Determine the slope of the line that contains the points (15,7) and (6, 13).

The area of the circle is more usefull than circumfrence of the circle.

Given that,
A horse is tied with a 10 -foot-long rope to a pole on a grassy field. Is the circumference of the circle or the area of the circle more useful for determining how much grass the horse has access to is to be discuss.

Area of circle is given by the pie times square of radius.

Area of circle = πr^2

here,
The circumference of the circle gives the information of the periferal boundry,
while the area of the circle gives the information about the region of grass the horse can access

Thus, the area of the circle is more usefull than circumfrence of the circle.

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Answer:

g(f(x)) = x² + 1.

Step-by-step explanation:

To evaluate g(f(x)), we need to first evaluate f(x) and then plug the result into g(x). Since f(x) = x² - 1, we have g(f(x)) = g(x² - 1). Plugging this into g(x), we get g(x² - 1) = (x² - 1) + 2. So the final result is g(f(x)) = x² + 1.

Here's a step-by-step breakdown:

Note that this is only the case if f(x) and g(x) are defined for all values of x. If either function is only defined for certain values of x, then the result of g(f(x)) will depend on the specific input value used.

Answer:

246

Step-by-step explanation:

To round the decimal, we need to look at the number in the tenths place. If it is less then 5, we round down. If it is greater or equal to 5, we round up. Since the number in the tenths place is 1, we round down, to 246.

Answer

[tex]A=52m^{2}[/tex]

Potential type of statistical error would be Type I statistical error.

What is statistical error?

The term "error" (also known as "statistical error") refers to the discrepancy between a value obtained through a data gathering procedure and the population's "actual" value. The data are less representative of the population the higher the inaccuracy. Both sampling error and non-sampling error can have an impact on data.

Given that:

two sided test of hypothesis is giving 0.05 level of significance.

and statistic resulting from the analysis was 1.23.

According to statistic result,

the results are not statistically significant because the p-value > 0.05.

So, Here we can say that it follows the Type I statistical error.

Hence, potential type of statistical error would be Type I statistical error.

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The complete statement is:

In ΔFGH, the measure of m∠F=54°, the measure of m∠G=90°, and m∠H = 36°

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

The sum of angles in a triangle is 180°

So, we have the following representation

m∠F + m∠G + m∠H = 180°

Substitute the known values in the above equation, so, we have the following representation

54 + 90 + m∠H = 180°

Evaluate the sum in the above equation

This gives

144 + m∠H = 180°

Collect the like terms

m∠H = 180 - 144°

So, we have

m∠H = 36°

Hence, the value that completes the blank is 36°

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Complete question

Fill in the gap

In ΔFGH, the measure of m∠F=54°, the measure of m∠G=90°, and m∠H = °

Translate vertex W to vertex M. Next, reflect WXY across the line containing line segment WX is MXY

The intersection of two lines, two line segments, or any suitable combination of rays, segments, and lines that results in two straight "sides" coming together at one point is known as an angle's vertex. 1. Translate vertex W to vertex M: Move point W to the right by 4 units, creating point M.

2. Reflect WXY across the line containing WX: Create a line perpendicular to WX, and reflect WXY across it. The resulting figure is MXY.

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Answer:4/4 is the answer

The Measure for the Following

m< 1= 72 degree.

m< 2= 72 degree.

m< 3= 58 degree.

Horizontal Angles (Vertically Opposite Angles) The opposing angles created by the junction of two lines are known as vertical angles or vertically opposite angles. A pair of angles that are vertically opposed to one another are always equal.

Given:

In Δ MQP and Δ OQN

<3 = 58 (Alternate Interior Angle)

Now, In Δ OQN Using Angle Sum Property

<2+ <3 + 50= 180

<2 + 58+ 50 = 180

<2 = 180 - 108

<2 = 72

and, <1 = <2 = 72  (Vertical Opposite Angle)

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The probability that a nine year old will take longer than 3 minutes to eat a donut is 0.667 .

Given that the time taken by 09 years old,

Consider that it takes 0.5 to 4 minutes inclusive for a 9-year-old to eat a donut.

Let X = Time

minutes, how long it takes a 9 year old to eat a donut.

Then X: U(0.5, 4).

The Probability Distribution Function:

P(X) = 1/4 - 0.5 = 0.2857

Cumulative Function would be:

F(x) = x -0.5 /0.5

The probability that a randomly selected 9-year-old child will eat a donut in at least 2 minutes is

    P(X ≥ 2) = 1 -F(2)

⇒ 1 - 2 -0.5/3.5

⇒ 0.8571

b) The probability that another her 9-year-old child will eat a donut in 2 minutes or more if she has eaten a donut in 3.0 minutes or more.

P(x >2 /x> 3.0)

= 0.571429/ 0.857143

= 0.6667

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(x-5)^2 + (y-9)^2 = 16

im pretty sure thats the answer as you only need the equation

Answer:( -2,3),( -5,9), (-3,11)

Step-by-step explanation:

The Value of f(-6) is -19

What is Function?

A function is an expression, rule, or law in mathematics that describes a connection between one variable (the independent variable) and another variable (the dependent variable).

Solution:

Function: f(x) = 3x - 1

To Find the value of f(-6)

We need to replace x with -6

f(-6) = 3*(-6) - 1

f(-6) = -18 - 1

f(-6) = -19

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The triangles ΔAEB and ΔCDB are congruent as per SSS criteria. The correct option is (B).

Two triangles are said to be congruent when all of their corresponding sides and angles are equal. For this relation between two triangles, there are many criteria such as SSS, SAS, ASA and RHS.

The relation between the two triangles ΔAEB and ΔCDB as per the given information can be shown as follows,

In ΔAEB and ΔCDB,

AE = CB

AB = CD

EB = BD

Since all the three corresponding sides of the triangles are equal, the triangles  ΔAEB ≅ ΔCDB by SSS criteria.

Hence, the two triangles are congruent by SSS criteria.

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Answer:19/20

Step-by-step explanation:

Answer:

2134.4

Step-by-step explanation:

You are multiplying 21.344 by 100, which means all you have to do is move the decimal point towards the left 2 to get your answer

Answer: 2134.4

Step-by-step explanation:

The reason it is this is that when 100 times 21.344 you have to take the two zeros and push the two next numbers after the decimal and put them in front of the decimal.

Number of ways to choose one red marble or one small marble will be

1,961,256.

A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Given that;

A jar holds 8 large red marbles, 6 large blue marbles, 5 small red marbles, and 4 small blue marbles.

Now,

Since, A jar holds 8 large red marbles, 6 large blue marbles, 5 small red marbles, and 4 small blue marbles.

Hence, Total number of marbles = 8 + 6 + 5 + 4

                                                  = 23

Number of red marbles = 8 + 5 = 13

And, Number of small marbles = 5 + 4 = 9

Thus, Number of ways to choose one red marble or one small marble is,

⇒ [tex]^{23} C_{13} + ^{23} C_{9}[/tex]

⇒ 23! / 13! 10!  +  23! / 9! 14!

⇒ 1,144,066 + 817,190

⇒ 1,961,256

Thus, There are 1,961,256 ways to choose one red marble or one small marble.

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The time at which the planes are at the same height is given as 6 minutes.

A linear equation can be solved by equating the LHS and RHS of the equation following some basic rules such as by adding or subtracting the same numbers on both sides and similarly, doing division and multiplication with the same numbers.

The expression for the height of the two airplanes in terms of time t is given as,

For the first airplane it is 35400 - 3300t,

And, for the second it is 2600t.

When, the two airplanes are at the same height the following equation can be written,

35400 - 3300t = 2600t

=> 35400 = 3300t + 2600t

=> 5900t = 35400

=> t = 6

Hence, both the planes are at the same height after 6 minutes.

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Lines l and m are parallel; line l will map onto line m with a 90° rotation; line l can map onto line m with a vertical line of reflection.

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Answer: x= 5 and 5=x.

Step-by-step explanation: no comment.

I hope i'm right.

good luck.

By using the concept of division, it can be calculated that

The statement given in the fourth option

Two pizzas are shared equally among zero people do not have a solution

What is division?

Division is the process by which value of single unit can be calculated from the value of multiple unit.

The number to be divided is known as dividend, the number by which the dividend is divided is the divisor, the result obtained is the quotient and the remaining part is the remainder.

There is a well known formula for division

Divisor x Quotient + Remainder = Dividend.

This is a word problem on division.

For the first option

Number of pizzas = 6

Number of person = 3

Number of pizzas each person get = 6 [tex]\div[/tex] 3 = 2

This problem has a solution.

For the second option

Number of pizzas = 3

Number of person = 2

Number of pizzas each person get = 3 [tex]\div[/tex] 2 = 1.5

This problem has a solution.

For the third option

Number of pizzas = 0

Number of person = 3

Number of pizzas each person get = 0 [tex]\div[/tex] 3 = 0

This problem has a solution.

For the fourth option

Number of pizzas = 2

Number of person = 0

Number of pizzas each person get = 2 [tex]\div[/tex] 0

Now anything divided by zero is not possible

This problem do not have a solution.

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The experiment type of research study is being used.

What is an experiment ?

A method used in a controlled environment to find an unknown effect or law, test or establish a hypothesis, or provide an example of an established law

In the scenario described, individuals are chosen at random to participate in a new intervention, which appears to be an example of an experiment.

As opposed to option A, where the participants are being observed in their natural context, this is not a naturalistic observation example.

The lack of a relationship means that it is neither a correlation research, as in option C, nor a survey, as in option D.

Option B is the appropriate response, thus.

So, the experiment  type of research study is being used.

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The city that she should predict that the home is in is given as follows:

Smavile.

We are given the linear regression equations for each town, which predicts the value of a home with a square feet.

Then the prediction of the city is given by the one whose prediction for a input of 2800 square feet gives the least residual relative to 280, that is, the value that has the least absolute difference relative to 280.

For Smaville, the equation is given as follows:

p = 150 + 0.041a.

Hence the estimate of the cost for a estate with 2800 square feet is of:

p = 150 + 0.041(2800) = 264.8.

For Fancyville, the equation is given as follows:

p = 250 + 0.198a

Hence the estimate of the cost for a estate with 2800 square feet is of:

p = 250 + 0.198(2800) = 804.4.

Smavile has the least residual, hence is the prediction.

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Answer: Use math x way it is very helpful for problems like these. The answer is attached.

Step-by-step explanation:

The options that is not a key feature of the piecewise function h(x), defined as x² - 5 for 0 ≤ x ≤ 3, and -log₃x for x > 3 is the option;

A piecewise function is a function that maps the input variable with a different definition, depending on the interval of the input variable.

The piecewise function is presented as follows;

h(x) = x² - 5 for 0 ≤ x ≤ 3

h(x) = log₃x for x > 3

The domain of the function, f(x) which is the set of the x-values of the function is therefore; 0 ≤ x ≤ 3, and x > 3

Therefore; The domain of the function is 0 ≤ x < ∞, which in interval notation is; [0, ∞)

The range of the function x² - 5 is -5 ≤ x ≤ 4

The range of the function -log₃x, where x > 3 is -∞ < h(x) < -1

The range in interval notation is therefore; (-∞, 4]

Therefore, the range of h(x) is not (-∞, ∞)

The y-intercept is the point the graph intersects the y-axis, and where x is zero, which indicates;

The y-intercept is the point h(0) = 0³ - 5 = -5

Therefore, the y-intercept is the point (0, -5)

The end behavior of the function, h(x) is as x → ∞, -log₃x → -∞

Therefore, the option that is not a key feature of the function f(x) is the option; The range of h(x) is (-∞, ∞)

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The total cost of the engagement ring is $10,975. The sales tax is calculated as follows: $10,000 x 0.0975 = $975.

A sales tax is a type of consumption tax that local or state governments apply on the sale of products or services that consumers pay for when they make a purchase. When a company has a link to the jurisdiction in some way, it is responsible for collecting sales tax and remitting payment to the government.

It is only imposed and paid when the taxable supply is produced while engaging in a "taxable activity". Taxes should be based on the value of the goods or service. Because of the way the sales tax is structured, consumers are required to bear the majority of the tax burden. Because sales tax is an indirect tax, this is true.

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Based on his deductible and coinsurance cap, the amount that Barry will pay is $4,560.

Barry will pay x amount.

Barry will be responsible for covering the entire $1,200 deductible. The remaining costs will subsequently be split between him and the insurer in a ratio of 20% to 80%, although he will not be required to pay more than $5,000.

He will consequently pay the following total out of pocket:

= Deductible + ( 20% x (Medical expenses - deductible)

Solving gives:

= 1,200 + ( 20% x (18,000 - 1,200))

= $4,560

He will pay $4,560 in total.

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