In week 2, if 400 drinks are sold, to estimate the number of smoothies write the proportion _______. There would be _______ smoothies

Step-by-step explanation:

I don't know if so what we do this question but I kind of wish I can be with triangle don't ever stop and never ever disturb you

Answer:

2

Step-by-step explanation:

45°-45°-90° triangles are Special Right Triangles. There are some super helpful shortcuts you can learn for a 45°-45°-90° triangle.

The two legs of the triangle are always the same. The longest side, the hypotenuse, is:

hypot = leg•sqrt2

The leg in your problem is sqrt2.

You are asked to find the hypotenuse, k.

hypot = leg•sqrt2

k = leg•sqrt2

k = sqrt2•sqrt2

k = 2

k is 2. Don't be sidetracked by the direction that says "Write your answer in simplest radical form". If there was a radical in your answer, we would simplify it, but there isn't...it's just plain 2.

Since 1 gallon = 4 quarts → (1/2) gallons = 2 quarts

1 gallon = 8 pints → (1/2) gallons = 4 pints

1 gallon = 16 cups → (1/2) gallons = 8 cups

Therefore from the given relation with gallons we can describe the relation between the cups, quarts and pints.

(1/2) Gallon > quarts > pints > cups

If we need 1 cup of milk then a pint container will be the best choice at a grocery store.

Answer: 1  pint would because a quart has 4 cups and 1/2 a gallon would be way to much. and a pint would be 2.

Step-by-step explanation:

1 pint  would be because a quart has 4 cups and 1/2 a gallon would be way to much. and a pint would 1 cup more than you need so 1 pint is right

The statement "Luby's MIS algorithm is likely to finish in O(log n) parallel steps, where n is the number of vertices." is true because a vertex selecting each group is equal.

An independent set in a graph is a set of vertices that do not share any edges.

The algorithm starts by having each vertex randomly assign itself to one of two groups. The processors then communicate with each other to identify vertices that belong to a group with no neighbors in the same group. These vertices are then marked as part of the MIS.

In each round of communication, the number of vertices in the MIS doubles. This means that the algorithm will converge in O(log n) parallel steps, where n is the number of vertices in the graph.

The complexity of the algorithm is therefore very efficient, and it can handle large graphs with many vertices.

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Answer:

24 points

Step-by-step explanation:

Maria scored a total of 6 points, and Suzanne scored 4 times as many.

something times as many, means to multiply, so 6 x 4=24 points total

The answer of the given question based on the function is ,  the turning point of the function f(x+4)+5 is at the point (-4, -5).

In mathematics, a function is a rule that assigns each input value (or argument) in a set to a unique output value in another set. In other words, it is a relationship between two sets of numbers, where each input value produces exactly one output value. Functions are usually represented using function notation, where the name of the function is followed by the input value in parentheses.

To find the turning point of the function f(x+4)+5, we need to first rewrite the function in vertex form, which is given by:

f(x) = a(x-h)² + k

where (h, k) is vertex of parabola.

To do this, we can start by completing the square:

f(x+4) + 5 = a(x+4-h)² + k

f(x+4) = a(x+4-h)² + k - 5

To complete the square, we need to add and subtract (4-h)²/4a inside the parentheses:

f(x+4) = a(x+4-h)² + k - 5 + (4-h)²/4a - (4-h)²/4a

f(x+4) = a(x+4-h)² + (4-h)²/4a + (4a*k-20a)/4a

Now the function is in vertex form:

f(x+4) = a(x+4-h)² + (4-h)²/4a + (4a*k-20a)/4a

The vertex of the parabola is at (h, k), so in this case, the vertex is at (-4, -5).

Therefore, the turning point of the function f(x+4)+5 is at the point (-4, -5).

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For the heights, areas and perimeters of the shapes:

5. The trapezoid can be divided into a rectangle and a right triangle. Let the height of the trapezoid be h.

The area of the trapezoid is A = (1/2)(13.9 + 9.3)h = 11.6h.

We are given that A = 120.8cm², so solve for h:

11.6h = 120.8

h = 10.4 cm

Therefore, the height of the trapezoid is 10.4 cm.

6. Let s be the side length of the equilateral triangle. Then, we have:

s + s + s = 45

3s = 45

s = 15

The perimeter of the equilateral triangle is 45 inches.

The area of an equilateral triangle can be found using the formula:

Area = (√(3)/4)s²

Plugging in s = 15:

Area = (√(3)/4)(15²) = 97.31 in²

Therefore, the area of the equilateral triangle is 97.31 square inches.

7. Let a be the side length of the inscribed square and let A be the area of the inscribed square. Let b be the side length of the circumscribed square.

The area of the outer square is 169in², so b² = 169. Therefore, b = 13.

The diagonal of the inscribed square is equal to the diameter of the circle, which is equal to the side length of the outer square. Therefore, a×√(2) = 13.

Solving for a:

a = 13/√(2) = 9.19

The area of the inscribed square is A = a² = (13/√(2))² = 84.5 in².

The ratio of the area of the inscribed square to the area of the circumscribed square is:

A/(b²) = 84.5/169 = 0.5

Therefore, the area of the inscribed square is half the area of the circumscribed square.

8. Let d₁ and d₂ be the diagonals of the rhombus. Let s be the side length of the rhombus.

We know that d₁ = 6 inches and d₂ = 8 inches. We also know that the diagonals of a rhombus intersect at a right angle and bisect each other. Therefore, we can form a right triangle with legs of length s/2 and s/2 and hypotenuse of length d₁/2.

Using the Pythagorean theorem:

(s/2)² + (s/2)² = (d1/2)²

s²/4 = 9

s = 6

Therefore, the side length of the rhombus is 6 inches.

The perimeter of the rhombus is 4s = 24 inches.

The area of the rhombus can be found using the formula:

Area = (1/2)d₁d₂

Plugging in d₁ = 6 and d₂ = 8:

Area = (1/2)(6)(8) = 24 square inches

Therefore, the perimeter of the rhombus is 24 inches and the area of the rhombus is 24 square inches.

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The expected length of a staff meeting is approximately 12.5 minutes.

what is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.

To calculate the expected length of a staff meeting, we need to find the mean of the probability density function given.

The formula for finding the expected value or mean of a continuous random variable with probability density function f(x) is:

E(X) = ∫ x f(x) dx over the range of the variable

Using this formula, we can find the expected length of a staff meeting as follows:

E(X) = ∫ x f(x) dx over the range of the variable

  = ∫ 0 to 1 x [tex]5(x-0.5)^{5}[/tex] dx  (since the length of a meeting can't be negative)

  = 5 ∫ 0 to 1 x[tex](x-0.5)^{5}[/tex] dx

Now we can use integration by parts or substitution to solve the integral. For simplicity, we can use substitution, with u = x - 0.5 and du = dx:

E(X) = 5 ∫ -0.5 to 0.5[tex]5(x-0.5)(u)^{5}[/tex] du

= 5 ∫ -0.5 to 0.5 [tex](u^6 + 0.5u^5)[/tex] du

= 5 [(1/7)[tex]u^7\\[/tex] + (1/10)[tex]u^6[/tex]] evaluated at -0.5 and 0.5

= 5 [(1/7)[tex](0.5)^7[/tex] + (1/10)[tex](0.5)^6[/tex] - (1/7)[tex](-0.5)^7[/tex] - (1/10)[tex](-0.5)^7[/tex]]

≈ 0.2083 hours or 12.5 minutes

Therefore, the expected length of a staff meeting is approximately 12.5 minutes.

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Yes, it is possible for the range of a data set of positive data values to be less than the mean of that data set.

The range of a data set is the difference between the maximum and minimum values in the data set, while the mean (also known as the average) of a data set is the sum of all the values divided by the total number of values.

For example, consider the following data set of positive values: {2, 3, 5, 7, 9}. The range of this data set is 9 - 2 = 7, while the mean is (2 + 3 + 5 + 7 + 9)/5 = 26/5 = 5.2. In this case, the range (7) is less than the mean (5.2).

This can occur when the data set has a relatively small range, meaning that the difference between the maximum and minimum values is not very large compared to the mean.

the distribution of the data set and the specific values within it can affect the relationship between the range and the mean.

It's important to note that range and mean are just two measures of central tendency and variability, and other measures such as median, mode, and standard deviation can provide additional insights into the characteristics of a data set.

therefore, Yes, it is possible for the range of a data set of positive data values to be less than the mean of that data set.

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The first step is to determine the value for c. We know that the joint probability mass function must sum to 1 over all possible values of X and Y. So, we can write:

∑∑ [tex]f_{xy}[/tex](x,y) = 1

Substituting the given function [tex]f_{xy}[/tex](x,y) = c(x + y) for each combination of x and y, we have:

c(1+1) + c(1+2) + c(1+3) + c(2+1) + c(2+2) + c(2+3) + c(3+1) + c(3+2) + c(3+3) = 1

Simplifying this equation, we get:

12c = 1

Therefore, the value of c is 1/12

Now, we can use this value to calculate the covariance between X and Y. The covariance measures the degree to which two random variables vary together. It is defined as

cov(X,Y) = E[XY] - E[X]E[Y]

where E[XY] is the expected value of the product of X and Y, and E[X] and E[Y] are the expected values of X and Y, respectively.

To calculate E[XY], we use the joint probability mass function:

E[XY] = ∑∑ xy [tex]f_{xy}[/tex](x,y)

Substituting the given function [tex]f_{xy}[/tex](x,y) = c(x + y) for each combination of x and y, we have,

E[XY] = c(1+1) + 2c(1+2+2+3) + 3c(1+3+3+2)

Simplifying this equation, we get,

E[XY] = 28/12

To calculate E[X] and E[Y], we use the marginal probability mass functions:

fx(x) = ∑y [tex]f_{xy}[/tex](x,y)

fy(y) = ∑x [tex]f_{xy}[/tex](x,y)

Substituting the given function [tex]f_{xy}[/tex](x,y) = c(x + y) for each combination of x and y, we have:

fx₁ = 2c

fx₂ = 4c

fx₃ = 6c

fy₁ = 2c

fy₂ = 4c

fy₃= 6c

Using these marginal probability mass functions, we can calculate E[X] and E[Y]:

E[X] = ∑x x fx(x) = 2c + 8c + 18c = 28/12

E[Y] = ∑y y fy(y) = 2c + 8c + 18c = 28/12

Therefore, the covariance between X and Y is:

cov(X,Y) = E[XY] - E[X]E[Y] = 28/12 - (28/12)(28/12) = -4/144

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A result of 2 = 7 - = 7 - (-5) = 12 and = -5 is as follows as after combining similar terms , (2-μ)a + (u+1).

A vector seems to be an object in mathematics that also has scale (or length) and motion. Arrows can be used to graphically depict vectors, with the arrow's trajectory denoting the vector's magnitude and its length denoting its direction. In order to construct a new vector with the a different magnitude but the same direction, vectors can be multiplied by a scalar (a real number) or joined together to make a resultant vector (or the opposite direction if the scalar is negative).

given

First, we can make the given equation simpler:

(2-μ)a + (u+1)

b = 7a - (2+2)b

2a - a + ub + + + b = 7a - 2b - 2b

combining similar terms

(2-μ)a + (u+1)

b = 7a - 4b

We currently have two equations:

2 - μ = 7 (1)

u + 1 = -4 (2) (2)

Equation (2) provides us with:

u = -5

Equation (1) is amended as follows:

2 - μ = 7

μ = -5

A result of 2 = 7 - = 7 - (-5) = 12 and = -5 is as follows as after combining similar terms , (2-μ)a + (u+1).

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The complete question is:-  

The vectors a and b are not parallel and (2-μ)a + (u + 1)b = 7a-(2+2)b where λ and μ are scalars. Find the values of 2 and μ.

angle 1 = 90-( angle 2 ) and angle 2 = 90-( angle 1) ( diagonal property of rectangle)

A diagonal of a rectangle divides it into two congruent right triangles. The diagonals of a rectangle are the same length.

If the diagonal of a rectangle diveds it into two congruent triangles, then triangle OST is congruent to Triangle QRT.

Therefore angle 1 = 90-angl2

represent angle 1 by x and angle 2 by y

therefore x = 90-y

and y = 90-x

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Answer:

Step-by-step explanation:

slope (m) =0

point =(x, y)

         =(3, -4)

equation:

(y-y1) =m(x-x1)

{y-(-4)} =0

y+4 =0

y =-4

Explanation:

as we know, the equation to find the slope of a line is (y-y1) =m(x-x1). here, it is given that the slope of the line (m) is 0 and it passes through points 3 and -4. therefore, we can conclude that equation (y) would be 0 by calculating.

The given information pertains to a sample of einsteinium-253, which naturally loses its mass over time. The initial mass of the sample was 15 grams when it was first measured. The relationship between the elapsed time in weeks, denoted by 't', and the mass of the sample in that week, denoted by 'Mweek(t)', is given by the function.

Mweek(t) = 15 * (0.79)^t.

The daily rate of change in the mass of the sample can be found by taking the derivative of the function with respect to time

Mweek'(t) = 15(0.79)^t ln(0.79)

To find the factor by which the mass decays every day, we can divide the mass at time t by the mass at time t+1.

Mweek(t) / Mweek(t+1) = (15(0.79)^t) / (15(0.79)^(t+1)) = 1/0.79

Therefore, every day, the mass of the sample decays by a factor of approximately 1.26 (rounded to two decimal places).

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The complete sequence are 2, 3, 5, 8, 12, 17, 23, 30 38, 47, 1024, 512, 256, 128, 64 and 32.

Looking at the pattern, we can find the next two numbers in the sequence. All we need to do is notice that each term in the sequence is obtained by dividing the previous term by 2.

To get term after 128, we cam divide 128 by 2 which will give us:

= 128 / 2

= 64

To get term after 64, we divide 64 by 2 which give us:

= 64 / 2

= 32

Therefore, the last two numbers in the sequence are 64 and 32.

Full question: Find the last 2 numbers after the sequence of "2, 3, 5, 8, 12, 17, 23, 30 38, 47, 1024, 512, 256, 128, __ and ___.

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If Corey buys 27 inches of trim for a craft project, Corey bought 3/4 of a yard of trim for the craft project.

To determine what fraction of a yard Regina buys, we need to know how many inches are in a yard. There are 36 inches in a yard.

To convert 27 inches to yards, we need to divide by 36:

27 ÷ 36 = 0.75 yards

So Corey bought 0.75 yards of trim for the craft project.

To find the fraction of a yard, we need to express 0.75 as a fraction with a denominator of 1:

0.75 = 75/100 = 3/4

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Complete question is:

Corey buys 27 inches of trim for a craft project. What fraction of a yard does Regina buy?

As a result, the value of x in the equation is zero. option b is correct no solution.

To find x, we will first simplify both sides of the equation by spreading the coefficients as follows:

5/7 * (x + 2) - 3/7x = 2/7(x + 5)

5/7x + 10/7 - 3/7x = 2/7x + 10/7

Then, on each side of the equation, we'll combine like terms:

(5/7x - 3/7x - 2/7x) + 10/7 = 10/7

To simplify the coefficients even further, we have:

(10/7x) + 10/7 = 10/7

Subtraction of 10/7 from either side:

10/7x = 0

Finally, by multiplying both sides by the reciprocal of 10/7, we may find x:

x = 0 * 7/10

x = 0

As a result, the value of x in the equation is zero. option b is correct no solution.

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The acceleration of this classroom table is equal to 1.5 meter per seconds square.

From Newton's Second Law of Motion, the force exerted on the classroom table is modeled or represented by this mathematical equation (formula):

F = ma

Where:

By making "acceleration" the subject of formula, we have the following:

Acceleration, a = force/mass

Acceleration, a = 36/24

Acceleration, a = 1.5 meter per seconds square.

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Here is the complete equation using the provided values

6x+8=2x+24

6x-2x+8=2x-2x+24

4x+8=24

4x+8-8=24-8

4x=16

x=4

Factorization is the process of finding the factors of a given number or expression. A factor is a number or expression that divides the original number or expression without leaving a remainder. In other words, factorization is the process of expressing a number or expression as a product of its factors.

For example, the number 12 can be factored into 2 and 6, or into 3 and 4, because 2 and 3 are factors of 12 and their product gives 12. Similarly, the expression x^2 - 4 can be factored into (x+2)(x-2), because if we multiply (x+2) and (x-2), we get x^2 - 4.

Factoring is an important tool in algebra, as it allows us to simplify expressions, solve equations, and work with polynomials in a more efficient way.

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According to the function, the 10th term of the sequence is 2.038.

We can now use the values of A1, A4, A2, and A3 to find the value of d. Substituting A2 and A3 into the expression for A4 - A3, we get:

A4 - A3 = d

2.86 - (A1 + 2d) = d

Solving for d, we get:

d = -0.12

Now that we know the common difference between consecutive terms, we can write the function rule for the nth term of the sequence as:

An = A1 + (n - 1)d

Substituting A1 = 3.1 and d = -0.12, we get:

An = 3.1 - 0.12(n - 1)

To find the 10th term of the sequence, we simply plug in n = 10 into the formula:

A10 = 3.1 - 0.12(10 - 1) = 2.038

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Answer:

1 crown and 1 coin

Step-by-step explanation:

1 crown =10 cents

1 coin = 25 cents

10 +25 = 35

Answer:

If a person weighs 150 pounds and their shoes weigh 10 pounds, then the person's weight in pounds is 150 x .10 = 15 pounds.

the condition for a function's graph to pass through the origin in polar coordinates is that the function's value at θ=0 is equal to zero, while the condition for a function's graph to pass through the origin in rectangular coordinates is that the function's value at (0,0) is equal to zero.

How to solve the question?

In polar coordinates, a graph of a function passes through the origin if and only if the function's value at θ=0 is equal to zero. This is because the origin in polar coordinates represents the point (r=0, θ), where r is the distance from the origin and θ is the angle of the point with respect to the positive x-axis. When a function's value at θ=0 is equal to zero, it means that the point on the graph at θ=0 lies on the positive x-axis and has a distance of r=0 from the origin, which is the origin itself.

In contrast, a graph of a function in rectangular coordinates passes through the origin if and only if the function's value at (0,0) is equal to zero. This is because the origin in rectangular coordinates represents the point where the x and y axes intersect, and a point on the graph with coordinates (x,y) passes through the origin if and only if x=0 and y=0, which means the function's value at (0,0) is equal to zero.

In summary, the condition for a function's graph to pass through the origin in polar coordinates is that the function's value at θ=0 is equal to zero, while the condition for a function's graph to pass through the origin in rectangular coordinates is that the function's value at (0,0) is equal to zero.

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To find line segment AB, you'd have to use the principle of proportions. Thus, Line AB is 10.5.

To derive line segment AB,

6/4 = AB/7

To solve for AB, we can cross-multiply and simplify:

6/4 = AB/7

Multiply both sides by 7:

(6/4) * 7 = AB

Simplify:

10.5 = AB

Therefore, AB is equal to 10.5.

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Katie's claim can be represented by the equation: a² ¢= 4(1/2ab) + b²

Katie's claim can be represented by the equation:

Outer square area = Sum of areas of four triangles + Inner square area or mathematically, a² = 4(1/2ab) + b²

where "a" and "b" are the lengths of the legs of the right triangle and "a²" represents the area of the outer square, while "b²" represents the area of the inner square.

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Answer: a) To count the number of one-to-one functions from the set {1, 2,...,n} to the set {0, 1}, we can use the formula for the number of permutations of n distinct objects, which is n!.

However, since we are only considering one-to-one functions, we can only choose 0 or 1 for the image of each element of the domain. The first element can be assigned 2 choices, the second can be assigned 1 of the remaining 2 choices, the third can be assigned 1 of the remaining 1 choice, and so on. Therefore, the number of one-to-one functions from {1, 2,...,n} to {0, 1} is:

2 × 1 × 1 × ... × 1 = 2^(n-1)

b) To count the number of functions that assign 0 to both 1 and n, we can treat the remaining elements {2, 3,...,n-1} as a new set and count the number of functions from this set to {0, 1}. This is the same problem as in part (a), but with n-2 elements instead of n. Therefore, the number of functions from {1, 2,...,n} to {0, 1} that assign 0 to both 1 and n is:

2^(n-3)

c) To count the number of functions that assign 1 to exactly one of the positive integers less than n, we can choose which element of the domain is assigned 1 in n ways. The remaining elements can be assigned 0 or 1 independently, for a total of 2^(n-1) choices. Therefore, the number of functions from {1, 2,...,n} to {0, 1} that assign 1 to exactly one of the positive integers less than n is:

n × 2^(n-1)

Step-by-step explanation:

In normal distribution the area above 66 for a n(60, 10) is 0.726

What is normal distribution?

In probability theory and statistics, the Normal Distribution, which is also called the Gaussian Distribution, is the most significant continuous probability distribution.  It is also called a bell curve. In this distribution a large number of random variables are either nearly or exactly represented. Moreover, it can be used to approximate other probability distributions,

From the given data n(60, 10) so mean = 60 and standard deviation= 10

Now x≥ 66

so the z-score will be (66-60)/10

                                   = 6/10

                                   = 0.6

Now P(z>0.6)= 1- P(z< 0.6)

                     = 0.726

So, in normal distribution the area above 66 for a n(60, 10) is 0.726.

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Answer:

0.2 oz

Step-by-step explanation:

We Know

1g ≈ 0.035oz

5 gram = ? oz

We Take

0.035 x 5 ≈ 0.175 oz

So, 5 grams ≈ 0.2 oz