Please Help Quickly Hurry ASAP This is Geometry

What is the area of this figure?

Answer ___ units²

The probability that the sum of two rolls is 9 given that there is at least one 6 rolled is 1/11 or approximately 0.09. To see why, we can use conditional probability. Let A be the event that there is at least one 6 rolled, and let B be the event that the sum of two rolls is 9. We want to find P(B|A), the probability of B given A.

First, let's find P(A), the probability of rolling at least one 6. The only way to not roll a 6 is to roll two non-6 numbers, which has a probability of (5/6)*(5/6) = 25/36. So the probability of rolling at least one 6 is 1 - 25/36 = 11/36.

Next, let's find P(B and A), the probability of rolling a 9 and at least one 6. There are four ways to roll a 9: (3,6), (4,5), (5,4), and (6,3). In each case, one of the dice is a 6, so the probability of rolling a 9 and at least one 6 is 4/36.

Finally, we can use the formula

\(P(B|A) = P(B and A) / P(A)\)

to find the desired probability:

\(P(B|A) = P(B and A) / P(A)\) = (4/36) / (11/36) = 4/11

So the probability that the sum of two rolls is 9 given that there is at least one 6 rolled is 4/11 or approximately 0.09.

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Answer:

-33

Step-by-step explanation:

It says that u = 5

So, the absolute value of ∣5∣ is 5

-17(5) + 52

-85 + 52

-33

The price per unit that will yield maximum revenue is $67.04.

In order to find the price per unit that will yield maximum revenue, we have to follow the below-given steps:

Step 1: The revenue function for x units of a product is

R(x) = x * P(x),

where P(x) is the price per unit of the product.

Step 2: The demand function is

D(x) = 170e^(-0.04x)

Step 3: We are given that the 0 ≤ x ≤ 55, it means that we only need to consider this domain. Also, the price per unit of the product is unknown. Let's take it as P(x). Hence, the revenue function will be:

R(x) = P(x) * xR(x) = x * P(x)

Step 4: We need to find the price per unit that will yield maximum revenue. In order to do that, we have to differentiate the revenue function with respect to x and find its critical point. Let's differentiate the revenue function.

R'(x) = P(x) + x * P'(x)

Step 5: Now we will replace P(x) with D(x) / x from the demand function to obtain a function that depends on x only.

This will give us R(x) = x * (D(x) / x).

Simplifying this expression, we get R(x) = D(x).

Let's write it. R(x) = D(x)R'(x) = D'(x)

Step 6: Differentiate D(x) with respect to x, we get:

D'(x) = -6.8e^(-0.04x)

Step 7: To find the critical point of R(x), we will equate R'(x) to zero and solve for x.

R'(x) = 0D(x) + x * D'(x) = 0

Substitute D(x) and D'(x)D(x) + x * D'(x) = 170e^(-0.04x) - 6.8x * e^(-0.04x) = 0

Divide both sides by e^(-0.04x)x = 25

The critical point of R(x) is 25. It means that if the company sells 25 units of the product, then the company will receive maximum revenue.

Step 8: We need to find the price per unit that will yield maximum revenue. Let's substitute x = 25 in the demand function to find the price per unit of the product.

D(25) = 170e^(-0.04*25) = 67.04

Therefore, the price per unit that will yield maximum revenue is $67.04.

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Answer:

23,154* 3/4 >23,164

Step-by-step explanation:

Is this what you need

If not, then I'm sorry. :(

Answer:

3(3+4n)

Step-by-step explanation:

3x3=9

3x4=12

so, gcf is 3

The student that will receive the scholarship when the Borda count method is used for voting would be Carlos . that is option C.

For Andy:

The first vote = 5

The second vote=5

The third vote =4

The fourth vote = 6

Total vote = 5+5+4+6= 20

For Brian;

The first vote = 4

The second vote=5

The third vote =5

The fourth vote = 5

Total vote = 20

For Carlos;

The first vote = 6

The second vote=5

The third vote =5

The fourth vote = 4

Total votes= 20

For Dominica;

The first vote = 5

The second vote=4

The third vote =6

The fourth vote = 5

Total number of votes = 20

Since the Borda count method is used, the student that will get the scholarship is Carlos because he had the highest vote in the last votes when compared with others.

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Answer:

Option D. 10,779 feet

Step-by-step explanation:

Given from the figure attached,

PT = OB = 7000 ft

PB = OT = x feet

and angle of elevation (∠POT) = 30°

By applying Tan rule in the triangle POT,

tan33° = \(\frac{\text{Opposite side}}{\text{Adjacent side}}\) = \(\frac{PT}{OT}\)

tan33° = \(\frac{7000}{x}\)

x = \(\frac{7000}{\text{tan}33}\)

x = 10779 feet

Therefore, distance between the bird (B) and plane (P) is 10,779 feet.

Option D. will be the answer.

Answer:

10,779 feet

Step-by-step explanation:

I took the test.

Using cos 2A formula, cos α = ±√(1 + cos 2α)/2 can be derived.

Starting with the double angle formula for cosine, which is:

\(cos 2A = cos^2A - sin^2A\)

We can rewrite this equation as:

\(cos^2A = cos 2A + sin^2A\)

Adding 1/2 to both sides, we get:

\(cos^2A + 1/2 = (cos 2A + sin^2A) + 1/2\)

Using the identity \(sin^2A + cos^2A\) = 1, we can simplify the right-hand side to:

\(cos^2A + 1/2\)= cos 2A+1/2

Now, we can take the square root of both sides to get:

\(cos A = ±√[(cos^2A + 1/2)] = ±√[(1 + cos 2A)/2]\)

This shows that cos α can be expressed in terms of cos 2α using the double angle formula for cosine. Specifically, cos α is equal to the square root of one plus cos 2α, divided by two, with a positive or negative sign depending on the quadrant in which α lies.

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Hi ~

︵‿︵‿︵‿︵︵‿︵‿︵‿︵︵‿︵‿︵‿︵︵‿︵‿︵‿︵︵‿︵‿︵

-14/64

Divide the numbers: \(\bold{14}\) ÷ \(\bold{64 = 0.21875}\)

\(\bold{= -0.21875}\)

Hope It Helps...

\(\textsc{A \: n \: s \: w \: e \: r:}\)

TheAestheticGirl

The item which is closest in size to one mole of gas at STP is C) A microwave

A mole is the quantity of matter contained in a body.

We know that at STP the volume of gas occupied by one mole of a gas at STP is 22.4 dm³.

Now, we have 4 items.

Let us assume that each item is a cube. Also, since 22.4 dm³ is the volume of the cube, its length is

L = ∛22.4 dm³

=  ∛(22.4 × 10³) cm³

= 28.2 cm

So, ithe item that is comparable to this length is the microwave.

So, the item is C. A microwave

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Answer:

People: 75 hope this helps ;)

Step-by-step explanation:

So, we first see that there is a movie theatre that can hold 125 people and it is 2/5 full, so we would do 2/5 x 125 = 50 then we would do 125 - 50 = 75

The area of the parcel of land is 226934.799 square feet.

Given:

a triangular parcel of land has sides of lengths 590 feet, 980 feet and 1423 feet.

a).

Let a = 590 , b = 980, c = 1423  lengths

s = semi-perimeter

= 1/2(a+b+c)

= 1/2(590+980+1423)

= 1496.5

s-a = 1496.5-590

= 906.5

s-b = 1496.5-980

=516.5

s-c = 1496.5-1423

= 73.5

Heron's formula for area:

A = \(\sqrt{(s(s-a)(s-b)(s-c))}\)

= √1496.5(906.5)(516.5)(73.5)

= √51499402997.4

≈ 226934.799

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The bn is the absolute value of this term: bn = |a_n| = (2n / (n+3))

First, we can rearrange the terms in the series to group the positive and negative terms together:

− 2 / 4 + 4 / 5 − 6 / 6 + 8 / 7 − 10 / 8 + ...

= (-2/4 + 4/5 - 6/6 + 8/7 - 10/8 + ...) + (0 + 2/4 + 0 - 4/5 + 0 + 6/6 - 0 - 8/7 + 0 + 10/8 - ...)

= -1/2 + (2/4 - 4/5 + 6/6 - 8/7 + 10/8 - ...)

Now we can focus on the series inside the parentheses. We can see that the numerators are alternating, with each term increasing by 2: 2, -4, 6, -8, 10, ....

This suggests we can use the alternating series test to determine convergence.

The alternating series test tells us that if a series has alternating terms that decrease in absolute value and approach 0, then the series converges. In this case, the absolute values of the numerators are increasing, but the denominators are also increasing, so we need to look at the ratio of consecutive terms:

|a_{n+1} / a_n| = |(n+1) * 2 / ((-1)^n * n)|

As n gets larger, the numerator increases while the denominator does not, so the ratio approaches infinity. This means the terms do not approach 0, so the alternating series test does not apply.

Instead, we can take the limit of the absolute value of the terms:

\(lim n- > inf |a_n| / n = lim n- > inf (2n / n^2) = 0\)

Since the limit of the absolute value of the terms approaches 0, and the terms alternate signs, we can use the alternating series test to conclude that the series converges.

To find bn, we need to identify the general term of the series, which is:

\(a_n = (-1)^(n+1) * 2n / (n+3)\)

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Answer: C (x = 4/3)

Step-by-step explanation: Solve for x by simplifying both sides of the equation, then isolating the variable.

Other forms of the answer: x = 4/3 in improper fraction form, 1.3  ( 3 as the repeating decimal/ recurring decimal) in decimal form, and 1 1/3 in decimal form.

Explanation:

It might represent the relative position of an object that has some initial velocity and constant acceleration. For whatever reason, the time period of interest is 1 to 6 seconds.

Answer:

AAS

Step-by-step explanation:

the ansewer

Answer:

Step-by-step explanation:

x^2 + 8x +15 is the area

x+5 is the length

x+3 is the width

(x+5)(x+3)=

x^2 + 3x +5x +15

x^2 +8x + 15

1. The area of shaded portion is 75m².

2. The area of shaded portion is 104 m².

3. The area of shaded portion is 284 m²

Area of the square = 10 × 10 = 100m²

Area of unshaded portion= 5 × 5 = 25 m²

therefore, area of shaded portion = 100- 25 = 75m²

2. Area of rectangle = 30 × 19= 480m²

area of unshaded portion= 28 × 17 = 376m²

therefore, area of shaded portion= 480 - 376 = 104 m²

3. Area of rectangle= 60 × 40 = 2400m²

area of unshaded portion= 56 × 36 = 2016m²

therefore, area of shaded portion= 2400- 2016 = 284 m²

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A coterminal angle is an angle that has the same initial side and terminal side as a given angle. The difference between the angle and the coterminal angle is a multiple of 360 degrees.

The following steps can be used to find a coterminal angle between 0 and 360 degrees:

Step 1: Identify the given angle. Let's assume that the given angle is 100 degrees.

Step 2: Add or subtract multiples of 360 degrees to the given angle to obtain a new angle that has the same initial and terminal sides. To obtain the angle that is between 0 and 360 degrees, add or subtract 360 degrees from the angle until the result is between 0 and 360 degrees.There are two ways to do this.

The first method is to add or subtract multiples of 360 until the result is between 0 and 360 degrees. The second method is to divide the given angle by 360 degrees and then multiply the quotient by 360 degrees.

The first method:Subtract 360 degrees from 100 degrees to get -260 degrees. Add 360 degrees to -260 degrees to get 100 degrees, which is between 0 and 360 degrees. Therefore, 100 degrees and 460 degrees are coterminal angles between 0 and 360 degrees.

The second method:Divide 100 degrees by 360 degrees to get a quotient of 0.27777777778. Multiply 0.27777777778 by 360 degrees to obtain 100 degrees, which is between 0 and 360 degrees.

Therefore, 100 degrees and 460 degrees are coterminal angles between 0 and 360 degrees.

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The residual standard error is a useful measure of the precision and accuracy of a regression model's predictions, and it helps to assess the goodness of fit of the model.

The measure that indicates how precise a prediction of y is based on x or how inaccurate the prediction might be is called the residual standard error (RSE).

RSE is a measure of the variation or dispersion of the errors (or residuals) in a regression model. It is calculated by taking the square root of the sum of the squared residuals divided by the degrees of freedom.

The RSE provides an estimate of the standard deviation of the errors, and it is expressed in the same units as the response variable y.

In other words, the RSE measures the average distance that the observed values deviate from the predicted values in the regression model.

A smaller RSE indicates that the model is better at predicting the response variable, while a larger RSE indicates that the model has higher prediction error and may not be as accurate.

In summary, the residual standard error is a useful measure of the precision and accuracy of a regression model's predictions, and it helps to assess the goodness of fit of the model.

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The measure that indicates how precise a prediction of y is based on x, or conversely, how inaccurate the prediction might be, is called the residual standard error (RSE). The RSE is a measure of the average distance that the observed values fall from the predicted values, and it is typically expressed in the same units as the response variable (y). A smaller RSE indicates a better fit of the model to the data, and a larger RSE indicates a poorer fit.

The expected time for completion of Activity "X" on a PERT chart is 9 hours.

PERT analysis is a project management technique that is used to evaluate and analyze the tasks involved in finishing a project. It makes use of 3 duration estimates: optimistic, pessimistic, and most likely times to calculate the expected duration of each activity. These estimates are used to analyze the critical path, slack time, and schedule of the project.

Let's calculate the expected time for completion of Activity "X" on a PERT chart using the given estimates:

Optimistic time (O) = 6 hours

Most likely time (M) = 9 hours

Pessimistic time (P) = 12 hours

Expected time (TE) = [O + 4M + P] ÷ 6= [6 + 4(9) + 12] ÷ 6= [6 + 36 + 12] ÷ 6= 54 ÷ 6= 9

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The vertex of the parabola represented by the equation -3x² - 12x - 23 = y - 8 is (-2, -63).

To find the vertex of the parabola using completing the square, we can rewrite the equation in the form:

\(y = a(x - h)^2 + k\)

Where (h, k) represents the coordinates of the vertex.

Let's complete the square for the given equation:

\(-3x^2 - 12x - 23 = y - 8\)

First, we'll move the constant term to the right side of the equation:

\(-3x^2 - 12x = y - 8 + 23\\-3x^2 - 12x = y + 15\)

Next, we'll factor out the coefficient of \(x^2 (-3)\) from the first two terms:

\(-3(x^2 + 4x) = y + 15\)

To complete the square, we need to take half of the coefficient of x (4), square it (16), and add it inside the parentheses. However, since we added it inside the parentheses, we need to subtract 16 * (-3) from the right side to maintain the equality:

\(-3(x^2 + 4x + 4) = y + 15 - 16 * (-3)\\-3(x + 2)^2 = y + 15 + 48\\-3(x + 2)^2 = y + 63\\\)

Now, we can rewrite the equation in the vertex form:

\(y = -3(x + 2)^2 - 63\)

Comparing this with the vertex form equation: \(y = a(x - h)^2 + k\), we can see that the vertex is at the point (-2, -63).

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The vertex of the parabola is (-2, -19).

To find the vertex of the parabola given by the equation \(-3x^2 - 12x - 23 = y - 8\), we can complete the square. The general form of a quadratic equation is \(y = ax^2 + bx + c,\) where (h, k) represents the vertex of the parabola.

First, let's rewrite the equation in the standard form:

\(-3x^2 - 12x + 15 = y.\)

Now, we can complete the square. To do this, we need to take half of the coefficient of x (-12) and square it: \((-12/2)^2 = 36.\)

Add 36 to both sides of the equation: \(-3x^2 - 12x + 15 + 36 = y + 36.\)

Simplify: \(-3x^2 - 12x + 51 = y + 36.\)

Now, we can rewrite the equation in vertex form by factoring the left side: \(-3(x^2 + 4x - 17) = y + 36.\)

Next, we complete the square within the parentheses:

\((x + 2)^2 = -3(y + 19).\)

Now, the equation is in the form \((x - h)^2 = 4p(y - k)\), where (h, k) represents the vertex. In this case, the vertex is (-2, -19).

Overall, the process involves rewriting the equation in standard form, completing the square, and then rearranging the equation to match the vertex form. This allows us to identify the vertex of the parabola.

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There are no solutions to linear equations of the following equation  

5-4x-7-10x=-8x-4-6x-10, because if they have the same variable term but different constant values on opposite sides of the equation.

A linear equation can be generated by equating a linear polynomial over some field with zero coefficients. The values that, when substituted for the unknowns, make the equality true are the solutions of such an equation.

The phrase linear equation is frequently used to refer to this specific scenario, in which the variable is appropriately referred to as the unknown.

Each solution in the case of two variables can be regarded as the Cartesian coordinates of a point on the Euclidean plane. A linear equation's solutions form a line in the Euclidean plane, and every line can be seen as a set.

Given equation is ,

5-4x-7-10x=-8x-4-6x-10

-14x-2=-14x-14

If a linear equation has the same variable term but different constant values on opposite sides of the equation, it has no solutions.

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Answer:

I think it’s (4,1)

If the class consists of 10 juniors and 30 seniors, then the probability that a randomly selected student from the class is junior is 0.25.

There are 10 juniors and 30 seniors in the class,

So, the total number of students in the class is = 10 + 30 = 40.

The probability of randomly selecting a junior is = the number of juniors divided by the total number of students;

⇒ Probability of selecting a junior = (number of juniors)/(total number of students);

= 10 / 40

= 1/4

= 0.25

Therefore, the probability of selecting a junior is 0.25 or 25%.

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Answer:

A.) Two

Step-by-step explanation:

You can determine the amount of solutions the functions have by counting the number of intersections they have. Since the functions cross each other at two different points, there are two solutions.

I did not get Your Question Probably But the way I see it the answer is:

The equation of a circle with center (h, k) and radius r can be written as:

(x - h)^2 + (y - k)^2 = r^2

In this case, the center of the circle is (0, -6). To find the radius, we can use the distance formula between the center and the given point (-√28, 3):

r = √((x₂ - x₁)^2 + (y₂ - y₁)^2)

Plugging in the values:

r = √((-√28 - 0)^2 + (3 - (-6))^2)

Simplifying:

r = √(28 + 81)

r = √109

Therefore, the equation of the circle with center (0, -6) and containing the point (-√28, 3) is:

(x - 0)^2 + (y + 6)^2 = (√109)^2

Simplifying further:

x^2 + (y + 6)^2 = 109

Answer:

The equation of the circle with center (0, -6) containing the point (-√28, 3) is x^2 + (y + 6)^2 = 109.

Step-by-step explanation:

The equation of a circle with center (h, k) and radius r is given by the formula:

(x - h)^2 + (y - k)^2 = r^2

In this case, the center of the circle is (0, -6), which means that h = 0 and k = -6. We also know that the circle contains the point (-√28, 3), which means that this point is on the circle and satisfies the equation above.

To find the radius r, we can use the distance formula between the center of the circle and the given point:

r = sqrt((0 - (-√28))^2 + (-6 - 3)^2) = sqrt(28 + 81) = sqrt(109)

Substituting h, k, and r into the equation of the circle, we get:

x^2 + (y + 6)^2 = 109

Therefore, the equation of the circle is x^2 + (y + 6)^2 = 109.

Answer:

A = 20

B = 12.5

C = 10.2

Step-by-step explanation:

A = (10 + 20 + 30)/3 = 20

B = (5 + 10 + 15 + 20) = 12.5

C = (1 + 5 + 10 + 15 + 20) = 10.2

The simplified form of the given trigonometric expression is √6/2·( cos(5π/12) + i·sin(5π/12)).

Given that, 12(cos(7π)/6 +isin(7π)/6))/(4√6(cos(3π/4) +isin(3π/4)).

= (12((-0.866)+i(-0.5))/(4√6(-0.7071+i0.7071)

= 12(-0.866-0.5i)/(4√6(-0.7071+i0.7071))

= (-10.392-6i)/9.8(-0.7071+i0.7071)

= (-10.392-6i)/(-6.9+9.8i)

If you have a problem such as   a·cos(A) / b·cos(B)

you can solve it as (a/b)·cos(A - B)

For this problem a = 12 and b = 4√(6) so a/b =√6/2

and A = 7π/6 and B = 3π/4 so A - B = 5π/12

Therefore, the simplified form of the given trigonometric expression is √6/2·( cos(5π/12) + i·sin(5π/12)).

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