Marquis sold gift-wrapping paper for a school fundraiser. He sold at least 15 rolls of paper. Write an inequality to represnet the amount of money, d, Marquis earned for the fund-raiser

Step-by-step explanation:

Ok, so, to find this, remember- to find the true price of an item, remember the equation (PRICE DIVIDED BY QUANTITY), this will give you true price. So, for the individual, its $3.99 for one pound. In bulk, to find the true price, do price divided by quantity. $17.45/5= 3.45. So thats the better deal. Anyways, to find out how much cheaper it is, subtract 3.45 from 3.99. The answer is .54, however, since you need to round to the nearest tenth place, the answer would be .50

Answer:

its 22 because it is going by 3

The expression which shows how many grams of raisins are in the bowl will be

(0.01x) * 150 + (0.01y) * 250

An expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator. Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc.

The expression which shows how many grams of raisins are in the bowl will be:

= (x% × 150) + (y% × 250)

= (0.01x) * 150 + (0.01y) * 250

This equation represents the total grams of raisins in the bowl by multiplying the weight of the Oreana's bag by the percentage of raisins in it, and adding that to the product of the weight of Brandon's bag and the percentage of raisins in it. The "0.01" is used to convert the percentages from x and y to decimal form.

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An orthonormal set is a set of orthogonal unit vectors.

Normalization is the process of making unit vectors.

A set of vectors in which each vector is orthogonal to every other vector in the set is called an orthogonal set of vectors.

Two vectors are orthogonal when their dot product equals zero.

An orthonormal set is one in which each vector has length 1 and is orthogonal.

The process of creating a vector of length 1 in the same direction of the original vector is called "normalization".

An orthonormal set of vectors that is a basis of a vector space is quite useful. We can use the Gram-Schmidt process to transform a basis of a vector space (which may not be orthogonal) into an orthonormal basis.

To normalize vectors to produce an orthonormal set of vectors, we calculate the length of the vector and divide the vector by its length, to obtain a unit vector.

Since the question asked about "how to normalize vectors to produce an orthonormal set" that implies that the vectors already form an orthogonal set.

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The given question is incomplete,

So , I take another question, The question is:

How to normalize vectors to produce an orthonormal set?

Answer:

4

Step-by-step explanation:

Let x be the amout of tea he can buy

4(6)+3.5x≤40

24+3.5x≤40

3.5x≤16

x≤≈4.57

The most tea cup he can buy is the greatest integer below ≈4.57 which is 4

Answer:

The maximum cups of tea Ray could buy is 4.

Step-by-step explanation:

If he bought 6 cups of coffee and its cost 4$ then...

4 x 6 = 24

40 - 24 = 16

Since a cup of tea cost 3.5 $ and 3.5 goes into 16 4 times...

The maximum cups of tea Ray could buy is 4.

The intended population based on the information given is LMC students.

The actual population based on the information illustrated is Transfer Academy.

The sample is the 25 friends that the student talked to.

Using the data, the student decides to interview 25 of her acquaintances from the Transfer Academy to learn whether LMC students prefer eating in or eating outside of the cafeteria.

According to the data shown, Transfer Academy is the actual population in this circumstance. It is important to remember that the sample represents the population.

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The completed table of the functions and inverses can be presented as follows;

1. t(x) → a(x)

2. Q(x) → B(x)

3. G(x) → c(x)

4. f(x) → D(x)

5. y(x) → w(x)

6. e(x) → R(x)

7. U(x) → H(x)

8. P(x) → J(x)

9. m(x) → k(x)

10. S(x) → n(x)

Making x the subject of the given functions to find the inverse gives;

1. a(x) = 2•(x - 6)

Therefore;

x = (a(x)/2) + 6

t(x) = (x/2) + 6

Therefore;

2. G(x) = (1/4)•x²

4•G(x) = x²

x = 2•√(G(x))

3. B(x) = √(x)/4

4•B(x) = √(x)

x = 16•(B(x))²

Q(x) = 16•x²

Therefore;

4. D(x) = (x + 6)/2

x = 2•D(x) - 6

f(x) = 2•x - 6

Therefore;

5. y(x) = (4•x + 2)²

(√(y(x)) - 2)/4 = 4•x

w(x) = (√(x) - 2)/4

Therefore;

6. R(x) = (1/4)•(4•x)²

x = √(4•R(x))/4 = √(R(x))/2

e(x) = √(x)/2

Therefore;

7. H(x) = 2•x + 6

(H(x) - 6)/2 = H(x)/2 - 3

x = H(x)/2 - 3

U(x) = x/2 - 3

Therefore;

8. J(x) = (√(x + 2))/4

x = (4•J(x))² - 2

P(x) = (4•x)² - 2

Therefore;

9. k(x) = x/4 + 3

x = 4•(k(x) - 3) = 4•k(x) - 12

m(x) = 4•x - 12

Therefore;

10. n(x) = 4•(x + 3)

x = n(x)/4 - 3

S(x) = x/4 - 3

Therefore;

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Answer:

0.2937 ;

0.292 ;

0.275, 0.314, 0.295, 0.296, 0.276, 0.289

Step-by-step explanation:

0.275 0.319 0.314 0.280 0.288 0.314 0.295 0.296 0.317 0.276 0.274 0.289 0.295 0.276 0.275 0.296 0.311 0.289 0.283 0.312

Reordered data :

0.274, 0.275, 0.275, 0.276, 0.276, 0.280, 0.283, 0.288, 0.289, 0.289, 0.295, 0.295, 0.296, 0.296, 0.311, 0.312, 0.314, 0.314, 0.317, 0.319

The mean : ΣX / n ; n = sample size, = 20

Mean = 5.874 / 20 = 0.2937

The median : 1/2(n+1)th term

Median = 1/2(21)th term = 10.5 th term

Median = (10th + 11th) terms / 2

Median = (0.289+0.295) / 2 = 0.292

The mode = 0.275, 0.314, 0.295, 0.296, 0.276, 0.289 (values with ten highest number of occurence.)

Answer:

It is not a function

Step-by-step explanation:

A function is a rule from x to y that applies to all elements of x. Every element of x should have one image only.

Here, element "1" has two images 3 and 7. Therefore it's not a function.

Question:

The capacity of a dump truck is listed by the manufacturer as 10 yd^3. A construction site requires the removal of 200 m^3 of dirt, and the contractor has three identical trucks. How many trips will each need to make?

Answer:

7 trips

Step-by-step explanation:

Given

\(Capacity = 10yd^3\)

\(Dirts = 200m^3\)

\(Trucks = 4\)

Required

Determine the number of trips of each truck

Divide the volume of dirts by 4 to get the portion of each truck

\(Each\ Truck = \frac{200m^3}{4}\)

\(Each\ Truck = 50m^3\)

Divide the portion of each truck by capacity of each truck to get the number of trip

\(Trip = \frac{50m^3}{10yd^3}\)

Convert m^3 to yd^3

\(Trip = \frac{50 * 1.30795yd^3}{10yd^3}\)

\(Trip = \frac{65.3975yd^3}{10yd^3}\)

\(Trip = \frac{65.3975}{10}\)

\(Trip = 6.53975\)

Approximate:

\(Trip = 7\)

Answer:

k=−479.56

Step-by-step explanation:

Answer:

479.56

Step-by-step explanation:

Answer:  70%

Step-by-step explanation: 21 out of 30 students have 5 or more vowels in their name and 21/30 as a percentage is 70% so that is your answer

The percentage of the students who have 5 or more vowels in their first and last names will be 70%.

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

Ms. Gonzales gathered data on the number of vowels in the first and last names of each of her students.

Then the percentage of the students who have 5 or more vowels in their first and last names will be

\(\rm P = \dfrac{21}{30} \times 100\\\\P = 70\%\)

Twenty-one out of thirty kids had five or more vowels in their names, which equals 70%.

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Answer:4.46666666667

your welcome

Answer:

4 7/15

Step-by-step explanation:

The median, mean, range and mode will be 6, 5.4, 9 and 7.

What is median?

The median is the middle number in the data set when the data set is written from least to greatest.

The median is the number in the middle when arranged in an ascending order. The numbers will be:

0, 3, 4, 6, 6, 7, 7, 7, 9.

The median is 6.

The range is the difference between the highest and lowest number which is: = 9 - 0 = 9

The mode is the number that appears most which is 7.

The mean will be the average which will be:

= (0 + 3 + 4 + 6 + 6 + 7 + 7 + 7 + 9) / 9.

= 49/9

= 5.4

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Answer: x = 3

Step-by-step explanation:

Simplifying

10x + -4 = 6x + 8

Reorder the terms:

-4 + 10x = 6x + 8

Reorder the terms:

-4 + 10x = 8 + 6x

Solving

-4 + 10x = 8 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.

-4 + 10x + -6x = 8 + 6x + -6x

Combine like terms: 10x + -6x = 4x

-4 + 4x = 8 + 6x + -6x

Combine like terms: 6x + -6x = 0

-4 + 4x = 8 + 0

-4 + 4x = 8

Add '4' to each side of the equation.

-4 + 4 + 4x = 8 + 4

Combine like terms: -4 + 4 = 0

0 + 4x = 8 + 4

4x = 8 + 4

Combine like terms: 8 + 4 = 12

4x = 12

Divide each side by '4'.

x = 3

Simplifying

x = 3

Add

to both sides of the equation

Simplify

Add

to both sides of the equation

Simplify

6

Divide both sides of the equation by the same term

Answer:

x- intercept = - 8 , y- intercept = 4

Step-by-step explanation:

to find the x- intercept let y = 0 in the equation and solve for x

x - 2(0) = - 8

x - 0 = - 8

x = - 8 ← y- intercept

to find the y- intercept let x = 0 in the equation and solve for y

0 - 2y = - 8

- 2y = - 8 ( divide both sides by - 2 )

y = 4 ← y- intercept

Using relations in a right triangle, it is found that the length of AC is of 14 cm.

The relations in a right triangle are given as follows:

Researching this problem on the internet, we have that:

Hence the hypotenuse is found as follows:

sin(A) = 48/h

0.96 = 48/h

h = 48/0.96

h = 50 cm.

The length of side AC is the other leg of the triangle, found using the Pythagorean Theorem, hence:

\(x^2 + 48^2 = 50^2\)

\(x^2 = \sqrt{50^2 - 48^2}\)

x = 14 cm.

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Answer: f(-1/2) = 16/3

Step-by-step explanation:

Substituting -1/2 for x in the given function:

f(-1/2) = (-2/3)(-1/2) + 5

f(-1/2) = 1/3 + 5

f(-1/2) = 16/3

Therefore, f(-1/2) = 16/3.

Answer: –3 + 4i

Step-by-step explanation:

Answer:

-3+4i

Step-by-step explanation:

Edge 2020

The equation explaining the relationship between line segment AC and line segment A"C" is: y_A"C" = y_AC.

To determine the relationship between line segment AC and line segment A"C" in the given transformation, let's consider the properties of translation and dilation.

Translation:

A translation moves an object in a specific direction by a given distance. In this case, the translation (x + 0, y + 2) means that every point of the original triangle A'B'C' is shifted vertically upward by 2 units. So, A' becomes A" when shifted vertically by 2 units.

Dilation:

A dilation scales an object by a certain factor while keeping the same center of dilation. The scale factor of 2 means that every point is multiplied by 2 in both the x and y coordinates. Since the center of dilation is the origin (0, 0), the origin remains fixed.

Considering these transformations, we can deduce the following:

1. Translation: (x, y) ⟼ (x, y + 2)

2. Dilation: (x, y + 2) ⟼ (2x, 2(y + 2))

Applying the dilation to the translated point A", we get:

A" = (2x, 2(y + 2))

Now, we can determine the equation that relates line segment AC and line segment A"C" by comparing their coordinates:

The coordinates of A are (x, y), and the coordinates of C are (0, y) since it is a vertical line segment.

The coordinates of A" are (2x, 2(y + 2)), and the coordinates of C" are (0, 2(y + 2)).

The slope between A and C is given by:

m_AC = (y - (y + 2)) / (x - 0) = -2 / x

The slope between A" and C" is given by:

m_A"C" = (2(y + 2) - (2(y + 2))) / (2x - 0) = 0

Since the slope between A" and C" is zero, it indicates that line segment A"C" is a horizontal line. There is no change in the y-coordinate, implying that the y-value of A" and C" remains the same.

In other words, the y-coordinate of A"C" is equal to the y-coordinate of AC.

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The probable question may be:
Triangle A″B″C″ is formed using the translation (x + 0, y + 2) and the dilation by a scale factor of 2 from the origin. Which equation explains the relationship between line segment AC and line segment A"C"?

Add 7 to both sides.

Add −4 and 7 to get 3.

Multiply both sides by 3, the reciprocal of 1/3 . Since 1/3 is >0, the direction of inequality remains the same.

Multiply 3 and 3 to get 9.

To find the limit of a convergent sequence, we can simply take the limit as n approaches infinity. Let's calculate the limits for each of the given sequences:

A. \(\sf\:\lim_{n \to \infty} \frac{5n}{n+7} \\\)

To find the limit, we divide the leading terms by n:

\(\sf\:\lim_{n \to \infty} \frac{5n/n}{(n+7)/n} = \frac{5}{1} = 5 \\\)

Therefore, the limit of the sequence A is 5.

B. \(\sf\:\lim_{n \to \infty} \frac{4-7n}{8+n} \\\)

Again, divide the leading terms by n:

\(\sf\:\lim_{n \to \infty} \frac{4/n - 7}{8/n + 1} = \frac{0 - 7}{0 + 1} = -7 \\\)

So, the limit of sequence B is -7.

C. \(\sf:\lim_{n \to \infty} \frac{8n - 500\sqrt{n}}{2n + 800\sqrt{n}} \\\)

Divide the leading terms by n:

\(\sf\:\lim_{n \to \infty} \frac{8 - 500\sqrt{n}/n}{2 + 800\sqrt{n}/n} \\\)

As n approaches infinity, the terms involving \(\sf\:\sqrt{n}/n \\\) tend to 0:

\(\sf\:\lim_{n \to \infty} \frac{8 - 500(0)}{2 + 800(0)} = \frac{8}{2} = 4 \\\)

Therefore, the limit of sequence C is 4.

To summarize:

A. The limit of sequence A is 5.

B. The limit of sequence B is -7.

C. The limit of sequence C is 4.

Answer:

-0.3048106211

Answer:

$24,700

to get this answer you add all the numbers together so in this case 22,000 31,000 and 21,000 and you get 74,000 then you divide by how many numbers you originally had so in this case 3. so you get 24,666.666666667 and since the tens place is 5 or higher you round the hundreds up one so you get 24,700.

Here's the work

22,000+31,000+21,000=74,000

74,000÷3=24,666.666666667

which rounds to 24,700

For finding a 95% confidence interval:

a) The sample mean is x = 16.13.

The sample standard deviation is s = 6.948.

The degrees of freedom are df = 10.

The critical value of t for a 95% confidence interval is t = 2.228.

The margin of error is ME = t × s/√n = 2.228(6.948)/√11 = 4.263.

The 95% confidence interval is x ± ME = 16.13 ± 4.263 = (11.867, 20.393).

b) The 95% confidence interval is (11.867, 20.393).

This means that we are 95% confident that the true population mean number of visits per physical therapy patient is between 11.867 and 20.393 visits.

c) This is because the confidence interval is a range of values that is likely to contain the true population mean. If many samples of the same size are taken from the same population, then about 95% of the confidence intervals from these samples will contain the true population mean.

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Answer:

$250,000

Step-by-step explanation: