If a polynomial function f(x) has the zeros -3, 1, 2 i and -2i, write a
polynomial function in standard form. SHOW ALL WORK

Answer:

330.05

Step-by-step explanation:

because if you do 8.46x 39 you will get 329.65 and you have to change it because 65 is over 60 and then you change it to 330.05

When designing a security system, it is essential to consider the needs and roles of administrators, end-users, and auditors. Each user type plays a unique role in maintaining the security and functionality of the system.

By understanding their requirements and incorporating them into the design, a robust and effective security system can be achieved.

Three types of users that are considered in the design of a security system are:

1. Administrators: Administrators have the highest level of privileges and are responsible for managing and configuring the security system.

They have access to all system functions and controls, allowing them to set up user accounts, define access rights, and monitor system activities. Administrators play a critical role in ensuring the overall security of the system.

2. End-users: End-users are the individuals who interact with the security system on a daily basis. They include employees, customers, or any other individuals who require access to the system.

End-users typically have limited privileges and can perform specific actions based on their assigned roles and permissions.

It is important to design the security system with user-friendly interfaces and intuitive controls to enhance usability and productivity.

3. Auditors: Auditors are responsible for assessing the effectiveness and compliance of the security system.

They review system logs, conduct security audits, and analyze security controls to ensure that the system is functioning as intended and meeting regulatory requirements.

Auditors provide valuable feedback and recommendations for improving the security system's design and implementation.

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A sample size of approximately 37 is needed to estimate the mean hemoglobin level of 11-year-old boys with a margin of error no greater than 0.5 g/dl and a 95% confidence level.

a) In order to estimate the mean hemoglobin level (μ) of 11-year-old boys with a margin of error no greater than 0.5 g/dl and a 95% confidence level, we need to determine the sample size. The margin of error is calculated by multiplying the critical value (z*) with the standard deviation (σ) divided by the square root of the sample size (n). Given that the standard deviation is 1.2 g/dl, we can rearrange the formula to solve for n:

Margin of Error = z* * (σ / sqrt(n))

We want the margin of error to be no greater than 0.5 g/dl, so we can plug in the values:

0.5 = z* * (1.2 / sqrt(n))

To find the appropriate critical value (z*) for a 95% confidence level, we can refer to the standard normal distribution table or use a calculator. Assuming a z* value of approximately 1.96, we can substitute the values and solve for n:

0.5 = 1.96 * (1.2 / sqrt(n))

By squaring both sides of the equation and solving for n, we find that the sample size needed is approximately 37.

b) To estimate the mean hemoglobin level (μ) with a margin of error of 0.5 g/dl and a 99% confidence level, we follow a similar approach. The only difference is the critical value (z*) for a 99% confidence level. Assuming a z* value of approximately 2.58, we can substitute the values into the formula:

0.5 = 2.58 * (1.2 / sqrt(n))

By squaring both sides of the equation and solving for n, we find that the sample size needed is approximately 90.

In summary, a sample size of approximately 37 is needed to estimate the mean hemoglobin level of 11-year-old boys with a margin of error no greater than 0.5 g/dl and a 95% confidence level. Alternatively, a sample size of approximately 90 is required to achieve the same margin of error but with a higher confidence level of 99%.  

The explanation for determining the sample size involves using the formula for margin of error and rearranging it to solve for the sample size (n). By plugging in the given values of the standard deviation and the desired margin of error, we can calculate the critical value (z*) for the specific confidence level. Using this critical value, we can substitute the values back into the formula and solve for n. In the first scenario, where a 95% confidence level is desired, a z* value of approximately 1.96 is used. In the second scenario, with a 99% confidence level, a z* value of approximately 2.58 is utilized. The resulting equations are then squared to isolate n and determine the required sample size.  

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Answer:

2

Step-by-step explanation:

x + 1/x = 2

x + 1 = 2x

x = 1

x³ + 1/x³

1³ + 1/1³.

1 + 1/1 = 1 + 1 = 2

Answer: y=2/5x - 4

Step-by-step explanation:

Answer:

5 cakes for 1.90 (i dont have pounds symbol)

Step-by-step explanation:

To find the cheapest cake, divide both numbers (3.20, 1.90) by the number of cakes (8, 5)

3.20 ÷ 8 = 0.4 per cake

1.90 ÷ 5 = 0.38 per cake

60 to 0 is a slope of the graph

Answer:

Y=60,X=2,5

Step-by-step explanation:

Answer:

\(3x^{2} \sqrt10\)

Step-by-step explanation:

Answer:

3.56

Step-by-step explanation:

The fraction must equal 1 when simplified because 6.93 times 1= 6.93

Because 4.21 is found on both top and bottom, they get eliminated. So only 3.56 is left.

Hope this helps! :)

Answer:

3 congruent sides

Answer:

3

Step-by-step explanation:

equilateral triangles have all sides that are the same, and all triangles have 3 sides

convince me with my question (brainliest plzz)

Answer:

tan G = 2.4

Step-by-step explanation:

Answer:

1)3

2)9

3)5

4)45

5)4

6)10

7)4

8)19

9)2

10)unable (no equal sign?)

Step-by-step explanation:

Answer:

they really loved fruits? i don't know sorry if I couldn't help

Answer:

(0,8)

Step-by-step explanation:

To get the y-intercept put all x values equal to 0 (because we want to see where y lies on the graph when x is zero.

y=2^0+3

y=2^3

y=8

The y-intercept is (0,8)

As for the rest of the answers.....

1)A) 2\(\sqrt{12}\)-5\(\sqrt{3}\) = 4\(\sqrt{3}\)-5\(\sqrt{3}\) so the final answer is -\(\sqrt{3}\)

1B) the problem is (3-\(\sqrt{7}\))(3+\(\sqrt{7}\)) a quick formula to help you solve this type of problem is (a-b)(a+b)= a^2-b^2 so you transform the question to 3^2-\(\sqrt{7}\) ^2

to get 9-7 which is 3 therefore the final answer is 3

2) when you transform a function from y=x^2-3 to y=x^2+1 the graph moves 4 units up. So the final answer is b)4 units up

Question 3a and 3b are correct

On solving the provided question, we can say that - Jasmine receives 2 shares, or $10 (2 x $5)and Holly receives 4 shares at $5 each, for a total of $20.

A ratio is an ordered pair of numbers a and b that is expressed as a / b, with b not equal to zero. An equation equating two ratios is known as a ratio. For instance, the ratio might be represented as 1:3 if there were 1 boy and 3 girls (for every boy he has 3 girls) 3/4 are girls, while 1/4 are boys. A part is a quantity, ratio of amount or size between two or more items.

$30 is the entire sum.

Gertie distributes $30 in a 2:4 ratio.

2 plus 4 equals 6, the total number of shares.

$30 divided by six equals $5 for each share.

Jasmine receives 2 shares, or $10 (2 x $5).

Holly receives 4 shares at $5 each, for a total of $20.

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1. (a) The nonnegative integers under addition form a group.

This is because they satisfy the four group axioms:
- Closure: Adding two nonnegative integers always results in a nonnegative integer.
- Associativity: Addition of integers is associative, meaning that for any three nonnegative integers a, b, and c, (a + b) + c = a + (b + c).
- Identity element: The number 0 is the identity element, as adding it to any nonnegative integer leaves the integer unchanged.
- Inverse element: For every nonnegative integer a, the additive inverse -a exists in the set of nonnegative integers. Adding a and -a results in the identity element 0.

(b) The positive rational numbers under multiplication do not form a group. This is because they do not satisfy the inverse element axiom. Specifically, not every positive rational number has a multiplicative inverse that is also a positive rational number. For example, the number 2 does not have a multiplicative inverse in the set of positive rational numbers.
2. (Z*₁₁)² = {0, 1, 4, 9, 5, 3, 3, 5, 9, 4, 1}
(Z*₁₃) = {0, 1, 4, 9, 3, 12, 10, 10, 12, 3, 9, 4, 1}

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Answer: 4 8/10m

Explanation:

Total Ribbon = 24m

Total children = 5

Ribbon each student gets = 24÷5

= 4.8

Now 4.8 = 48/10

4 8/10m is the mixed fraction

So each child will get 4 8/10m ribbon

Must click thanks and mark brainliest

If five children share 24m of ribbon equally then each children gets \(4\frac{4}{5}\) of ribbon.

A division is a process of splitting a specific amount into equal parts.

Given that five children share 24m of ribbon equally.

We have to find the amount of ribbon each children gets.

To find this we have to divide the length of the ribbon with the number of children.

Twenty four divided by five.

24 is the dividend and five will be the divisor

24/5

Now we have to write this in mixed fraction

\(4\frac{4}{5}\)

Hence, if five children share 24m of ribbon equally then each children gets \(4\frac{4}{5}\) of ribbon.

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Gary will be able to deduct $1,450 in medical expenses on his 2021 tax return.

Based on the information you provided, we can calculate Gary's deductible medical expenses using the following terms:

1. Qualified medical expenses: $5,200
2. AGI (Adjusted Gross Income): $50,000

According to the IRS, taxpayers can deduct qualified medical expenses that exceed 7.5% of their AGI for the tax year 2021. Here's the step-by-step calculation for Gary's deductible medical expenses:

Step 1: Calculate 7.5% of Gary's AGI
7.5% x $50,000 = $3,750

Step 2: Subtract the 7.5% AGI threshold from Gary's qualified medical expenses
$5,200 - $3,750 = $1,450

Gary will be able to deduct $1,450 in medical expenses on his 2021 tax return.

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Answer:

\(u=10\)

Step-by-step explanation:

\(m=\frac{y_2-y_1}{x_2-x_1}\)

\(10=\frac{u-0}{6-5}\)

\(10=\frac{u}{1}\)

\(10=u\)

Answer:

10 inches

Step-by-step explanation:

Area is qual to length times width.

A = lw

Rearrange this to find width.

w = A/l

Now plug in your known numbers and simplify.

w = 40/4

w = 10

Considering a growth factor of 10, the values of the exponential function are given as follows:

An exponential function is a function in which when the input x is increased by one, the output y is multiplied by the growth factor.

From the table given in the problem, the growth factor is of 8, meaning that when the input variable representing the number of hours is increased by one, the output is always multiplied by 8.

For the second table, which we have to fill, the growth factor is of 10, meaning that for each hour, the number of bacteria is given by the number of bacteria in the previous hour multiplied by 10, then:

And so on...

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you can use the formula for the volume of a rectangular prism to solve for one of the dimensions of the prism (either the length, width, or height).

What is a rectangular prism?

A rectangular prism is a three-dimensional shape with six rectangular faces. It is also known as a box or a cuboid. A rectangular prism has three dimensions: length, width, and height.

To find the base area of a rectangular prism when given the volume, you can use the formula for the volume of a rectangular prism and the formula for the base area of a pyramid.

The volume of a rectangular prism is given by the formula V = lwh,

where V is the volume, l is the length, w is the width, and h is the height.

The base area of a pyramid is given by the formula B = A/h,

where B is the base area, A is the total surface area of the pyramid, and h is the height of the pyramid.

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Answer:

7, 5929, 77

Step-by-step explanation:

The prime factorization of 847 is 7 · 11², therefore, to make it a perfect square you need to multiply it by 7 to make 5929 which has a square root of 7 · 11 = 77.

Answer:

d = Density,

m = Mass,

v = Volume

Step-by-step explanation:

m ÷ v = d (Density)

Mass: m =d × v

Volume: v = m ÷ d

The probability outcome that cannot be considered a probability outcome is B. -0.6.

This is because probabilities cannot be negative. All other options can be considered as probabilities, as they fall within the range of 0 to 1, or 0% to 100%. Remember that in a probability experiment, the probability of an event occurring is always between 0 and 1, or 0% and 100%. A probability of 0 means that the event will not occur, while a probability of 1 or 100% means that the event will definitely occur. Any value outside of this range is not a valid probability.

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Jana's sole day off from work is Friday of the second week. According to the Fair Labor Standards Act, Jana is entitled to overtime pay because she works more than 40 hours per week.

A minimum wage and "time-and-a-half" overtime pay are guaranteed under the Fair Labor Standards Act of 1938, 29 U.S.C. 203 (FLSA), a piece of labor legislation in the United States.

Additionally, it forbids using children for "oppressive child labor."

Jana, for instance, has a two-week timetable.

She puts in nine hours a day, or 8 to 5, throughout the first week of work. She works 8.75 hours per day, Monday through Thursday, from 8 to 4:45 during the second workweek.

The second week's Friday is her only day off from work. Because Jana works more than 40 hours each week, she is entitled to overtime pay under the Fair Labor Standards Act.

Therefore, Jana's sole day off from work is Friday of the second week. According to the Fair Labor Standards Act, Jana is entitled to overtime pay because she works more than 40 hours per week.

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Correct question:

Jana has a two-week work schedule. During week one, she works from 8 to 5, or nine hours a day. During week two, she works Monday through Thursday from 8 to 4:45, or 8.75 hours a day. She does not work at all the Friday of week two. The Fair Labor Standards Act requires that Jana be paid overtime:

The effective interest rate to the nearest hundredth percent, the effective interest rate is approximately 0.68%.

Interest is the fee paid for having access to borrowed funds. While the interest rate used to compute interest is often reported as an annual percentage rate (APR), interest expense or revenue is frequently expressed as a dollar figure.

To calculate the effective interest rate on U.S. Treasury Bills, we need to consider the discount rate and the time period. The formula to calculate the effective interest rate is:

Effective Interest Rate = (Discount Rate / (1 - Discount Rate)) * (365 / Time Period)

Given that the discount rate is 4.7% (0.047) and the time period is 26 weeks, we can substitute these values into the formula:

Effective Interest Rate = (0.047 / (1 - 0.047)) * (365 / 26)

Effective Interest Rate ≈ 0.0486 * 14.0385

Effective Interest Rate ≈ 0.6818

Rounding the effective interest rate to the nearest hundredth percent, the effective interest rate is approximately 0.68%.

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By solving a linear equation, it can be calculated that

The chef weighed x kg of food

What is linear equation?

At first it is important to know about equation

Equation shows the equality between two algebraic expression by connecting the two algebraic expression by an equal to sign.

A one degree equation is known as linear equation.

Here a linear equation needs to be solved

Let the chef weighed x kg of food

A chef uses the following rule for cooking food on a spit ‘Allow 20 minutes for each kilogram weight and then add an extra 20 minutes

Total time taken = 20x +20

By the problem,

20x + 20 = 180

20x = 180 - 20

20x = 160

x = \(\frac{160}{20}\)

x = 8 kg

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Step-by-step explanation:

There is no answer to this    18x/18x = 1

so you have    1 = 2/18      not true