If M=(2,5) is the midpoint of AB, and A=(0,-1), then the coordinates of B are _____.

A. (4, 11)

B. (1, 3)

C. (-2, -7)

D. (1, -2)

KMartinez, this is the solution:

As you can see, we have one figure that we can separate in two rectangles. We need to calculate the area of each rectangle and add them, this way:

Rectangle A:

Length = 9

Width = 4

Area = 9 * 4 = 36 cm²

Rectangle B:

Length = 10 - 4 = 6

Width = 3

Area = 6 * 3 = 18 cm²

Now, we can calculate the total area:

Total area = Area of the rectangle A + Area of the rectangle B

Total area = 36 + 18

Total area = 54 cm²

So you have 5 cups of flour for 10 pancakes so what you want to do is just divide 10 by 5 and you get your answer of 2 :)

The tax owed by a married woman filing separately with a taxable income of $121,000 can be calculated using the 2016 marginal tax rates.

In 2016, the marginal tax rates ranged from 10% to 39.6%, with different income thresholds for each rate. To compute the tax owed, we need to determine the applicable tax bracket for the taxable income of $121,000 and apply the corresponding tax rate.

To provide an accurate calculation, the 2016 tax brackets and rates are required, but unfortunately, the knowledge cutoff for this AI model is in September 2021, and I don't have access to specific tax rates beyond that date. Therefore, I'm unable to generate the exact tax owed for the given situation. It is advisable to consult the updated tax laws or use a tax calculator that incorporates the current tax rates to determine the accurate tax owed for a taxable income of $121,000 in the relevant tax year.

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To answer this question, we need to know the mean and standard deviation of the distribution of defaults in the sample.  

Let's assume that the mean is 20 and the standard deviation is 5.

Using the continuity correction factor, we adjust our boundaries from 17 to 17.5 and from infinity to 16.5. We then use a standard normal distribution table or calculator to find the area under the curve between these boundaries.

Using a standard normal distribution table, we find that the area to the left of 17.5 is 0.0401 and the area to the left of 16.5 is 0.0228. Subtracting the latter from the former gives us the area between 17.5 and 16.5, which is 0.0173.

Therefore, the probability that the sample contains 17 or fewer defaults (using the continuity correction factor) is approximately 0.0173 or 1.73%.

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Answer:

45

Step-by-step explanation:

Upon examining the graph, you can realize that angle 3x is the same as the angle directly to the left of 9x. Since that makes a straight line, we can realize that that sums up to 180. We call this a linear pair.

so you have:

3x+9x = 12x = 180

x = 15

A important concept to know here is vertical angles. Vertical angles occur when two lines intersect each other. The opposite angles formed at an intersection are congruent, which is why 1 is congruent to 3x.

Therefore, angle 1 is 45 degrees.

The inverse of (- 2 . 3 ) is (1 / - 2.3 ).

In mathematics, the inverse of a number refers to the concept of taking its reciprocal; for instance (2 . w ) results in its reciprocal as ( 1/ 2. w ). When a number is multiplied by its inverse the result yields 1, meaning that the product of the number and its inverse, i.e. reciprocal always equals 1.

As per the given number which is (-2.3) and its inverse is ( 1 / -2.3 ), when these two numbers are multiplied together they result in 1. Such as:

(-2.3) x ( 1 / -2.3 ) = 1

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Minimum score required for the scholarship = 605

To find the minimum score required for the scholarship, we need to find the score that corresponds to the top 6% of scores.

First, we need to find the z-score that corresponds to the top 6%. We can use the standard normal distribution table or calculator to find this.

Using the calculator, we can input:

normalcdf(0.94,9999)

This gives us the area under the curve to the right of z=0.94, which is the z-score that corresponds to the top 6%.

We get: 0.1664

This means that the top 6% of scores correspond to z-scores greater than 0.94.

Now we can use the z-score formula:

z = (x - μ) / σ

where x is the score we want to find, μ is the mean (489), and σ is the standard deviation (112).

Rearranging this formula, we get:

x = z * σ + μ

Substituting in the values we have:

x = 0.94 * 112 + 489

x = 605.08

Rounding this to the nearest whole number, we get:

Minimum score required for the scholarship = 605

To find the minimum score required for the scholarship, we will use the given information about the SAT writing scores being normally distributed with a mean (µ) of 489 and a standard deviation (σ) of 112. We need to find the score that corresponds to the top 6%.

Step 1: Convert the percentage to a decimal. Top 6% = 0.06.

Step 2: Find the Z-score that corresponds to the top 6%. This means we want to find the Z-score that has 1 - 0.06 = 0.94 area to the left. Using a Z-table, you can find that the Z-score is approximately 1.555.

Step 3: Use the Z-score formula to find the minimum score (X):

Z = (X - µ) / σ

1.555 = (X - 489) / 112

Step 4: Solve for X:

1.555 * 112 = X - 489

174.16 = X - 489

X = 663.16

Round to the nearest whole number: X = 663.

So, the minimum score required for the scholarship is 663.

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Answer:

X = -10/6

X = -1,666666666666667

Step-by-step explanation:

First at all you join the X's

18x-12x = 14-24

Then you simplified:

6x = -10

X = -10/6

X = -1,666666666666667

Yes, it is appropriate to use the methods of hypothesis testing to test the proportion of allergy sufferers who experience relief from the new allergy medication.

The methods of hypothesis testing can be used to test any hypothesis about a population parameter, provided certain assumptions are met. In this case, we want to test a hypothesis about the proportion of allergy sufferers who experience relief from the medication, which is a population parameter.

To perform a hypothesis test, we need to have a random sample from the population, which is given in the problem statement. We also need to check the assumptions that the sample is representative of the population, and the observations are independent.

What is hypothesis?

A hypothesis is a statement or assumption about a population parameter, such as a population mean or proportion.

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(a) The probability that Miranda will have two twin girls is 1/4. (b) The probability that the girls are identical twins is 1/3.

(a) The probability of having two twin girls is determined by the ratio of the different combinations of twin girls. There are four possible combinations: two girls, one girl and one boy, two boys, and one boy and one girl. Since there are two combinations of twin girls, the probability of having two twin girls is 1/4. (b) The probability that the girls are identical twins is determined by the ratio of identical twins to all twins. Since 1/3 of all twins are identical twins, the probability that the girls are identical twins is 1/3.

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Answer:

Option 3

Step-by-step explanation:

If you multiply the numbers inside the root of option 3, you get the equation

2 * 2 * 3 * 3 * 5

Which equals 180

Replacing the root sign will show that you have the right answer.

The assertion of presentation confirms that the components of the financial statements are shown appropriately.

The management is also responsible for ensuring that the statement is adequately classified, described, and disclosed. Valuation: Valuation assertion affirms that the amounts of assets, liabilities, and equity have been appropriately recorded and stated at the correct amount. Buildings have been valued at $35,000,000 while the non-current liabilities amounted to $49,500,000. The auditor should evaluate if the valuation is accurate and if any impairment has been recognized.

The auditor must ensure that the investment in question exists and that the company owns it. The investment must be in the name of Wyndham Limited and not under another person or company. Ownership and valuation: The auditor should verify that the company has control over the investment and that it's valued correctly. If the investment is accounted for using fair value, the auditor must ensure that the method used is appropriate and consistent with the company's accounting policy. The auditor should also verify that the company's control over the investment justifies the accounting treatment used. The valuation of the investment should be at the correct amount and the disclosures must comply with the relevant accounting standard or IFRS.

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Answer:

s = -19

Step-by-step explanation:

Step 1: Write equation

-16 = -(s + 19) + -16

Step 2: Solve for s

Step 3: Check

Plug in s to verify it's a solution.

-16 = -(-19 + 19) + -16

-16 = -0 - 16

-16 = -16

Answer:

C

Step-by-step explanation:

C goes past -1 and almost reaches -2 so you know it will include some sort of fraction.

If you count the tick marks, C is on the 7th tick mark which is the one before -2. This represents 7/8 because 8/8 would be right on -2.

So, C shows -1 and 7/8

The least change in temperature is in the eastern region.

What is meant by the temperature of a place?

The physical concept of temperature indicates in the numerical form how hot or cold something is. A thermometer is used to determine temperature. It denotes the direction of the spontaneous movement of heat energy, i.e., from a hotter body (one with a higher temperature) to a colder body (one at a lower temperature).

Thermometers are calibrated according to different temperature scales that used different reference points and thermometric substances as definitions. The Celsius scale, denoted by the unit symbol °C, the Fahrenheit scale (°F), and the Kelvin scale are the most popular scales (K).

To find the change in temperature we can use the following formula:

Temperature change = Final temperature - Initial temperature

                                    = Maximum temperature - Minimum temperature

Using the above relation, we can find the change in temperature in each region.

North

Temperature change = 10 °F - (-8°F) = 18°F

South

Temperature change = 2 °F - (-3°F) = 5°F

East

Temperature change = 0 °F - (-2°F) = 2°F

West

Temperature change = 3 °F - (-4°F) = 7°F

Hence from the above calculations, it is clear that the least change in temperature is in the eastern region.

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Answer:

B.) 25 mph

 2 5

4 | 1 0 0

8

2 0

2 0

0      0

Answer:

25mph

Step-by-step explanation:

100/4

Answer:

C) y = 2x - 3 and y = -2x - 1.

Hope this helps you!

Answer:

2/6 chance the dice be rolled to the total of 12

Answer:

C

Step-by-step explanation:

First, let us understand that in simple terms the conjugate of a radical simply involves the change in sign of the radical

in the problem the conjugate of x+4+5

Answer:

The height of the flagpole is approximately 33.16 ft.

Step-by-step explanation:

Use ratio and proportion

Let h be the height of the flagpole

\(\frac{h}{43ft} =\frac{64 in}{83in}\\ h = \frac{43ft(64in)}{83in} \\h = 33.16ft\)

If a rocket is launched from the surface of the Earth, it needs to reach a speed of at least 7.9 kilometers per second (4.9 miles per second) in order to reach space. This speed of 7.9 kilometers per second is known as the orbital velocity, it corresponds to more than 20 times the speed of sound.

The required number of integer solutions is 820. To determine the number of integer solutions (x, y, z, w) to the equation x + y + z + w = 40 that satisfy x ≥ 0, y ≥ 0, z ≥ 6, and w ≥ 4, we can use the concept of generating functions.

Let's define four generating functions as follows:

f(x) = (1 + x + x^2 + ... + x^40)     -> generating function for x

g(x) = (1 + x + x^2 + ... + x^40)     -> generating function for y

h(x) = (x^6 + x^7 + x^8 + ... + x^40) -> generating function for z, since z ≥ 6

k(x) = (x^4 + x^5 + x^6 + ... + x^40) -> generating function for w, since w ≥ 4

The coefficient of x^n in the product of these generating functions represents the number of solutions (x, y, z, w) to the equation x + y + z + w = 40 with the given constraints.

We need to find the coefficient of x^40 in the product f(x) * g(x) * h(x) * k(x).

By multiplying these generating functions, we can find the desired coefficient.

Coefficient of x^40 = [x^40] (f(x) * g(x) * h(x) * k(x))

Now, let's calculate this coefficient.

Since f(x) and g(x) are the same, their product is (f(x))^2.

(x^40) is obtained by choosing x^0 from f(x), x^0 from g(x), x^34 from h(x), and x^6 from k(x).

Therefore, the coefficient of x^40 is:

[x^40] (f(x))^2 * x^34 * x^6

[x^40] (f(x))^2 * x^40

[x^0] (f(x))^2

The coefficient of x^0 in (f(x))^2 represents the number of solutions to the equation x + y + z + w = 40 with the given constraints.

To find the coefficient of x^0 in (f(x))^2, we can use the binomial coefficient.

The coefficient of x^0 in (f(x))^2 is given by:

C(40 + 2 - 1, 2) = C(41, 2) = 820

Therefore, the number of integer solutions (x, y, z, w) to the equation x + y + z + w = 40 that satisfy x ≥ 0, y ≥ 0, z ≥ 6, and w ≥ 4 is 820.

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Answer: 43 blankets

Step-by-step explanation:

Since we are informed that the women wove 672 blankets to keep warm during the winter and that 27 were destroyed in a fire, the remaining will be:

= 672 - 27

= 645

We are further told that the remaining 646 blankets was shared among 15 families. Each family will get:

= 645/15

= 43

Each family gets 43 blankets

Answer:

oh yeah

Step-by-step explanation:

Answer:

a = 21, b = 70, c = 89

Step-by-step explanation:

opposite angles of intersecting lines are the same, 21 = 21

adjacent angles of intersecting lines add up to 180, 180 - 110 = 70

angles of a triangle add up to 180, 180 - 70 - 21 = 89

Answer:

a = 21, b = 70, c = 89

Step-by-step explanation:

A function to represent the total charges for your hotel and car rental is Option C.

In mathematics, a function is a relation between two sets of values, where each input value from the first set (called the domain) corresponds to exactly one output value in the second set (called the range). The output value of a function is determined by its input value and any relevant rules or formulas.

Formally, a function can be defined as follows: Let X and Y be two non-empty sets. A function f from X to Y is a rule or formula that assigns to each element x in X a unique element y in Y, denoted by f(x), such that for any two elements x1 and x2 in X, if x1 = x2, then f(x1) = f(x2). The set X is called the domain of the function, and the set Y is called the codomain or range of the function.

Functions can be represented graphically, algebraically, or in tabular form. The graph of a function shows how the output value of the function varies with the input value, and can be used to visualize the behavior of the function. The algebraic representation of a function can be given by a formula or equation that expresses the output value in terms of the input value. A tabular representation of a function shows the input-output pairs in a table.

Functions are used in many areas of mathematics, science, engineering, and economics to model and describe relationships between variables. They are also used in practical applications, such as in computer programming, where they are used to define algorithms and data structures.

The total charges for the hotel and car rental can be found by adding the charges for the hotel and the car rental. Therefore, the function that represents the total charges can be found by adding the two given functions:

p(x) = 135x + (45 + 79x)

p(x) = 135x + 45 + 79x

p(x) = 214x + 45

Therefore, the function that represents the total charges for the hotel and car rental is p(x) = 214x + 45.

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