What are the solutions to the equation sine of the quantity x minus pi over 2 end quantity equals negative radical 2 over 2 on the interval [0, 2π]?

open bracket pi over 4 comma 3 times pi over 4 close bracket
open bracket pi over 4 comma 7 times pi over 4 close bracket
open bracket negative pi over 4 comma 3 times pi over 4 close bracket
open bracket 3 times pi over 4 comma 5 times pi over 4 close bracket

Answer:

Step-by-step explanation:

If 24 muffins cost 46$ how much does 1 muffin cost?

46 : 24 =

1,916666666666667$

(the total cost is 46$ or 48? are you sure?)

Hey there!

It costs about $46 for 24 muffins, so in order to find out the total cost for 1 muffin you have to DIVIDE 46 from 24 or 24 from 46.

So, lets first divide 46 from 24

46 / 24

= 46 ÷ 24

= 46 ÷ 2 / 24 ÷ 2

= 23 / 12

= 1.916667

≈ 1.92

Therefore, your answer is: $1.92

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

y=-\(\frac{1}{3}\)x-3

Step-by-step explanation:

Hope this helps!

Answer:-2.3,11.,11.,-0.25 or  x2 - 10x - 25- -5

Step-by-step explanation:

u just go in a TI-nspire CX calculator and type in in how it looks

Answer:

Step-by-step explanation:

The rate of change of the radius dr/dt = . 75 in/min because the radius is increasing with respect to time. hence, the volume is increasing at a rate of 75π cu in/min when the radius has a length of 5 inches.

Answer: Pythagorean triples are given by the formula:- AC² = AB² + BC²

The third side in the right triangle measures 23 units

Step-by-step explanation: The Pythagoras theorem as stated in the answer above is used in mathematics to solve for an unknown side(s) in any right angled triangle.

Pythagorean triples are so named because it refers to a right angled triangle in which the values of all three sides are always the same set of three numbers, and changing one of them changes everything completely. A very common Pythagorean triple is given as 3, 4 and 5. This means, the right angled triangle has sides measuring 3, 4 and 5. Hence to solve a right angled triangle with two sides given as 3 and 4 with the Pythagoras theorem is already half solved as the answer would always be 5.

Therefore, in a right triangle with leg lengths of 16, the first thing to note is that this a right isosceles triangle. We know this because a triangle with two legs having the same length is an isosceles triangle. That leaves us with the third side which is the hypotenuse. The Pythagoras formula just as stated above is given as follows;

AC² = AB² + BC²

Where AC is the hypotenuse (longest side), and AB and BC are the other two sides.

AC² = 16² + 16²

AC² = 256 + 256

AC² = 512

Add the square root sign to both sides of the equation

√AC² = √512

AC = 22.62741699...

AC ≈ 23

Therefore the Pythagorean triple as required by the question is given as

16, 16 and 23

The dimensions of the rectangle are width = 7/2 meters and length = 4 meters.

Let's assume that the width of the rectangle is x meters. According to the given information, the length of the rectangle is 3 meters less than double the width, which can be expressed as 2x - 3.

The area of a rectangle is given by the formula: Area = Length × Width. In this case, the area is given as 14 m². Therefore, we can write the equation:

(x)(2x - 3) = 14

Expanding the equation:

2x² - 3x = 14

Rearranging the equation to standard form:

2x² - 3x - 14 = 0

To solve this quadratic equation, we can factor it or use the quadratic formula. In this case, let's use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

In our equation, a = 2, b = -3, and c = -14. Plugging in these values into the quadratic formula:

x = (-(-3) ± √((-3)² - 4(2)(-14))) / (2(2))

x = (3 ± √(9 + 112)) / 4

x = (3 ± √121) / 4

x = (3 ± 11) / 4

Simplifying further:

x = (3 + 11) / 4 or x = (3 - 11) / 4

x = 14 / 4 or x = -8 / 4

x = 7/2 or x = -2

Since the width cannot be negative, we discard the negative solution. Therefore, the width of the rectangle is 7/2 meters.

Now, we can substitute the value of x into the expression for the length:

Length = 2x - 3

Length = 2(7/2) - 3

Length = 7 - 3

Length = 4 meters

Thus, the dimensions of the rectangle are width = 7/2 meters and length = 4 meters.

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Given

Trigonometric function

Procedure

The 28th percentile for the number of chocolate chips in the bag is 1192.206.

To determine the 28th percentile for the number of chocolate chips in the bag, we find the z-score for the 28th percentile.

Found using a z-table or z-calculator, the z-score for the 28th percentile is -0.583

The formula for finding X (the number of items in a given percentile) is:

X = M + Z(S.D.)

Where M is the mean, Z is the specific z-score of the sought percentile and S.D. is the standard deviation.

So for the 28th percentile,

X = 1261 + (-0.583)(118)

X = 1261 - 68.79 = 1192.206

Hence the 28th percentile is 1192.206

the number of chocolate chips in a bag of chocolate chip cookies is approximately normally distributed with a mean of 1261 chips and a standard deviation of 118 chips. determine the 28th percentile

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Therefore, the probability that 0 < X < 1 is approximately 0.3413, or 34.13%.

If a random variable X is distributed normally with zero mean and unit standard deviation (X ~ N(0, 1)), the probability that 0 < X < 1 can be calculated using the standard normal distribution table or a statistical software.

In this case, we need to find the area under the normal curve between 0 and 1 standard deviations from the mean. Since the standard deviation is 1, we are interested in finding the probability that the value of X falls between 0 and 1.

Using the standard normal distribution table, we can look up the cumulative probability associated with 1 standard deviation from the mean, which is approximately 0.8413. Similarly, we can look up the cumulative probability associated with 0 standard deviations from the mean, which is 0.5.

To find the probability that 0 < X < 1, we subtract the probability associated with 0 from the probability associated with 1:

P(0 < X < 1) = P(X < 1) - P(X < 0) = 0.8413 - 0.5 = 0.3413

Therefore, the probability that 0 < X < 1 is approximately 0.3413, or 34.13%.

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Answer:

D

Step-by-step explanation:

a + 8 = 16

collect like terms

a=16 - 8

a = 8

Answer:

z = 44

Step-by-step explanation:

26/z = 13/22

Using cross products

26 * 22 = 13*z

Divide each side by 13

26/13 * 22 = 13z/13

2 *22 =z

44 =z

Answer:

Z=44

To solve this proportion, you have to isolate z. You have to do what you do on one side of the equal sign to the other as well.

Answer:

Step-by-step explanation:

what about this question do you find difficult ?

point P1 (3,-2)  in the form (x1,y1)

slope = m = 4

y - y1 = m(x -x1) ( point-slope formula)

y - (-2) = 4(x-3)

y + 2 = 4(x-3)

A significance level of 0.10, we have enough evidence to conclude that the new copy machines have a significantly faster mean repair time compared to the older model.

To test if the new copy machines are faster to repair, we can set up the following null and alternative hypotheses:

Null Hypothesis (H₀): The mean repair time for the new copy machines is the same as the mean repair time for the older model.

Alternative Hypothesis (H₁): The mean repair time for the new copy machines is less than the mean repair time for the older model.

Let's perform a one-sample t-test to test these hypotheses. The test statistic is calculated as:

t = (sample mean - population mean) / (sample standard deviation / √(sample size))

Given:

Population mean (μ) = 93 minutes

Sample mean (\(\bar x\)) = 86.8 minutes

Sample standard deviation (s) = 14.6 minutes

Sample size (n) = 18

Significance level (α) = 0.10

Calculating the test statistic:

t = (86.8 - 93) / (14.6 / sqrt(18))

t = -6.2 / (14.6 / 4.24264)

t ≈ -2.677

The degrees of freedom for this test is n - 1 = 18 - 1 = 17.

Now, we need to determine the critical value for the t-distribution with 17 degrees of freedom and a one-tailed test at a significance level of 0.10. Consulting a t-table or using statistical software, the critical value is approximately -1.333.

Since the test statistic (t = -2.677) is less than the critical value (-1.333), we reject the null hypothesis.

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The zero of the graph is 8 and it represents the time taken for Bart to pass out the flyers i.e 8 minutes

From the question, we have the following parameters that can be used in our computation:

The empty graph

Also from the question, we have the following equation

f(x) = 80 - 10x

This means that

The variable f is a function of x i.e. f(x)

To plot the graph, we represent the function f(x) on the y-axis

See attachment for the graph of the function

This is the point where the graph crosses the x-axis

This is represented a f(x) = 0

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

80 - 10x = 0

Add 10x to both sides

10x = 80

Divide both sides by 10

x = 8

Hence, the zero is 8 and it means that Bart passes out the flyers in 8 minutes

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Answer:

slope = 3

Step-by-step explanation:

calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (1, 3 ) and (x₂, y₂ ) = (9, 27 )

m = \(\frac{27-3}{9-1}\) = \(\frac{24}{8}\) = 3

\(\mathbb{FINAL\:ANSWER:}\)

\(\huge\boxed{\sf\:Slope=3}}\)

\(\mathbb{SOLUTION\:WITH\:STEPS:}\)

Hi! Hope you are having a nice day!

We are given 2 points that the line passes through, so we can use the slope formula and find the slope.

Slope Formula:

\(\displaystyle\frac{y2-y1}{x2-x1}\)

\(\displaystyle\frac{27-3}{9-1}\)

\(\displaystyle\frac{24}{8}\)

The fraction can be reduced:

\(\displaystyle\frac{3}{1}\)

which is the same as

\(3\)

Hope you could understand everything.

#CarryOnLearning

The pollster should survey approximately 2,401 U.S. voters to estimate the true proportion of voters who oppose capital punishment with 95% confidence and a margin of error of 2%.

In order to estimate the true proportion of U.S. voters who oppose capital punishment with a 95% confidence level and a margin of error of 2%, the pollster should survey approximately 2,401 voters.



To calculate the sample size needed for this estimation, we can use the formula:

n = (Z² * p * q) / E²

where n is the sample size, Z is the z-score corresponding to the confidence level (in this case, 1.96 for 95% confidence), p is the estimated proportion of voters who oppose capital punishment, q is the estimated proportion of voters who support capital punishment (which is 1-p), and E is the desired margin of error (in this case, 0.02).

Assuming a conservative estimate of p = q = 0.5, we can plug in the values and solve for n:

n = (1.96² * 0.5 * 0.5) / 0.02² ≈ 2,401

Therefore, the pollster should survey approximately 2,401 U.S. voters to estimate the true proportion of voters who oppose capital punishment with 95% confidence and a margin of error of 2%.



In conclusion, to estimate the true proportion of U.S. voters who oppose capital punishment with a 95% confidence level and a margin of error of 2%, the pollster should survey approximately 2,401 voters. This sample size calculation is based on the formula for calculating sample size using the z-score, estimated proportions, and desired margin of error

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the key distinction between the interval scale and the ratio scale is the presence of a meaningful zero point, allowing for ratios to be calculated and meaningful statements about the absence or presence of the attribute being measured.

When comparing the four scales of measurement (nominal, ordinal, interval, and ratio), the key distinction between the interval scale and the ratio scale lies in the presence of a meaningful zero point.

The interval scale:

- The interval scale has ordered categories or values where the intervals between values are equal and meaningful.

- It allows for the measurement of the differences or intervals between values.

- However, the interval scale does not have a true, meaningful zero point.

- The zero point on the interval scale is arbitrary and does not represent the absence of the measured attribute.

Examples of the interval scale include temperature measured in Celsius or Fahrenheit. The zero point on these scales is arbitrary and does not indicate a complete absence of temperature. For instance, 0 degrees Celsius does not mean there is no temperature; it simply represents a specific point on the scale.

The ratio scale:

- The ratio scale, like the interval scale, has ordered categories or values with equal intervals.

- However, it differs from the interval scale in that it possesses a true, meaningful zero point.

- On the ratio scale, the zero point represents the absence or complete lack of the measured attribute.

- Ratios of values can be calculated, and meaningful statements can be made about the relative magnitude of values.

Examples of the ratio scale include measurements of length, weight, time, and counts of objects. In these cases, a value of 0 represents a complete absence of the attribute being measured, and ratios between values have meaningful interpretations. For instance, if one object weighs twice as much as another, it is a meaningful statement on the ratio scale.

In summary, the key distinction between the interval scale and the ratio scale is the presence of a meaningful zero point, allowing for ratios to be calculated and meaningful statements about the absence or presence of the attribute being measured.

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Total distance of the triathlon race is 23.34 kilometers.

Reg enters a triathlon race. He swims 1.25 kilometers, bikes 20.5 kilometers, and runs 1.59 kilometers.

The total distance of the race is 23.34 kilometers.

Reg enters a triathlon race.

He swims 1.25 kilometers, bikes 20.5 kilometers, and runs 1.59 kilometers.

In order to calculate the total distance of the race, we need to find the sum of the distance Reg swam, biked and ran. Therefore, Total distance = Distance swam + Distance biked + Distance ranTotal distance = 1.25 + 20.5 + 1.59 km

Total distance = 23.34 km.

The summary of this problem is that the total distance of the triathlon race is 23.34 kilometers.

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Answer:

12x+4

Step-by-step explanation:

For the perimeter, we have to add up all sides of the triangle.

(3x-4) + (4x+5) + (5x+3)

3x-4+4x+5+5x+3

(3x+4x+5x) + (-4+5+3)

12x+4

The correct area models are 4e and none of the given models for 4d and 4c.

What is the quadratic equation?

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

The area model of 4c is incorrect because the last term of the polynomial, which is 40, is represented by the bottom right box of the area model. However, in the given area model, the box representing 40 is in the upper row.

The area model of 4e is correct because it represents the polynomial as the product of two binomials, where the factors are (x-5) and (x-8).

When multiplied using the distributive property, the resulting polynomial is x² - 13x + 40, which matches the given polynomial form.

The area model of 4d is incorrect because it does not properly represent a factorable polynomial.

It only includes three boxes, representing the three terms of the polynomial, but it does not show how the terms can be factored into binomials.

Therefore, the correct area models are 4e and none of the given models for 4d and 4c.

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Answer:

i think itss uhhh carrot

Step-by-step explanation:

yea a carrot

Answer:

i know

Step-by-step explanation:

you need to know where the y axis lands

Answer: Placebo Effect

Step-by-step explanation:

The possible values of angles A and C are;

60° and 70° or 55° and 75°

An acute triangle is a triangle that has all the measures of its angles to be less than 90°.  This means that none of the angles is greater than 90°

Since sum of the angles in a triangle is equal to 180°, then it means that;

∠A + ∠B + ∠C = 180°

We are given that;

∠B = 50°

Thus;

50° + ∠A + ∠C = 180°

∠A + ∠C = 180° - 50°

∠A + ∠C = 130°

It should be noted that all the angles of the acute triangle are also different.

Thus, the possible values of A and C are 60° and 70° or 55° and 75° because their sum must be equal to 130°

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Answer:

(x + 1)(3x - 10)

Step-by-step explanation:

Given

3x² - 7x - 10

Consider the factors of the product of the x² term and the constant which sum to give the coefficient of the x- term.

product = 3 × - 10 = - 30 and sum = - 7

The factors are + 3 and - 10

Use these factors to split the x- term

3x² + 3x - 10x - 10 ( factor the first/second and third/fourth terms )

3x(x + 1) - 10(x + 1) ← factor out (x + 1) from each term

(x + 1)(3x - 10), thus

y = (x + 1)(3x - 10) ← in factored form

The new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees are approximately (4.993, 2.048).

To find the new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees, we can use the rotation formula:

x' = x * cos(theta) - y * sin(theta)

y' = x * sin(theta) + y * cos(theta)

Where (x, y) are the original coordinates, (x', y') are the new coordinates after rotation, and theta is the angle of rotation in radians.

Converting the angle of rotation from degrees to radians:

theta = 5 degrees * (pi/180) ≈ 0.08727 radians

Plugging in the values into the rotation formula:

x' = 5 * cos(0.08727) - 2 * sin(0.08727)

y' = 5 * sin(0.08727) + 2 * cos(0.08727)

Evaluating the trigonometric functions and simplifying:

x' ≈ 4.993

y' ≈ 2.048

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(a) The values of a and b in the integral in polar coordinates are a = 0 and b = .

(b) The values of c and d in the integral in polar coordinates are c = 0 and \($d = 2\pi$\).

(c) The expression for g(r,t) in polar coordinates is g(r,t) = \(e^{-r^2}\).

(d) The value of I is \($I = \int_0^{2\pi} \int_0^k e^{-r^2} \, dr \, dt$\).

(e) The limit of \($\lim_{k \to \infty} I$\) is evaluated as \($\int_0^{2\pi} \int_0^\infty e^{-r^2} \, dr \, dt$\), and it equals \($\frac{\pi}{2}$\).

(f) The integral corresponding to \($\lim_{k \to \infty} I$\) is \($\int_0^{2\pi} \int_0^\infty e^{-r^2} \, dr \, dt$\).

(a) The values of a and b in the integral in polar coordinates are a = 0 and b = .

(b) The values of c and d in the integral in polar coordinates are c = 0 and \($d = 2\pi$\).

(c) To express g(r,t), we need to convert the function \($e^{-(x^2 + y^2)}$\)into polar coordinates. In polar coordinates, \($x = r\cos(t)$\) and \($y = r\sin(t)$\).

Substituting these values into the expression, we get:

\($g(r,t) = e^{-(r^2\cos^2(t) + r^2\sin^2(t))}$\)

\($= e^{-(r^2)}$\)

So,\($g(r,t) = e^{-(r^2)}$\).

(d) The value of I is given by:

\($I = \int_{c}^{d} \int_{a}^{b} g(r,t) dr dt$\)

Using the values from parts (a) and (b), we have:

\($I = \int_{0}^{2\pi} \int_{0}^{k} e^{-(r^2)} dr dt$\)

(e) To compute the limit \($\lim_{k \to \infty} I$\), we can analyze the behavior of the integral as k approaches infinity.

Taking the limit as k approaches infinity, the range of integration for r becomes 0 to infinity:

\($\lim_{k \to \infty} I = \int_{0}^{2\pi} \int_{0}^{\infty} e^{-(r^2)} dr dt$\)

This is a well-known integral that evaluates to \($\frac{\pi}{2}$\).

(f) The integral corresponding to \($\lim_{k \to \infty} I$\) is:

\($\int_{0}^{2\pi} \int_{0}^{\infty} e^{-(r^2)} dr dt$\)

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