Write the conjugate of the following complex
number:
-3 + 2i

Answer:

.1608

Step-by-step explanation:

just took the test

Using the z-distribution, as we are working with a proportion, it is found that the correct p-value for the test is given by 0.1608.

At the null hypothesis, we test if the proportions are the same, that is:

\(H_0: p_1 - p_2 = 0\)

At the alternative hypothesis, we test if they are different, that is:

\(H_1: p_1 - p_2 \neq 0\).

For each sample, they are given by:

\(p_1 = \frac{27}{50} = 0.54, s_1 = \sqrt{\frac{0.54(0.46)}{50}} = 0.0705\)

\(p_2 = \frac{20}{50} = 0.4, s_2 = \sqrt{\frac{0.4(0.6)}{50}} = 0.0693\)

Hence, for the distribution of differences, they are given by:

\(\overline{p} = p_1 - p_2 = 0.54 - 0.4 = 0.14\)

\(s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.0705^2 + 0.0693^2} = 0.0989\)

The test statistic is given by:

\(z = \frac{\overline{p} - p}{s}\)

In which p = 0 is the value tested at the null hypothesis.

Hence:

\(z = \frac{\overline{p} - p}{s}\)

\(z = \frac{0.14 - 0}{0.0989}\)

\(z = 1.42\)

The p-value of the test is found using a z-distribution calculator, with a two-tailed test, as we are testing if the proportion is different of a value, with z = 1.42, and it is of 0.1608.

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Answer:

City A was 5c, and city B was 4c so it’s the first one

Step-by-step explanation:

I just took the test and I got it right

Answer:

City A was 5c, and city B was 4c

Step-by-step explanation:

When a hollow plastic ball is projected into the air, there is air resistance opposing its motion. The magnitude of the ball's acceleration is not equal to zero. At time t, the ball is moving up and to the right at a 45-degree angle to the horizontal.

The acceleration of the ball can be determined by considering the forces acting on it. Since there is air resistance opposing the ball's motion, its acceleration is less than the acceleration due to gravity (g). Therefore, the statement "a < g" best represents the magnitude and direction of the ball's acceleration at time t. This means that the ball's acceleration is directed downward but is smaller than the acceleration due to gravity. The presence of air resistance affects the ball's motion and causes its acceleration to be less than the acceleration due to gravity.

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Answer

Step-by-step explanation:

Hope it helps you!

Answer:

The answer is C. I added it all up using a calculator.

Answer:

13.2 g

Step-by-step explanation:

let x = grams sugar in a 200 ml glass

16.5 g sugar / 250 ml = x g sugar / 200 ml

x(250) = (16.5)(200)

x =  (16.5)(200) / (250) = 3300 / 250 = 13.2

Answer:  there are 13.2 g sugar in a 200 ml glass of juice

Answer:

(i) 90°

(ii) CÔD

(iii) AÔD = 110°

(iv) 180°

(v) AÔD

(vi) AÔB

Step-by-step explanation:

Two angles are said to be complementary if they add up to 90°.

Complementary angles can either be adjacent or non-adjacent.

Two Angles are said to be supplementary if they add up to 180°.

Complementary angles can either be adjacent or non-adjacent.

(i) BÔC + CÔD = 25 + 65 = 90°

(ii) BÔC = 25°

Therefore the complementary angle measures 90 - 25 = 65°

So the complement of BÔC is CÔD

(iii) AÔD = 20 + 25 + 65 = 110°

(iv) AÔD + DÔE = 110 + 70 = 180°

(v) DÔE = 70°

Therefore the supplementary angle measures 180 - 70 = 110°

So the supplement of DÔE is AÔD

(vi) DÔE = 70°

Therefore the complementary angle measures 90 - 70 = 20°

So the complement of DÔE is AÔB

#1

#2

Let the complement be x

#3

#4

#5

There are a total of $15^5 = 759,375$ distinct possibilities for the values in the diagonal going from top left to the bottom right of a BINGO card, in order.

To find the number of distinct possibilities for the values in the diagonal going from top left to the bottom right of a BINGO card, we need to consider the range of numbers that can be placed in the diagonal.

In the given BINGO card, the diagonal starts with the number 5 in the top left corner and ends with the number 71 in the bottom right corner. We can see that the numbers in the diagonal follow a pattern:

5, 17, 32, 49, 71

We can analyze this pattern to find the number of distinct possibilities.

- The first number, 5, can be any number from the set $1-15$.
- The second number, 17, can be any number from the set $16-30$.
- The third number, 32, can be any number from the set $31-45$.
- The fourth number, 49, can be any number from the set $46-60$.
- The fifth number, 71, can be any number from the set $61-75$.

To find the number of distinct possibilities, we multiply the number of choices for each position:

15 choices for the first number × 15 choices for the second number × 15 choices for the third number × 15 choices for the fourth number × 15 choices for the fifth number

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Answer:

The slope is 1

Step-by-step explanation:

Take any two points from the graph and plug it into the equation y1-y/x1-x. I took the point (0,3) and (1,4). Plug these two points in to get 4-3/1-0. Simplify to get 1/1 which is equal to 1. Therefore, the slope is 1.

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Answer:

The slope is 1

Step-by-step explanation:

There are multiple ways to find the slope on a graph. You can either take two points from the line and do it the normal way (y1-y2/x1-x2), or you can look at the graph and see how much it "rises and runs" from one point to the next point. Since this is a pretty simple graph that is the method I used. Count how many units the line goes up and to the right from one point to the next, and remember the phrase "rise over run" for organizing the fraction. In this one, it rises one and runs one, so 1/1, and that's 1. I hope I could help.

An actual measurement represents a reading that is taken manually at the physical thickness measurement location on the equipment.

actual measurement = 8.6cm(bird's height), ? (beak)

photo measurement = 52.4(birds height), 1.1 (beak)

if 52.4 = 8.6

1.1 = 1.1 x 8.6

         52.4

= it is roughly 0.18cm

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The simplified form of the given expression 64a²b^5 35b²c3f4 ·· 12a4b³c 70abcf2​ is (56af) / (15b²).

To simplify an expression, we need to manipulate it in a way that reduces it to a simpler form while maintaining its equivalence.

First, simplify each term in the numerator and denominator separately:

64a²b^5 ÷ 12a^4b³c = (8a^(2-4) / 3b^(5-3))c = 8c / 3ab²

35b²c³f⁴ ÷ 70abcf² = (5b^(2-1) / 14af^(2-1))c^(3-2)f² = 5c / 14af

Therefore, the entire expression simplifies to:

(8c / 3ab²) / (5c / 14af) = (8c * 14af) / (3ab² * 5c)

Then, we can simplify further by canceling out common factors:

(8c * 14af) / (3ab² * 5c) = (4 * 2 * 7 * a * f) / (3 * a * b² * 5)

= (56af) / (15b²)

Thus, the simplified expression is (56af) / (15b²).

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1. Stoichiometric table
2. Constant
3. CA, CB, and Cc
4. Conversion of A

1. The stoichiometric table for the given reaction is as follows:

  Reactant     |   A    |   B
  ---------------------------------
  Coefficient  |   1    |   1
  ---------------------------------
  Product      |   0    |   1
  ---------------------------------

2. The given question does not mention any specific constants like 8 and ₁, so it is unclear what they refer to in this context. Please provide more information or clarify the question.

3. To calculate the concentrations of A, B, and C at a conversion of A equals 90%, we need to use the stoichiometric table and the given initial concentrations of A and B.

  Let's assume the initial volume of the reactor is V ft³.
 
  The initial number of moles of A is given by: nA = 1 lb-mol/ft³ × V ft³ = 1V lb-mol.
  The initial number of moles of B is given by: nB = 3.47 lb-mol/ft³ × V ft³ = 3.47V lb-mol.

  At a conversion of 90%, the final number of moles of A is 0.1 × nA = 0.1V lb-mol.
  From the stoichiometric table, we can see that 1 mole of A reacts with 1 mole of B to form 1 mole of C.
  Therefore, the final number of moles of C is also 0.1V lb-mol.

  To calculate the final concentrations, we divide the final number of moles by the final volume of the reactor (V ft³):
 
  CA = 0.1V lb-mol / V ft³ = 0.1 lb-mol/ft³
  CB = 3.47V lb-mol / V ft³ = 3.47 lb-mol/ft³
  CC = 0.1V lb-mol / V ft³ = 0.1 lb-mol/ft³

4. The final concentrations of A, B, and C at a conversion of A equals 90% are: CA = 0.1 lb-mol/ft³, CB = 3.47 lb-mol/ft³, and CC = 0.1 lb-mol/ft³. These concentrations are obtained by considering the stoichiometry of the reaction and using the given initial concentrations and the conversion of A.

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Answer:

7/25

Step-by-step explanation:

0.56 move two times to get rid of the point that will give you 56/100 divide by an digit that can go equally in both of them to the lowest form start from 2

The correct equations that form a system of equations to determine the number of boxes of pens, x, and the number of boxes of pencils, y, that Mr. Kelly buys are:

A. x+y = 40 (since he buys a total of 40 boxes)

E. 5x + 2y = 131 (since he spends a total of $131)

Therefore, the correct answers are A and E.

False. if you are given a graph with two shif table lines, the correct answer will always require you to move both lines.

In a graph with two shiftable lines, the correct answer may or may not require moving both lines. It depends on the specific scenario and the desired outcome or conditions that need to be met.

When working with shiftable lines, shifting refers to changing the position of the lines on the graph by adjusting their slope or intercept. The purpose of shifting the lines is often to satisfy certain criteria or align them with specific points or patterns on the graph.

In some cases, achieving the desired outcome may only require shifting one of the lines. This can happen when one line already aligns with the desired points or pattern, and the other line can remain fixed. Moving both lines may not be necessary or could result in an undesired configuration.

However, there are also situations where both lines need to be shifted to achieve the desired result. This can occur when the relationship between the lines or the positioning of the lines relative to the graph requires adjustments to both lines.

Ultimately, the key is to carefully analyze the graph, understand the relationship between the lines, and identify the specific criteria or conditions that need to be met. This analysis will guide the decision of whether one or both lines should be shifted to obtain the correct answer.

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Answer:

224 printers

Step-by-step explanation:

56computers×4printers per computer=224 printers

The amount of money left with Dalton on gift card is given by the equation

9.95 + m = 25

Given data ,

Let the total amount of money on the gift card be = $ 25

Now , the amount of money spent on restaurant = $ 9.95

So , the amount of money left is

m = 25 - 9.95

On simplifying the equation , we get

m = $ 15.05

Hence , the amount left is m = $ 15.05

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The distance between the rock and the surface is 827.20 cm.

Given data,

There is a robot on Mars' surface. 13.33 degrees of depression can be seen between a camera in the robot and a boulder on the surface of Mars. 196.0 cm is how high the camera is from the ground.

How far is the rock from the camera?

From the given data,

tan c = AB/BC

tan 13.33° = 196/BC

BC = 196/tan 13.33°

BC = 827.20 cm

Hence, the distance between the rock and the surface is 827.20 cm.

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Answer:

D.) x = 7

Step-by-step explanation:

4x - 9x + 3 = -32

The first thing we do is combine like terms which means to add or subtract or multiply or divide any numbers that are known. Here in this equation we have 4x and - 9x

4x - 9x + 3 = -32

- 5x + 3 = - 32

Now what we do is subtract the common numeral from the side where the x value is.

- 5x + 3 = - 32

- 3. - 3

- 5x = - 35

Lastly, we divide here we take the value next to x and divide both numbers, here we will divide by - 5.

- 5x = - 35

- 5x / - 5 = x

- 35 / - 5 = 7

Now we take are two solutions and create are final solution.

x = 7

Answer: 65 inches

Step-by-step explanation:

11ft and 11inches/11 is  13 so the longest is 65 inches

Answer:

so graph your first point. (x=2, y=1)

Step-by-step explanation:

Your 5/3 is your rise over run. So go up 5 from 2 you should be at 7 and over 3 from your 1  so your next point would be (x=7, y=4) now get a ruler and connect your two points. make sure to use a ruler to make your line straight.  

To graph a line with a slope of 5/3 and passes through the point (2, 1), we can use the slope-intercept form of a linear equation, which is given by:

y = mx + b

where:

- y and x are the coordinates of any point on the line

- m is the slope of the line

- b is the y-intercept (the point where the line crosses the y-axis)

Given the slope (m = 5/3) and the point (2, 1), we can substitute these values into the equation and solve for the y-intercept (b):

1 = (5/3)(2) + b

1 = 10/3 + b

To isolate b, we subtract 10/3 from both sides:

1 - 10/3 = b

-7/3 = b

Now we have the values of m and b, so we can write the equation of the line:

y = (5/3)x - 7/3

To graph the line, we plot the y-intercept at (0, -7/3), and then use the slope (5/3) to find additional points on the line.

Since the slope is positive, we can move up 5 units vertically and 3 units horizontally from the y-intercept to find another point. We repeat this process to find more points if needed.

Thus, using this, one can plot the graph.

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The equilibrium of this game is {s1 = 1/2, s2 = 1/4} and Player 2 plays A if sA2 = 3/4 and plays B if sB2 = 1/2.

Consider the following two-player game. Si = [0, 1], for i = 1, 2. Player 2 is equally likely to be type A or type B, and the realization of her type is private information to her.

Payoffs are as follows:

u1(s1,s2)=1−[s1 −(1/2)s2]^4

uA2(s1,sA2)=100−[sA2 −s1−1/4]^2

uB2 (s1,sB2 )=100−[sB2 −s1]^2.

To find a Bayes-Nash equilibrium of this game, we need to solve this problem by backwards induction.

The equilibrium of this game is {s1 = 1/2, s2 = 1/4} and Player 2 plays A if sA2 = 3/4 and plays B if Subs = 1/2.

A Bayes-Nash equilibrium is a pair of strategies, one for each player, such that each player's strategy is optimal given the other player's strategy and her private information about the game.

This is a refinement of the Nash equilibrium that takes into account the players' information about the game.

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To arrive at the objective function, we must make the main assumption that the returns are normally distributed

The objective function is a mathematical expression used to represent the goal of a problem in terms of one or more variables. In finance, the objective function is used to represent the goal of maximizing returns.

The distribution of returns is an important factor to consider when creating an objective function for an investment portfolio. Returns are the gains or losses an investor makes on his investments. The distribution of returns refers to the way in which these returns are distributed in the portfolio.

To arrive at the objective function, we must make the main assumption that the returns are normally distributed. A normal distribution is a bell-shaped curve that represents the distribution of data in a population. In finance, normal distributions are used to model portfolio returns because they ensure a good approximation of how returns are distributed across a wide range of investments.

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Answer:

c = -22, 22

Step-by-step explanation:

\( {(x - 11)}^{2} = {x}^{2} - 22x + 121\)

\( {(x + 11)}^{2} = {x}^{2} + 22x + 121\)

Answer a

Step-by-step explanation:

Marsha deposited $5500 into savings with 5% interest rate

1st year, Marsha will earn : \(0.05 \times 5500 = 275\)

2nd year, Marsha will earn: \(0.05 \times 5775 = 288.75\)

3rd year, Marsha will earn: \(0.05 \times 6063.75 = 303.19\)

4th year, Marsha will earn: \(0.05 \times 6366.94 = 318.35\)