What is the area of a semicircle with a radius of 2

Answer: Associative Property: (40+(12+18)+27. Evaluate: 97

The correct answer is:

a) Dependent because the occurrence of one affects the probability of the other.

The two events, driving 30mph over the speed limit and getting a speeding ticket, are dependent.

The events of driving 30mph over the speed limit and getting a speeding ticket are dependent because the occurrence of one event does affect the probability of the other event.

When someone drives 30mph over the speed limit, they are more likely to catch the attention of law enforcement officers and increase their chances of receiving a speeding ticket. The act of driving significantly above the speed limit increases the risk of being detected and penalized for the violation.

Conversely, if someone does not drive over the speed limit, their probability of getting a speeding ticket significantly decreases. Therefore, the occurrence of one event (driving 30mph over the speed limit) influences the probability and likelihood of the other event (getting a speeding ticket).

In this case, the events are not independent because there is a clear relationship between the two, with the occurrence of one event directly impacting the likelihood of the other event happening.

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The correct answer is D. The quadratic function has no real zeros if a > 0 and k>0 or a < 0 and k<0. This is because in the vertex form y=a(x- h2) + k, the value of k determines the vertical shift of the graph, and the value of a determines the direction of the graph. If a>0 and k>0, the graph will be shifted up and open upward, meaning it will not cross the x-axis and therefore have no real zeros.

Similarly, if a<0 and k<0, the graph will be shifted down and open downward, also not crossing the x-axis and having no real zeros.  The vertex form of a quadratic function is y = a(x - h)^2 + k, where (h, k) represents the vertex of the parabola. The value of a determines the shape of the parabola: if a > 0, the parabola opens upwards, and if a < 0, the parabola opens downwards.

For a quadratic function to have no real zeros, it must not intersect the x-axis. This means that the vertex of the parabola must be above or below the x-axis, depending on the direction of the opening.

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First, let's start by constructing the triangle (not scalable), like this:

Where b and h are the base and the height of the figure.

In order to determine the value of b and h we can use the following trigonometric function, the sine:

Where 17 is the length of the hypotenuse and a is the length of the side opposite to θ. From this formula, we can solve for a by multiplying by 17 on both sides to get:

As you can see, in the figure, the side opposite to the 60° angle is b, then by replacing 60 for θ and b for we get:

Then the value of b is calculated to get:

Similarly, we can get the value of h by replacing 30° for θ and h for a, like this:

Now we can use the following formula to calculate the area of the triangle:

By replacing 8.5 for h and 14.72 for b we get:

Then, the area of this triangle equals 62.57 square centimeters

Answer: 9-2 & -2-(-9)

Correct me if I'm wrong.

Step-by-step explanation:

The zero #1 is (-3, 0) and the zero #2 is (1, 0).

To find the zeros of the quadratic equation y = 2x² + 4x - 6, we need to solve for the values of x when y = 0.

We can start by setting y to zero:

0 = 2x² + 4x - 6

Next, we can divide both sides by 2 to simplify the equation:

0 = x² + 2x - 3

We can then factor the left-hand side of the equation:

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

Using the zero product property, we can set each factor equal to zero and solve for x:

x + 3 = 0 or x - 1 = 0

x = -3 or x = 1

So the zeros of the quadratic function are (-3,0) and (1,0).

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Inequality can be used to determine x, the greatest number of 120-kilogram crates that can be loaded onto the shipping container is  8000 + 120C <= 27500

An inequality is a relationship that allows us to contrast two or more mathematical expressions.

Knowing that;

Each carton weighs 120 kg.

The container's maximum weight when loaded is 27500 kg.

Weight of the container as it is currently loaded: 8000 kg

Now that we have merged, we have;

Solution

because 8000 grams have already been loaded kilograms

into the container

each crate weighs 120 kilograms.

so 8000 + 120C <= 27500

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Simon's longest jumping distance is less than Travis's jumping distance.Simon's longest jumping distance is 2 inches shorter than Travis's jumping distance.Travis can jump 1 foot and 2 inches.The distance between 38 inches and 26 inches is 1 foot and 0 inches.

Simon's longest jumping distance is 2 inches longer than 3 feet, Travis says that he can jump farther than Simon because he can jump 38 inches. Below are the true statements for the given question:Simon's longest jumping distance is 26 inches.Simon's longest jumping distance is less than Travis's jumping distance.Simon's longest jumping distance is 2 inches shorter than Travis's jumping distance.Travis can jump 1 foot and 2 inches.The distance between 38 inches and 26 inches is 1 foot and 0 inches.To explain, Simon's longest jumping distance is 2 inches longer than 3 feet, which is equal to 36 inches. Therefore, Simon's longest jumping distance can be 26 inches (2 inches longer than 3 feet) and Travis says that he can jump farther than Simon because he can jump 38 inches. The distance between 38 inches and 26 inches is 12 inches, which is equivalent to 1 foot and 0 inches.Therefore, the correct true statements for the given question are:Simon's longest jumping distance is 26 inches.Simon's longest jumping distance is less than Travis's jumping distance.Simon's longest jumping distance is 2 inches shorter than Travis's jumping distance.Travis can jump 1 foot and 2 inches.The distance between 38 inches and 26 inches is 1 foot and 0 inches.

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$25,000 of Geoffrey's income is subject to the net investment income tax.

The net investment income tax applies to certain types of income, including rental real estate income, and is calculated based on an individual's modified adjusted gross income (MAGI) and filing status. In the case of Geoffrey, his rental real estate income of $25,000 is subject to the net investment income tax.

To calculate the net investment income tax, we need to determine Geoffrey's MAGI. His total income for the year consists of $25,000 in rental real estate income and $180,000 in wages, totaling $205,000. Since he has no adjustments to income, his MAGI is equal to his total income of $205,000.

Therefore, the amount of Geoffrey's income subject to the net investment income tax is $25,000.

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The equation of the polynomial equation P(x) = (x - 2)(x² + 1)(x² + 9)

The given parameters are

There are complex numbers in the above zeros

So, the other zeros are

Zeros = -3i and i

The equation of the polynomial is then calculated as

P(x) = Leading coefficient * (x - zero)^multiplicity

So, we have

P(x) = 1 * (x - (-3i)) * (x - 2) * (x - (-i)) * (x - 3i) * (x - i)

This gives

P(x) = 1 * (x² + 9) * (x - 2) * (x² + 1)

Evaluate the products

P(x) = (x - 2)(x² + 1)(x² + 9)

Hence, the equation is P(x) = (x - 2)(x² + 1)(x² + 9)

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We can see here that identifying the elements for each circle, we have:

1. Circle: NOP

Radius: MN

Diameter: OP

2.  Circle: QSR

Radius: PQ

Diameter: SR

A circle is a fully round, two-dimensional geometric shape made up of all points in a plane that are equally spaced from a fixed center point. The radius (written by the letter "r") is the measurement from the circle's center to any point on its edge. The center point is frequently indicated as "O."

3. Circle: LMN

Radius: KL

Diameter: MN

4. Circle: EFG

Radius: DE

Diameter: FG

5. Circle: BCD

Radius: AB

Diameter: CD

6. Circle: GJH

Radius: FH

Diameter: JH

7. Circle: KLM

Radius: JK

Diameter: LM

8. Circle: PRQ

Radius: OP

Diameter: QR

9. Circle: HJK

Radius: GH

Diameter: JK

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Answer:

The focus would lie at (-8,16)

Step-by-step explanation:

Answer:

Answer: 17892

Solution:

The multiples of 7 between 0 to 500 are:

7x1 = 7

7x2 = 14

7x3 = 21

7x4 = 28

7x5 = 35

………….

7x70 = 490

7x71 = 497

Therefore total number of multiples of 7 between 0 and 500 are 71. If we denote by S71 the sum of all these multiples,

S71 = 7+14+21+28+35+…………+490+497

= 7(1+2+3+4+………………….+70+71)

The series within parentheses is the sum of the first 71 natural numbers and the sum is given by the formula n(n+1)/2, where n=total number of terms=71 . Substituting for n,

S71 = (7x71x72)/2 = 7x71x36 = 17892 (Answer

Step-by-step explanation:

Answer:

388,521

Step-by-step explanation:

The multiples of 7 between 1 and 500 are:

7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105, 112, 119, 126, 133, 140, 147, 154, 161, 168, 175, 182, 189, 196, 203, 210, 217, 224, 231, 238, 245, 252, 259, 266, 273, 280, 287, 294, 301, 308, 315, 322, 329, 336, 343, 350, 357, 364, 371, 378, 385, 392, 399, 406, 413, 420, 427, 434, 441, 448, 455, 462, 469, 476, 483, 490, 497

Add all of these numbers.

7 + 14 + 21 + 28 + 35 + 42 + 49 + 56 + 63 + 70 + 77 + 84 + 91 + 98 + 105 + 112 + 119 + 126 + 133 + 140 + 147 + 154 + 161 + 168 + 175 + 182 + 189 + 196 + 203 + 210 + 217 + 224 + 231 + 238 + 245 + 252 + 259 + 266 + 273 + 280 + 287 + 294 + 301 + 308 + 315 + 322 + 329 +336 + 343 + 350 + 357 + 364 + 371 378 + 385 + 392 + 399 + 406 + 413 + 420 + 427 + 434 + 441 + 448 + 455 + 462 + 469 + 476 + 483 + 490 + 497

=388,521

We will see that the parabola must open downwards, then the value of c must be negative, and thus, the correct option is A, c = -8.

The general quadratic equation is written as:

y = a*x^2 + b*x + c

Where a is the leading coefficient, and it defines if the parabola opens up or down, depending on its sign.

And we know that we have two real solutions, so the discriminant (4*a*c in the general equation) must be positive.

Then:

4*a*c> 0

Now, notice that the vertex of the parabola is above the x-axis, then the parabola only will intercept the x-axis if it opens downwards, then a must be negative.

Then the value of c also must be negative, due to the above inequality.

Then the only option that could be the value of c is option A, c = -8.

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Answer:

-3 is the y coordinate

2 is the x coordinate

Step-by-step explanation:

-9*1/3=-3

6*1/3=2

Hope this helps :)

Answer:

(2, - 1 )

Step-by-step explanation:

Assuming the centre of dilatation is at the centre then multiply each of the coordinates of D by \(\frac{1}{3}\)

D(6, - 3 ) → D'( \(\frac{1}{3}\) (6), \(\frac{1}{3}\) (- 3 ) ) → D'( 2, - 1 )

Answer:

8.94

Step-by-step explanation:

use distance formula

squareroot of (x2-x1)^2 +y2-y1)^2

sqrt (-9 - (-1))^2 +(9 - 5)^2

sqrt (-8)^2 + 4^2

sqrt 64 + 16

sqrt 80

factored becomes

4sqrt of 5 or 8.94427

rounded 8.94

Hope this helps Please mark brainiest

Isaac started an iPhone screen replacement business. he charges $15 for each screen his shop replaces, the value of the marginal product of labor for the 5th worker is mathematically given as  

M=$90

Generally, It is the change in value or production that occurs when a new worker is hired.

Therefore, the value of the output from hiring 4 & 5workers

V4= $ 15* 43

V4= $ 645

and V8

V5=$ 15 * 49

V5 = $ 735

In conclusion, the marginal product

M= $ 750 - $ 645

M=$90

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Answer: A straight line can be drawn through all the points and the line passes through the point where x=0 and y=0.

Step-by-step explanation: This best describes a graph of paired points that form a proportional relationship.

The correct answer is option d) both 'a' and 'c'. The Sharpe ratio and Fama's net selectivity are performance evaluation measures that take into account unsystematic risk along with systematic risk.

The Sharpe ratio measures the excess return of a portfolio over the risk-free rate per unit of total risk (i.e., both systematic and unsystematic risk) and is given by:

Sharpe Ratio = (Portfolio Return - Risk-Free Rate) / Portfolio Standard Deviation

Fama's net selectivity, on the other hand, measures a portfolio's ability to generate returns over and above what would be expected based on its exposure to different factors (i.e., systematic risk) and its level of unsystematic risk. It is calculated as the difference between the portfolio's actual return and the return predicted by a multifactor model that takes into account the portfolio's exposure to different factors. Both of these measures account for unsystematic risk along with systematic risk, making them useful for evaluating portfolio performance. The Treynor ratio, on the other hand, only takes into account systematic risk and not unsystematic risk.

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The statement that accurately describes the sampling distribution of means is "the frequency distribution of a selection of sample means that occurs when many samples of the same size n are randomly selected from one raw score population.

This is known as the Central Limit Theorem, which states that as the sample size increases, the distribution of sample means approaches a normal distribution with a mean equal to the population means and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

The other options are not accurate descriptions of the sampling distribution of means.

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Answer:

d.

took the test

Step-by-step explanation:

The final distance of the port from the ship is 75.63 km and the final bearing of the port from the ship is 263.57° using cosine and sine rules.

Considering the triangle formed by the ship ∆ABC where A, B and C are the points for; the port, where the ship changes its course, and its final bearing. The final distance "a" of the port from the ship is calculated with cosine rule as follows;

a² = b² + c² - 2(b)(c)cosA

a² = 40² + 70² - 2(40)(70)cos82°

a² = 1600 + 4900 - 5600cos82°

a² = 5720.63 {take square root of both sides}

a = 75.63

For the triangle ABC, by sine rule;

a/sinA = b/sinB = c/sinC

75.63/sin82° = 70/sinC

C = sin⁻¹(70 × sin82°/75.63) {by cross multiplication}

C = 66.43

angle C = 60 + 6.43 {60° is an alternate angle with angle 30° at the point B where the ship chenged course and 6.43° is a complementary angle at the 3rd quadrant of point C}

The final bearing of the port from the ship is calculated as;

180° + (90 - 6.43)° = 263.57°

Therefore, the final distance of the port from the ship is 75.63 km and the final bearing of the port from the ship is 263.57° using cosine and sine rules.

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To order the values ​​from least to greatest, we must take into account some important rules, for example.

1.a whole number is greater than a decimal number

2. The greater the decimal number that has more in its integer part.

3.The number placed furthest to the right of the number line is greater. For example +2 is greater than -1. -2 is greater than -3

Now taking into account these rules, we are going to order the numbers given in the exercise from lowest to highest;

-35

-4.3

1.21

2.7

III ;which is equal to 3 integers

4.6

Answer:

Step-by-step explanation:

∠WZA + WZY = 180     {linear pair}

88 + ∠WZY = 180

∠WZY = 180 - 88

∠WZY = 92°

∠WXY + ∠WZY = 180     {Opposite angle in cyclic quadrilateral}

x + 92 = 180

       x = 180 - 92

x = 88°

The value of expression is,

⇒ x ÷ 12

We have to given that;

The algebraic expression is,

⇒ x divided by 12

Hence, We can formulate;

The value of correct expression is,

⇒ x ÷ 12

⇒ x / 12

Thus, The value of expression is,

⇒ x ÷ 12

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Answer:

1 1/2 cups

Step-by-step explanation:

original amount = 2 1/4 cups = (2 × 4 + 1)/4 cups = 9/4 cups

2/3 of original amount = 2/3 × 9/4 cups = 18/12 cups = 3/2 cups = 1 1/2 cups

Answer:

I believe the answer is letter B.