Harriet needs to ship a small vase. The box she will use has a volume of 216 cubic inches. if the side lengths are all the same, what is the length of each side of the box?​

What economists consider a "leading indicator" of the health of the economy is: GDP.

GDP which full meaning is gross domestic product can be defined as the value of goods and service produce within a country at a particular period of time.

Gross domestic product is a leading indicator of an economy wealth based on the fact that it help to measure the  wealth of a nation economy.

Therefore what economists consider a "leading indicator" of the health of the economy is: GDP.

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Answer:

the greatest common factor is 6

The complete question is:

We have 15 voters and four alternatives, and the individual preference lists are as follows:

Voters 1-3: a d b c

Voters 4-5: b d a c

Voters 6-7: c d a b

Voters 8-9: a d c b

Voters 10-11: b d c a

Voters 12-13: c d b a

Voters 14-15: d b a c

1) The plurality voting procedure? - Voters 1-3: a d b c

2) The Condorcet procedure? - Voters 8-9: a d c b

3) The Hare (instant runoff) system? - Voters 4-5: b d a c

4) The Borda count procedure? - Voters 8-9: a d c b

5) Sequential pairwise voting with agenda bdac? - Voters 8-9: a d c b

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Answer:

3/10 liters more

Step-by-step explanation:

8/10 - 5/10 = 3/10

Answer:

x=79

Step-by-step explanation:

22+2x=180

2x=180-22

2x=158

x=79

Answer:

79

Step-by-step explanation:

The two lines on the side of the triangles indicates that the opposite angles are equal to each other.

180-22=158

158/2=79 so f = 79

Answer:

(x-1)(x-1)

Step-by-step explanation:

Answer:

A. x¹/²

B. x¹/³

C. x¹/⁷

D. x⁵/²

E. x¹¹/³

F. 1 / x¹/⁴

G. 1 / x²/³

H. 1 / x⁹/²

Step-by-step explanation:

A. √x

Recall

√M = M¹/²

Therefore,

√x = x¹/²

B. ³√x

Recall

ⁿ√M = M¹/ⁿ

Therefore,

³√x = x¹/³

C. ⁷√x

Recall

ⁿ√M = M¹/ⁿ

Therefore,

⁷√x = x¹/⁷

D. √x⁵

Recall

√Mⁿ = Mⁿ/²

Therefore,

√x⁵ = x⁵/²

E. ³√x¹¹

Recall

ⁿ√Mᵃ = Mᵃ/ⁿ

Therefore,

³√x¹¹ = x¹¹/³

F. 1 / ⁴√x

Recall

ⁿ√M = M¹/ⁿ

Therefore,

1 / ⁴√x = 1 / x¹/⁴

G. 1 / ³√x²

Recall

ⁿ√Mᵃ = Mᵃ/ⁿ

Therefore,

1 / ³√x² = 1 / x²/³

H. 1 / √x⁹

Recall

√Mⁿ = Mⁿ/²

Therefore,

1 / √x⁹ = 1 / x⁹/²

Triangle in (22) have value of side z = 4, and angles x = 53°, y = 37°. The triangle in (23) have the value of it sides x = 35, z = 83, and an angle y = 65°. Using trigonometric ratios to the nearest whole numbers.

The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.

The basic trigonometric ratios includes;

sine, cosine and tangent.

(22). by Pythagoras rule;

z = √(5² - 3²) = 4

sin x = 4/5

x = sin⁻¹(4/5) {cross multiplication}

x = 53.1301

y = 180 - (53 + 90) {sum of interior angles of a triangle}

y = 37°

(23). cos 25 = 75/z {adjacent/hypotenuse}

z = 75/cos 25 {cross multiplication}

z = 82.7533

sin 25 = x/82.7533

x = 82.7533 × sin 25 {cross multiplication}

x = 34.9731

y = 180 - (25 + 90)

y = 65°

Therefore, the triangle in (22) have value of side z = 4, and angles x = 53°, y = 37°. The triangle in (23) have the value of it sides x = 35, z = 83, and an angle y = 65°. Using trigonometric ratios to the nearest whole numbers.

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Thinking:

Wait so like quadrants as in coordinate planes? If so, all the names of the quadrants are 1,2,3,4.

Answer:

You have to show the table, not enough information is given here

Step-by-step explanation:

The total length of craft wire used by Samantha is 10x + 9

What is the scale factor?

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

Let's call the length of the smaller quadrilateral's 6-centimeter side "x".

Then the length of the corresponding side in the larger quadrilateral would be 6+3=9 centimeters, since the scale factor is 3.

To find the total length of craft wire used, we need to add up the lengths of all the sides in both quadrilaterals.

The smaller quadrilateral has four sides, each with a length of x.

The larger quadrilateral also has four sides, but only one of them has a different length (9 cm), while the other three sides are simply 3 times longer than the corresponding sides in the smaller quadrilateral.

So the total length of craft wire used by Samantha is:

4x + 9 + 3x + 3x + 3x

Simplifying this expression, we get:

10x + 9

Hence,  the total length of craft wire used by Samantha is:

10x + 9

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The eigenvector v corresponding to the eigenvalue λ = 5 is v = [1; 1; 1].

To show that λ = 5 is an eigenvalue of matrix A, we need to find a non-zero vector v such that Av = λv.

Given A = [6 1 -1; 1 4 1; 4 2 3] and λ = 5, we substitute these values into the equation Av = λv:

[6 1 -1; 1 4 1; 4 2 3] * [x; y; z] = 5 * [x; y; z]

This gives us the following system of equations:

6x + y - z = 5x

x + 4y + z = 5y

4x + 2y + 3z = 5z

Simplifying each equation, we have:

x - y + z = 0

x - y + z = 0

x - y + z = 0

Notice that all three equations are the same. This implies that the system has infinitely many solutions, meaning there are infinitely many eigenvectors corresponding to the eigenvalue λ = 5.

We can choose any non-zero vector that satisfies the equation, such as v = [1; 1; 1]. Substituting this vector into the equation Av = λv:

[6 1 -1; 1 4 1; 4 2 3] * [1; 1; 1] = 5 * [1; 1; 1]

[6 + 1 - 1; 1 + 4 + 1; 4 + 2 + 3] = [5; 5; 5]

[6; 6; 9] = [5; 5; 5]

Both sides of the equation are equal, confirming that v = [1; 1; 1] is an eigenvector corresponding to the eigenvalue λ = 5.

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a)The expected profit is $4,000. b)The standard deviation for the profit is approximately $4,898.98.

a) To calculate the expected profit, we multiply the profit by the probability of it happening:

Expected profit = Profit * Probability

Given:

Profit = $10,000

Probability = 40% = 0.4

Expected profit = $10,000 * 0.4 = $4,000

Therefore, the expected profit is $4,000.

b) To find the standard deviation for the profit, we need more information about the probability distribution of the profit. If we assume that the profit follows a Bernoulli distribution (with only two possible outcomes: getting the contract or not), we can calculate the standard deviation using the formula:

Standard deviation = √(Probability * (1 - Probability) * Profit^2)

Given:

Profit = $10,000

Probability = 40% = 0.4

Standard deviation = √\((0.4 * (1 - 0.4) * $10,000^2)\)

                = √(0.4 * 0.6 * $100,000,000)

                = √(24,000,000)

                ≈ $4,898.98

Therefore, the standard deviation for the profit is approximately $4,898.98.

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(d.) Each run of the simulation only provides a sample of the actual system's operation.

This assertion is right, not mistaken. Indeed, each simulation run is a sample of the actual system's operation. A single simulation run cannot account for all possible outcomes and variations in the real system because simulations are based on mathematical models and involve random variations.

In order to take into consideration various scenarios and variations, multiple simulation runs are typically carried out. By running numerous reenactments, specialists can assemble a scope of results and measurable data to acquire a superior comprehension of the framework's way of behaving and go with informed choices.

The analysis and confidence in the simulation study's conclusions increase with the number of simulation runs performed.

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Answer: 150 miles

Step-by-step explanation: the car goes 30 miles every half hours, therefore, in five half hours it goes 150 miles.

Answer:

Step-by-step explanation: It is isosceles because the two tick marks on two of the sides show that they are the same length. A single tick is missing from the bottom so it is a different length. The two triangle are vertical, making them congruent so two of the sides on the big triangle are also the same.  

Answer:

x = 10

Step-by-step explanation:

x + 5 = 15

x = 15 - 5

x = 10

Thus, x = 10

-TheUnknownScientist

Slope is 4/5

and, y - intercept is 1  of the equation is y = 4/5x +1  

Now, According to the question:

What is slope and example?

Whenever the equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation. The m is the slope of the line. And b is the b in the point that is the y-intercept (0, b). For example, for the equation y = 3x – 7, the slope is 3, and the y-intercept is (0, −7).

The equation of any straight line can be written as y=mx+c, where m

is its slope and c is its y−intercept.

The given equation is:

Y = 4/5x +1

Now, By according to the above statement is:

Slope is 4/5

and, y - intercept is 1  

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The arc BX, central angle BCX, and inscribed BNX are connected through different relationships. : Arc BX and central angle BCX:1. Arc BX is the length of the arc that joins B and X points.2. Central angle BCX is an angle with vertex C that has a side BC and the other side goes through the midpoint of the arc BX.

3. The length of the arc BX is directly proportional to the measure of the central angle BCX.4. The measure of the arc BX is equal to the measure of the central angle BCX multiplied by the radius of the circle. Inscribed BNX and central angle BCX:1. The inscribed angle BNX is an angle formed by two chords inside a circle.2. The chord BX is the base for both inscribed angle BNX and central angle BCX. 3. The measure of the inscribed angle BNX is half the measure of the central angle BCX. 4.

The vertex of the inscribed angle BNX lies on the circumference of the circle, while the vertex of the central angle BCX lies at the center of the circle. 5. The inscribed angle BNX and the central angle BCX are always supplementary, meaning that their measures add up to 180 degrees.

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Therefore ,there are 158,184,000 ways to create a license plate in this system.

A selection from a group of separate items is called a combination in mathematics, and the order in which the elements are chosen is irrelevant (unlike permutations). An apple and a pear, an apple and an orange, or a pear and an orange are three combinations of two fruits that can be chosen from a set of three fruits, such as an apple, an orange, and a pear. Formally speaking, a set S's k-combination is a subset of S's k unique components. Two combinations are therefore equal if and only if they have the same elements in both combinations.

According to the counting principle, the total number of ways to obtain a license plate is calculated by multiplying the number of times each of these events might occur together.

The first number (the digits 1 through 9) can be obtained in nine different ways.

There are 26 methods to obtain the first letter. There are 26 ways to obtain the following letter (repetition is acceptable).

There are 26 methods to get the third letter, 10 ways to get the next number (zero is acceptable), and 10 ways to get the following number with repetitions.

How many ways are there to get the next number? 10 ways\s.

Thus ,total options for obtaining a license plate:

9 x 26 x 26 x 26 x 10 x 10=158184000

Therefore ,there are 158,184,000 ways to create a license plate in this system.

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Answer:

168/169

Step-by-step explanation:

169 if you round 168.68 to 169

The required probabilities are \(P(\text{pennies})=\dfrac{13}{28},P(\text{nickels})=\dfrac{27}{140},P(\text{dimes})=\dfrac{3}{14},P(\text{quarters})=\dfrac{9}{70}\).

Given:

Pennies = 65

Nickels = 27

Dimes = 30

Quarters = 18

To find:

The probability of each.

Solution:

The probability formula:

\(\text{Probability}=\dfrac{\text{Favorable outcome}}{\text{Total outcomes}}\)

Total number of coins:

\(65+27+30+18=140\)

The probability of selecting Pennies is:

\(P(\text{pennies})=\dfrac{65}{140}\)

\(P(\text{pennies})=\dfrac{13}{28}\)

The probability of selecting nickels is:

\(P(\text{nickels})=\dfrac{27}{140}\)

The probability of selecting dimes is:

\(P(\text{dimes})=\dfrac{30}{140}\)

\(P(\text{dimes})=\dfrac{3}{14}\)

The probability of selecting quarters is:

\(P(\text{quarters})=\dfrac{18}{140}\)

\(P(\text{quarters})=\dfrac{9}{70}\)

Therefore, the required probabilities are \(P(\text{pennies})=\dfrac{13}{28},P(\text{nickels})=\dfrac{27}{140},P(\text{dimes})=\dfrac{3}{14},P(\text{quarters})=\dfrac{9}{70}\).

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(a) Find the dual of the LP.Primal problem isminimize \($b_1y_1+C_1x_1+...+C_nx_n$\) subject to \($a_{11}x_1+a_{12}x_2+...+a_{1n}x_n \leq\) \(b_1$...$a_{m1}x_1+a_{m2}x_2+...+a_{mn}x_n \leq b_m$ and $x_1, x_2,\)..., x_n\(\geq 0$\)

Let us find the dual of the above primal problem.

Dual problem ismaximize \($b_1y_1+...+b_my_m$\)subject to \($a_{11}y_1+a_{21}y_2+...+a_{m1}y_m \leq\)\(C_1$...$a_{1n}y_1+a_{2n}y_2+...+a_{mn}y_m \leq C_n$\)

and\($y_1, y_2, ..., y_m \geq 0$\)

(b) Find the standard form of the LP and dual.Standard form of the primal problem isminimize \($b_1y_1+C_1x_1+...+C_nx_n$\)subject to \($a_{11}x_1+a_{12}x_2+...+a_{1n}x_n +s_1 = b_1$...$a_{m1}x_1+a_{m2}x_2+...+a_{mn}x_n +s_m = b_m$\) and\($x_1, x_2, ..., x_n, s_1, s_2, ..., s_m \geq 0$\)

Standard form of the dual problem ismaximize \($b_1y_1+...+b_my_m$\)subject to \($a_{11}y_1+a_{21}y_2+...+a_{m1}y_m \leq 0$...$a_{1n}y\)

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The volume of a rectangular prism is 320 m³.

A rectangular prism is a three-dimensional solid shape with six faces that including rectangular bases. A cuboid is also a rectangular prism. The cross-section of a cuboid and a rectangular prism is the same. Volume of a rectangular prism = Area of a base × Height.

1) Given that, base area is 40 m² and height is 8 m.

So, the volume = 40×8

= 320 m³

2) 2) In the basketball game, Scott attempted 14 free throws.

He made half of them = 14/2

= 7

So, he made 7 throws

3) Today's high is 47 degrees Fahrenheit.

The weatherman says it will hit freezing tonight.

So, the temperature is represented as -47 degrees.

4) The given numbers are 5489 and 6752

Now, the sum is 5489 +6752

= 12241

Estimated to the nearest thousand as 12000.

5) Jace had 38 paper airplanes at home.

Christopher gave him 14 more paper airplanes to play with at home. Then Ameera gave him 29 paper airplanes.

So, total airplanes= 38+14+29

= 81

So, Jace had total 81 paper airplanes.

Therefore, the volume of a rectangular prism is 320 m³.

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Answer:

Rotations, reflections, and translations are isometric. That means that these transformations do not change the size of the figure. If the size and shape of the figure is not changed, then the figures are congruent.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Yes, depending on which directions the two shapes point in, rotations or reflections will also map the shapes.

have a nice dayyyyy

The inverse of the function f(x) = (1/2)x is f^(-1)(x) = 2x.

To find the inverse of a function, we need to switch the roles of x and y and solve for y. Let's follow the steps to find the inverse of the function f(x) = (1/2)x:

Step 1: Replace f(x) with y: y = (1/2)x.

Step 2: Swap x and y: x = (1/2)y.

Step 3: Solve for y: Multiply both sides of the equation by 2 to isolate y: 2x = y.

Step 4: Replace y with f^(-1)(x): f^(-1)(x) = 2x.

Therefore, the inverse of the function f(x) = (1/2)x is f^(-1)(x) = 2x.

We can verify this by composing the function and its inverse. If we apply f(x) followed by f^(-1)(x), we should get the original value of x. Let's check:

f(f^(-1)(x)) = f(2x) = (1/2)(2x) = x.

As expected, the composition of the function and its inverse gives us the original value of x, indicating that we have found the correct inverse.

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Answer: 4,5

Step-by-step explanation

Answer:

For 10 plot a point 3 lines back and 5 lines back

For 11 its 2

Step-by-step explanation:

Answer:

2$ or -2$

Step-by-step explanation:

ok amanda owns 5$ and james owes 3$ ok so 5-3 and you got 2 but becuase they owe money it may be negative