Which number do you add to 3 to get 0?

Answer: A. The complex number 13 - i in standard form is 13 - i.

B. The complex number 13 - i can also be written as 13 + (-1)i.

C. The real part of the complex number 13 - i is 13, and the imaginary part is -1.

D. The complex number 13 - i can be represented as a complex conjugate, which is 13 + i.

E. In standard form, the complex number 13 - i is written as 13 - i.

Note: Standard form of a complex number is written as a + bi, where a is the real part and bi is the imaginary part. In standard form, the imaginary unit i is used to represent the square root of -1.

Step-by-step explanation:

Answer:

Hi, it would be A. f(x)=-1/2cos x

Step-by-step explanation:

Hope it helps!

Step-by-step explanation:

just look at the graphic : what value do we have on the cost side, when we have 1 pounds on the amount side ?

all the answer options specify a price per pound. that is why we only need to focus on the price for one pound.

we see in the graphic, that for 1 pound the price is $4.

just to make sure, we can also work with the directly specified point (0.5, 2), which means that 0.5 pounds cost $2.

and the function is clearly a straight line.

so, every point on the function has the same y/x ratio (slope).

therefore,

2/0.5 = 4

now, what point with x=1 has the same ratio ?

y/1 = 4

y = $4

perfect, the results are identical. so, $4 per pound is the correct answer.

Using it's concept, any function with domain \(x \geq 0\) has the same domain as \(y = 2\sqrt{x}\).

The domain of a function is the set that contains all possible input values for the function.

Function \(y = 2\sqrt{x}\) is defined for \(x \geq 0\), hence any function with domain \(x \geq 0\) has the same domain as \(y = 2\sqrt{x}\).

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Answer:

  7.5 minutes

Step-by-step explanation:

The stacking rate working together is assumed to be the sum of the separate stacking rates. The rates are given in terms of minutes per pile, but we need to do the computation with rates in terms of piles per minute.

__

  total rate = Maria's rate + Alex's rate

  = 1/20 piles/min + 1/12 piles/min = (12 +20)/(20·12) piles/min

  = 32/240 piles/min = 2/15 piles/min

Then the rate in terms of minutes per pile is ...

  1/(2/15 piles/min) = 15/2 min/pile = 7.5 min/pile

When both work together, it will take them 7.5 minutes to stack a pile of wood.

Answer:

the chapter name is Angles.

Step-by-step explanation:

the measurement is to be done by you using a protractor, only the name of the angles I can tell - 1 A ) accute angle, C) obtuse angle, G) acute angle.

two acute angle make one complementary angle.

and one acute and one obtuse angle makes a supplementary angle .

-

Answer:

(0,2)

Step-by-step explanation:

Multiply the x and y by 1/2

0*1/2=0

4*1/2=2

The image of (0,4) after a dilation is (0,2).

It is required to find the image .

Scale factor is the ratio of corresponding sides on two similar figures.

A scale factor is a number which multiplies (“scales”) a quantity. For example, the “C” in y =  C x is the scale factor for x.

Given:

scale factor =1/2 centered

Point=(0,4)

According to given question we have,

(x,y) -> (1/2x , 1/2y)

(0,6) -> (1/2 • 0, 1/2 • 4)

=(0,2)

Therefore, the image of (0,4) after a dilation is (0,2).

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Answer:

answer is 16 cm =8 cm

8 cm = 4 cm

32 cm = 16 cm

4 cm = 2 cm

To find the square root of a number that is not a perfect square, you can use various methods, including the following steps.

Estimate: Start by estimating the square root. Identify the nearest perfect squares below and above the given number to get an approximate range. Guess: Make an initial guess for the square root within the estimated range. Divide and Average: Divide the given number by your guess. Take the average of the result and your initial guess. This will provide a better approximation for the square root. Repeat: Continue dividing and averaging until you reach a desired level of accuracy or convergence.

Check: Square the obtained value and compare it to the original number. If they are close, you have found a reasonable approximation of the square root. It's important to note that this method provides an approximation and may not yield the exact square root of a non-perfect square number.

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The table of values that represents exponential decay is (c)

From the question, we have the following parameters that can be used in our computation:

The table of values

An exponential function is represented as

y = abˣ

Where

Rate = b

When the rate is less than 1, then the table represents a decay

i.e when y reduces as x increases

The table that has the above features is the table (c)

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Grace need to buy the jump rope, the game, and the ball $8.

$7 will get you a jump rope.

$10 will get you a board game.

$4 will get you a playground ball.

total amount to be spent: $7 + $10 + $4 = $21

She has ten dollars.

$3 was all her uncle gave her.

13 dollars are all she has.

She needed $8, therefore 21 - 13 = $8.

a sum of money awarded as compensation, a bounty, or to cover costs. a wage that comes with a cost-of-living supplement. especially: a regular amount set aside for household or personal costs.

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Answer:

Answer choice B

Step-by-step explanation:

Answer:

\(\frac{8}{3}\)

Step-by-step explanation:

The ratio of 24 rabbits to 9 ducks can be written as the ratio:

24:9

Ratios, fractions, and decimals on convertible

24:9 is the same as 24/9

Simplify 24/9 by dividing both sides by 3

\(\frac{24}{9}/\frac{3}{3} =\frac{8}{3}\)

The answer is \(\frac{8}{3}\)

Hope this helps :)

Have a great day!

The proportion of a normal distribution located between z = .50 and z = -.50 will be 38.2%.

We have,

A normal distribution located between z = 0.50 and z = -0.50,

So,

Now,

From the Z-score table,

We get,

The Probability corresponding to the Z score of -0.50,

i.e.

P(-0.50 < X < 0) = 0.191,

And,

The Probability corresponding to the Z score of -0.50,

i.e.

P(0 < X < 0.50) = 0.191,

Now,

The proportion of a normal distribution,

i.e.

P(Z₁ < X < Z₂) = P(Z₁ < X < 0) + P(0 < X < Z₂)

Now,

Putting values,

i.e.

P(-0.50 < X < 0.50) = P(-0.50 < X < 0) + P(0 < X < 0.50)

Now,

Again putting values,

We get,

P(-0.50 < X < 0.50) = 0.191 + 0.191

On solving we get,

P(-0.50 < X < 0.50) = 0.382

So,

We can write as,

P(-0.50 < X < 0.50) = 38.2%

So,

The proportion of a normal distribution is 38.2%.

Hence we can say that the proportion of a normal distribution located between z = .50 and z = -.50 will be 38.2%.

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(a) To find the probability that at least two children have blue eyes, given that at least one child has blue eyes, we need to consider the possible combinations of blue-eyed children in the family of 3 children.

Let's break it down step by step:

1. Find the total number of possible outcomes when 3 children are considered. Each child can have either blue eyes (B) or non-blue eyes (N). So, the total number of outcomes is 2^3 = 8.

2. Now, let's determine the outcomes where at least one child has blue eyes. This can be achieved by finding the outcomes where no child has non-blue eyes (NNN) and subtracting it from the total number of outcomes.

  The outcomes where no child has non-blue eyes are NNN, NNB, NBN, and BNN (4 outcomes).

  So, the number of outcomes where at least one child has blue eyes is 8 - 4 = 4.

3. Next, we need to find the outcomes where at least two children have blue eyes. These outcomes can be BBB, BBN, BNB, and NBB (4 outcomes).

4. Finally, we calculate the probability by dividing the number of outcomes where at least two children have blue eyes by the number of outcomes where at least one child has blue eyes.

  Probability = Number of outcomes where at least two children have blue eyes / Number of outcomes where at least one child has blue eyes

  Probability = 4 / 4 = 1

Therefore, the probability that at least two children have blue eyes, given that at least one child has blue eyes, is 1.

(b) To find the probability that at least two children have blue eyes, given that the youngest child has blue eyes, we can follow a similar approach as in part (a).

1. Find the total number of possible outcomes when 3 children are considered. Each child can have either blue eyes (B) or non-blue eyes (N). So, the total number of outcomes is 2^3 = 8.

2. Since we know that the youngest child has blue eyes, we only need to consider the outcomes where the youngest child has blue eyes (BNB, BBB) and subtract it from the total number of outcomes.

  The outcomes where the youngest child has blue eyes are BNB and BBB (2 outcomes).

  So, the number of outcomes where at least one child has blue eyes is 8 - 2 = 6.

3. Next, we need to find the outcomes where at least two children have blue eyes. These outcomes can be BBB and BNB (2 outcomes).

4. Finally, we calculate the probability by dividing the number of outcomes where at least two children have blue eyes by the number of outcomes where at least one child has blue eyes.

  Probability = Number of outcomes where at least two children have blue eyes / Number of outcomes where at least one child has blue eyes

  Probability = 2 / 6 = 1/3

Therefore, the probability that at least two children have blue eyes, given that the youngest child has blue eyes, is 1/3.

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Answer:

10-30x=-20x,i hope i help u :)

just convert 452 miles to kilometers

\(1 \: mile = 1.6km\)

\(452 \: miles = 452 \times 1.6km\)

\(452 \: miles = 723.2 \: kilometers\)

Answer:

684km

Step-by-step explanation:

if 1 mile if 1.6 kilometers, then you multiply 452 by 1.6 and get 683.97, round up and you get 684

Answer:

x = 6

Step-by-step explanation:

0 = x² - 36​

=> x² = 36

=> x = √36

=> x = 6

Hope it helps :)

The total fixed costs for the event amount to £2,800, which includes the security costs and the cost of the main band. Fixed costs are expenses that do not change with the number of attendees or sales.

To calculate the total fixed costs for the event, we need to identify the costs that do not change with the number of attendees. Based on the given information, the fixed costs include the security costs and the cost of the main band. Let's break it down:

Security costs: The security costs of £300 are fixed and do not depend on the number of attendees. This means the cost remains the same regardless of how many tickets are sold.

Cost of the main band: The cost of the main band is £2,500. Similar to the security costs, this cost is fixed and does not vary based on the number of attendees.

Therefore, the total fixed costs for the event would be the sum of the security costs and the cost of the main band:

Total Fixed Costs = Security Costs + Cost of Main Band

Total Fixed Costs = £300 + £2,500

Total Fixed Costs = £2,800

However, it's important to note that the cost of the supporting band, ticket prices, and the cost of the water bottles are not fixed costs. The cost of the supporting band and the cost of the water bottles are variable costs as they depend on the number of attendees. The ticket prices represent revenue, not costs.

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Answer:

the answer is b

Step-by-step explanation:

thnx

Answer:

Step-by-step explanation:

it is given by the formula=4× 90/ n

where n = number of sides

exterior angle= 4 x 90/13

=360/13=\(27.7\)°

Step-by-step explanation:

To solve this problem, let's set up our equation to solve for x (time to travel 13 miles).

\(\frac{65}{1} =\frac{13}{x}\)

We use this equation to find x. To solve, we divide 13 by 65 to get our answer.

13 ÷ 65 = 0.2

Our answer: 0.2 hours

Answer:

Let P be thd population of rabbit

P = 2 to the power of n

where n is the period of month

Answer: x= 6

Step-by-step explanation:

Since the shape is a parallelogram, the angles will either be equal to each other or add up to 180.  

You can see they do not look the same so they add up to equal 180

12x + 3 +105 = 180

12x + 108 = 180

12x = 72

x = 6

A paragraph proof D. contains a set of sentences explaining the steps needed to reach a conclusion.

It should be noted that a paragraph proof simply means a way of presenting a mathematical proof.

In this case, it contains a set of sentences explaining the steps needed to reach a conclusion.

In conclusion, the correct option is D.

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Answer:

D: contains a set of sentences explaining the steps needed to reach a conclusion.  

Answer:

see explanation

Step-by-step explanation:

(a)

Given y is directly proportional to x then the equation relating them is

y = kx ← k is the constant of proportion

To find k use the condition when x = 3, y = 18 , then

18 = 3k ( divide both sides by 3 )

6 = k

y = 6x ← equation of proportion

(b)

(i)

when x = 12 , then

y = 6 × 12 = 72

(ii)

when y = 42

42 = 6x ( divide both sides by 6 )

7 = x

Based on the analysis, discuss any differences observed between the two training methods. Discuss the analysis and findings. Reflect on the results of the analysis.

However, I can guide you on how to approach the analysis and provide you with a general outline of the steps you can follow:

Read the case problem

Review the case problem from Chapter 11 of the ebook related to the Air Force training program.

Perform the analysis

a) Run the F-test two-sample for variances:

Using Excel's Data Analysis ToolPak, follow the instructions from the provided video to perform an F-test two-sample for variances on the training data file.

b) Summarize the training time data:

Calculate appropriate descriptive statistics (e.g., mean, standard deviation) for each training method. Compare the summary statistics to identify similarities or differences between the two methods.

c) Conduct a hypothesis test on the difference between population means:

Perform a hypothesis test (e.g., independent t-test) to assess whether there is a statistically significant difference between the population means of the two training methods. Interpret and discuss the findings.

d) Calculate standard deviation and variance:

Compute the standard deviation and variance for each training method. Compare the values to gain insights into the variability within each method.

e) Conduct a hypothesis test on the equality of population variances:

Perform a hypothesis test (e.g., F-test) to determine if there is a significant difference in population variances between the two training methods. Analyze the results and discuss the findings.

f) Draw conclusions and provide recommendations:

Based on the analysis, discuss any differences observed between the two training methods. Provide a conclusion and recommendation on which training method appears to be more effective. Justify your recommendation with supporting evidence from the analysis.

Discuss the analysis and findings

Reflect on the results of the analysis. Identify any surprising or noteworthy findings. Formulate recommendations based on the findings and include specific details from the managerial report to support your recommendations.

Please note that without access to the actual data or case problem, the guidance provided is general in nature. It's important to adapt the steps to the specific case problem and data provided in the ebook.

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Answer: ↓↓↓

Step-by-step explanation:

Part A

1/4 × 4 = 1

1 1/3 × 4 = 5 \(\frac{1}{3}\)

He jogs 5 \(\frac{1}{3}\) per hour.

Part B

 1 hr - 5 \(\frac{1}{3}\) miles

3 hrs - 5 \(\frac{1}{3}\) × 3

5 \(\frac{1}{3}\) × 3 = 16

He jogs 16 miles in 3 hours