liam must determine the inequality represented by the solution set on the number line. which statement must be true?

The number of solutions that are viable is; D: There are 2 solutions and only 1 is viable.

For the Rose Only Aisle;

Let the bouquets of roses be X.

Let the number of roses per bouquet be r.

Thus;

Number of bouquets of roses = Xr - 4

Number of rose Aisles = 6

Number of bouquets of dahlias = 2

Patio seating area;

Number of bouquets of roses = 4

Number of bouquet of dahlias (d) = 8

For the rose only aisle, the equation is;

6(Xr - 4r) + 2d = 100

For the patio seating area, equation for number of flowers is;

4r + 8d = 132

We can see the two simultaneous equations and we can solve for r and d but only one of them will be viable.

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Among the given options, an inconsistent system of linear equations is one where there are no common solutions to the system of equations. This occurs when two lines or planes are parallel, and it is not possible for them to intersect.

The given system of linear equations is:

7x + y = 2z - 11   ..............(1)

-11x + 4y + z = 3   ..................(2)

3x - y + z = 1   ......................(3)

0 = 13   ...........................(4)

The given system of linear equations is inconsistent as the equation (4) is contradictory, which implies there is no common solution to the system of linear equations.

Upon examining the options, we can see that options A, B, and C represent consistent systems of linear equations as there are no contradictory or impossible equations similar to the given system.

Therefore, the correct option is D.

However, option D represents an inconsistent system of linear equations because the equation 0 = 13 contradicts the system, indicating that there is no common solution to the system.

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The percentile rank / score in the setting of statistics denotes the percentage of the population that falls below it when the data is organized in ascending order.

For the given question.

The difference in the percentiles and raw scores is-

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The angle of 15° in standard position can be sketched as a small angle formed by rotating a ray counterclockwise from the positive x-axis.

In standard position, an angle is formed by rotating a ray counterclockwise from the positive x-axis. The initial side of the angle is the positive x-axis, and the terminal side is the ray after rotation. To sketch the angle of 15°, start with the positive x-axis as the initial side. Then, rotate the ray counterclockwise by 15°. The terminal side of the angle will be the position of the ray after the rotation. The angle will be a small angle that opens up to the left of the initial side.

The sketch of the angle will resemble a small "tick" mark or an acute angle, pointing in the counterclockwise direction. The size of the angle will be 15°, which is relatively small, closer to the size of a right angle (90°). By following this process, you can accurately sketch the angle of 15° in standard position.

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Answer:

12units²

Step-by-step explanation:

Given a triangle that has sides that measure 2 units, 5 units, and 5.39 units,

Perimeter of the triangle = 2 + 5 + 5.39

Perimeter of the triangle = 12.39units

since the circumference is equal to the perimeter of the triangle, hence;

C = 12.39units

C = 2πr

r is the radius of the circle

12.39 = 2(3.14)r

12.39 = 6.28r

r = 12.39/6.28

r = 1.973 units

Get the area

Area = πr²

Area of the circle = 3.14(1.973 )²

Area of the circle = 3.14(3.892)

Area of the circle = 12.22units²

Area of the circle ≈ 12units²

Answer:

D. 12 units2

The following binary number has the value of 157 in decimal form.

Step 1: Compose the binary number in writing. 10011101

Multiplying each binary digit by the corresponding power of two in step two:

1x27 + 0x26 + 0x25 + 1x24 + 1x23 + 1x22 + 0x21 + 1x20

Solve the powers in Step 3:

1x128+0x64+0x32+1x16+8+4+0x2+1x1=128+0 + 0 + 0 + 16+8+4+0 + 0 + 1

Step 4: Add the figures listed above:

128 + 0 + 0 + 16 + 8 + 4 + 0 + 1 = 157.

A binary number is a number that is expressed in the binary system or base 2 numeral system, according to digital technology and mathematics. It talks about numerical values.by the two distinct digits 1 (one) and 0 (zero). The base-2 system is the positional notation that uses 2 as the radix.

A number that has been divided into a whole and a fraction is called a decimal. To express the numerical value of entirely and partially entire quantities between integers, decimal numbers are used.

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Answer:

16 people

Step-by-step explanation:

The equation you should set up for this problem is 260 = 15x+20, and x for the each person that Megan invites.

Simplify the equation to 240 = 15x, so x = 16

Answer:

The table is attached!

Step-by-step explanation:

Given: There are 24 students in the class

The number of students that does not play a sport is 24 - 14 = 10

The number of students that does not play a musical instrument but play a sport = 14 - 6 = 8

The frequency table thus is attached below:

The correct option is A, the lower quartile (Q1) and it is 75.

We must comprehend the quartiles of the box plot in order to calculate the number below which 25% of the data lies.

A box plot's interquartile range (IQR), which contains the middle 50% of the data, is represented by the box.

The median, which splits the data into two equally sized half, is shown by the line inside the box.

Here, the box has a line at 79 and spans from 75 to 82.

Accordingly, the lower quartile (Q1) and the upper quartile (Q3) are both situated near the box's boundary, which is 75 and 82, respectively.

The line inside the box, which is 79, is the median (Q2).

The first quartile (Q1) or the 25th percentile must be identified in order to establish the number below which 25% of the data lies.

The first quartile in a box plot symbolizes the number below which 25% of the data is found.

Since Q1 is located at the lower boundary of the box, which is 75, 25% of the data lies below the score of 75.

Hence the correct option is A.

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By applying Green's Theorem, the integral ∫(f(x) dx + g(y) dy) over the boundary C of a region can be simplified to a line integral involving the partial derivatives of f and g with respect to x and y.

Green's Theorem relates a line integral around a simple closed curve C to a double integral over the region D enclosed by C. It states that ∫(P dx + Q dy) = ∬(∂Q/∂x - ∂P/∂y) dA, where P and Q are continuously differentiable functions and D is the region enclosed by C.

In this case, we have the line integral ∫(f(x) dx + g(y) dy) over the boundary C. By applying Green's Theorem, this line integral can be simplified to ∬(∂(g(y))/∂x - ∂(f(x))/∂y) dA, where ∂(g(y))/∂x represents the partial derivative of g(y) with respect to x, and ∂(f(x))/∂y represents the partial derivative of f(x) with respect to y.

Since a and b are constants, they can be treated as functions with respect to the corresponding variable. Therefore, the simplified form of the integral becomes ∬(b - a) dA. This means that the result of the line integral over the boundary C is equal to the double integral of the constant (b - a) over the region D enclosed by C.

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Answer: -17

Explanation: If g(x) = 4x - 5, then g(-3) = 4(-3) - 5 which simplifies to -17.

Answer:

Hello ♡

The answer to your question is :

2,12,21 is an arithmetic sequence with a common difference of +9 between each of them .

Step-by-step explanation:

Good luck ^^

Hope this helps u ;)

convert 32 1/4 into an improper fraction

Answer:

64x^11 after making the nomenclature revisions as noted below.

Step-by-step explanation:

Be careful with the notation. As written, (8x4)2(x3) is telling us to multiply 8*4*2*x*3 for an answer of 192x. But, judging from the answer options, this doesn't make sense.

If we assume, instead, that some of the numbers are actually exponents, then a different answer emerges. I'll guess that the expression (8x4)2(x3)

was meant to read: (8x^4)^2(x^3)

===

Assuming this is correct, take the following steps according to PEDMAS:

1) Exponents: (8x^4)^2 = 64x^8

2) (64x^8)*(x^3)

3) 64x^11

If we write the answer options is a similar manner, we find that the third option, 64x11, would be 64x^11, the expression we derived above. 64x11 is not the correct answer, but 64x^11 is.

Answer:

The graph on the top right

Step-by-step explanation:

The slope-intercept form is y = mx + b

m = the slope

b = y-intercept

The equation is y = 1/2x + 2

The y-intercept in this equation is 2, meaning the graph has a point (0,2) on it.  Looking at the options, the only graph that has a point (0,2) is the map on the top right, and that is the answer.

Answer:

1.4 meters

Step-by-step explanation:

A building is 52 meters tall. The building next to it is 50.36 meters tall. The difference between the heights of the buildings is 2.36 meters.

The difference is defined as the maximum value minus the minimum value.

A building is 52 meters tall. The building next to it is 50.36 meters tall.

The tallest building = 52

The next building = 50.36

The difference

= 52 - 50.36

= 2.36

Therefore, the difference between the heights of the buildings is 2.36 meters.

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The vector field \(F = (8z + 5y)i + (2z)j + (2y + 8x)k\) is not conservative. To determine whether the given vector field F is conservative or not, we can check if it satisfies the condition of being the gradient of a scalar function.

Given vector field:

\(\[ \mathbf{F} = (8z+5y)\mathbf{i} + (2z)\mathbf{j} + (2y+8x)\mathbf{k} \]\)

Let's find the potential function (scalar function) for the given vector field \(\(\mathbf{F}\).\)

We need to find a scalar function \(\(V(x, y, z)\)\) such that its gradient is equal to \(\(\mathbf{F}\):\)

\(\[\nabla V = \nabla(V(x, y, z)) = \mathbf{F}\]\)

Taking the partial derivatives of \(\(V\)\) with respect to \(\(x\), \(y\), and \(z\),\) we get:

\(\[\frac{\partial V}{\partial x} = 8z + 5y\]\)

\(\[\frac{\partial V}{\partial y} = 2z\]\)

\(\[\frac{\partial V}{\partial z} = 2y + 8x\]\)

Now, let's integrate each partial derivative with respect to its corresponding variable:

\(\[V = \int (8z + 5y) \,dx = 8xz + 5xy + g_1(y, z)\]\)

\(\[V = \int (2z) \,dy = 2yz + g_2(x, z)\]\)

\(\[V = \int (2y + 8x) \,dz = 2yz + 4xz + g_3(x, y)\]\)

Here, \(\(g_1(y, z)\), \(g_2(x, z)\), and \(g_3(x, y)\)\) are arbitrary functions of their respective variables.

Comparing these equations, we observe that we have two terms with the same coefficient in the expressions for \(\(V\):\)

\(\[8xz + 5xy + g_1(y, z) = 2yz + 4xz + g_3(x, y)\]\)

To satisfy this equality, the coefficients of the corresponding terms must be equal:

\(\[8xz = 4xz \quad \text{(coefficients of } x \text{ terms)}\]\)

\(\[5xy = 2yz \quad \text{(coefficients of } y \text{ terms)}\]\)

From the first equation, we can deduce that \(\(8 = 4\)\), which is not true.

Since the coefficients do not match, it means that we cannot find a scalar function \(\(V\)\) such that its gradient equals \(\(\mathbf{F}\).\) Therefore, the vector field \(\(\mathbf{F} = (8z + 5y)\mathbf{i} + (2z)\mathbf{j} + (2y + 8x)\mathbf{k}\) is \textbf{not conservative}.\)

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The difference quotient of f; that is, \(\frac{f(x+h)-f(x)}{h}\), h ≠ 0 for the function f(x) = x^2 - 9x + 6 is 2x - 9.

The function is f(x) = x^2 - 9x + 6.

We have to determine the differential equation; that is \(\frac{f(x+h)-f(x)}{h}\).

To find the value of f(x+h) substitute x+h in place of x the the function.

f(x+h) = (x+h)^2 - 9(x+h) + 6

Solving

F(x+h) = x^2 + 2xh + h^2 - 9x - 9h + 6

Now putting the value

\(\frac{f(x+h)-f(x)}{h} = \frac{(x^2 + 2xh + h^2 - 9x - 9h + 6)-(x^2 - 9x + 6)}{h}\)

Simplify

\(\frac{f(x+h)-f(x)}{h} = \frac{x^2 + 2xh + h^2 - 9x - 9h + 6-x^2 + 9x - 6}{h}\)

\(\frac{f(x+h)-f(x)}{h} = \frac{2xh + h^2 - 9h}{h}\)

Taking common h on both side, we get

\(\frac{f(x+h)-f(x)}{h} = \frac{h(2x + h - 9)}{h}\)

\(\frac{f(x+h)-f(x)}{h}\) = (2x + h - 9)

Now setting the limit h tends to 0

\(\lim_{h\rightarrow 0}\frac{f(x+h)-f(x)}{h}\) = \(\lim_{h\rightarrow 0}\)(2x + h - 9)

Now putting h = 0, we get

\(\lim_{h\rightarrow 0}\frac{f(x+h)-f(x)}{h}\) = 2x - 9

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The complete question is:

Find the difference quotient of f; that is, find \(\frac{f(x+h)-f(x)}{h}\), h ≠ 0 for the following function. Be sure to simplify.

f(x) = x^2 - 9x + 6

Answer:

Step-by-step explanation:

M and N and QR

Answer: The answer to this math question about solving for x with the given 2 basic fractions is \(x = 3.\)

Step-by-step explanation: Mmmm, that was super extremely easy, so anyway, here are 2 basic steps in order to solve for x with the given 2 basic fractions:

Step 1. First, let's cancel the terms that are in both the numerator and denominator that looks in the equation form like this: \(\frac{10x}{10} = \frac{30}{10}, x = \frac{30}{10}.\)

Step 2. Last but not least is after we cancel the terms that are in both the numerator and denominator, finally, let's divide the numbers that looks in the equation form like this: \(x = \frac{30}{10}, x = 3.\)

I hope that my full given answer with my full given step-by-step explanation is very helpful to your own math question about solving for x with the given 2 basic fractions, please mark me as Brainliest, take care, always be safe, and have a great rest of the day and good night! :D

Sincerely,

Jason Ta,

The Ambitious of The Brainly And The Role of The TDSB And WHCI Student of The High School.

Answer:

3

Step-by-step explanation:

this is because 3 would be the answer

Answer:Angle x is congruent with the interior angle opposite side 8 (alternate interior angles)

Use tangent:

tan x = 8/15

x = arctan (8/15)

x = 28.1° (rounded)

Step-by-step explanation:

Answer:

Hiro should have divided both sides of the equation by b

Step-by-step explanation:

Given the formula for area of a triangle (A) = ½bh, Hiro was expected to solve for h.

To find out where Hiro made a mistake, let's solve for h step by step as it ought to be solved.

Thus,

A = ½ bh

==>Multiply both sides by 2:

2*A = 2 * [½bh]

2A = bh

==>Divide both sides by b:

(2A)/b = (bh)/b

(2A)/b = h

h = (2A)/b

The mistake Hiro made was that he subtracted b from both sides of the equation instead if dividing both sides by b.

Hiro should have divided both sides of the equation by b

The correct answer is

B) Hiro should have divided both sides of the equation by b.

I just took the quiz on edge

Step-by-step explanation:

X<-3 Inequality form , [XIX <-3]

Answer:

it's the first one.

LETTER "A"

Answer:

Step-by-step explanation:

tis A

Answer:

P maybe

Step-by-step explanation:

we have that

The double angles formula is equal to

and remember that

therefore

substitute in the original expression

therefore

Answer:

x==3

Step-by-step explanation:

-3-2=-5x-2x

=-1=-3 x

Answer:

i think it is D

Step-by-step explanation:

i think it is D.x=5 pls I'm not sure

The weight of a beagle that is 1 standard deviation below average is 22 pounds, the weight of a beagle that is 1 standard deviation above average is 28 pounds, and approximately 68% of the data falls within the range of 22 to 28 pounds.

If the weights of beagles are approximately normally distributed with a mean weight of 25 pounds and a standard deviation of 3 pounds, we can use the empirical rule to determine the weight of a beagle that is 1 standard deviation below average and 1 standard deviation above average.

According to the empirical rule, approximately 68% of the data falls within 1 standard deviation of the mean. Therefore, the weight of a beagle that is 1 standard deviation below average would be:
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25 - (1 x 3) = 22 pounds

Similarly, the weight of a beagle that is 1 standard deviation above average would be:

25 + (1 x 3) = 28 pounds

Thus, we can expect the weights of approximately 68% of beagles to fall within the range of 22 to 28 pounds.

The normal distribution is a bell-shaped curve that is symmetrical around the mean. In this case, the mean weight of beagles is 25 pounds, which is the highest point on the curve. As we move away from the mean, the probability of encountering a particular weight decreases. One standard deviation away from the mean covers a large proportion of the data, but as we move further away, the proportion decreases rapidly.

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Answer:

A hexagon

Step-by-step explanation:

A hexagon - - - the allen wrench has 2 hexagonal heads. See attached pic.

The geometric shape that forms the hole that fits an allen wrench is a hexagon, which is a six-sided polygon with straight sides and angles.

The geometric shape hexagon-shaped hole in an allen wrench, also known as a hex key, is designed to fit tightly over the hexagonal socket of a screw or bolt head. A hexagon is a six-sided polygon, meaning it has six straight sides and angles. In the case of an allen wrench, the hexagon has internal angles of 120 degrees and opposite sides that are parallel.

The hexagonal shape of the hole in the wrench allows for a tight and secure fit onto the corresponding hexagonal socket of the screw or bolt head. This design ensures that the wrench can apply a significant amount of torque to the fastener without slipping, which is essential for many applications in construction, mechanics, and other industries.

The use of a hexagonal shape also allows for greater precision and control when turning the screw or bolt, making it easier to achieve the desired level of tightness. Overall, the hexagon is an ideal shape for the hole in an allen wrench due to its strength, stability, and precision.

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