A pack of 24 crayons costs the manufacturer $0.05 to make and is sold to the stores for $0.25. the stores sell the crayons for $0.50 during back to school week.

1.an equation that represents the mark up cost by the manufacturer is
a.p(c)=2c
b.p(c)=5c
c.p(c)=10c
2.an equation that represents the store mark up cost is
a.s(p)=2p
b.s(p)=5p
c.s(p)=10p
3.a composition of these two functions is
a.s(p(c))=2c
b.s(p(c))=10c
c.s(p(c))=5c
4.it represents
a.the total markup from cost to sales price
b.how much the store profits from the sale
c.how much money the manufacturer makes​

Both numbers are divisible by 2, 2 and 7.

What is Greatest Common Factor?

The greatest common factor (GCF) is the largest number that divides two or more numbers evenly. It is also known as the greatest common divisor (GCD) or highest common factor (HCF).

If 28 is the greatest common factor of two numbers, it means that both numbers have 28 as a factor. Thus, both numbers are divisible by 2, 2 and 7.

Additionally, the prime factorization of each number must contain all of the prime factors that are factors of 28, which are 2 and 7. However, there may be other prime factors as well. Without additional information, it is not possible to determine the complete prime factorization of each number.

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9 m, 23 m, and 23 m are the triangle's measurements.

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Answer:

Step-by-step explanation:

1

(x+3)+(x-1)+(x+1) = 90°

3x + 3 = 90°

3x = 90 - 3

3x = 87

x = 87/3

x = 29°

2

x + (x+104) = 180°

2x + 104 = 180°

2x = 180 - 104

2x = 76

x = 76/2

x = 38°

Answer:

2

Step-by-step explanation:

For Every x value the y value increases by 2

Answer:

m=5/2

Step-by-step explanation:

To find the slope, use the formula y=mx+b. m is the slope. The line with the equation y-4=5/2(x-2) gives us a slope of m=5/2. Hope it helps!

Using PEMDAS rule , we can evaluate the provide expression . The required result is thirteen that's the value is L= 13.

PEMDAS order of operations: The order of operations is a rule that tells the correct sequence of steps for evaluating a given mathematical expression. We can remember the order using "PEMDAS" where

P --> Parentheses

E --> Exponents (2⁵ is 2 raised to the power of 5)

M------> Multiplication and

D---->Division (from left to right)

A--->Addition

S--->Subtraction (from left to right).

We have given that

3/4 ( 2³ + 4² )

let given expresion equal to L i.e

L = 3/4 ( 2³ + 4² )

Now, we have to solve it

Using "PEMDAS" rule ,

L = 3/4 ( 2³ + 4²)

= 3/4 ( 8 + 4²)

= 3/4 ( 8 + 16 )

= 3/4 ( 24)

= 3/4 ×24

= 24×3/4

= 72/4

L = 1 3

Hence, the given expresion is equal to 13 .

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Slope  of the lines that pass through points (5,-8) and (-3,-4) is -1/2

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

We have to find slope  of the lines that pass through (5,-8) and (-3,-4)

Slope = -4-(-8)/-3-5

=-4+8/-8

=-4/8

=-1/2

Hence,  slope of the lines that pass through (5,-8) and (-3,-4) is -1/2

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Step-by-step explanation:

-2(x+y)+9=1

-2x-2y+9=1

-2x-2y=-8

-2y=2x-8

2y=-2x+8

y=-x+4

A basis for the subspace of R4 consisting of all vectors perpendicular to v is [-7/9, 1, 0, 0], [-2/9, 0, 1, 0], [1/3, 0, 0, 1].

We can find a basis for the subspace of R4 consisting of all vectors perpendicular to v by solving the homogeneous system of linear equations Ax = 0, where A is the matrix whose rows are the components of v and x is a column vector in R4.

The augmented matrix [A|0] is:

| 9 7 2 -3 | 0 |

||

||

||

||

We can row reduce the augmented matrix using elementary row operations to get it in reduced row echelon form.

| 1 7/9 2/9 -1/3 | 0 |

||

||

||

||

We can write the solution as a parametric vector form:

x1 = -7/9s - 2/9t + 1/3u

x2 = s

x3 = t

x4 = u

where s, t, and u are arbitrary constants.

Therefore, a basis for the subspace of R4 consisting of all vectors perpendicular to v is:

[-7/9, 1, 0, 0], [-2/9, 0, 1, 0], [1/3, 0, 0, 1]

These vectors are linearly independent and span the subspace of R4 perpendicular to v.

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The different ways can a student check off one answer to each question is 1024.

It is required to find the different ways can a student check off one answer to each question.

probability is the ratio of the number of favorable outcomes and the total number of possible outcomes. The chance that a particular event (or set of events) will occur expressed on a linear scale from 0 (impossibility) to 1 (certainty), also expressed as a percentage between 0 and 100%.

Given:

If a multiple choice test consists of 5 questions each with 4 possible answers of which only one is correct,

,To find  how many different ways can a student check off one answer to each question we have,

: 4^5 = 2^10

= 1024

Therefore, the different ways can a student check off one answer to each question is 1024.

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Answer:

Check the explanation below please! :)

Step-by-step explanation:

"It is provided that the students has to select new colors for the hats and the pants of the marching band uniforms.

The color options for each item are: yellow (Y), green (G), or black (B).

The sample space for the color selection of hats and pants is:

Sample Space

Hats        Pants

Y              Y

Y              G

Y              B

G              Y

G              G

G              B

B              Y

B              G

B              B

There are a total of 9 possible selections."

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Using the principles of Principal Component Analysis (PCA), we can calculate the mean vector and covariance matrix for the given set of four vectors: x1=(0,0,0)T, x2=(1,0,0)T, x3=(1,1,0)T, and x4=(1,0,1)T. The mean vector represents the average values of each component across the vectors, while the covariance matrix describes the relationships between the vectors. The correlation among the four vectors can be determined based on the covariance matrix.

To calculate the mean vector, we sum up the individual vectors and divide by the total number of vectors. In this case, the mean vector is given by:

m_x = (x1 + x2 + x3 + x4) / 4 = (0 + 1 + 1 + 1, 0 + 0 + 1 + 0, 0 + 0 + 0 + 1) / 4 = (3/4, 1/4, 1/4)

Next, we calculate the covariance matrix. The covariance between two vectors measures how they vary together. The covariance matrix is a square matrix where the (i, j)-th element represents the covariance between the i-th and j-th vectors.

To calculate the covariance matrix, we subtract the mean vector from each vector, multiply the resulting vectors by their transposes, and take the average. The covariance matrix, C_x, is given by:

C_x = (1/4) * [(x1 - m_x)(x1 - m_x)^T + (x2 - m_x)(x2 - m_x)^T + (x3 - m_x)(x3 - m_x)^T + (x4 - m_x)(x4 - m_x)^T]

Substituting the values:

C_x = (1/4) * [(0 - (3/4, 1/4, 1/4))(0 - (3/4, 1/4, 1/4))^T + (1 - (3/4, 1/4, 1/4))(1 - (3/4, 1/4, 1/4))^T + (1 - (3/4, 1/4, 1/4))(1 - (3/4, 1/4, 1/4))^T + (1 - (3/4, 1/4, 1/4))(0 - (3/4, 1/4, 1/4))^T]

Simplifying the equation and performing the necessary calculations will yield the covariance matrix C_x.

To determine the correlation among the four vectors, we can examine the values in the covariance matrix. Positive values indicate a positive correlation, negative values indicate a negative correlation, and values close to zero indicate a weak or no correlation between the vectors.

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The probability of the first 2 participants preferring Simply Significant and the remaining 13 participants preferring one of the other coffee brands is approximately 0.0392.

Assuming that each participant has an equal chance of preferring any of the four coffee brands and that their preferences are independent of each other, we can model the preference of each participant as a Bernoulli random variable with probability p of preferring Simply Significant Coffee.

Then, the probability of the first 2 participants preferring Simply Significant Coffee and the remaining 13 participants preferring one of the other coffee brands can be calculated as follows:

P(2 participants prefer Simply Significant and 13 prefer other brands) = P(Simply Significant)^2 * P(other brands)^13

where P(Simply Significant) is the probability of a participant preferring Simply Significant Coffee and P(other brands) is the probability of a participant preferring one of the other brands, which is 1/3 since there are three other brands besides Simply Significant.

Using the binomial probability formula, we can calculate P(Simply Significant) as follows:

P(Simply Significant) = C(15,2) * (1/4)^2 * (3/4)^13

where C(15,2) is the number of ways to choose 2 participants out of 15.

Plugging in the values, we get:

P(Simply Significant) = 105 * (1/16) * (0.3164) ≈ 0.0392

Therefore, the probability of the first 2 participants preferring Simply Significant and the remaining 13 participants preferring one of the other coffee brands is approximately 0.0392.

Note that this assumes that participants are choosing at random and are not influenced by factors such as the order in which the coffees are presented or any other external factors that could affect their preferences.

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Answer:

x=4.39024390244

Step-by-step explanation:

21x-3+20x+3=180

group up like terms

41x+0=180

41x=180

/41    /41

x=4.39024390244

simplify if needed

fraction form: 180/41

The expression that can be added to both sides of the given quadratic equation to change it to a perfect square trinomial is \(\frac{b^2}{4a^2}\) .

The standard form of perfect square trinomial is given as:

\(ax^2 + bx + c\)

here,

a = coefficient of x² .

b = coefficient of x.

c = constant .

Given the quadratic equation:

\(x^2 + \dfrac{b}{a}x\ +\ ?= -\dfrac{c}{a}\ +\ ?\)

The above equation is needed to be changed to a perfect square trinomial.

To change the quadratic equation into the perfect square, the squared of half the value of the coefficient of degree one variable can be added to both sides of the equation.

Therefore, the term to be that is needed to be added to the given quadratic equation is \(\frac{b^2}{4a^2}\) .

Now, the quadratic equation can be written as:

\(x^{2} + \frac{b}{a} x + \frac{ b^{2}}{4a^{2}} = \frac{-c}{a} + \frac{ b^{2}}{4a^{2}}\)

Therefore, \(\dfrac{b^2}{4a^2}\) should be added to both sides to convert it into the perfect polynomial.

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The given question is incomplete. Probably the complete question is:

When deriving the quadratic formula by completing the square what expression can be added to both sides of the given equation to create a perfect square trinomial?

\(x^2 + \dfrac{b}{a}x\ +\ ?= -\dfrac{c}{a}\ +\ ?\)

OLAP is used for the analysis of accumulated data, and it requires a data warehouse.

while OLTP is used for transaction processing and requires a database optimized for real-time transaction processing. The analysis of accumulated data is known as Online Analytical Processing (OLAP), and it involves a data warehouse. OLAP is a business intelligence tool used for multi-dimensional analysis of large data sets, while a data warehouse is a central repository that stores historical and current data from multiple sources in a structured manner. OLAP allows users to perform complex queries on large data sets, analyze trends, and make informed business decisions. It is often used in data mining and decision support systems. OLAP tools can be used to slice and dice data, drill down to more detailed data, and roll up to higher levels of summary data. OLAP is primarily used for analytical purposes and is not designed for transaction processing. On the other hand, a data warehouse is designed to support OLAP and is used for storing large amounts of historical data that can be queried and analyzed. Data is extracted from various sources, transformed, and loaded into the data warehouse in a structured format, enabling efficient querying and analysis. OLTP (Online Transaction Processing), on the other hand, is a type of transaction processing that is designed for processing real-time transactions in databases. It is used for day-to-day operations such as order processing, inventory management, and customer management. OLTP is optimized for processing large volumes of transactions in real-time, and is not suitable for analytical purposes.

In summary, OLAP is used for the analysis of accumulated data, and it requires a data warehouse, while OLTP is used for transaction processing and requires a database optimized for real-time transaction processing.

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.

9514 1404 393

Answer:

  55.5 ft

Step-by-step explanation:

In the attached diagram, PH = 50 represents the distance from point P to the house. The length of HT represents the height to the top of the house. The angle at P is the angle of elevation. That angle is adjacent to PH and opposite HT. This means the relevant trig relation is ...

  Tan = Opposite/Adjacent

  tan(48°) = HT/(50 ft)

  HT = (50 ft)tan(48°) ≈ 55.53 ft

The height of the house is about 55.5 feet.

Answer:

R = 20

Step-by-step explanation:

mean age = sum of ages/no. of men
sum of ages of the men that left = 55 + 63 = 188
remaining sum = 50R - 118

remaining no. of men = R - 2

now mean age = 50 - 1 = 49 years
49 = 50R-118/R-2
49(R - 2) = 50R - 118
49R - 50R = -188 - 98
-R = -20
R = 20

Answer:

In standard form: 4x- 9y = 11

Explanation:

4x -9y -7 = 4

4x -9y = 4 + 7

4x- 9y = 11

Standard form: Ax+By = C...where the A, x coefficient should be positive.

Answer:

35

Step-by-step explanation:

(-18) + (-83) +142) + |15) + (-21)

41 + 15 - 21

56 - 21

35

Answer:

OK don't worry we will help you get 15 points

Answer:

x = 10.5

Step-by-step explanation:

If you draw a line from the center to either end of 18.8, this will make a right triangle with hypotenuse is x, one side is 4.7, the other side is 18.8/2 = 9.4

so the Pythagorean Theorem states that a^2 + b^2 = c^2

x^2 = 4.7^2 + 9.4^2 = 22.09 + 88.36 = 110.45

x = 10.5

Answer:

\(3^{0} =1\)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The first three terms of the arithmetic sequence for the number of words written are 10010, 9760, 9510. These have a common difference of 9760-10010 = -250. The first term and common difference can be used to make the explicit equation for the words written on the n-th day.

The explicit formula for the n-th term of an arithmetic sequence with first term a₁ and common difference d is ...

  \(a_n=a_1+d(n-1)\)

For first term a₁ = 10010 and common difference d = -250, the explicit rule is ...

  \(a_n=10010-250(n-1)\)

On day 14, n=14, and the number of words written is ...

  \(a_{14}=10010-250(14-1)\\\\a_{14}=10010-250(13)=10010-3250\\\\a_{14}=6760\)

The writer would write 6760 words on the 14th day.

Answer: -3, 9√, pi, 49√

Step-by-step explanation:

Having the check beside a number, ex: 49√, shows that something squared, in other words multiplied by itself, equals this. In this example it would be 7. For, 7*7=49. For 9√ it would be 3. Pi is 3.14. Listing these out we have:

-3, 3.14, 3, 7. Let's order this...

-3 is the least, then 3, then 3.14 (slightly bigger than 3), lastly, 7.

Answer:

it should take the workers 18 days to finish

Step-by-step explanation:

The future value that Shawn will have in the bank after 5 years of investing $1,000 at a rate of 3% compounded quarterly is $1,161.18.

The equation that represents the situation is B) A = 1,000 (1.0075)⁴ˣ⁵

The future value describes the compounded present value at an interest rate.

The future value can be determined using the above FV formula or equation or an online finance calculator as follows:

N (# of periods) = 20 quarters (5 years x 4)

I/Y (Interest per year) = 3%

PV (Present Value) = $1,000

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = $1,161.18

Total Interest = $161.18

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Answer:

\(8x - 4 = 60 \\ 8x = 64 \\ x = 8\)

Answer:

8

Step-by-step explanation:

8x-4=60

Answer:

-13

Step-by-step explanation:

See steps below:

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               Hi my lil bunny!

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                 \(\boxed{-13}\)

Let's solve your equation step-by-step.

\(2(3x+6)=3(x-9)\)

Step 1: Simplify both sides of the equation.

\(2(3x+6)=3(x-9)\)

\((2) (3x) + (2) (6) = (3)(^{x}) + (3) (-9)\) (Distribute)

\(6x + 12 = 3x + -27\)

\(6x + 12 = 3x -27\)

Step 2: Subtract 3x from both sides.

\(6x + 12 - 3x = 3x - 27 - 3x\\3x + 12 = -27\)

Step 3: Subtract 12 from both sides.

\(3x + 12 - 12 = -27 - 12\\3x = -39\)

Step 4: Divide both sides by 3.

\(\frac{3x}{3} = \frac{-39}{3}\\x = -13\)

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        Have a great day/night!

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