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

Answer:

for the teacher to see are u a hard working student

Step-by-step explanation:

As a result, the extreme stem values may contain fewer rows than the other stem values. In our graph, the extreme stem values are 1 and 4, and they both have fewer rows than the middle values (2 and 3).

The shape and spread of a continuous data distribution are depicted by stem and leaf plots. These graphs are similar to histograms, but instead of bars, they display numbers.

Statistical software packages use an algorithm to improve our ability to read stem and leaf plots by displaying multiple rows of each stem value based on the properties of the data, as shown in the body fat percentage graph. There are two ones, five twos, five threes, and four fours.

The graph divides stem values into five rows for the body fat percentage data. Each row only has two leaf values (e.g., 0 and 1, 2 and 3, etc.) The leaf values terminate at the dataset's minimum and maximum values.

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Answer:

x=17/4

Step-by-step explanation:

An augmented matrix is invertible if the linear system has a unique solution.

The augmented matrix is known as a rectangular matrix.

The properties of an augmented matrix includes:

Note that the inverse of a matrix must be unique

And If A is invertible, then its inverse is unique.

If the linear system is unique, then the augmented matrix is invertible.

Thus, an augmented matrix is invertible if the linear system has a unique solution.

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Answer:

15/56

Step-by-step explanation:

5/8 x 3/7 = (5x3)/(8x7) = 15/56

Hope it helps!

The ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is (2, -1).

option C.

The ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is determined as follows;

The four points include;

A = (1, 2)

B = (2, - 3)

C = (-2, - 2)

D = (-3,  1)

The  ordered pair that can be plotted together with these four points, must fall withing these coordinates. Going by this condition we can see that the only option that meet this criteria is;

(2, - 1)

Thus, the ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is (2, -1).

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Answer:

Step-by-step explanation:

Sum of all the angles is 180

<A + 90 + 50 = 180

<A + 140 = 180

<A =  40

Use cos x = adjacent side/hypotonuse

Use 50 as your reference angle

cos 50  = 19/c          >cross multiply

c cos 50 = 19            >divide both sides by cos 50 to solve for c

c= 19/cos 50            >plug in

c=29.6

Now use tan x = opposite side/ adjacent side

Use 50 as your reference angle

tan 50 = b/19             >multiply both sides by 19

b= 19 tan 50              >plug in

b= 22.6

The next crow observed will be black is not supported by the premises in any meaningful way. The premises do not guarantee the outcome of the next observation.  Argument B is the stronger argument.

Argument A is an example of an inductive argument, as it generalizes from a limited sample to make a broader claim about the entire population. This argument form is called induction and can be evaluated on its strength.

Argument B is a deductive argument, as it uses a conditional premise to reach a definite conclusion. In this form of argument, the conclusion necessarily follows from the premises. The strength of a deductive argument depends on the logical structure of the premises and conclusion.

The better argument of the two is argument B. Because in deductive arguments, the conclusion necessarily follows from the premises if the premises are true.

And this argument, the premises state that if 90% of observed crows are black, then the next crow observed will be black.

Additionally, it is also claimed that 90% of observed crows are black. Therefore, it can be logically deduced that the next crow observed will be black

The argument in A, however, is an inductive argument, where the conclusion is not necessarily true even if the premises are true. Even if 90% of observed crows are black, it does not necessarily follow that 90% of all crows are black.

argument B is the stronger argument.

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Answer:

The solution of the system of equations are;

(-2, -6) and (4, 6)

Step-by-step explanation:

-2·x + y = -2...............(1)

\(y = -\dfrac{1}{2} \cdot x^2 + 3 \cdot x + 2\)........(2)

Equation (1) gives;

y = 2·x - 2

From which we have;

\(2 \cdot x - 2 = -\dfrac{1}{2} \cdot x^2 + 3 \cdot x + 2\)

\(0= -\dfrac{1}{2} \cdot x^2 + x + 4\)

x² -2·x -8 = 0

(x - 4)·(x + 2) = 0

x = 4 or x = -2

The y-coordinate values are;

y = 2×(-2) - 2 = -6 and y = 2×(4) - 2 = 6

The solution points are;

(-2, -6) and (4, 6).

The points where the equation, -2·x + y = -2 and the equation \(y = -\dfrac{1}{2} \cdot x^2 + 3 \cdot x + 2\) intersect are  (-2, -6) and (4, 6).

Yes ,  Also ab is congruent to st.

What is congruent ?

The term “congruent” means exactly equal shape and size. This shape and size should remain equal, even when we flip, turn, or rotate the shapes.

The word 'congruent' means 'exactly equal' in terms of shape and size. Even when we turn, flip, or rotate the shapes, they remain equal. For example, draw two circles of the same radius, then cut them out and place them on one another.

Have given,

ab ≅ jk and also jk ≅ st

Then When ab is congruent to jk and jk is true, it means that the shape and size of what we have now is equal to jk and the shape and size of jk is equal to st So the size of our jk will also be equal to st.

ab ≅ jk ≅ st

Yes ,  Also ab is congruent to st.

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Answer:

answer in pic

Step-by-step explanation:

The proof of the right-triangle is: \(a^{2} + b^{2}=(c)^{2}\\\).

To prove that \(a^{2} + b^{2}=(c)^{2}\\\).

The Pythagorean triple can be described as any three set of integers representing sides of a right triangle that are solutions to the Pythagorean Theorem, which is given as:

\(a^{2} + b^{2}=(c)^{2}\\\)

Given that:

To proof:

The proof of the right-triangle is:

\(a^{2} + b^{2}=(c)^{2}\)

from question it is given that

c=e +f

By Pythagoras theorem, we have:

\(a^{2} + b^{2}=(f+ e)^{2}\)

Therefore, the proof of the right-triangle is:

\(a^{2} + b^{2}=(c)^{2}\\\)

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Answer:

Step-by-step explanation:

let a be the first term and r be common ratio.

\(a_{3}=ar^2=-45\\a_{5}=ar^4=-405\\divide\\\frac{ar^4}{ar^2} =\frac{-405}{-45} =9\\r^2=9\\r=\pm3\\9a=-45\\a=-5\\a_{7}=ar^{7-1}=ar^6=ar^4 \times r^2=-405 \times 9=-3645\)

75% of the men professors are tenured.

Let's assume there are 100 professors at the university for easier calculations. Given that 60% of the professors are women, we have 60 women professors.

Given that 70% of the professors are tenured, we have 70 tenured professors.

Since 90% of the professors are women, tenured, or both, we can calculate the total number of professors who are women or tenured or both:

90% of 100 professors = 0.9 * 100 = 90 professors

Since we know that 60 of them are women, we can subtract that from the total to find the number of tenured professors who are not women:

90 professors - 60 women professors = 30 tenured professors who are not women

Now, let's calculate the number of men professors:

Total professors - Women professors = Men professors

100 professors - 60 women professors = 40 men professors

Out of the 40 men professors, 30 of them are tenured. Therefore, the percentage of men who are tenured is:

(30 tenured men / 40 men professors) * 100% = 75%

Therefore, 75% of the men professors are tenured.

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Answer: If line m is rotated 90 degrees clockwise about the point of interection, line m would overlap with n

Step-by-step explanation:

Answer:

The chord is drawn below

Step-by-step explanation:

The vertex of the function f(x) = |x + 8| - 3 is (-8, -3).

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given is an absolute value function,

f(x) = |x + 8| – 3

For a function of the form,

f(X) = a |x - h| + k, the vertex of the function is the point (h, k).

Comparing the equation with the given one,

f(x) = |x + 8| – 3

f(x) = |x - (-8)| + (-3)

So we get, h = -8 and k = -3.

So vertex is (-8, -3).

Hence the vertex is (-8, -3).

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Answer: 18

Step-by-step explanation:

90 / 10 = 9 (10%)

9 x 8 = 72 (80%)

90 - 72 = 18 (20%)

In signed magnitude integer, the most significant bit (MSB) represents the sign of the number (0 for positive, 1 for negative), while the rest of the bits represent the magnitude of the number. So for the bit pattern 01101001, the most significant bit is 0, indicating a positive number.

To find the decimal representation of the bit pattern 01101001, we simply convert it from binary to decimal. We can use the following formula to do this :decimal = a0 × 2^0 + a1 × 2^1 + a2 × 2^2 + ... + an-1 × 2^(n-1)where a0 through an-1 are the binary digits, from least significant to most significant. For the bit pattern 01101001, we have:a0 = 1a1 = 0a2 = 0a3 = 1a4 = 0a5 = 1a6 = 1a7 = 0Plugging these values into the formula, we get: decimal = 1 × 2^0 + 0 × 2^1 + 0 × 2^2 + 1 × 2^3 + 0 × 2^4 + 1 × 2^5 + 1 × 2^6 + 0 × 2^7= 1 + 0 + 0 + 8 + 0 + 32 + 64 + 0= 105Therefore, the decimal number that the bit pattern 01101001 represents as a signed magnitude integer is +105.

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9514 1404 393

Answer:

  1

Step-by-step explanation:

From your knowledge of multiplication tables, you know that ...

  8 = 2×2×2 = 2³

  4 = 2×2 = 2²

so the problem can be rewritten as ...

  \(\dfrac{8^4}{4^6}=\dfrac{(2^3)^4}{(2^2)^6}=\dfrac{2^{3\cdot4}}{2^{2\cdot6}}=\dfrac{2^{12}}{2^{12}}=\boxed{1}\)

__

The applicable rule of exponents is ...

  (a^b)^c = a^(bc)

______

Alternate solution

You could use 8^2 = 64 and 4^3 = 64. Then this is (8^2)^2/(4^3)^2 = 64^2/64^2, where the common base is 64, not 2.

Answer:

a+b+c +90+90 = 540

Step-by-step explanation:

A five sided figure has interior angles that add to 540

a+b+c +90+90 = 540

A family of many generations but with only a few members of each generation is called a beanpole family pattern

A Beanpole family is a multi-generational family that is long and thin with few aunts, uncles and grandparents. This is a result of extended life expectancy and fewer children being born.

A generation refers to all of the people born and living at about the same time, regarded collectively.

Hence, A family of many generations but with only a few members of each generation is called a beanpole family pattern

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Answer:

-10p/3+32-3/2^p

Step-by-step explanation:

During the change-of-shift report, you would provide an SBAR (Situation, Background, Assessment, Recommendation) framework report to the oncoming nurse for A.B., a 68-year-old man admitted with pleural effusion and pneumonia.

In the Situation section, you would start by stating that A.B., a 68-year-old man, was admitted with pleural effusion and pneumonia. You would mention his presenting symptoms of shortness of breath, chest pain, weakness, and a dry, irritating cough. Provide the vital signs: blood pressure 142/82 mmHg, heart rate 118 beats per minute, respirations 38 breaths per minute (labored and shallow), temperature 102.1°F (38.9°C), and Spo2 of 85% on room air.

In the Background section, you would mention that a thoracentesis was performed, draining 1500 mL of fluid, and a specimen for culture and sensitivity (C&S) was sent to the lab. Explain that A.B. was started on ceftriaxone 500 mg IV every 12 hours, but the pleural C&S results showed a large amount of Klebsiella organism growth that is not sensitive to ceftriaxone.

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By using the concepts of Application of derivatives(A.O.D.) we get that in order to reach the cabin point P is to be 25  feet away from the cabin.

The concept of derivatives has been used on a small scale and a large scales. The concept of derivatives is used in many ways such as change of temperature or rate of change of shapes and sizes of an object depending on the conditions etc.,

The concept is to find that point such that the derivative of a given function will be zero, as we need to find the local minima.

So after drawing the picture according to the given question

Naming image as from left side APBCD in anticlockwise sense

Assume ,P is at x feet from the cabin, therefore ,AP=(100-x) feet

Using Pythogoras Theorem

\(AP^{2}+AD^{2}=PD^{2}\)

=>\(PD^{2}=AP^{2}+AD^{2}\)

=>PD=\(\sqrt{AP^{2}+AD^{2} }\)

=>PD=\(\sqrt{(100-x)^{2}+(100)^{2} }\)

Now, we have rate in terms of time, so we applying differentiation on both sides of equation with time

We also know

differentiation of \(\sqrt{x}\) is 1/2×\(\sqrt{x}\)

Differentiating both sides with time t

d(PD)/dt= \(\frac{1}{2\sqrt{(100-x)^{2}+(100)^{2} } }2\frac{x-100}\)×dx/dt

We have given d(PD)/dt as 3ft/sec and dx/dt as 5 ft/sec

After putting the values

=>3=\(\frac{(x-100)}{\sqrt{(100)^{2}+(100-x)^{2} } }\)     ×5

After squaring on both sides and moving x on one side of equation and constant term on the other side of equation we get

100-x=\(\sqrt{9/16 }\)×100

100-x=75

=>x=25feet

Hence Point p should be at 25 feet from the cabin

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Answer: a = 115°

Reason Co interior angles add up to 180°

a + 65 = 180

a = 180 - 65

a = 115

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For a bacteria population which become doubles in every 10 hours and the initial 20 bacteria number. Then the bacteria population after two and half days is equal to the 113.14.

There is a certain type of bacteria. The favorable growth medium, doubles in population every 10 hours. Initial bacteria population, a₀ = 20

We have to determine number of bacterias will there be in two and a half days, x = 2 + 1/2

= 5/2 days

The exponencial growth function that makes this work is written as

\(y = a_02^x\), where

Since they double every 10 hours. So, the equation is written by,

\(y = 20 × 2^{5/2} \)

= 113.14

Hence, required value is 113.14.

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Brandon have to pay  $28.75 to buy 5 pounds of walnuts.

By problem;

Price per pound= $6.50

Quantity to be purchased = 5 pounds

Discount available= $3.75

Expression:- 6.50pp-3.75     (where pp is a variable for pounds of walnut)

Amount to be paid= 6.50 * 5 - 3.75

Amount to be paid  =$28.75

Therefore, Brandon has to pay $28.75 to purchase 5 pound of walnuts.

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Answer:

1.  Y = -1/4x + 1

3. Y = 2/5x + 1

5. Y = 4/5x + 5

7. Y = -x + 5

9. Y = -5/2x - 16

Step-by-step explanation:

Find the slope using the formula

Use the slope and one of the points to find the y-intercept

Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line.