Rebecca’s boss pays her time and a half for overtime work. If her regular wage is $13.50 per hour, what is her overtime rate?

The linear approximation used by the first step of Newton's method can be expressed as: f(x) ≈ f(a) + f'(a) * (x - a)

The linear approximation used by the first step of Newton's method is given by the equation:

f(x) ≈ f(a) + f'(a) * (x - a)

In other words, the linear approximation is produced by adding the derivative of the function at the initial guess and the difference between the updated estimate x and the starting guess a to the value of the function at the starting guess.

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Answer:

\(a^9 + b^ 5 + c^{13}\)

Step-by-step explanation:

\((a^5 \times a^4)+(b^2 \times b^3) + (c^7 \times c^6)\)

When bases are same and it is multiplication, then add the exponents.

\((a^{5+4})+(b^{2+3})+(c^{7+6})\)

\((a^9)+(b^ 5) + (c^{13})\)

Apply rule : \((a^b)=a^b\)

\(a^9 + b^ 5 + c^{13}\)

Answer:

\(a^9+b^5-c^{13\)

Step-by-step explanation:

\((a^5*a^4) + (b^2*b^3)-(c^7*c^6)\)

When bases are same, powers are to be added.

=> \((a^{5+4})+(b^{2+3})-(c^{7+6})\)

=> \(a^9+b^5-c^{13\)

Answer:

2000000000 ants would equal 1 elephant.

Step-by-step explanation:

8 x 10^6 = 8000000

4 x 10^-3 = 0.004

8000000 ÷ 0.004 = 2000000000

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Step-by-step explanation:

Based on the provided information, I would recommend B&K Real Estate Company to choose the Silver Package with a sample size of 1,000 listings. This option strikes a balance between cost and accuracy, providing a reasonable margin of error while minimizing the cost for the service.

Confidence Statement:

"I am 95% confident that the true mean of the Northeast house listing prices falls within the estimated range, based on a sample size of 1,000 listings."

Factors Considered:

Cost: The cost for the Silver Package is $10,000, which is lower than the Gold Package but higher than the Bronze Package. B&K can achieve a reasonably accurate estimate of the mean listing price at a lower cost compared to the Gold Package.

Margin of Error: The margin of error for the Silver Package is $7,750. While it is larger than the Gold Package, it is significantly smaller than the Bronze Package. The margin of error represents the range within which the true mean of listing prices is likely to fall. With a smaller margin of error, the estimated mean is more precise, providing a better understanding of the Northeast home prices compared to the Bronze Package.

Sample Size: The sample size of 1,000 listings in the Silver Package is larger than the Bronze Package but smaller than the Gold Package. A larger sample size generally leads to a more accurate estimate of the population mean. Although the sample size in the Gold Package is larger, the incremental gain in accuracy is not significant enough to justify the higher cost.

Response to Peers:

Response 1:

If the agents prefer a higher confidence interval, such as 99%, compared to the management's 95% confidence interval, it would require a larger sample size to achieve the desired accuracy. This could result in increased costs for data collection. However, a higher confidence interval provides greater confidence in the estimated mean listing price, giving the agents more assurance when making decisions. The advantage is a higher level of confidence, but the disadvantage is the increased cost associated with a larger sample size.

Response 2:

If the agents prefer a lower confidence interval, such as 90%, compared to the management's 95% confidence interval, it would require a smaller sample size to achieve the desired accuracy. This could reduce the cost for data collection. However, a lower confidence interval means a wider margin of error and less certainty in the estimated mean listing price. The advantage is the cost savings, but the disadvantage is a lower level of confidence in the estimate, potentially leading to more uncertainty for the agents when making decisions

Answer:

distance between the two points is 7.071

The probability values for the questions posed are :

A.)

Number of students Taking a public speaking class majoring in business administration.

P(PS or BA) = 55/100 = 11/20

Therefore, the probability of PS or BA is 11/20

B.)

For the survey described, P(taken a public speaking class | majoring in Business Administration) represents the probability that a selected student has taken a public speaking class given that the student is majoring in business administration.

Hence, as inferred from P(A|B) ; probability of A given B.

C.)

P(PS|BA) = n(PSnBA) / n(BA)

n(PS) = 10+20 = 30

n(PSnBA) = 10

P(PS|BA) = 10/30 = 1/3

Therefore , the probability of PS|BA is 1/3.

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Answer:

Step-by-step explanation:

-2,-1,0, 1, 2, 3 , 4 ,5 , and 6

Integers can't be fractions and decimals.

All the numbers between -3 and 7 are real, whole, and integers.

HPH

The integers between -3 and 7, not inclusive are:

-2, -1 , 0 , 1, 2 , 3, 4, 5,6

The word integer originated from the Latin word “Integer” which means whole or intact. Integers is a special set of numbers comprising zero, positive numbers and negative numbers.

We have the information available from the question is:

We have find the integers between-3 and 7, not inclusive

Now, According to the question:

The integers between -3 and 7 are:

-2, -1 , 0 , 1, 2 , 3, 4, 5,6

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The domain and the range of the function are given as follows:

The function approaches y = 0 as x approaches positive infinity.

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The interest is 16% compounded semi-annually, is Rs. 121,179.10.

To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.

Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)

So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:

Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.

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Answer:

slope = 5; y-intercept = (0,0)

Step-by-step explanation:

Answer:

slope= 5/1

y-intercept=0

Step-by-step explanation:

I hope this helps... if it does, may I be brainliest???

Answer:

Step-by-step explanation:

Let's solve for g.

gx=(−14(x−21))(2)+47

Step 1: Divide both sides by x.

gx

x

=

−28x+635

x

g=

−28x+635

x

Answer:

g=

−28x+635

x

Answer:

A proportion equation is something like:

\(\frac{A}{B} = \frac{x}{C}\)

Where A, B, and C are known numbers, and we want to find the value of x.

Now we want two cases where in one of the numerators we have a mixed number, where a mixed number is something like:

1 and 1/3

which actually should be written as:

1 + 1/3

1) a random problem can be:

\(\frac{1 + 1/3}{4} = \frac{x}{5}\)

We can see that the numerator on the left is a mixed number.

First, let's rewrite the numerator then:

1 + 1/3

we need to have the same denominator in both numbers, so we can multiply and divide by 3 the number 1:

(3/3)*1 + 1/3

3/3 + 1/3 = 4/3

now we can rewrite our equation as:

\(\frac{4/3}{4} = \frac{x}{5}\)

now we can solve this:

\(\frac{4/3}{4} = \frac{4}{3*4} = \frac{x}{5} \\\\\frac{1}{3} = \frac{x}{5}\)

now we can multiply both sides by 5 to get:

\(\frac{5}{3} = x\)

Now let's look at another example, this time we will have the variable x in the denominator:

\(\frac{7}{12} = \frac{3 + 4/7}{x}\)

We can see that we have a mixed number in one numerator.

Let's rewrite that number as a fraction:

3 + 4/7

let's multiply and divide the 3 by 7.

(7/7)*3 + 4/7

21/7 + 4/7

25/7

Then we can rewrite our equation as

\(\frac{7}{12} = \frac{25/7}{x}\)

Now we can multiply both sides by x to get:

\(\frac{7}{12}*x = \frac{25}{7}\)

Now we need to multiply both sides by (12/7) to get:

\(x = \frac{25}{7}*\frac{12}{7} = 300/49\)

According to the concept of algebraic expression and arithmetic, the correct answers are A) Number of adults = N - 25. B) Number of adults when N = 124: 124 - 25 = 99

A) Let's denote the number of children as N. Since there are 25 fewer adults than children, the number of adults can be expressed as N - 25.

B) If there are 124 children, we substitute N with 124 in the expression from part A. Thus, the number of adults would be 124 - 25 = 99.

To arrive at these answers, we used the given information that there are "N" children and 25 fewer adults than children. By substituting the value of N, we determined the number of adults in terms of N and then calculated the specific number of adults when N is equal to 124.

Note: The given question is incomplete. The complete question is:

Some adults and children are watching a musical. there are 'N' number of children. There are 25 fewer adults than children.

A) find the number of adults in terms of 'N'.

B) if there are 124 children how many adults are there?​

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The algebraic equation that expresses the cost, C, of running the Ad Ramon  plans to place in the newspaper where the cost of the first g Ad is y dollars and the cost per extra line is p dollars is; C = y + (x - g)×p

An algebraic equation contains two algebraic expressions, indicated to be of the same quality or quantity by joining them with a '='. It is a statement that the two expressions on either side of the '=' are equal or equivalent.

The number of lines in the Ad Ramon plans to place in the newspaper  = x lines

The amount the newspaper charges for the first g lines = y dollars per week

The amount the newspaper charges for the extra lines = p dollars per week

The possible number of lines in Ramon's Ad = x > g

The cost of running the Ad per week, where x > g is therefore;

The cost for the first g lines added to the cost of the extra lines

The cost of the first g lines = y

The number of extra lines = x - p

The cost of the extra lines is therefore;

Cost of extra lines = (x - g) × p

The cost of running the Ad Ramon plans to place in the newspaper for a week is therefore;

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Answer:

2. White Button Mushroom

The calculation of this can be done by first determining the future value of the monthly payments of $327.50

The future value of an annuity can be determined using a financial calculator, mathematical formula, or spreadsheet software. The future value of an annuity is calculated by multiplying the periodic payment amount by the future value factor,

which is based on the number of payments and the interest rate.For example, suppose we want to know the future value of a $500 end-of-month deposit into an annuity that pays 6% interest compounded monthly for five years.

The future value factor for 60 periods at 0.5 percent per month is 80.9747, which can be multiplied by the monthly deposit amount to find the future value of the annuity.500 × 80.9747 = 40,487.35

This means that a $500 end-of-month deposit into an annuity paying 6% interest compounded monthly for five years will have a future value of $40,487.35.

Therefore, to accumulate a $20,000 down payment for a home in five years, you would need to deposit $327.50 per month into the annuity.

 for 60 months using the formula and then solving for the monthly payment amount where FV = $20,000 and n = 60, r = 0.5%.FV = PMT [(1 + r)n – 1] / r$20,000 = PMT [(1 + 0.005)60 – 1] / 0.005PMT = $327.50 (rounded to the nearest cent).

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Answer:

A. There are two complex roots

Step-by-step explanation:

Just took the test

If the discriminant of a quadratic equation is equal to Negative 8, there are two complex roots.

The discriminant of a quadratic equation is given as;

\(b^2 - 4ac>0 \ \ ( 2 \ solutions; 1 \ positive \ and \ 1 \ negative\ solution)\\\\b^2 -4ac = 0 \ \ (1 \ real \ solution)\\\\b^2 - 4ac \ < 0 \ \ (complex \ root, \ no \ solution)\)

A discriminant of negative 8 falls with last category in the solution above.

\(b^2 - 4ac <0 \ \ (eg \ -8),\)

\(x = +/-\sqrt{-8} \\\\x = \sqrt{-8 } \ \ or \ \ -\sqrt{-8} \ \ \ \ \ (2 \ complex \ roots)\)

Thus, if the discriminant of a quadratic equation is equal to Negative 8, there are two complex roots.

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Answer:

differentiate between tropical and subtropical climate zone on the basis of climate and economic activities in 4 points class 10

Out of the 400 surveyed students, 327 were either seniors or commuters.

To find the number of students who were either seniors or commuters out of the 400 surveyed students, we need to add the number of seniors and the number of commuters while avoiding double-counting those who fall into both categories.

According to the information given:

There were 262 seniors.

There were 215 commuters.

150 of the seniors were also commuters.

To avoid double-counting, we need to subtract the number of seniors who were also commuters from the total count of seniors and commuters.

Seniors or commuters = Total seniors + Total commuters - Seniors who are also commuters

= 262 + 215 - 150

= 327

Therefore, out of the 400 surveyed students, 327 were either seniors or commuters.

It's important to note that in this calculation, we accounted for the overlap between seniors and commuters (150 students who were both seniors and commuters) to avoid counting them twice.

This ensures an accurate count of the students who fall into either category.

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Answer:

65.8179...

Step-by-step explanation:

its 65.8179...

Answer:

To find the directional derivative in the direction of the vector (1,2), we need to find a unit vector in the direction of the vector (1,2). We simply divide by the magnitude of (1,2). u=(1,2)∥(1,2)∥=(1,2)√12+22=(1,2)√5=(1/√5,2/√5).

Answer:To find the directional derivative in the direction of the vector (1,2), we need to find a unit vector in the direction of the vector (1,2). We simply divide by the magnitude of (1,2). u=(1,2)∥(1,2)∥=(1,2)√12+22=(1,2)√5=(1/√5,2/√5).

Step-by-step explanation:

Answer: 3.65

Step-by-step explanation:

This question is asking basically what is 50% or 1/2 of 7.3.

Let's expand the number 7.3

Then, we end up getting 7.30.

We have to find 1/2 of 7.30.

\(\frac{1}{2}\) of 7.30 = \(3.65\)

Hope this helps you!

The function can be defined as  price = 6x

It will cost $150 to buy 25 reams of paper.

The domain of the function is all non-negative real numbers, since the number of reams bought cannot be negative.

The range of the function is all non-negative real numbers, since the price cannot be negative.

Fir 25 items, price = 6(25) = $150

It will cost $150 to buy 25 reams of paper.

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Therefore , the solution of the given problem of percentage comes out to be time = 5,621.2 years  age of the bird skeleton.

In mathematics, a percentage is any value that can be written as a fraction of 100. There are also sporadic uses of the abbreviations "pct.," "pct," or "pc." However, it is commonly indicated by the "%" mark. The proportional amount is flat and lacks any dimensions. Since percentages have a numerator of 100, they can be thought of as fractions. The percent symbol (%) must come after a number to denote that it is a percentage.

Here,

This is a radioactive decay / half-life problem.

Initial amount of C 14 = 100% Present Amount = 57%

k = .0001  (that value should be negative)

Nt = No * e^ (k*t)

You need to solve that equation for "time" (equation attached)

time = natural log (Ending amount / Starting Amount) / k

time = natural log (57% / 100%) / -.0001

time = ln (.57) / -.0001

time = -.56211891815 / -.0001

time = 5,621.2 years    (age of the bird skeleton)

Therefore , the solution of the given problem of percentage comes out to be time = 5,621.2 years  age of the bird skeleton.

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The complete question is "A geologist in South America discovers a

bird skeleton that contains 57% of its

original amount of C-14.

N = Noekt

No = inital amount of C-14 (at time

t = 0)

N = amount of C-14 at time t

k = 0.0001

t = time, in years

Find the age of the bird skeleton to the nearest year"

I messed up so how do I erase my answer omg sorry ....

Answer:

-200

Step-by-step explanation:

ATQ, a+11d=-13 and a+a+d+a+2d+a+3d=24, 4a+6d=24. Solving this, we get a=9 and d=-2. Sum of the first 20 terms is 10*(18+(19)*(-2))=-200