For numbers 14 to 16 ,evaluate Sp. State, when applicable, if the series diverges. (4 points each) 14. Sn = {m=08 ()" n n = 15. Sn = 2 =o)" =0 16. Sn = .444...

Answer:

64

Step-by-step explanation:

8,16,32

8x2 is 16

16x2 is 32

therefore, 32x2 is 64

Answer:

it's 1024

Step-by-step explanation:

just keep multiplying each multiple by 2

8

16

32

64

128

256

512

1024

There is $2.4 less is the sale price of the black coat than the sale price of the blue coat.

Discount is a kind of reduction or deduction in the cost price of a product.

Given

Maria is trying to decide which one of two winter coats she should buy.

The blue coat usually costs $48 but is on sale for 25% off.

The black coat usually costs $56 but is on sale for 40% off.

The cost of the blue coat after 25% discount;

\(= 48\times \dfrac{25}{100}\\\\= 48 \times \dfrac{1}{4}\\\\= 12\)

The cost of the blue coat after discount = $48 - $12 = $36

The cost of the black coat after 40% discount;

\(= 56 \times \dfrac{40}{100}\\\\= 56 \times 0.40\\\\=22.4\)

The cost of the black coat after discount = $56 - $22.4 = $33.6

The price of the coat less is the sale price of the black coat than the sale price of the blue coat is;

= $36 - $33.6

= $2.4

Hence, there is $2.4 less is the sale price of the black coat than the sale price of the blue coat.

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Answer:

v=6

Step-by-step explanation:

v²=u²+2as

v²=12²+2(-3)(18)

v²=144-108

v²=30

v=6

Answer:

4,200 hbph

Step-by-step explanation:

Hope this helps and have a great day!!!

Answer:

4200 times

Step-by-step explanation:

If there is 70 beats in a minute, and 60 minutes in an hour. All you do is 70*60.

Answer:

a is the answer rok I hope it helps

The equation s + 7p = 96 best represents and cost of one pair of paint is $7.428.

Determine the known quantities and designate the unknown quantity as a variable while setting up or constructing a linear equation to fit a real-world application.

Let's suppose the cost of one pair of shoes = S

Cost of one pair of paint = P

Total spent = cost of paint + cost of shoes

7P + S = 96

Given ,S = $44

7P + 44 = 96

7P = 52

P = $7.428

Hence "The equation s + 7p = 96 best represents and cost of one pair of paint is $7.428".

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Given question is incorrect, the correct question follows;

Elijah went to the store and bought a pair of shoes for $44 and seven pairs of pants. He spent $96 in total. How much did each pair of paint cost? Help plssss

Answer:

Step-by-step explanation:

The angles remain right angles if you are reflecting over the x axis.

Answer:

my quess is 3 rd one

Step-by-step explanation:

there is a 65% that you fet it right

Answer:

.

Step-by-step explanation:

Answer:

Step-by-step explanation:

One number is 5 more than another number. Three times the first plus twice the second is 30.Find the numbers.

x = first number

y = second number

x=y+5

3x +2y = 30

lets substitute x=y+5 in the second equation for x;

3(y+5) + 2y =30

3y + 15 + 2y = 30

5y + 15 =30

5y = 30 -15

5y = 15

y = 3

Now that we have y lets plug that answer into either equation for y;

x = 3 + 5

x = 8

:) if I’m wrong I’m very sorry.

Answer:

\(b(a) = \frac{a}{7} -5\)

Step-by-step explanation:

Given

\(a(b) = 14 * \frac{b + 5}{2}\)

Required

The inverse function

We have:

\(a(b) = 14 * \frac{b + 5}{2}\)

\(a(b) = 7(b + 5)\)

Rewrite as:

\(a = 7(b + 5)\)

Divide by 7

\(\frac{a}{7} =b + 5\)

Subtract 5

\(b = \frac{a}{7} -5\)

Express as:

\(b(a) = \frac{a}{7} -5\) --- the inverse function

Answer:

70

Step-by-step explanation:

ok, so since you want to find out what the profit is, first you take the times you won and multiply the amount you got for winning so 50*2=100. now that you have 100 you take the money you spent and multiply it by the number of times you played the game so 20*3=30. now that you have those you have everything you need to finish the question. you take the amount you spent per play (30) and subtract it from what you won (100). 100-30=70

Answer: The Profit is $40

Step-by-step explanation:

It costs $20 per turn so if you win you get $30

So $30+$30 = $60 (Because you won twice)

The subtract the $20 you lost $60-$20 = $40

So you earned $40!

By applying logarithmic differentiation to the equation

\(x^2 + (y - ∛(x^2))^2 = 1\), we can find the derivative of y with respect to x. The derivative is given by \(dy/dx = -4x(y - ∛(x^2)) / (2x^2 + 3(y - ∛(x^2))^2)\).

To use logarithmic differentiation, we start by taking the natural logarithm of both sides of the equation: \(ln(x^2 + (y - ∛(x^2))^2) = ln(1).\) Applying the logarithmic property, we can rewrite the equation as

\(ln(x^2) + ln((y - ∛(x^2))^2) = 0.\)

Next, we differentiate both sides of the equation with respect to x. Using the chain rule and the fact that the derivative of ln(u) is du/u, we obtain:

\((2x/x^2) + (2(y - ∛(x^2))/ (y - ∛(x^2))) * (1/2(y - ∛(x^2))) * (d(y - ∛(x^2))/dx) = 0\).

Simplifying the equation, we have

\(2/x + (2(y - ∛(x^2))) / (2(y - ∛(x^2))) * (d(y - ∛(x^2))/dx) = 0\).

Canceling out common factors, we get:

\(2/x + d(y - ∛(x^2))/dx = 0\).

Rearranging the equation to solve for

\(d(y - ∛(x^2))/dx\), we have\(d(y - ∛(x^2))/dx = -2/x.\)

Finally, using the power rule for differentiation, we can express the derivative of y with respect to x as

\(dy/dx = -4x(y - ∛(x^2)) / (2x^2 + 3(y - ∛(x^2))^2).\)

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Factors of the polynomial are: (x - 3)(x + 3)(x - 5).

What if factoring polynomial?

A polynomial with coefficients in a certain field or in integers is expressed as the product of irreducible factors with coefficients in the same domain by the process of factorization of polynomials, also known as polynomial factorization.

Given:  

We have to show tat x - 5 is a factor of the polynomial and to find the factor of the polynomial.

First to show x - 5 is a factor of the given polynomial.

We know that,

If x - 5 is the factor of the given polynomial then by factor theorem x - 5 = 0.

So, x = 5

Plug x = 5 in t(x).

t(5) = 0

That means 5 is the zero of the polynomial t(x).

Therefore, x - 5 is the factor of the polynomial.

Now, to factor the polynomial.

Therefore, after factoring the polynomial we get, .

Answer:

The steps on how to show that the binomial is a factor of the polynomial and then factor the polynomial completely are:

1. Set the binomial equal to 0.

x - 5 = 0

2. Solve for x.

x = 5

3. Substitute the value of x into the polynomial.

t(5) = 5^3 - 5(5^2) - 9(5) + 45

t(5) = 125 - 125 - 45 + 45

t(5) = 0

4. Since the value of the polynomial is 0 when x = 5, the binomial (x - 5) is a factor of the polynomial.

5. To factor the polynomial completely, we can use the difference of squares factorization.

t(x) = (x - 5)(x^2 + 9)

The complete factorization of the polynomial is:

t(x) = (x - 5)(x^2 + 9)

For a number to be even, it has to be divisible by 2.

The only number in the list that is divisible by 2 (that is, when divided by two, the remainder is 0) is 936.

Answer: B) 936

The Integrated Program Management Report (IPMR) extract provides useful information about estimates at completion (EACs) for the contractors' EAC, updated to reflect the latest information, by Work Breakdown Structure (WBS) element.

Integrated Program Management Report (IPMR) extract provides useful information about estimates at completion (EACs) for the contractors' EAC, updated to reflect the latest information, by Work Breakdown Structure (WBS) element.What useful information does this Integrated Program Management Report (IPMR) extract provide an analyst about estimates at completion (EACs)?

The Integrated Program Management Report (IPMR) extract provides useful information about estimates at completion (EACs) for the contractors' EAC, updated to reflect the latest information, by Work Breakdown Structure (WBS) element. IPMR, also known as the CPR Format 1, is a contractually mandated report submitted by contractors to the Government customer.This portion of the IPMR displays the contractor's EAC, updated to reflect the latest information, by Work Breakdown Structure (WBS) element.

The EAC is the contractor's most recent estimate of the entire effort's final cost. In the course of the work, it may be changed numerous times in response to new data and changing conditions.The IPMR extract displays budgeted and estimated at completion values for each element, as well as the variance between the two values.

The EAC reflects the contractor's current assessment of the financial consequences of the work accomplished and the expected cost of completing the effort. The data can include current and cumulative to date BCWS, BCWP, ACWP, and cost and schedule variances.As a result, the Integrated Program Management Report (IPMR) extract provides useful information about estimates at completion (EACs) for the contractors' EAC, updated to reflect the latest information, by Work Breakdown Structure (WBS) element.

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Answer:

The amswer is "2,4,9....."

Step-by-step explanation:

\(x=\frac{1}{7}\\\\x_d=0.\overline{142857}\\\\x_h=0.\overline{249}\\\\\)

by leave you to work out the other 7 digits:

\(\to \frac{1}{7}\approx \frac{a}{16}\\\\a= \text{first hex digit}\\\\a=floor(\frac{16}{7})=2\\\\\)  

\(\to \frac{1}{7}- \frac{a}{16}\approx \frac{b}{16^2}\\\\b= \text{second hex digit}\\\\b=floor(\frac{16^2}{7} -16a)=4\\\\\)  

\(\to \frac{1}{7}- \frac{a}{16}-\frac{b}{16^2} \approx \frac{c}{16^3}\\\\c= \text{third hex digit}\\\\c=floor(\frac{16^3}{7} -16^2a-16b)=9\\\\\)  

I belive your answer should be letter B

Answer:

c

Step-by-step explanation:

the correct choice is c

The square yard of rubbers needed for the park is 187.5 yards².

The new park is built in the shape of a trapezium. Let's find the square yard of rubbers to cover the ground.

Therefore,

area of a trapezium = 1 / 2 (a + b)h

where

Therefore,

a = 10 yards

b = 20 yards

h = 12.5 yards

area of a trapezium = 1 / 2 (10 + 20)12.5

area of a trapezium = 1 / 2 (30)12.5

area of a trapezium = 15 × 12.5

area of a trapezium = 187.5 yards²

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We are given the following equation:

To solve for "x" we will take arccos to both sides:

Solving the operations:

This is for the first quadrant. Dividing both sides by 2:

For the second quadrant we have:

Dividing both sides by 2:

For the third quadrant we have:

Dividing by 2:

For the fourth quadrant:

Dividing by 2:

Therefore, the values of "x" are:

Rounding to the nearest degree, the angle between the vector i + √5j and the positive direction of the x-axis is approximately 63 degrees.

The angle between a vector and the positive direction of the x-axis can be found using the inverse tangent function, also known as arctan. The formula for finding the angle θ between a vector (x, y) and the positive x-axis is given by:

θ = arctan(y/x)

In this case, the vector is i + √5j, so x = 1 and y = √5. Plugging these values into the formula, we get:

θ = arctan(√5/1) = arctan(√5)

The arctan function returns the angle in radians, so we'll need to convert it to degrees. To do this, we multiply by 180/π:

θ = arctan(√5) * (180/π) = 63.43 degrees (rounded to two decimal places)

So, Rounding to the nearest degree, the angle between the vector i + √5j and the positive direction of the x-axis is approximately 63 degrees.

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We can be 95% confident that the true population mean of hours spent watching television by 5 year old children lies between 2.804 and 3.196 hours.

Plugging in the values, we get:

CI = 3 ± 1.96 * (0.5/√50)

CI = 3 ± 0.196

CI = (2.804, 3.196)

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The population from which sample is selected is normally distributed with a population standard deviation 0. 5. The best point of the population mean is equals to the 3 hours and the 95% confidence interval of the population mean is equals to the (2.8614, 3.1386).

A researcher wants to estimate the number of hours that 5 year old children spend watching television so that he consider a sample of 5 year old children with Sample size, n = 50

Sample Mean hours for watching tv

= 3 hours

The population of sample is normally distributed. Population standard deviations = 0.5

A point estimate of the population mean is determined by calculating the sample mean drawn from population. The sample mean is calculated by the sum of all sample values divided by the number of values and denoted by \( \bar X \).

Using the definition, the best estimate of population mean, μ = 3 hours.

Now, we have to determine the 95% confidence interval of the population mean.

Level of significance, α = 1 - 0.95 = 0.05

or α/2 = 0.025

Using the standard normal distribution table, the value of Z₀.₀₂₅ is 1.96. The 95% of confidence interval is a range of values above and below the point estimate. That is \(CI = \bar X - Z_{α/2} \frac{\sigma}{\sqrt{n}} < μ < \bar X + Z_{α/2} \frac{\sigma }{ \sqrt{n}} \\ \)

So, \(CI = 3 - 1.96 \times \frac{0.5}{\sqrt{50}} < μ < 3 + 1.96× \frac{0.5}{\sqrt{50}} \\ \)

=> CI = 3 - 0.1386 < μ < 3 + 0.1386

=> CI = 2.8614 < μ < 3.1386

Hence, the required confidence interval is ( 2.8614, 3.1386).

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Variance and standard deviation are both measures of the dispersion or spread of a dataset, but they differ in terms of the unit of measurement.

Variance is the average of the squared differences between each data point and the mean of the dataset. It measures how far each data point is from the mean, squared, and then averages these squared differences. Variance is expressed in squared units, making it difficult to interpret in the original unit of measurement. For example, if we are measuring the heights of individuals in centimeters, the variance would be expressed in square centimeters.

Standard deviation, on the other hand, is the square root of the variance. It is a more commonly used measure because it is expressed in the same unit as the original data. Standard deviation represents the average distance of each data point from the mean. It provides a more intuitive understanding of the spread of the dataset. For example, if the standard deviation of a dataset of heights is 5 cm, it means that most heights in the dataset are within 5 cm of the mean height.

To illustrate the application of these measures, consider a dataset of test scores for two students: Student A and Student B.

If Student A has test scores of 80, 85, 90, and 95, and Student B has test scores of 70, 80, 90, and 100, we can calculate the variance and standard deviation for each student's scores.

The variance for Student A's scores might be 62.5, and the standard deviation would be approximately 7.91. For Student B, the variance might be 125 and the standard deviation would be approximately 11.18.

These measures help us understand how much the scores deviate from the mean, and how spread out the scores are within each dataset.

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Answer:

d)the observations expressed in standard units

Step-by-step explanation:

The average will change and hence, consequently, so will the deviations from the average and also the standard deviation. so, the only option left is d)

Answer:

what help I can do for you

Answer:

where is the questions

Step-by-step explanation:

you should write correct question

Answer:

the answer is 3

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

First, let's say 4³ is a and 5⁻² is b. We know that (a/b)ⁿ = aⁿ/bⁿ for any n, so

(a/b)⁵ = a⁵/b⁵

=  (4³)⁵ /(5⁻²)⁵

Next, one power rule states that (4³)⁵ = 4 ⁽³ˣ⁵⁾ = 4¹⁵ and (5⁻²)⁵ = 5 ⁽⁻²ₓ⁵⁾=5⁻¹⁰, so

(4³)⁵ /(5⁻²)⁵ = 4¹⁵ / 5⁻¹⁰

Next, anything to a negative power (e.g. x⁻ⁿ) is equal to 1 over the absolute value of the power, so x⁻ⁿ = 1/xⁿ. Applying that here, we can say that

5⁻¹⁰ = 1/5¹⁰

4¹⁵ / 5⁻¹⁰ = 4¹⁵ / (1/5¹⁰) = (4¹⁵/1) / (1/5¹⁰) = 4¹⁵ * 5¹⁰

,,,,,,,,,,,,,,,,,,,,,,

Each pile of plantain fruit would contain 9 fruits. To find the number of fruits in each pile, we need to add up the total number of fruits and divide it by the number of piles.

In this scenario, there were 63 equal piles of plantain fruit and 7 single fruits, resulting in a total of 63 + 7 = 70 fruits. These 70 fruits were divided evenly among 23 travelers. Dividing 70 by 23 gives us the answer of approximately 3.043, but since we are dealing with whole fruits, we round down to 3. Therefore, each pile of plantain fruit would contain 3 fruits.

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s=m×60

Step-by-step explanation:

where s is the seconds,and m is the minutes

for part b,lets use my formular...

s=m×60=s=30×60=1800,therefore,there are 1800 seconds in 30 minutes.pls mark brainliest.

The correct option is (B) The actual time required to deliver all the items to the baggage claim area based on the number of items unloaded will be very close to the time predicted by a least-squares model.

In order to find the line that is most suitable for a set of data, the least squares method is a type of mathematical regression analysis. It offers a visual representation of the relationship between both the data points.

Some characteristics of least square model are-

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The complete question is-

At a large airport, data were recorded for one month on how many baggage items were unloaded from each flight upon arrival as well as the time required to deliver all the baggage items on the flight to the baggage claim area scatter plot of the two variables indicated a Strong; positive linear association between the variables_ Which of the following statements is a correct interpretation of the word ~strong in the description of the association?

(A) least-squares model predicts that the more baggage items that are unloaded from a flight; the greater the time required to deliver the items to the baggage claim area

(B) The actual time required to deliver all the items to the baggage claim area based on the number of items unloaded will be very close to the time predicted by a least-squares model .

(C) The time required to deliver an item to the baggage claim area is relatively constant; regardless of the number of baggage items unloaded from a flight,

(D) The variability in the time required to deliver all items to the baggage claim area is about the same for all flights, regardless of the number of items unloaded from flight

(E) The time required to unload baggage items from a flight is related to the time required to deliver the items to the baggage claim area.