Three consecutive even integers have a sum of 18. find the integers ​

Answer:

Step-by-step explanation:

false that is not at all true

Answer: LCM is 72. GCF is 6.

In summary solution for this question  the value of x is 10.

Angles u and v are complementary, which means their measures add up to 90 degrees.

Given:

Angle u = 3x + 4

Angle v = 56

To find the value of x, we can set up an equation using the fact that the sum of the angle measures is 90 degrees:

Angle u + Angle v = 90

Substituting the given values:

(3x + 4) + 56 = 90

Now, we can solve for x:

3x + 4 + 56 = 90

3x + 60 = 90

3x = 90 - 60

3x = 30

x = 30/3

x = 10

Therefore, the value of x is 10.

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The exact expression for the electrostatic potential at a point P in the x, y plane at a distance r from the center of the quadrupole is given by V(r) = k [Q/(r2 + D2)1/2 – Q/[(r2 + 2d + D2)1/2]] + k [-2Q/D].

Let's consider that three charges are placed in a straight line along the z-axis, and the charges are +Q on z=+D, -Q on z=-D, and -2Q at z=0.

To find the electrostatic potential at a point P in the x, y plane at a distance r from the center of the quadrupole, let's proceed with the following steps:

To find the electrostatic potential at a point P in the x-axis, we need to consider that the distance from the charges that are on the axis is r, and the distance from the charges that are on the axis and are at +D and -D is d.

The distance from the charges on the axis and at 0 is x. Now we can write,

V(x) = k [Q/(x2 + D2)1/2 – Q/[(x + d)2 + D2]1/2] + k [-2Q/D].

Now, we can substitute the values in the above expression and obtain,

V(x) = k [Q/(x2 + D2)1/2 – Q/[(x + d)2 + D2]1/2] + k [-2Q/D] .

Now, we need to use symmetry to argue that we can switch from x to r, which is given by r2 = x2 + y2.

Thus, the exact expression for the electrostatic potential at a point P in the x, y plane at a distance r from the center of the quadrupole is given by V(r) = k [Q/(r2 + D2)1/2 – Q/[(r2 + 2d + D2)1/2]] + k [-2Q/D].

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The maximum period of time they could reserve the meeting space is 9 hours.

Mathematical expressions with the symbols > and are known as inequality. Finding a range, or ranges within ranges, of values that an unknown x can have while still satisfying the inequality is referred to as "solving" an inequality. In this lesson, inequalities are resolved using graphs and algebra.

An algebraic inequality expression is a mathematical statement that uses the it as a sign to connect an expression to a value, a variable, or another expression. One type of variable inequalities can have solutions that can be graphed either in a coordinate plane or on a number line.

Inequality expression is 31 + 5.9*t < 84.10.

To understand it, collect all constant on the right side:

5.9*t < 84.10 - 31 = 53.10,

Hence, t < 53.10 % 5.9 = 9 hours.

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Correct Question:

To rent a certain meeting room, a college charges a reservation fee of $31 and an additional fee of $5.90 per hour. The chemistry club wants to spend less than $84.10 on renting the meeting room. What are the possible amounts of time for which they could rent the meeting room? Use t for the number of hours the meeting room is rented, and solve your inequality for t.

Answer:

x = 3

Step-by-step explanation:

since it's hitting 3 on the x axis and just goes up and down where 3 is, all the points have an x of 3 and nothing else. making the equation x = 3

Answer:  \(\dfrac{1}{10}\)

Step-by-step explanation:

Given: The bag has 5 green chips, 3 red chips, and 7 blue chips.

Total chips = 5+3+7= 15

Number of ways to select a red and then a blue chip = 3 x 7 = 21

Total number of ways to select 2 chips without replacement = 15 x 14 =210

Required probability = \(\dfrac{\text{favorable outcomes}}{\text{Total outcomes}}\)

\(=\dfrac{21}{210}=\dfrac{1}{10}\)

So, the probability that he selects a red and then a blue chip (without replacing) =  \(\dfrac{1}{10}\)

In respοnse tο the questiοn, we may say that  In 100 years, there will be functiοn arοund 125 grammes left.

Mathematicians research numbers, their variants, equatiοns, assοciated structures, fοrms, and pοssible cοnfiguratiοns οf these. The wοrd "functiοn" describes the cοnnectiοn between a grοup οf inputs, each οf which has a cοrrespοnding οutput. A functiοn is a cοnnectiοn between inputs and οutputs where each input results in a single, distinct οutcοme. Each functiοn has a dοmain, cοdοmain, οr scοpe assigned tο it. Functiοns are usually denοted by the letter f. (x). An x is entered. On functiοns, οne-tο-οne capabilities, sο multiple capabilities, in capabilities, and οn functiοns are the fοur main categοries οf accessible functiοns.

Setting t = 0 in the prοvided functiοn will reveal the sample's οriginal quantity:

A(0) = 647

\((1/2)^{(0/30)}\) = 647

As a result, there are 647 grammes οf starting material in the sample.

In οrder tο calculate the amοunt left after 100 years, we must enter t = 100 intο the supplied functiοn:

\(A(100) = 647(1/2)^{(100/30) }= 647(1/2)^{(10/3)}\) ≈ 125.24

Thus, there will be arοund 125 grammes left after 100 years (rοunded tο the nearest gram).

There are 647 grammes οf starting material in the sample.

In 100 years, there will be arοund 125 grammes left.

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The initial amount of the sample is 647 grams and the amount remaining after 100 years is 69 grams.

what is functiοn?

Mathematicians research numbers, their variants, equatiοns, assοciated structures, fοrms, and pοssible cοnfiguratiοns οf these. The wοrd "functiοn" describes the cοnnectiοn between a grοup οf inputs, each οf which has a cοrrespοnding οutput.

The given exponential function is:

A(t) = 647(1/2)^(t/30)

where t is the time in years.

To find the initial amount of the sample, we need to evaluate A(0):

A(0) = 647(1/2)^(0/30) = 647(1) = 647

Therefore, the initial amount of the sample is 647 grams.

To find the amount remaining after 100 years, we need to evaluate A(100):

A(100) = 647(1/2)^(100/30) ≈ 69.35

Rounding this to the nearest gram gives the amount remaining after 100 years as 69 grams.

Therefore, the initial amount of the sample is 647 grams and the amount remaining after 100 years is 69 grams.

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Answer:

Remember that the slope of perpendicular lines are negative reciprocals of each other.Step-by-step explanation:y = 1 - 2x     the slope is -2     the value of the x term.So the slope of the new line using point (- 1, 2)  is  1/2.Now use y = mx + b where y = -1, x = 2, and m = 1/2 .y = mx + b-1 = 1/2(2) + b                solve for "b", the y-intersect-1 =  1 + b-2 = bThe line that is perpendicular to y = 1 - 2x  is  y = 1/2x - 2

Step-by-step explanation:

SSR represents the amount of variation in Y that is explained in regression analysis.

It is also known as the sum of squares due to regression, which measures the difference between the predicted values and the actual values of the dependent variable (Y).

The higher the value of SSR, the better the fit of the regression line to the data. This is because a higher SSR indicates that more of the variation in Y is being explained by the independent variable (X).

Therefore, the correct answer to the multiple choice question is "The amount of variation in Y that is explained."

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Answer:

-5

Step-by-step explanation:

5 - 2 · 3 + 4

Follow  the Bodmas rule

= 5 - 6 + 4

= 5 - 10

= - 5

Hey there!

\(5-2*3+4\)

Let's simplify.

\(5-2*3+4\\5-(2)(3)+4=3\\3\text{ is your answer.}\)

So the answer is B. 3.

Hope this helps!

\(\text{Please rate this answer, or mark brainliest, and don't forget to thank!}\\\text{-TestedHyperr}\)

Answer:

Wendy needs to run 24 laps around the track.

Step-by-step explanation:

Hi there!

We're given:

- Wendy wants to run 3 miles

- School track = 1/8 miles per lap

Let x be equal to the number of laps that Wendy has to run.

If she wants to run 3 miles, then she wants to run x laps around the track:

1/8x = 3

Divide both sides by 1/8:

x = 8 * 3

x = 24

Therefore, Wendy needs to run 24 laps around the track.

I hope this helps!

Without specific information about the blood pressure levels of the twenty selected members before and after the program, it is impossible to say whether or not the program was successful in reducing the average systolic blood pressure level.

Based on the information given, the staff member at UF's wellness center selected twenty people to participate in a new stress reduction program in order to see if it would lower their high systolic blood pressure levels. The blood pressure levels of each member were measured before the program began, and again one month after it ended.
To determine whether the program reduced the average systolic blood pressure level, the staff member would need to compare the average systolic blood pressure level before the program to the average level after the program. If the average systolic blood pressure level decreased after the program, it could be inferred that the program was successful in reducing blood pressure levels.

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To find the length of the side opposite the angle, multiply the hypotenuse by sin(). Alternatively, to obtain the side next to the angle, multiply the hypotenuse by cos()

The term "hypotenuse" refers to a right-angled triangle's longest side as compared to the base and perpendicular lengths. The right angle, the largest angle of the three angles in a right triangle, is opposite the hypotenuse side. In essence, only the right triangle possesses the hypotenuse feature, not any other triangles. When we study the right-angled theorem, Pythagoras Theorem, or Pythagorean Theorem, this is better understood.

Pythagoras theorem defines the hypotenuse theorem. This theorem states that the square of a right-angled triangle's hypotenuse side is equal to the sum of its base and perpendicular squares, so that;

Hypotenuse2 = Base2 + Perpendicular2

The square root of the sum of the base and perpendicular squares of a right-angled triangle provides the formula to get the hypotenuse. The hypotenuse formula is represented as follows:

Hypotenuse = √[Base2 + Perpendicular2]

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Using the mid point, the coordinates of the end point V is (7, -27)

A midpoint is a point lying between two points and is in the middle of the line joining the two points.

In other words, the midpoint of a line segment is a point that lies halfway between 2 points.

Therefore, the coordinates of the endpoint V can be found as follows:

using the mid point,

(xₙ, yₙ) = (x₁ + x₂ / 2, y₁ + y₂ / 2)

Therefore,

(5, -11) = (3 + x₂ / 2, 5 + y₂ / 2)

Hence,

5 = 3 + x₂ / 2

cross multiply

10 = 3 + x₂

10 - 3 = x₂

x₂ = 7

Hence,

- 11 = 5 + y₂ / 2

-22 = 5 + y₂

-22 - 5 = y₂

y₂ = - 27

Therefore, the coordinates of V is (7, -27)

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Answer:

$838.09

Details:

750.44 after one year.

771.45 after two years.

793.05 after three years.

815.26 after four years.

838.09 after five years.

Answer:

4/-9 = 2/3

Step-by-step explanation:

The possible widths for the rectangular mural are between 10 and 15 feet. We can also list the number of possible widths within this range, which is six. They are 10 feet, 11 feet, 12 feet, 13 feet, 14 feet, and 15 feet.

To determine the possible widths for the rectangular mural with an area of 60 square feet, we can use the formula for the area of a rectangle, which is length multiplied by width. Since the area is given as 60 square feet and the length should be between 4 and 6 feet, we can set up inequality as follows:

4w ≤ 60 ≤ 6w

where w is the width of the mural in feet. Solving this inequality for w, we get:

10 ≤ w ≤ 15

It is important to consider the dimensions carefully to ensure that the mural meets the requirements and fits in the desired space. By having multiple possible widths, the class can select the most suitable one based on the available resources and space.

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Complete question:

Our class is planning to paint a rectangular mural with an area of 60 square feet, it should be at least 4 feet high but not more than 6 feet in length and width, and list a number of possible widths for our class. Planning to paint a rectangular mural with an area of 60 square feet, it should be at least 4 feet high but not more than 6 feet in length and width, and list the number of possible widths for it.

Answer: 4. A 5. C 6. D

Step-by-step explanation: that’s it!!!!!!!!!!

In both symbolizations, we use universal quantifiers (∀) to represent "any," conjunction (∧) for "and," implication (→) for "is better than," negation (¬) for "not," and parentheses to group the conditions.

Let's symbolize each English-language sentence into First-Order Logic (FOL) using the given symbolization key:

Domain: Candies

C(x): x has chocolate in it.

M(x): x has marzipan in it.

S(x): x has sugar in it.

T(*): Boris has tried * (denotes any candy).

B(x, y): x is better than y.

Any candy with chocolate is better than any candy without it.

Symbolization: ∀x ∀y ((C(x) ∧ ¬C(y)) → B(x, y))

Any candy with chocolate and marzipan is better than any candy that lacks both.

Symbolization: ∀x ∀y ((C(x) ∧ M(x) ∧ ¬(C(y) ∧ M(y))) → B(x, y))

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Answer:

9.56 Ms2

Step-by-step explanation:

Hey there mate :)

As per question,

Given that Nicole made:-

\(5 {x}^{3} - 13x^{2} - 20x + 800\)

And she packed:-

\((x - 5)\)

1. The number of boxes can be obtained as the quotient when 5x^3-13x^2-20x+800 divided by x-5.

(The division part is attached as image. Check it)

Thus the number of boxes is 5x^2+12x+40

2) The number of cupcakes left unpacked is equal to the remainder when 5x^3-13x^2-20x+800 divided by x-5.

Thus, the number of cakes left and unpacked is 1000

Using the formula they gave us:

Cost of shipping = 2.79 + 0.38(8)

Cost of shipping = 2.79 + 3.04

Cost of shipping = 5.83(currency unit)

Answer: 15/11, or 1 4/11

Step-by-step explanation: Just flip the fraction

Answer: I dont really know if you want it as a decimal or fraction so I did both

As a decimal:0.00606060606

Reciprocal:4/3

Fraction:3/4

Answer:

yes, i think it is

Step-by-step explanation:

Answer:

Yes...your right...but no...its 28 degrees.

Step-by-step explanation:

So bascially, angle C is 90 degrees. So is angle D.

We know A is 28 degrees.

We know a tiangle is 180 degrees.

We dont know the degree of C in the first trinagle or the secodn triangle, but again, we know the total degrees of C is 90.

To find the missing angle, we must find what C is first.

So, we know we can subtract 90 from 180 to get 90. Since there is a 90 degree angle in the first triangle.

Next we can subtract 28, since we know that is the measure of angle A.

This gets us 62.

Now subtract 62 from the 90 degrees of angle C. THis will find us its angle in the second traingle.

This gets us 28.

This is our missing number.

So you were wrong in the sense that you solved for the wrong angle y, but you did get the right answer:

Since we know that a triangle is 180, and one of these is a right angle, there is 90 degrees.

If we subtracrt the 28 we got just now, we would get 62, which is angle B, or DBC.

However, the 28 is angle C, or DCB.

So your answer is actually 28, not 62.

Hope this helps!

Answer:

ITs C One solution

Step-by-step explanation:

Two sides are not equal.

Answer:

Step-by-step explanation:

\(\displaystyle\\p=10^m;q=10^n;p^n*q^m=100\\\\p^n*q^m=(10^m)^n*(10^n)^m=10^{mn}*10^{nm}=10^{2mn}=100^{mn}=100\\\\\Rightarrow\ mn=1\)

Using trigonometric function the value of x is 51.3°.

What is trigonometric function?

The functions of an angle in a triangle are known as trigonometric functions, commonly referred to as circular functions. In other words, these trig functions provide the relationship between a triangle's angles and sides. There are five fundamental trigonometric functions: sine, cosine, tangent, cotangent, secant, and cosecant.

Here Let us take the given right triangle as ABC.

∠A = x , ∠B = 90° and AB = 25 , AC= 40

Now using Cosine ratio then

Cos  A = \(\frac{adjacent}{hypotenuse}\)

=> cos x = \(\frac{25}{40}\)

=> cos x = \(\frac{5}{8}\)

=> x = \(cos^{-1}\frac{5}{8}\)

=> x = 51.3°

Hence the value of x is 51.3°.

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Step-by-step explanation:

i don't know sorry i didnt understand