a parallelogram has one angle that measures 40 what are the measures of the other three angles in the parallelogram

Yes, the question is biased.

The question is biased because it assumes that the mayor's recommendation is the correct or preferable option, without providing any information about the reasons for the recommendation or the potential benefits or drawbacks of including or excluding funds for the skate park. The question also implies that the respondent should have an opinion on the matter, even if they are not familiar with the specifics of the situation.

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Answer:

After cutting off the section, we are left with 4.9 feet

Step-by-step explanation:

Since the board is 7.5 feet long

After we cut off a section of 2.6 feet, we are left with,

7.5 - 2.6 = 4.9 feet

So,we are left with 4.9 feet

In linear equation, 792, which is the highest possible difference.

What are a definition and an example of a linear equation?

Let m be the digit from 2 to 8.

The larger three digit number will look like 9m1, while the smaller three digit number will look like 1m9.

Assume a three digits number lets say 189.

Then the largest possible three digit number after rearranging above number is 981.

 981 - 189 = 792

Again assume a three digits number lets say 149.

Then the largest possible three digit number after rearranging above number is 941.

 941 - 149 = 792

for m their difference is constant i.e:792, which is the highest possible difference.

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The probability of 0 non conforming units is 0.47.

To find the probability of 0 non conforming units, we can use the fact that the sum of the probabilities of all possible outcomes is equal to 1. Therefore,

P(0 non-conforming units) = 1 - P(1 non-conforming unit) - P(2 non-conforming units)

We are given that P(1 non-conforming unit) = 0.38 and P(2 non-conforming units) = 0.15. Substituting these values into the equation, we get:

P(0 non-conforming units) = 1 - 0.38 - 0.15

P(0 non-conforming units) = 0.47

Therefore, the probability of obtaining 0 non-conforming units is 0.47.

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Answer:

I believe so

Step-by-step explanation:

The solutions are given below.

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

here, we have,

Part A

the dotted line formes the thrid side of the triangle.

part B

The length is the unknon side increases while kepping the known side lenths fixed, measuremnt of anggle Z will increas. So, the tringle will not fir the given conditions anymore.

part c

If the length of he unknown side decrases while keeping h known side lengths fixed,the measure of angle will decrease so he tringle will not fit the given conditions anymore.

part D

You know the given conditions for the triangle are fixed you also know the unknown side length is fixed. What dose the this tell you angles adjacent to the unknown side.

part e

The given condiction are fixed and the unknown side lenghtis fixed, the angles adjacent to the unknown side must much also be fixed.

part f

Given two side lengths and the measurement of the angle between them, only one triangle can be constructed. Part G The length of the unknown side (c) is 9.76 centimeters

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Answer:

0.4545...

Step-by-step explanation:

To convert a fraction to a decimal take the numerator (5) and divide it by the denominator (11):

5 ÷ 11 = 0.454545... the 45 keeps repeating because it's a repeating decimal

The equation will be 6x + 5.76 = 34.14. And each bag of apples costs will be $4.73.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Autumn buys eggs and apples at the store.

Let x be the amount of each bag of apples. Then the equation will be

6x + 5.76 = 34.14

Simplify the equation, then the value of x will be

6x = 28.38

x = $4.73

Thus, each bag of apple costs will be $4.73.

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Answer:

Step-by-step explanation:

An angular resolution of 0.56 arcseconds is required to see the Sun and Jupiter as separate objects. This is an extremely small angle and would necessitate the use of a large telescope.

Angular resolution is defined as the minimum angle between two objects that enables a viewer to see them as distinct objects rather than as a single one. A better angular resolution corresponds to a smaller minimum angle. The angular resolution formula is θ = 1.22 λ / D, where λ is the wavelength of light and D is the diameter of the telescope. Thus, the angular resolution formula can be expressed as the smallest angle between two objects that allows a viewer to distinguish between them. In arcseconds, the answer should be given to two significant figures.

To see the Sun and Jupiter as distinct points of light, we need to have a good angular resolution. The angular resolution is calculated as follows:

θ = 1.22 λ / D, where θ is the angular resolution, λ is the wavelength of the light, and D is the diameter of the telescope.

Using this formula, we can find the minimum angular resolution required to see the Sun and Jupiter as separate objects. The Sun and Jupiter are at an average distance of 5.2 astronomical units (AU) from each other. An AU is the distance from the Earth to the Sun, which is about 150 million kilometers. This means that the distance between Jupiter and the Sun is 780 million kilometers.

To determine the angular resolution, we need to know the wavelength of the light and the diameter of the telescope. Let's use visible light (λ = 550 nm) and assume that we are using a telescope with a diameter of 2.5 meters.

θ = 1.22 λ / D = 1.22 × 550 × 10^-9 / 2.5 = 2.7 × 10^-6 rad

To convert radians to arcseconds, multiply by 206,265.θ = 2.7 × 10^-6 × 206,265 = 0.56 arcseconds

The angular resolution required to see the Sun and Jupiter as distinct points of light is 0.56 arcseconds.

This is very small and would require a large telescope to achieve.

In conclusion, we require an angular resolution of 0.56 arcseconds to see the Sun and Jupiter as separate objects. This is an extremely small angle and would necessitate the use of a large telescope.

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a) The probability of a very good poker player earning a profit (more than $0) after playing 40 hands in $100/$200 Texas Hold'em can be calculated using the normal distribution and the given mean ($1) and standard deviation ($31). b) The proportion of the time a very good poker player can expect to earn at least $500 after playing 100 hands in $100/$200 Texas Hold'em can be calculated using the normal distribution and the given mean ($1) and standard deviation ($31).

To compute these probabilities, we need to make some assumptions and use probability distribution calculations based on the given information.

a) To determine the probability of a profit after playing 40 hands, we can use the concept of the normal distribution. We need to calculate the z-score using the formula: z = (x - μ) / σ, where x is the desired profit, μ is the expected profit per hand, and σ is the standard deviation. In this case, x = $0, μ = $1, and σ = $31.

Once we have the z-score, we can use a standard normal distribution table or calculator to find the corresponding probability.

b) Similarly, to find the proportion of the time a player can expect to earn at least $500 after playing 100 hands, we need to calculate the z-score for x = $500, using the same formula as in part (a). Then, we can use the standard normal distribution table or calculator to find the corresponding proportion.

c) To determine the probability of earning a profit during a 14-hour session, we need to calculate the number of hands played, which is 20 hands per hour multiplied by 14 hours. Let's denote it as N. Then, we can calculate the mean profit for the 14-hour session by multiplying the expected profit per hand ($1) by N.

The standard deviation for the session can be calculated by multiplying the standard deviation per hand ($31) by the square root of N. Finally, we can use the normal distribution and the same z-score calculation as in part (a) to find the probability.

Please note that the above calculations assume that the profits from each hand are independent and follow a normal distribution. Real poker outcomes may deviate from these assumptions.

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The questions that could be used to challenge each claim goes as follows.

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If A is a nonzero 5x3 matrix, the maximum possible value of rank(A) would be 3.

The rank of a matrix is the maximum number of linearly independent rows/columns of that matrix. Therefore, as A is a 5 x 3 matrix, the maximum number of linearly independent rows that A could have is 3. Hence, the maximum possible value of rank(A) is 3.

The rank of a matrix can be found by row-reducing the matrix to its echelon form or its reduced row echelon form. After that, the rank is given by the number of nonzero rows in the reduced matrix.

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Answer:

i think they are unlike terms

Step-by-step explanation:

Answer:What is the total displacement of the object?

562.5 m

Step-by-step explanation:

ed. 2021

Answer:

The sum of the squares of the two sides equals the square of the hypotenuse (a² + b² = c²).

Let's say you have a triangle with a 90º angle (also known as a right angle). The two equal legs are a and b while the hypotenuse is the longer side. Hypotenuse is and always will be c.

Here's a problem:

c ⊿ a (12)

  b (6)

C is missing, we have to find C, so here's what we do:

Step 1: You square all the numbers in the equation

12² + 6² = c²

↓

144 + 36 = c

Step 2: You add 144 + 36 and you get 180

Step 3: Then you find the square root >>  \(\sqrt{180\\\) and you get ≈13.4

Now sometimes, the a or b would be missing, for example:

c (13)⊿ a

     b (5)

A is missing (when a or b is missing, use the following formula, do not use the same formula when c is missing)

Step 1: You square all the numbers in the equation

a² + 5² = 13²

a + 25 = 169

For this next part, you must subtract a or b (in this case, b) on both sides, for example:

25 – 25 = 169 - 25

25 – 25 cancels itself out so now we subtract 169 by 25 and we get 144.

Then we find the square root of 144 and we get 12

I hope this helps :)

There are 210 distinct sets of inputs for the given logical circuit where the sum of the Boolean random variables equals 4.

Since x1, x2, ..., x10 are distinct Boolean random variables, they can only take the values 0 or 1. In order to satisfy the given condition, we need to find the number of distinct sets of inputs such that exactly four of the variables are 1 and the rest are 0.

This can be viewed as selecting 4 variables out of 10 to be equal to 1. The number of distinct sets can be determined by calculating the combinations: C(10,4) = 10! / (4! * 6!) = 210. Therefore, there are 210 distinct sets of inputs that satisfy the given condition.

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Answer:

28+X=52

Step-by-step explanation:

Answer:

52 - 28 = 24

Step-by-step explanation:

You and your friend have $52 and your friend has $28 of that $58. You have subtracted the total amount from the amount your friend has. That will find your answer.

52 - 28 = 24

You have $24.

Answer:

-3/5-13i/10

Step-by-step explanation:

The function's one sided limit is \(+\infty\).

Given function,

\(\lim_{x \to 2^-} \frac{x-3}{x-2}\\\\= \frac{2-3}{2-2}\\\\=\frac{-1}{0}\\\\=\infty\)

Thus, it reaches infinity then the limit does not exist.

From the given function, it is observed  x belongs to \(2^-\) it means it's graph will start from left.

To determine it's one sided limit, substitute a smaller number which is very close to 2 i.e.1.9999

It's one sided limit will be

\(\lim_{x \to 2^-} \frac{x-3}{x-2}\\\\=lim_{x \to 2^-}(x-3)*lim_{x \to 2^-}(\frac{1}{x-2})\\\\=(1.9999-3)*(\frac{1}{1.99999-2})\\\\=-1.0001*(\frac{1}{-0.0001})\\\\\)

When denominator is a very small number in a fraction then the fraction equals to infinity.

\(=-1.0001*-\infty\\=+\infty\)

Hence, the function's one sided limit reaches to positive infinity.

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The dimensions of the enclosure that is most economical to construct are 10 feet by 31 feet.

To find the most economical dimensions, we need to minimize the cost of the fence. Let the length of the rectangle be L and the width be W. We know that the area of the rectangle is 310 square feet, so L * W = 310.

We also know that the cost of the fence is given by:

Cost = 5L + 5W + 15L

= 20L + 5W

= 20L + 5(310/L)

We can now differentiate this expression with respect to L to find the value of L that minimizes the cost:

\(d(Cost)/dL = 20 - 1550/L^2\)

Setting this to zero, we get:

\(20 - 1550/L^2 = 0\)

\(L^2 = 77.5\)

\(L = \sqrt{77.5} = 8.8\) (rounded to one decimal place)

Substituting this value of L into L * W = 310, we get:

W = 310/L = 35.2/4 = 8.8 * 3.99 (rounded to two decimal places)

Therefore, the dimensions of the enclosure that is most economical to construct are 10 feet by 31 feet.

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Answer:

0.85x + 1.29y < 5

Step-by-step explanation:

0.85x of potatoes

1.29 y of grapes

0.85x+1.29y<5 is required equation

Inequality represents purchase of x pounds of potatoes for \($0.85\) per pound and y pounds of grapes for \(\$1.29\) per pound with  total cost was less than \(\$5\) is equal to \(0.85x + 1.29y < 5.\)

" Linear inequality is defined as the relation between variables with highest exponent one is related with sign of inequality >, < , ≤, ≥."

According to the question,

'x' pounds represents the weight of potatoes

'y' pounds  represents the weight of grapes

Cost of potatoes per pound = \(\$0.85\)

Cost of grapes per pound = \(\$1.29\)

Total cost used to purchase the items = \(\$5\)

Substitute the values to represents the relation of linear inequality,

\(0.85x + 1.29y < 5\)

Hence, linear inequality represents Dan purchase is \(0.85x + 1.29y < 5.\)

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Answer:

See explanation

Step-by-step explanation:

f(x)=|x|

f(x) ==> f(x+3): translation of function 3 units to the left, f(x-3) would be translation 3 units right

f(x+3) ==> 3f(x+3): vertical stretch by a factor of 3

f(x+3) ==> -3f(x+3): Reflection over the x-axis, since y value changes over the x-axis while x value changes over the y-axis

-3f(x+3) ==> h(x)=-3f(x+3)+1: Translation one unit up.

Answer:

x = -1/5

Step-by-step explanation:

-8x + 3x = -5x

17 - 16 = 1

-5x = 1

-5x/-5 = 1/-5

x = -1/5

The value of x is, x = -36.

What is solving an equation?

To separate the variables in an equation and solve it, we must use arithmetic operations, such as: On both sides, add the same amount. the same number is subtracted from both sides. dividing by a number that is the same on both sides.

Consider, the given equation,

\(\frac{1}{3}(\frac{1}{2}x-9)=\frac{1}{2}(x+18)\)
Simplifying,

\(\frac{1}{6}x-3=\frac{1}{2} x+9\)
Subtract 1/2x on both sides,

\(\frac{1}{6}x-3-\frac{1}{2}x =\frac{1}{2}x+9-\frac{1}{2}x\\ -\frac{4}{12}x-3=9\\ -\frac{1}{3}x-3=9\)
Adding 3 on both sides,

\(-\frac{1}{3}x-3+3=9+3\\ -\frac{1}{3}x=12\)
Multiply both sides by 3

-x = 36
Multiply both sides by -1.

⇒ x = -36

Hence, the value of x is x = -36.

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The probability that the next outcome of the experiment will be state 2, given that state 1 has occurred, depends on the specific context and information about the experiment. Without any further details or background, it is not possible to provide a specific probability value.

To calculate the probability, we need additional information such as the nature of the experiment, the sample space, and any relevant probabilities associated with different outcomes. Once we have this information, we can apply probability theory to determine the probability of transitioning from state 1 to state 2.

For example, if we assume a discrete experiment with a finite sample space, we can calculate the probability by dividing the number of favorable outcomes (transitioning to state 2) by the total number of possible outcomes.

Without specific information about the experiment and its underlying probabilities, it is not possible to determine the exact probability of transitioning from state 1 to state 2. Further details and context are necessary to perform a meaningful calculation.

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Answer:

-3/8

Step-by-step explanation:

To solve the equation 2x/₃ = 80 by taking the logarithm base 2 of each side:

x = log2(80) * 3 / 2

To solve the equation 2x/₃ = 80, we can use logarithms to isolate the variable x. By taking the logarithm base 2 of each side, we can remove the exponent and solve for x.

First, we take the logarithm base 2 of both sides of the equation:

log2(2x/₃) = log2(80)

Next, we can use the logarithmic property log2(a/b) = log2(a) - log2(b) to simplify the left side of the equation:

log2(2x) - log2(₃) = log2(80)

Since log2(2x) simplifies to x, and log2(₃) is a constant, we have:

x - log2(₃) = log2(80)

To solve for x, we isolate it by adding log2(₃) to both sides:

x = log2(80) + log2(₃)

Since log2(₃) is a constant, we can evaluate log2(80) using a calculator to obtain a numerical value. Then we add log2(₃) to that value to find x.

Therefore, the solution to the equation 2x/₃ = 80 by taking the logarithm base 2 of each side is x = log2(80) * 3 / 2.

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