Maths ice cream shop has 7 cups of sprinkles to use on Sundays for the rest of the day if each Sunday serves with one 8th cup of sprinkles how many Sundays can they serve

The most appropriate units to describe the cost of the sandbox would indeed be dollars.

When describing the cost of an item or service, it is essential to use the unit that represents the currency being used for the transaction. In this case, the total cost of the sand for the school's sandbox is given in dollars. To maintain consistency and clarity, it is best to express the cost in the same unit it was provided.

Using dollars as the unit for the cost allows for clear communication and understanding among individuals involved in the transaction or discussion. Dollars are widely recognized as the standard unit of currency in many countries, including the United States, where the dollar sign ($) is commonly used to denote monetary values.

Using meters, the unit for measuring the dimensions of the sandbox, to describe the cost would be inappropriate and could lead to confusion or misunderstandings. Mixing units can cause ambiguity and hinder effective communication.

Therefore, it is most appropriate to describe the cost of the sand in dollars, aligning with the unit of currency provided and commonly used in financial transactions. This ensures clarity and facilitates accurate comprehension of the cost associated with the sand purchase for the school's sandbox.

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Answer:

D should be the one that DOES NOT represent a linear function

Answer: usually I’d answer the question but when it comes to really long questions especially in edmentum…

Step-by-step explanation:

I hit the submit button and go on myassignmenthelp.com or something like that and it’ll paraphrase the answer… I’d do it a couple times

The transformations that result in similar triangles are dilations, rotations, reflections, and translations.

A transformation that conserves the shape, but not necessarily the size, of a figure is called a similarity transformation. Rotation, reflection, and translation are rigid motions, which means they preserve both size and shape, on the other hand, dilation only ensures that the shape is preserved. As the rigid motions are congruence transformations, all congruent figures are also similar.

A similarity transformation is a dilation or a combination of rigid motions and dilations. Two geometric figures are similar if and only if there is a similarity transformation that maps one of the figures onto the other. Similar figures have the same shape but necessarily not the same size.

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Answer:

h = -9

2/3h - 1/3h + 11 = 8. Combine like terms

1/3h + 11 = 8. subtract from both sides

-11. -11

1/3h = -3

(3/1) 1/3h= -3 (3/1) multiply the reciprocal

h= -9

Step-by-step explanation:

2h/3 - h/3 + 11 = 8

h/3 = 8 - 11

h/3 = -3

h = -9

(a) The probability that exactly seven people arrive at the bike repair shop in a one hour period of time is 0.104.

(b) The probability that at most seven people arrive at the bike repair shop in a one hour period of time is 0.646.

(c) The probability that at most seven people arrive at the bike repair shop in a one hour period of time is 0.646.

(d) The probability that between 4 and 9 people, inclusively, arrive at the bike repair shop in a one hour period of time is 0.759.

(a)

The probability that seven people arrive at the bike repair shop in a one hour period of time can be calculated using the Poisson distribution formula:

P(X = 7) = (e^(-λ) * λ^x) / x!

where λ = 5 (average number of arrivals per hour) and x = 7.

P(X = 7) = (e^(-5) * 5^7) / 7! = 0.104

So, the probability that exactly seven people arrive at the bike repair shop in a one hour period of time is 0.104.

(b) The probability that at most seven people arrive at the bike repair shop in a one hour period of time can be calculated as the sum of probabilities for x = 0, 1, 2, ..., 7:

P(X ≤ 7) = Σ P(X = x) for x = 0 to 7

Using the Poisson distribution formula with λ = 5, we get:

P(X ≤ 7) = Σ (e^(-5) * 5^x) / x! for x = 0 to 7

P(X ≤ 7) = 0.033 + 0.140 + 0.175 + 0.146 + 0.092 + 0.046 + 0.018 + 0.006

P(X ≤ 7) = 0.646

So, the probability that at most seven people arrive at the bike repair shop in a one hour period of time is 0.646.

(c) The probability that more than seven people arrive at the bike repair shop in a one hour period of time can be calculated as:

P(X > 7) = 1 - P(X ≤ 7)

Using the result from part (b), we get:

P(X > 7) = 1 - 0.646 = 0.354

So, the probability that more than seven people arrive at the bike repair shop in a one hour period of time is 0.354.

(d) The probability that between 4 and 9 people, inclusively, arrive at the bike repair shop in a one hour period of time can be calculated as the sum of probabilities for x = 4, 5, 6, 7, 8, 9:

P(4 ≤ X ≤ 9) = Σ P(X = x) for x = 4 to 9

Using the Poisson distribution formula with λ = 5, we get:

P(4 ≤ X ≤ 9) = Σ (e^(-5) * 5^x) / x! for x = 4 to 9

P(4 ≤ X ≤ 9) = 0.104 + 0.175 + 0.175 + 0.146 + 0.098 + 0.061

P(4 ≤ X ≤ 9) = 0.759

So, the probability that between 4 and 9 people, inclusively, arrive at the bike repair shop in a one hour period of time is 0.759.

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The function h(x) is a translation of 4 units to the left, so the correct options is B.

h(x) = √(x + 4)

We know that h(x) is a transformation on the parent square root function:

f(x) = √x

If we look at the graphs, we can see h(x) is translated 4 units to the left.

Now, for a function f(x), we define a horizontal translation of N units as:

h(x) = f(x + N)

if  N < 0, the translation is to the right.

if N > 0, the translation is to the left.

In this case we have a translation of 4 units to the left, then N = 4, so we can write:

h(x)= f(x + 4)

Replacing the function f(x) we get:

h(x) = √(x + 4)

So the correct option is B.

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If the mean number of people who attended three basketball games was 8,242, that means the sum of the number of people who attended all three games is equal to 8,242 multiplied by the number of games, which is 3.

What does math mean?

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.

Total attendance = mean attendance * number of games

Total attendance = 8,242 * 3

Total attendance = 24,726

So the total attendance at the three games is 24,726 people.

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Let x = width

Length = 3x

Area = 35

3x * x = 35

3x^2 = 35

x^2 = 35/3

x = √(35/3)

Width = √(35/3)

Length = 3√(35/3)

Answer:

The average distance between the Earth and the Moon is 384 400 km (238 855 miles). The Moon's elliptical orbit with the distances at apogee and perigee.

The average distance between Earth and the Moon is 384 400 km (238 855 miles). the moon's elliptical orbit and the distances between its apogee and perigee.

Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively.

The distance can refer to a physical length in physics or to an estimate based on other factors in common usage.

The term is also frequently used metaphorically to denote a measurement of the degree of separation between two similar objects (such as statistical distance between probability distributions or edit distance between strings of text).

This is because spatial cognition is a rich source of conceptual metaphors in human thought (as exemplified by the distance between people in a social network).

Earth and the Moon are typically separated by 384 400 km (238 855 miles). The elliptical orbit of the moon with its apogee and perigee distances.

Therefore, the average distance between Earth and the Moon is 384 400 km (238 855 miles). the moon's elliptical orbit and the distances between its apogee and perigee.

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To find the sum of the series sigma^infinity_n = 0 (-1)^n 3^nx^2n/n! and sigma^infinity_n = 0 3^n+1x^2n/n!, we can use the formula for the sum of an infinite geometric series:

S = a / (1 - r)

where S is the sum, a is the first term, and r is the common ratio.

For the first series, a = 1 and r = -3x^2 / (n+1)(n+2). To see this, note that the nth term of the series is (-1)^n 3^n x^2n / n!, and the ratio between consecutive terms is -3x^2 / (n+1)(n+2). Therefore, the sum of the series is:

S = 1 / (1 + 3x^2/2 + 9x^4/8 + ...)

For the second series, a = 3x^2 and r = 3x^2 / (n+2)(n+3). To see this, note that the nth term of the series is 3^(n+1) x^2n / (n+1)!, and the ratio between consecutive terms is 3x^2 / (n+2)(n+3). Therefore, the sum of the series is:

S = 3x^2 / (1 - 3x^2/6 + 9x^4/120 - ...)

Both of these series converge for all values of x, so the sums exist. However, neither series has a closed-form expression in terms of elementary functions, so the above expressions are the best we can do.

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Answer:

30.24

Step-by-step explanation:

28% of 42 is 11.76

42 minus 11.76 is 30.24.

Answer:

Part: 42 days

Whole: 150 days

Percent: 28%

Step-by-step explanation:

Step-by-step explanation:

x = number of years after 2007.

x = 0 for 2007.

PC(x) is a function that calculates how many pounds of chicken the average adult will eat every year (x) after 2007 (up to 2012).

PC(x) = 0.8x + 52

0 <= x <= 5

in 2007 (x = 0) the average adult ate 52 pounds.

in every year after 2007 until 2012 0.8 pounds get added to the amount of the previous year.

so, in 2012 (x = 5) the average adult will eat

PC(5) = 0.8×5 + 52 = 4 + 52 = 56 pounds of chicken.

Answer:c

Step-by-step explanation:

Pythagoras was an ancient Greek mathematician who founded the Pythagorean school of thought. The Pythagorean theorem is a fundamental concept in mathematics that is attributed to Pythagoras and his followers.

It states that in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides. While this theorem is considered a cornerstone of mathematics today, it is important to understand that Pythagoras did not have access to the advanced mathematical tools and methods that we have today.

He had to rely on geometric constructions and reasoning to prove his theorem. Furthermore, Pythagoras believed that all numbers could be expressed as ratios of whole numbers, which is not always true in reality. Despite these limitations, the Pythagorean theorem has stood the test of time and continues to be a crucial tool in mathematics and other fields.

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The number of strings where exactly two of the ones are next to each other, while the third one is not next to the other two, is (n-1) x (n-2).

In combinatorics, one of the fundamental concepts is counting the number of strings or sequences of symbols that satisfy certain conditions.

Let us first consider the case where the two ones that are next to each other are at the beginning of the string. In this case, we can place the third one in any of the remaining positions, which are n-2, where n is the total length of the string. Therefore, the number of such strings is (n-2).

Similarly, if the two ones are at the end of the string, we can place the third one in any of the n-2 remaining positions, and the number of such strings is again (n-2).

Now let us consider the case where the two ones are in the middle of the string. In this case, we can place the two adjacent ones in (n-2) ways, and the third one can be placed in any of the remaining n-3 positions, since it cannot be adjacent to the other two ones. Therefore, the number of such strings is (n-2) x (n-3).

To get the total number of strings that satisfy the given condition, we need to add up the number of strings in each of the three cases:

Total number of strings = (n-2) + (n-2) + (n-2) x (n-3)

Simplifying this expression, we get:

Total number of strings = (n-1) x (n-2)

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The PA factor values for an interest rate of 7.75% and a number of periods of 10 years

1. Discrete Compounding (Annual): PA = 1.935047075

2. Continuous Compounding: PA = 2.399857382

3. Discrete Compounding (Semi-Annual): PA = 1.954083502

To determine the PA factor value for an interest rate (i) of 7.75% and a number of periods (n) of 10 years using the three methods, we can calculate it using the formulas for each method:

1. Discrete Compounding (Annual):

PA = (1 + i)^n

PA = (1 + 0.0775)^10 = 1.935047075

2. Continuous Compounding:

PA = e^(i*n)

PA = e^(0.0775*10) = 2.399857382

3. Discrete Compounding (Semi-Annual):

PA = (1 + i/2)^(2*n)

PA = (1 + 0.0775/2)^(2*10) = 1.954083502

Therefore, the PA factor values for an interest rate of 7.75% and a number of periods of 10 years using the three methods are as follows:

1. Discrete Compounding (Annual): PA = 1.935047075

2. Continuous Compounding: PA = 2.399857382

3. Discrete Compounding (Semi-Annual): PA = 1.954083502

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Answer:

41.57 in²

Step-by-step explanation:

Answer:

41.57 in² round it up and it's 42

Step-by-step explanation:

I just did it

Brainliest pls

Hence, the equation of the tangent plane to the surface at the point (6, 0, 2) is 3z = D.

To find the equation of the tangent plane to the surface \(3z = xe^{(xy)} + ye^x\) at the point (6, 0, 2), we need to determine the partial derivatives of the surface equation with respect to x and y.

Taking the partial derivative with respect to x, we have:

∂/∂x (3z) = ∂/∂x \((xe^{(xy)} + ye^x)\)

\(0 = e^{(xy)} + xye^{(xy)} + ye^x\)

Taking the partial derivative with respect to y, we have:

∂/∂y (3z) = ∂/∂y\((xe^{(xy)} + ye^x)\)

\(0 = x^2e^{(xy)} + xe^{(xy)} + xe^x\)

Now, we can evaluate these partial derivatives at the point (6, 0, 2):

At (6, 0, 2):

\(0 = e^{(0)} + (6)(0)e^{(0)} + (0)e^{(6)} \\= 1 + 0 + 0 \\= 1\\0 = (6)^2e^{(0)} + (6)e^{(0)} + (6)e^{(6)} \\= 36 + 6 + 6e^{(6)}\)

Thus, the partial derivatives at the point (6, 0, 2) are 1 and \(6e^{(6)},\)respectively.

Using the equation of a plane, which is given by:

Ax + By + Cz = D

We can substitute the coordinates of the point (6, 0, 2) and the partial derivatives into the equation and solve for the constants A, B, C, and D:

A(6) + B(0) + C(2) = D

6A + 2C = D

A(6) + B(0) + C(2) = 0

6A + 2C = 0

A = 0

C = -3

Therefore, the equation of the tangent plane to the surface \(3z = xe^{(xy)} + ye^x\) at the point (6, 0, 2) is:

0(x) + B(y) - 3(z) = D

-3z = D

So, the equation simplifies to:

3z = D

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The Cupcake Café’s recipe for cheesecake calls for 2/3 cup of cream cheese.42 cups of cream cheese does the café use to make 63 cheesecakes.

What is word problem?

A word problem is a mathematical problem or puzzle that is presented in the form of a written description or narrative, rather than as a simple equation or formula. It typically involves a scenario or situation that requires mathematical calculations or problem-solving skills to arrive at a solution. Word problems can be found in a variety of settings, including in math textbooks, standardized tests, and real-life situations. They often require the reader to identify and interpret relevant information, apply mathematical concepts and formulas, and use critical thinking skills to arrive at a correct answer.

To make 63 cheesecakes, the Cupcake Café would use:

(2/3 cup of cream cheese per cheesecake) x (63 cheesecakes)

= 42 cups of cream cheese.

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Adaptations that help the organisms to survive in their environment through development of physical traits that give them an advantage is called as structural adaptations.

Ten examples of structural adaptations are :

(1) Opposable thumbs in human : Helps in grasping and holding objects.

(2) Ears of elephant : Help them to stay cool.

(3) Skin of frogs : Help them to drink and breathe under water.

(4) Streamlined body of fish : Help them to swim.

(5) Eyes and nostrils of alligator : Help them breathe and keep an eye out while the rest of the body is submerged.

(6) Blubber in penguins : Protect them from extreme cold.

(7) Transparent body of jellyfish : Protecting them from predators or threats.

(8) Long roots in dessert plants : Allow them to have water deep below the surface of the ground.

(9) Thick bark of trees : Reduce water loss by evaporation

(10) Skin of octopus : Can change colour and texture to protect itself from predators.

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The sum of (-2i - 3) for i = 1 to 3 is -21.

We are given the expression (-2i - 3) and we need to evaluate it for the values of i from 1 to 3.

To do this, we substitute each value of i into the expression and calculate the result.

For i = 1:

(-2(1) - 3) = (-2 - 3) = -5

For i = 2:

(-2(2) - 3) = (-4 - 3) = -7

For i = 3:

(-2(3) - 3) = (-6 - 3) = -9

Finally, we add up the results of each evaluation:

(-5) + (-7) + (-9) = -21

Therefore, the sum of (-2i - 3) for i = 1 to 3 is -21.

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By the use of a mirror, the school is 19.38 meters tall

From the question, we have the following parameters that can be used in our computation:

From the above parameters, we have the following equivalent ratio

Distance walked from the school : Height of the school = Distance walked to the other side : Distance from her eyes to the ground

Substitute the known values in the above equation, so, we have the following representation

11.25 : Height of the school = 0.9 : 1.55

Express as fraction

Height of the school/11.25 = 1.55/0.9

So, we have

Height of the school = 11.25 * 1.55/0.9

Evaluate

Height of the school = 19.38

Hence, the height of the school is 19.38 meters

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Answer:

309in²

Step-by-step explanation:

Area of an octagon is expressed as;

A=2(1+√2)a²

a is the side length of the octagon

Given

a = 8

Substitute into the formula

A = 2(1+√2)(8)²

A = 2(1+√2)(64)

Expand

A = 2(64+64√2)

A = 128+128√2

A = 128+128(1.414)

A = 128+181.01

A = 309in²

Hence the area of the octagon is 309in²

Mungkin Gini Kali Ya Kak

(3) × 2(2)

Answer:

9x² - 12x + 4

Step-by-step explanation:

(3x - 2)²

= (3x - 2)(3x - 2)

Each term in the second factor is multiplied by each term in the first factor , that is

3x(3x - 2) - 2(3x - 2) ← distribute parenthesis

= 9x² - 6x - 6x + 4 ← collect like terms

= 9x² - 12x + 4

Answer:

x = -7

Step-by-step explanation:

4(2x + 14) = 0

Isolate the variable (x)

2x + 14 = 0 ÷ 4

2x + 14 = 0

2x = 0 - 14

2x = -14

x = -14 ÷ 2

x = -7

To determine the line of best fit using the given information, we can utilize the equation of a linear regression line, which has the form y = mx + b.

In this case, y represents the dependent variable, x represents the independent variable, m represents the slope, and b represents the y-intercept.

Based on the given values, we have a = 3.1 and b = 12.9. However, it seems that the correlation coefficient (r) and coefficient of determination (r2) are provided, which are not directly related to the line of best fit equation.

To obtain the line of best fit, we would need the slope and y-intercept values. Without this information, it is not possible to determine the specific equation for the line of best fit. If you have additional data or the slope and y-intercept values, I can assist you in calculating the line of best fit.

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Answer:

A. y>x−9y is greater than x minus 9