A store manager instructs his employees to mark up all items by 30%. A store clerk puts a price tag of $30 on an item that the store bought for $27. As an employee, you notice that this selling price is incorrect. a. Find the correct selling price. Round to the nearest dollar. b. What was the clerk's likely error?​

Function is missing.

It is;

f(n) = ½⋅f(n − 1) for n ≥ 2

Answer:

Domain for this function is;

n ≥ 1

Step-by-step explanation:

We are told They decide they will have 64 pieces in week 1,

Thus;

f(1) = 64

From the function given;

f(n) = ½⋅f(n − 1)

So;

f(2) = ½•f(2 - 1)

f(2) = ½•f(1)

f(2) = ½ • 64

f(2) = 32

Also;

f(3) = ½•f(3 - 1)

f(3) = ½•f(2)

f(3) = ½ × 32 = 16

Looking at the steps, they follow a general pattern of;

f(n) = 64•½^(n - 1) for n ≥ 1

Thus, the domain for the function for n weeks after the first one is n ≥ 1

Answer:

Step-by-step explanation:

To determine if there is a positive linear association between the hours worked and the daily wages of waiters in a restaurant, you can create a scatter plot of the data and look for a pattern.

Once you have the data, you can use a statistical software or a spreadsheet program to create a scatter plot. You can then visually inspect the scatter plot to see if there is a clear pattern of a positive linear association between the two variables.

If there is a positive linear association, the data points on the scatter plot will form a roughly straight line that slopes upwards from left to right. The closer the data points are to the line, the stronger the association.

So, the data table that indicates a positive linear association between the hours worked and the daily wages of waiters in a restaurant is the one where the scatter plot shows a clear upward trend.

Answer:

63.5°

Step-by-step explanation:

sin x = 17/19

arcsin (17/19) = 63.5°

Answer:

4y²−38y−20

Step-by-step explanation:

(y−10)(4y+2)

=(y+−10)(4y+2)

=(y)(4y)+(y)(2)+(−10)(4y)+(−10)(2)

=4y²+2y−40y−20

=4y²−38y−20

please mark me brainliest!

Answer:

Step-by-step explanation:

\((y-10)(4y+2)\\ (a+b)(c+d)=ac+ad+bc+bd\\4y^2+2y-40y-20\\4y^2 -38y -20\)

Let's say Dali's walking speed is x and his running speed is 3x.

In the morning, let's say the total distance is d. Therefore, Dali walks d/2 with speed x and runs d/2 with speed 3x. The time it takes for him to complete this distance is given by:

d/2x + d/2(3x) = 24

Simplifying this equation, we get:

d = 3x(8)

d = 24x

So, the total distance Dali covers in the morning is 24x.

After school, let's say the distance from school to home is d'. Therefore, Dali walks d'/2 with speed x and runs d'/2 with speed 3x. The time it takes for him to complete this distance is given by:

d'/2x + d'/2(3x) = ?

We don't know how much time it takes Dali to get home, so we'll leave the right-hand side of the equation blank for now.

Now, let's look at the ratios of Dali's walking and running speeds:

Walking speed : Running speed = x : 3x = 1 : 3

This means that for every 4 parts of the distance Dali covers, he walks one part and runs three parts. So, we can write:

d' = 4y, where y is the distance Dali walks

This also means that Dali spends one-fourth of the total time walking and three-fourths running. So, we can write:

d'/2x + d'/2(3x) = (1/4)t + (3/4)t, where t is the total time it takes Dali to get home

Simplifying this equation, we get:

2d' = 2t(x + 3x)

4y = 8tx

y = 2tx

Substituting this value of y in the equation d' = 4y, we get:

d' = 8tx

So, the total distance Dali covers in the afternoon is 8tx.

Now, we have two equations:

d = 24x

d' = 8tx

We need to simplify these equations further to find the value of t (the total time it takes Dali to get home).

From the first equation, we get:

x = d/24

Substituting this value of x in the second equation, we get:

d' = 8t(d/24)

d' = (1/3)dt

So, the total distance Dali covers in the afternoon is (1/3)dt.

Now, we can equate the two expressions we have for d':

d' = 8tx = (1/3)dt

Simplifying this equation, we get:

24x = t

Therefore, it takes Dali 24 minutes to get home.

Answer:

I deeply apologize if this answer is wrong but I believe the answer is C. y = 2x - 3.

Step-by-step explanation:

If this helped I would appreciate it if you marked me Brainliest. thank you and have a nice day!

Answer:

x = 3

x = (-1)/2

x = 13/4

Step-by-step explanation:

Solve for x:

(2 x)/3 + 15 = 17

Put each term in (2 x)/3 + 15 over the common denominator 3: (2 x)/3 + 15 = (2 x)/3 + 45/3:

(2 x)/3 + 45/3 = 17

(2 x)/3 + 45/3 = (2 x + 45)/3:

1/3 (2 x + 45) = 17

Multiply both sides of (2 x + 45)/3 = 17 by 3:

(3 (2 x + 45))/3 = 3×17

(3 (2 x + 45))/3 = 3/3×(2 x + 45) = 2 x + 45:

2 x + 45 = 3×17

3×17 = 51:

2 x + 45 = 51

Subtract 45 from both sides:

2 x + (45 - 45) = 51 - 45

45 - 45 = 0:

2 x = 51 - 45

51 - 45 = 6:

2 x = 6

Divide both sides of 2 x = 6 by 2:

(2 x)/2 = 6/2

2/2 = 1:

x = 6/2

The gcd of 6 and 2 is 2, so 6/2 = (2×3)/(2×1) = 2/2×3 = 3:

Answer:  x = 3

______________________________________________________

Solve for x:

3 x - x + 8 = 7

Grouping like terms, 3 x - x + 8 = (3 x - x) + 8:

(3 x - x) + 8 = 7

3 x - x = 2 x:

2 x + 8 = 7

Subtract 8 from both sides:

2 x + (8 - 8) = 7 - 8

8 - 8 = 0:

2 x = 7 - 8

7 - 8 = -1:

2 x = -1

Divide both sides of 2 x = -1 by 2:

(2 x)/2 = (-1)/2

2/2 = 1:

Answer: x = (-1)/2

_______________________________________

Solve for x:

4 (2 x - 6) = 2

Divide both sides of 4 (2 x - 6) = 2 by 4:

(4 (2 x - 6))/4 = 2/4

4/4 = 1:

2 x - 6 = 2/4

The gcd of 2 and 4 is 2, so 2/4 = (2×1)/(2×2) = 2/2×1/2 = 1/2:

2 x - 6 = 1/2

Add 6 to both sides:

2 x + (6 - 6) = 1/2 + 6

6 - 6 = 0:

2 x = 1/2 + 6

Put 1/2 + 6 over the common denominator 2. 1/2 + 6 = 1/2 + (2×6)/2:

2 x = 1/2 + (2×6)/2

2×6 = 12:

2 x = 1/2 + 12/2

1/2 + 12/2 = (1 + 12)/2:

2 x = (1 + 12)/2

1 + 12 = 13:

2 x = 13/2

Divide both sides by 2:

x = (13/2)/2

2×2 = 4:

Answer: x = 13/4

The man is 23 km west of his home after driving 169 km to the east and 192 km to the west.

To determine how far the man is from his home after driving 169 km to the east and 192 km to the west, we can think of his movements as a displacement vector.

The vector representing the man's movement to the east has a magnitude of 169 km and is directed towards the east. Similarly, the vector representing his movement to the west has a magnitude of 192 km and is directed towards the west.

Since these two vectors are in opposite directions, we can subtract them to find the net displacement vector.

Net displacement = 169 km east - 192 km west

= -23 km west

The negative sign indicates that the net displacement vector is directed towards the west, which means that the man is 23 km west of his home.

To determine the distance between the man and his home, we can use the Pythagorean theorem. Since the man moved only in the east-west direction, the distance between him and his home is the absolute value of the net displacement, which is 23 km.

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Answer:

2/37

Step-by-step explanation:

rate is 4/74 miles per minute, now both numerator and denominator can be divided by 2, so

4/74 = 2/37, which cannot be simplified further

Answer:

i believe that would be -8...

Step-by-step explanation:

Answer:

the correct answer is -8

plz mark as brainliest

Step-by-step explanation:

Answer:

Keshuan will save 135.00  with the rebate price

Answer:

5x^2 + 17xy - 12y^2

5x^2 + 5xy + 12xy - 12y^2

5x (x - y ) + 12 y ( x - y )

(5x + 12y ) (x-y).

Step-by-step explanation:

Step-by-step explanation:

Jack mows 1 lawn in 3 hours

= 1/3 lawn in 1 hour

Marilyn mows 1 lawn in 6 hours

= 1/6 lawn in 1 hour

Together, they can mow 1/3 + 1/6

= 1/2 lawn in 1 hour.

Hence they will need 2 hours to mow the lawn.

Answer:

96, 84, 72, 60, 48, 36

Step-by-step explanation:

The 6 arithmetic means are the terms of an arithmetic sequence between 108 and 24

let the means be a, b, c, d, e, f , then sequence is

108, a, b, c, d, e, f, 24

The nth term of an arithmetic sequence is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 108 , and n = 8

24 = 108 + 7d ( subtract 108 from both sides )

- 84 = 7d ( divide both sides by 7 )

- 12 = d

Then

a = 108 - 12 = 96

b = 96 - 12 = 84

c = 84 - 12 = 72

d = 72 - 12 = 60

e = 60 - 12 = 48

f = 48 - 12 = 36

The 6 arithmetic means are 96, 84, 72, 60, 48, 36

Answer:6

Step-by-step explanation:

76 because 76 yea

Answer:

cost of pizza I 5 and using proper cleaning

Answer:

10 groups of 3, 3 groups of 10 and 5 groups of 6

Step-by-step explanation:

The temperature of the ice cream 2 hours after it was placed in the freezer is 37.40 °C

From Newton's law of cooling, we have that

\(T_{(t)}= T_{s}+(T_{0} - T_{s})e^{kt}\)

Where

\((t) = \ time\)

\(T_{(t)} = \ the \ temperature \ of \ the \ body \ at \ time \ (t)\)

\(T_{s} = Surrounding \ temperature\)

\(T_{0} = Initial \ temperature \ of \ the \ body\)

\(k = constant\)

From the question,

\(T_{0} = 86 ^{o}C\)

\(T_{s} = -20 ^{o}C\)

∴ \(T_{0} - T_{s} = 86^{o}C - -20^{o}C = 86^{o}C +20^{o}C\)

\(T_{0} - T_{s} = 106^{o} C\)

Therefore, the equation \(T_{(t)}= T_{s}+(T_{0} - T_{s})e^{kt}\) becomes

\(T_{(t)}=-20+106 e^{kt}\)

Also, from the question

After 1 hour, the temperature of the ice-cream base has decreased to 58°C.

That is,

At time \(t = 1 \ hour\), \(T_{(t)} = 58^{o}C\)

Then, we can write that

\(T_{(1)}=58 = -20+106 e^{k(1)}\)

Then, we get

\(58 = -20+106 e^{k(1)}\)

Now, solve for \(k\)

First collect like terms

\(58 +20 = 106 e^{k}\)

\(78 =106 e^{k}\)

Then,

\(e^{k} = \frac{78}{106}\)

\(e^{k} = 0.735849\)

Now, take the natural log of both sides

\(ln(e^{k}) =ln( 0.735849)\)

\(k = -0.30673\)

This is the value of the constant \(k\)

Now, for the temperature of the ice cream 2 hours after it was placed in the freezer, that is, at \(t = 2 \ hours\)

From

\(T_{(t)}=-20+106 e^{kt}\)

Then

\(T_{(2)}=-20+106 e^{(-0.30673 \times 2)}\)

\(T_{(2)}=-20+106 e^{-0.61346}\)

\(T_{(2)}=-20+106\times 0.5414741237\)

\(T_{(2)}=-20+57.396257\)

\(T_{(2)}=37.396257 \ ^{o}C\)

\(T_{(2)} \approxeq 37.40 \ ^{o}C\)

Hence, the temperature of the ice cream 2 hours after it was placed in the freezer is 37.40 °C

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the person above me i correct

The value of x is 40 given that the two prisms are similar.

If the two prisms are comparable, then their corresponding sides will be proportionately the same.

x / 20 =  10 / 5

x/ 20 = 2

x = 2 * 20

x = 40

Therefore, the value of x is 40 given that the two prisms are similar.

A prism is a geometric shape that has two parallel and congruent bases that are connected by a set of rectangular or parallelogram faces. When light enters a prism, it is refracted, or bent, due to the different angles of the surfaces of the prism.

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the question lack some information.

See more detail of the question on the attached image.

The standard error for the given sample of grade point average is B) 0.13.

The standard error for the given sample of grade point averages can be calculated using the formula: standard error = standard deviation / √(sample size). In this case, the standard deviation is 0.65 and the sample size is 25.

So, the standard error = 0.65 / √25 = 0.13.

Therefore, the correct answer is B) 0.13.

The standard error is a measure of the precision of the sample mean as an estimate of the population mean. It represents the average amount of variation or uncertainty we can expect in the sample mean compared to the true population mean. A smaller standard error indicates a more precise estimate of the population mean.

In this case, with a standard error of 0.13, it means that on average, the sample mean of grade point averages is expected to deviate from the true population mean by approximately 0.13. This provides an indication of the accuracy of the sample mean as an estimate of the population mean. The standard error is useful in statistical inference and hypothesis testing, as it helps determine the reliability of the sample mean in making inferences about the population.

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Answer: where is the figure tot he right???

Step-by-step explanation:

Steps:

See attachment.

Description:

The first step is to simplify the equation step by step and to simplify an equation you can first multiplying the factors and use the exponent rules to remove the parentheses. After that you need to combine it a terms. Then you will get your answer.

For more steps and graph see the attachment.

Answer: 1/12 x + 1/3

Hope this helps.

Hi!

I can help you with joy!

How to Find the Reciprocal of a Number?

\(\star\bigstar\) Simply flop the number over.

Example: Suppose we need to find the reciprocal of 2.

We flop it over and get

\(\displaystyle\frac{1}{2}\)

Thus, the reciprocal of -3 is

\(\displaystyle-\frac{1}{3}\)

Hope it helps!

Enjoy your day! :)

\(\bf{-MistySparkles^**^*\)

Answer:

Step-by-step explanation:

Answer:

The said explanation is the answer.

Step-by-step explanation:

1) Graphing the first function (y = 2x-1). When the exponents of the variables are all 1, that is there are no square, cubes, etc. the equation is a line. Then it is enough to find two points to draw it. We can calculate two points assigning a number to x and calculating the corresponding number for y. For example, when x= 0 y= 2 times 0 -1 = -1. Then the line will pass from the point (0,-1). We need a second point, we can take x=1, then y = 2 times 1 -1 = 1. The line will pass from (1,1). We can mark the two points on the plane and draw the line from these two points.  

2) Graphing the second function (y = x^2-9). A quadratic equation is of the form: ax^2+bx+c= 0. We have: y= f(x) -9. Set y=0. We have the quadratic equation: x^2-9=0. Using the algebraic identity: a^2-b^2=(a+b)(a-b). We can rewrite x^2-9=0 as x^2-3^2=0: [(x+3)(x-3)=0] - [(x+3)=0,(x-3)=0] - [x= -3, x= 3]. Hence, there are two solutions for x. So we have two x-intercepts: (-3,0) and (3,0). To find the y-intercept, set x=0: [(y = (0)^2-9=0)] - [(y=-9)]. Hence the y-intercept: (0,-9)

In conclusion, this system of equations at most has two real solutions, since two points of both functions intersect each other.

Here's the graph:

Therefore, the gradient of f is (∂f/∂x, ∂f/∂y, ∂f/∂z) = (e^(3yz), 3xze^(3yz), 3xye^(3yz)), and the directional derivative of f at point P in the direction of u is (2/3)e^3.

The gradient of a function f(x, y, z) is a vector that consists of its partial derivatives with respect to each variable.

For the given function f(x, y, z) = xe^(3yz), we can find its gradient by calculating the partial derivatives with respect to x, y, and z:

∂f/∂x = e^(3yz) (partial derivative of xe^(3yz) with respect to x)

∂f/∂y = 3xze^(3yz) (partial derivative of xe^(3yz) with respect to y)

∂f/∂z = 3xye^(3yz) (partial derivative of xe^(3yz) with respect to z)

Therefore, the gradient of f(x, y, z) is given by the vector:

∇f(x, y, z) = (∂f/∂x, ∂f/∂y, ∂f/∂z) = (e^(3yz), 3xze^(3yz), 3xye^(3yz))

Given the point P(1, 0, 3) and the direction vector u = (2/3, -1/3, 2/3), we can find the directional derivative of f at P in the direction of u by taking the dot product of the gradient and u at that point:

∇f(P) · u = (e^(3yz), 3xze^(3yz), 3xye^(3yz)) · (2/3, -1/3, 2/3) = (2/3)e^(9/3) + (3/3)(1)(0)e^(9/3) + (3/3)(1)(0)e^(9/3)

Simplifying:

∇f(P) · u = (2/3)e^3 + 0 + 0 = (2/3)e^3

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The parcel is located in the northeast quadrant of the quarter section, based on the description given, since it is in the north half of the south half, the east half of the west half, and so on.

The parcel is in the n1/2 of the s1/2 of the e1/2 of the w1/2.

The first step in finding the total acreage of the parcel is

To determine how much land is in each quadrant.

An acre is a unit of area measurement that equals 43,560 square feet, and half of a quarter section is 80 acres,

so each quadrant is 40 acres.

In each quadrant, the parcel takes up one-eighth of the total area, which is 5 acres.

As a result, the total acreage of the parcel is 5 acres.

Each lot must be at least 5 acres in size, so the number of lots is determined by dividing the total acreage by 5.

There are 1 lot in the parcel, according to this calculation.

A quadrant is any of the four sections into which a plane is divided by the x-axis and y-axis of a Cartesian coordinate system.

There are two perpendicular axes, the x-axis and the y-axis, in the Cartesian coordinate system.

The x-axis is the horizontal line, while the y-axis is the vertical line.

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The two equations are equivalent and represent the same line since the second equation can be obtained from the first equation by multiplying both sides by 3.

The given equations are:2y = x + 10 ..........(1)3y = 3x + 15 .......(2)

Let us check the properties of the equations given, we get:

Properties of equation 1:It is a linear equation in two variables x and y.

It can be represented in the form y = (1/2)x + 5.

This equation is represented in the slope-intercept form where the slope (m) is 1/2 and the y-intercept (c) is 5.Properties of equation 2:

It is a linear equation in two variables x and y.

It can be represented in the form y = x + 5.

This equation is represented in the slope-intercept form where the slope (m) is 1 and the y-intercept (c) is 5.

From the above information, we can conclude that both equations are linear and have a y-intercept of 5.

However, the slope of equation 1 is 1/2 while the slope of equation 2 is 1, thus the equations have different slopes.

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To prove that the sum of the exterior angles of any polygon is equal to 360 degrees, the Sum of interior angles = (n - 2) x 180 degrees.

we can use the following steps:

Draw any polygon and mark a point outside the polygon for each vertex.

Draw a line segment connecting each vertex to the point outside the polygon that corresponds to it, creating an exterior angle at each vertex.

Measure each exterior angle using a protractor and record the measurements.

Sum all the exterior angles together and observe the result.

We can see that the sum of all the exterior angles is always equal to 360 degrees, regardless of the number of sides or the shape of the polygon. This can be written as:

The sum of exterior angles = 360 degrees

To prove this algebraically, we can use the fact that the sum of the interior angles of any polygon is given by the formula:

Sum of interior angles = (n - 2) x 180 degrees

where n is the number of sides of the polygon. Each exterior angle is supplementary to the corresponding interior angle, so we can write:

The sum of exterior angles = Sum of interior angles (supplementary angles)

Substituting the formula for the sum of interior angles, we get:

Sum of exterior angles = (n - 2) x 180 degrees (supplementary angles)

= 180n - 360 degrees

= 360 degrees - 360 degrees + 180n

= 360 degrees - Sum of interior angles

= 360 degrees - (n - 2) x 180 degrees

= 360 degrees - 180n + 360 degrees

= 720 degrees - 180n

Since the sum of the exterior angles must be a positive value, we can take the absolute value and simplify:

|Sum of exterior angles| = |720 degrees - 180n|

= 180|4 - n|

Since n is always a positive integer greater than or equal to 3 (since a polygon must have at least three sides), we know that 4 - n is always a negative integer between -1 and -n+1. Therefore, |4 - n| is equal to n - 4. Substituting this into the equation above, we get:

|Sum of exterior angles| = 180|n - 4|

= 180(n - 4)

= 180n - 720 degrees

= 360 degrees - 360 degrees + 180n - 720 degrees

= 360 degrees - Sum of interior angles

Therefore, we have shown that the sum of the exterior angles of any polygon is equal to 360 degrees.

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