Augustus Galoop (from Willie Wonka & The Chocolate Factory) LOVED
chocolate. He loved it SO MUCH, he decided to create his very own chocolate
milk He made 30 gallons (he REALLY loves chocolatel). The mixture had to be
perfect, so he started with a recipe of 10% chocolate syrup and 90% milk It
was too weak, so he tried 30% chocolate & 70% milk That was even too
chocolaty for him. "Maybe, If I try 15% chocolate syrup & 85% milk, it'll be
perfect??" So he did, but he forgot how many gallons of chocolate syrup & milk he'd
used for the first two attempts. He DID remember the percentages, though. How
many gallons of chocolate syrup & milk did he use for his final mixture?

The mean time it takes for this group of players to complete the puzzle is 16 seconds.

What is the mean of the time?

To find the mean of the times, we need to add up all the times and divide by the total number of times.

The times are: 10, 12, 18, 20, 20

To find the sum, we add these times:

10 + 12 + 18 + 20 + 20 = 80

The total number of times is 5.

Now, we divide the sum by the total number of times:

80 / 5 = 16

Therefore, the mean time it takes for this group of players to complete the puzzle is 16 seconds.

What is puzzle?

A puzzle is a game, toy, or problem that challenges a person's intellectual or physical abilities. Puzzles come in various forms and can be made of different materials, such as cardboard, wood, metal, or plastic. Some common types of puzzles include jigsaw puzzles, crossword puzzles, Sudoku, Rubik's cube, and brain teasers. Puzzles are often used for entertainment, education, or cognitive development, and they can be enjoyed by people of all ages.

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Answer:

redes sociales fff

ffkr

The  reduced exact values for the root of f(x) = x² + 10·x - 5, obtained using the quadratic formula are; x = (-5 + √(30)) and x = (-5 - √(30))

The quadratic formula is a formula that is used to find the roots of a quadratic equation, by plugging in the coefficients of a quadratic equation into the formula.

The roots of the quadratic function, f(x) = x² + 10·x - 5, can be obtained using the quadratic formula as follows;

The quadratic formula, which can be used to find the roots of the quadratic function, f(x) = a·x² + b·x + c is; x = (-b ± √(b² - 4·a·c))/(2·a)

The function f(x) = x² + 10·x - 5, indicates;

a = 1, b = 10, and c = -5, therefore;

x = (-10 ± √(10² - 4 × 1 × (-5)))/(2 × 1) = (-10 ± √(120))/2

(-10 ± √(120))/2 = (-5 × 2 ± 2 × √(30))/2

(-5 × 2 ± 2 × √(30))/2 =  (-5 ± √(30))/2

The roots of the quadratic function are;

x = (-5 + √(30))/2, and x = (-5 - √(30))/2

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Therefore, there are 105 integers that satisfy the given inequalities.

To find the number of integers that satisfy the inequalities 11 < √x < 15, we need to determine the range of integers between which the square root of x falls.

First, we square both sides of the inequalities to eliminate the square root:

\(11^2 < x < 15^2\)

Simplifying:

121 < x < 225

Now, we need to find the number of integers between 121 and 225 (inclusive). To do this, we subtract the lower limit from the upper limit and add 1:

225 - 121 + 1 = 105

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Step-by-step explanation:

X + y = 10

X - y = 4

Rearrange

X= y + 4

Substitute

( y + 4) + y = 10

2y +4 = 10

2y = 6

Y = 3

If Y= 3,

x = (3) +4

X = 7

Answer:

200 billion to 700 quintillion planets

Step-by-step explanation:

I hope this helps :)

Answer:

Step-by-step explanation:

45=3×3×5

60=2×2×3×5

L.C.M=180

2| 180

2|90

3|45

3|15

3|5

180=2×2×3×3×5

third number=2×3=6

or 2×2×3=12

or2×3×3=18

or 2×2×3×3=36

so third number can be one of  6,12,18,36

Answer:

Hello. How's your day been so far?

Step-by-step explanation:

Answer:

Ya

Step-by-step explanation:

The mean of the scores is 8.5. Option B

You should recall that mean simply means average.  Mean in this case is the sum of the product of scores and their frequency divided by the sum of the frequency.

The table below helps to understand the mean very well

Column 1             frequencies              

 x                                  f                       fx

5                                    1                       5

6                                    2                       12

7                                    5                       35

8                                    5                      40

9                                    7                       63

10                                 10                       100

                            ∑f=30                 ∑fx= 255

Mean is calculated by the formula

Therefore the Mean = ∑fx/∑f   = 255/30 Mean = 8.5

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Correct question

A 2-column table with 6 rows. Column 1 is labeled score with entries 5, 6, 7, 8, 9, 10. Column 2 is labeled Frequency with entries 1, 2, 5, 5, 7, 10.

What was the mean score on the quiz?

7.5

8.5

9

10

Answer:

Heyyy

Step-by-step explanation:

An easement enabling its holder to prevent the possessor of the land subject to the easement from doing certain acts or exercising certain rights of ownership is known as a negative easement.

A negative easement grants the holder the right to restrict or prohibit specific activities on the land, even though the possessor of the land would otherwise have the legal right to engage in those activities. It imposes limitations on the use or enjoyment of the land by the possessor.

For example, a negative easement may prohibit the landowner from building any structures that would obstruct the view of the neighboring property or from engaging in any activities that would cause excessive noise or pollution. The holder of the negative easement, such as a neighboring property owner or a conservation organization, can enforce these restrictions to protect their interests or preserve certain conditions.

Negative easements are typically established through legal agreements or by court decisions. They serve to balance the rights of the landowner with the interests of the easement holder, allowing for the protection of specific rights or conditions associated with the land.

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The markdown dollars on each handbag sold would be $76.80.

To calculate the markdown dollars on each handbag sold, we need to find 40% of the initial retail price.

Step 1: Calculate the discount amount:

Discount = 40% of $128.00

Discount = 0.40 * $128.00

        = $51.20

Step 2: Subtract the discount amount from the initial retail price:

Markdown dollars = $128.00 - $51.20

               = $76.80

Therefore, the markdown dollars on each handbag sold would be $76.80.

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The student that has   the highest probability to find that the actual number of times his or her coin lands heads up most closely matches the predicted numberof heads-up landings is Collin.

Let's calculate the expected number of heads-up landings for each student  -

Ana = 0.5 * 50 = 25

Brady  = 0.5 * 10 = 5

Collin = 0.5 * 80 = 40

Deshawn  = 0.5 * 20 = 10

From the above we can   see that Collin (80 flips) is most likely to find that the actual number of times his coin lands heads up most closely matchesthe predicted   number of heads-up landings (40).

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Four students are determining the probability of flipping a coin and it landing head's up. Each flips a coin the number of times shown in the table below.

Student

Number of Flips

Ana

50

Brady

10

Collin

80

Deshawn

20

Which student is most likely to find that the actual number of times his or her coin lands heads up most closely matches the predicted number of heads-up landings?

Answer:

umef leaf ninja the frog held a

The  answer as a polynomial in standard form is 50x² - 45x +66.

A polynomial is an expression in mathematics that solely uses the operations of addition, subtraction, multiplication, and powers of positive-integer variables. It consists of indeterminates and coefficients. The polynomial x2 4x + 7 is an illustration of a single indeterminate x polynomial. Sums of terms with the pattern k x n—where k is any positive integer and n is an arbitrary number—are known as polynomials. A polynomial is something like 3x+2x-5. Polynomials: An introduction In this video, basic terms such terms, degrees, standard form, monomial, binomial, and trinomial are covered. Using mathematical operations like addition, subtraction, multiplication, and division, a polynomial is an equation made up of variables, constants, and exponents (No division operation by a variable).

g(x) = 5x - 6

So,

f(x) = 2(5x - 6)² +  3(5x - 6) + 12

= 2( 25x² + 36 - 60x ) + 15x - 18 + 12

= 50x²  + 66 - 45x

= 50x² - 45x +66

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Answer:

explanation below

Step-by-step explanation:

if sum of any 2 sides length is greater than the third side and not take rotation transformation into account, only 1 triangle can be formed.

Answer:

Step-by-step explanation:

ODYSSEY

The expectation value of the position squared when the particle in the box is in its third excited state is equal to \(\frac{9l^2}{8}\), where l is the length of the box. This is equal to nine-eighths of the length of the box squared.

The expectation value of the position squared when the particle in the box is in its third excited state can be calculated using the formula\(\langle x^2 \rangle = \frac{l^2}{8} \left( 2n^2 + 6n + 3 \right)\),

where n is the quantum number of the state and l is the length of the box. Here, n is 3, so the expectation value is equal to

\(\frac{l^2}{8} \left( 2 \times 3^2 + 6 \times 3 + 3 \right) = \frac{9l^2}{8}\).

This can be written as nine-eighths of the length of the box squared.

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Given that the correlation between two variables is r=0.23. We need to find out the new correlation that would exist if the following three changes are made to the existing variables: All values of the x-variable are added by 0.14. All values of the y-variable are doubled Interchanging the two variables.  the correct option is B. 0.37.

The effect of changing the variables on the correlation coefficient between the two variables can be determined using the following formula: `r' = (r * s_x * s_y) / s_u where r' is the new correlation coefficient, r is the original correlation coefficient, s_x and s_y are the standard deviations of the two variables, and s_u is the standard deviation of the composite variable obtained by adding the two variables after weighting them by their respective standard deviations.

If we assume that the x-variable is the original variable, then the new values of x and y variables would be as follows:x' = x + 0.14 (since all values of the x-variable are added by 0.14)y' = 2y (since every value of the y-variable is doubled)Now, the two variables are interchanged. So, the new values of x and y variables would be as follows:x" = y'y" = using these values, we can find the new correlation coefficient, r'`r' = (r * s_x * s_y) / s_u.

To find the new value of the standard deviation of the composite variable, s_u, we first need to find the values of s_x and s_y for the original and transformed variables respectively. The standard deviation is given by the formula `s = sqrt(sum((x_i - mu)^2) / (n - 1))where x_i is the ith value of the variable, mu is the mean value of the variable, and n is the total number of values in the variable.

For the original variables, we have:r = 0.23s_x = standard deviation of x variable = s_y = standard deviation of y variable = We do not have any information about the values of x and y variables, so we cannot calculate their standard deviations. For the transformed variables, we have:x' = x + 0.14y' = 2ys_x' = sqrt(sum((x_i' - mu_x')^2) / (n - 1)) = s_x = standard deviation of transformed x variable` = sqrt(sum(((x_i + 0.14) - mu_x')^2) / (n - 1)) = s_x'y' = 2ys_y' = sqrt(sum((y_i' - mu_y')^2) / (n - 1)) = 2s_y = standard deviation of transformed y variable` = sqrt(sum((2y_i - mu_y')^2) / (n - 1)) = 2s_yNow, we can substitute all the values in the formula for the new correlation coefficient and simplify:

r' = (r * s_x * s_y) / s_ur' = (0.23 * s_x' * s_y') / sqrt(s_x'^2 + s_y'^2)r' = (0.23 * s_x * 2s_y) / sqrt((s_x^2 + 2 * 0.14 * s_x + 0.14^2) + (4 * s_y^2))r' = (0.46 * s_x * s_y) / sqrt(s_x^2 + 0.0396 + 4 * s_y^2)Now, we can substitute the value of s_x = s_y = in the above formula:r' = (0.46 * * ) / sqrt( + 0.0396 + 4 * )r' = (0.46 * ) / sqrt( + 0.1584 + )r' = (0.46 * ) / sqrt(r' = (0.46 * ) / sqrt(r' = (0.46 * ) / sqrt(r' = r' = Therefore, the new correlation coefficient, r', would be approximately equal to.

Hence, the correct option is B. 0.37.

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Answer:

I think it stays the same.

Step-by-step explanation:

Answer:

lines a and b are parallel because their corresponding angles are congruent.

Step-by-step explanation:

Since there are two angles equal to 110 in the same position, lines a and b are parallel because their corresponding angles are congruent.

Answer:

\(y = \frac{x - 3}{2}\)

Step-by-step explanation:

To find the inverse of a function, simply 'switch' the x and y's and solve for y. \(y = 2x + 3\) becomes \(x = 2y + 3\). Now, solving for y, we get \(y = \frac{x - 3}{2}\).

hope this helped! :)

The correct option is (1) less than 10 times the original distance.The original distance was  30 cm and the new distance is 94.86 cm which is less than 10 times the original.

The force of attraction and repulsion among two charged bodies are directly proportional to a product of their charges but inversely proportional to a square of a distance between them, according to Coulomb's law.

It works along the line that connects the two charges that are called point charges.

The formula for Coulomb's law is-

\(f_{}=\frac{q_{1} q_{2}}{4 \pi \epsilon d_{}^{2}}\)

where, q₁ and q₂ are the charges;

d is the distance between them.

Now, according to the question;

Two charges that were initially separated by a particular distance are pushed closer together until force between the two is reduced by a factor of ten.

Coulomb's law of force

\(f_{1}=\frac{q_{1} q_{2}}{4 \pi \epsilon d_{1}{ }^{2}}\)

d₁ is the initial distance.

So when charges are separated further, a new force is f₂, which is represented as

\(f_{2}=\frac{q_{1} q_{2}}{4 \pi \epsilon d_{2}^{2}}\)

d₂ is the moved distance

As a result, the given force is decreased by ten times its original value.

Thus, \(f_{2}=\frac{f_{1}}{10}\)

use the expression in both forces

\(\begin{gathered} \frac{f_{1}}{10}=\frac{q_{1} q_{2}}{4 \pi \epsilon d_{2}{ }^{2}} \\\frac{q_{1} q_{2}}{4 \times 10 \pi \epsilon d_{1}{ }^{2}}=\frac{q_{1} q_{2}}{4 \pi \epsilon d_{2}{ }^{2}} \\ \frac{1}{10 \times d_{1}{ }^{2}}=\frac{1}{d_{2}{ }^{2}} \\ d_{2}=\sqrt{10} d_{1}\end{gathered}\)

Now, calculate the moved distance d₂,

\(\begin{aligned}& d_{2}=\sqrt{10} d_{1} \\ & d_{2}=\sqrt{10} \times 30 \\& d_{2}=3.162 \times 30 \\ & d_{2}=94.868 \mathrm{~cm}\end{aligned}\)

The new distance is 94.868 cm.

Therefore, the new obtained distance is less than the 10 times the original distance.

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The complete question is-

Two charges originally separated by a certain distance are moved farther apart until the force between them has decreased by a factor of 10.  Is the new distance

(1) less than 10,

(2) equal to 10, or

(3) greater than 10;

times the original distance? If the original distance was 30 cm.

Answer:

x = 18

Step-by-step explanation:

10  − 3x = − 2 (x + 4)

=> 10  − 3x = -2x - 8

=> x = 18

Hoped this helped.

Answer:

x = 18

Step-by-step explanation:

10 - 3x= -2(x+4)

First, we solve inside the parentheses.

10 - 3x= -2x - 8

Like terms:

-3x + 2x= -10 - 8

-x/-1 = -18/-1

x = 18

Answer:

24.88

Step-by-step explanation:

If the scale of the drawing is 1:30, it means that the vehicle drawing is 30 times smaller than the actual vehicle.

With the above information in mind, we can calculate the length of the vehicle in inches:

Finally we convert inches to feet(dividing inches by 12):

Complete question is;

Jon is stuck on the side of a cliff. Jon is at the midpoint from the ground to the top of the cliff. Jon is 40 + 2x feet away from the bottom of the cliff. The cliff is 200 feet tall.

Solve for x.

How far is Jon from the top of the cliff

Answer:

x = 30 ft

Jon is 100 ft from the top of the cliff

Step-by-step explanation:

We are told that Jon is at the mid point of the Cliff.

Since The cliff is 200 feet tall, the Jon is; 200/2 ft = 100 ft from either the top or bottom.

Now, we are told that Jon is 40 + 2x from the bottom of the cliff.

Thus;

40 + 2x = 100

Subtract 40 from both sides;

40 - 40 + 2x = 100 - 40

2x = 60

x = 60/2

x = 30 ft

And Jon is 100 ft from the top of the cliff as earlier seen

The volume of the prism is

The volume of the prism is solved by the formula

= area of triangle * depth

Area of the triangle

= 1/2 base * height

base = p = cos 51.34 * √41 = 4

height = q = sin 51.34 * √41 = 5

= 1/2 * 4 * 5

= 10

volume of the prism

= area of triangle * depth

= 10 * 7

= 70 cm³

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The area of the region enclosed by the curves 10x=2y²+12y+19 and x=-4y-10 is 174/3 units².

To find the area of the region enclosed by the curves 10x=2y²+12y+19 and x=-4y-10, we need to solve this problem in the following way:

Since the curves are already in the form of x = f(y), we need to use vertical strips to find the area.

So, the integral for the area of the region is given by:

A = ∫a b [x₂(y) - x₁(y)] dy

Here, x₂(y) = 10 - 2y² - 12y - 19/5 = - 2y² - 12y + 1/2 and x₁(y) = -4y - 10

So,

A = ∫(-3)⁻²[(-2y² - 12y + 1/2) - (-4y - 10)] dy + ∫(-2)⁻²[(-2y² - 12y + 1/2) - (-4y - 10)] dy

=> A = ∫(-3)⁻²[2y² + 8y - 19/2] dy + ∫(-2)⁻²[2y² + 8y - 19/2] dy

=> A = [(2/3)y³ + 4y² - (19/2)y]₋³ - [(2/3)y³ + 4y² - (19/2)y]₋² | from y = -3 to -2

=> A = [(2/3)(-2)³ + 4(-2)² - (19/2)(-2)] - [(2/3)(-3)³ + 4(-3)² - (19/2)(-3)]

=> A = 174/3

Hence, the area of the region enclosed by the curves is 174/3 units².

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