Let y=(x+sin(x))^3
Find g(x) and f(x) so that y=(f∘g)(x), and compute the derivative using the Chain Rule
f(x)=
g(x)=
(f o g)' =

Answer:

3,850

Step-by-step explanation:

have a good day!!

Answer:

16 - x = -2

16 + 2 = x

x = 18

hope it helps!

Answer:

I think the common difference is 2. The formula to create the sequence is n (number) is multiplied by 2.

1 x 2 = 2

2 x 2 = 4

4 x 2 = 8

8 x 2 = 16

16 x 2 = 32

32 x 2 = 64

64 x 2 = 128

128 x 2 = 256  

256 is the 8th term of the sequence. Since your question says that we should look for the sum, add the number of the sequence I guess.  

2 + 4 +8 + 16 + 32 + 64 + 128 + 256 = 510

Colin has lived by the biblical ideal of avoiding debt, purchasing the lowest item, repaying a loan, and being financially honest.

With an auto loan, you may borrow money from a bank and use it to purchase a vehicle. The loan must be repaid with interest over a defined period of time in fixed instalments from you.

Lenders will aim for a credit score of at least 750 when you apply for a vehicle loan.

The additional costs won't dramatically raise the price of the automobile because of the low interest rate. The periodic payments won't put undue strain on your current or next finances.

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Answer:true

Step-by-step explanation:

The equation of the function g(x) is g(x) = (x -4)/(x + 8)

The complete question is given as:

if g(x + h) = (x + h - 4)/(x + h + 8), determine the function g(x)

So, we have:

The function is given as:

g(x + h) = (x + h -4)/(x + h + 8)

To determine the function g(x), we simply substitute x + h for x in the equation g(x + h) = (x + h -4)/(x + h + 8)

So, we have

g(x) = (x -4)/(x + 8)

The above equation cannot be further simplified

Hence, the equation of the function g(x) is g(x) = (x -4)/(x + 8)

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Complete question

if g(x + h) = (x + h - 4)/(x + h + 8), determine the function g(x)

Thus, the velocity of money in would be 3.5 .

The velocity of money is a measure of the rate at which money changes hands in an economy. It is calculated by dividing the nominal GDP by the money supply.

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Comparing the means of the two samples, we find that the difference between the means is significant. Therefore, we can reject the claim and conclude that male and female high school students have different exam scores.

To perform the two-sample t-test, we first calculate the standard error of the difference between the means using the formula:

SE = sqrt((s1^2 / n1) + (s2^2 / n2))

Where s1 and s2 are the population standard deviations of the male and female students respectively, and n1 and n2 are the sample sizes. Plugging in the values, we have:

SE = sqrt((47^2 / 49) + (4.3^2 / 53))

Next, we calculate the t-statistic using the formula:

t = (x1 - x2) / SE

Where x1 and x2 are the sample means. Plugging in the values, we have:

t = (239 - 21.1) / SE

We can then compare the t-value to the critical t-value at α = 0.01 with degrees of freedom equal to the sum of the sample sizes minus 2. If the t-value exceeds the critical t-value, we reject the null hypothesis.

In this case, the t-value is calculated and compared to the critical t-value using the provided standard normal distribution table. Since the t-value exceeds the critical t-value, we can reject the claim that male and female high school students have equal exam scores.

Therefore, the correct answer is:

B. Male and female high school students have different exam scores.

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The correct option is A. The Proterozoic period includes the events that occurred between 2500 and 542 million.

Utilizing the characteristics of radiocarbon, a radioactive isotope of carbon, it is possible to determine the age of an object made of organic material using the radiocarbon dating method. Willard Libby created the technique at the University of Chicago in the late 1940s.

Here, we have

Given:

Following statements and we have to find the example of numerical date.

There are two types of dating that we usually see. First is relative dating and second is numerical dating. Relative dating talks about the date of something in relation to another while numeric dating attacks on a particular date directly.

Options B and D are absolutely incorrect since they are directed toward relative dating. In numerical dating, we also include the range of a period in the number of years. Hence option A is correct. Options C and E are also correct as they direct toward a particular time period.

Hence, the Proterozoic period includes the events that occurred between 2500 and 542 million.

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Question: Which of the following is an example of a numerical date? CHOOSE ALL THAT APPLY.

A. The ash layer is younger than the shale.

B. The caldera formed before the Holocene.

C. The limestone formed at the end of the Ordovician.

D. The sandstone is older than the Mesozoic basalt.

E. The pumice is 43 million years old.

Answer:

(-3, -8)

Step-by-step explanation:

The point is in the third quadrant, so both coordinates must be negative. -3 represents the x coordinate and -8 represents the y coordinate.

The maximal amount of medically unsupervised weight loss that an adult should aim for in one week is generally 1-2 pounds (0.5-1 kg). This is because losing weight too quickly can be harmful to your health and lead to a number of negative side effects, such as muscle loss, fatigue, dehydration, and gallstones.

It's important to note that the amount of weight an individual can lose in a week can vary depending on factors such as their starting weight, body composition, and overall health. In some cases, a doctor or other medical professional may recommend a faster rate of weight loss under close supervision, but this is generally reserved for people who are severely overweight or have medical conditions that require rapid weight loss.

Ultimately, it's important to approach weight loss in a healthy and sustainable way, with a focus on making long-term lifestyle changes rather than relying on quick fixes or fad diets. A balanced diet, regular exercise, and a consistent sleep schedule are all important components of a healthy weight loss plan.

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Answer:

12m + 9

Step-by-step explanation:

3(5m) is 15m

3(3) is 9

which makes 15m + 9

then 15m - 3m is 12m

Answer:

12m+9

Step-by-step explanation:

You first need to distributive the 3 into the parentheses:

3(5m +3) - 3m

15m + 9 - 3m

Next, you need to combine like terms:

15m + 9 - 3m

12m + 9

So the correct answer is 12m + 9. Hope this helps!

Answer:

The answer is 1.

Step-by-step explanation:

9 times 7 equals 63. 6 times 7 equals 42. 3 times 7 equals 21.

63 take away 42 is 21.

21 divided by 21 is 1!

Answer:

I'm not sure which one it is, so I did both.

1. 9b-(6b/3b) = 9b-2

b = 7

9(7)-2 = 61

2. (9b-6b)/3b = 1

Answer:

No, the game is not fair because Christopher has a higher probability of winning than Janet.

Step-by-step explanation:

christopher's probability: 9/19

janet probability: 7/19

The monthly payment amount is $217.42 and the finance charge is $413.02.

The payment amount and finance charge can be found by using the formula below

Payment amount formula: PMT = (P x R x (1 + R)^N) / ((1 + R)^N - 1)

Finance charge formula: Finance charge = Total payment - Loan amount

Where P = Loan amount

R = Interest rate per period

N = Number of periods

Given that a loan is made for $4800 with an APR of 12% and payments made monthly for 24 months

Therefore,P = $4800R = 12% / 12 = 1% per month

N = 24

Using the Payment amount formula above: PMT = (P x R x (1 + R)^N) / ((1 + R)^N - 1)

PMT = ($4800 x 0.01 x (1 + 0.01)^24) / ((1 + 0.01)^24 - 1)

PMT = $217.42

Hence, the monthly payment amount is $217.42 (rounded to two decimal places).

Using the finance charge formula above: Finance charge = Total payment - Loan amount

Total payment = Payment amount x Number of periods

Total payment = $217.42 x 24 = $5213.02

Finance charge = $5213.02 - $4800

Finance charge = $413.02

Hence, the finance charge is $413.02 (rounded to two decimal places).

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Answer:

\(13.86\)

Step-by-step explanation:

you should see 2 triangles with angle 60 bounded by two equal sides of 4

\(=2(\frac{1}{2} (4)(4)sin 60)\\=13.86\)

Answer:10 wrong

Step-by-step explanation:

I am smart

Hope it helps :)

(a) The real discrete Fourier transform (DFT) is calculated for the given data set to analyze the helicopter's acoustic signature.

(b) To obtain the ck values and illustrate the relative size of each term in the Fourier series, we calculate the magnitude of each coefficient and plot their amplitudes on a bar graph against the corresponding frequency component, k.

To analyze the helicopter's acoustic signature, the real DFT is computed for the provided data set. The DFT transforms the time-domain measurements of acoustic pressure into the frequency domain, revealing the different frequencies present and their corresponding amplitudes. This analysis helps in understanding the spectral characteristics of the helicopter's acoustic signature and identifying prominent frequency components.

Using the Fourier series representation, the amplitudes (ck's) of the different frequency components in the Fourier series are determined. These amplitudes represent the relative sizes of each term in the series, indicating the contribution of each frequency component to the overall acoustic signature. By plotting the amplitudes on a bar graph, the relative strengths of different frequency components become visually apparent, enabling a clear comparison of their importance in characterizing the helicopter's acoustic signature.

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K-means clustering is the process of organizing observations into one of a number of groups based on a measure of similarity. It is a type of unsupervised learning algorithm that sorts data points into groups, called clusters, based on their similarity to one another. This technique is commonly used in pattern recognition, image analysis, and data mining.

K-means clustering begins by randomly assigning each data point to one of k clusters. Then, the algorithm iteratively moves each data point to the cluster whose mean is closest to it. The process continues until there are no more changes in cluster membership or some other stopping criterion is met.

K-means clustering is not used to agglomerate observations into a series of nested groups based on a measure of similarity, nor is it used to estimate the value of a continuous outcome variable. It also does not reduce the number of variables to consider in a data-mining approach. Rather, it is a technique for clustering data points based on their similarity to one another.

In conclusion, K-means clustering is the process of organizing observations into one of a number of groups based on a measure of similarity. The algorithm sorts data points into groups called clusters based on their similarity to one another.

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the value today of the money machine is approximately $29,499.48.

The formula to calculate the present value of an annuity is:

PV = C * (1 - (1 + r)^(-n)) / r

PV is the present value

C is the cash flow per period

r is the interest rate per period

n is the number of periods

Cash flow per year (C) = $4,161.00

Number of years (n) = 23.00

Interest rate (r) = 15.00%

First, let's convert the annual interest rate to a decimal and calculate the interest rate per period:

r = 15.00% / 100 = 0.15

PV = $4,161.00 * (1 - (1 + 0.15)^(-23)) / 0.15

Using a calculator, we find that the present value (PV) is approximately $29,499.48.

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Answer:

Loss=Rs 80

Loss%=4%

Step-by-step explanation:

Cost price of trousers for Ujeli=Rs2000

Marked price for trousers =Rs 2400

Reduction of MP(take it as discounted) =20%

Selling price=MP-20%of MP=2400 - 20/100 * 2400 = 2400 - 480 = Rs 1920

Loss amount =CP - SP = 2000 - 1920 = Rs 80

Loss% =loss amt/CP *100 =80 / 2000 *100 =4%

Hope this helps!!

The piecewise function graphed in this problem is given as follows:

C) y = x² + 2, x < 1, y = -x + 2, x ≥ 1.

A piece-wise function is a function that has different definitions, depending on the input of the function.

To the left of x = 1 in this problem, we have the quadratic function with vertex at (0,2), hence it is given as follows:

y = x² + 2, x < 1.

To the right of x = 1, including x = 1, we have a linear function with slope of -1 and intercept of 2, hence it is given as follows:

y = -x + 2, x ≥ 1.

Thus option C is the correct option for this problem.

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The expected distance between two random points drawn uniformly from the interval [0, 1] is 1/3.

Let X and Y be the positions of the first and second random points drawn uniformly from the interval [0, 1]. The expected value of X is 1/2, and the expected value of Y is also 1/2, since the two points are drawn independently.

To find the expected distance between the two points, we can use the formula for the expected value of a function of two random variables:

E[√((X-Y)^2)] = ∫∫ √((x-y)^2) f(x,y) dxdy

where f(x,y) is the joint probability density function of X and Y.

Since X and Y are independent and uniformly distributed on the interval [0, 1], the joint probability density function is f(x,y) = 1 for 0 ≤ x, y ≤ 1 and 0 otherwise.

Evaluating the integral, we get:

E[√((X-Y)^2)] = ∫∫ √((x-y)^2) f(x,y) dxdy

= ∫0^1 ∫0^1 √((x-y)^2) dxdy

= ∫0^1 ∫0^x √((x-y)^2) dy dx + ∫0^1 ∫x^1 √((x-y)^2) dy dx

= 2 ∫0^1 ∫0^x √((x-y)^2) dy dx (by symmetry)

To evaluate this integral, we can use the substitution u = x - y, which gives:

2 ∫0^1 ∫0^x √((x-y)^2) dy dx = 2 ∫0^1 ∫0^x √(u^2) du dx

= 2 ∫0^1 ∫0^x u du dx

= 2 ∫0^1 (1/2) x^2 dx

= 1/3

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Solution

-8 r + 8r =0

And the correct answer would be:

Inverse property of addition

Answer: 1 and 1/10

Step-by-step explanation:

First we can find find a common denominator

5 can go into 10 2 times

2/5 x 2 = 4/10

Now we add:

7/10 + 4/10 = 11/10

Now we can simplify:

11 is more than 10 so we can make a mixed number

1 and 1/10

We cannot simplify this number any more.

Answer:

D)

Step-by-step explanation:

x² + 3x + (3/2)² = 6 - 8 + (3/2)²

(x + 3/2)² = -2 + 9/4

(x + 3/2)² = -8/4 + 9/4

(x + 3/2)² = 1/4

Answer:

D is the answer

Step-by-step explanation:

x² + 3x + (3/2)² = 6 - 8 + (3/2)²

(x + 3/2)² = -2 + 9/4

(x + 3/2)² = -8/4 + 9/4

(x + 3/2)² = 1/4

Hope this helps you ;)

Have a great day

Mark brainliest

Answer:

f(x) = (-1/2)(x^2 + 8x - 15)

Step-by-step explanation:

This function has two roots:  -3 and 5.  Most likely it is a quadratic (all of which have two roots).

Then f(x) = a(x + 3)(x - 5)

The graph goes through (1. 8):  Therefore, y = 8 when x = 1:

f(1) = a(1 + 3)(1 - 5) = 8, or

        a(4)(-4) = 8, or

            -16a = 8, which leads to a = -1/2.

Thus the quadratic in question is f(x) = (-1/2)(x + 3)(x - 5), or

                                                        f(x) = (-1/2)(x^2 + 8x - 15)

The function is a quadratic function given by f(x) = (-1/2)(x + 3)(x - 5) and f(x) = (-1/2)(x² + 8x - 15).

A function is a law that relates a dependent and an independent variable.

The function has x-intercepts at (-3,0) and (5,0),

The function  has two roots:  -3 and 5

So, the equation is a quadratic equation represented by

f(x) = a(x + 3)(x - 5)

The function goes through the point (1. 8)

y = 8 when x = 1

f(1) = a(1 + 3)(1 - 5) = 8

-16a = 8,

a = (-1/2)

f(x) = (-1/2)(x + 3)(x - 5)

f(x) = (-1/2)(x² + 8x - 15)

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Answer:

70

Step-by-step explanation:

Hello there! Let's work this through:

Firstly, we might want to simply 2 1/2 into 5/2, for simplification.

So, we now have 4 * 7 * 5/2

Simplifying we have \(\frac{4*7*5}{2}\)

We see that we can easily simplify 4/2 into 2 * 7 * 5

Further simplifying we get 10*7

Last bit and we get our answer of 70

From here we get 2

Answer:

m>60

Explanation:

Let the number of miles driven = m

Company A charges $97 and allows unlimited mileage.

Company B has an initial fee of $55 and charges an additional $0.70 for every mile driven.

When the charge for Company A is less than that of Company B:

We then solve the inequality for m:

Company A will charge less than Company B when the number of miles driven, m is greater than 60.