When graphing the inequality y > 2x – 5, the line would be closed/dashed and the
shading would be above/below the line. (please circle your answers)

Answer:

A) spring tide

Step-by-step explanation:

Answer:

L' = (-36, 0)

Step-by-step explanation:

If the point (x, y) is dilated by a scale factor of k about the center (0, 0), then its image is the point (kx, ky)

∵ A dilation has a center (0, 0)

∵ The point L is (-4, 0)

∴ x = -4 and y = 0

∵ The scale factor of dilation is 9

∴ k = 9

→ By using the rule above

∵ kx = 9(-4) = -36

∵ ky = 9(0) = 0

∵ The image of the point L is (kx, ky)

∴ L' = (kx, ky)

∴ L' = (-36, 0)

Answer: See explanation

Step-by-step explanation:

Number of marbles = 400

Anthony sells 1/4 of the marbles to Jayveon. This will be:

= 1/4 × 400

= 100 marbles

Anthony gives 10% to Abdul. Abdul will have:

= 10% × 400

= 0.1 × 400

= 40 marbles

He gave 10 marbles to his little brother.

The number of marbles that Anthony has left will be:

= 400 - (100 + 40 + 10)

= 400 - 150

= 250 marbles

Based on the knowledge of trigonometric expressions and properties of trigonometric functions, the value of the sine function is equal to - √731 / 30.

Herein we must make use of trigonometric expressions and properties of trigonometric functions to find the right value. According to trigonometry, both cosine and sine are negative in the third quadrant. Thus, by using the fundamental trigonometric expression (sin² α + cos² α = 1) and substituting all known terms we find that:

\(\sin \theta = -\sqrt{1 - \cos^{2}\theta}\)

\(\sin \theta = - \sqrt{1 - \left(-\frac{13}{30} \right)^{2}}\)

sin θ ≈ - √731 / 30

Based on the knowledge of trigonometric expressions and properties of trigonometric functions, the value of the sine function is equal to - √731 / 30.

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Answer:4.8625

Step-by-step explanation:

Hope this helps!

Answer:  The cost in dollars per square foot  is 0.00942111259 kilometers per liter

Answer:

B. -5

Step-by-step explanation:

this is quite simple, so what you are going to want to do is multiply -3 by 4, and -16, so distribute that and you'll end up with

-12x+48= -12

then you want to subtract 48 from both side to leave the x on one side alone

that will be -12x= -60

after that you have to divide both sides by -12 to find your x

so then you will see that your x is = -5! hope this helps!!

Answer:

Ajshdjshdhhdhdjdjdhdjjd

The surface is sufficiently large so that the effects of edge conditions can be neglected. The properties of the fluid are constant. Radiation heat transfer is neglected. The flow is natural (free) convection. The Prandtl number is constant.

Heat transfer rate due to free convection from a vertical surface of 1.2 m high and 0.45 m wide to quiescent air that is 47°C colder than the surface can be calculated by using the following formula :Q = h × A × ΔTWhere Q is the rate of heat transfer, h is the convective heat transfer coefficient, A is the surface area, and ΔT is the temperature difference between the surface and the surrounding quiescent air.

The convective heat transfer coefficient can be calculated by using the following formula :h = Nu × k / LWhere Nu is the Nusselt number, k is the thermal conductivity, and L is the characteristic length. In this case, the characteristic length is the height of the surface. The Nusselt number can be calculated by using the following formula :

Nu =\(0.68 + (0.67 × Gr × Pr / (1 + (0.492 / Pr)^(9/16))^4/9 )^(1/4) × (1 + (0.492 / Pr)^(9/16))^2/9 × (Gr × Pr / (1 + (0.492 / Pr)^(9/16))^4/9)^(1/4) × (1 + (0.492 / Pr)^(9/16))^2/9\)

Where Gr is the Grashof number, Pr is the Prandtl number, and L is the characteristic length. The Grashof number can be calculated by using the following formula :

Gr = gβΔT L³ / v²

Where g is the acceleration due to gravity, β is the coefficient of thermal expansion, ΔT is the temperature difference, L is the characteristic length, and v is the kinematic viscosity. The coefficient of thermal expansion can be calculated by using the following formula :

β = 1 / T_avg

Where T_avg is the average temperature of the surface and the surrounding quiescent air.

The kinematic viscosity can be calculated by using the following formula :

v = μ / ρ

Where μ is the dynamic viscosity and ρ is the density. The dynamic viscosity can be obtained from the given data. The density can be calculated by using the ideal gas law :

ρ = P / R T

Where P is the pressure, R is the gas constant, and T is the temperature. The pressure can be assumed to be constant. The gas constant can be obtained from the given data. State applicable assumptions : The surface is vertical. The flow is steady and laminar.

The surface is sufficiently large so that the effects of edge conditions can be neglected. The properties of the fluid are constant. Radiation heat transfer is neglected. The flow is natural (free) convection. The Prandtl number is constant.

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Answer:

Domain:

{1,3,2,4}

Range:

{5,13,7,4}

the list of ordered pairs is a function.

Answer:

A

Step-by-step explanation:

y = -3x + 150

I hope this is right.

Therefore, the answer is d. |S| < |R|. This means that the cardinality of S is strictly less than the cardinality of the set of real numbers.

The set S is defined as ZUR – Q, which means it contains all the real numbers excluding the rational numbers. Since the set of rational numbers is countable, while the set of real numbers is uncountable, it follows that the set of real numbers minus the set of rational numbers is also uncountable. Therefore, the answer is d. |S| < |R|. This means that the cardinality of S is strictly less than the cardinality of the set of real numbers. In other words, there are more real numbers than there are elements in the set S. This result is a consequence of Cantor's diagonal argument, which shows that the set of real numbers is uncountable.

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Step-by-step explanation:

the price is 5 per tile ?

the area of the rectangular room is

12×6 = 72 m²

each m² has 100×100 = 10000 cm²

so, we have for the total area in cm²

72 × 10000 = 720000 cm²

one tile has 10×2 = 20 cm²

so, how many tiles will we need ?

720000 / 20 = 72000 / 2 = 36000 tiles.

so, if truly 1 tile costs 5 Rupees, then we have

36000 × 5 = 180000 Rupees as total costs.

Step-by-step explanation:

1 m = 100 cm

12 m = 1200 cm

6 m = 600 cm

Area of room = l × w

Area = 1200 × 600

Area = 720000 cm²

Area of tile = l × w

Area = 10 × 2

Area = 20 cm²

Total tile = 720000/20 = 72000/2 = 36000

Cost = 36,000 × 5

Cost = $ 180000

Box 2 containing 1.2 kg of paperclips has the greatest mass, and thus the greatest inertia among the three boxes.

Inertia is a property of a body due to which it resists any change in its state of rest or motion.

When we talk about the greatest inertia among three boxes of the exact same size and shape, it is important to know that inertia is directly proportional to mass.

So, the box that has the greatest mass will have the greatest inertia.

Now, we have to find the box that has the greatest mass.

The mass of the boxes are as follows:

Box 1 containing 1.0 kg of pencils

Box 2 containing 1.2 kg of paperclips

Box 3 containing 0.5 kg of rubber bands

Therefore, Box 2 containing 1.2 kg of paperclips has the greatest mass, and thus the greatest inertia among the three boxes.

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The x-intercepts are x = -4 and x = 5.The vertex is at (0.5, 2). The maximum value of the function is y = 2.The range is y ≤ 2.

Given Graph of the function to find the function information is shown below:

Graph of the functionThis is a graph of the quadratic function, y = f(x), which is a parabola. The standard form of the quadratic function is given by:

y = ax² + bx + c

Where a, b and c are constants. A parabola opens upwards if the leading coefficient a is positive. Otherwise, if a is negative, then the parabola opens downwards.In the given graph of the quadratic function, we observe that the parabola opens downwards. Therefore, the leading coefficient a of the function is negative. Hence, the general form of the quadratic function is given by:

y = -ax² + bx + cThe graph of a quadratic function has a vertex, which is either a maximum point or a minimum point of the function. The vertex can be calculated by finding the axis of symmetry of the parabola and then calculating the value of the function at this point.

(B) VertexThe axis of symmetry of the parabola is the vertical line through the x-coordinate of the vertex. We find this line by calculating the average of the x-intercepts of the parabola. From the graph, we see that the x-intercepts are -4 and 5. Therefore, the axis of symmetry is at x = (5 - 4)/2 = 0.5The y-coordinate of the vertex can be found by substituting the value of the x-coordinate of the vertex into the equation of the function. Hence:

y = -a(0.5)² + b(0.5) + c

We observe from the graph that the vertex is at (-2, 2). Therefore, we can substitute the values of x and y into the above equation to find a:

2 = -a(0.5)² + b(0.5) + c... (1)-2 = -a(-4.5)² + b(-4.5) + c... (2)

We now have two equations in a, b and c. To eliminate c, we can subtract equation (2) from equation (1) to get:4 = -a(20.25) + b(5)... (3)We can also eliminate b by adding equations (1) and (2) to get:

0 = -a(20.25) + b(5)... (4)

We can now solve equations (3) and (4) simultaneously to get:

a = 0.2 and b = 4

Therefore, the equation of the quadratic function is:

y = -0.2x² + 4x + c

To find the value of c, we can substitute the coordinates of the vertex into the equation to get:

2 = -0.2(-2)² + 4(-2) + c

Hence, c = -6Therefore, the equation of the quadratic function is:

y = -0.2x² + 4x - 6(C)

Maximum or minimumSince the leading coefficient a is negative, the parabola opens downwards. Hence, the vertex is a maximum point of the function. Therefore, the maximum value of the function is y = 2(D) Range GCIS stands for Greatest Common Integer Set, which is the set of all integers that can be produced by the function. The range of the function is the set of all possible y-values. Since the vertex is a maximum point of the function, the range is all y-values less than or equal to the y-coordinate of the vertex. Therefore, the range is:y ≤ 2Therefore, the x-intercepts are x = -4 and x = 5.The vertex is at (0.5, 2). The maximum value of the function is y = 2.The range is y ≤ 2.

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Answer:

3 gallons

Step-by-step explanation:

area = 15.2 x 25.6 = 389.12 m²

389.12/180 = 2.16

Answer:

You will pay $65.88 in total

Step-by-step explanation:

Bill amount: $54
Tip: 22% = $54 * 0.22 = $11.88

Sum up: $54 + $11.88 = $65.88

The perimeter of triangle JKL is  determined as 68 units.

The perimeter of triangle JKL is calculated as follows;

The perimeter of triangle JKL is the sum of all the distance round the triangle.

Perimeter = length JK + length LK + length JL

AL = CL = 12

Length LK = CL + CK = 12 + 8 = 20

JA = JB = 14

KB = CK = 8

Length JK = JB = KB = 14 + 8 = 22

Length JL = JA + AL = 14 + 12 = 26

The perimeter of triangle JKL is calculated as;

Perimeter = 20 + 22 + 26

Perimeter = 68 units.

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Answer:

A shows all possible combinations

Step-by-step explanation:

A drop of water is denser than a ping-pong ball.

Usually, water is made of particles that are firmly pressed together. In differentiation, plastic (the material ping pong balls are made of) may be a lightweight fabric and the particles are not as firmly stuffed together.

The thickness of a ping pong ball is 0.0840 g/cm³, though water’s thickness is 997 kg/m³. Subsequently, ping pong balls aren’t about as thick as water and will continuously coast and surface greatly quickly.

The ping pong ball appears to oppose gravity and coast within the air.

Ping-pong balls drift within the water since they are amazingly lightweight, empty, and filled with air. Too, the water’s surface pressure makes it simple for the ping pong ball to drift.

In expansion, water is denser than ping pong balls, making them look for the most noteworthy point of water.

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The sound which we hear when the pig pong ball is bounced on the floor

is 19.48 DB

The repeating of sounds, especially in rhyme, is the form of repetition that most people connect with poetry. Alliteration, assonance, and onomatopoeia are other sound patterns in poetry that give additional meaning in addition to rhyme. Every one of these audio elements has a certain purpose in a poem.

a) \(\sum \ log(n)\)

by expanding the series for each value of n is

log (1) + log (2) + log(3) + log (4) + ......... + log ( 96)

simplify the expanded form we get

0 + 0.3010 + 0.4771+0.6020 ......................... + 1.982

=> 149.9963

b) \(\sum_{n=0}\) to infinity \(\sqrt{0.9^n}\)

formula for the sum of number in geometric progression

is  a/1-r

to find the ratio of the successive terms

plugging into the formula

r = \(\frac{a_{n+1}}{a_n}\)

r = \(\frac{\sqrt{0.9^{n+1}} }{\sqrt{0.9^n} }\)

=> r = \(\frac{\sqrt{0.9^n \times 0.9} }{\sqrt{0.9^n} .1}\)

=> r = \(\frac{\sqrt{0.9} }{1}\)

=> r = \(\sqrt{0.9}\)

=> a = \(\sqrt{0.9^0}\)

=> a = \(\sqrt{1}\)

=>  a= 1

by applying the formula having the value a =1 is

\(\frac{1}{1-\sqrt{0.9} }\)

rationalize the denominator by multiplying with \(1+\sqrt{0.9}\)

=> \(\frac{1+\sqrt{0.9} }{(1-\sqrt{0.9} ) (1+\sqrt{0.9}) }\)

=> 19.4868

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The cost of one Gatorade is $32.95.

The total cost of both gatorade is the sum of the value of the gift card and the total cost.

Total cost of both gatorade = value of the gift card + total cost  

$25 + 40.90 = $65.90

In order to determine the cost of one gatorade, divide $65.90 by 2

The cost of one gatorade = Total cost of both gatorade / 2

$65.90 / 2 = $32.95

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Answer:

The answer is below

Step-by-step explanation:

Let x represent the cost of 1 scoop of ice cream. Since the cost of 2 scoops of ice cream are twice the price of 1 scoop of ice cream, therefore the cost of 2 scoops of ice cream = 2x

Jean buys 4 tubs with 2 scoops in them and 2 tubs with 1 scoop each. Therefore the money spent by Jean is:

Money spent by Jean = 4(2x) + 2(x) = 8x + 2x = 10x

Sarah buys 2 tubs of 2 scoops and 4 tubs of 1 scoop. The money spent by Sarah is:

Money spent by Sarah = 2(2x) + 4(x) = 4x + 4x = 8x

Sarah spends 2.50 € less than Jean. Therefore:

Money spent by Sarah = Money spent by Jean - 2.5

8x = 10x - 2.5

2x = 2.5

x = €1.25

Therefore the cost of 1 scoop of ice cream is €1.25, the cost of 2 scoops of ice cream is €2.50.

Money spent by Jean = 10x = 10(1.25) = €12.5

Money spent by Sarah = 8x = 8(1.25) = €10

Answer:

8(3s+t)

Step-by-step explanation:

Because the greatest common factor of 24s and 8t is 8, then factoring out 8 from the expression gives us 8(3s+t).

Answer:

8(3s + t)

Step-by-step explanation:

=> 24s + 8t

=> 8 × 3s + 8 × 1t

=> 8(3s + 1t)

=> 8(3s + t)

The response will be A. 34 based on the details provided.

Multiplication is the reverse of division. If the three sets of 4 add up to 12, then 12 split into 3 groups of identical size results in 4 in each group. The primary objective of division is to count the number of equal groups that are created or the number of individuals in each group after a reasonable distribution.

We can divide the overall number of attendees by the number seated in each section to determine the number of sections in the auditorium:

Number of sections = Total number of attendees / Number of people in each section

Number of sections = 5,406 / 159

Number of sections ≈ 34.04

We are able to round up to the closest whole number because we are unable to have a fractional portion of a section, which results in:

Number of sections ≈ 34

Therefore, the answer is A. 34

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False. The Six Sigma DMAIC approach is best suited for number of problems and issues that require a systematic approach and have measurable results. It should not be employed for all problems as some may require a different approach.

The Six Sigma DMAIC (Define, Measure, Analyze, Improve, Control) approach is a systematic process that is used to identify and eliminate defects in processes, products, or services. This approach is best suited for problems and issues that have a structured approach, measurable results, and an opportunity for improvement. However, it should not be employed for all problems as some may require a different approach such as root-cause analysis or process mapping. Additionally, some number of problems may require creative solutions that cannot be addressed using the DMAIC approach. In these cases, alternative approaches such as brainstorming or design thinking should be employed.

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Answer:

Base = 4.62m,   Height = 6.93m

Step-by-step explanation:

I worked through the black first, then went to the blue.

Answer:

x= \(-\frac{90}{47}\) and y= \(\frac{288}{47}\)

Step-by-step explanation:

You have to multiply both sides by 3 then add the equations vertically to eliminate a variable and you going to get -47x=90

Divide both sides of the equation by -47 e.g \(x=-\frac{90}{47}\) substitute the given value of x into the equation -3x + 2y = 18 e.g -3x (-90/47) + 2y = 18

Answer the equation ans that's all

Answer:

9,420 ft³

Step-by-step explanation:

The scale factor is 1.2, we know this because if you divide 12 by 10, you get 1.2, and using this information, you multiply the volume of the blue cylinder(7850) by 1.2, and that gives a volume of 9,420 feet.

Hope this helps!