Twenty pounds of beans are distributed equally into 15 bags to give out at the food bank.

How many pounds of beans are in each bag?

Enter your answer in the simplest form.

The inverse of a biconditional statement is not equivalent to the original statement. The inverse statement may have a different meaning or convey a different condition.

The inverse of a biconditional statement involves negating both the "if" and the "only if" parts of the statement. In this case, the inverse of the biconditional statement would be:Inverse of Statement 1: A figure is not a polygon if and only if not all of its sides are line segments.

Now, let's analyze the relationship between Statement 2 and its inverse.

Statement 2: A figure is not a polygon if and only if not all of its sides are line segments.

Inverse of Statement 2: A figure is not a polygon if and only if all of its sides are line segments.

The inverse of Statement 2 is not equivalent to Statement 1. In fact, the inverse of Statement 2 is a different statement altogether. It states that a figure is not a polygon if and only if all of its sides are line segments. This means that if all of the sides of a figure are line segments, then it is not considered a polygon.

In contrast, Statement 1 states that a figure is a polygon if and only if all of its sides are line segments. It affirms the condition for a figure to be considered a polygon, stating that if all of its sides are line segments, then it is indeed a polygon.

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Answer:

             \(\bold{x_1=1\ ,\quad x_2=-\dfrac83}\)

Step-by-step explanation:

\(3x^2+5x-8=0\quad\implies\quad a=3\,,\ b=5\,,\ c=-8\\\\x=\dfrac{-5\pm\sqrt{5^2-4(3)(-8)}}{2\cdot3}=\dfrac{-5\pm\sqrt{25+96}}{6}=\dfrac{-5\pm\sqrt{121}}{6}\\\\ x_1=\dfrac{-5+11}{6}=1\ ,\qquad x_2=\dfrac{-5-11}{6}=\dfrac{-16}6=-\dfrac83\)

A subset of a population used by statisticians to make predictions about a population is called a sample.

a sample is a smaller, representative group selected from the larger population. The sample is used to gather data and make inferences about the entire population. By analyzing the sample, statisticians can make predictions about the characteristics, trends, or behaviors of the population without having to study every individual within it. This method saves time, resources, and effort while still providing accurate results.

A sample is a crucial tool in statistical analysis, allowing statisticians to make informed predictions about a population based on the study of a smaller, representative subset.

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Select "All". All real numbers have a decimal expansion. All Option are Correct since all are terminating.

A real number is a number that can be represented on the number line as a decimal. This means that it can be expressed as a sequence of digits to an infinite number of decimal places. For example, the number 3.14 is a real number, as it can be represented as 3.14159.

In general, decimal expansions are used to represent numbers that are smaller than 1, and they are useful for many mathematical and scientific applications. However, it is possible for some numbers to have decimal expansions that go on forever, or to have no decimal expansion at all, depending on the specific number and the mathematical properties it possesses.  

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Answer:8

Step-by-step explanation: Mode is the value or values in the data set that occurs most frequently.

The value of x is given as 9.8

We have to solve for X using the Pythagorean theorem

The Pythagorean theorem is a mathematical formula that relates to the sides of a right triangle. It states that the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In other words:

c² = a² + b²

Where:

c is the length of the hypotenuse

a and b are the lengths of the other two sides

14² = x² + 10²

196 = x² + 100

196 - 100 = x²

x = √96

x = 9.8

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Answer:

Aspect ratio calculator to get aspect ratio for your images or videos. ... 4:3. Please enter your desired width for a video or image to get the actual ...

Step-by-step explanation:

To prove that for some n > 0, xi > 0 for all i > n, we can use the fact that (xi) is a sequence that converges to x.

This means that given any ε > 0, there exists an N such that |xi - x| < ε for all i > N.  we can use the fact that (xi) is a sequence that converges to x.

Let's choose ε = x/2. Since x > 0, ε > 0 as well. Then there exists an N such that |xi - x| < ε = x/2 for all i > N. Rearranging this inequality, we get:

x - xi < x/2

xi > x/2

Since xi > x/2 and x > 0, we have shown that for some N > 0, xi > 0 for all i > N.

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The value of IQR is 90 when box plot data where Q₁ = 200, Q₂ = 250, and Q₃ = 290.

Given that,

For box plot data where Q₁ = 200, Q₂ = 250, and Q₃ = 290

We have to find the data of IQR.

We know that,

IQR is define as the variation in the distribution of your data's middle quartile is measured by the interquartile range (IQR). It is the range that corresponds to your sample's middle 50%. Measure the variability where the majority of your numbers are by using the IQR.

IQR Formula is Q₃ - Q₁

So,

Q₃ = 290

Q₁ = 200

Then ,

IQR = Q₃ - Q₁

IQR = 290 - 200

IQR = 90

Therefore, The value of IQR is 90.

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Answer:

Explanation:

Given the circumference of the circle as 66 in, we can use the below formula to find the radius of the circle;

Debido a que los amortiguadores, por ellos mismos, no son suficientes para absorber completamente los golpes provocados por las irregularidades del terreno, las suspensiones incorporan muelles interpuestos entre el eje y el chasis.

Los amortiguadores son elementos clave en los sistemas de suspensión de los vehículos, ya que absorben la energía generada por las irregularidades del terreno y evitan que las vibraciones lleguen al chasis y a la carrocería del vehículo. Sin embargo, los amortiguadores por sí solos no son suficientes para proporcionar una conducción suave y cómoda. Por esta razón, se incorporan muelles entre el eje y el chasis para ayudar a absorber los golpes y las vibraciones adicionales. Los muelles están diseñados para comprimirse y expandirse de manera controlada, lo que reduce la transferencia de energía al chasis del vehículo y mejora la estabilidad y el confort de la conducción.

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Answer:

A

Step-by-step explanation:

Lines are parallel...

\(Hi!\)

\(Let's\) \(set\) \(up\) \(a\) \(proportion\)\(:\)

\(\frac{7.5}{1} =\frac{1}{?}\)

\(7.5(?)=1\\\)

\(? = \frac{1}{7.5}\)

\(Hope\)  \(this\)  \(helps!\) \(:D\)

Step-by-step explanation:

draw a vertical line from p to c. there will be 2 right angled triangles pca and PCB.

take tri pca

angle PAC = 49°

tan 49 = pc/ca

1.15 = 10000/ca

ca = 8695.65

take triangle pcb

angle pbc = 25°

tan 25 = pc/bc

0.46 = 10000/bc

bc = 21445.06

AB = 12749.41ft

Answer:

D. (8,1)

Step-by-step explanation:

hope this helps :)

Answer:statement one and six

Step-by-step explanation:

This depends on the number of paths that exist between point a and point b. If there are more than one path, then the number of paths that avoid the point with the surrounding circle will be one less than the total number of paths.

The number of paths from point a to point b that avoid the point with the surrounding circle will depend on the total number of paths between the two points. If there are multiple paths between the two points, then the number of paths that avoid the point with the circle will be one less than the total number of paths.

For example, if there are three paths between a and b, then two of those paths will avoid the point with the circle.

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Answer:

c) ab/14

Step-by-step explanation:

\(\frac{a}{7} * \frac{b}{2} =\frac{ab}{14}\)

multipling fractions rule is to multiply nominators and denominators separately

Answer:

B  option   13%

Step-by-step explanation:

total monthly  budget=429+924+198+ 858+363+528=3300

car expanse=429

Now divide

car expanse/total budget

          429/3300=0.13

for %age multiply answer with 100

0.13*100=13%

Answer:

b. V = 336 ft³

Step-by-step explanation:

\(V = \frac{1}{2}bhl\\b = 14\\h = 8\\l = 6\\V = \frac{1}{2}(14)(8)(6)\\V = 336 ft^{3}\)

Answer:

D

Step-by-step explanation:

The volume (V) of the prism is calculated as

V = lbh ( l is length, b breadth and h is height )

Here l = 7, b = 2 and h = 4 , thus

V = 7 × 2 × 4 = 56 in² → D

The term "income" refers to the money that an individual earns or receives in exchange for their work or services.

In this case, the panhandler is making $15 to $20 per day on the streets, which can be considered his income. The terms "prestige," "status," and "wealth" are not relevant in this context.
                                             A panhandler who makes $15 to $20 per day on the streets and you want to know whether this is his A) wealth, B) income, C) status, or D) prestige.

The answer is B) income. The money a panhandler makes per day can be considered his daily income.

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The amplitude of the graphs of the sine and cosine functions is the vertical distance between the sinusoidal axis and the maximum or minimum value of the function.

And the period of each is the distance between two peaks of the graph, or the distance it takes for the entire graph to repeat.

The amplitude of each of the graphs of the sine and cosine functions is 1

The period of each of the graphs of the sine and cosine functions is 2π.

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Answer:

Monday:

Cups of Sugar: 3

Tablespoon of Butter: 30

No. of Bananas: 75

Wednesday

Cups of Sugar: 1.12

Tablespoons of Butter: 11.2

No. of Bananas: 28

Answer:

5x+3y-1475=0

Step-by-step explanation:

if this helps please mark brainliest <3

The Average Value of f(x) = (sin x)4^(cos x) for the closed interval 0≤ x≤π/2   is (B) 6/(πln(4))   .

The average value of a function over a closed interval can be found by calculating its definite integral over the interval and dividing by the length of the interval.

The function is : f(x) = (sin x)4^(cos x)  ;

Substituting the values :

we get ;

Average Value is = (1/π/2) × \(\int\limits^\frac{\pi }{2} _0\) (sin x)4^(cos x) dx  .

On Simplifying ,

we get ;

Average Value is = [(-2/π)/ln(4) ] (1 - 4)

⇒ 6/(πln(4))

Therefore ,  the average value of the function over the interval 0≤ x≤π/2 is 6/(πln(4)).

What is the average value of f(x) = (sin x)4^(cos x) for the closed interval 0≤ x≤π/2 ?

(A) 3/ln(4)

(B) 6/(πln(4))

(C) 4/ln(4)

D) 8/(πln(4))

(E) 3π/(2ln(4))

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Answer:

b = 9

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

b² + 12² = 15²

b² + 144 = 225 ( subtract 144 from both sides )

b² = 81 ( take the square root of both sides )

b = \(\sqrt{81}\) = 9

Answer:

(3, -1)

Step-by-step explanation:

The point (3, -1) is the intersection of both the two functions, its also considered the system of equations.

The possible combination for three-course meals to be chosen from given the restriction is equal to 16.

The restriction that can only choose either a dessert or an appetizer,

Have two choices for the first course.

For the second course,

Have 4 choices for the soup.

For the third course,

Have 3 choices for the main course,

And since can only choose one of the remaining two categories (dessert or appetizer),

Have 2 choices for the third course.

Using the multiplication principle of counting,

The total combinations of number of three-course meals possible under these conditions by multiplying the number of choices for each course,

= Number of choices for the first course × Number of choices for the second course × Number of choices for the third course

= 2 × 4 × 2

= 16

Therefore, there are 16 possible combination for three-course meals that can be chosen.

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