Multiple choice Inqualities.

To solve for x, we just need to compute the inverse of A (if it exists) and multiply it by b. If A is invertible, then this method will give us the unique solution to the linear system Ax=b.

To solve a linear system of the form Ax=b using inverse matrices, we can first find the inverse of matrix A (if it exists) and then multiply both sides of the equation by \(A^-1\), giving us:

\(A^-1Ax = A^-1b\)

Since\(A^-1A\) is the identity matrix I, we can simplify the left-hand side to just x:

\(x = A^-1b\)

However, it's worth noting that computing the inverse of a matrix can be computationally expensive, particularly for large matrices.

So, while using inverse matrices can be a useful technique for solving small systems, it may not be the most efficient approach for larger systems. In those cases, other techniques such as Gaussian elimination or LU decomposition may be more appropriate.

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Therefοre, Deb will have tο spend apprοximately $327 tο paint the wall οf area 186.98 ft²

Area is defined as the tοtal space taken up by a flat (2-D) surface οr shape οf an οbject.

Tο calculate the area οf the wall, we need tο find the area οf the rectangle and subtract the area οf the twο hexagοnal windοws.

The area οf the rectangle is:

25 feet × 9 feet = 225 ft²

The area οf each hexagοnal windοw can be fοund by dividing it intο 6 equilateral triangles and using the fοrmula fοr the area οf an equilateral triangle:

Area οf each hexagοnal windοw = 6 × (1/2) × (2 ft) × (2 ft) × √(3) = 12 √(3) ft²

Sο the tοtal area οf bοth hexagοnal windοws is:

2 × 12 √(3)  = 24√(3) ft²

Therefοre, the area οf the wall that needs tο be painted is:

225 ft² - 24 √(3) ft² ≈ 186.98 ft²

Tο find the cοst οf painting the wall, we can multiply the area by the cοst per square fοοt:

186.98 ft² × $1.75/ft² ≈ $327.71

Therefοre, Deb will have tο spend apprοximately $327 tο paint the wall (rοunded tο the nearest dοllar).

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Here it is:                                      

Distributive Property

A graphical plot with sales on the Y axis and time on the X axis is a:

a. Scatter diagram.

Using a single variable on each axis, the scatter diagram plots pairings of numerical data in an effort to identify any relationships between them. A line or curve will be formed by the points if the variables are correlated. The points will hug the line closer the more highly correlated the data is. You may also visualise the strength of any relationship. If the researcher believes there may be a correlation, a line of greatest fit can also be drawn on the graph.

Data points are shown on a horizontal and vertical axis using scatter plots in an effort to demonstrate the degree to which one variable is influenced by another.

Thus, correct option: a

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The efficiency of the system is approximately 54.5%. To calculate the efficiency of the system, we need to compare the actual number of students trained to the maximum capacity of the class.

In the given scenario, the maximum capacity per month is 1100 students, and the actual number of students trained in the past month is 600. Efficiency can be calculated by dividing the actual number of students trained by the maximum capacity and multiplying by 100 to express it as a percentage. Using the given values:

Efficiency = (Actual number of students trained / Maximum capacity) * 100

= (600 / 1100) * 100

≈ 54.5%. Therefore, the efficiency of the system is approximately 54.5%. This indicates that the class was utilized to around 54.5% of its maximum capacity in the past month.

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Answer:

Answer 93

Step-by-step explanation:

Answer:

11/18

Step-by-step explanation:

11/12 x 2/3
11*2/12*3
22/36
11/18

Answer:

y = -3x + 2

Step-by-step explanation:

To find the slope of an equation you can do (y2-y1)/(x2-x1). Plug the values in from the equation and you get (-1+7)/(1-3), or 6/-2. This means the slope is -3. Then you plug the values of y and x into an equation y = -3x + b, and you get -1 = (-3)1 + b. Solve for b. -1 = -3 + b, (add 3 to each side) 2 = b. Then plug b back into your equation and you get y = -3x + 2

Answer:

-3x+2=y

Step-by-step explanation:

u need to find the slope intercept formula which mx+b=y

m=slope

b=y-intercept

first u should find the slope which is y2-y1/x2-x1

point 1:(1,-1)

point 2:(3,-7)

-7+1/3-1=-6/2=-3

m=-3

now replace the variables

-3(1)+b=-1

-3 times 1=-3

-3+b=-1

add 3 to both sides

b=2

now the equation is -3x+2=y

9514 1404 393

Answer:

  (x, y) = (7, -1)

Step-by-step explanation:

The expression for x makes it easy to use that for substitution.

  3(-7y) +y = 20

  -20y = 20 . . . . . collect terms

  y = -1 . . . . . . . . . divide by -20

  -7(-1) = x = 7 . . . use y in the second equation to find x

The solution is (x, y) = (7, -1).

Answer:

d∅/dt = √2/5 Rad/sec

Step-by-step explanation:

According to the Question,

Solution,

Let x be the Distance between the base of the wall and the bottom of the ladder.

and let ∅ be the angle between the top of the ladder and the wall.

Then, Sin∅ =x/10  so, x=sin∅ *10

Differentiating with respect to time t we get,

dx/dt = 10 * cos∅ * d∅ /dt

Now, Put these value we get

2 = 10 *(cos(π/4))* d∅/dt

2 = 10/√2 * d∅/dt

d∅/dt = √2/5 Rad/sec

The lengths of the bottom chord and the king post are 25 ft and 10ft respectively.

king post = 10 ft

bottom chord = 25 ft

Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles.

Since the length of the bottom truss is 2.5 times the height of the truss. We can say:

AC = 2.5 * BD = 2.5BD

Since the length of the top chord is 21 ft and the overhang = 5 ft. We have:

BC = 21 - overhang

BC = 21 - 5 = 16 ft

AD = DC (Identical sides)

DC = AC/2 = (2.5BD)/2 = 1.25BD

Consider the right triangle BCD:

BC² = BD² + DC²      (Pythagoras)

16² = BD² + (1.25BD)²

256 = BD² + 1.5625BD²

256 = 2.5625BD²

BD² = 256 / 2.5625  

BD =  √99.90

BD = 10 ft

Since  AC = 2.5BD

AC = 2.5 * 10 = 25 ft

Therefore, the lengths of the bottom chord and the king post are 25 ft and 10ft respectively.

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The result of an average of more than 100% in a survey of tenants on cleaning chores in shared apartments is likely due to social desirability bias.

The average tenant response of more than 100% in a study about cleaning duties in shared apartments is probably the product of social desirability bias. Social desirability bias occurs when respondents give answers that they think are socially acceptable or desirable, rather than their true opinions or behavior.

In this case, tenants may have overstated their contribution to cleaning the apartment, in order to appear more helpful or responsible, leading to an average percentage higher than 100%.

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This scene is an example of dramatic irony used to create suspense since the audience knows that this joyous occasion will ultimately lead to tragedy.

In the scene, Lord Capulet is preparing for his daughter Juliet's wedding to Paris, while the audience knows that Juliet is already secretly married to Romeo. Lord Capulet's excitement and eagerness to prepare for the wedding create suspense and tension for the audience, who knows that this joyous occasion will ultimately lead to tragedy.

Furthermore, the use of music within the scene also adds to the suspense. The audience hears the music, which signifies the arrival of the wedding party, but also knows that this will lead to the revelation of Juliet's secret marriage.

The urgency in Lord Capulet's instructions to the Nurse to wake up Juliet and make haste heightens the tension for the audience, who are aware of the impending disaster.

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Complete Question:

Read the excerpt from Act IV, scene iii of Romeo and Juliet.

Capulet Good faith! this day:

The county will be here with music straight,

For so he said he would. [Music within.] I hear him near.

35

This scene is an example of dramatic irony used to create suspense since the audience knows that

The function of the given graph is y = 5x⁵. The graph of a polynomial function shows the given behavior if the power is the odd value(n = 5).

The general form of a graph with a polynomial function is y = aₙxⁿ. Where 'n is odd'

If aₙ > 0; then the behavior of the graph on the left and right sides are given by \(\lim_{x \to -\infty} f(x) =-\infty\) and \(\lim_{x \to \infty} f(x) =\infty\) respectively.

If aₙ < 0; then the behavior of the graph on the left and right sides are given by \(\lim_{x \to -\infty} f(x) =\infty\) and \(\lim_{x \to \infty} f(x) =-\infty\) respectively.

From the given graph's behavior,

Left side: \(\lim_{x \to -\infty} f(x) =-\infty\) and

Right side: \(\lim_{x \to \infty} f(x) =\infty\)

So, the coefficient aₙ is aₙ > 0. So, it may be 4 and 5.

Since the power of the variable x is n is odd, the equation of the given graph is y = 5x⁵.

So, option 4 is correct.

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Answer:

To convert 2 Bigha into Kattha:

If 1 Bigha = 20 Kattha:

2 Bigha = 2 * 20 Kattha = 40 Kattha

If 1 Bigha = 16 Kattha:

2 Bigha = 2 * 16 Kattha = 32 Kattha

Answer:

Range is the extension of the values across the x-y plane. We can see the data extends as far as -13 and as far as 11 so (-13,11)

Answer:

components: {16,11}, distance: 194.16 yards

Step-by-step explanation:

to find the length of a point to another point that has different y and x points you use the pythagorean theorem (a^2 + b^2 = c^2)

16 and 11 are the distances from her house

16^2 + 11^2 = c^2

c^2 = 377

c = 19.416...

but we dont stop here

we have to convert this to yards by multiplying it by ten

19.416 * 10 = 194.16 yards

Answer:

B

Step-by-step explanation:

Just did the test

h = 11.9 cm

cos = adjacent/ hypotenuse

therefore:

cos(24) = h/ 13

rearrange:

h = 13cos(24)

put into calculator:

h = 11.8760...

rounded to one decimal point:

h = 11.9cm

30+5v = 35v

hope this helps! :)

Answer:

35

Step-by-step explanation:

by

adding 30 to 5 and gives you 35

Answer:

a+b

Step-by-step explanation:

3a-2b-2a+3b = a + b

Hope this helps :3

using the euclidean model,  the sum of distances between qrs and its four vendors is g.14

What do you mean by the euclidean model?

A mathematical system known as Euclidean geometry is credited to the ancient Greek mathematician Euclid. It is detailed in his geometry textbook, the Elements. In Euclid's method, many more propositions (theorems) are derived from a small collection of axioms (postulates) that are intuitively attractive.

The distance of (0,0) is 0 ,similarly, distance from (2,0) is 2; (1,2) is 1 and (0,5) is 5 and (6,0) is 6.

the sum of all distances are (0+2+1+5+6) is 14.

Hence according to the euclidean model , the sum of all distances is 14.

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Answer:

13 degrees warmer

Step-by-step explanation:

Answer:

13 degrees Fahrenheit.

Step-by-step explanation:

The temperature started at -1 then raises to 12.

So, it goes -1,0,1,2,3,4,5,6,7,8,9,10,11,12, so it increases by 13 degrees Fahrenheit.

Divide by 2

Y = 2x - 2.5

x intercept: when y = 0

0 = 2x - 2.5

2.5 = 2x, x = 1.25

y intercept: when x = 0

Y = 2(0) - 2.5, y = -2.5

Solution: (1.25, 0) and (0, -2.5)

Answer:

reflection across the y- axis

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y )

Thus

The given transformation rule (x, y ) → ( - x, y )

Represents a reflection in the y - axis

The bottom of the ladder is moving away from the wall at a rate of 4 ft/s when the bottom is 8 ft from the wall.

The bottom of the ladder is moving away from the wall at a rate of 2 ft/s when the bottom is 8 ft from the wall. This is due to the fact that the ladder is leaning against the wall.

When the top of the ladder slides down the wall at a rate of

2 ft/s,

the bottom of the ladder will also be moving away from the wall at the same rate.

The rate of movement of the bottom of the ladder is determined by the angle of the ladder and its height.

To calculate the rate at which the bottom of the ladder is moving,

we need to use the Pythagorean Theorem.

Since

the height of the ladder is 16 ft

and the bottom of the ladder is 8 ft away from the wall,

the hypotenuse of the triangle will be the side of the triangle opposite the right angle and its length will be

16 - 8 = 8 ft.

Thus, the rate at which the bottom of the ladder is moving away from the wall is 8/2 = 4 ft/s.

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The function to model the path of the fireworks in the new location is -4.9(t - 4)^2 + 50

Given the height reached by the flight expressed as:

h(t) = -4.9(t - 4)^2 + 80

If the barge is relocated 30 meters to the east, the new function will be derived by subtracting 30 from the initial function

New function = -4.9(t - 4)^2 + 80 - 30

New function = -4.9(t - 4)^2 + 50

Hence the function to model the path of the fireworks in the new location is -4.9(t - 4)^2 + 50

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Proportion refers to the relationship between two or more quantities or values. It is a statement that two ratios are equal.

If 1/3 cups of garlic makes 10 servings of the soup

x cups of garlic makes 40 servings of the soup

x = 1/3 * 40/10

x = 1/30 * 40

x = 4/3

If 1/4 cups of tomato paste make 10 servings of the soup

x cups of tomato paste makes 60 servings of the soup

x = 1/4 * 60/10

x = 6/4

If 3/2 cups of chopped carrot is needed to make 10 servings of the soup

x cups of chopped carrot is needed to make 30 cups of the soup

x = 3/2 * 30/10

x = 9/2 or 4 1/2

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Answer: x > 3

Step-by-step explanation:

We have the inequality:

-4*(2*x - 7) < 10 - 2*x

We want to find the possible values for x.

first, we expand the left side.

-8x + 28 < 10 - 2x

now we want to have all the terms with x in one side and the terms without x in the other side.

-8x + 2x < 10 - 28

-6x < -18

now we divide both sides by -6, as we divide by a negative number, the direction of the inequality changes:

x > 18/6 = 3

x > 3

This means that x must be larger than 3.

Answer:

Sally is 10 miles

The coordinate ofthe deli is (1, -1)

Step-by-step explanation:

✍️Coordinate of Sally = (-3, 2)

Coordinate of Ocean Front = (5, -4)

The distance of Sally to Ocean Front Housing Complex = the distance between point (-3, 2) and (5, -4).

Use the distance formula, \( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \), to calculate the distance between (-3, 2) and (5, -4):

\( d = \sqrt{(5 -(-3))^2 + (-4 - 2)^2} \)

\( d = \sqrt{(8)^2 + (-6)^2} \)

\( d = \sqrt{64 + 36} \)

\( d = \sqrt{100} = 10 \)

✅The distance of Sally is 10 miles

✍️the coordinate of Deli would be half the distance between Sally and Ocean Front.

Therefore, use the midpoint formula to calculate the coordinate of the midpoint between Sally (-3, 2) and Ocean Front (5, -4).

Midpoint of (-3, 2) and (5, -4).

\( M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) \)

Plug in the values

\( M(\frac{-3 + 5}{2}, \frac{2 +(-4)}{2}) \)

\( M(\frac{2}{2}, \frac{-2}{2}) \)

\( M(1, -1) \)

✅The coordinate ofthe deli is (1, -1)