if r(t)= sint, then find r(14)(π/3)

The sequence of steps you provided is generally correct for training a perceptron, although there are some additional steps that might be included in the process depending on the specific implementation.

Here is a more complete list of steps that might be followed in training a perceptron:

It's important to note that the specific details of how the perceptron is trained will depend on the specific implementation, such as the optimization algorithm used to update the weights, the size of the training dataset, and the number of epochs (iterations) of training.

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Answer:

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

Step-by-step explanation:

list all of your perfect squares

\(\sqrt{1}, \sqrt{4} ,\sqrt{9} , \sqrt{16} , ...\\\)

So \(\sqrt{5}\) is between \(\sqrt{4} and \sqrt{9}\) so it is between 2 and 3

If that is a negative \(\sqrt{30}\) then it is between square root of 25 and 36, which would be -5 and -6

-\(\sqrt{15}\) is between  \(\sqrt{9} and \sqrt{16}\) so -3 and -4

Answer:

The distance between the tire swing and the monkey bars is 10 feet.

Answer:

12 players

Step-by-step explanation:

1670.5-1013.5 = 657

657/54.75 = 12

so 12 players

Two or more expressions with an Equal sign is called as Equation. 12 players the team can bring to the tournament.

Two or more expressions with an Equal sign is called as Equation.

Given that Members of a lacrosse team raised $1670.50 to go to a tournament.

The rent of the bus is $1013.50.

Now we need to find the left out fund after removing the rent of bus.

so one thousand six hundred and seventy point five minus one thousand and thirteen point five equal to six hundred and fifty seven.

1670.5-1013.5 = $657

The budget for each meal of player is $54.75.

Divide $657 by $54.75. to get the number of players.

657/54.75 = 12.

Hence 12 players the team can bring to the tournament.

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This matches with option (d). Therefore, the integral that will find the area of the surface generated by revolving the curve f(x) = 5 cos(x) with 0 ≤ x ≤ π/3 about the x-axis is:

\(∫[0,π/3] cos(x)√[1 + 25sin^2(x)] dx\)

The formula to find the surface area generated by revolving the curve f(x) about the x-axis from a to b is given by:

\(A = 2π ∫[a,b] f(x) √[1 + (f'(x))^2] dx\)

Here, we have f(x) = 5 cos(x) and a = 0, b = π/3. Therefore, we have:

\(A = 2π ∫[0,π/3] 5cos(x) √[1 + (-5sin(x))^2] dx\)

Simplifying the expression under the square root:

\(1 + (-5sin(x))^2 = 1 + 25sin^2(x)\)

Substituting this back in the above formula, we get:

\(A = 2π ∫[0,π/3] 5cos(x) √[1 + 25sin^2(x)] dx\)

This matches with option (d). Therefore, the integral that will find the area of the surface generated by revolving the curve f(x) = 5 cos(x) with 0 ≤ x ≤ π/3 about the x-axis is:

∫[0,π/3] cos(x)√[1 + 25sin^2(x)] dx

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The specific name of the quadrilateral is kite

The measures of the missing angles are 75 degrees each

To determine the measure of the angle, we need to know the different properties of a kite.

The properties of a kite includes;

Since the adjacent angles are equal, we have that;

105+ x = 180

collect the like terms, we have;

x = 180 - 105

x = 75 degrees

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The quadrilateral is a kite and the missing angles are 105° and 45°

A kite is a quadrilateral that has 2 pairs of equal-length sides and these sides are adjacent to each other.

A kite has a pair of equal angle and the diagonals of a kite meets at 90°.

In a kite , there are two pairs of congruent or equal sides.

This means that the missing angles are

The opposite angle to 105 is also 105°

The fourth angle is calculated as;

105+105+105+x = 360

= 315 +x = 360

x = 360- 315

x = 45°

Therefore the quadrilateral is a kite and the missing angles are 105° and 45°

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Answer:

Step-by-step explanation:

a

The type of sampling described, where the researchers intentionally select a sample with 50% straight and 50% LGBTQ+ respondents, is known as "disproportionate stratified sampling."

A. Disproportionate stratified sampling involves dividing the population into different groups (strata) based on certain characteristics and then intentionally selecting a different proportion of individuals from each group. In this case, the researchers are dividing the population based on sexual orientation (straight and LGBTQ+) and selecting an equal proportion from each group.

B. Availability sampling (also known as convenience sampling) refers to selecting individuals who are readily available or convenient for the researcher. This type of sampling does not guarantee representative or unbiased results and may introduce bias into the study.

C. Snowball sampling involves starting with a small number of participants who meet certain criteria and then asking them to refer other potential participants who also meet the criteria. This sampling method is often used when the target population is difficult to reach or identify, such as in hidden or marginalized communities.

D. Simple random sampling involves randomly selecting individuals from the population without any specific stratification or deliberate imbalance. Each individual in the population has an equal chance of being selected.

Given the description provided, the sampling method of intentionally selecting 50% straight and 50% LGBTQ+ respondents represents disproportionate stratified sampling.

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Answer:

Step-by-step explanation:

To solve an algebraic expression in simplest form, you can follow these steps:

1. Use the order of operations (PEMDAS) to simplify any arithmetic in the expression (parentheses, exponents, multiplication and division, addition and subtraction).

2. Combine like terms by adding or subtracting any coefficients in front of similar variables.

3. Divide or multiply both sides of the equation by the same non-zero number to solve for the variable.

4. If possible, factor the expression to make it simpler.

5. If the expression is a fraction, check for a common denominator and then simplify by canceling any common factors in the numerator and denominator.

6. If the expression is a radical, check for a perfect square and simplify by taking the square root of the number inside the radical.

7. Use the properties of exponents and logarithms to simplify the expression.

8. Evaluate the expression by plugging in the values of any known variables.

It's important to keep in mind that there may be multiple ways to simplify an algebraic expression and the solution that is in simplest form may not always be obvious.

Answer:

=====================

Slope-intercept form is:

Given line in standard form:

Convert this to slope-intercept form:

Answer:

\(\boxed{y=\dfrac{3}{4}x-\dfrac{3}{4}}\)

\(\implies \textsf{Slope}=\dfrac{3}{4}\)

\(\implies \textsf{$y$-intercept}=-\dfrac{3}{4}\)

Step-by-step explanation:

\(\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}\)

Given equation:

\(-3x+4y+3=0\)

To write the given equation in slope-intercept form, rearrange the equation to isolate y.

Add 3x to both sides of the equation:

\(\implies -3x+4y+3+3x=0+3x\)

\(\implies 4y+3=3x\)

Subtract 3 from both sides of the equation:

\(\implies 4y+3-3=3x-3\)

\(\implies 4y=3x-3\)

Divide both sides of the equation by 4:

\(\implies \dfrac{4y}{4}=\dfrac{3x-3}{4}\)

\(\implies y=\dfrac{3}{4}x-\dfrac{3}{4}\)

Compare the rearranged equation with the slope-intercept formula:

\(\implies \textsf{Slope}=\dfrac{3}{4}\)

\(\implies \textsf{$y$-intercept}=-\dfrac{3}{4}\)

The​ chi-squared statistic measures which of the "goods of fit". Therefore option B is correct.

The chi-squared statistic is a statistical measure that is used to test the goodness of fit between an observed frequency distribution and an expected frequency distribution. It measures how well the observed values fit the expected values and quantifies the differences between them.

The calculation of the chi-squared statistic involves comparing the observed and expected frequencies for each category and computing a sum of squared differences between them, divided by the expected frequency. The resulting value indicates the degree to which the observed frequencies differ from the expected frequencies.

In summary, it can be sais that the chi-squared statistic is used to assess whether the observed frequencies are consistent with the expected frequencies or not , and it is commonly used in hypothesis testing, particularly in testing for independence in contingency tables or testing the fit of a model to observed data.

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Answer:

Choice D - 8cm and 9cm.

Step-by-step explanation:

The other sides are not greater than 13.

A: 5 + 8 = 13

B: 6 + 7 = 13

C: 7 + 2 = 9

However, D is greater than 13 and is the correct answer.

D: 8 + 8 = 16.

Option d: 8 cm and 9 cm.

There is a theorem in mathematics stating:

" The sum of length of two sides of any triangle is greater than the rest third side"

According to that theorem, first three given options cant form the sides of the given triangle whose one side is 13 cm.

The 4th option has 8 cm and 9 cm for which we have:

8 + 9 > 13

Thus this option follows the theorem.

Hence fourth option is correct.

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Answer:

2 seconds, assuming the "?" in the equation is supposed to be ^2 (the exponent of 2):  f(h) = -16x^2 +64x + 80

Step-by-step explanation:

You can either graph the functuion or take the first derivative to find the maximum height.  The first derivative will give us the slope for a values of x.  The slope at the top height of the rocket is zero, since it has stopped and is starting it's way back down.

First Derivative:

f(x) = -16x^2 +64x + 80

f'(x) = -32x + 64

Set this equal to zero and solve for x

0 = -32x + 64

x = 2 seconds.

Use 2 seconds in the original equation to find the height at 2 seconds.

f(2) = -16x^2 +64x + 80

f(2) = -16(2)^2 +64*(2) + 80

f(2) = 144 feet

Graph:

A graph is attached.  You can locate the maximum at (2,144)

The set of numbers are rational numbers but not integers whole numbers or natural numbers are { 1/2, 1/4, 1/8}.

Hence the third option is correct.

Use the concept of rational number defined as:

A rational number is a number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

It can be represented as p/q,

Where p and q are integers and q is not equal to zero.

Examples of rational numbers include 1/2, -3/4, and 5/7.

Now analysing the given options we can see that,

The numbers 1/2, 1/4 and 1/8 are rational but not an integer.

Therefore,

The set  { 1/2, 1/4, 1/8} is the correct one, which is option third.

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The required sample size is approximately 386 to be 95% confident that the sample percentage is within 5.8 percentage points of the true population percentage.

To determine the required sample size for desired confidence level and margin of error, we can use the formula for sample size calculation:

\(\[ n = \left(\frac{{Z^2 \cdot p \cdot (1-p)}}{{E^2}}\right) \]\)

Where:

\(\( n \)\) = required sample size

\(\( Z \)\) = Z-score corresponding to the desired confidence level (for 95% confidence, \(( Z = 1.96 \))\)

\(\( p \)\) = estimated proportion (0.5 can be used as a conservative estimate when the true proportion is unknown)

\(\( E \)\) = desired margin of error (5.8 percentage points)

Plugging in the values into the formula:

\(\[ n = \left(\frac{{1.96^2 \cdot 0.5 \cdot (1-0.5)}}{{0.058^2}}\right) \]\)

\(\( n \approx 385.9 \)\)

Since sample size must be a whole number, we round up to the nearest integer.

Therefore, the required sample size is approximately 386 to be 95% confident that the sample percentage is within 5.8 percentage points of the true population percentage.

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Answer:

Porportional

Step-by-step explanation:

Its a straight line.

Answer:

34 cubic cm

Step-by-step explanation:

V = \(\frac{4}{3}\)\(\pi\)r³

V = \(\frac{4}{3}\)\(\pi\)(2)³

V = (8)\(\frac{4}{3}\)\(\pi\)

V = 10\(\frac{2}{3}\)\(\pi\)

V = 33.5103216383

33.5 cubic cm --> 34 cubic cm

The answer's: 33cm^3

The answer is  \(\frac{5}{10}\)

And that is correct

Answer:

5/10

Step-by-step explanation:

can be reduced to 1/2 or 0.5

The approximate circumference of spaceship Earth is 160m

The formula for calculating the volume of a sphere is given as;

V = 4/3 πr³

Given that;

Now, substitute the values

65417 = 1. 3 ×3.14r³

Multiply the values

65417 = 4. 082r³

Make r the subject

r³ = 16025. 722

Find the cube root

r = 25. 2m

The circumference is expressed as;

Circumference = 2πr

Substitute the values, we have;

Circumference = 2× 3.14 × 25.2

Circumference = 160 m

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Answer:

m∠1 +m∠8 = 90°

Step-by-step explanation:

The sum of angle 1 and angle 8 is 90 degrees. Then the correct option is D.

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

Vertically opposite angle - When two lines intersect, then their opposite angles are equal.

Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.

Let angle 1 be x. Then we have

∠ 1 = ∠ 3 = x (vertically opposite angles)

∠ 9 + ∠ 3 = 90 (complementary angles)

∠ 9 = 90 - x

∠ 9 + ∠ 10 = 90 (complementary angles)

∠ 10 = x

∠ 10 + ∠ 8 = 90 (complementary angles)

∠ 8 = 90 - x

Then the sum of angle 1 and angle 8 is 90 degrees. Then we have

∠ 1 + ∠ 8 = x + 90 - x

∠ 1 + ∠ 8 = 90

Then the correct option is D.

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Answer:

Step-by-step explanation:

25h + 40 = −15h − 80

25h + 15h = -80 - 40

40h = - 120

h = -120/4

h= -3

Answer:

h = -3

Step-by-step explanation:

25h +40 = -15h -80

-----------------------------

40h = -120

h= -3

When the consumption schedule lies below the 45-degree reference line, it means that at every level of income, people are consuming less than their income.

The consumption schedule represents the relationship between income and consumption in an economy, while the 45-degree reference line represents the line where income and consumption are equal.

In this scenario, saving occurs because people are not spending all of their income. The difference between their income and consumption is their savings. Thus, the amount of saving in the economy will increase as the consumption schedule moves further below the 45-degree reference line.

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When the consumption schedule lies below the 45-degree reference line, saving what does it means?

Answer:

4

Step-by-step explanation:

1/3x = x-12 thatsthe equation you use

Answer:

the answer is the second one: the cost for every one videogame rented.

Step-by-step explanation:

Each videogame costs $5.

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

If you started with 100 grams of radon-222 and it has a half-life of 2.183 days, after 4 days, 46.6 grams of radon-222 will remain.

The half-life of a radioactive element is the time it takes for half of the atoms in a sample to decay. This means that after one half-life, the amount of the element remaining will be half of the original amount. After two half-lives, the amount remaining will be a quarter of the original amount, and so on.

To find the amount of radon-222 remaining after 4 days, we can divide the length of time by the half-life to find out how many half-lives have passed. In this case, 4 days / 2.183 days = 1.84 half-lives. This means that the amount of radon-222 remaining will be a quarter of the original amount.

If we started with 100 grams of radon-222 and a quarter remains after 1.84 half-lives, the amount remaining will be 100 grams * 0.25 = 46.6 grams.

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The table of values has an average rate of change of -1/6 over the interval 24 ≤ x ≤ 96

The table represents the given parameter

Also, from the question, we have the interval to be

24 ≤ x ≤ 96

This interval can be represented as

(a, b) = [24, 96]

Such that

a = 24 and b= 96

From the table of values, we have the following notations

f(24) = 50

f(96) = 38

This means that

f(a) = 50

f(b) = 38

Where a = 24 and b= 96

The average rate of change at this interval is then calculated as

Average rate = [f(b) - f(a)]/[b - a]

Substitute the known values in the above equation, so, we have the following representation

Average rate = [50 - 38]/[24 - 96]

Evaluate

Average rate = -1/6

Hence, the average rate of change is -1/6

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Answer:

Step-by-step explanation:

3 (4 -6) = -8 is correct.  The next step is to combine 4 and -6, obtaining

3(-2)

and this 3(-2) should equal -6, which is not the same as -8.

3(4 - 6) = 12 - 18, which differs from the student's solution.  This is the reason for the wrong answer.

To find the partial fraction decomposition of the rational function \(\frac{x^2-16}{x^2-3x-10}\), we first factorize the denominator as \((x-5)(x+2)\). The numerator, \(x^2-16\), can be further simplified as \((x+4)(x-4)\).

Now, we can express the rational function as a sum of partial fractions:

\(\frac{x^2-16}{x^2-3x-10} = \frac{A}{x-5} + \frac{B}{x+2}\),

where \(A\) and \(B\) are constants. To determine these constants, we can multiply both sides by the common denominator \((x-5)(x+2)\) and equate the numerators. This gives us the following equation:

\(x^2-16 = A(x+2) + B(x-5)\).

Expanding and comparing the coefficients, we find \(A = 4\) and \(B = -3\). Therefore, the partial fraction decomposition of the given rational function is:

\(\frac{x^2-16}{x^2-3x-10} = \frac{4}{x-5} - \frac{3}{x+2}\).

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a, as in apple

x>= 4