Valerie bought a guitar at a sale price of S = 0.8g, where g represents the original cost of the guitar. Which expression shows the sale price in a way that emphasizes the percent discount that she received? A S = (1 + 0.8). B S= (1 +0.2) g C S= (1 - 0.8). D S = (1 – 0.2) g​

Answer:

Domain: \(0\leq x\leq 6\)

Range: \(\{0, 12, 24, 36, 48, 60, 72\}\)

Step-by-step explanation:

Let \(y\) or \(f(x)\) be equal to the amount of plant food that remains after each day.

\(x\) be the number of days that have passed.

Total amount of plant food used is 72 mm.

Number of days the experiment goes on is 6 days.

Plant food used each day is \(\dfrac{72}{6}=12\ \text{mm}\).

So, the function will be

\(y=f(x)=72-12x\)

at

\(x=0,y=72\)

\(x=1,y=72-12\times 1=60\)

\(x=2,y=72-12\times 2=48\)

\(x=3,72-12\times 3=36\)

\(x=4,72-12\times 4=24\)

\(x=5,72-12\times 5=12\)

\(x=6,72-12\times 6=0\)

Value of \(x\) is the domain which is \(0\leq x\leq 6\).

Value of \(y=f(x)\) is the range which is \(\{0, 12, 24, 36, 48, 60, 72\}\).

Answer:

The first thing that we have to do is add 33 to both sides to try to reduce the amount of variables on the left hand side.

\(\frac{x}{6} - 33 = -27\)

\(\frac{x}{6} - 33 + 33 = -27 + 33\)

\(\frac{x}{6} = 6\)

Now that we have simplified the left hand side even more we only have one part left to get x by itself which is to multiply both sides by 6.

\(\frac{x}{6} = 6\)

\(\frac{x}{6} * 6 = 6 * 6\)

\(x = 36\)

Therefore, our final answer for what the value of x equals is 36.

Hope this helps!  Let me know if you have any questions

Answer:

$30

Step-by-step explanation:

To find the original price, divide the new price by 0.8

24/0.8

= 30

So, the original price was $30

Answer:

30 dollars

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

8/20=0.40

0.40*100=40

Answer:

29

Step-by-step explanation:

To simply, follow the rules of PEMDAS (Parathensis,Exponents,Multiplication,Division,Addition and Subtraction). So, first do the problems in the parathesis, and to do that you must first do the exponent which is 8 squared, and the answer would be 64, next add 14 + 64 and that would be 78. Now that we are done with the paranthesis we should move on to the division which is 78 divided by 2 so that would be 39 next subtract 39 by 10 which would equal to 29, which is the answer

Answer:

the surface area of cylinder is 1733.28 inches²

hope it helps

have a nice day

the inequality for P in simplest form is written as p> 10/13

Note that inequalities are unequal comparisons between numbers or variables based on their sizes.

From the information given, we have that;

10 + 3 (-6p-2) > -5p - 3 -3

Now, expand the bracket

10 -18p - 6 > -5p - 3 -3

collect the like terms, we get;

-18p + 5p > -6 -1 0 + 6

Add or subtract the values, we have;

-13p> -10

Make 'p' the subject by dividing by the coefficient, we get;

p> -10/-13

Divide the values

p> 10/13

Learn about inequalities at: https://brainly.com/question/25275758

#SPJ1

The number of pumpkins that were harvested on the farm during in the month of October is shown below, in accordance with the correlation concept.

It is, in Part A.

Part B: the quantity of harvested pumpkins and the quantity of fertiliser used.

what is correlation?

Correlation is a statistical measure that evaluates the strength of a relationship between two variables. It can range from -1 to +1, where -1 indicates a perfect negative linear correlation, 0 indicates no linear correlation, and +1 indicates a perfect positive linear correlation. Correlation is used to measure the strength of the relationship between variables, and whether changes in one variable are associated with changes in the other. Correlation analysis can also help to identify patterns and trends in data, and can be used to make predictions about future outcomes.

Part A:

The stronger the correlation between two variables, as well as vice versa, the closer this same correlation coefficient is to 1. Additionally, the correlation coefficient is closer to 1 the closer this same data points are spaced apart on a scatter plot.

The scatter plot depicted shows a correlation between the quantity of pumpkins and the number of days. The data points are, however, somewhat further apart from one another. The two variables have a moderate relationship, as evidenced by this. Consequently, the calculated correlation coefficient, r, of 0.51 can be regarded as accurate because r of 0.51 denotes a moderate relationship between the two variables.

Part B:

Instead of the day in October, the amount of fertiliser used could have an impact on the number of pumpkins harvested. As a result, we can evaluate the quantity of pumpkin harvested and fertiliser used.

Therefore,

Part A: YES, it is.

Part B: the quantity of harvested pumpkins and the quantity of fertiliser used.

To learn more about correlation from the given link

https://brainly.com/question/4219149

#SPJ1

The equation (a – b)c = ac – bc is not always true. A counterexample can be found by choosing specific values for a, b, and c that do not satisfy the equation.

Let's consider the values a = 3, b = 2, and c = 4. Substituting these values into the equation, we have (3 - 2) * 4 = 3 * 4 - 2 * 4, which simplifies to 1 * 4 = 12 - 8. However, 4 is not equal to 12 - 8 since the left side of the equation equals 4 while the right side equals 4. Therefore, this counterexample demonstrates that the equation (a – b)c = ac – bc is not always true.

In general, the equation (a – b)c = ac – bc holds true when a, b, and c are real numbers and the operation of subtraction is distributive over the operation of multiplication. However, this counterexample shows that there are specific values for a, b, and c where the equation does not hold true. It is important to be cautious when assuming the validity of equations and consider cases where they might not be applicable.\

Learn more about subtraction here: https://brainly.com/question/714959

#SPJ11

Therefore, the first term of the sequence is 3.

A sequence is an ordered list of numbers, usually generated by a pattern or a rule. Each number in the sequence is called a term, and the position of a term in the sequence is called its index. Sequences can have a finite or infinite number of terms, and they can be defined in various ways, such as recursively (where each term is defined in terms of the previous terms) or explicitly (where the formula for each term is given).

Here,

The given sequence is an arithmetic sequence, where the common difference between consecutive terms is 4. To find the first term, we can use the formula for the nth term of an arithmetic sequence, which is:

an = a1 + (n - 1)d

where an is the nth term, a1 is the first term, n is the position of the term in the sequence, and d is the common difference.

For this sequence, we know that a6 = 23 (since 23 is the last term given in the sequence), n = 6, and d = 4. Substituting these values into the formula, we get:

a6 = a1 + (6 - 1)4

23 = a1 + 20

a1 = 23 - 20

a1 = 3

To know more about sequence,

https://brainly.com/question/29266402

#SPJ1

Complete question:

What’s the first term for the given sequence: 3, 7, 11, 15, 19, 23?

Linear approximation to f(x) = -2x^3 + x at a = -1 is L(x) = -5(x + 1) - 3(x + 1)(x - (-1)). The linear approximation is an approximation of the function using the point-slope form by a straight line.

The linear approximation to a function f(x) at a point x = a is given by the equation:

L(x) = f(a) + f'(a)(x - a)

where f'(a) denotes the derivative of f evaluated at a.

In this case, we have f(x) = -2x^3 + x, and we want to find the linear approximation at a = -1.

First, we find the derivative of f(x):

f'(x) = -6x^2 + 1

Then, we evaluate f(-1) and f'(-1):

f(-1) = -2(-1)^3 + (-1) = 1

f'(-1) = -6(-1)^2 + 1 = 7

Using these values, we can write the linear approximation to f(x) at x = -1 as:

L(x) = f(-1) + f'(-1)(x + 1)

    = 1 + 7(x + 1)

    = 7x + 6

Alternatively, we can also write the linear approximation using the point-slope form of a line:

L(x) = f(-1) + f'(-1)(x - (-1))

    = 1 + 7(x + 1)

    = -5(x + 1) - 3(x + 1)(x - (-1))

Either way, the linear approximation to f(x) at a = -1 is L(x) = -5(x + 1) - 3(x + 1)(x - (-1)).

To know more about Linear approximation, visit:
brainly.com/question/1621850
#SPJ11

98% of the quarters can be expected to see a profit of at least $0.5 million.

What is a standard deviation?

In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range.

Z score = 0.7-0.5 = 0.2

σ = 0.1

P-value from Z-Table:

P(x<0.5) = 0.97725

             ≈ 98%

Hence, 98% of the quarters can be expected to see a profit of at least $0.5 million.

To learn more about standard deviation, visit:

https://brainly.com/question/475676

#SPJ4

Answer:

g(x)=0  when x= 2 or when x= 5

The graph of g intercepts the x-axis at x= 2 and x= 5

The zeros of g are 2 and 5

Step-by-step explanation:

Answer:

X = 1 week

Each will have $ 26 in 1 week

Step-by-step explanation:

Tamar: y = 15x + 11

Sister: y = 7x + 19

15x + 11 = 7x + 19

15x - 7x = 19 - 11

8x = 8

x = 8/8

15(1) + 11 = 26

Step-by-step explanation:

20 X _15 = 5X +90

15 X =105

X= 7

< A = 35

<B = 55

Answer:

htdxdfdfg

Step-by-step explanation:

Let's denote the ages of the two remaining men as x and x + 3 (since one is 3 years older than the other).

We know that the average age of 6 men is 35 years. So, the sum of their ages is 6 * 35 = 210 years.

We also know that the average age of four of them is 32 years. So, the sum of their ages is 4 * 32 = 128 years.

To find the sum of the ages of the two remaining men, we subtract the sum of the ages of the four men from the sum of the ages of all six men:

210 - 128 = 82 years.

Now, we can set up an equation to solve for the ages of the remaining two men:

x + (x + 3) = 82.

Combining like terms, we get:

2x + 3 = 82.

Subtracting 3 from both sides:

2x = 79.

Dividing both sides by 2:

x = 39.5.

So, one of the remaining men is 39.5 years old, and the other is 39.5 + 3 = 42.5 years old.

Since we are adding and the denominators are the same, all we need to do is add the numerators.

3/5 + 4/5 = 7/5

Best of Luck!

The equation of the tangent line to the function y = 2x^2 + x - 4 at the point x = 1 is y + 1 = 5(x - 1).

To find the equation of the tangent line to the function y = 2x^2 + x - 4 at the point x = 1,

we will follow these steps:
Evaluate the function at x = 1 to find the point (1, y):
\(y = 2(1)^2 + 1 - 4\)
y = 2 + 1 - 4
y = -1
So, the point is (1, -1).
Find the derivative of the function to get the slope of the tangent line:
\(dy/dx = d(2x^2 + x - 4)/dx\)
dy/dx = 4x + 1
Evaluate the derivative at x = 1 to find the slope of the tangent line:
m = 4(1) + 1
m = 5
Use the point-slope form to find the equation of the tangent line:
y - y1 = m(x - x1)
y - (-1) = 5(x - 1).

For similar question on equation.

https://brainly.com/question/26175191

#SPJ11

Answer:

5

Step-by-step explanation:

Work Shown:

L = (0,1)

N = (6,1)

m = slope of LN

m = (y2-y1)/(x2-x1) is the slope formula

m = (1-1)/(6-0)

m = 0/6

m = 0

Points L and N are on the same horizontal level, so line LN is horizontal and completely flat. We can see this by noting the y coordinates are both the same. All horizontal lines have a slope of 0 to indicate no change in y value (ie, no change in rise; no increase nor decrease)

Answer:

6.14

Step-by-step explanation:

Find area of shaded region:

regtangle area - circle area = shaded area

Regtangle area:

3x3=9

Circle area:

Pi (3.14) x radius x radius= 3.14

area all together if shaded region

9-3.14=6.14

The tvenge velocity for the time period beginning when f_0=3 second and lasting for t=0.1 sec is - 28.2 ft/s. Answer: - 28.2 ft/s.

The height of a ball thrown into the air by a baby allen on a planet in the system of Alpha Centaur with a velocity of 36 ft/s is given by the function y

=36t−16t^2 where f is measured in seconds. To find the tvenge velocity for the time period beginning when f_0

=3 second and lasting for the given time. t

=0.1 sec, t
=0.005 sec, t

=0.002 sec, t

=0.001 sec. We can differentiate the given function with respect to time (t) to find the tvenge velocity, `v` which is the rate of change of height with respect to time. Then, we can substitute the values of `t` in the expression for `v` to find the tvenge velocity for different time periods.t given;

= 0.1 sec The tvenge velocity for t

=0.1 sec can be found by differentiating y

=36t−16t^2 with respect to t. `v

=d/dt(y)`

= 36 - 32 t Given, f_0

=3 sec, t

=0.1 secFor time period t

=0.1 sec, we need to find the average velocity of the ball between 3 sec and 3.1 sec. This is given by,`v_avg

= (y(3.1)-y(3))/ (3.1 - 3)`Substituting the values of t in the expression for y,`v_avg

= [(36(3.1)-16(3.1)^2) - (36(3)-16(3)^2)] / (3.1 - 3)`v_avg

= - 28.2 ft/s.The tvenge velocity for the time period beginning when f_0

=3 second and lasting for t

=0.1 sec is - 28.2 ft/s. Answer: - 28.2 ft/s.

To know more about velocity visit:

https://brainly.com/question/30559316

#SPJ11

Ratnam will have to pay Rs. (x+50y) to the agency for a journey of 50 kilometers.

A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

Given that, Ratnam hired a car from a car renting agency which charges a flat amount of Rs. x for travelling up to 40 kilometers and Rs. y per km for every kilometer travelled thereafter.

We need to find how much should Ratnam pay the agency for a journey of 50 kilometers,

The amount for travelling a km is Rs. y

Therefore, for 50 km it will cost = 50y

Since, they are charging Rs. x as a flat amount,

Therefore, the total cost of travelling 50 km is = x+50y

Hence, Ratnam will have to pay Rs. (x+50y) to the agency for a journey of 50 kilometers.

Learn more about word problems, click;

https://brainly.com/question/29027588

#SPJ1

The statement false is:

Expanding the sample size can decrease the power of a hypothesis test.

The correct option is (d)

The significance level is the probability of rejecting the null hypothesis when it is true. For example, a significance level of 0.05 indicates a 5% risk of concluding that a difference exists when there is no actual difference.

The level of statistical significance is often expressed as a p -value between 0 and 1. The smaller the p-value, the stronger the evidence that you should reject the null hypothesis. A p -value less than 0.05 (typically ≤ 0.05) is statistically significant.

The probability of making a type I error is α, which is the level of significance you set for your hypothesis test. An α of 0.05 indicates that you are willing to accept a 5% chance that you are wrong when you reject the null hypothesis.

The correct option is (d).

Learn more about Significance level at:

https://brainly.com/question/13947717

#SPJ4

Answer:

1)
Number of Seats in next three rows: 37, 41, 45

Number of seats in row 21 = 105

2)

Cost for 4, 5, 6 miles:
Miles            Cost($)
4                    14.50

5                    18.00

6                    21.50

Cost for 12 miles = $42.50

Step-by-step explanation:

1) The arithmetic sequence is
25, 29, 33 ....

Each term is 4 more than the previous term

So the next three terms starting with the 4th term area

33 + 4 = 37
37 + 4 = 41

41 + 4 = 45

In terms of the problem statement these are the number of seats in rows 4, 5, 6 respectively

The general equation for an arithmetic sequence nth term is

a(n) = a(1) + d(n - 1)

Here a(1) is the first term; here a(1) = 25

d = difference between successive terms called the common difference; here common difference = 4

n is of course the number of terms to be considered

using the values we have
a(n) = 25 + 4(n- 1)

= 25 + 4n - 4

= 21 + 4n

So the 21st term is a(21)

a(21) = 21 + 4 (21)

= 21 + 84

= 105

------------------------------------------

2. Another arithmetic sequence

The first term is the charge for the first mile = 4

The second term = 7.5 for 2 miles

The third term = 11.5 for 3 miles

So d = 11 - 7.5 = 7.5 - 4 = 3.5

The cost for 4 miles = 11 + 3.50 = $14.50

The cost for 5 miles = 14.50 + 3.50 = $18

The cost for 6 miles = 18 + 3.50 = $21.50

Using the equation for finding the nth term we get

a(n) = a(1) + d(n - 1)
a(n) = 4 + 3.5(n-1)

a(n) = 4 + 3.5n - 3.5

a(n) = 0.5 + 3.5n

We have the following table

Miles            Cost      ($)

1                     4.00

2                    7.50

3                    11.00

4                    14.50

5                    18.00

6                    21.50

For 12 miles which would correspond to the 12 term

a(12) = 0.5 + 3.5(12)

= 0.5 + 42

= $42.50

The commission amount the salesperson earn is $29.7.

The percentage formula is dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Selling price = $495

Commission = 6%

Now,

The amount of commission.

= 6% of 495

= 6/100 x 495

= 29.7

Thus,

The commission the salesperson earn is $29.7.

Learn more about percentages here:

https://brainly.com/question/11403063

#SPJ9

Answer:

Sasha has used the theoretical probability which assumes that all the possibilities have an equal chance of occurring but in reality, the chances of each probability happening are not going to be equally split with the chances of the bus being on time being slightly higher than being early or late. This is called the experimental probability where you actually test out the probability of the bus being on time, early or late which is much more accurate than the general, theoretical probability.

Answer:

how much money will she have by the end?

400 + 15*36= 940$

Step-by-step explanation:

The task requires analyzing a list of departments and performing several tasks related to relationship codes, activity relationship diagrams, reason codes, a worksheet, and a dimensionless block diagram.

We need to consider the number of departments. Since we have 7 departments listed, the number of relationship codes can be calculated using the formula: (n * (n-1)) / 2, where n is the number of departments.

Substituting the value of n = 7, we get:

Relationship Codes = (7 * (7-1)) / 2

= (7 * 6) / 2

= 42 / 2

= 21

Therefore, there will be 21 relationship codes in the chart.

Create an activity relationship diagram:

An activity relationship diagram visually represents the relationships between departments. Here is a basic diagram representing the given departments:

Receiving --+

           +-- Assembly & Shipping -- Offices

Fabrication--+

           +-- Painting -- Stores

Restrooms & Lockers

Populate the diagram with codes for all the relationships:

To populate the diagram with codes, we can assign a unique code to each relationship. Here's an example of assigning codes to the relationships in the diagram:

Receiving (R) --+

               +-- Assembly & Shipping (AS) -- Offices (O)

Fabrication (F)--+

               +-- Painting (P) -- Stores (S)

Restrooms & Lockers (RL)

What is the percentage of codes in each category? Does it follow the standard percentages?

To determine the percentage of codes in each category, we need to count the number of codes in each category and calculate the percentage relative to the total number of codes (21).

In this case, we have the following categories and their respective codes:

Production: R, F, AS, P (4 codes)

Administration: O, S (2 codes)

Support: RL (1 code)

Percentage of Production codes = (4 / 21) * 100 ≈ 19.05%

Percentage of Administration codes = (2 / 21) * 100 ≈ 9.52%

Percentage of Support codes = (1 / 21) * 100 ≈ 4.76%

These percentages do not necessarily follow any standard percentages. The distribution of codes among categories can vary depending on the specific organization or context.

Provide at least 3 reason codes for the chart:

Reason codes are used to provide explanations or justifications for the relationships depicted in the chart. Here are three example reason codes for the given chart:

R01: Receiving department receives raw materials and supplies from external sources.

AS01: Assembly & Shipping department assembles products and prepares them for shipment.

O01: Offices department provides administrative support and management functions for the organization.

Create a worksheet to assist in the creation of the dimensionless block diagram:

Here's an example of a worksheet that can assist in creating the dimensionless block diagram:

Relationship Code From Department To Department

R Receiving Fabrication

F Fabrication Painting

AS Assembly & Shipping Offices

P Painting Stores

RL Restrooms & Lockers -

O Offices -

S Stores -

This worksheet lists the relationship codes along with the corresponding "From" and "To" departments.

Create a dimensionless block diagram for your data B. Show the flow through the dimensionless block diagram:

A dimensionless block diagram represents the flow of activities or information between different departments. Here's an example of a dimensionless block diagram based on the given data:

Receiving --> Fabrication --> Painting --> Stores

                  |

                  v

        Assembly & Shipping --> Offices

                  |

                  v

       Restrooms & Lockers

The arrows indicate the flow of activities or information from one department to another.

Learn more about Calculate here:

https://brainly.com/question/30151794

#SPJ11

The maximum value of P is 24 subject to the given constraints. Answer:Thus, the solution of the given problem is P = 24 subject to the given constraints.

To maximize the objective function P = 6x + 4y, given the constraints:x + 3y ≥ 6-x + y ≤ 4 2x + y ≤ 8 x ≥ 0, y ≥ 0We can use the graphical method to solve this Linear Programming problem.Step 1: Graph the given equations and inequalitiesGraph the equations and inequalities to determine the feasible region, i.e., the shaded area that satisfies all the constraints. The shaded area is shown in the figure below:Figure: The feasible region for the given constraintsStep 2: Find the corner points of the feasible regionThe feasible region has four corner points, i.e., A(0,2), B(2,1), C(4,0), and D(6/5,8/5). The corner points are the intersection of the two lines that form each boundary of the feasible region. These corner points are shown in the figure below:Figure: The feasible region with its corner pointsStep 3: Evaluate the objective function at each corner pointEvaluate the objective function at each corner point as follows:Corner Point  Objective Function (P = 6x + 4y)A(0,2)  P = 6(0) + 4(2) = 8B(2,1)  P = 6(2) + 4(1) = 16C(4,0)  P = 6(4) + 4(0) = 24D(6/5,8/5)  P = 6(6/5) + 4(8/5) = 14.4.

Step 4: Determine the maximum value of the objective function The maximum value of the objective function is P = 24, which occurs at point C(4,0). Therefore, the maximum value of P is 24 subject to the given constraints. Thus, the solution of the given problem is P = 24 subject to the given constraints.

To know more about maximum value visit:-

https://brainly.com/question/22562190

#SPJ11