How did the values compare the greatest 1/4 -1 1/4 -2 1/4 -1 3/4 -2 1/4

The least integer is 15 in the given arithmetic question

Any number that is not zero, a positive natural number, or a negative number denoted by a minus sign is an integer. The opposites of their corresponding positive numbers, the negative numbers are additive. The blackboard bold \(\mathbb {Z}\) or boldface Z are frequently used in mathematical notation to represent a set of integers.

Find the smallest positive integer such that 2940 is a perfect cube i such that 2940 is a perfect cube

2940=2×2×3×5×7×7

⇒2940=2²×7²×3×5

when we multiply by(3×5=15)then 2940 is a perfect square

The least integer is 15

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Answer:

2,250 yd^3

Step-by-step explanation:

formula for pyramid is lwh/3

An isosceles triangle is a triangle that has two sides of equal length and two angles that are also equal. In this case, the flag on the golf course is in the shape of an isosceles triangle.

We also know that one leg of the triangle is fastened to a pole and forms an 84-degree angle with the pole. Since the triangle is isosceles, the two other angles must also be equal. Let's call these angles x.

The sum of the angles in any triangle is always 180 degrees. So, we can set up an equation:

84 + x + x = 180

Simplifying the equation, we get:

2x + 84 = 180

Subtracting 84 from both sides, we get:

2x = 96

Dividing both sides by 2, we get:

x = 48

So each remote interior angle in the isosceles triangle is 48 degrees.

In conclusion, each remote interior angle in the isosceles triangle formed by the flag on the golf course is 48 degrees.

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Answer:

A

Step-by-step explanation:

To find the area of the similar rectangles we have to just find the ratio of area of the each rectangle separately.

Given that,

We have to find the area of the similar rectangles.

We know that,

The opposite sides of a quadrilateral are equal and parallel, and all the angles are equal. Around us, there are several rectangle-shaped items. Two dimensions, the length and breadth, define each rectangle shape. The width and length of a rectangle are its longer and shorter sides, respectively.

Therefore, To find the area of the similar rectangles we have to just find the ratio of area of the each rectangle separately.

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Answer:

x=   -7/32 or -0.21875

Step-by-step explanation:

You can start by adding like terms such as 10 and 12 to get 22.

Subtract 22 from both sides to get -7=32x.

Divide both sides by 32.

x=-7/32 or -0.21875

I know this looks weird but... it's right.

The actual error is 1.8147. Therefore, the correct option is the last option, 0.00142.

The first derivative of f(x) = x - 4ln x is calculated using the formula f'(x) ≈ 3f(x) - 4f(x - h) + f(x - 2h) / (2h) where h = 0.5 and x = 4, with the approximation 3f(x) - 4f(x - h) + f(x - 2h) f'(x) ~ 12h. We are to determine the actual error.

When we substitute the given values, we obtain:f(x) = x - 4ln x, h = 0.5, and x = 4f(4) = 4 - 4ln 4 = 0.6137f(4 - h) = f(3.5) = 3.5 - 4ln 3.5 = 0.1465f(4 - 2h) = f(3) = 3 - 4ln 3 = -0.0188

Hence,f'(4) ≈ [3(0.6137) - 4(0.1465) + (-0.0188)] / (2 × 0.5)≈ 1.8147Actual value:f'(x) = d/dx (x - 4ln x)= 1 - (4/x)So, f'(4) = 1 - (4/4) = 0

Thus, the actual error is given by:|Actual Error| = |f'(4) - f'(4) approx|≈ |0 - 1.8147| = 1.8147

Hence, the actual error is 1.8147. Therefore, the correct option is the last option, 0.00142.

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The function f is increasing on the interval (6, ∞).

The function f will be increasing in the intervals where f'(x) > 0.

To find these intervals, we can examine the sign of each factor of f'(x), which is (x + 1)²(x - 3)⁵(x - 6)⁴.

We can analyze the sign of f(x) by considering the factors individually:

(x+1)²: This factor is always positive since it is the square of a real number.

(x - 3)⁵: This factor is positive when x>3 and negative when x< 3.

(x - 6)⁴: This factor is positive when x>6 and  negative when x< 6.

We need to consider the overlapping regions of positivity for each factor.

When x>6, all three factors are positive, so  f ′ (x) is positive.

When 3<x<6: In this interval, the factor  (x+1)² is positive, but both (x−3)⁵ and (x−6)⁴ are negative.

Thus, f ′ (x) is negative.

When x<−1: In this interval,  (x+1)² is negative, while (x−3)⁵ and (x−6)⁴ are positive.

Hence, f ′ (x) is negative.

Therefore,  the function f(x) is increasing on the interval x>6.

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Answer:

1.

\(C.\\sin(N)=\frac{\sqrt{3} }{2}\)

2.

\(x=82.1\)

3.

x = 18°

Step-by-step explanation:

1. The sine ratio is sin(θ) = opposite/hypotenuse, where θ is the reference angle.  When N is the reference angle, we see that side OP with a measure of 5√3 units is the opposite side and side NP with a measure of 10 units is the hypotenuse.

Thus, we can find plug everything into the sine ratio and simplify:

\(sin(N)=\frac{5\sqrt{3} }{10} \\\\sin(N)=\frac{\sqrt{3} }{2}\)

2. We can use the tangent ratio to solve for x, which is tan (θ) = opposite/adjacent.  If we allow the 75° to be our reference angle, we see that the side measuring x units is the opposite side and the side measuring 22 units is the adjacent side.  Thus, we can plug everything into the ratio and solve for x or the measure of the opposite side:

\(tan(75)=\frac{x}{22}\\ \\22*tan(75)=x\\\\82.10511777=x\\\\82.1=x\)

3. Since we're now solving for an angle, we must using inverse trigonometry.  We can use the inverse of the tangent ratio, whose equation is tan^-1 (opposite/adjacent) = θ.  We see that when the x° is the reference angle, the side measuring 11 units is the opposite and the side measuring 33 units is the adjacent side.  Now we can do the inverse trig to find the measure of x:

\(tan^-^1(\frac{11}{33})=x\\ 18.43494882=x\\18=x\)

The angle measures are given as follows:

Angles 5 and 8 form a linear pair, hence they are supplementary, meaning that the mesure of angle 5 is given as follows:

m < 5 + m < 8 = 180º

m < 5 + 105º = 180º

m < 5 = 75º.

Angles 5 and 11 are alternate exterior angles, hence they are congruent and the measure of angle 11 is given as follows:

m < 11 = 75º.

Angles 1 and 13 are corresponding angles, meaning that they are congruent, hence the measure of angle 13 is given as follows:

m < 13 = 115º.

Angles 13 and 16 form a linear pair, hence they are supplementary, meaning that the mesure of angle 16 is given as follows:

m < 13 + m < 16 = 180º

m < 16 = 180º - 115º

m < 16 = 65º.

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The percentage of the total hours did Andrea work is,

⇒ 27.1%

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

Total number of hours to work is,

⇒ 5.8 + 8.1 + 7.3 + 8.7 hours

⇒ 29.9 hours

Here, Andre work 8.1 hours.

Hence, The percentage of the total hours did Andrea work is,

⇒ 8.1 / 29.9 × 100

⇒ 27.1%

Thus, The percentage of the total hours did Andrea work is,

⇒ 27.1%

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The solution x1(t) for the de-coupled RL-RC circuit can be found by solving the differential equation x1'(t) = A11 * x1(t), where A11 is a constant value.

To solve this differential equation, we can use separation of variables.

1. Begin by separating the variables by moving all terms involving x1(t) to one side of the equation and all terms involving t to the other side. This gives us:

x1'(t) / x1(t) = A11

2. Integrate both sides of the equation with respect to t:

∫ (x1'(t) / x1(t)) dt = ∫ A11 dt

3. On the left side, we have the integral of the derivative of x1(t) with respect to t, which is ln|x1(t)|. On the right side, we have A11 * t + C, where C is the constant of integration.

So the equation becomes:

ln|x1(t)| = A11 * t + C

4. To solve for x1(t), we can exponentiate both sides of the equation:

|x1(t)| = exp(A11 * t + C)

5. Taking the absolute value of x1(t) allows for both positive and negative solutions. To remove the absolute value, we consider two cases:

  - If x1(0) > 0, then x1(t) = exp(A11 * t + C)
  - If x1(0) < 0, then x1(t) = -exp(A11 * t + C)

  Here, x1(0) is denoted as x10.

Therefore, the solution x1(t) for the de-coupled RL-RC circuit, starting at t=0, is given by either x1(t) = exp(A11 * t + C) or x1(t) = -exp(A11 * t + C), depending on the initial condition x10.

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First Term = a = -70

Last Term = 60

To get n, we substitute the values of the other variables to get n.

where Tn = last term = 60

a = -70

d = 1

n = last ordinal = 130

For the answer of factors of expression (12 + 54), in the form of a(b + c), where a is the GCF of 12 and 54 is equals to 6( 2 + 9).

In math, to factor a number means to express it as a product of (other) whole numbers, called its factors. For example, if 7x5 = 35, 7 and 5 are both factors. The divisors that give the remainder to be 0 are the factors of the number. We have an expression of numbers, 12 + 54. We have to write this expression in form of a( b + c), where a is GCF of 12 and 54. Now, we can write the factors of 12 and 54 are 12 = 2×2×3

54 = 2×3 ×3×3

The greatest common factor, GCF of 12 and 54 is 2×3 = 6. So, 12 + 54 = 6× 2 + 6×9

Taking out the common factor 6 from above expression, 6( 2 + 9) which is required form a( b + c). Hence, required expression is 6( 2 + 9).

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If you detect the electron passing through the left slit in a double-slit experiment, the probabilities associated with it will depend on the specific setup and conditions of the experiment.

In a basic double-slit experiment, where a beam of electrons or particles is directed towards two slits, the probability of detecting the particle at a particular location on the screen depends on the interference pattern formed by the interaction of the wave-like nature of the particles. When the electron passes through the left slit, it implies that the particle's wavefunction has "collapsed" or "localized" to a specific position associated with the left slit. In this case, the probability of detecting the electron at a specific location on the screen will be concentrated around the corresponding position associated with the left slit. The probability distribution on the screen will generally show a pattern characterized by a central maximum and alternating regions of constructive and destructive interference, depending on the relative distances between the slits, the screen, and the wavelength of the particle. It's important to note that the specific probabilities associated with detecting the electron at different positions on the screen will vary depending on the details of the experimental setup, such as the dimensions of the slits, the distance between the slits and the screen, and the wavelength of the particles. To determine the exact probabilities, one would need to know the specifics of the experiment and apply the principles of quantum mechanics and wave-particle duality to calculate or measure the probabilities associated with the electron passing through the left slit.

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The standard form for the linear equation is y=6a+38.

An equation can be represented by a linear function. The standard form for the linear equation is: y= ax+b , for example, y=5x+3. Where:

a= the slope.

b= the constant term that represents the y-intercept.

For the given example: a=5 and b=3.

The question gives:

- the value of the slope (a) = 6

- the coordinates of a point = (-3,20)

Thus, you can write from the question information :

y=ax+b

20=6*(-3)+b

20=-18+b

b=20+18=38

Therefore, the standard form for the linear equation is:

y=6a+38

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To find out how long it will take for the two hoses to fill the pool working together, we need to determine their individual rates of filling the pool.

Let's assume the small hose fills the pool at a rate of 1 pool per x minutes, and the larger hose fills the pool at a rate of 1 pool per y minutes.

We can set up the following equation to represent the rates of filling the pool:

1/x + 1/y = 1/t

where t represents the time it takes for the two hoses to fill the pool together.

To simplify the equation, we can find a common denominator:

(y + x) / (xy) = 1/t

Cross-multiplying gives:

xy = t(y + x)

Now, we can solve for t:

t = xy / (y + x)

Using the given information that the small hose fills the pool in x minutes and the larger hose fills the pool in y minutes, we can substitute those values into the equation:

t = (x * y) / (y + x)

This formula gives us the time it takes for the two hoses to fill the pool together.

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The amount will be equal to $1348.07. The correct option is A.

Compound interest is the interest levied on the interest. The formula for the calculation of compound interest is given as:-

\(\rm A = P(1+\dfrac{r}{n})^{nt}\)

Compound Interest Formula:

A = Account Balance

P = Principle/Initial Amount

r = Rate of Interest (decimal)

n = Number of times compounded (per year)

t = Number of Years

Given Information

Account Balance = ?

It is given that the balance after 15 years in a savings account earns 2% interest compounded bi-monthly when the initial deposit is 1000.

This is because we are gaining money, so the multiplier should be greater than 1. We already added 1, which is 100% so you simply add the 0.02 for the extra 2%.

Number of times compounded per year = 6

This is because it is being compounded bi-monthly, or once every 2 months. 12 months divided by 2 months is 6 months, so 6 times a year.

Number of years = 15

Solve by plugging the given values into the formula.

\(\rm A = P(1+\dfrac{r}{n})^{nt}\)

\(\rm A = 1000(1+\dfrac{0.02}{6})^{6 \times 15}\)

A = 1000 x (1.14)

A = $1348.07.

Therefore, the amount will be equal to $1348.07. The correct option is A.

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The statement ''the symbol μ ˆ p represents the proportion of a sample of size n, not the proportion of a sample of size n.'' is false because the symbol "μ ˆ p" does not represent the proportion of a sample of size n.

In statistical notation, the symbol "μ ˆ p" typically represents the sample proportion, which is an estimate of the population proportion. The sample proportion is obtained by dividing the number of occurrences of a specific event in the sample by the sample size.

On the other hand, the population proportion, denoted by "p," represents the proportion of the entire population that exhibits a certain characteristic or has a specific attribute.

The symbol "μ ˆ p" could be a typographical error or a confusion between different symbols used in statistics. The correct symbol to represent the sample proportion is usually denoted as "p ˆ" or "p-hat." The symbol "μ" typically represents the population mean.

Therefore, it is incorrect to state that "μ ˆ p" represents the proportion of a sample of size n.

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Solving the provided question, we can say that the highest number bouquets she can make without having any flowers left is calculated by Highest Common Factor so, HCF of 56, 48 and 16 is 8

In mathematics, the highest positive integer that divides the corresponding integers is known as the greatest common divisor of two or more non-zero integers. The greatest common factor (HCF) of two or more numbers is the sum of those two or more numbers. As a result, it is frequently referred to as the largest common divisor (GCF). Take the prime factors of the two (or more) integers and determine the shared prime factors to determine the greatest common divisor. Following that, the sum of common prime factors is the greatest common divisor. A specified number divided by the biggest integer results in the greatest common divisor.

the highest number bouquets she can make without having any flowers left is calculated by Highest Common Factor so, HCF of 56, 48 and 16 is 8

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So when they say 110% they mean 100% of the original price plus 10% of the original price. Now all we need to do is find 10% of the price and add it to the current price. 2.85 ÷ 100 = 0.0285 → 0.0285 x 10 = 0.285 → 0.285 + 2.85 = 3.14. The answer is $3.14 rounded to the nearest cent.

Answer:

1

Row 1: 445

Row 2: 541

Row 3: 637

2

349 + 4.80n

3

135

Step-by-step explanation:

1

For this, use the equation I gave you above to find the costs.

2

First, the cost of the printer will NOT change, for the number of printers Eddie needs to buy does not change, he only needs one. This already helps you figure out that 349 is not a coefficient to the variable, n. However, when it comes to the number of blank shirts Eddie needs to buy, the number of he gets does change, this is the dependent variable that makes the cost vary. Using the equation above, you can plug in any number.

For example, 20.

349 + 4.80(20) = 445

3

For this final part, I just kept using the equation until I got the closest number that is lower than 1000. In this case, 135 got me 997, and 136 was just a few decimals away from 1000, but it was still over.

Answer:

i donno

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

10-3 =7

-10 + 3 = - 7

That is why this is correct

Answer:

false

Step-by-step explanation:

(-10)+3=10-3

-7 = 7

= -7≠ 7

Answer:

change

Step-by-step explanation:

Because there are 4 types of transformations and they all end up changing the shape in some type of way on the coordinate plane. Therefore the answer is change.

Answer:

3.555555555555556

Step-by-step explanation:

Decimal: 3.555555555555556

Fraction: 32/9

Answer:

Solving the Equations of General Relativity for Colliding Black Holes

TOPICS:AstronomyAstrophysicsBlack HoleGeneral RelativityPopularTexas Advanced Computing CenterUniversity Of Texas At Austin

By UNIVERSITY OF TEXAS AT AUSTIN NOVEMBER 8, 2020

Answer:

Shouldn't it be (4,0) and (0,6)?

Step-by-step explanation:

Option A. AA Similarity Postulate. The AA Similarity Postulate is a geometric principle that states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

This means that their corresponding sides are in proportion, and the triangles have the same shape, but not necessarily the same size. This postulate is one of the ways to prove the similarity of two triangles. In the case of the given question, if we know that two angles of one triangle are congruent to the two angles of another triangle, then we can use the AA Similarity Postulate to prove that the triangles are similar. This principle is widely used in geometry and helps to establish relationships between different shapes and figures.

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The standard deviation measures the spread of data points around the mean. It considers all data points, not just the farthest or nearest ones. A higher standard deviation indicates a greater spread.

The standard deviation is a statistical measure that tells us how much the data points in a set vary from the mean. It provides information about the spread or dispersion of the data. To calculate the standard deviation, we take the square root of the variance, which is the average of the squared differences between each data point and the mean.

By considering all data points, the standard deviation provides a comprehensive measure of how spread out the data is. Therefore, the statement "The difference between the mean and the data point farthest from the mean" is incorrect, as the standard deviation does not focus on just one data point.

The statement "The difference between the mean and the data point nearest to the mean" is also incorrect because the standard deviation takes into account the entire data set. The statement "The difference between the mean and the median" is incorrect as well, as the standard deviation is not specifically related to the median.

Hence, the correct answer is "None of the above."

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