What are the coordinates of point J’ after the rotation?

The monopoly price will be given as 110 dollars per unit. Then the total surplus will be 4800 dollars.

The figure below illustrates the market for steel.

If the steel market is competitive, firms can produce steel at a constant marginal cost of $100 per ton.

Therefore, the price of steel is $100 per ton, and 100 tons are produced.

Assume that if all the steel companies consolidate into a monopoly, the monopoly’s marginal cost will fall to $70 per ton.

If the market is controlled by a monopoly, the total surplus will be

The demand curve has to be defined the demand curve will be

P = 150 - 0.5Q

Total revenue, TR = 150Q - 0.5Q^2

MR = 150 - Q

MC = $ 70

The monopolist will maximize profit at MR = MC

150 - Q = 70

=> Q = 80 units

Monopoly price, P = 150 - 0.5 × 80 = $ 110 / unit

Total surplus = (1/2)×(150-110)×80+(110-70)×80

= 1,600 + 3,200

= $ 4,800

The graph is given below.

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The simulation of the customer visit is an illustration of probability

The probability that a customer would visit the coffee shop at least 5 times to win a gift card is  [tex](\frac {11}{12})^{n} - (\frac n{12}) * (\frac {11}{12})^{n - 1} - .......... - ^nC_4 * (\frac 1{12})^4 * (\frac {11}{12})^{n - 4}[/tex]

From the question, we understand that every 12th customer gets a $5 gift card.

This means that the probability that a customer gets a gift card is:

p = 1/12

The probability that a customer would visit the coffee shop at least 5 times to win a gift card is calculated using the following complement rule:

P(x ≥ 5) = 1 - P(x <5)

The equation becomes

P(x ≥ 5) = 1 - P(0) - P(1) - P(2) - P(3) - P(4)

Using the binomial formula

[tex]P(x) = ^nC_x * p^x * (1 - p)^{n - x}[/tex]

The equation becomes

[tex]P(x \ge 5) = ^nC_0 * (\frac 1{12})^0 * (1 - \frac 1{12})^{n - 0} - ^nC_1 * (\frac 1{12})^1 * (1 - \frac 1{12})^{n - 1} - .......... - ^nC_4 * (\frac 1{12})^4 * (1 - \frac 1{12})^{n - 4}[/tex]

Simplify

[tex]P(x \ge 5) = (\frac {11}{12})^{n} - (\frac n{12}) * (\frac {11}{12})^{n - 1} - .......... - ^nC_4 * (\frac 1{12})^4 * (\frac {11}{12})^{n - 4}[/tex]

Hence, the estimate that a customer would visit at least 5 times is [tex]P(x \ge 5) = (\frac {11}{12})^{n} - (\frac n{12}) * (\frac {11}{12})^{n - 1} - .......... - ^nC_4 * (\frac 1{12})^4 * (\frac {11}{12})^{n - 4}[/tex]

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the answers is D cuz there is no line in the picture

Answer:

7

Use tables to confirm you answer'

Answer:

0.4 or [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

James spun the arrow 30 times which means 30 is the total. In other words, it's your denominator ([tex]\frac{x}{30}[/tex]). It landed on the blue section 12 times which means 12 is the part of the whole. In other words, it's your numerator ([tex]\frac{12}{y}[/tex]). Plug in the entire fraction and you get [tex]\frac{12}{30}[/tex]. Divide 12 by 30 and you get 0.4 or if you divide both the numerator & denominator by 6, you get [tex]\frac{2}{5}[/tex]. Either one works, depending on what your question asks for.

Answer: Cosec 2 A + Cot 4 A = Cosec 4 A - Cot 2 A

Step-by-step explanation:

Taking LHS  :

⇒Cosec 2 A + Cot 4 A

⇒Cosec 2 A + ( Cot 2 A )2

⇒Cosec 2 A + ( Cosec 2 A - 1 )2  (  we know : 1 + Cot 2 θ =  Cosec 2 θ )

⇒Cosec 2 A +  Cosec 4 A  + 1  - 2 Cosec 2 A

⇒ Cosec 4 A  + 1  - Cosec 2 A

⇒ Cosec 4 A  + 1  - ( 1 + Cot 2 A)

⇒ Cosec 4 A  + 1  -  1 - Cot 2 A

⇒ Cosec 4 A  - Cot 2 A

or cosec2A+cosec4A=cotA-cot4A

Answer:

245 Sq inches

Step-by-step explanation:

Surface area of the solid

= 7*7 + 4(1/2 * 7*14)

= 49 + 196

= 245 sq in

Answer:

1<x<2

Step-by-step explanation:

1. Subtract 1 from everywhere ⇒ 2<2x<4

2. Divide by 2 everywhere ⇒ 1<x<2

Step-by-step explanation:

lnx² - lny³ - lnz⁴

2lnx - 3lny -4lnz

We will see that the equation has only one solution, so the correct option is B.

For an equation of the form:

p(x) = C

Where p(x) is an expression that depends on x, and C is a constant.

The solutions are all the values of x that make the equality true.

For our case, we have:

x = -5

Notice that there is only one value of x that makes the equality true, if we replace x by -5 we get:

-5 = -5

So that is the only solution for the equation, then we conclude that the equation has only one solution, and the correct option is B.

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The dot plot is made by representing the frequency of the time spent exercising using dots

Kristin spends more time exercising than her friends

The dataset is given as:

0   6   5   9   5   4   3   5   4   6   4   5   5   4   6

From the dataset, we have the following frequency table:

Time   Frequency

0           1

3           1

4           4

5           5

6          3

9          1

See attachment for the dot plot made from the above frequency table

From the dot plot, we can see that Kristin's time of exercise is greater than all of her friend's time of exercise.

Hence, Kristin spends more time exercising than her friends

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Answer:

Step-by-step explanation:

GIVEN:

In order to solve this, you need to isolate the term x on one side of the equation.

First, combine like terms.

[tex]\Longrightarrow: \sf{8x+16x+21=25x+19}[/tex]

Solve.

8x+16x=24x

[tex]\Longrightarrow: \sf{24x+21=25x+19}[/tex]

You have to subtract by 21 from both sides.

[tex]\Longrightarrow: \sf{24x+21-21=25x+19-21}[/tex]

Solve.

[tex]\Longrightarrow: \sf{24x=25x-2}[/tex]

Subtract by 25x from both sides.

[tex]\Longrightarrow: \sf{24x-25x=25x-2-25x}[/tex]

Solve.

-x=-2

Then, you divide by -1 from both sides.

[tex]\Longrightarrow: \sf{\dfrac{-x}{-1}=\dfrac{-2}{-1}}[/tex]

Solve.

Divide the numbers from left to right.

[tex]\sf{\dfrac{-2}{-1}=2 }[/tex]

SOLUTIONS:

[tex]\Longrightarrow: \boxed{\sf{x=2}}[/tex]

I hope this helps. Let me know if you have any questions.

Answer:

[tex]x = 2[/tex]

Given equation:

Combine like terms on the L.H.S and simplify the expression as needed.

Now, rewrite 25x in such a way such that 24x can be repeated on both sides. Clearly, we can rewrite 25x as 24x + x. Then,

Since 24x is being repeated on both sides, we can cancel it.

Finally, subtract 19 on both sides to isolate x.

Therefore, the value of x is 2.

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And

So

Perimeter:-

Answer:

104 inches

Step-by-step explanation:

A kite has two pairs of consecutive, congruent sides.

Therefore, BC = AB  and  AD = DC

We can use this to determine the values of x and y, and then the perimeter of the kite.

If BC = AB

⇒ 5x = 3x + 12

Subtract 3x from both sides:

⇒ 2x = 12

Divide both sides by 2

⇒ x = 6

If AD = DC

⇒ 11y - 22 = 7y - 6

Subtract 7y from both sides:

⇒ 4y - 22 = -6

Add 22 to both sides:

⇒ 4y = 16

Divide both sides by 4:

⇒ y = 4

As BC = AB  and  AD = DC

⇒ perimeter = 2 (BC + AD)

                     = 2 (5x + 11y - 22)

Substituting found values of x and y:

⇒ perimeter = 2 (5(6) + 11(4) - 22)

                     = 2 (30 + 44 - 22)

                     = 2 (52)

                     = 104 inches

Answer:

c )

Step-by-step explanation:

To find equivalent inequalities, we are looking to isolate x on the left side.

a) x < 4 ✅

b) x -1 < 3 add 1 to both sides  x -1 +1 < 3 +1 result x < 4 ✅

c) x + 1 < 4 subtract 1 from both sides x + 1 -1 < 4 -1 result x < 3 ❌

d) x - 2 < 2 add 2 to both sides x - 2 +2 < 2+2 result x < 4 ✅

Answer: -14 < 1 < 3< 13

Step-by-step explanation:

This is the order from the lowest to greatest

Answer:

its called a Quadrilateral

Step-by-step explanation:

Answer:

Quadrilateral, parallelogram

Answer:

1 and 2/3 hours (One hour and 40 minutes.)

Step-by-step explanation:

Karen has 3 and 1/3 hours.

She spends 1 and 2/3 hours at the store.

3 and 1/3 - 1 and 2/3 = 1 and 2/3 or 5/3 is the time she had left after being at the grocery store.

Because the rest of the time was spent at the library, that is your answer.

Answer:

See below ~

Step-by-step explanation:

Answer:

Hello! The solution to this linear equation is 0 = 0. To find this solution:

Distribute -

8 - 2(4v+6) = -4 - 8v

8 - 8v - 12 = 14 - 8v

Subtract the numbers -

8 - 8v - 12 = -4 - 8v

-4 - 8v =  -4 - 8v

Rearrange terms -

-4 - 8v = -4 - 8v

-8v - 4 = -4 - 8v

Rearrange terms -

-8v - 4 = -4 - 8v

-8v - 4 = -8v - 4

Add 4 to both sides -

-84v - 4 = -8v - 4

-8v - 4 + 4 = -8v - 4 + 4

Simplify -

-8v - 4 + 4 = -8v - 4 + 4

-8v = -8v - 4 + 4

-8v = -8v

Add 8v to both sides -

-8v = -8v

-8v + 8v = -8v + 8v

Combine like terms and simplify -

-8v + 8v = -8v + 8v

0 = -8v + 8v

0 = 0

The solution is 0 = 0. This is an identity: it is true for all values.

Hope this helps! Have a great day.

Answer:

a = 5

Step-by-step explanation:

a^2 + b^2 = c^2

Substitute

b = 12

c = 13

a^2 + 12^2 = 13^2

a^2 + 144 = 169

a^2 = 25

a = [tex]\sqrt{25} \\[/tex]

a = 5

Mark brainliest please!

Answer:

use Pythagoras theorem

Step-by-step explanation:

[tex]a^{2} + b ^{2} = c ^{2} \\ a ^{2} + 12 ^{2} = 13 ^{2} \\ a = 5[/tex]

The solution to the equation is x = 2 , x = 1/2

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

( 2x - 4 ) ( 2x - 1 ) = 0

So , the two values of x are

when ( 2x - 4 ) = 0

Adding 4 on both sides , we get

2x = 4

Divide by 2 on both sides , we get

x = 2

And , when ( 2x - 1 ) = 0

Adding 1 on both sides , we get

2x = 1

Divide by 2 on both sides , we get

x = 1/2

Hence , the solution is x = 2 , 1/2

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Answer:

C

Step-by-step explanation:

Remark

The zeros are found either by using the quadratic equation or by factoring and equating the factors to 0. I think factoring is the best and simplest way.

Solution

x^2 - 5x + 6 factors into

(x - 3)(x - 2)

-3 and - 2 must multiply to 6 (they do) -3 * -2 = 6

-3 and -2 must also add to - 5. They do. -3 - 2 = - 5

So the factors are correct.

x - 3  = 0

x - 3 + 3 = 0 + 3

x = 3

x-2 = 0

x -2 + 2 = 0 + 2

x = 2

Answer

x = 2 and x = 3

The answer is C

The correct order which shows the standard deviations of the data sets A,B and C in order from greatest to least is C, B, A.

Suppose that

[tex]x_i; \: \: i = 1,2, ... ,n[/tex] are n data values for the given data set.

Then we have: Variance as,

[tex]\sigma^2 = \dfrac{\sum_{\forall x_i} (x_i - \overline{x})^2}{n}[/tex]

As standard deviation is the positive root of variance, thus,

[tex]\sigma = \sqrt {\dfrac{\sum_{\forall x_i} (x_i - \overline{x})^2}{n}}[/tex]

If its sample, we divide by n-1 instead of n

Use data sets A, B, and C to answer the question that follows.

The mean of the set A is,

[tex]\overline{x}_A=\dfrac{25+24+ 25+ 22+ 21+23+ 1}{7}=20.143[/tex]

Similarly, the mean of set B and C is,

[tex]\overline{x}_B=\dfrac{20+ 23+ 25+ 21+ 24+ 22+ 60}{7}=27.857\\\overline{x}_C=\dfrac{20+21+ 20+ 22+ 20+ 24+ 99}{7}=32.286[/tex]

The standard deviation of the set A is,

[tex]\sigma_A = \sqrt {\dfrac{(25-20.143)^2+(24-20.143)^2......+(1-20.143)^2}{7}}\\\sigma_A = 7.936[/tex]

Similarly, the standard deviation of set B and C is,

[tex]\sigma_B = \sqrt {\dfrac{(20-27.857)^2+(23-27.857)^2......+(60-27.857)^2}{7}}= 13.217\\\sigma_C = \sqrt {\dfrac{(20-32.286)^2+(21-32.286)^2......+(99-32.286)^2}{7}}= 27.27[/tex]

The value of standard deviation of set C is the highest while set A is lowest.

Thus, the correct order which shows the standard deviations of the data sets A,B and C in order from greatest to least is C, B, A.

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125.66

You can turn the diameter into radius by dividing it by 2, then multiply that by 3.14 and 2!

Hope I could help.

C=2pie(r)

Answer:

4

Step-by-step explanation:

You have to use Pythagorean Theory which states that a^2+b^2=c^2

It means that:

3^2+b^2=5^2

b^2=25-9

b = root of 16 (25-9=16)

b = 4

I hope that I helped :)

Answer:

2.25 long of riding a bicycle

Answer:

2.25

Step-by-step explanation:

Answer:

You can find and write the equations in Slope-Intercept form due to the slope and y-intercept.

Step-by-step explanation:

The Slope-Intercept Form Formula: y=mx+b

The m represents the slope while the b represents the y-intercept

You can also use y2 - y1 / x2 - x1 to find the slope which is the m in your formula.

Lastly, to find a y-intercept, you can plug in your coordinate for the x and y to do two-step linear equations.

is it c

(what is the scale)

Answer:

13.83431104

Step-by-step explanation:

use sin (opposite/hypotenuse) and solve

Answer: 6

Step-by-step explanation: You would divide 4 by 3 and divide your answer by 2.