One person takes $3 worth of crayons and another person takes $5 worth of crayons. 20 crayons for $1. How many red crayons were bought?

Answer:

3.5 gallons of punch

Step-by-step explanation:

There are 4 quarts in 1 gallon.

Set up equation to convert 14 quarts to gallons: 14÷4 = 3.5.

Elijah made 3.5 gallons of punch.

The simplified form of the expression (( 1 + 1/3 )² - 2/9) is 14/9.

Given the expression in the question;

( 1 + 1/3 )² - 2/9

Add the two terms inside the parenthesis

( (3+1)/3 )² - 2/9

( 4/3 )² - 2/9

Apply product rule to 4/3

4²/3² - 2/9

Raise 4 and 3 to the power of 2

16/9 - 2/9

Combine the numerators over common denominator

( 16 - 2 ) / 9

14/9

Therefore, the simplified form of the expression (( 1 + 1/3 )² - 2/9) is 14/9.

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Answer:

(a) 1416

(b) 2 × 2 × 2 × 3 × 59

Step-by-step explanation:

The prime numbers between 0 and 10 are 2, 3, 5,7 (1 is not considered prime)
Therefore m = 2357

The square numbers between 0 and 10 are  1, 4, 9 and in descending order 9,4.1so n = 941

m - n = 2357 - 941 = 1416

Unique prime factors of 1416 are 2,3,59

1416 as a product of prime factors = 2 × 2 × 2 × 3 × 59

The value is 7/4 = 1.75

From the question, we have

\(2\frac{1}{2} -\frac{3}{4} \\=\frac{5}{2} -\frac{3}{4} \\=\frac{10-3}{4}\\=\frac{7}{4}=1.75\)

Subtraction:

The act of deleting items from a collection is represented by subtraction. Subtraction is denoted by the minus sign. For instance, supposing there are nine oranges stacked together (as indicated in the above image), four oranges are taken out and put in a basket, leaving nine – four oranges, or five oranges, in the stack. Therefore, 9 minus 4 equals 5, or the difference between 9 and 4. Different kinds of numbers can also use subtraction, which is not just applicable to natural numbers. This means that we can use several sets of objects, such as negative numbers, fractions, rational and irrational numbers, decimals, functions, matrices, and vectors, to explain reducing or eliminating physical and abstract values.

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Recall that to determine if a table represents a probability distribution, the sum of the probabilities must add up to 1, and all the probabilities have to be positive numbers less or equal to 1.

Now, notice that:

From the table, we notice that all the given probabilities are positive numbers between 0 and 1. Therefore, we can conclude that the given table represents a probability distribution.

Yes, it is a probability distribution.

Answer:

68 degrees

Step-by-step explanation:

The straight horizontal line is a straight angle with 180 degrees it is split in a way that you know under the right angle, is another right ange making up part of the 180° line, add 22 and then subtract what you get from 180 to get 68.

A simpler way, add the angles in the X and 22 degree things and there is a right angle, 90 degrees, subtract 22 from 90 and get 68

Two different ways, either will work

Hope this helps!

Angles are complementary

x is 68°

The vertex form is y= 1/4( x + 2)² - 15/2.

There are various ways to represent a parabola's equation, including standard form, vertex form, and intercept form.

A parabola's typical form is as follows:

y = ax² + bx+ c

Here, real numbers (constants) a, b, and c are present, with a≠ 0. A point on the parabola is represented by the variables x and y, respectively.

Given:

4y–4x+26=x²

Now,

4y–4x+26=x²

4y = x²+ 4x - 26

y= 1/4 x² + x - 13/2

Now, h= -b/2a

h= -1/2(1/4)

h= -2

k= 1/4(4) - 2 - 13/2

k= -15/2

So,  vertex form of equation is

y= a(x-h)² + k

y= 1/4( x + 2)² - 15/2

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The statement 'The distribution of the sample​ mean, x overbar, will be normally distributed if the sample is obtained from a population that is normally​ distributed, regardless of the sample size.'  is True

In this question we have been given a statement 'The distribution of the sample​ mean, x overbar, will be normally distributed if the sample is obtained from a population that is normally​ distributed, regardless of the sample size.'

We need to state whether the statement is True or False.

We know that the sampling distribution of the sample mean is the probability distribution of all possible values of the random variable x that are computed from a sample of size n.

Also if a random variable X is normally​ distributed, the distribution of the sample​ mean, x overbarx​, is normally distributed.

Therefore, given statement is True.

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Answer:

Step-by-step explanation:

So eat taco is 2.74 and he bought 9 so now you know the tacos price. It time for the coffees price you are going to divide 22.27 and 4 and youll get your answer

Step-by-step explanation:

Given that,

We are asked to calculate the value of f(7).

Substitute the value of x as 7 in the polynomial to find the value of f(7).

→ f(7) = 10 - 2(7)

→ f(7) = 10 - 14

→ f(7) = -4

Therefore, –4 is the required answer.

The accompanying game is a 2x2 matrix in which two firms, Firm 1 and Firm 2, have to make independent decisions on whether to charge a high or low price.

The accompanying game's payoff matrix is as follows:

Firm One/Firm Two

|High Price| Low Price

|High Price| (10,10)| (-50,50)|Low Price| (50,-50)| (0,0)

|The strategy Firm 1 should choose is a high price.

When Firm 2 charges a high price, choosing a high price would give Firm 1 a payoff of 10. If Firm 2 chooses to charge a low price, selecting a high price would result in a payoff of 50 for Firm 1.

Regardless of whether Firm 2 chooses to charge a high or low price, selecting a high price is the optimal decision. Similarly, Firm 2 should select a high price.

When Firm 1 charges a high price, choosing a high price would give Firm 2 a payoff of 10. If Firm 1 chooses to charge a low price, selecting a high price would result in a payoff of 50 for Firm 2.

Regardless of whether Firm 1 chooses to charge a high or low price, choosing a high price is the optimal decision.

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Both the firms that is firm 1 and firm 2 have to chose high prices .

The accompanying game is a 2x2 matrix in which two firms, Firm 1 and Firm 2, have to make independent decisions on whether to charge a high or low price.

The accompanying game's payoff matrix is as follows:

Firm One/Firm Two

|High Price| Low Price

|High Price| (10,10)| (-50,50)|Low Price| (50,-50)| (0,0)

|The strategy Firm 1 should choose is a high price.

When Firm 2 charges a high price, choosing a high price would give Firm 1 a payoff of 10. If Firm 2 chooses to charge a low price, selecting a high price would result in a payoff of 50 for Firm 1.

Regardless of whether Firm 2 chooses to charge a high or low price, selecting a high price is the optimal decision. Similarly, Firm 2 should select a high price.

When Firm 1 charges a high price, choosing a high price would give Firm 2 a payoff of 10. If Firm 1 chooses to charge a low price, selecting a high price would result in a payoff of 50 for Firm 2.

Regardless of whether Firm 1 chooses to charge a high or low price, choosing a high price is the optimal decision.

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Answer:

question 1 is B

Step-by-step explanation:

The exponential function f(x) = Caᶻ that goes through the points (0,5) and (3, 40) can be determined by finding the value of C.

We can use the given points to form a system of equations. Plugging in the coordinates of the first point (0,5), we get: 5 = Ca⁰. Since any number raised to the power of 0 is 1, this equation simplifies to : 5 = C. Next, we plug in the coordinates of the second point (3, 40): 40 = Ca³. Simplifying this equation, we get: 40 = C * a³. To solve for C, we can divide the second equation by the first equation: 40/5 = (C * a³) / C , 8 = a³. Taking the cube root of both sides, we find that a = 2.Therefore, C = 5.

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The equation of the line in point-slope form is y - 1 = 8(x + 6) and in slope-intercept form is y = 8x + 49.

The point-slope form of the equation of the line passing through a point (-6, 1) with slope of 8 is y - y₁ = m(x - x₁)

where m is the slope and (x₁, y₁) is the point. Let us substitute the known values of slope and point into this formula:

y - y₁ = m(x - x₁)y - 1 = 8(x + 6)

Multiplying out the brackets:

y - 1 = 8x + 48

We can write this equation in slope-intercept form by isolating y:

y = 8x + 49

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Answer:

A' = (4, 3) B' = (7, 9) C' = (10, 5)

Step-by-step explanation:

Basically take the points you are given and add the "new" translation to your new points.

For example, A is (1, 1). So you can use your translation points to get (1+3, 1 + 2), or (4, 3)

The spinner has 3 blue slices and 7 yellow slices for a total of 10 equally spaced slices.

It's required to find the probability that the dial stops on a red slice.

There are no red slices, so it's impossible to get this outcome, thus the probability is 0.

Probability = 0

To investigate whether there is convincing evidence, at a 5 percent level of significance, that a longer hand length is associated with a decrease in the time to complete the 100-meter freestyle, the researcher should use a linear regression t-test.

1. The researcher collects data on hand length and 100-meter freestyle completion time for twenty randomly selected swimmers.
2. Calculate the correlation coefficient (r) to measure the strength and direction of the relationship between hand length and freestyle completion time.
3. Perform a linear regression analysis to obtain the slope (b) and the y-intercept (a) of the best-fit line.
4. Conduct a linear regression t-test to determine if the slope (b) is significantly different from zero at a 5 percent level of significance.
5. If the t-test results in a p-value less than 0.05 (5 percent level of significance), there is convincing evidence that a longer hand length is associated with a decrease in the time to complete the 100-meter freestyle.

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Solution 1: Count, which is crazy long so I am going to solution 2.

Solution 2: Calculate.

I am going to split the right part to the left part result two shapes: 8x5 and 6x15

8x5 + 6x15 = 40 + 90 = 130.

Area = 130 units^2

Perimeter: 8x2 + (6x2-5)+ (15x2-5)        (Subtract 5 because the overlap area)

16 + 7 + 25 = 48

Perimeter = 48 units

Answer:

1³ = 1

2³ = 8

3³ = 27

4³ = 64

5³ = 125

6³ = 216

Step-by-step explanation:

Answer:

The cube of first six natural numbers are

1, 8, 27, 65, 125, 216

Step-by-step explanation:

Natural Numbers are known as 1, 2, 3, 4, ..., ∞

Now,

For Cube of first six natural numbers

1³ = 1

2³ = 8

3³ = 27

4³ = 64

5³ = 125

6³ = 216

Thus, The cube of first six natural numbers are

1, 8, 27, 65, 125, 216

-TheUnknownScientist

Answer:

nope u dont need to buy more

Step-by-step explanation:

u have 1/2 cup after spilling but the recipe only needs 1/3 which is less

Answer:

18 : 30

Step-by-step explanation:

3 + 5 = 8 (Total units)

48 ÷ 8 = 6

3 units = 6 x 3 = 18

5 units = 6 x 5 = 30

So it's 18 : 30

Answer:

In this case, the polar coordinate of P will be (r, θ), where r represents the distance from the origin to P, and θ represents The angle formed between the positive x-axis and the line segment connecting the origin and P.

To find r, we can use the formula r = √(x^2 + y^2), where x is the x-coordinate (3) and y is the y-coordinate (1) of P. Substituting the values, we get r = √(3^2 + 1^2) = √10.

To find θ, we can use the formula θ = arctan(y/x), where arctan represents the inverse tangent function. Substituting the values, we get θ = arctan(1/3) ≈ 18.43 degrees (or approximately 0.322 radians).

Therefore, the polar coordinate of P is approximately (√10, 18.43°) or (√10, 0.322 rad). This means that P is located at a distance of approximately √10 units from the origin and forms an angle of approximately 18.43 degrees (or 0.322 radians) with the positive x-axis.

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A simple linear regression model predicts the response variable using a single predictor variable. In this case, the average relative skill is used to predict the total number of wins in a regular season.

In simple linear regression, the relationship between the predictor variable (average relative skill) and the response variable (total number of wins) is represented by the equation:

Wins = Intercept + Slope * Average Relative Skill

The overall F-test assesses the significance of the linear relationship between the predictor and response variables. The steps of this hypothesis test are as follows:

a. Null Hypothesis (H0): There is no significant linear relationship between average relative skill and the total number of wins in a regular season.

b. Alternative Hypothesis (Ha): There is a significant linear relationship between average relative skill and the total number of wins in a regular season.

c. Level of Significance: The chosen significance level (typically 0.05) determines the threshold for accepting or rejecting the null hypothesis.

d. The F-test statistic evaluates the overall significance of the regression model. It compares the explained variation (due to the model) to the unexplained variation (residuals). The associated p-value determines the statistical significance of the F-test.

By comparing the test statistic to the critical value and considering the p-value, we can make conclusions about the significance of the linear relationship between average relative skill and the total number of wins.

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Answer:

≈ 3.9 miles

Step-by-step explanation:

The third angle in the triangle is

180° - (53 + 78)° = 180° - 131° = 49°

Using the Sine rule in the triangle with distance from 2 being x, then

\(\frac{3}{sin49}\) = \(\frac{x}{sin78}\) ( cross- multiply )

x × sin49° = 3 × sin78° ( divide both sides by sin49° )

x = \(\frac{3sin78}{sin49}\) ≈ 3.9 ( to the nearest tenth )

The rate at which the top of the ladder is slipping down at the instant when the bottom of the ladder is 15 feet from the base of the building is -75/8 feet per second

The length of the ladder = 17

Consider the length of the base as x and the height is h

The rate at which the ladder is sliding = 5 feet per second

dx/dt = 5

Apply the Pythagorean theorem

x^2 + h^2 = 17^2

h^2 = 289 - x^2

h = \(\sqrt{289-x^2}\)

The rate of change of height with respect to x is

dh/dx = - x / (289 - x^2)^(1/2)

dh/dt = dh/dx × dx/dt

Substitute the values in the equation

= - 15 / (289 - 15^2)^(1/2) × 5

= -15/8 × 5

= -75/8 feet per second

Therefore, the rate of change of height when x = 15 is -75/8 feet per second

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The parabola declining from (-2, 5) through (1, -4) and rising through (4, 5) is a function.

The relation with x-values: 2, -2, 6, 2, -6 and y-values: 11, -5, 21, 15, -15 is a function.

The relation with x-values: 4, -4, 7, -7, -4 and y-values: 3, -2, 11, 5, -5 is a function.

The relation between two ellipses with corresponding x and y values is a function.

A relation is considered a function if each input (x-value) has a unique output (y-value). Let's analyze each given relation to determine if they are functions:

A graph plots six points at (-5, 5), (-4, -4), (1, -1), (1, 1), (3, 3), and (5, 4) on the x-y coordinate plane.

This relation is not a function because the input value of 1 has two different corresponding output values: -1 and 1.

A parabola declines from (-2, 5) through (1, -4) and rises through (4, 5) on the x-y coordinate plane.

Since this description does not provide multiple output values for the same input value, this relation is a function.

x: 2, -2, 6, 2, -6

y: 11, -5, 21, 15, -15

This relation is a function because each input value corresponds to a unique output value.

{(-5, -7), (-2, -7), (7, 17), (-5, 21)}

This relation is not a function because the input value of -5 has two different corresponding output values: -7 and 21.

x: 4, -4, 7, -7, -4

y: 3, -2, 11, 5, -5

This relation is a function because each input value corresponds to a unique output value.

Two ellipses labeled x and y. 4 in x corresponds to 21 in y. 6 in x corresponds to -7 in y. 3 in x corresponds to -23 in y. -5 in x corresponds to 12 in y.

Since each input value has a unique corresponding output value, this relation is a function.

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The decay rate, k, is multiplied by the elapsed time, t, and then exponentiated with the base e to determine the fraction of the initial amount remaining in the tumor.

The exponential model representing the amount of Iodine-125 remaining in the tumor after t days can be written as:

A(t) = A₀ * e^(-k * t)

where A(t) is the amount of Iodine-125 remaining at time t, A₀ is the initial amount of Iodine-125 injected into the tumor (0.6 grams in this case), e is the base of the natural logarithm (approximately 2.71828), k is the decay rate per day (1.15% or 0.0115), and t is the number of days elapsed.

The model assumes that the decay of Iodine-125 follows an exponential decay pattern, where the remaining amount decreases over time.

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R is the modulation index of q and p as a result.

For a scientist, a proof serves to persuade or justify that a particular proposition is true, in accordance with Bleiler-Baxter & Pair [22]. Yet it also aids in better understanding the outcome and associated ideas. Because of this, a proof can also serve as an explanation.

Three positive real numbers, p, q, and r, where p is the arithmetic average of r and p and q is the arithmetic average of q and r, shall be called the p-q-r system.

We are aware of what the definition of the mathematical mean between two numbers is:

p = (q + r) / 2

The midpoint of two digits is similarly described as:

q = √pr

That r is indeed the mean of q and p must now be demonstrated. The definition of the harmonized mean of two integers is:

1/r = (1/2) × (1/p + 1/q)

In the equation above, if we substitute the p values and q, we get:

1/r = (1/2) × (1/p + 1/√pr)

By condensing the right side, we obtain:

1/r = (1/2p) × (√pr) + 1)

When we multiply all side by r, we obtain:

1 = (r/2p) × (√pr) + 1) × r

By condensing the right side, we obtain:

1 = (r² + r×√pr) / (2p)

When we multiply both halves by 2p, we obtain:

2p = r² + r×√pr

By condensing the right side, we obtain:

2p = r(r + √pr)

By multiplying both halves by r, we obtain:

2p/r = r + √pr

√pr is subtracted from both sides to yield:

2p/r - √pr = r

When we multiply both halves by r, we obtain:

r(2p - √p × r) = r²

By multiplying both halves by r, we obtain:

1/r = (2p - √pr)/r²

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Answer:

20 kilometers

Step-by-step explanation:

1 trip to school= 8÷2=4 kilometres

Total number of kilometres=8x2+4=16 kilometers

The  representation of the constraint for minimum exposure quality depends on the specific domain or context, and it involves defining the relevant metrics or criteria that need to be met to ensure the desired level of exposure quality.

What is constraint?

A constraint is a limitation or restriction that is imposed on a system, process, or design. It defines boundaries, conditions, or requirements that must be satisfied in order to achieve a desired outcome or meet specific objectives.

For instance, the minimum exposure quality restriction in photography or videography may be represented as a minimally acceptable degree of brightness, contrast, color correctness, or sharpness in the photos or videos. For these particular metrics, the limitation may be represented as numerical values or ranges, such as a minimum acceptable brightness level of X lumens, a minimum acceptable contrast ratio of Y:1, or a minimum acceptable color accuracy delta E value of Z.

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