What is the solution to the equation below? √x+9 = 11 O A. x= 2 O B. X= √ O C. x = 42 D. x = 4

Step-by-step explanation:

I hope this answer is helpful ):

Answer:

the are so many numbers but here's one of them

Step-by-step explanation:

Since the number is less than 700, it cannot begin with a 7 or an 8.

So the hundreds digit can only be a 2 or a 5.

Now the tens digit can be any digit not occupying the hudreds digit. So there would be 3 possibilities, and there remain two possibilities for the units digit.

Hence, the number of such numbers is 2x3x2 which is 12.

The number of two-digit or three-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 will be 150.

A sample is a group of clearly specified components. The number of items in a finite set is denoted by a curly bracket.

The number of two-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 is calculated as,

⇒ 5 x 5

⇒ 25

The number of three-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 is calculated as,

⇒ 5 x 5 x 3

⇒ 125

The number of two-digit or three-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 is calculated as,

⇒ 125 + 25

⇒ 150

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Answer:

i think its c im not sure

Step-by-step explanation:

Answer:31

Step-by-step explanation:

You take 73 and subtract 11 and get 62 then divide it by 2 and you get 31

Convert the problem to standard form and write the initial tableau with slack variables:

Maximize

\(Z = 7*3 + 6*4 + 18*5 + 14*6 - 3*1 - 3*2 - 4*5 - 4*6\)

Subject to:

\(x1 + x2 + s1 = 4000\\x3 - (1/3)*1 + (1/3)*5 = 0\\x4 - (1/3)*2 + (1/2)*6 = 0\\x3*1 + 3*2 + 3*3 + 3*4 + 3*5 + 2*6 + s2 = 6000\)

All variables are non-negative.

Tableau

 x1  x2  x3  x4  x5  x6  s1  s2   b

Z -3 -3 7 6 18 14 0 0 0

s1 1 1 0 0 0 0 1 0 4000

s2 3 3 3 3 3 2 0 1 6000

x5 0 0 1 0 1/3 0 0 0 0

x6 0 0 0 1 0 1/2 0 0 0

The basic variables are s1, s2, x5, and x6.

Step 1: Choose  entering variable. The most positive coefficient in objective row is 18, corresponding to x5. x5 enters the basis.

Step 2: Choose the leaving variable. The minimum ratio of right-hand side to coefficient of x5 is 12000/(1/3) = 36000,

corresponding to s1. s1 leaves the basis.

Step 3: Perform, pivot operation to make x5 the basic variable for s1. Divide, pivot row by 1/3 and subtract appropriate multiples of the pivot row from other rows to make other entries in column 5 zero.

 x1    x2    x3    x4     x5     x6   s1    s2       b

Z -3 -3 7 6 18 14 0 0 0

x5 0 0 1 0 1/3 0 0 0 0

s2 3 3 3 3 2 2/3 2/3 0 1/3 24000

x3 1 0 1/3 0 1/3 0 -1/3 0 0

x4 0 1 0 1/3 0 1/2 -1/6 0 0

The basic variables are x5, x3, x4, and s2.

Step 4: Choose the entering variable. The most positive coefficient in the objective row is 7, corresponding to x3. x3 enters the basis.

Step 5: Determine the leaving variable. The right-hand side's minimum ratio to the coefficient of x3 is 0, indicating that x3 can be increased without bound. This implies that the optimal solution is unbounded and that there is no finite optimal value for the problem.

As a result, the simplex algorithm demonstrates that the given linear programming problem lacks a feasible solution. This means that it is not possible to meet all of the constraints at the same time.

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The correct statement is: On a coordinate plane, an absolute value graph has a vertex at (0, 1).

The function p(x) = |x - 1| represents an absolute value function. The vertex of an absolute value function in the form f(x) = |x - h| + k is given by the point (h, k). In this case, the function p(x) = |x - 1| has a vertex at (1, 0).

Therefore, none of the provided options accurately represents the vertex of the function p(x) = |x - 1|. The correct vertex for this function is (1, 0), which means the vertex is at x = 1 and y = 0 on the coordinate plane. It is important to note that the vertex is located at (h, k) where h represents the x-coordinate and k represents the y-coordinate.

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The coordinates of Kyle's house would be (x - 4, y + 2) relative to Luke's house, where x and y represent the Coordinates of Luke's house on the coordinate grid.

The grid representing Kyle's house. However, based on the given information, we can determine the coordinates of Kyle's house relative to Luke's house.

If Luke's house is located at the point (x, y), then Kyle's house is located 4 units to the left of Luke's house, which means the x-coordinate of Kyle's house is (x - 4). Similarly, Kyle's house is located 2 units up from Luke's house, which means the y-coordinate of Kyle's house is (y + 2).

Therefore, the coordinates of Kyle's house would be (x - 4, y + 2) relative to Luke's house, where x and y represent the coordinates of Luke's house on the coordinate grid.

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The resulting equation will represent a line whose slope is 1/2 times the slope of the line

The equation of the line is given as:

y = 3x/a + 5

The constant a is a positive constant.

So, when the value of a in the equation is doubled, we have:

y = 3x/2a + 5

A linear equation is represented as

y = mx + b

Where m represents the slope.

So, we have:

m1 = 3/a

m2 = 3/2a

Substitute m1 = 3/a in m2 = 3/2a

m2 = 1/2 * m1

Hence, the resulting equation will represent a line whose slope is 1/2 times the slope of the line

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Using Pythagorean theorem, the length of the ladder is 10ft

In mathematical terms, if y and z are the lengths of the two shorter sides (also known as the legs) of a right triangle, and x is the length of the hypotenuse, the Pythagorean theorem can be expressed as:

x² = y² + z²

In the questions given, the only one we can use Pythagorean theorem to solve is the one with ladder since it's forms a right-angle triangle.

To calculate the length of the ladder, we can write the formula as;

x² = 8² + 6²

x² = 64 + 36

x² = 100

x = √100

x = 10

The length of the ladder is 10 feet

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Answer:

Option A is correct.

Step-by-step explanation:

1. solve the inequalities

2. find the intersection :)

Equations express relationships between variables and constants. The solutions to two-variable equations consist of two values, known as ordered pairs, and written as (a, b) where "a" and "b" are real-number constants. An equation can have an infinite number of ordered pairs that make the original equation true.

Here, the given equation is,

Rewriting this equation in terms of x, we have,

So, now creating a table, with the values, we get the ordered pair. For example, let us take x as 1, then ,

So, (1,0) is an ordered pair in this equation.

If x =0,

So the pair is, (0,-2).

The z-statistic test was conducted to determine the Deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

Report on the Analysis of American Airlines (Domestic) PerformanceThe quantitative analysis focused on three variables- load factors, revenue passenger miles, and available seat miles for American Airlines.

The Bureau of Transportation Statistics data for domestic flights from January 2006 to December 2012 was retrieved for the analysis. The quantitative analysis also focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. The results of the data are summarized in Table 2. Revenue Passenger Miles (RPM) mean is 6,624,897, the median is 6,522,230, and mode is NONE. The minimum is 5,208,159 and the maximum is 8,277,155. The standard deviation is 720,158.571, and the variance is 518,628,367,282.42.

Load Factors (LF) mean is 82.934, the median is 83.355, and mode is 84.56. The minimum is 74.91, and the maximum is 89.94. The standard deviation is 3.972, and the variance is 15.762. The Available Seat Miles (ASM) mean is 7,984,735, the median is 7,753,372, and mode is NONE. The minimum is 6,734,620, and the maximum is 9,424,489. The standard deviation is 744,469.8849, and the variance is 554,235,409,510.06.Figure 1 above displays the performance of American Airlines (Domestic).

The mean RPM is 7,984,735, and the linear regression line is y = 50584x - 2.53E+8. The linear regression line indicates a positive relationship between RPM and year, with a coefficient of determination, R² = 0.6806. A coefficient of determination indicates the proportion of the variance in the dependent variable that is predictable from the independent variable. Therefore, 68.06% of the variance in RPM is predictable from the year. A one-way ANOVA analysis of variance test was conducted to determine the equality of means of three groups of variables; RPM, ASM, and LF. The null hypothesis is that the means of RPM, ASM, and LF are equal.

The alternative hypothesis is that the means of RPM, ASM, and LF are not equal. The level of significance is 0.05. The ANOVA results indicate that there is a significant difference in means of RPM, ASM, and LF (F = 17335.276, p < 0.05). Furthermore, a post-hoc Tukey's test was conducted to determine which variable means differ significantly. The test indicates that RPM, ASM, and LF means differ significantly.

The skewness test was conducted to determine the symmetry of the distribution of RPM, ASM, and LF. The test indicates that the distribution of RPM, ASM, and LF is not symmetrical (Skewness > 0).

Additionally, the z-statistic test was conducted to determine the deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

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Answer:

b

Step-by-step explanation:

step 3=it must be corrected by

20=2

Part 1: The polynomial that represents the area of the hot tub = x² ft²; pool = (12x²-60x+75)ft² ; patio =.

Part 2: Cost of hot tub= $320; pool=$2541; patio = $104

To determine the area of the hot tub, pool and patio is carried out using the formula for the area of rectangle. That is; Area of rectangle = length× width

length = X ft

width = X ft

area = x² ft²

length = (6x-15) ft

width = (2x-5) ft

area = 6x -15× 2x-5

= 12x²-30x-30x+75

= (12x²-60x+75)ft²

length= (10x-12) ft

width = 2 +(2x-5)

= (2x-3) ft²

The cost of hot tub, pool and patio when X= 8 would be as follows:

area = x²

X = 8

area = 64ft²

But 1 ft² = 5$

64 ft² = ?

cost of hot hub = 64×5 = $320

area = (12x²-60x+75)ft²

where X = 8

area = 12(8)²-60(8)+75

= 768-480+75

= 363ft²

But 1 ft² = $7

363ft² = ?

cost of the pool = 363×7 =$2541

Area = (2x-3) ft²

X = 8

area = 2(8)-3

= 13ft

But 1 ft² = $8

. 13ft² = ?

Cost of patio = 13×8 = $104

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Answer:

c) +20

Step-by-step explanation:

10 colder goes down

so 30-10= 20

As per the given equation -9 = (k- 3) divided by -6, the solution to the equation is k = 57.

To solve the equation, we'll isolate the variable on one side of the equation.

Given: -9 = (k - 3) / -6

To eliminate the fraction, we can multiply both sides of the equation by -6:

-6 * -9 = -6 * (k - 3) / -6

54 = k - 3

Next, we'll isolate the variable k by adding 3 to both sides of the equation:

54 + 3 = k - 3 + 3

57 = k

Therefore, the solution to the equation is k = 57.

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The length of the arc of the circle subtended by the angle is option (b) 5π/3 meters.

Arc length is the length of a portion of the circumference of a circle. It is the distance along the curved line that makes up the circle's boundary, measured in linear units

The length of the arc of a circle subtended by a central angle can be found using the formula

arc length = (central angle / 360°) × 2πr

where r is the radius of the circle.

Substituting the given values, we get

arc length = (150° / 360°) × 2π(2 meters)

arc length = (5/12) × 2π(2 meters)

arc length = (5/3)π meters

Therefore, the correct option is (b) (5/3)π meters

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The equation of the curve that intersects at right angles to every curve of the family y=(1/x)+k is y=lnx

y=-x+k is the equation of a curve that meets at right angles every curve in the family y=(1/x)+k (where k can take any real value). This is known as the 'orthogonal curve' of the y=(1/x)+k family. It is calculated by obtaining the reciprocal of the original equation and then removing k from the y-axis.

A straight line with a negative slope is given by the equation y=-x+k. Every point on the line has an x-value that is the inverse of its y-value. At the point where x=1/k and y=k, the equation will always meet the curve of the family y=(1/x)+k at a right angle. This point is the same for all values of k and is known as the 'origin' of the function.

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Thus, for any vector x = (x1, x2, x3) in R3, we have: L(x) = Ax where A is the matrix given above.

A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns. Matrices are used extensively in mathematics, science, engineering, and computer science to represent and manipulate linear equations, systems of equations, vectors, and other mathematical objects. Matrices can be added, subtracted, multiplied, inverted, and transformed in various ways to solve problems in algebra, calculus, statistics, and other fields. Matrices are also used in computer graphics, machine learning, and other areas of artificial intelligence to represent data, images, and other information. The size of a matrix is given by its number of rows and columns, and matrices can be classified as square (when they have the same number of rows and columns) or rectangular (when they have different numbers of rows and columns).

Here,

To find the matrix A that corresponds to the linear transformation L, we need to write L(e1), L(e2), and L(e3) as linear combinations of the standard basis vectors in R2.

L(e1) = (1+0, 0+0) = (1, 0)

L(e2) = (0+1, 1+0) = (1, 1)

L(e3) = (0+0, 1+0) = (0, 1)

So we can write:

L(x) = L(x1 e1 + x2 e2 + x3 e3)

= x1 L(e1) + x2 L(e2) + x3 L(e3)

Now we can assemble the coefficients of this linear combination into a matrix A:

A=  \(\left[\begin{array}{ccc}1&1&0\\0&1&1\end{array}\right]\)

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Answer:

oki! mizuki here to answer and help!

The answer will be 19/10 or 1 9/10

Step-by-step explanation:

Soo... let's simplify 1 2/5 first.

The simplified version of 1 2/5 is 7/5.

and we solve the equation!

since there are two negatives, turn it into a plus!

7/5 + 1/2

5 x 2 = 10      2 x 5 = 10

7 x 2 = 14       1 x 5 = 5

so...

14/10 + 5/10 which will be 19/10, or 1 9/10

The question should be find the answer, not the difference ngl.

Let us denote the semi arcs as congruent angles. This means that angles FEJ and EFJ are congruent (That is, they have the same measure). Since angles FEJ and EFJ have the same measure, this implies that sides EJ and FJ are equal. Since angles EJK and FJH are supplementary angles to angle EJF, this implies that EJK and FJH have the same measure.

Using the Angle Side Angle (SAS) criteria, we determine that triangles EKJ and triangle FJH are congruent. This implies that sides EK and FH are equal and that angles EKJ and FHJ are congruent. Note that angle EKJ is the same as EKF and that FHJ is the same as FHE.

Once again, since angles EKF and FHJ are congruent, and angle EKD is supplementary to the angle EKJ when angle FHG is supplementary to angle FHJ, then we have that angles EKD and angle FHG are congruent.

Using again the SAS criteria, we determine that triangles EKD and FHG are congruent.

From this reasoning, we have proved the following facts:

Triangle DEK is congruent to triangl GFH

Angle EKF is congruent to angle FHE

Segment EK is the same as segment FH

Answer:

Step-by-step explanation:

y=mx+b

m=(y2-y1)/((x2-x1)

m=(12-7.5)/(120-30)

m=0.05

y=0.05x+b, using point (30,7.5)

7.5=0.05(30)+b

7.5=1.5+b

b=6

y=0.05x+6

Answer: c and d

Step-by-step explanation: bc i have the same question on khan lol

Answer:

The given statement  Y = 7, x = 4 is False.

Step-by-step explanation:

We are given:

Y is inversely proportional to x, when Y = 7, x = 4.

We need to tell if the statement is True or False: the constant of proportionality, k, is 20.

Y is inversely proportional to x

We can write it as: \(y\:\alpha \:\frac{1}{x}\\y=\frac{k}{x}\)

Now, we need to check when Y=7, x = 4 is true or false

We are given k = 20

Now, I can find value of y, by putting values of k and x in the equation:

\(y=\frac{k}{x}\\y=\frac{20}{4}\\y=5\)

When we put x = 4, and k =20, we get Y=5 and not Y=7

So, The given statement  Y = 7, x = 4 is False.

9514 1404 393

Answer:

  A.  516 ft²

Step-by-step explanation:

Divided at the horizontal dashed line, the figure becomes a triangle with a base of 23-7 = 16 ft and a height of 30-24 = 6 ft, together with a trapezoid of height 24 ft and bases of 23 ft and 23-7 = 16 ft.

The relevant area formulas are ...

  A = 1/2bh . . . . . . area of a triangle with base b and height h

  A = 1/2(b1 +b2)h . . . . area of a trapezoid with bases b1 and b2, and height h

__

The area described by the floor plan is ...

  play area = triangle area + trapezoid area

  play area = 1/2(16 ft)(6 f) +1/2(23 ft +16 ft)(24 ft)

  = 48 ft² +468 ft² = 516 ft²

516 square feet of carpet are needed for the play area.

Answer:

  4 +7x

Step-by-step explanation:

You want the additive inverse of -4-7x.

The additive inverse of an expression is the value that gives zero when added to the expression. It is the expression multiplied by -1.

  -1 · (-4 -7x) = 4 +7x

The additive inverse is 4 +7x.

__

Additional comment

  (-4 -7x) + (4 +7x) = 0

Answer:

y = -3

Step-by-step explanation:

TO FIND :-

FACTS TO KNOW BEFORE SOLVING :-

A simple law of exponents which will be used to solve the problem :-

SOLUTION :-

\(3^3 \times 3^{(y-2)} = 3^{-2}\)

\(=> 3^{3+y-2} = 3^{-2}\)

\(=> 3^{y+1} = 3^{-2}\)

Bases are same in both sides of equation. So , their powers must be equal to each other.

\(=> y + 1 = -2\)

\(=> y = -2 - 1 = -3\)

The utility can be used to quantify and compare preferences in decision-making scenarios where performance is not measured by monetary value.

The utility can be used as a measure of preference or satisfaction in decision-making situations where performance is not directly measured by monetary value. Utility refers to the subjective value or desirability that an individual assigns to different outcomes or options.

In such cases, utility can be quantified using a utility function, which maps the outcomes or attributes of the decision problem to a numerical representation of the individual's preferences. This function allows for the comparison and evaluation of different options based on their utility values.

For example, consider a decision involving healthcare treatments. The performance of different treatments may not be easily measured in monetary terms, but individuals may have preferences based on factors such as effectiveness, side effects, or quality of life impact.

Utility can be used to capture these preferences and make a decision that maximizes the overall satisfaction or well-being of the individual.

To use utility in decision-making, it is necessary to understand and quantify individual preferences through techniques like surveys, interviews, or experimental methods. By assigning utility values to different outcomes or attributes, decision-makers can then compare options and select the one that maximizes utility.

However, it's important to note that utility is subjective and varies among individuals. Different people may have different utility functions and weigh attributes differently. Therefore, utility-based decision-making requires taking into account the preferences of the specific individual or group involved.

In summary, utility can be employed in decision-making scenarios where performance is not directly measured in monetary terms. It quantifies subjective preferences and allows for the comparison and selection of options based on the utility values assigned to different outcomes or attributes.

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Answer:

hope it is correct

Step-by-step explanation:

Since QUOR is a parallelogram, it means that opposite angles are congruent. Therefore, we have:

∠Q = ∠O and ∠UQA + ∠O = 180°

Since CD || RO, we have:

∠ORA = ∠O and ∠BUQ + ∠Q = 180°

Combining these equations, we get:

∠UQA + ∠BUQ + ∠ORA = 360°

Since ∠BUQ + ∠Q = 180°, we have:

∠BUQ = 180° - ∠Q

Substituting this into the previous equation, we get:

∠UQA + (180° - ∠Q) + ∠O = 360°

Simplifying, we get:

∠UQA = ∠Q - ∠O

Since ∠Q = ∠O (because QUOR is a parallelogram), we have:

∠UQA = 0°

Therefore, none of the given angles (A) ∠BAR, (B) ∠BUQ, or (C) ∠ORA is congruent to ∠UQA.

Answer:

55

Step-by-step explanation:

\(\displaystyle MOE = z\biggr(\frac{\sigma}{\sqrt{n}}\biggr)\\\\4=1.96\biggr(\frac{15}{\sqrt{n}}\biggr)\\\\4=\frac{29.4}{\sqrt{n}}\\\\\sqrt{n}=\frac{29.4}{4}\\\\\sqrt{n}=7.35\\\\n=54.0225\\\\n\approx55\uparrow\)

Make sure to always round up the required sample size to the nearest integer!