Aisha has a piece of string that she cuts into smaller pieces. This line plot shows the length of each piece. Juan has a piece of string that is 12 as long as Aisha's seventh-longest piece. (Note: The problem states the seventh-longest piece, not the seventh-longest length.)

How long is Juan's piece of string?

Enter your answer as a mixed number in simplest form

Linear Interpolation Calculator is a free online tool that shows the interpolated point for specific coordinates, also termed as online calculator.

It allows users to interpolate (interpolation is a mathematical technique for estimating any value between two known points) data points between the sets(two sets) of points or coordinates.

Take the two known points and calculate the value of the point that lies between them. This has been used in as many engineering applications as estimating the value of a point on a graph or table. This calculator helps in estimating the value of a point that lies between two known points on a line.

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The slope for the given coordinate points is 1/2.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The formula to find the slope of a line is slope = (y₂-y₁)/(x₂-x₁).

The given coordinates are (3,0) and (-5,-4).

Substitute (x₁, y₁)=(3,0) and (x₂, y₂)=(-5,-4) in slope formula, we get

Slope (m) = (-4-0)/(-5-3)

= -4/(-8)

= 1/2

Therefore, the slope is 1/2.

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Answer:

60

Step-by-step explanation:

ABC is OBC:30

180-90-30=60

Answer:

angle BDC=60°

the Nash equilibrium is not necessarily the best or most desirable outcome for the players involved. It simply represents a stable state where no player has an incentive to unilaterally deviate from their chosen strategy.

To determine the Nash equilibria in a game, we need to analyze the strategies of each player and identify the combinations of strategies where no player has an incentive to unilaterally deviate.

Given the options:

1. (P1=Shot, P2=Shot)

2. (P1=No shot, P2=No shot)

3. (P1=Shot, P2=No shot)

4. (P1=No shot, P2=Shot)

Let's analyze each combination:

1. (P1=Shot, P2=Shot):

If both players choose to shoot, they both face the risk of being shot and getting injured. Neither player has an incentive to deviate from this strategy, as changing to "No shot" would expose them to the risk of being shot without being able to retaliate. Therefore, (P1=Shot, P2=Shot) is a Nash equilibrium.

2. (P1=No shot, P2=No shot):

If both players choose not to shoot, they avoid the risk of being injured. Again, neither player has an incentive to unilaterally deviate from this strategy, as changing to "Shot" would expose them to the risk of being injured without gaining any advantage. Therefore, (P1=No shot, P2=No shot) is a Nash equilibrium.

3. (P1=Shot, P2=No shot):

If Player 1 chooses to shoot while Player 2 chooses not to shoot, Player 1 has an advantage and can potentially eliminate Player 2 without being injured. In this scenario, Player 2 may have an incentive to deviate from "No shot" and switch to "Shot" to protect themselves. Therefore, (P1=Shot, P2=No shot) is not a Nash equilibrium.

4. (P1=No shot, P2=Shot):

Similarly, if Player 1 chooses not to shoot while Player 2 chooses to shoot, Player 2 has an advantage and can potentially eliminate Player 1 without being injured. In this scenario, Player 1 may have an incentive to deviate from "No shot" and switch to "Shot" to protect themselves. Therefore, (P1=No shot, P2=Shot) is not a Nash equilibrium.

Based on the analysis, the Nash equilibria in this game are:

- (P1=Shot, P2=Shot)

- (P1=No shot, P2=No shot)

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Answer:

d = \(\sqrt{146}\)

Step-by-step explanation:

\(d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d= \sqrt{(-5-0)^2+(-9-2)^2}\\d= \sqrt{(-5)^2+(-11)^2}\\d= \sqrt{25+121}\\d= \sqrt{146}\)

Answer:

5 carwashes, Josh: $ 100 savings, Sandra: $100 savings

Step-by-step explanation:

First we need to find each of their formulas.

Formula for Josh: 50+10c=s

Formula for Sandra:25+15c=s

We can set these two to be equal to each other in order to find how many carwashes it takes for them to have the same amount of money.

50+10c=25+15c

25+10c=15c

25=5c

c=5

after 5 car washes, they will have the same amount of money.

now that we know that, we can plug that into each equation to find each of their savings after the 5 carwashes.

Josh's savings:

50+10c=s

plug in the amount of carwashes,

50+10*5=s

50+50=s

s=100 dollars of savings for Josh

Sandra's savings:

25+15c=s

plug in the amount of carwashes,

25+15*5=s

25+75=s

s=100 dollars of savings for Sandra

polynomial function is as follows:

we get: f(x) = -3/4x² + 27/4

Given the information about the graph of a polynomial function is as follows:

y-intercept is (0,9)

The x-intercepts are (-3, 0), (3,0)

Degree is 2

End behavior: as x → -∞, f(x) → -∞, as x → ∞, f(x) → -∞The standard form of a quadratic function is f(x) = ax² + bx + c, where a, b, and c are real numbers and a ≠ 0.

The degree of the function is given to be 2, which means that the leading coefficient is a quadratic polynomial, and it has at least one x-intercept.

The leading coefficient is assumed to be 1 or -1 since it is not given.

Let's determine the quadratic function using the given intercepts:

When x = 0, y = 9. Therefore, the constant term in the quadratic function is c = 9.

The x-intercepts are (-3, 0) and (3, 0).

Thus, (x + 3) and (x - 3) are factors of the quadratic function.

Therefore, the quadratic function is in the form off

(x) = a(x + 3)(x - 3) + 9

We can substitute one of the points to determine the value of the leading coefficient.

Substituting the point (3, 0), we have: 0 = a(3 + 3)(3 - 3) + 9

Simplifying the equation, we get: 0 = 12a + 9a = -3/4

The quadratic function is:

f(x) = -3/4(x + 3)(x - 3) + 9

Multiplying the terms and collecting like terms, we get:

f(x) = -3/4x² + 27/4

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(a) The real zeros of the function f(x) = x³ - x² - x - 2 are approximately x ≈ -1.77, x ≈ 1, and x ≈ 1.77. (b) Using the real zeros, we performed polynomial division and found that the exact values of the imaginary zeros are x = 1 + i and x = 1 - i.

(a) To find the real zeros of the function f(x) = x³ - x² - x - 2, we can use a graphing utility or solve the equation algebraically.

Using a graphing utility, we can plot the function and determine the x-intercepts, which correspond to the real zeros. The graphing utility will give us an approximate value for the zeros.

By analyzing the graph or using the numerical solver in the graphing utility, we find that the real zeros of the function are approximately x ≈ -1.77, x ≈ 1, and x ≈ 1.77.

(b) To find the exact values of the imaginary zeros, we can use the real zeros we found in part (a) and perform polynomial division to factorize the original function.

Dividing the function f(x) = x³ - x² - x - 2 by (x + 1) gives us a quotient of x² - 2x + 2. Since the degree of the quotient is 2, it represents a quadratic equation.

Using the quadratic formula, we can find the roots of the quadratic equation x² - 2x + 2 = 0. Plugging in the values a = 1, b = -2, and c = 2 into the quadratic formula gives us:

x = (-(-2) ± √((-2)² - 4(1)(2))) / (2(1))

Simplifying the expression inside the square root:

x = (2 ± √(4 - 8)) / 2

x = (2 ± √(-4)) / 2

Since the square root of a negative number (√(-4)) is an imaginary number, we have:

x = (2 ± 2i) / 2

Simplifying further:

x = 1 ± i

Therefore, the exact values of the imaginary zeros of the function are x = 1 + i and x = 1 - i.

In summary:

(a) The real zeros of the function f(x) = x³ - x² - x - 2 are approximately x ≈ -1.77, x ≈ 1, and x ≈ 1.77.

(b) Using the real zeros, we performed polynomial division and found that the exact values of the imaginary zeros are x = 1 + i and x = 1 - i.

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1. The height of the cone is equal to

2. You can solve for the slant height, s by applying Pythagorean's theorem.

3. To get from the base of the cone to the top of the hill, an ant has to crawl 29 mm.

In Mathematics and Geometry, the volume of a cone can be calculated by using this formula:

Volume of cone, V = 1/3 × πr²h

Where:

By substituting the given parameters into the formula for the volume of a cone, we have the following;

8792 =  1/3 × 3.14 × 20² × h

26,376 =  3.14 × 400 × h

Height, h = 26,376/1,256

Height, h = 21 mm.

Question 2.

In order to solve for the slant height, s, we would have to apply Pythagorean's theorem since the height of the cone has been calculated above.

Question 3.

By applying Pythagorean's theorem, we have the following:

r² + h² = s²

20² + 21² = s²

400 + 441 = s²

s² = 841

Slant height, s = √841

Slant height, s = 29 mm.

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The total cost (c) to put on the seminar is c = 6,930 + 130x + 575x, where x represents the number of students who enroll in the seminar.

The total cost (c) to put on the seminar can be modeled using the following equation -

c = 6,930 + 130x + 575x

here, x represents the number of students who enroll in the seminar.

The above equation takes into account the fixed costs of the conference room, instructor compensation, lab assistants, and promotion (6,930), as well as the variable costs of renting computers (130x) and the seminar fee charged to each student (575x).

As more students enroll in the seminar, the total cost will increase due to the additional computer rental and seminar fee costs.

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Answer:

Its 3 bro

Step-by-step explanation:

my guy A is just B scaled 3 times, every number on B times 3 equals their counterpart in A

Answer:

- 14

Step-by-step explanation:

4x + 6 = - 62

4x = - 62 + 6

4x = - 56

x = - 56 / 4

x = - 14

The value of x in this equation will be; x = -14

An equation is an expression that shows the relationship between two or more numbers and variables.

We are given that  the equation 4x + 6 = - 62

Here, we need to solve for x

4x + 6 = - 62

4x = - 62 + 6

4x = - 56

x = - 56 / 4

x = - 14

Therefore, the solution will be as;

x = -14,

The value of x in this equation will be; x = 14

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Answer:

John used the metric scale.

Step-by-step explanation:

Answer:

Step-by-step explanation:

20ft=(20)12=240in

4/240=1/60

a) True, b) False, c) False, d) True, e) False, f) False, g) True

a) The statement is true. The symbol "∅" represents the empty set, which does not contain any elements. Since 0 is not an element of the empty set, the statement "0 ∈ ∅" is false.

b) The statement is false. The symbol "{0}" represents a set containing the element 0. The empty set, represented by "∅", does not contain any elements. Therefore, the empty set is not an element of the set {0}.

c) The statement is false. The symbol "{0}" represents a set containing the element 0. However, the empty set, represented by "∅", does not contain any elements. Therefore, the set {0} is not a subset of the empty set.

d) The statement is true. The empty set, represented by "∅", does not contain any elements. Every set is a subset of the empty set, including the set {0}.

e) The statement is false. The symbol "{0}" represents a set containing the element 0. In this case, {0} is not an element of itself. Therefore, the statement "{0}∈{0}" is false.

f) The statement is false. The symbol "{0}" represents a set containing the element 0. In this case, {0} is not a proper subset of itself. Therefore, the statement "{0}⊂{0}" is false.

g) The statement is true. The symbol "{∅}" represents a set containing the empty set. In this case, {∅} is a subset of itself because it contains the element ∅. Therefore, the statement "{∅} ⊆ {∅}" is true.

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Answer:

On the image

Step-by-step explanation:

...............

Answer:

457 Remainder 4

Step-by-step explanation:

Answer:

|x-7|=3

Step-by-step explanation:

x is 3 units away from 7

x-3=7

x-7=3

x+3=7

3=7-x

|x-7|=3

Answer:

VA = 2/3πrB²hB

Step-by-step explanation:

Let the volume of cosA ad cone B be expressed as;

Va = 1/3πra²ha

Vb = 1/3πrb²hb

If the radius of the base of cone A is twice as large as the radius of the base of cone B

rA = 2rB

If the height of cone B is twice the height of cone A, then;

hB = 2hA

hA = hB/2

Recall that;

VA = 1/3πrA²hA

VA = 1/3π(2rB)²(hB/2)

VA = 1/3π*4rB²(hB/2)

VA = 2/3πrB²hB

This gives the volume of cone A

Answer: θ≈18,553°

Step-by-step explanation:

\(\displaystyle\\sin\theta=\frac{7\ cm}{22\ cm} \\\\sin\theta=\frac{7}{22}\\\\\theta=arcsin\frac{7}{22} \\\\\theta\approx18.553^0\)

588 because that's the surface area minus the lide

Answer:

segments shown in the coordinate plane are congruent?

A(-2, 3) B(5, 7) C (3, -3) D (-3,-5) E (-3, 10)

00

00

-10 8 6 4 2

2 4 6 8 10

Answer:

polygon do all the number times each outher divided in half then times 6 for the hight and langht

Step-by-step explanation:

Answer:

Choice G

Step-by-step explanation:

Choice F would imply Circle II to I (But we are looking for I to II). Choices H and J implies translation not dilation.

Answer:

D

Step-by-step explanation:

Correlation coefficient is the leading coefficient of the line of best fit. We can estimate the slope by looking at the plots. The plots are moving in a positive slope so we can remove B and C and E.

We're left with slope of 1 and 0.5

We can faintly imagine the line of slope 1. It doesn't really fit. SO it is 0.5

Answer:

D

Step-by-step explanation:

D

8 and 11 are both greater than 7

Answer: 160

Step-by-step explanation:

first workout the multiplication sums [22 x 28 = 616]

[18 x 28 = 505] then add 2 numbers together [616 + 505 = 1120]

then divide the answer by 2 [1160 / 2 = 160

Answer:

11

Step-by-step explanation:

Let's call the white marbles w and the red marbles r. We can write:

w + r = 16 (1)

w = 3r - 4 (2)

3r - 4 + r = 16 (3) (Substitute (2) into (1))

4r = 20 (simplify)

r = 5 (divide by 4) which means w = 16 - 5 = 11

Answer:

Plot a point on (0,1). Then count upwards by 9, and over to the right by 1. Then you're done!

Step-by-step explanation:

Hope this helps! <3