For what values of r will the area of the shaded region be greater that or equal to 12 square units? Write your answer as an inequality.

Here k is 4 and the table represent a Proportions relationship, for the linear equation x = yk

A proportional relationship means that two or more things are directly proportional, or that the quantities increase or decrease according to equivalent ratios. We can state this proportional relationship with the formula, y = kx. Y and x here are the quantities that are proportional to each other.

We say that two variables are proportional if they can be written as y=kx y = k x , where k is the constant of proportionality. If y and x are proportional, then for any pair of x and y , the ratio yx=k y x = k should be the same

The following characteristics are true of the graph of all proportional relationships. The graph is linear. The line of the graph passes through the origin. The slope of the line is the constant of proportionality.

Let independent variable be x while dependent variable be y

Here we see that for every variable of x, y is 1/4 times x, so we have the linear equation,

x = y/4

With the line the graph forms is (see attachment)

As, Proportions relationship is  y=kx or x = y/k

Here, k is 4 and the table represent a Proportions relationship.

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In Δ AMG the definition, property, postulate, or theorem that justifies each statement are given as follows -

5. Option C: Whole Greater Than Its Part Property.

6. Option B: Exterior Angle Inequality Theorem.

7. Option E: If Unequal Sides, then Unequal Angles.

What is a line segment?

A line segment in geometry has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a line that links two places. The difference between a line and a line segment is that a line has no endpoints and can go on forever in either direction.

Line segment AD is given by the combination of segments AM and MD, hence it's length is given by:

AD = AM + MD.

Line segment length's are never negative nor zero, hence -

AD > AM.

AD > MD.

Therefore, whole is grater than part.

The exterior angle inequality theorem states that the measure of any of the exterior angles of a triangle is greater than either of the opposite angles, hence -

m∠DMG > m∠A.

m∠DMG > m∠G.

Therefore, exterior angle inequality theorem is shown.

It is given that the length of line segment AM is less than the length of line segment AG.

Applying the law of sines, it is seen that -

AM/sin G = AG/sin M

AG = AM sin M / sin G

Since AG < AM, sin(M) < sin(G) and m∠AGM < m∠AMG.

Therefore, this shows that if unequal sides, then unequal angles.

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Answer:

15%

Step-by-step explanation:

The answer is the answer.

When the center angle is 60 degrees, the arc length is measured in 1.047 units.

An arc is any smooth curve that connects two locations. The length of an arc is referred to as its arc length. A graph arc is an ordered pair of neighboring vertices in a graph. An arc is defined as any segment (other than the complete curve) of a circle's circumference. An "arc" is a smooth curve that connects two points in mathematics. In general, an arc is a section of a circle. It is essentially a portion of a circle's circumference. An arc is a kind of curve.

Here,

angle=60°

in triangle BCD,

cos 60=CB/DB

DB= 2 units

radius=1 unit

arc length=2πr*(θ/360)

=2*3.14*1*60/360

=1.047 units

The measure of arc length when central angle is 60 degree is given by 1.047 units.

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Answer:

7 child tickets

14   adult tickets

Step-by-step explanation:

Let a = the number of adult tickets

Let c = the number of child tickets

16a + 16c + 672

2c = a  Substitute 2c for a

15a + 16c = 672

16(2a) + 16c = 672

32a + 16c = 672  Combine like terms

48a = 672  Divide both sides by 48

a = 14

2c = a

2c = 14  Divide both sides by 2

c = 7                                                                                                  

Tyler's current Slugging Percentage is 546 and  current Batting Average is 192.

Slugging percentage is a statistic used in baseball and softball to measure a batter's total number of bases per at bat. It is calculated by dividing the total number of bases earned by the number of at-bats. This statistic is often used to compare batters since it takes into account the number of bases earned in addition to the number of hits. Slugging percentage is an important statistic to consider when evaluating batters since it provides an overall picture of how well a batter is performing. Slugging percentage is usually expressed as a decimal or a percentage, with a higher percentage indicating better performance.

Tyler's current Slugging Percentage is .546. This is calculated by adding the total number of bases earned (74 + 2*13 + 3*11 + 4*4 = 194) and dividing that by the total number of at-bats (383).

Tyler's current Batting Average is .192. This is calculated by dividing the total number of hits (74 + 13 + 11 + 4 = 102) by the total number of at-bats (383).

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Answer: x = -2.

X is negative 2.

Solving an equation with variables on both sides:

1. expand to get rid of the parenthesis

[tex]4x+5x-2=-16+2x[/tex]

2. combine like terms

[tex]9x-2=-16+2x[/tex]

3.  use inverse operations to get variable terms on one side and the integer term on the other side

[tex]9x-2x-2+2=-16+2x-2x+2[/tex]

4. combine like terms

[tex]7x=-14[/tex]

5. isolate for x

[tex]x=\frac{-14}{7}[/tex]

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

The statement can be proven using mathematical induction. Let S be a non-empty finite set of positive integers.

Base case: If n = 1, then the only element in S is the least element.

Inductive step: Assume that the statement holds for all sets S of size n. Now, consider a set S of size n + 1. If a is the least element of S, then the set S' = S \ {a} has size n and, by the induction hypothesis, contains a least element b. Since a is the least element of S, it follows that b ≤ a. Then, either a = b or a < b.

Therefore, in any case, S contains at least element. This completes the proof by induction.

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Answer:

Dentist counted to few days.

Step-by-step explanation:

Answer:

im sorry bro i

Step-by-step explanation:

i just need points

Answer:

$630

Step-by-step explanation:

This problem can be solved using linear programming. Let x be the number of 5-oz containers and y be the number of 10-oz containers. The constraints are:

x + y = 55 (total number of containers)

5x + 10y = 400 (total amount of cheese in ounces)

x >= 0, y >= 0 (containers must be non-negative)

The objective is to maximize the revenue, which is given by 9x + 17y.

Using a linear programming solver, we find that the maximum revenue is obtained when x = 40 and y = 15. The maximum revenue is 9x + 17y = 9 * 40 + 17 * 15 = $630.

So, the deli owner should sell 40 5-oz containers and 15 10-oz containers to maximize his revenue, which is $630.

The mean of the sampling distribution of p is 0.45, (b) the standard deviation of p is 0.02, (c) yes, the Normal approximation can be used, and (d) the probability that more than half of the sample is in favour is 2.2523.

A) The mean of the sampling distribution of p is equal to the population proportion who favour giving vouchers to parents, which is 0.45.

B) The standard deviation of p can be calculated using the formula:

σ = √(p(1-p) / n)

where p = 0.45 and n = 500.

The standard deviation of p is approximately 0.02. This value represents the variability of the proportion of adults in samples of size n = 500 who favour the idea.

C) In order to use the Normal approximation for the distribution of p, the sample size n must be large enough such that np ≥ 10 and n(1-p) ≥ 10. For this problem, n = 500, p = 0.45, np = 500 * 0.45 = 225, and n(1-p) = 500 * (1-0.45) = 275, which are both larger than 10, so the Normal approximation can be used.

D) The probability that more than half of the sample is in favour can be found by subtracting the area under the standard normal curve to the right of z = 0.5 from 1.

z = (p - 0.45)/0.02

= (0.5 - 0.45)/0.02

= 2.2523

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Answer: x = 8 and YZ = 19

Step-by-step explanation:

mb i focused on the x between a and y and i forgot the x they were talking about was the x in the equations..

since its a bisector, we know that az = yz therefore 2x + 3 = 3x - 5

2x + 3 = 3x - 5

2x + 8 = 3x

8 = x

now we know the value of x, we can plug it into the equation for yz

3(8) - 5

24 - 5

19

therefore, x = 8 and yz = 19

Answer:

The scale of a map tells you the relationship between the distance on the map and the actual distance in real life. In this case, the scale of the map is 1 inch : 6 miles, which means that 1 inch on the map represents 6 miles in real life.

To find out how many inches on the map 78 miles represents, you can use the following formula:

distance on the map = distance in real life / scale

So in this case:

distance on the map = 78 miles / 6 miles/inch

distance on the map = 78/6 inches

So 78 miles from the airport will be 13 inches on the map.

The equation for the population after x years can be represented using  P(x) = 158,260 * (1 + 0.06)^x

From the question, we have the following parameters that can be used in our computation:

Initial, a = 158260

Rate, r = 6%

The function is represented as

P(x) = a(1 + r)^x

This means that

P(x) = 158,260 * (1 + 0.06)^x

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The balance after 2 years is $318.27

what is compound interest?

Interest that is added to a loan or deposit sum is known as compound interest. In our daily lives, it is the notion that is employed the most frequently. Compound interest is calculated for a sum using the principal and interest accrued over time. Compound interest and simple interest differ primarily in this way.

[tex]A=P{(1 +\frac{r}{n})^{nt}[/tex]

A = total amount

P = principal or amount of money deposited,

r = annual interest rate

n = number of times compounded per year

t = time in years

[tex]A=300{(1 +\frac{0.03}{1})^{1(2)}[/tex]

A=300(1.003)² = 318.27

The balance after 2 years is $318.27

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the value of the variable in circle N is: 19.60 unit.

The formula for a circle is (x - h)² + (y - k)² = r², where r is the radius and (x, y) is the circle's centre. In the circle graph, the variables h and k stand for changes in the horizontal or vertical axis. The radius, which is often denoted by the variable "r," is the distance between a circle's centre and its edge. The definition of a circle is the collection of all points that are equally spaced apart from a given point; this fixed point serves as the circle's centre, and the radius of the circle is the separation between the sets of points from the centre.

Given that,

the variable becomes = x

16(16 + 8) = x²

or, x² = √384

or, x = 19.60 unit

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The values of the variables are b = 90, c = 80 and d = 100

From the question, we have the following parameters that can be used in our computation:

The parallelogram

Using the properties of parallelogram, we have the following equations

b - 10 + b + 10 = 180

d = b + 10

c = b - 10

Solving the first equation, we have

2b = 180

So, we have

b = 90

This means that

d = 90 + 10 = 100

c = 90 - 10 = 80

Hence, the value of d is 100 degrees

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On the final, the score that Sharon would need to have in order to have the average score of 80 is 3.

Let's call the score Sharon needs on the final exam "x".

The total of all 6 test scores is: 77 + 84 + 72 + 65 + 96 + x

The average of all 6 test scores is: (77 + 84 + 72 + 65 + 96 + x) / 6 = 80

Expanding and solving for x, we have:

77 + 84 + 72 + 65 + 96 + x = 80 * 6

477 + x = 480

Subtracting 477 from both sides, we get:

x = 480 - 477

x = 3

So, Sharon needs a score of 3 on the final exam in order to have an average score of 80.

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The graph that shows the solution to the system of linear equations is the coordinate plane with the lines that pass through the points (0, 0), and (2, 1) and another line (0, 4), and (-1, 1).

What is the system of linear equations?

A system of linear equations is a set of two or more linear equations involving the same variables. Here, linear equations can be defined as the equations of the first order, i.e., the highest power of the variable is 1. Linear equations can have one variable, two variables, or three variables.

The graph that shows the solution to the system of linear equations is the coordinate plane with one line that passes through the points 0, 0, and 2, 1 and another line that passes through the points 0, 4, and -1, 1.

When two lines intersect, their point of intersection is the solution to the system of linear equations.

In this case, the point of intersection is (2, 1) which means x = 2 and y = 1.

Hence, The graph that shows the solution to the system of linear equations is the coordinate plane with the lines that pass through the points (0, 0), and (2, 1) and another line (0, 4), and (-1, 1).

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The unit cost for Cinema A is $5.50 per pass and the unit cost for Cinema B is $5.80 per pass.

To find the unit cost of each movie pack, we need to divide the total cost by the number of passes in each pack.

The unit cost for Cinema A's twelve-pack can be calculated as follows:

unit cost for Cinema A = $66 / 12 passes = $5.50 per pass

The unit cost for Cinema B's five-pack can be calculated as follows:

unit cost for Cinema B = $29 / 5 passes = $5.80 per pass

So, the unit cost for Cinema A is $5.50 per pass and the unit cost for Cinema B is $5.80 per pass.

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The variables in the graph are temperature of the water (y-axis) and heating time (x-axis).

At various points on the graph, the relationship between the two variables can be seen as a linear increase in temperature with a corresponding increase in heating time. That is, as the heating time increases, the temperature of the water also increases.

The graph shows the relationship between two variables, heating time and temperature of heated water. The x-axis, or independent variable, represents the heating time, while the y-axis, or dependent variable, records the temperature of the heated water.

At the start of the graph, the heating time is 0 minutes and the temperature of the heated water is also 0 degrees Celsius. As the heating time increases, the temperature of the heated water gradually increases. At 10 minutes, the temperature of the heated water is approximately 20 degrees Celsius.

At 20 minutes, the temperature of the heated water is approximately 50 degrees Celsius. At 30 minutes, the temperature of the heated water is approximately 80 degrees Celsius. At 40 minutes, the temperature of the heated water is approximately 100 degrees Celsius and at 50 minutes, the temperature of the heated water is approximately 120 degrees Celsius.

The relationship between the two variables is linear; as the heating time increases, the temperature of the heated water also increases. The graph shows that the temperature of the heated water increases by approximately 20 degrees Celsius for every 10 minutes of heating time.

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Answer:

150

Step-by-step explanation:

If the length of the living room is 10, and the width is 15, then we can use the equation:

10 × 15 = 150

Therefore, the length × width of the living room is 150.

According to the problem the missing side length is 7 yd.

Length is a concept used in various contexts to measure the size of an object or distance between two points. In geometry, length refers to the longest dimension of an object. In physics, length is a fundamental quantity that is used to measure the distance between two points. It is usually expressed in units such as meters, centimeters, and millimeters.

The missing side length is 7 yd. This is because the shape formed by these sides is a right triangle, and the Pythagorean theorem can be used to calculate the length of the missing side. The equation is [tex]a^{2} +b^{2} =c^{2}[/tex], where a and b are the two known side lengths and c is the missing side length. In this case, a = 6 yd and b = 8 yd, so [tex]c^{2} = 6^{2} +8^{2} =100[/tex]. The square root of 100 is 10, so c = 10 yd.

However, since the question asks for the missing side length in yards, the answer is 7 yd (10 yd divided by 1.4 to convert to yd).

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The expression that represents the sum of ( -4x - 7 ) and ( 6x - 4 ) in simplest terms is 2x - 11

Given the expressions in the question;

( -4x - 7 ) and ( 6x - 4 )

To find the sum of the two expression, replace the 'and' with '+' and simplify.

( -4x - 7 ) and ( 6x - 4 )

( -4x - 7 ) + ( 6x - 4 )

-4x - 7 + 6x - 4

Collect like terms

-4x + 6x - 4  - 7

Add -4x and 6x

2x - 4  - 7

Add -4 and -7

2x - 4  - 7

2x - 11

Therefore, the simplified form of the expression is 2x - 11

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Answer:

i believe James is 7

Step-by-step explanation:

so, James (j) is 2x as old as Zack (z) so one way to get to 20 is by adding 5, 4 times, that leaves the extra 3 which we add to James's age and there for making Zach 5 years old.  

5 < 7

The variable cost per unit produced and sold is, $11.50

In mathematics, Average is a value which we calculate by dividing the sum of values of all the data-set by the number of data-sets.

Average = sum of values of all the data-set/number of data-sets

The variable cost per unit produced and sold can be calculated by summing up the costs that vary with changes in production volume, and dividing the total by the number of units produced and sold.

For Martinez Company, the variable costs per unit are:

Direct materials = $ 6.00

Direct labor = $ 3.50

Variable manufacturing overhead  = $ 1.50

Variable administrative expense = $ 0.50

Total variable cost per unit = $6.00 + $3.50 + $1.50 + $0.50

                                             = $11.50

So, if 8,000 units are produced and sold, the variable cost per unit produced and sold would be $11.50.

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The number of girls in the next 200 girls surveyed that would choose their favorite sport as bowling are 8 girls.

We must divide the value by the entire value to find the percentage, and then multiply the resulting number by 100.

Given that 300 girls were asked to name their favorite sport. 12 of the girls named bowling as their favorite.

The percentage of girls that selected the sport is thus:

12/ 300 (100) = 4%

For the next 200 girls, calculate the 4% of the number to get the number of girls who like bowling:

200 (4%) = N

N = (200)(4/100)

N = 8

Hence, the number of girls in the next 200 girls surveyed that would choose their favorite sport as bowling are 8 girls.

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