What is the value of the function at x = 3?
Enter your answer in the box.

Answer:

18.333 km

Step-by-step explanation:

since d car used 3litre for 55km so

for 1litre is going to be 55

\(55 \div 3 = 18.33\)

thats it

Answer:

53.87

Step-by-step explanation:

The derivative of f(x) = arccos(x^2) is: f'(x) = -2x / √(1-x^4)

The derivative of f(x) = arccos(x^2), we'll use the chain rule. The chain rule states that the derivative of a composite function is the derivative of the outer function times the derivative of the inner function. In this case, the outer function is arccos(u) and the inner function is u = x^2.

First, let's find the derivative of the outer function, arccos(u). The derivative of arccos(u) is -1/√(1-u^2). Next, we'll find the derivative of the inner function, x^2. The derivative of x^2 is 2x.

Now we'll apply the chain rule. We have:

f'(x) = (derivative of outer function) * (derivative of inner function)

f'(x) = (-1/√(1-u^2)) * (2x)

Since u = x^2, we'll substitute that back into our equation:

f'(x) = (-1/√(1-x^4)) * (2x)

So, the derivative of f(x) = arccos(x^2) is:

f'(x) = -2x / √(1-x^4)

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After you collect your data, you have several options in regards to the null hypothesis. First, you could fail to reject the null hypothesis.

The data did not provide enough evidence to support the alternative hypothesis, and you accept the null hypothesis as the most likely explanation. Second, you could reject the null hypothesis. This means that your data provided enough evidence to support the alternative hypothesis, and you reject the null hypothesis as the most likely explanation. To neither accept nor reject the null hypothesis. The less common option and occurs when your data does not provide enough evidence to reject the null hypothesis, but also does not provide enough evidence to accept it as the most likely explanation.

The null hypothesis after you collect your data include failing to reject it, rejecting it, or neither accepting nor rejecting it.

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Step-by-step explanation:

a. (3 - 2/3) ÷ (4/3 x 7)

= [(3 x 3) / (1 x 3) - 2/3] ÷ 28/3

= (9/3 - 2/3) ÷ 28/3

= 7/3 x 3/28

= 21/84

= (21 x 1) / (21 x 4)

= 1/4

b. 2/3 ÷ 5/6 - 2/5

= 2/3 x 6/5 - 2/5

= 12/15 - 2/5

= (3 x 4) / (3 x 5) - 2/5

= 4/5 - 2/5

= 2/5

c. (- 3/4 + 1/2) ÷ (2/5 - 5/2)

= [- 3/4 + (1 x 12) / (2 x 2)] ÷ [(2 x 2) / (5 x 2) - (5 x 5) / (2 x 5)]

= (- 3/4 + 12/4) ÷ (4/10 - 25/10)

= 9/4 ÷ (- 21/10)

= 9/4 x - 10/21

= - 90/84

= (6 x - 15) / (6 x 14)

= - 15/14.

If you have any doubt, then you can ask me in the comments.

The solution to the given system of equations, using the Gauss-Jordan method, is x = 1, y = 0, and z = 3. This indicates that the system is consistent and has a unique solution. The Gauss-Jordan method helps to efficiently solve systems of equations by transforming the augmented matrix into reduced row echelon form.

To solve the system of equations using the Gauss-Jordan method, we can set up an augmented matrix as follows:

\(\[\begin{bmatrix}1 & -1 & 0 & | & 0 \\0 & 1 & -1 & | & -1 \\-1 & 0 & 1 & | & 4 \\\end{bmatrix}\]\)

We can then perform row operations to transform the augmented matrix into a reduced row echelon form.

First, we swap the first and third rows to start with a non-zero coefficient in the first column:

\(\[\begin{bmatrix}-1 & 0 & 1 & | & 4 \\0 & 1 & -1 & | & -1 \\1 & -1 & 0 & | & 0 \\\end{bmatrix}\]\)

Next, we add the first row to the third row:

\(\[\begin{bmatrix}-1 & 0 & 1 & | & 4 \\0 & 1 & -1 & | & -1 \\0 & -1 & 1 & | & 4 \\\end{bmatrix}\]\)

Now, we add the second row to the third row:

\(\[\begin{bmatrix}-1 & 0 & 1 & | & 4 \\0 & 1 & -1 & | & -1 \\0 & 0 & 0 & | & 3 \\\end{bmatrix}\]\)

From the reduced row echelon form of the augmented matrix, we can read off the solution to the system of equations: x = 1, y = 0, and z = 3. This means that the system of equations is consistent and has a unique solution.

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Answer: A. 20 is the answer.

Step-by-step explanation:

x+40 = 3x

or, 40 = 3x-x

or, 2x = 40

or, x = 40/2

so, x = 20

Step-by-step explanation:

1. 35.7/0.07=510

2. 486.12/0.6=810.2 approximately 810

3. 3.43/0.035=98

4. 5418.54/0.009=602,060

5. 812.5/1.25=650

6. 17.343/36.9=0.47 approximately 1

The appropriate regression model depends on the stationarity properties of both the dependent and independent variables, as well as the error term. The researcher can use a standard OLS regression model with first-order differencing of both Y and X.

In the first scenario, both Y and X are I(0), which means they are stationary time series. In this case, the researcher can perform a standard linear regression analysis, as the stationary series would lead to a stable long-run relationship. The answer from this model will be reliable and less likely to suffer from spurious regressions. In the second scenario, Y is I(2) and X is I(0). This implies that Y is integrated of order 2 and X is stationary. In this case, the researcher should first difference Y twice to make it stationary before performing a regression analysis. However, this approach might not be ideal as the integration orders differ, which can lead to biased results.

In the third scenario, Y and X are both I(1) and the error term is I(0). This indicates that both Y and X are non-stationary time series, but their combination might be stationary. The researcher should employ a co-integration analysis, such as the Engle-Granger method or Johansen test, to identify if there is a stable long-run relationship between Y and X. If co-integration is found, then an error correction model can be used for more accurate predictions.

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option D is the answer!!

Please mark my answer as the brainliest!

Answer:

good vibes.

Step-by-step explanation:

i see baby with good vibes.

Answer:

that right there is the boss of all babies

Answer:   68.5

Step-by-step explanation:

6 cm + 6 cm + 18 cm+ 9.5cm + 3cm + 11cm+ 9cm+ 6cm= 68.5

~Hope this helps ;0~

500 J, is the required work to pull the bucket of water to the top of the well.

From the given question we have the following information

the weight of the bucket is 3kg.

length of rope (h) = 5m

Weight of rope: 7kg

Total weight (rope + bucket) = 10kg

Required Work Done = force × distance travelled (length of rope ) = mgh, where

M = total weight in kg

g--> acceleration due to gravity

h--> length of rope ( height )

g = 10 m/sec² ( default value )

Put all the values in the above formula.

Required work done = 100× 5 = 500 Joules .

So, the bucket of water will require 500J work done for pulling.

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Answer:

the correct answer is the second one

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

When you are trying to find if they are equivalent, you only want to use one value. If they are both positive, it doesn't mean that they are quivalent. They would have to be the same.

The curvature of the elliptic helix at the point when t=0 is 1/18, and the curvature at the point when t=π/2 is 1/15. The curvature measures how sharply the helix bends at a given point.

To find the curvature of the elliptic helix at a specific point, we need to compute the curvature formula using the parametric equations of the helix. The curvature formula is given by:

κ = |T'(t)| / |r'(t)|,

where κ is the curvature, T'(t) is the derivative of the unit tangent vector, and r'(t) is the derivative of the position vector.

For the given elliptic helix r(t) = ⟨9cos(t), 6sin(t), 5t⟩, we first compute the derivatives:

r'(t) = ⟨-9sin(t), 6cos(t), 5⟩,

T'(t) = r''(t) / |r''(t)|,

r''(t) = ⟨-9cos(t), -6sin(t), 0⟩.

At t=0, the position vector is r(0) = ⟨9, 0, 0⟩, and the derivatives are:

r'(0) = ⟨0, 6, 5⟩,

r''(0) = ⟨-9, 0, 0⟩.

Using these values, we can calculate the curvature at t=0:

κ = |T'(0)| / |r'(0)| = |r''(0)| / |r'(0)| = |-9| / √(\(0^2\)+ \(6^2\) + \(5^2\)) = 1/18.

Similarly, at t=π/2, the position vector is r(π/2) = ⟨0, 6, (5π/2)⟩, and the derivatives are:

r'(π/2) = ⟨-9, 0, 5⟩,

r''(π/2) = ⟨0, -6, 0⟩.

Using these values, we can calculate the curvature at t=π/2:

κ = |T'(π/2)| / |r'(π/2)| = |r''(π/2)| / |r'(π/2)| = |-6| / √(\((-9)^2\) +\(0^2\)+ \(5^2\)) = 1/15.

In conclusion, the curvature of the elliptic helix at the point when t=0 is 1/18, and the curvature at the point when t=π/2 is 1/15. These values indicate the rate of change of the tangent vector with respect to the position vector and describe the sharpness of the helix's curvature at those points.

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Answer:

There are 330 plants in his garden

Step-by-step explanation

First, we'll have to find what the problem is asking. Mr. Rodriguez planted 22 rows with 15 plants in each row. How many corn plants did he put in his garden? The problem is asking us how many plants are in his garden if he has  22 rows with 15 plants in each. This is a simple multiplication problem so we'll only multiply 22 by 15.

Then, we have to find out what 22 multiplied by 15 is. If you put 22 multiplied by 15 in a calculator, you'll find an answer of 330.

Therefore, 330 is your answer.

Answer: QPR

Step-by-step explanation:

Angle A is congruent to angle Q

Angle B is congruent to angle P

Angle C is congruent to angle R

Therefore, triangle ABC is congruent to triangle QPR

Answer:

£50.63

Step-by-step explanation:

If €4 = £3

Therefore one €1 = £3/4

Now, Converting  €67.50 to pounds,

67.50 * 3/4 =  £50.625

£50.63 (answer rounded to 2 DP)

Current time conversion,

67.50 Euro equals  60.68 Pound sterling

Step-by-step explanation:

2cm : 15cm so

5cm : 37.5cm

so 5cm is therefore=37.5cm

The note, dated August 18 and due on March 9, runs for a total of 203 days.

The note's duration can be calculated by finding the difference between the due date (March 9) and the date it was issued (August 18). In this case, there are 203 days between these two dates.

A note is a financial instrument that represents a promise to pay a specific amount of money at a future date. In this scenario, the note in question was issued on August 18 and is due on March 9. The duration of the note is determined by the number of days between these two dates. By counting the days, we find that the note runs for a total of 203 days. This period represents the time frame within which the issuer is obligated to repay the amount specified in the note. The duration of the note is an important factor for both the issuer and the holder, as it influences the terms and conditions of the agreement, including any applicable interest rates and repayment schedules.

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The required Matlab code to find the greatest common divisor of a number using the Euclidean algorithm is shown.

To find the greatest common divisor (GCD) of two numbers using the Euclidean algorithm in MATLAB, you can use the following code:

% Replace '12345678' with your actual student number

studentNumber = '12345678';

% Extract the first 4 digits as the first number

firstNumber = str2double(studentNumber(1:4));

% Extract the last 3 digits as the second number

secondNumber = str2double(studentNumber(end-2:end));

% Find the GCD using the Euclidean algorithm

gcdValue = gcd(firstNumber, secondNumber);

% Display the result

disp(['The GCD of ' num2str(firstNumber) ' and ' num2str(secondNumber) ' is ' num2str(gcdValue) '.']);

Make sure to replace '12345678' with your actual student number. The code extracts the first 4 digits as the first number and the last 3 digits as the second number using string indexing. Then, the gcd function in MATLAB is used to calculate the GCD of the two numbers. Finally, the result is displayed using the disp function.

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The probability that for a random sample of 45 wait times, the mean is between 185.7 and 206.5 seconds is 94%.

To solve this problem, we can use the Central Limit Theorem, which states that the distribution of sample means is approximately normal for large sample sizes.

First, we need to calculate the standard error of the mean (SEM) using the formula

SEM = standard deviation / sqrt(sample size)

SEM = 29.5 / sqrt(45) = 4.4

Next, we can standardize the sample mean using the formula

z = (x - μ) / SEM

where x is the sample mean, μ is the population mean, and SEM is the standard error of the mean.

For the lower limit, we have

z = (185.7 - 193.2) / 4.4 = -1.70

For the upper limit, we have

z = (206.5 - 193.2) / 4.4 = 3.02

We can use a standard normal distribution table or calculator to find the probabilities associated with these z-scores.

The probability of z being between -1.70 and 3.02 is approximately 0.9429 or 94%. Therefore, the probability that for a random sample of 45 wait times, the mean is between 185.7 and 206.5 seconds is 94%.

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Answer:

A=2πrh+2πr^2

Step-by-step explanation:

If two number cubes are tossed , then the  probability of a sum of 7 or 11 is  2/9  .

In the question ,

it is given that ,

two number cubes are tossed ,

the probabilities of each sum is given ,

we have to find the probability of a sum of 7 or 11 ,

that is P( sum 7 or 11) ,

to find the probability of sum of 7 or 11 , we add the individual probability of 7 and 11 ,

which is written as ,

P( sum 7 or 11) = P(7) + P(11)

Substituting the value of P(7) and P(11) , from the question ,

we get ,

P( sum 7 or 11) = 1/6 + 1/18

taking LCM of 6 and 18 as 18 and solving further ,

we get ,

= 3/18 + 1/18

= 4/18

= 2/9

Therefore , the probability of P( sum 7 or 11) is = 2/9 .

The given question is incomplete , the complete question is

You toss two number cubes. If a sum of 7 or 11 comes up, you get 7 points, if not you lose 2 points.

The probabilities for each of the sums is:

P(2) = 1/36 P(3) = 1/18 P(4) = 1/12 P(5) = 1/9

P(6) = 5/36 P(7) = 1/6 P(8) = 5/36 P(9) = 1/9

P(10) = 1/12 P(11) = 1/18 P(12) = 1/36

The probability of a sum of 7 or 11 is ?  

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Answer:

4 dollars to get 1 yard

Step-by-step explanation:

Answer:

the answer is 6.966×10^-3

The number line shows the value of 5 - (-8) = 13.

Addition:

Subtraction:

Here the given operation is subtraction. Where a subtrahend is a negative number i.e., -8.

Step1: Start from '5' on the number line.

Step2: Since the subtrahend is a negative number, move to the right side on the number line from '5'.

Step3: Thus, the number obtained on the line is 13.

Step4: Algebraically the result is 5 - (-8) = 5 + 8 = 13.

The number line for this operation is shown below.

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Step-by-step explanation:

you would have to add the the sides and use context to find out the blank rectangles

the ratio 1 is to 2 is equivalent to 3: 6

What is an equivalent ratios?

A ratio compares two quantities named as antecedent and consequent, by the means of division. For example, when we cook food, then each ingredient has to be added in a ratio. Thus, we can say, a ratio is used to express one quantity as a fraction of another quantity.

Two ratios are equivalent to each other if one of them can be expressed as the multiple of the other. Hence, to get the equivalent ratio of another ratio, we have to multiply the two quantities (antecedent and consequent) by the same number.

Given ratios are 2:1 and 3:1

we can write it as 2/1 and 3/1.

The lcm of 2 and 3 is 6.

Multiply denominator of both ratio with 6, we get

2/6 and 3/6 And we can see both the ratios are not equal.

Hence, there are not equivalent ratios.

4:1 and 8:3 are equivalent ratios -----> is false, because 4:1 is equivalent to 8:2

11:2 and 2:11 are equivalent ratios------> is false (because, are reciprocal ratios, not equivalent ratios)

3:1 and 9:3 are equivalent ratios ------> is true

because 3:1 multiply both sides by 3 -----> 3*3:1*3=9:3

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