The store bought a pair of shoes for $50 and sold it for $80. What percentage was the markup?

The value of the line integral is 1/3.

To use Green's theorem to evaluate the line integral, we need first to find the curl of the vector field (M, N):

M = √(1-\(x^{3}\))dx

N = 2xydy

Taking partial derivatives of M and N with respect to x and y, respectively, we get:

∂M/∂y = 0

∂N/∂x = 2y

So the curl of (M, N) is:

curl(M,N) = ∂N/∂x - ∂M/∂y = 2y

Now we can apply Green's theorem:

∮C (M dx + N dy) = ∬R curl(M,N) dA

where C is the oriented boundary of the region R.

The region R is the triangle with vertices(0,0), (1,0), and (1,3).

We can express R as:

R = {(x,y) : 0 ≤ x ≤ 1, 0 ≤ y ≤ 3x}

The integral on the right-hand side of Green's theorem can be evaluated using iterated integrals:

∬R curl(M,N) dA

= ∫x=0..1 ∫y=0..3x 2y dy dx

= ∫x=0..1 \(x^{2}\) dx

= 1/3

So the line integral is:

∮C (M dx + N dy) = ∬R curl(M,N) dA = 1/3

Therefore, the value of the line integral is 1/3.

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Answer:

60

Step-by-step explanation:

Area = ((a+b)/2)h=((7+13)/2)*6=60

The Coordinates of point B are (-7, 10).

The coordinates of point B on the line AB, given that the midpoint of line AB is (-2, 4) and point A has coordinates (3, -2), we can use the midpoint formula.

The midpoint formula states that the coordinates of the midpoint of a line segment are the average of the coordinates of its endpoints.

Let (x1, y1) represent the coordinates of point A (3, -2).

Let (x2, y2) represent the coordinates of point B (the unknown point).

According to the midpoint formula:

Midpoint (M) = [(x1 + x2) / 2, (y1 + y2) / 2]

Substituting the given values, we have:

(-2, 4) = [(3 + x2) / 2, (-2 + y2) / 2]

Simplifying the equation, we can solve for x2 and y2:

-2 = (3 + x2) / 2   (1)

4 = (-2 + y2) / 2   (2)

To solve equation (1), we multiply both sides by 2:

-4 = 3 + x2

Then, we isolate x2:

x2 = -4 - 3

x2 = -7

To solve equation (2), we multiply both sides by 2:

8 = -2 + y2

Then, we isolate y2:

y2 = 8 + 2

y2 = 10

Therefore, the coordinates of point B are (-7, 10).

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When b is 3, the value of the expression \(2b^3 + 5\) is 59.

To evaluate the expression\(2b^3 + 5\) when b is 3, we substitute the value of b into the expression and perform the necessary calculations.

Given that b = 3, we substitute this value into the expression:

\(2(3)^3 + 5\)

First, we evaluate the exponent, which is 3 raised to the power of 3:

2(27) + 5

Next, we perform the multiplication:

54 + 5

Finally, we add the two terms:

59

Therefore, when b is 3, the value of the expression \(2b^3 + 5\) is 59.

In summary, by substituting b = 3 into the expression \(2b^3 + 5\), we find that the value of the expression is 59.

It's important to note that the provided equation has multiple possible solutions for x, but when b is specifically given as 3, the value of x is approximately 3.78.

It's important to note that in this equation, we substituted the value of b and solved for x, resulting in a specific value for x. However, if we wanted to solve for b given a specific value of x, we would follow the same steps but rearrange the equation accordingly.

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Part a: margin of error = 1.93.

Part b: confidence interval is (19.59, 23.45)

Part a: margin of error,

The sample size is 64 customers, the population standard deviation is 6, and the confidence level is 99%.

Mean sample = 21.52

Sample size = 64

Confidence level = 99%

Standard deviation = 6

Standard error of mean= 0.75

Z-value= -2.5758 (Taken from Z table)

Interval half width = 1.9319

The output has a margin of error of 1.93 at 99% confidence.

Part b: mean amount spent for lunch.

Interval upper limit= 19.59

Interval lower limit= 23.45

99% confidence interval is (19.59, 23.45) from the output.

Mean amount = 23.45 + 19.59 / 2

Mean amount = 1.93

Thus, the mean amount spent on lunch is 1.93.

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The compete question is-

Data were collected on the amount spent by 64 customers for lunch at a major Houston restaurant. These data are contained in the file named Houston. Based upon past studies the population standard deviation is known with = $6.

Click on the datafile logo to reference the data.

Round your answers to two decimal places.

a. At 99% confidence, what is the margin of error?

b. Develop a 99% confidence interval estimate of the mean amount spent for lunch.

The firm's output when marginal revenue is equal to zero is 1 million. Hence, the answer is option a. 1.

To find the firm's output when marginal revenue (MR) is equal to zero, we need to first understand the relationship between the demand curve and marginal revenue.

The marginal revenue (MR) is the change in total revenue resulting from producing and selling one additional unit of output. In this case, the total revenue (TR) is the product of quantity (Q) and price (P), so we have TR = QP.

To find the marginal revenue, we can take the derivative of the total revenue function with respect to quantity:

MR = d(TR)/dQ

Using the given demand curve Q = 2 - 0.01P, we can express price (P) in terms of quantity (Q) as P = 200 - 100Q (by rearranging the equation).

Substituting this price expression into the total revenue function, we have:

TR = QP = Q(200 - 100Q) = 200Q - 100Q^2

Now, we can find the marginal revenue by taking the derivative of the total revenue function with respect to quantity (Q):

MR = d(TR)/dQ = 200 - 200Q

To find the output level when MR is equal to zero, we set MR = 0 and solve for Q:

0 = 200 - 200Q

200Q = 200

Q = 200/200

Q = 1

Therefore, the firm's output when marginal revenue is equal to zero is 1 million. Hence, the answer is option a. 1.

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original equation

\(\frac{x}{2}-\frac{3x}{4}+\frac{x}{6}=-\frac{2}{3}\)

multiply by lcd

\(12(\frac{x}{2})-12(\frac{3x}{4})+12(\frac{x}{6}) =-12(\frac{2}{3})\\\\6x-9x+2x=-8\)

isolate for x

\(-1x=-8\\\\x=8\)

verify

\(\frac{8}{2}-\frac{3(8)}{4}+\frac{8}{6}=-\frac{2}{3}\\\\4-6+\frac{4}{3}=-\frac{2}{3}\\\\4-2+\frac{4}{3}=-\frac{2}{3}\\\\-\frac{2}{3}=-\frac{2}{3}\\\\LS=RS\)

Answer:

both 20 and 12 but, 12 can be more accurate. Depends on your teacher's point of view.

please mark as brainliest

The amplitude of this function is 3.

Answer:

yes they are rational

Step-by-step explanation:

in mathematics rule numbers that are positive are usually in rational form❤

The solution to the algebraic equation is x = 1. The last option is correct.

The solution to a linear algebraic equation can be achieved by finding the like terms and equating them to the constant variable.

From the given information:

8 - 2x = -8x + 14

-2x + 8x = 14 - 8

6x = 6

x = 1

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Answer:

ok

Step-by-step explanation:

Answer:

\(218 \times 6 \: is \: the \: product \: between \: \\ the \: two \: values \: which \: is \: = 1308.\)

Answer:

A: x=6

Step-by-step explanation:

If x is equal to 6, then -3 multiplied by 6 would be equal to 18.

Then you take that 18 and subtract it from 36.

36-18=18

Answer:

10 tables is the answer

Step-by-step explanation:

I did IXL and got it correct

Answer:

t = 8.69 s

Step-by-step explanation:

The height h of the rocket in feet above the surface of the lake can be modeled by :

\(h=340+100t-16t^2\)

Let we need to find the time to reach the ground. When it reach the ground, h = 0

\(340+100t-16t^2=0\)

We need to find the value of t.

t = 8.69 s and -2.45 s

Neglecting negative value,

t = 8.69 s

Hence, it will take 8.69 s to reach the ground.

After reducing all the book prices by 50%, the new median price is determined to be $7.70 (B)

To find the new median price after reducing all the book prices by 50%, we first need to calculate the reduced prices. By reducing each given price by 50%, we get $6.375, $7.40, $9.995, $4.975, $8.00, and $8.975 respectively.

Next, we arrange these reduced prices in ascending order: $4.975, $6.375, $7.40, $8.00, $8.975, and $9.995. The median is the middle value in this ordered list. Since there are six prices, the middle two values are $7.40 and $8.00.

To find the median, we take the average of these two values, which gives us ($7.40 + $8.00) / 2 = $7.70.

Therefore, the new median price, after reducing all the book prices by 50%, is $7.70 (B). This means that the median price of the books, after the reduction, is $7.70.

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To complete the double reflection transformation over the lines x = 1 and x = 3, we need to reflect each point twice.

For point a(-5,2), the first reflection over x = 1 will give us a'(-9,2).

The second reflection over x = 3 will give us a"(-7,2).
For point b(-1,5), the first reflection over x = 1 will give us b'(-3,5).

The second reflection over x = 3 will give us b"(-5,5).
For point c(0,3), the first reflection over x = 1 will give us c'(2,3).

The second reflection over x = 3 will give us c"(4,3).
So, the coordinates after the double reflection transformation are:
a"(-7,2), b"(-5,5), and c"(4,3).

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The expression 2^7 times 19 can be simplified by first evaluating the exponential term, 2^7, which is equal to 128. Therefore:2^7 times 19 = 128 * 19We can then evaluate the product of 128 and 19 using multiplication. When we do that, we get:2^7 times 19 = 2432Therefore, the choice that is equivalent to the expression 2^7 times 19 is 2432

Answer:

n=95

Step-by-step explanation:

To find the angles inside the triangle, subtract the outside angle from 180 to get the inside angle:

180 - 121 = 59

180 - 144 = 36

Then add these values together and subtract that from 180 to get the missing angle corresponding (next to) angle n:

180 - ( 59 + 36 )

180 - 95 = 85

Then subtract that value from 180 to get the value of angle n:

180 - 85 = 95

Answer is 95.

Hope it helps...

Note that the angles of the triangle whose vertexes are the centers of the circles are  50.48°, 58.99°, 70.53°.

Three circles with radii 4, 5, and 6 from a triangle whose sides are the sum of their radii in pairs.

Thus, the sides of the triangle are

4 + 5, 4 + 6, and 5+6.

⇒ 9,, 10, 11.

To find the interior angles

CosC = a² + b² + c²/ 2ab

Cost C = (9² + 10² -11²) / (2 x9x10)

= 81 + 100 -121/180

= 60/180

= 1/3

C = 70.53°

Similar

Cos A =  (10² + 11² - 9²) / (2 x10x11)

= 100 + 12181 + /180

= 140/220

= 7/11

A = 50.48°

Cos B = 9² + 11² - 10²/ 2x 9 x 11

= 102/198

B = 58.99°

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Full Question:

Although part of your question is missing, you might be referring to this full question:

See attached image.

Answer:

-18 C°

Step-by-step explanation:

Warmed means add cooled means subtract

starting at -23 it warmed by 8 add 8

-15

it warmed by 3 more add 3

-12

then it cooled by 6 subtract 6

-18

Answer: I hope this helps^-^

Find the roots of (x+4)2=0 by solving for x

x=−4

Step-by-step explanation:

As given by the question

There are given that the system of equation:

Now,

Multiply by 5 with the equation (1) and multiply by 3 with the equation (2)

Then,

Now,

Subtract equation (4) from equation (3)

So,

Then,

Put the value of y into the equation (1)

So,

Hence, the answer as an ordered pair is (1, -1).

Answer:

6 cm

13 cm

14 cm

Step-by-step explanation:

a) length of AC

= 3² + 5²

= √36

= 6 cm

b) length of BG

= 5 cm + 8 cm

= 13 cm

c) length of BF

= 6 cm + 8 cm

= 14 cm

The solution set can be written in parametric vector form as: \(X = x3 [-1 0 1]^T + x2 [-2 1 0]^T\)

We can rewrite the system of equations in matrix form as AX = 0, where \(A =[2 2 4]\\[-4 -4 -8]\\[0 -3 -9]\)

\(X = [x1 x2 x3]^T\)

To solve for the solution set, we can row reduce the augmented matrix \([A|0].\\[2 2 4|0]\\[-4 -4 -8|0]\\[0 -3 -9|0]\)

\([2 2 4|0]\\[0 0 0|0]\\[0 -3 -9|0]\)

\([2 2 4|0]\\[0 0 0|0]\\[0 1 3|0]\)

\([2 2 4|0]\\[0 0 0|0]\\[0 1 3|0]\)

\([1 1 2|0]\\[0 0 0|0]\\[0 1 3|0]\)

Therefore, the system has two free variables, x2 and x3, while x1 is a pivot variable. where x2 and x3 are arbitrary constants.

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Answer:

\({ \tt{C - 9 \geqslant 9}} \\ \\ { \tt{C \geqslant 9 + 9}} \\ \\ { \rm{answer}} : \: { \tt{C \geqslant 18}}\)

Answer: Vegan student gets 9/5 cheese slices

The rest of the 4 students get each: 5/5 slices of pepperoni + 1/2 slice of Pepperoni + 3/10 slice of cheese.

Step-by-step explanation:

6 slices of Pepperoni + 3 slices of cheese = 9 slices total.  We need to divide the slices among 5 students, 1 is vegan.

9 divided by 5 = 1 and 4/5 slices or  9/5 slices.

The 9 slices make 45/5 slices.

3 slices of cheese = 15/5 slices.

6 slices of pepperoni = 30/5 slices.

Vegan student gets 9/5 cheese slices. Leaving 6/5 slices or 12/10 slices of cheese, 12/10 divided by 4=3/10

The rest of the 4 students get each: 5/5 slices of pepperoni + 1/2 slice of Pepperoni + 3/10 slice of cheese.

5/5=10/10, 1/2=5/10, 3/10  

10/10 + 5/10 + 3/10 = 18/10=9/5 slices each person.

Answer: -8x^2 -2x+13

Step-by-step explanation:

group liked terms

-6x^2-2x^2-2x+5+8

Add numbers 5+8=13

-6^2-2x^2-2x+13

add similiar elements -6x^2-2x^2=-8x^2

-8x^2 -2x+13