In the rectangle below, drag the correct angle measures to each identified angle.

The volume of the canister is 339.1 cubic inches.

The volume of a cylinder is calculated by using the formula V=πr²h, where r is the radius of the cylinder and h is the height of the cylinder.

The radius of the cylinder is half of the diameter, so the radius of the canister is 3 inches.

Using the formula, we can calculate the volume of the canister as follows:

V = π×3²×12

V = 108×3.14

V = 339.1 cubic inches

Therefore, the volume of the canister is 339.1 cubic inches.

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Answer:

Im really sorry if this is wrong, i'm just trying to help cause everyone is giving you fake answers

I think the answer may be 336/55

(Decimal: 6.10909)

Step-by-step explanation:

Answer:

A. (3, 8) and \(2\sqrt{2}\)

B. (2, 4) and \(2\sqrt{10}\)

Step-by-step explanation:

Midpoint formula: \((\frac{x1+x2}{2} ,\frac{y1+y2}{2})\)

Distance formula: \(\sqrt{(x_{2}-x_{1}) ^2+(y_{2}-y_{1}) ^2 }\)

A. plug in the points in the formulas

(4, 7) and (2, 9)

Midpoint:

\((\frac{4 + 2}{2} , \frac{7+9}{2} )=6/2, 16/2 = (3,8)\)

Length:

\(\sqrt{(2-4)^2+(9-7)^2}=\sqrt{4+4} =\sqrt{8} =2\sqrt{2}\)

B.

(5, 5) and (-1, 3)

Midpoint:

\((\frac{5-1}{2} , \frac{5+3}{2} )=4/2,8/2=(2,4)\)

Length:

\(\sqrt{(-1-5)^2+(3-5)^2} =\sqrt{-6^2+-2^2} =\sqrt{36+4} =\sqrt{40} = 2\sqrt{10}\)

Can you consider marking my answers as brainliest lol it would mean a lot. Hope this helped.

The measure of the quadrilateral are

88 - 4 = 84

2 * 88 - 78 = 98

88 + 8 = 96

A quadrilateral is a polygon with four sides and four vertices (corners). There are many different types of quadrilaterals, including squares, rectangles, parallelograms, trapezoids, and kites. The angles and sides of a quadrilateral can vary depending on its specific type, but the sum of the internal angles of any quadrilateral is always 360 degrees.

x - 4 + x + 8 = 180

we have to find the value of x

x = 88

The angles would be

88 - 4 = 84

2 * 88 - 78 =

88 + 8 = 98

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Answer:

B) \(\$8395.80\)

Step-by-step explanation:

\(A=P(1+rt)\\A=7996(1+0.06\cdot\frac{10}{12})\\A=7996(1+0.05)\\A=7996(1.05)\\A=\$8395.80\)

This is all assuming that r=6% is an annual rate, making t=10/12 years

Answer:

x = 50

Step-by-step explanation:

I hope this helps!

Answer:

0.02

Step-by-step explanation:

Answer:

B. 2,035 is the correct answer.

Answer:

B. 2,035 is the correct answer.

Step-by-step explanation:

I hoped this helpful for u.

Thank you ☺️☺️

True, the eventual success of any system solely depends on how users work with it.

A system's success is determined by various factors, such as its design, functionality, and compatibility with user needs.

However, user engagement, adaptability, and willingness to work with the system notably contribute to its success.

Users who understand the system's features and can efficiently adapt and utilize them in their workflow contribute to its overall effectiveness.

In contrast, a system with poor user adoption and engagement may not achieve its intended outcomes, regardless of its inherent quality.

So, even if a system is well-designed and has all the necessary features, if users are unable to effectively use it, the system will not achieve its intended purpose.

Thus, user adoption and effective usage are crucial for the success of any system.

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Using the Central Limit Theorem, the state that the sample mean would most likely be within $80 of $2,600 is given by:

c. Equally likely because σ = $800 for both states.

It states that the sampling distribution of sample means of size n has standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

In this problem, we have that for both states, \(\sigma = 800, n = 100\), hence they have the same standard error, being equally as likely to be within $80 of $2,600, meaning that option C is correct.

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The average deviation from the mean is 0.19 that can be calculated from the mean.

An average is calculated for a set of numbers that are of the same value range.

Mean = (32.52+32.14+32.61+32.75)/4 = %32.50

Standard deviation =

|32.50-32.52| = 0.02

|32.50-32.14| = 0.36

|32.50-32.61| = 0.11

|32.50-32.75| = 0.25

(.02+.36+.11+.25)/4= 0.19

So the standard deviation is 0.19

Relative deviation = .19/32.50=0.0058 or %0.58

Yes, %32.14, because it deviates too far from the average.

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The most appropriate procedure for investigating the relationship between the high temperature and the number of crimes reported in this scenario would be a linear regression t-interval for slope. Option B

A linear regression analysis can help determine the nature and strength of the relationship between two variables, in this case, the high temperature and the number of crimes reported. By fitting a line to the data, we can estimate the slope of the line, which represents the average change in the number of crimes for each degree increase in temperature.

Using the given data, we can perform a linear regression analysis to obtain the estimated slope coefficient and its standard error. The t-interval for the slope will provide a confidence interval for the true slope coefficient, allowing us to estimate the number of additional crimes that can be expected for each degree increase in temperature.

The chi-square test of association is used to assess the relationship between two categorical variables, which is not appropriate for this scenario.

The one-sample t-interval for a mean is used when estimating the confidence interval for the population mean based on a single sample, which is not relevant here. The two-sample t-interval for a difference of means is used to compare two independent samples, which is not applicable in this context.

The one-sample z-interval for a proportion is used to estimate the confidence interval for a proportion, which is not the objective of this investigation. Option B

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The measurement of the three interior angles of a quadrilaterals are: 85 °, 54 ° and 96 °, what is the measurement of the fourth angle?

The measurement of the three interior angles of a quadrilaterals are: 85 °, 54 ° and 96 °

The measurement of the fourth angle.

By angle sum property of a quadrilateral,

Sum of all the interior angles = 360 °

So, let the fourth angle be x

\( \therefore \) 85 ° + 54 ° + 96 ° + x = 360 °

\( \therefore \) 235 ° + x = 360 °

\( \therefore \) x = 360 ° - 235 ° = 125 °

Answer:

I think it is 2

Step-by-step explanation:

I hope this is right! Please Rate Brainiest!

Answer:

its obv 478

Step-by-step explanation:

1+1=2 divoided by 400=294-478

a. The probability that a randomly selected American worker does not take a single nap during a month is approximately 0.0183, or 1.83%.

b. The probability that the total number of naps for two randomly selected American workers during a month is zero is approximately 0.0336, or 3.36%.

In the first step, the probability of a randomly selected American worker not taking a single nap during a month is calculated. Since the mean number of naps per month is four, the probability of not taking a nap can be found by using the Poisson distribution with a mean of four.

The formula for the Poisson distribution is P(x; μ) = (e−μ * μx) / x!, where x is the number of naps and μ is the mean. Plugging in x = 0 and μ = 4 into the formula, we get P(0; 4) = \((e^(^-^4^) * 4^0) / 0!\) ≈ 0.0183.

In the second step, the probability of the total number of naps for two randomly selected American workers being zero is calculated. This can be done by finding the probability of each worker not taking a nap and then multiplying those probabilities together. Since the probability of a worker not taking a nap is 0.0183, the probability of both workers not taking a nap is 0.0183 * 0.0183 ≈ 0.0336.

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Answer:1. 22

2. 35

Step-by-step explanation:

Answer:

1. $18.00   2. $15.00 your welcome and i hope it helps

Step-by-step explanation:

After the transformation, the standard deviation for the distribution of z-scores is 1.

A population with μ=89 and s=6 is transformed into z-scores.

Z-scores are standard deviations that have been normalized to a scale of z.

Z-scores are utilized to estimate a data point's relative position in comparison to the rest of the data points in a dataset. The formula for calculating the z-score is shown below:z = (x - μ) / σ

where z is the z-score, x is the raw score, μ is the population mean, and σ is the population standard deviation.

How to calculate the standard deviation of the distribution of z-scores.

The standard deviation of a set of z-scores is always equal to 1, regardless of the mean or standard deviation of the original population.

This is due to the fact that when we standardize a variable, we divide by the variable's standard deviation, resulting in a new variable wafter the transformation, the standard deviation for the distribution of z-scores is 1.

A mean of 0 and a standard deviation of 1.

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If the variables are not quantitative we cannot do the arithmetic required in the formulas for r.

Quantitative order:

Therefore, if the variables are not quantitative we cannot do the arithmetic required in the formulas for r.

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The solution of the DTDS is xn = (0.63)^n * 41 grams, where n represents time in hours.

a) The updating function f(x) for the discrete time dynamical system (DTDS) can be derived from the given information that the body eliminates 37% of the alcohol present in the body per hour.

Since 37% of the alcohol is eliminated, the amount remaining after one hour can be calculated by subtracting 37% of the current amount from the current amount. This can be expressed as:

f(x) = x - 0.37x

Simplifying the equation:

f(x) = 0.63x

b) The initial condition for the DTDS is given as Peter having 41 grams of alcohol in his body after consuming three alcoholic drinks. Therefore, the initial condition is:

x0 = 41 grams

c) To find the solution of the DTDS with the given initial condition, we can use the updating function f(x) and iterate it over time.

For n hours, the solution is given by:

xn = f^n(x0)

Applying the updating function f(x) repeatedly for n times:

xn = f(f(f(...f(x0))))

In this case, since the function f(x) is f(x) = 0.63x, the solution can be written as:

xn = (0.63)^n * x0

Substituting the initial condition x0 = 41 grams, the solution becomes:

xn = (0.63)^n * 41 grams

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Using substitution method, the cost of hotel per night is $ 85

Let hotel cost per night = x

Let car rental per day = y

4x + 2y = 500 ____(1)

4x + 5y = 740 ____(2)

Solving for x in the equation

Equation (1) - (2)

-3y = - 240

y = 80

Substitute the value of y in (1)

4x + 2(80) = 500

4x + 160 = 500

4x = 500-160

4x = 340

x = $85

Therefore, hotel cost per night is $85

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ANSWER :

204.082 megabytes

EXPLANATION :

From the problem, we have the equation :

Solve for x when A(x) = 0.

That will be :

The value of x is 204.082

Answer:  see proof below

Step-by-step explanation:

Note: The given equation cannot be proven. Instead I will prove:

\(\cot(2\alpha)=\dfrac{\cot^2\alpha-1}{2\cot \alpha}\)

Use the Reciprocal Identity:  cot A = (cos A)/(sin A)

Use the following Double Angle Identities:

cos (2A) = cos² A - sin² A

sin (2A) = 2 sin A · cos A

Proof LHS → RHS:

LHS:                        cot (2A)

\(\text{Reciprocal:}\qquad \qquad \dfrac{\cos (2\alpha)}{\sin (2\alpha)}\)

\(\text{Double Angle:}\qquad \quad \dfrac{\cos^2 \alpha-\sin^2 \alpha}{2\sin \alpha \cdot \cos \alpha}\)

\(\text{Manipulate:}\qquad \quad \dfrac{\cos^2 \alpha-\sin^2 \alpha}{2\sin \alpha \cdot \cos \alpha}\bigg(\dfrac{\frac{1}{\sin^2 \alpha}}{\frac{1}{\sin^2 \alpha}}\bigg)\)

                         \(=\dfrac{\frac{\cos^2 \alpha}{\sin^2 \alpha}-\frac{\sin^2 \alpha}{\sin^2 \alpha}}{\frac{2\sin \alpa \cdot \cos \alpha}{\sin \alpha \cdot \sin \alpha}}\)

                         \(=\dfrac{\cot^2 \alpha-1}{2\cot \alpha}\)

LHS = RHS \(\checkmark\)

Answer:

see proof below

Step-by-step explanation:

cot(2a) = (cot^2a - 1)/2cota

Remember that cotangent is the inverse of tan...

cot = 1/tan => cot(2a) = 1/tan2a

Here I used the formula for tan2a, or in other words tan2a = 2tana/1 - tan^2a

Therefore the inverse of tan2a, 1/tan2a, should be the inverse of 2tanA/1 - tan^2a, or 1 - tan^2a/2tana => 1/tan2a = 1 - tan^2a/2tana = cot(2a)

The reverse is true as well, tan is the inverse of cotangent...tanA = 1/cotA

cot(2a) = 1 - tan^2a/2tana = 1 - (1/cot^2a)/2(1/cota)

= cot^2a - 1/cot^2a * cota/2

= cot^2a - 1/2cota

L.H.S = R.H.S, hence proved

The probability of choosing a student who specialized in photography is 0.2 or 20%.

To calculate the probability that a randomly chosen student specialized in photography, follow these steps:

1. Determine the total number of students at the art camp: 4 (photography) + 16 (other areas) = 20 students
2. Find the number of students who specialized in photography: 4 students
3. The probability of choosing a student who specialized in photography is the number of students who specialized in photography divided by the total number of students: 4/20 = 1/5 = 0.2

So, the probability that a randomly chosen student specialized in photography is 4/20, which can be simplified to 1/5 or 20%.

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Answer:

2560

Step-by-step explanation:

10%/100% = 256/x

100/10=10

256x10 = 2560

The required equation of the parabola in the vertex form is \(x = - \frac{1}{6} (y+5)^2+\frac{9}{2}\)

A plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line is called a parabola.

Given that, a parabola has the directrix x=6 and the focus (3,-5), we need to find the equation of the parabola,

The standard form of a left-right parabola is given as:

4p(x-h) = (y-k)²

Focus = (p+h, k)

Therefore,

h+p = 3....(i)

Directrix =

x = h-p

h-p = 6...(ii)

Solving the equations we get,

h = 9/2

p = -3/2

Substitute into the standard form:

4p(x-h) = (y-k)²

4(-3/2)(x-9/2) = (y+5)²

-6(x-9/2) = (y+5)²

\(x = - \frac{1}{6} (y+5)^2+\frac{9}{2}\)

Hence, the required equation of the parabola in the vertex form is \(x = - \frac{1}{6} (y+5)^2+\frac{9}{2}\)

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The question is incomplete so, i solved for the attached question

\(a-\frac{1}{a} =5\\(a)x^{3} -y^{3} =(x-y)(x^{2} +y^{2} +xy)\\(b)x^{2} +y^{2} =(x-y)^{2} +2xy\\a^{3} -\frac{1}{a^{3}}=\\ a^{3} -(\frac{1}{a})^{3} = //use(a)\\(a -\frac{1}{a})(a^{2} +(\frac{1}{a} )^{2} +a*\frac{1}{a})=\\(a -\frac{1}{a})(a^{2} +(\frac{1}{a} )^{2} +1)= //use(b)\\(a -\frac{1}{a})[(a-\frac{1}{a} )^{2} +2*a*\frac{1}{a} +1]=\\ \\5*[5^{2} +2+1]=5*28=140\)Answer:

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

A.

subtract both slopes

B.

in word problems:

"rate of change" means slope

C.

1. horizontal line's slope is 0

2. number next to the x is the slope

   y = 4x + 1 : slope is 4

3. "How much more" is word problems means subtract

4 - 0 = 4

D.

horizontal and vertical lines' slopes are 0