Given a A PQR with vertices P (2, 3), Q 1-3, 7) and R(-1, -3): The equation of median PM is :

Answer: That would be xy−4x <3 hope it helps

Step-by-step explanation: all u have to do is multiply the polynomials

Answer/explanation:

a. The total float for the month can be calculated as follows:The delay for the larger check is 4 days, and the delay for the smaller check is 5 days, therefore the float is 4 + 5 = 9 days.The total float for the month is $14,400 ($11,000 + $3,400).Thus, the total float for the month is $14,400 for a period of 9 days.

b. The average daily float can be calculated as follows:Average daily float = Total float / Number of days in the periodAverage daily float = $14,400 / 30 daysAverage daily float = $480

Therefore, the average daily float is $480.

c-1. The average daily receipts can be calculated as follows:The total receipts for the month are $14,400, so the average daily receipts are:Average daily receipts = Total receipts / Number of days in the periodAverage daily receipts = $14,400 / 30 daysAverage daily receipts = $480

Therefore, the average daily receipts are $480.

c-2. The weighted average delay can be calculated as follows:Weighted average delay = (Delay for larger check * Amount of larger check + Delay for smaller check * Amount of smaller check) / Total amountWeighted average delay = (4 days * $11,000 + 5 days * $3,400) / $14,400Weighted average delay = $77,600 / $14,400Weighted average delay = 5.39 days (rounded to two decimal places)

Therefore, the weighted average delay is 5.39 days.

The recursive and the explicit formulas are f(n) = 3f(n - 1), where f(1) = 250 and f(n) = 250(3)ⁿ‐¹

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

This means that

Initial, a = 250 bacterial cultures.

Rate = 3

So, the recursive formulas is

f(n) = 3f(n - 1), where f(1) = 250

For the explicit formula, we have

f(n) = 250(3)ⁿ‐¹

Hence, the recursive and the explicit formulas are f(n) = 3f(n - 1), where f(1) = 250 and f(n) = 250(3)ⁿ‐¹

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Answer: $53.95

Step-by-step explanation:

Given: \(\mu=0.75\) pounds

\(\sigma= 0.2\) pounds

n= 50

Two tailed critical z-value for 90% confidence level = 1.645

Let x be the total amount of food that a cafeteria should have on hand to be 90 percent confident that it will not run out of food .

z-score = \(\dfrac{x-\mu}{\sigma}\) \(=\dfrac{x-0.75}{0.2}\)

Then, \(\dfrac{x-0.75}{0.2}=1.645\)

\(x-0.75=1.645\times0.2\\\\\Riightarrow\ x-0.75=0.329\\\\\Rightarrow\ x= 0.329+0.75\\\\\Rightarrow\ x= 1.079\)

Foe 50 students, total amount of food = 1.079 x 50 = $53.95

hence, the cafeteria should have food of amount $53.95 so that it is be 90 percent confident that it will not run out of food.

Approximately 25% of the adult population is allergic to pets with fur or feathers, but only 4% of the adult population has a food allergy. A quarter of those with food allergies also have pet allergies. The probability of having food allergies but not being allergic to pets is 4% - 0.01 = 0.03. The correct option is b.

Given that approximately 25% of the adult population is allergic to pets and 4% has a food allergy, and a quarter of those with food allergies also have pet allergies, we can calculate the probability as follows:

Probability of having food allergies but not being allergic to pets = Probability of having food allergies - Probability of having both food and pet allergies

The probability of having food allergies is 4%, and a quarter of those with food allergies have pet allergies, so the probability of having both food and pet allergies is (4% * 0.25) = 0.01.

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Answer:

x = 1

y = 0

Step-by-step explanation:

You did a great job solving one of the equations for a single variable. You solved for x. But what your paper shows is that...it jind of looks like you were going to substitute the 2y+1 into y. BUT you need to substitute it into x.

-4x + 3y = -4

x = 2y + 1

Fill in 2y + 1 into x in the first equation.

-4(2y+1) + 3y = -4

Now you have an equation in one variable. There are only y's in this equation. Next, distribute.

-8y - 4 + 3y = -4

combine like terms.

-5y - 4 = -4

add 4 to both sides.

-5y = 0

divide by -5

y = 0

It's okay that it cam out to be zero. Its fine!

y=0

Put it back in one of the original equations to find x.

x = 2y + 1

x = 2(0) + 1

x = 1

The solution is

x=1

y=0

You can write this as an ordered pair.

(1,0)

No, you cannot use the heights of the members of the men's basketball team at your school to make inferences about the heights of all men at your school because the basketball team members are not a representative sample of the entire male population at the school.

The basketball team members are likely to be taller than the average male student at the school, given that height is an important factor in basketball.

In order to make inferences about the heights of all men at your school. you would need to collect a random sample of heights from the entire male population at your school.  

At least a representative sample that includes a variety of different types of male students, such as athletes, non-athletes, and students from different ethnic and socioeconomic backgrounds.

This would ensure that your sample is representative of the entire male population at the school.

Inferences you draw from the sample are likely to be accurate for the entire population.

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Answer:

6.50w

Step-by-step explanation:

Given that :

Weight ________ Cost ($)

1 ______________6.50

2 _____________ 13.00

3 _____________ 19.50

Cost of package that weighs w pounds

If one pound = 6.50

2 pounds = 13.0

Then, the cost per pound = $6.50

Hence, cost of package that weighs w pounds will be ;

$6.50 * w = $6.50w

The excerpt from Samuel Taylor Coleridge's "Kubla Khan" that most clearly indicates that he is describing a dream is option A: "A damsel with a dulcimer/In a vision once I saw."

The line "A damsel with a dulcimer/In a vision once I saw" from the poem "Kubla Khan" by Samuel Taylor Coleridge is the excerpt that most clearly indicates that he is describing a dream. This line explicitly mentions a vision, suggesting that the poet is recounting a dreamlike experience. In this line, the poet describes seeing a damsel with a dulcimer in a vision. The word "vision" strongly suggests an experience that is not grounded in reality but rather in the realm of dreams or imagination. It implies that the poet is recounting a scene that he witnessed in his mind's eye, a vision that came to him in a dream-like state. The other options do not directly indicate the dream-like nature of the poem. Option B describes the decree of a pleasure dome by Kubla Khan in Xanadu, but it does not explicitly reference a dream. Option C describes the shadow of the dome of pleasure floating on the waves, which can be interpreted as a surreal image but does not specifically mention a dream. Option D describes the physical characteristics of the fertile ground with walls and towers but does not provide any indication of a dream.

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Answer:

17.28

Explanation:

We know that the total cost is given by

If Lindy orders 4 drinks and a medium pizza with 3 toppings. then d = 4 and t = 3. Putting these values into the expression gives

which we evaluate to get

Hence, the total cost of 4 drinks and a medium pizza with 3 toppings is $17.28.

Answer:

Original: -4x - 10y = -7

10y = 4x - 7

5y = 2x - 7

Answer: y = 2/5x - 7

Answer:

The slope intercept is below.

Step-by-step explanation:

y= -\(\frac{2}{5}\)x + \(\frac{7}{10}\)

Hope this helps and if you could mark me as brainliest. Thanks!

Answer:

14.3152173913

Step-by-step explanation:

Answer:

1317/92

Step-by-step explanation:

brainlest plz

Answer:

I got 1 so I would say its one solution  

Step-by-step explanation:

1.8x+2.8=2.5x+2.1

Now move the 2.8 and 2.5x so..

1.8x - 2.5x=2.1 - 2.8 also switch the operation from addition to subtraciton.

Now subtract 1.8x to 2.5x which is -0.7x

Your new equation should look like this---> -0.7x=2.1 - 2.8

Now subtract 2.1 to 2.8

which is -0.7

So now your equcation should look like this--> -0.7 = -0.7

Now multiply both the -0.7 to 10 so

-0.7 · 10= -7

Now your equation is -7x = -7 now divide both sides by -7

which is 1

so x=1 which is only one solution so

The length CT of the line segment is 38 units

From the question, we have the following parameters

CJ = 9x + 1

JT = 2x + 15

Also, we understand that:

Point J is the midpoint of segment CT.

This means that

CJ = CT

So, we have

9x + 1 = 2x + 15

Evaluate the like terms

7x = 14

So, we have

x = 2

Length CT is calculated as

CT = 9x + 1 + 2x + 15

So, we have

CT = 9 x 2 + 1 + 2 x 2 + 15

Evaluate

CT = 38

Hence, the length is 38 units

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Answer:

1). The distance of the foot of the ladder to the nearest foot is 17 (17.3 rounded)

2). The angle the ladder makes with the house  to the nearest degree is 12 (12.8 rounded)

Step-by-step explanation:

1). Use the 30, 60, 90 special right triangles formula (the side opposite of the 30 degree angle is equal to x, the side opposite of the 90 degree angle is equal to 2x, and the side opposite of the 60 degree angle is equal to x square root 3) and you need to find x square root 3. Since you already have 2x (20) you just need to divide that by 2 and you have x. Then, you need to take that number and multiply it by the square root of 3, giving you the answer given to you above.

2). Using trig to find the missing angle, you use cosine (adjacent over hypotenuse) so the equation would equal: cosine(x)=adjacent (19.5) over hypotenuse (20). To get x by itself, you take away cosine from one side and turn it into cosine-1 on the other side of the equation, leaving x by itself. Then you put into your calculator cosine-1 (19.5 over 20), giving you the answer given above .

Hope this helps (:    

The statement about the rates of change is (b) Function 1 and Function 2 have the same rate of change

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

Function 1:

Multiply the input by-3 and then add 4.

From the above, we have the function to be

f(x) = -3x + 4

For the graph, we have the equation to be (See attachment)

g(x) = -3x + 5

By comparison, the rates of the two functions are

Rates = -3 and -3

Hence, the statement about the rates of change is (b)

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Based on the number of years till maturity and the required rate of return, the price of the zero-coupon bond is $852.22.

When a bond's par value is not given, assume it is $1,000.

the price of a zero coupon bond is:

= par value / (1 + rate) ^ number of years till maturity

solving gives:

= 1,000 / (1 + 3.25%)⁵

= 1,000 / 1.17341139582939453125

= $852.22

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The kind of data we have is Categorical data. Data that can be broken down into groups or categories is known as categorical data.

There are three categories in this case: eggs, cereal, and no breakfast These groups include the 10 students who ate cereal, 5 students who ate eggs, and 3 students who did not eat breakfast at all.

A categorical variable is a variable in statistics that can have one of a limited, typically fixed number of possible values and assign each observational unit to a specific group or nominal category based on some qualitative property.

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A 12-ounce can of beer contains the same amount of alcohol as a five-ounce glass of wine.

In a five-ounce glass of wine, the percentage of alcohol is 12%, which is the same in the 12-ounce can or bottle of beer, and 1.5 ounces of 86-proof liquor. Although a person under the influence of alcohol will have impaired judgment and therefore must avoid driving, doesn't matter what kind of alcoholic beverage they drink. Digestion of alcohol doesn't take place as soon as you drink it, it is absorbed in your bloodstream which reaches the brain and thus creates impaired judgment.

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Answer:

5.1531

Step-by-step explanation:

Look at the picture below

Answer:

C, you got it :)

Step-by-step explanation:

it shifts it down one as long as it is outside the absolute value bars, if its inside like |x-1| it would shift it to the right 1

hope this helps

Answer:

C

Step-by-step explanation:

Answer:

34 1/3

45 543/1000

Step-by-step explanation:

The third number cannot be converted into fraction form, because it does not have a repeating decimal. The repeating decimal could be a single number or a series of numbers. The number 45.543543543543543... has a repeating decimal that is 0.543. The placement of the last number in the series is in the thousandths place. So, 45.543543543543543543543543... becomes 45 543/1000. For 34/33333..., the number is 34 1/3 in fraction form, because 1/3 is 0.33333.... To check this, divide 1 by 3. After doing so, you would get 0.333...

The terms empty set, null set, and void set are all used to describe a set that is empty of any elements.

The empty set is the only set in mathematics that possesses no items; its size or cardinality is 0. While in other theories, its existence can be inferred, some axiomatic set theories guarantee the presence of the empty set by introducing an axiom of empty set.

An empty set is a set that contains no elements and can be represented by the symbol, which indicates that it is empty of elements. It has a definite number of elements since the finite set contains a countable number of items and the empty set has none. An empty set is a finite set since it has a cardinality of zero.

Therefore, the correct answer is option (c) (even prime numbers).

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(a) For the sequence x1[n], the conjugate symmetric part (xs[n]) is {-2.5 + j4, 2.5 - j6, 4, 2.5 + j6, -1.5 - j2}, and the conjugate antisymmetric part (xa[n]) is {0, -j7, 0, j7, 0}.

(b) For the sequence x2[n], both the conjugate symmetric part (xs[n]) and conjugate antisymmetric part (xa[n]) are empty sets.

(c) For the sequence x3[n], both the conjugate symmetric part (xs[n]) and conjugate antisymmetric part (xa[n]) are empty sets.

To determine the conjugate symmetric and conjugate antisymmetric parts of a sequence, we need to perform the following calculations:

(a) For the sequence x1[n] = {-1+j3, 2-j7, 4-j5, 3+j5, -2-j}, -2 ≤ n ≤ 2:

The conjugate symmetric part (xs[n]) can be calculated as:

xs[n] = (x[n] + x*[-n])/2

The conjugate antisymmetric part (xa[n]) can be calculated as:

xa[n] = (x[n] - x*[-n])/2j

Let's calculate them step by step:

For n = -2:

xs[-2] = (x[-2] + x*[2])/2 = (-1+j3 - 4+j5)/2 = (-5 + j8)/2 = -2.5 + j4

xa[-2] = (x[-2] - x*[2])/2j = (-1+j3 - 4+j5)/(2j) = (j2 - j2)/2 = 0

For n = -1:

xs[-1] = (x[-1] + x*[1])/2 = (2-j7 + 3-j5)/2 = (5 - j12)/2 = 2.5 - j6

xa[-1] = (x[-1] - x*[1])/2j = (2-j7 - 3+j5)/(2j) = (-j2 - j12)/2 = -j7

For n = 0:

xs[0] = (x[0] + x*[0])/2 = (4-j5 + 4+j5)/2 = 4

xa[0] = (x[0] - x*[0])/2j = (4-j5 - 4+j5)/(2j) = 0

For n = 1:

xs[1] = (x[1] + x*[-1])/2 = (3+j5 + 2+j7)/2 = (5 + j12)/2 = 2.5 + j6

xa[1] = (x[1] - x*[-1])/2j = (3+j5 - 2-j7)/(2j) = (j2 + j12)/2 = j7

For n = 2:

xs[2] = (x[2] + x*[-2])/2 = (-2-j + -1-j3)/2 = (-3 - j4)/2 = -1.5 - j2

xa[2] = (x[2] - x*[-2])/2j = (-2-j - -1+j3)/(2j) = (-j2 + j2)/2 = 0

Therefore, for the sequence x1[n], we have:

Conjugate symmetric part (xs[n]) = {-2.5 + j4, 2.5 - j6, 4, 2.5 + j6, -1.5 - j2}

Conjugate antisymmetric part (xa[n]) = {0, -j7, 0, j7, 0}

(b) For the sequence x2[n] = ej2πn/5 + ejπn/3:

Since this sequence is a complex exponential sequence, it does not contain any conjugate symmetric or conjugate antisymmetric parts. In other words, both xs[n] and xa[n] will be empty sets.

Conjugate symmetric part (xs[n]) = {}

Conjugate antisymmetric part (xa[n]) = {}

(c) For the sequence x3[n] = jcos(2πn/7) - sin(2πn/4):

Similarly, since this sequence is a combination of cosine and sine functions, it does not have any conjugate symmetric or conjugate antisymmetric parts.

Conjugate symmetric part (xs[n]) = {}

Conjugate antisymmetric part (xa[n]) = {}

In conclusion:

(a) For the sequence x1[n], the conjugate symmetric part (xs[n]) is {-2.5 + j4, 2.5 - j6, 4, 2.5 + j6, -1.5 - j2}, and the conjugate antisymmetric part (xa[n]) is {0, -j7, 0, j7, 0}.

(b) For the sequence x2[n], both the conjugate symmetric part (xs[n]) and conjugate antisymmetric part (xa[n]) are empty sets.

(c) For the sequence x3[n], both the conjugate symmetric part (xs[n]) and conjugate antisymmetric part (xa[n]) are empty sets.

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In this scenario, Nasim is flying a kite and measures the angle of elevation from his hand to the kite as 28 degrees. The string from the kite to his hand is 105 feet long, and he wants to determine the height of the kite above the ground.

To find the height of the kite above the ground, we can use trigonometry. The angle of elevation forms a right triangle with the ground and the string. The opposite side of the triangle represents the height of the kite. Using the trigonometric function tangent (tan), we can set up the following equation: tan(28 degrees) = height of the kite / length of the string. Rearranging the equation, we get: height of the kite = length of the string * tan(28 degrees). Substituting the values given, we have: height of the kite = 105 feet * tan(28 degrees). Evaluating this expression, we can find the height of the kite above the ground. Remember to round the answer to the nearest hundredth of a foot if necessary.

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# Complete Question :-  Nasim is flying a kite, holding his hands a distance of 2.5 feet above the ground and letting all the kites string play out. He measures the angle of elevation from his hand to the kite to be 28 degree. If the string from the the kite to his hand is 105 feet long, how many feet is the kite above the ground? Round your answer to the nearest hundredth of a foot if necessary.

Answer:

They are 12, 13, 14 and 15.

Step-by-step explanation:

If the least integer is x, then:

x + x + 1 + x + 2 + x + 3 = 54

4x + 6 = 54

4x = 48

x = 12.

The value of angle A and B are 60° and 120° respectively.

It is important to note that in isosceles trapezoid, the angles adjacent to the bases are congruent.

Therefore A = D

B = C

When in the right angle, the hypothenuse is twice the leg, the angle opposite it will be:

ABK = 30°

Also, KBC = 90°

Therefore, B = 30° + 90° = 120°

A = D = 180° - 120° = 60°

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Complete question:

Given: ABCD trapeziod, AB=DC, BK - altitude, AB=8, AK=4

Find: mA and mB.