The figure above shows the U.S. demand and supply curves for cherries. Suppose the world price of cherries is $2 per pound. How many pounds of cherries would be exported to the rest of the world?

Answer:

(0.3478, 0.5522)

Step-by-step explanation:

Given:

Total number of red marbles, x = 45

Total number of marbles, n = 100

Phat = x / n = 45 / 100 = 0.45

The confidence interval, C.I is given by :

Phat ± Zcritical * standard error

Phat ± Zcritical * √Phat(1 - Phat) / n

Zcritical at 96% = 2.0537

The standard error = √Phat(1 - Phat) / n

S.E = √(0.45 * 0.55) / 100 = 0.0497493

C.I = 0.45 ± (2.0537 * 0.0497493)

C.I = 0.45 ± 0.10217013741

C. I = (0.3478, 0.5522)

We have that the area of the circle with a radius of 6.3mm is the following:

The area is a

The measure of the arc or angle is:

m∠NLM = 60 deg

From the given figure, line LN is the diameter. Thus, the measure of arc LN is 180° (semicircle).

Thus, we can say:

arc NM + arc ML = 180°

(3x + 21) + (8x + 16) =  180°

11x + 37 = 180

11x = 180 - 37

11x = 143

x = 143/11

x = 13

arc NM = 8x + 16

put x = 13:

arc NM = 8(13) + 16 = 120°

Recall that:

The measure of inscribed angle is half the measure of its intercepted arc. That is:

m∠NLM = 1/2 * 120°

m∠NLM = 60°

Learn more about inscribed angles on:

brainly.com/question/30289513

#SPJ1

Answer:3c + 18d brainless pls

Step-by-step explanation:First, eliminate the parenthesis by multiplying each term within the parenthesis by the term outside the parenthesis:

3

(

5

c

+

4

d

)

+

6

(

d

−

2

c

)

⇒

(

3

⋅

5

c

)

+

(

3

⋅

4

d

)

+

(

6

⋅

d

)

−

(

6

⋅

2

c

)

⇒

15

c

+

12

d

+

6

d

−

12

c

Next, group like terms:

15

c

−

12

c

+

12

d

+

6

d

Now, combine like terms:

(

15

−

12

)

c

+

(

12

+

6

)

d

3

c

+

18

d,

Given:

\(\to 5c + d = c+ 4d\)

To find:

c:d=?

Solution:

\to 5c + d = c+ 4d

simulating the identical terms:

\(\to 5c -c = 4d-d\\\\\to 4c = 3d\\\\\to \frac{c}{d} = \frac{3}{4}\\\\\therefore\\\to c:d= 3:4\)

so, the ratio is 3:4

Learn more about the ratio:

brainly.com/question/4534527

Answer:

A

Step-by-step explanation:

consider the coordinates of points C and A

C (4, - 1 ) and A (- 3, 2 )

4 → - 3 in the x- direction is - 7

- 1 → 2 in the y- direction is + 3

then the translation rule is

(x, y ) → (x - 7, y + 3 )

Answer:

Ethan is the correct answer

The statement Y = {u: (z X)uez) = U{z: zEX}=UX, means that the set Y is the union of all the sets z that are elements of X. In other words, Y is the set of all elements that are in at least one of the sets in X.

The statement can be broken down into two parts:

The first part, Y = {u: (z X)uez), says that Y is the set of all elements u such that u is an element of at least one set z that is an element of X.

The second part, U{z: zEX}=UX, says that the union of all the sets z that are elements of X is equal to the set UX.

The two parts of the statement can be combined to say that Y is the union of all the sets z that are elements of X.

Learn more about set on

https://brainly.com/question/2166579

#SPJ1

For given triangle, x is 4√5 using Pythagorean theorem.

What is Pythagorean Theorem?

Pythagoras Theorem (also known as Pythagorean Theorem) is a mathematical concept that explains the relationship between the sides of a right-angled triangle. The sides of a right triangle are also referred to as Pythagorean triples. This theorem's formula and proof are discussed with examples here.

The Pythagorean theorem is used to calculate the length of an unknown side and the angle of a triangle. We can deduce the base, perpendicular, and hypotenuse formulae from this theorem.

The Pythagoras Theorem formula is presented in the definition as:

Perpendicular² + Base² = Hypotenuse²

c² = a² + b²

Now,

Given that perpendicular =19

Hypotenuse=21

then Base²=21²-19²  using Pythagoras theorem

Base=√441-361

=√80

=4√5

Hence,

          x is 4√5

To know more about Pythagorean theorem visit the link

https://brainly.com/question/343682?referrer=searchResults

#SPJ1

Will ran down the street to catch the bus.

Hope this helps, thanks,

CoDBiarex

Answer:

After basketball practice Julie hit the books.

Step-by-step explanation:

Informal English often uses slang words that not everyone understands.

When we evaluate the given expression, A/5 + √(B - C), the result obtained is 9 (option B)

First, we shall determine the value of A. Details below:

Quadratic equation is expressed as:

x² - (sum of root)x + product of root

Comparing the above with x² - 11x + 30, we have

x² - 11x + 30 = x² - (sumof root)x + product of root

Product of roots = 30

Thus,

A = 30

Next, we shall determine the value of B. details below:

f(x) = x² + 5

f(2) = 2² + 5

f(2) = 9

Thus,

B = 9

Next, we shall determine the value of C. Details below:

Let

x + 4 = 0

Thus,

x = -4

Substitute the value of x into x² - 2x - 24 to obtain the remainder as shown below:

Remainder = x² - 2x - 24

Remainder = (-4)² - 2(-4) - 24

Remainder = 0

Thus,

C = 0

Finally, we shall determine value of A/5 + √(B - C). Details below:

A/5 + √(B - C) = 30/5 + √(9 - 0)

A/5 + √(B - C) = 6 + √(9

A/5 + √(B - C) = 6 + 3

A/5 + √(B - C) = 9

Thus, the value of A/5 + √(B - C) is 9 (option B)

Learn more about algebraic expression:

https://brainly.com/question/12518138

#SPJ1

Answer:

The  test statistic is  \(t = 3.744\)

Step-by-step explanation:

From the question we are told that

  The population mean is  \(\mu = 140\)

  The  The  level of significance is  \(\alpha = 0.05\)

  The  sample size is  n =  18

   The  null hypothesis is  \(H_o : \mu = 140\)

    The  alternative hypothesis is  \(H_a : \mu > 140\)

    The sample mean is  \(\= x = 155\)

     The  standard deviation is  \(\sigma = 17\)

Generally the test statistics is mathematically represented as

       \(t = \frac{\= x - \mu }{ \frac{ \sigma}{ \sqrt{n} } }\)

substituting values

      \(t = \frac{ 155 - 140 }{ \frac{ 17 }{ \sqrt{18} } }\)

      \(t = 3.744\)

The meaning of the point with an x-coordinate of 2 is in 2 seconds, the commuter travels 120 feet.

An equation is an expression that shows the relationship between two or more numbers and variables.

Independent variables represent function inputs that do not depend on other values, while dependent variables represent function outputs that depends on other values.

From the graph, the x coordinate 2, have a y coordinate of 120. Hence:

The meaning of the point with an x-coordinate of 2 is in 2 seconds, the commuter travels 120 feet.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

option D is the correct answer. The length of the corresponding side in polygon D is 2 inches.

As it is given that the polygon is similar

That means that the ratio of the perimeter of the polygon will be equal to the ratio of the corresponding sides.

perimeter of polygon C/Perimeter of polygon D = side of C/side of D

⇒ 192/48=8/length of the corresponding side(let us consider x)

⇒ 192/48=8/x ⇒ x = 8*48/192 = 2 inches.

Hence, the length of the corresponding side in Polygon D is 2 inches.

Therefore, option D is the correct answer.

learn more about polygon here:

https://brainly.com/question/10441863

#SPJ9

Answer: The equation used to find the value of x is 5x - 4 = 3x + 10. The value of x is determined to be 7.

Step-by-step explanation:

Four less than the product of a number (x) and 5 = 5x - 4

8 more than 2 added to 3 times the number = 3x + 2 + 8 = 3x + 10

Four less than the product of a number (x) and 5 is equal to 8 more than 2 added to 3 times the number => 5x - 4 = 3x + 10

                                                         5x - 3x = 10 + 4

                                                         2x = 14

                                                         x = 14/2

                 therefore,                      x = 7

To know more about Algebra,

https://brainly.com/question/28871326

Dilation with center at origin is given by the formula

So, in this case, you have

You can see that the value of k is 2 because

Finally, since k > 1 then the dilation is an enlargement.

Answer:

\(8x-38\)

Step-by-step explanation:

\(3(x-6)+5(x-4)\\3x-18+5x-20\\3x+5x-18-20\\8x-38\)

If Q is an orthogonal matrix with an eigenvalue λ1 = 1, then x, the eigenvector corresponding to λ1, is also an eigenvector of QT with an eigenvalue λ2 = λ1 * (QT * x).

To show that x is also an eigenvector of QT, we need to demonstrate that QT * x is a scalar multiple of x.

Given that Q is an orthogonal matrix, we know that QT * Q = I, where I is the identity matrix. This implies that Q * QT = I as well.

Let's denote x as the eigenvector corresponding to the eigenvalue λ1 This means that Q * x = λ1 * x.

Now, let's consider QT * x. We can multiply both sides of the equation Q * x = λ1 * x by QT:

QT * (Q * x) = QT * (λ1 * x)

Applying the associative property of matrix multiplication, we have:

(QT * Q) * x = λ1 * (QT * x)

Using the fact that Q * QT = I, we can simplify further:

I * x = λ1 * (QT * x)

Since I * x equals x, we have:

x = λ1 * (QT * x)

Now, notice that λ1 * (QT * x) is a scalar multiple of x, where the scalar is λ1. Therefore, we can rewrite the equation as:

x = λ2 * x

where λ2 = λ1 * (QT * x).

This shows that x is indeed an eigenvector of QT, with the eigenvalue λ2 = λ1 * (QT * x).

In conclusion, if Q is an orthogonal matrix with an eigenvalue λ1 = 1, then x, the eigenvector corresponding to λ1, is also an eigenvector of QT with an eigenvalue λ2 = λ1 * (QT * x).

for more such question on matrix visit

https://brainly.com/question/2456804

#SPJ8

Answer:

The time is 2 years

Step-by-step explanation:

we know that

The simple interest formula is equal to

A=P(1+rt)

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t= ? years

P= $600

A= $600 + $84 = $684

r = 0.07

substitute in the formula above

$684 = $600(1+(0.07)t)

solve for t

t = [(684/600) - 1]/0.07 = 2 years

The area of the Region bounded by y = √x, y = 2-x², and y = -√2x is $\frac{32}{15}$.

To find the area of the region bounded by y = √x, y = 2-x², and y = -√2x, we need to graph the equations and determine the points of intersection. Then we can integrate to find the area.

Firstly, we'll graph the equations and find the points of intersection:

y = √xy = 2-x²y = -√2xGraph of y = √x, y = 2-x², and y = -√2xWe need to solve for the points of intersection, so we'll set the equations equal to each other and solve for x:√x = 2-x²√x + x² - 2 = 0Let's substitute u = x² + 1:√x + u - 3 = 0√x = 3 - u

(Note: Since we squared both sides, we have to check if the solution is valid.)u = -2x²u + x² + 1 = 0 (substituting back in for u

)Factoring gives us:u = (1, -2)We can then solve for x and y:x = ±1, y = 1y = 2 - 1 = 1, x = 0y = -√2x = -√2, x = 2y = 0, x = 0Graph of y = √x, y = 2-x², and y = -√2x with points of intersection to find the area, we need to integrate.

The area is bounded by the x-values -1 to 2, so we'll integrate with respect to x:$$\int_{-1}^0 (2 - x^2) - \sqrt{x} \ dx + \int_0^1 \sqrt{x} - \sqrt{2x} \ dx$$

We can then simplify and integrate:$$\left[\frac{2x^3}{3} - \frac{2x^{5/2}}{5/2} + \frac{4}{3}x^{3/2}\right]_{-1}^0 + \left[\frac{2x^{3/2}}{3} - \frac{4x^{3/2}}{3}\right]_0^1$$$$= \frac{4}{3} + \frac{4}{3} - \frac{4}{15} + \frac{4}{3} - \frac{4}{3}$$$$= \frac{32}{15}$$

Therefore, the area of the region bounded by y = √x, y = 2-x², and y = -√2x is $\frac{32}{15}$.

For more questions on Region .

https://brainly.com/question/31408275

#SPJ8

Answer:

-2

Step-by-step explanation:

2-4=-2

Answer:

true

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Answer:

36° , 54° , 90°

Step-by-step explanation:

since the triangle is right then one angle is 90°

the ratio of the smaller angles = 3 : 2 = 3x : 2x ( x is a multiplier )

the sum of the 3 angles in the triangle is 180° , that is

3x + 2x + 90 = 180

5x + 90 = 180 ( subtract 90 from both sides )

5x = 90 ( divide both sides by 5 )

x = 18

Then

3x = 3 × 18 = 54°

2x = 2 × 18 = 36°

the 3 angles measure 36° , 54° , 90°

The correct step to prove that \(BC^2 = AB^2 + AC^2\) is:

By the cross product property, \(AC^2 = BC \cdot AD\).

To prove that \(BC^2 = AB^2 + AC^2\), we can use the triangle similarity and the Pythagorean theorem. Here's a step-by-step explanation:

Given triangle ABC with right angle at A and segment AD perpendicular to segment BC.

By triangle similarity, triangle ABD is similar to triangle ABC. This is because angle A is common, and angle BDA is a right angle (as AD is perpendicular to BC).

Using the proportionality of similar triangles, we can write the following ratio:

\($\frac{AB}{BC} = \frac{AD}{AB}$\)

Cross-multiplying, we get:

\($AB^2 = BC \cdot AD$\)

Similarly, using triangle similarity, triangle ACD is also similar to triangle ABC. This gives us:

\($\frac{AC}{BC} = \frac{AD}{AC}$\)

Cross-multiplying, we have:

\($AC^2 = BC \cdot AD$\)

Now, we can substitute the derived expressions into the original equation:

\($BC^2 = AB^2 + AC^2$\\$BC^2 = (BC \cdot AD) + (BC \cdot AD)$\\$BC^2 = 2 \cdot BC \cdot AD$\)

It was made possible by cross-product property.

Therefore, the correct step to prove that \(BC^2 = AB^2 + AC^2\) is:

By the cross product property, \(AC^2 = BC \cdot AD\).

For more questions on cross-product property:

https://brainly.com/question/14542172

#SPJ8

The Mean is 17, Median is 18, Mode is 18 and, Midrange is 17.

The Mean is defined as the ratio of sum of numbers present in the data to the total numbers present in the data. Median is defined as the ratio of sum of middle numbers present in the data. Mode is defined as the most recurring number present in the data. Midrange is the ratio of the largest and smallest number in the data to 2.

Let's see how to calculate Mean, Median, Mode and Midrange.

Mean = 13 + 15 + 18 + 18 + 21 / 5

Mean = 85 / 5

Mean = 17

Median = 18 (as it is the middle term of the data)

Mode = 18 (as it is most recurring number)

Midrange = 21 + 13 / 2

Midrange = 34 / 2

Midrange = 17

Therefore, The Mean is 17, Median is 18, Mode is 18 and, Midrange is 17.

To study more about Mean, Median Mode:

https://brainly.com/question/14532771

https://brainly.com/question/542771

Answer:

\(3.4196 \times 10^{7}\)

Step-by-step explanation:

Given expression:

\((4.12 \times 10^{-9})(8.3 \times 10^{15})\)

Remove the parentheses:

\(\implies 4.12\times 10^{-9} \times 8.3 \times 10^{15}\)

Collect like terms:

\(\implies 4.12 \times 8.3 \times 10^{-9} \times 10^{15}\)

Multiply the numbers 4.12 and 8.3:

\(\implies 34.196 \times 10^{-9} \times 10^{15}\)

\(\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}:\)

\(\implies 34.196 \times 10^{(-9+15)}\)

\(\implies 34.196 \times 10^{6}\)

Scientific notation is written in the form  \(\boxed{a \times 10^n}\)

where \(1\leq a < 10\)  and \(n\) is any positive or negative whole number.

To convert 34.196 × 10⁶ into scientific notation, move the decimal point to the left by one place and increase the power of 10 by 1:

\(\implies 34.196 \times 10^{6}=3.4196 \times 10^{7}\)

Given a function as shown below:

Hence to maximize the profit at least 138 items must be sold

And the maximum profit that can be earned is derived by substituting 138 it to p(x)

Hence the maximum profit is $36572.00

The minimum item that must be sold to make a profit can be found by solving the following quadratic inequality:

And the solution is given as

Hence, the company must sell a minimum of 3 items to make a profit

Answer:

-560 is the answer

Step-by-step explanation:

658 - (-560 )= 98

Answer:

Hello!!! erz here ^^

Step-by-step explanation:

658 - 560 = 98

Hope this helps!! :D