4.)Given m = 1/2 and the point (3, 2), which of the following is the point-slope form of the equation?


y - 2 = 1/2(x - 3)


y + 3 = 1/2(x + 2)


y - 3 = 1/2(x - 2)


y + 2 = 1/2(x + 3)

if a data set has many extremely small data values,than the median will be the same as the mean

No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.

According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.

If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.

Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.

However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.

Therefore,  if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.

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Answer:

x = 44

Step-by-step explanation:

3x - 5 is complementary to y° so their sum is 180°

The angle with measure 127° is also complementary with y°

127 + y = 180

y = 53°

53 + 3x - 5 = 180

3x + 48 = 180

3x = 132

x = 44

Answer:

x^2 + 8x + 15

Step-by-step explanation:

( x + 3 ) ( x + 5 )

1. distribute

( x + 3 ) ( x + 5 )

x^2 + 3x + 5x + 15

2. simplify

x^2 + 8x + 15

The point (2,-4) satisfies y < 3x - 6

Answer:

until you only look at the thousands and hundreds place and if the hundred is 5 or more you round the thousands up one

so  3,842,532 rounded the the nearest 1000 is 3,843,000

The inverse function of f(x) = 3x + 5 is given as follows:

C. p(x) = 1/3x - 5/3.

The function in the context of this problem is defined as follows:

f(x) = 3x + 5.

To obtain the inverse function, first we must exchange the variables x and y, hence:

y = 3x + 5

x = 3y + 5.

Now we must isolate the variable y, hence:

3y = x - 5

y = (x - 5)/3.

p(x) = 1/3x - 5/3.

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Answer:

48/13

Step-by-step explanation:

To make this into an improper fraction, convert the integer into a fraction using the denominator of the fraction

3 * 13/13 = 39/13

Then add it to the rest of the fraction

39/13 + 9/13

= 48/13

Answer: 48/13

Step-by-step explanation: first multiply 3 x 13 to get 39. do this because you get the fraction for the whole number, 3. then, add 39 to the numerator (9). you will get 48/13. you do this because you are adding the whole number (3) to the fraction so that way it is an improper fraction.

Answer:

The coefficient of \(x^{4}\)\(y^{3}\) is -280

Step-by-step explanation:

Solving the Binomial expansion using the Pascal's triangle, it would be observed that an expansion to the power of 7 can be solved using;

1  7  21  35  35  21  7  1

Thus;

\((x - 2y)^{7}\) = 1. \(x^{7}\) + 7.\(x^{6}\)(-2y) + 21.\(x^{5}\)\((-2y)^{2}\) + 35.\(x^{4}\)\((-2y)^{3}\) + 35.\(x^{3}\)\((-2y)^{4}\) + 21.\(x^{2}\)\((-2y)^{5}\) + 7.x\((-2y)^{6}\) + \((-2y)^{7}\)

        = \(x^{7}\) -14\(x^{6}\)y +84\(x^{5}\)\(y^{2}\) -280\(x^{4}\)\(y^{3}\) + 560\(x^{3}\)\(y^{4}\) - 672\(x^{2}\)\(y^{5}\) + + 448x\(y^{6}\) - 128\(y^{7}\)

Therefore, the coefficient of \(x^{4}\)\(y^{3}\) is -280

The exchange rate between Japanese Yen and Nepali Rupees in this case is given by Rs 0.92 per Yen.

The exchange rate between Japanese Yen and Nepali Rupees is

1 JPY = 0.7184 NPR

Therefore, the exchange rate is  6,852 JPY = 6,320 NPR

Therefore, the exchange rate between Japanese Yen and Nepali Rupees is 0.7184 NPR per 1 JPY.

The exchange rate between Japanese Yen and Nepali Rupees is given by the following formula:

Exchange Rate = (Total Amount in Nepali Rupees/Total Number of Japanese Yen)

Exchange Rate = (Rs 6320/6852 Yens) = Rs 0.92 per Yen.

Therefore, the exchange rate between Japanese Yen and Nepali Rupees in this case is given by Rs 0.92 per Yen.

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The domain restrictions for (f/g)(x) are (c) x = 0, 6

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

f(x) = x² - 5x - 6

g(x) = x² - 6x

The composite function (f/g)(x) is calculated as

(f/g)(x) = f(x)/g(x)

substitute the known values in the above equation, so, we have the following representation

(f/g)(x) = (x² - 5x - 6 )/(x² - 6x)

For the domain restriction, we have

x² - 6x = 0

When solved, we have

x =  6 or x = 0

Hence, the domain restrictions for (f/g)(x) are (c) x = 0, 6

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Question

Given f(x) = x² - 5x - 6 and g(x) = x² - 6x, what are the domain restrictions

for (f/g)(x)?

A) x = +6

B) x = 0

C) x = 0,6

D) x = -2,6

The value of scale factor of the graph is, 1/2.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Triangles are shown in figure.

Now, Triangle ABC and A'B'C' are shown in figure.

Hence, The length of AB is,

AB = √(2 - 0)² + (2 - 0)²

AB = √8

AB = 2√2

A'B' = √(4 - 0)² + (4 - 0)²

A'B' = √16 + 16

A'B' = √32

A'B' = 4√2

Hence, The value of scale factor of the graph is,

AB / A'B' = 2√2/ 4√2

              = 1/2

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Answer:

width = 5.29 ft

Step-by-step explanation:

a² + 6² = 8²

a²  = 64 - 36

a² = 28

a = √28

a = 5.29 ft

Answer:

The width of rectangular blanket is 5.29 ft.

Step-by-step explanation:

As per given question we have provided that :

Here's the required formula to find the width of rectangular blanket :

\(\longrightarrow\pmb{\sf{d = \sqrt{(l)^{2} + (w)^{2}}}}\)

Substituting all the given values in the formula to find the width of rectangular blanket :

\(\longrightarrow{\sf{d = \sqrt{(l)^{2} + (w)^{2}}}}\)

\(\longrightarrow{\sf{8 = \sqrt{(6)^{2} + (w)^{2}}}}\)

\(\longrightarrow{\sf{{(8)}^{2} = {(6)^{2} + (w)^{2}}}}\)

\(\longrightarrow{\sf{{(8 \times 8)} = {(6 \times 6)+ (w)^{2}}}}\)

\(\longrightarrow{\sf{{(64)} = {(36)+ (w)^{2}}}}\)

\(\longrightarrow{\sf{(w)^{2} = 64 - 36}}\)

\(\longrightarrow{\sf{(w)^{2} = 28}}\)

\(\longrightarrow{\sf{w= \sqrt{28}}}\)

\(\longrightarrow{\sf{w= 5.29 \: ft}}\)

\({\star\underline{\boxed{\sf{\purple{w= 5.29 \: ft}}}}}\)

Hence, the width of rectangular blanket is 5.29 ft.

\( \rule{300}{2.5}\)

The greatest distance that can be filmed by the drone is 6374.5 km. Rounded to the nearest kilometer, 6375 km.

Now, For the greatest distance that can be filmed by a drone with a maximum altitude of 0.12 km, we can use the Pythagorean theorem.

Let's a right triangle with one leg being the radius of the Earth 6378 km and the other leg being the maximum altitude of the drone 0.12 km.

Hence, The hypotenuse of this triangle represents the line of sight from the drone's camera to the horizon.

Hence, By Using the Pythagorean theorem, we can solve for the length of the hypotenuse:

h² = 6378² + 0.12²

h = √40684000.145

h = 6374.5 km

Therefore, The greatest distance that can be filmed by the drone is 6374.5 km. Rounded to the nearest kilometer, 6375 km.

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The median age of the 120 people seated in the first five rows of the concert was 31.

Value is an important concept in economics and business. It is the worth of goods, services, or assets that is determined by the market or by an individual. It can be measured in terms of money, time, or effort. Value is also used to describe a person’s sense of worth or importance. Values can be seen as the principles, standards, or goals that guide an individual’s actions and decisions. Ultimately, value is subjective and is held by each person and can change over time.

The box and whisker plot provided by the sponsor shows the ages of the 120 people seated in the first five rows of the concert. The box and whisker plot shows a minimum value of 18, a maximum value of 45, a median of 31, a first quartile of 24, and a third quartile of 37. This indicates that 50% of the 120 people in the first five rows had an age of 31 or below, and 50% of the 120 people had an age of 37 or above. The median age of the 120 people seated in the first five rows of the concert was 31.

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The congruence for two figures can be stated using the sign of congruence which is ≅.

According to the question,

We have the following information:

We need to write a statement to show congruence.

We know that the symbol ≅ is used to state the fact that the two figures are congruent or in other words it can be said that their corresponding sides and angles are congruent.

For example, if we write ΔABC ≅ ΔDEF then it means that these two triangles are congruent.

Hence, the congruence for two figures can be stated using the sign of congruence which is ≅.

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Answer:

D. 81

Step-by-step explanation:

I am in the same class as you, I took the quiz and the answer was 81

Answer: A = 2,034.356 ≈ $2,034.36

$2,034.36 will be in the account in 3 years

Step-by-step explanation:

Given that ;

P = $1,700

Rate r = 6%

Time period (t) = 3 years

now to find how much money will be in the account in 3 years

we say;

A = P ( 1 + r/n )^nt

A = 1,700 ( 1 + 0.06/12) ¹²ˣ³

A = 1,700 ( 1.19668)

A = 2,034.356 ≈ $2,034.36  

Answer:

6-x=3  4-x=1 96 divided by x = 32

Step-by-step explanation:

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Answer:

24x-18+6

Step-by-step explanation:

24x-18+6, 6+-18=-12, 24x-12=24x-2

By applying the formula of trigonometric function the right hand side will

be equal to right hand side which is 1-\(tan^{2} x\)/\(sec^{2}x\)=cos2x.

Given: 1-\(tan^{2} x\)/\(sec^{2}x\)=cos2x.

Taking right hand side first which is cos2x.

We know that cos2x=\(1-tan^{2}x/1+tan^{2}x\)

Now we will solve the left hand side of the equation give which is

1-\(tan^{2} x\)/\(sec^{2}x\)

=1-\(tan^{2}x\)/1+\(tan^{2}x\)

[secant square x minus tangent square x is equal to 1]

By putting both values left hand side and right hand side we will find our solution which is :

1-tan^{2}x/1+tan^{2}x=1-\(tan^{2}x\)/1+\(tan^{2}x\).

Hence proved

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Answer:

75

Step-by-step explanation:

a^2+b^2=c^2

plug 21 and 72 for a and b respectively. Once plugged, c will equal 75.

Answer: C. 2

Step-by-step explanation: you add 2x and x to get 3x. Then add 6 to the other side to get 3x = 6. Then divide 6 by 3 to get x=2

The length of the third side of the triangle, to the nearest hundredth, is approximately 54.75 units.

1. We have a triangle with two known side lengths: 43 and 67 units.

2. The angle included between these sides measures 27 degrees.

3. To find the length of the third side, we can use the Law of Cosines, which states that \(c^2 = a^2 + b^2\) - 2ab * cos(C), where c is the third side and C is the included angle.

4. Plugging in the known values, we get \(c^2 = 43^2 + 67^2\) - 2 * 43 * 67 * cos(27).

5. Evaluating the expression on the right side, we get \(c^2\) ≈ 1849 + 4489 - 2 * 43 * 67 * 0.891007.

6. Simplifying further, we have \(c^2\) ≈ 6338 - 5156.898.

7. Calculating \(c^2\), we find \(c^2\) ≈ 1181.102.

8. Finally, taking the square root of \(c^2\), we get c ≈ √1181.102 ≈ 34.32.

9. Rounding to the nearest hundredth, the length of the third side is approximately 34.32 units.

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None of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.

To find the slope of the red line given that it is perpendicular to the green line with a slope of 2, we can use the property that perpendicular lines have slopes that are negative reciprocals of each other.

The slope of the green line is 2. To find the slope of the red line, we take the negative reciprocal of 2. The negative reciprocal is obtained by taking the reciprocal (flipping the fraction) and changing the sign.

Reciprocal of 2: 1/2

Negative reciprocal: -1/2

Therefore, the slope of the red line is -1/2.

However, none of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.

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Answer:

BL

Step-by-step explanation:

because it goes in both directions infintely

Hi there, here's your answer:

To find the answer to this question, let us review all the options given in the question.

a) BL

BL being two ends of a given line that extends infinitely along its axis, forms a line.

b) GK

GK being two distinct lines do not join and hence do not form an independent line.

c) EB

E being a point on the line BL and B being one end of a larger line form a ray.

d) HI

HI being two points on a line GJ form a line segment, which is finite and has definite end points.

Thus, the answer to this question is (a).

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Answer:

47*

Step-by-step explanation:

Each corner of the square is 90*

angle CBE + angle ABE = 90*

fill in the blanks

43 + x = 90

subtract 43 from both sides

x = 47*

Answer:

it would be 32

Step-by-step explanation:

you would add them all up then divide it by five

Answer: The answer is 32