Find the largest three consecutive even integers whose sum is less than 37.
I will give u brainliest

Graph the solution of the inequality 4.5k>18 is equal to  k > 4 ( see image), by using the inequality equation.

Based on the given conditions,

4.5k>18

In mathematics, a relationship between two expressions or values that are not equal to each other is called 'inequality.

The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality.

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value.

a ≠ b says that a is not equal to b

a < b says that a is less than b

a > b says that a is greater than b

(those two are known as strict inequality)

a ≤ b means that a is less than or equal to b

a ≥ b means that a is greater than or equal to b.

To solve given graph,

We can write,

4.5k>18

4.5k - 18 > 0

4.5k > 18

k > 18/4.5

We can get the division,

k > 4   (We can see image)

Therefore,

4.5k>18 Graph the solution of the inequality is k > 4 ( see image ), by using inequality equation.

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Step-by-step explanation:

We can use standard form to make it simpler to deal with.

0.45=45×10^-2

0.3=3×10^-1

Now 45÷3=15

10^-2÷10^-1=10^-1

So the answer is 15×10^-1 OR 1.5

36 + 36 + 36 equals 108.

Happy to help, have a great day! :)

AB = BC

Area of shaded part = Area of the square - the area of the circle

Area of shaded part = 37.68- 12 =25.68 square inche

Answer:

In a right rectangular prism, a cross section can be cut on a slant to produce a variety of additional shapes. Depending on the angle of the cut, the cross section can be a triangle, quadrilateral, pentagon, or hexagon. The maximum number of "sides" of a cross section (plane section) equals the number of faces (surfaces) of the solid

Answer:

a rectangle

Step-by-step explanation:

When a geometric plane slices a prism so that the cut is parallel to the plane of the base, the cross section will have the shape of the base. So, in the case of a right rectangular prism, the cross section is a rectangle.

Answer:

She will actually do it on the 35th day of gym

The Cost of One Tomato Plant is $1.4 and the cost of one pepper plant is $1.25 .

Here are a pair of two linear equations in two variables.

Let assume ,

One tomato plant is x

one pepper plant is y

Pair of two linear equations in two variables :

         4x + 3y = 9.35     →  (i)

        2x + 11y = 16.55    →  (ii)

Multiplying equation (ii) by 2 , we have :

      4x + 3y = 9.35    (iii)

    4x + 22y = 33.10   (iv)

Subtracting equation (iv) from (iii)

     19y = 23.75

 ⇒    y = 1.25

substituting the value of y in any of the equation (i) & (ii), we have:

      4x +3(1.25) = 9.35

 ⇒    x = 1.4

therefore , x = 1.4 & y = 1.25 is the point where the given equations intersect.

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The equation (4^a)^b = 256 / x^8 is given. We need to solve for the values of a and b.

To solve the equation (4^a)^b = 256 / x^8, we can simplify the left side of the equation using the exponent rules.

Recall that when we raise an exponent to another exponent, we multiply the exponents. Applying this rule, we have (4^a)^b = 4^(a*b).

Now, the equation becomes 4^(a*b) = 256 / x^8.

To further simplify, we need to express both sides of the equation with the same base. Since 256 is a power of 4 (4^4 = 256), we can rewrite the right side as 4^(4 * (8/2)) = 4^(4 * 4) = 4^16.

Therefore, we have 4^(a*b) = 4^16. In order for the bases to be equal, the exponents must also be equal.

Hence, we have a*b = 16.

To solve for the values of a and b, we need additional information or constraints provided in the problem. Without such information, we cannot determine the specific values of a and b that satisfy the equation.

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Complete Question - What are the values of a and b in the equation (4 x Superscript a Baseline) Superscript b Baseline = StartFraction 256 Over x Superscript 8 EndFraction?

Answer:

(0, 50)

Step-by-step explanation:

The equation of a line is in the form of the y-intercept form

\(y = mx + b\)

where m is the slope and B is the y intercept. So in our case

\(y = 50 + 5x\)

if we use the commutative property we can rewrite our equation as

\(y = 5x + 50\)

therefore b = 50 is our why intercept

Both functions are the solution to the given Laplace solution.

Given Laplace's equation: \(u_{x x}+u_{y y}=0\)

(1) \(u=e^{-x} \cos y-e^{-y} \cos x\)

Differentiate with respect to x as follows:

\(u_x=-e^{-x} \cos y+e^{-y} \sin x\\u_{x x}=e^{-x} \cos y+e^{-y} \cos x\)

Differentiate with respect to y as follows:

\(u_{x x}=e^{-x} \cos y+e^{-y} \cos x\\u_{y y}=-e^{-x} \cos y-e^{-y} \cos x\)

Supplement the values in the given Laplace equation.

\(e^{-x} \cos y+e^{-y} \cos x-e^{-x} \cos y-e^{-y} \cos x=0\)

The given function in this case is the solution to the given Laplace equation.

(2) \(u=\sin x \cosh y+\cos x \sinh y\)

Differentiate with respect to x as follows:

\(u_x=\cos x \cosh y-\sin x \sinh y\\u_{x x}=-\sin x \cosh y-\cos x \sinh y\)

Differentiate with respect to y as follows:

\(u_y=\sin x \sinh y+\cos x \cosh y\\u_{y y}=\sin x \cosh y+\cos x \sinh y\)

Substitute the values to obtain:

\(-\sin x \cosh y-\cos x \sinh y+\sin x \cosh y+\cos x \sinh y=0\)
The given function in this case is the solution to the given Laplace equation.

Therefore, both functions are the solution to the given Laplace solution.

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The correct question is given below:
Determine whether each of the following functions is a solution of Laplace's equation uxx + uyy = 0. (Select all that apply.) u = e^(−x) cos(y) − e^(−y) cos(x) u = sin(x) cosh(y) + cos(x) sinh(y)

Answer:

yes

Step-by-step explanation:

since they have the same distance they are congruent

Answer:

yes

Step-by-step explanation:

because they have the same distance, they're congruent.

Answer:

1 ≤ x ≤ 9

Step-by-step explanation:

Answer:

D- The x-intercept is (-3,0), and the y-intercept is (0,12).

Step-by-step explanation:

right on plato/edmentum

The solution is Option D.

The x-intercept is ( -3 , 0 ), and the y-intercept is ( 0 , 12 )

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

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

Given data ,

Let the equation of the line be f ( x ) = y

And , the equation is

f ( x ) = 4x + 12

So , y = 4x + 12

To find the x intercept of the line ,

Substitute the value of y = 0

So , 0 = 4x + 12

Subtracting 12 on both sides , we get

4x = -12

Divide by 4 on both sides , we get

x = -3

Therefore , the x-intercept is ( -3 , 0 )

Now , To find the y intercept of the line ,

Substitute the value of x = 0

So , y = 12

Therefore , the y-intercept is ( 0 , 12 )

Hence , The x-intercept is ( -3 , 0 ), and the y-intercept is ( 0 , 12 )

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The coterminal angle is 330°, which lies in Quadrant fourth, with a reference angle of 258 degrees.

We have 588 ° between 0° ≤θ<360

Coterminal angle in [0, 360°) range is 330°, located in the fourth quadrant.

Then for the reference angle will be

588 -330= 258

Thus, the reference angle is 258°

Therefore, we can conclude that  coterminal angle is 330°, which lies in Quadrant fourth, with a reference angle of 258 degrees.

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As per the given commission, the sales price of the property is $405,000.

To do this, we need to break down the commission earned by the agent into two parts: the commission earned on the first $300,000 and the commission earned on the remaining amount. The commission earned on the first $300,000 can be calculated as:

Commission on first $300,000 = 6% of $300,000

Commission on first $300,000 = 0.06 x $300,000

Commission on first $300,000 = $18,000

So, the remaining commission earned by the agent on the amount that exceeds $300,000 is:

Total commission - Commission on first $300,000 = $21,150 - $18,000

Total commission - Commission on first $300,000 = $3,150

Now, we know that the commission earned on the remaining amount is 3% of the sales price that exceeds $300,000. Let's assume the sales price of the property is x. Then we can write the following equation:

3% of (x - $300,000) = $3,150

We can simplify this equation as follows:

0.03(x - $300,000) = $3,150

x - $300,000 = $3,150 / 0.03

x - $300,000 = $105,000

x = $300,000 + $105,000

x = $405,000

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The Highest Common Factor (HCF) of 18, 36 and 120 is 6.

A factor is a number that divides another number, leaving no remainder.

Given that, we need to find HCF of 18, 36 and 120.

Finding Factors :-

18 = 2 × 3 × 3

36 = 2 × 2 × 3 × 3

120 = 2 × 2 × 2 × 3 × 5

Common factors = 2 and 3

Therefore,

Highest Common Factor = 2 × 3 = 6

Hence, the Highest Common Factor (HCF) of 18, 36 and 120 is 6.

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The solution of the quadratic equation is x = 2. Therefore, \(\frac{4+\sqrt{-4^{2}-4(1)(4) } }{2(1)}\)  or \(\frac{4-\sqrt{-4^{2}-4(1)(4) } }{2(1)}\)

The quadratic formula can be use to solve the quadratic equation as follows:

x² - 4x + 4 = 0

Modelling it to quadratic equation, ax² + bx + c

Hence,

using quadratic formula,

\(\frac{-b+\sqrt{b^{2}-4ac } }{2a}\) or \(\frac{-b-\sqrt{b^{2}-4ac } }{2a}\)

where

Hence,

a = 1

b = -4

c = 4

Therefore,

\(\frac{4+\sqrt{-4^{2}-4(1)(4) } }{2(1)}\) or \(\frac{4-\sqrt{-4^{2}-4(1)(4) } }{2(1)}\)

Finally

x = 2

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Answer:

I'm going to assume the question is asking for a unit rate, and it would be 2 minutes per bag

Step-by-step explanation:

Answer:

Simple interest formula

#1

18 months = 1.5 years

The difference in the amount of interest:

#2

#3

#4

The box office sold 360 tickets to a concert at

the college. The total receipts were $4,170. General

admission tickets cost $15 and student tickets cost $10.

How many of each kind of ticket was sold?

Answer: 114 general admission tickets and 246 student tickets were sold.

Step-by-step explanation:

Let x represent the number of general admission tickets that were sold.

Let y represent the number of student tickets that were sold.

The box office sold 360 tickets to a concert at the college. It means that

x + y = 360

General admission tickets cost $15 and student tickets cost $10. The total receipts were $4170. It means that

15x + 10y = 4170- - - - - - - - -1

Answer:

A

Step-by-step explanation:

45/3=（4b-1）

15=4b-1

15+1=4b

16=4b

4=b

b=4

The solution for 45 = 3(4b − 1) is, A. A. b = 4.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

45 = 3(4b − 1)

45/3=（4b-1）

15=4b-1

15+1=4b

16=4b

4=b

i.e.  b=4

Hence, The solution for 45 = 3(4b − 1) is, A. A. b = 4.

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The test statistic of null and alternative hypotheses for a test is 0.811.

69 of the 142 persons that were randomly chosen from a sample are found to meet the condition we are testing.

The sample proportion phat = 69 ÷ 142 = 0.489

n = 69

p = 0.54

the following are your test's null and alternate hypotheses:

\(H_0\) : p = 0.54

\(H_a\) : p < 0.54,

test statistic,

z = (phat - p) ÷ √(p × (1 - p) ÷ n)

z = (0.489 - 0.54) ÷ √((0.79 × 0.21) ÷ 42) = 0.811

A test statistic is a figure obtained from a statistical analysis. It explains how distant the observational values seem to be from the null hypothesis, which states that there is no correlation between the variables or distinction between the sample groups.

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The positive closure of L is L+=L∗−{∅}={a∗−{ε}}={an:n≥1}.

Hence, the correct option is (c) L+=L∗.

Given L={a2i+1:i≥0}.

We need to determine which of the following statement is true.

Statesments: a. L2={a2i:i≥0}

b. L∗=L(a∗)

c. L+=L∗

d. None of the other statements is true

Note that a2i+1= a2i.

a Therefore, L={aa:i≥0}.

This is the set of all strings over the alphabet {a} with an even number of a's.

It contains the empty string, which has zero a's.

Thus, L∗ is the set of all strings over the alphabet {a} with any number of a's, including the empty string.

Hence, L∗={a∗}.

The concatenation of L with any language L′ is the set {xy:x∈L∧y∈L′}.

Since L contains no strings with an odd number of a's, L2={∅}.

The positive closure of L is L+=L∗−{∅}={a∗−{ε}}={an:n≥1}.

Hence, the correct option is (c) L+=L∗.

Note that the other options are all false.

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The sunfish adds around 2% to its present mass each day, which is the daily percent change in mass.

Based on the provided model, the daily percent change in the mass of the ocean sunfish is an addition of around 2% to its mass. By calculating the derivative of the function M(t) with respect to t, the following may be calculated:

\(M'(t) = \frac{ln(1.35)}6 * (1.35)^t\)

This indicates that the constant factor is ln(1.35)/6, or around 0.02, and therefore the rate of change of the sunfish's mass with respect to time is proportionate to the sunfish's present mass.

As a result, the sunfish's daily percent change in mass is around a 2% increase over its present mass.

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Answer:

FG = 51

Step-by-step explanation:

2/5 of 85 = 34

The value of EF is 34

So the value of FG would be the value of EG - EF

85 - 34 = 51