6 Y 2x + 4 PLEASE HELP

Related Questions

in a quiz bhaskar scored -60,20and0and tamanna scored 20,0and60 in three successive rounds.who socred more

Answers

Answer:

Tamanna scored more.

Step-by-step explanation:

Bhaskar scored -60, 20 and 0. His total score is therefore:

-60 + 20 + 0 = -40

Tamanna scored 20, 0, 60. His total score is therefore:

20 + 0 + 60 = 80

Therefore, Tamanna scored more.

True or False: In a uniform probability distribution, any random variable is just as likely as any other random variable to occur, provided the random variables belong to the distribution.'

Answers

Answer:

True

Step-by-step explanation:

trust me, i remember this question

1) Suppose f(x) = x2 and g(x) = |x|. Then the composites (fog)(x) = |x|2 = x2 and (gof)(x) = |x2| = x2 are both differentiable at x = 0 even though g itself is not differentiable at x = 0. Does this contradict the chain rule? Explain.

Answers

Answer:

This contradict of the chain rule.

Step-by-step explanation:

The given functions are

[tex]f(x)=x^2[/tex]

[tex]g(x)=|x|[/tex]

It is given that,

[tex](f\circ g)(x)=|x|^2=x^2[/tex]

[tex](g\circ f)(x)=|x^2|=x^2[/tex]

According to chin rule,

[tex](f\circ g)(c)=f(g(c))=f'(g(c)g'(c)[/tex]

It means, [tex](f\circ g)(c)[/tex] is differentiable if f(g(c)) and g(c) is differentiable at x=c.

Here g(x) is not differentiable at x=0 but both compositions are differentiable, which is a contradiction of the chain rule

Which is a diagonal through the interior of the cube? Side A H Side B E Side C H Side F G

Answers

Answer:

Option (A)

Step-by-step explanation:

Every cube has 8 vertices and 6 faces.

Cube shown in the picture attached,

Diagonal through interior of the given cube will be the segments joining the vertices A-H, G-B, C-F and D-E.

Therefore, from the given options diagonal of the interior of the cube will be Side AH.

Option A will be the answer.

Answer:

the awnser is A

Step-by-step explanation:

i took a quiz

Evaluate 7m + 2n - 8p/n for m = –4, n = 2, and p = 1.5.

Answers

Answer:

-30

Step-by-step explanation:

7m + 2n - 8p/n

Let  m = –4, n = 2, and p = 1.5

7(-4) + 2 ( 2) -8*(1.5)/2

-28 + 4 - 4*1.5

-28+ 4 - 6

-30

Answer:

-30

Step-by-step explanation:

Hey there!

Well given,

m = -4

n = 2

p = 1.5

We need to plug those number into,

7m + 2n - 8p/n

7(-4) + 2(2) - 8(1.5)/(2)

-28 + 4 - 12/2

-28 + 4 - 6

-24 - 6

-30

Hope this helps :)

Plz help!
i Cant answer it​

Answers

Answer: (4,90)

Step-by-step explanation:

In a coordinate pair, the first number represents the x-axis and the second represents the y-axis.

Hope it helps <3

Answer:

C (4,90)

Step-by-step explanation:

In the graph, the point P is on 4 along the x-axis,

and 90 on the y-axis,

therefore making it's coordinates (4, 90).

Hope this helped! :)

How many solutions are there to |x|=-8

Answers

Answer:No solution

Step-by-step explanation:An absolute value equation cannot equal a negative number

please help Evaluate 5 - (3/2) to the 3 power A.) 13/8 B.) 9.5 C.) 18.5 D.) 2197/8

Answers

Answer: THE ANSWER IS A

Step-by-step explanation:

5-(3/2)^3

=13/8

im a math god

HELP!!
According to the graph, what is the value of the constant in the equation below?

Answers

Answer:

The answer is option B

Step-by-step explanation:

To find the constant in the equation pick any values of x and y and substitute it into the equation

First make constant the subject

constant = height × width

From the question

Using

height = 30

width = 2

We have

constant = 30 × 2 = 60

Again

Using

height = 12

width = 5

constant = 12 × 5 = 60

Since the constant is the same for any values used

constant = 60

Hope this helps you

What is the simplified form of 5x-9x

Answers

Answer:

-4x

Step-by-step explanation:

5x - 9x

Factor out x

x( 5-9)

x ( -4)

-4x

Find the measure of AEC and BED

Answers

Answer:

30°

Step-by-step explanation:

well AEB is a straight line which is 180° and we were already given the angles that made up the straight line ,so all u had to do was subtract 60° from 90°

BED =30°

Answer:

AEC=30

BED=30

Step-by-step explanation:

We know that AEC is 30 degrees because it is on line AB, along with a right angle and 60 degrees, add 90 to 60 to get 150, and subtract it from 180 to get your answer, 30

As for BED, AEC and BED are verticle angles so they are equivalent.

If you found this helpful, please consider giving me brainliest, it will help me a lot

Have a good day! :)

Find the value of x in the triangle shown below.

Answers

Answer: x=25

Step-by-step explanation: There are 180 degrees in a triangle. Two of the angles (56 and 99) add up to 155. The last angle, which is x, is 180-155. Therefore, x is 25.

hope this helped you:)

Answer:

The answer is 25°.

Step-by-step explanation:

simply,

here, a triangle of measure 99° and 56° is given.

now, we have;

99°+56+ x= 180° ( sum of an interior angle of a triangle is 180°)

or, 155°+x= 180°

or, x= 180°-155°

therefore, the value of x is 25°.

hope it helps..

Clinical Trial When XELJANZ (tofacitinib) was administered as part of a clinical trial for this rheumatoid arthritis treatment, 1336 subjects were given 5 mg doses of the drug, and here are the numbers of adverse reactions: 57 had headaches, 21 had hypertension, 60 had upper respiratory tract infections, 51 had nasopharyngitis, and 53 had diarrhea. Does any one of these adverse reactions appear to be much more common than the others? (Hint: Find the relative frequencies using only the adverse reactions, not the total number of treated subjects.)

Answers

Answer:

Relative frequencies:

Headaches = 23.55 %

Hypertension = 8.68%

Upper respiratory tract infections =24.79%

Nasopharyngitis = 21.07

Diarrhea = 21.09%

None of these adverse reactions appear to be much more common than the others.

Step-by-step explanation:

Compute frequency:

The number of adverse reactions categories:

Headaches

Hypertension

Upper respiratory tract infections

Nasopharyngitis

Diarrhea

Frequency of each adverse reaction:

Adverse reaction                                Frequency        

Headaches                                                 57                    

Hypertension                                              21

Upper respiratory tract infections             60

Nasopharyngitis                                          51

Diarrhea                                                       53

Compute total frequency

Total frequency is compute dby taking sum of all frequencies;

Sum of frequencies = 57 + 21 + 60 + 51 + 53

                                 = 242

Compute relative frequency:

In order to find if any one of these adverse reactions appear to be much more common than the others, we have to compute relative frequency using these adverse reactions.

By calculating relative frequency we are looking at the number of times a specific adverse reaction appears to be more common, compared to the others.

To calculate relative frequency, divide the frequency of each adverse reaction by the total frequency i.e. 242.

Relative frequency for Headache = 57 / 242

                                                        = 0.2355

                                                        = 23.55 %

Relative frequency for Hypertension = 21 / 242

                                                             = 0.0868

                                                             = 8.68 %

Relative frequency for Upper respiratory tract infections = 60 / 242

                                                                                              = 0.2497

                                                                                              = 24.97 %

Relative frequency for Nasopharyngitis = 51 / 242

                                                                  = 0.2107

                                                                   = 21.07 %

Relative frequency for Diarrhea    = 53 / 242

                                                        = 0.2190

                                                         = 21.90 %

If you observe the relative frequencies of all the adverse reactions, none of them appear to be much more common than the others. Relative frequencies of headaches, upper respiratory tract infections, nasopharyngitis and diarrhea are almost equally common however, relative of hypertension appears to be very less than the other three.

30 points **please help quadratic relations - will give brainlist to first one who answers

Answers

Answer:

See attached figure with table filled in.

Step-by-step explanation:

Answer:

[tex]\boxed{\mathrm{view \: attachment }}[/tex]

Step-by-step explanation:

Vertex is the highest or lowest point of a parabola.

Axis of symmetry is the line that cuts the parabola in half.

y-intercept is the point where the parabola touches the y-axis.

The maximum or minimum values are the highest or lowest values the parabola can reach.

x-intercepts are the points where the parabola touches the x-axis.

find the value of a and explain

Answers

Answer:

D

Step-by-step explanation:

The triangle is an isosceles triangle which means that two sides are the same, A is the same size of the equal side so A is D.

Answer:

The answer is D.

A homeowner measured the voltage supplied to his home on 41 random days, and the average (mean) value is volts. 128.5 Choose the correct answer below. A. The given value is a for the because the data collected represent a . statistic year population B. The given value is a for the because the data collected represent a . statistic year sample C. The given value is a for the because the data collected represent a . parameter year sample D. The given value is a for the because the data collected represent a .

Answers

Answer:

B. The given value is a for the because the data collected represent a . statistic year sample

Step-by-step explanation:

A population is the total of similar items that are of interest to the researcher.

Since the researcher cannot measure each of these items he chooses a part of it to measure. This part of the population is called a sample.

A good sample is representative of the larger population. Deduction made from the sample is used to represent the whole population.

In this scenario the population is the whole year, and the sample is 41 days.

So the mean derived from the sample is statistic of sample from the year.

This can be used to make deductions about the whole year.

Eight of your friends came to your house to watch a movie. Three-fourths of your friends stayed overnight. How many friends stayed?

Answers

Answer:

6 friends

Step-by-step explanation:

8 friends came to watch the movie.

3/4 of them stayed overnight.

The number of people that stayed overnight will be the product of 3/4 by 8:

3/4 * 8 = 24 / 4 = 6

6 friends stayed overnight.

Answer:

6 friends because the three fourths are gone

Step-by-step explanation:

Long Division of x^3-3x^2-10x+24 ÷x-2

Answers

Answer:

see explanation

Step-by-step explanation:

  x - 2 |    x² - x - 12

          ------------------------

          x³ - 3x² - 10x + 24

          x³  - 2x²    ↓       ↓      ← subtract terms from terms above

         --------------------------

               - x²    - 10x + 24

               - x²   + 2x       ↓          ← subtract terms from terms above

         ----------------------------

                       - 12x + 24

                       - 12x + 24           ← subtract terms from above terms

          ----------------------------

                                    0 ← remainder

Since remainder is zero then (x - 2) is a factor

and quotient = x² - x - 12 , thus

x³ - 3x² - 10x + 24 = (x - 2)(x² - x - 12) = (x - 2)(x - 4)(x + 3)

Can someone please help me Just the answer no need to explain it.

Answers

Answer:

C

Step-by-step explanation:

When you use pemdas, it gives the value of 1/32

What is the equation of the line of best fit for the following data? Round the
slope and yintercept of the line to three decimal places.

Need help ASAP!!

Answers

Answer:

The second choice should be the best fit line.

Please answer this question now

Answers

Answer:

y = 9.1

Step-by-step explanation:

By applying Sine rule in the given triangle WXY,

[tex]\frac{\text{SinW}}{\text{XY}}=\frac{\text{SinY}}{\text{WX}}=\frac{\text{SinX}}{\text{WY}}[/tex]

[tex]\frac{\text{SinW}}{\text{w}}=\frac{\text{SinY}}{\text{y}}=\frac{\text{SinX}}{\text{x}}[/tex]

Since m∠W + m∠X + m∠Y = 180°

m∠W + 58° + 106° = 180°

m∠W = 180° - 164°

m∠W = 16°

[tex]\frac{\text{Sin16}}{\text{w}}=\frac{\text{Sin106}}{\text{y}}=\frac{\text{Sin58}}{\text{8}}[/tex]

[tex]\frac{\text{Sin106}}{\text{y}}=\frac{\text{Sin58}}{\text{8}}[/tex]

y = [tex]\frac{8\times (\text{Sin106})}{\text{SIn58}}[/tex]

y = 9.068

y ≈ 9.1

What the answer now now

Answers

Answer:

The area of the triangle is [tex]346.0\ mm^2[/tex]

Step-by-step explanation:

Given

Triangle VWU

Required

Determine the Area of the Triangle

First, we'll solve for the third angle

Angles in a triangle when added equals 180;  So

[tex]36 + 24 + <V = 180[/tex]

[tex]60 + <V = 180[/tex]

[tex]<V = 180 - 60[/tex]

[tex]<V = 120[/tex]

Next is to determine the length of VW using Sine Law which goes thus

[tex]\frac{VW}{Sin24} = \frac{34}{Sin36}[/tex] (Because 24 degrees is the angle opposite side VW)

Multiply both sides by Sin24

[tex]SIn24 * \frac{VW}{Sin24} = \frac{34}{Sin36} * Sin24[/tex]

[tex]VW = \frac{34}{Sin36} * Sin24[/tex]

[tex]VW = \frac{34}{0.5878} * 0.4067[/tex]

[tex]VW = 23.5 mm[/tex] (Approximated)

At this stage, we have two known sides and two known angles;

The Area can be calculated as the 1/2 * the products of two sides * Sin of the angle between the two sides

Considering VW and VU

VW = 23.5 (Calculated);

VU = 34 (Given)

The angle between these two sides is 120 (Calculated);

Hence;

[tex]Area = \frac{1}{2} * 23.5 * 34 * Sin120[/tex]

[tex]Area = \frac{1}{2} * 23.5 * 34 * 0.8660[/tex]

[tex]Area = \frac{1}{2} * 691.934[/tex]

[tex]Area = 346.0 mm^2[/tex]

Hence, the area of the triangle is [tex]346.0\ mm^2[/tex]

Middle school help???? fast

Answers

Answer:

8.4 ft

Step-by-step explanation:

Perimeter = side x 4

(Re-arrange)

Side = Perimeter / 4

34/4 = 8.4 ft

Answer:

8.5 feet

Step-by-step explanation:

Divide 34 by 4. A square has 4 sides which are all the same.

If the perimeters of each shape are equal, which equation can be used to find the value of x? A triangle with base x + 2, height x, and side length x + 4. A triangle with length of x + 3 and width of one-half x. (x + 4) + x + (x + 2) = one-half x + (x + 3) (x + 2) + x + (x + 4) = 2 (one-half x) + 2 (x + 3) 2 (x) + 2 (x + 2) = 2 (one-half x) + 2 (x + 3) x + (x + 2) + (x + 4) = 2 (x + 3 and one-half)

Answers

Correct question :

If the perimeters of each shape are equal, which equation can be used to find the value of x? A triangle with base x + 2, height x, and side length x + 4. A rectangle with length of x + 3 and width of one-half x. (x + 4) + x + (x + 2) = one-half x + (x + 3) (x + 2) + x + (x + 4) = 2 (one-half x) + 2 (x + 3) 2 (x) + 2 (x + 2) = 2 (one-half x) + 2 (x + 3) x + (x + 2) + (x + 4) = 2 (x + 3 and one-half)

Answer: (x + 2) + x + (x + 4) = 2 (one-half x) + 2 (x + 3)

Step-by-step explanation:

Given the following :

A triangle with base x + 2, height x, and side length x + 4 - - - -

b = x + 2 ; a = x ; c = x + 4

Perimeter (P) of a triangle :

P = a + b + c

P =( x + 2) + x + (x + 4) - - - (1)

A rectangle with length of x + 3 and width of one-half x

l = x + 3 ; w = 1/2 x

Perimeter of a rectangle (P) = 2(l+w)

P = 2(x+3) + 2(1/2x)

If perimeter of each same are the same ; then;

(1) = (2)

(x + 2) + x + (x + 4) = 2(x+3) + 2(1/2x)

Answer:

B

Step-by-step explanation:

A system of linear equations includes the line that is created by the equation y = 0.5 x minus 1 and the line through the points (3, 1) and (–5, –7), shown below. On a coordinate plane, points are at (negative 5, negative 7) and (3, 1). What is the solution to the system of equations? (–6, –4) (0, –1) (0, –2) (2, 0)

Answers

Answer:

The solution of the system of equations is (x,y) = (2,0)

Step-by-step explanation:

The equation of a line through the points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is equal to:

[tex]y-y_1=m(x-x_1)[/tex]

Where [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

So, the equation of the line through the points (3, 1) and (–5, –7) is:

[tex]m=\frac{-7-1}{-5-3}=1[/tex]

[tex]y-1=1(x-3)\\y=x-3+1\\y=x-2[/tex]

Then, we have two equations, y=x-2 and y=0.5x -1 , so solving for x, we get:

x - 2 = 0.5 x - 1

x - 0.5x = 2 - 1

x = 2

Replacing x=2 in the equation y=x-2, we get:

y =2 - 2 = 0

Finally, the solution of the system of equations is (x,y) = (2,0)

Answer:The solution of the system of equations is (x,y) = (2,0)

Step-by-step explanation:

Please answer this question now

Answers

Answer:

<S = 62 degrees

Step-by-step explanation:

For this problem, you need to understand two things.  A line tangent to a circle's radius creates a 90-degree angle, and the sum of the interior angles of a triangle is 180 degrees.  With that said, let's continue.

<S + <P + <Q = 180

<S + 90 + 28 = 180

<S + 118 = 180

<S = 62

Hence, <S = 62 degrees.

Cheers.

Brahmagupta’s solution to a quadratic equation of the form ax2 + bx = c involved only one solution. Which solution would he have found for the equation 3x2 + 4x = 6?

Answers

Answer:

0.897

Step-by-step explanation:

Brahmagupta formula for quadratic equation [tex]ax^2+bx=c[/tex] is

[tex]x=\dfrac{\sqrt{4ac+b^2}-b}{2a}[/tex]

It involved only one solution.

The given equation is

[tex]3x^2+4x=6[/tex]

Here, a=3, b=4 and c=6. Put these values in the above formula.

[tex]x=\dfrac{\sqrt{4(3)(6)+(4)^2}-4}{2(3)}[/tex]

[tex]x=\dfrac{\sqrt{4(3)(6)+(4)^2}-4}{2(3)}[/tex]

[tex]x=\dfrac{\sqrt{72+16}-4}{6}[/tex]

[tex]x=\dfrac{\sqrt{88}-4}{6}[/tex]

[tex]x\approx \dfrac{5.38}{6}[/tex]

[tex]x\approx 0.897[/tex]

Therefore, the required solution is 0.897.

Use the drawing tool(s) to form the correct answer on the provided number line. Consider the functions below. Represent the interval where both functions are increasing on the number line provided.

Answers

In order to solve this problem, we will need a little more information, for example, we need to know what the functions are. Let's say the problem looks like this:

Use the drawing tool(s) to form the correct answer on the provided number line. Consider the functions below.

[tex]f(x)=|3x|-3[/tex]

and

[tex]g(x)=-x^{2}+8x-5[/tex]

Represent the interval where both functions are increasing on the number line provided.

Answer:

See attached picture

Step-by-step explanation:

Since this problem is posted on the algebra section of Brainly, I assume we will need to make use of an algebraic approach to solve this. Basically, the idea is to graph the functions and find the x-values for which both functions increas. In order to graph the functions, we will need to build a table with points for each of the functions. In order to graph the functions you need to pick the x-values you wish and evaluate them in the given functions. (See attached pictures)

Once you got the desired points, you can plot them in the coordinate axis and find the x-values for which both graphs will be increasing. If we take a close look at the graphs we can see the f(x) graph increases in the interval:

(0,∞)

and the g(x) graph increases in the interval:

(-∞,4)

so the interval in which both graphs are increasing will be the region where both intervals cross each other, which will be (0,4)

so that's the interval we draw on our number line. (see attached picture.

Answer:

see photos

Step-by-step explanation:

Plato/Edmentum

If events A and B are independent, what must be true?

P(A|B) = P(B)

P(A|B) = P(A)

P(A) = P(B) 

P(A|B) = P(B|A)

Answers

Answer:

P(A|B) = P(A)

Step-by-step explanation:

If events A and B are independent, then we have:

P(A) x P(B) = P(A⋂B)

As the conditional probability formula states:

P(A⋂B) = P(A|B) x P(B) = P(B|A) x P(A)

=> P(A) x P(B) = P(A|B) x P(B) = P(B|A) x P(A)

or

P(A) = P(A|B)

or

P(B) = P(B|A)

Answer:

B

Step-by-step explanation:

A cylinder has radius r and height h. A. How many times greater is the surface area of a cylinder when both dimensions are multiplied by a factor of 2? 3? 5? 10? B. Describe the pattern in part (a).

Answers

Answer: A. Factor 2 => 4x greater

                   Factor 3 => 9x greater

                   Factor 5 => 25x greater

Step-by-step explanation: A. A cylinder is formed by 2 circles and a rectangle in the middle. That's why surface area is given by circumference of a circle, which is the length of the rectangle times height of the rectangle, i.e.:

A = 2.π.r.h

A cylinder of radius r and height h has area:

[tex]A_{1}[/tex] = 2πrh

If multiply both dimensions by a factor of 2:

[tex]A_{2}[/tex] = 2.π.2r.2h

[tex]A_{2}[/tex] = 8πrh

Comparing [tex]A_{1}[/tex] to [tex]A_{2}[/tex] :

[tex]\frac{A_{2}}{A_{1}}[/tex] = [tex]\frac{8.\pi.rh}{2.\pi.rh}[/tex] = 4

Doubling radius and height creates a surface area of a cylinder 4 times greater.

By factor 3:

[tex]A_{3} = 2.\pi.3r.3h[/tex]

[tex]A_{3} = 18.\pi.r.h[/tex]

Comparing areas:

[tex]\frac{A_{3}}{A_{1}}[/tex] = [tex]\frac{18.\pi.r.h}{2.\pi.r.h}[/tex] = 9

Multiplying by 3, gives an area 9 times bigger.

By factor 5:

[tex]A_{5} = 2.\pi.5r.5h[/tex]

[tex]A_{5} = 50.\pi.r.h[/tex]

Comparing:

[tex]\frac{A_{5}}{A_{1}}[/tex] = [tex]\frac{50.\pi.r.h}{2.\pi.r.h}[/tex] = 25

The new area is 25 times greater.

B. By analysing how many times greater and the factor that the dimensions are multiplied, you can notice the increase in area is factor². For example, when multiplied by a factor of 2, the new area is 4 times greater.

Other Questions
Given the reaction: N2(g) +2O2(g) 2NO2(g) The forward reaction is endothermic. Determine which of the following changes would result in more reactant being produced. I. Increase NO2 II. Increase O2 III. Add a catalyst IV. Increase the temperature V. Decrease the pressure A. I and V B. II and IV C. II, III, and V D. All The diagrams show the partides of a substanceWhich statement best describes the process that the diagrams show?O A solid loses fonetic energy to become a loud and then becomes a gasO A solid sains kinetic energy to become a loud and then becomes a gasO Asas loses tonerc energy to become a loud and then becomes a solidO A gas as kinetic energy to become a loud and then becomes a solid Hi i need help please A ball is thrown straight down from the top of a 435-foot building with an initial velocity of -27 feet per second. Use the position function below for free-falling objects. s(t) = -16t^2 + v_0t + s_0 What is its velocity after 2 seconds? v(2) = -91 ft/s What is its velocity after falling 364 feet? v = 1.61 ft/s Find an equation of the parabola y = ax^2 + bx + c that passes through (0, 1) and is tangent to the line y = 5x - 5 at (1, 0). Y = 5x + 10 A rectangle is to be inscribed in a right triangle having sides of length 6 in, 8 in, and 10 in. Find the dimensions of the rectangle with greatest area assuming the rectangle is positioned as in Figure 1. Figure1 What is the answer to 2+2 * 89 - 63 + 70 Question 15 of 25What is the solution to this equation?X + 8 = -3 you are given the following functions: g(x) = x^2 + 4x + 5 and h(x) = 3x - 4 What is (g+h)(x) when 5 more than 2 lots of a number is tripled the result is 10 can someone please help me ABC issues $10 million in bonds on January 1, 2018. The bonds have a ten-year term and pay interest semiannually on June 30 and December 31 each year. Below is a partial bond amortization schedule for the bonds: Date Cash Paid Interest Expense Increase in Carrying Value Carrying Value 1/1/2018 $8,640,967 6/30/2018 $300,000 $345,639 $45,639 8,686,606 12/31/2018 300,000 347,464 47,464 8,734,070 6/30/2019 300,000 349,363 49,363 8,783,433 12/31/2019 300,000 351,337 51,337 8,834,770 What is the stated annual rate of interest on the bonds? (Hint: Be sure to provide the annual rate rather than the six month rate. (round to nearest whole percentage, just put in the number with no %) help me please and remember to double check yo answerLook at these details from a paragraph about the same topic: In Europe, wild hedgehogs are often found in grasslands, woodlands, and meadows. African pygmy hedgehogs live in savannas in Africa. Long-eared hedgehogs can be found in many areas of Asia.Choose the main idea that ties all the details together.A. In America, some wild hedgehogs can be found near parks.B. Hedgehogs build their homes a certain way.C. Hedgehogs can be found in Africa and Asia.D. Hedgehogs can be found throughout the world. Germany has a populationof 82,217,800. If there are636,854 births, 827,155deaths, 684,862immigrants, and 680,766emigrants, what is thepopulation change?A. 186,205B. 98,381C. -186,205D. -98,381 Pleaseeee helppppp Supposing we launched a very fast dart from the Space Shuttle, pointed in some direction away from any planet, so that it could travel beyond the solar system. What would it be most likely to hit first after traveling outward for a while Merchandise with a sales price of $5,000 is sold on account with terms 2/10, n/30. The journal entry to record the sale would include a A 60-Hz 220-V-rms source supplies power to a load consisting of a resistance in series with an inductance. The real power is 1500 W, and the apparent power is 4600 VA. a. Determine the value of the resistance. b. Determine the value of the inductance. Solve for x. Then, find mFDG and mGOF. A. x = 24; mFDG = 56; mGOF = 106 B. x = 29; mFDG = 66; mGOF = 126 C. x = 28; mFDG = 64; mGOF = 116 D. x = 27; mFDG = 62; mGOF = 118 The distance it takes you to stop your vehicle depends on: road condition, but not your speed. the number of vehicles in front of you. reaction of the driver, vehicle condition, wind direction, and road conditions ____________ tend to focus on the logical soundness and preciseness of ideas, rather than the ideas practical values; they tend to work in research and planning units. A. Convergers B. Divergers C. Assimilators D. Accomodators