You are setting the combination on a three-digit lock. You want to use the numbers 123 but you don't care what order they are in.

Answer:

The first one is 360 degrees. The second one is 1080.

Step-by-step explanation:

The sum of the interior angles of a quadrilateral are always 360. If you subtract 90 from 360 to get 270. Multiply 270 by 4 to get 1080.

The volume of the cylindrical tank for refrigerant with an inside diameter of 14 inches and a height of 16 inches is 10,736 cubic inches.

The volume of a cylinder can be calculated using the formula:

\(\[ V = \pi r^2 h \]\)

where V represents the volume, \(\(\pi\)\) is a mathematical constant approximately equal to 3.14159, r is the radius of the cylinder (which is half the diameter), and h is the height of the cylinder.

In this case, the inside diameter of the tank is given as 14 inches, so the radius can be calculated as \(\(r = \frac{14}{2} = 7\)\) inches. The height of the tank is given as 16 inches. Substituting these values into the formula, we get:

\(\[ V = 3.14159 \times 7^2 \times 16 \approx 10,736 \text{ cubic inches} \]\)

Therefore, the volume of the cylindrical tank for refrigerant is approximately 10,736 cubic inches.

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The given function is f(x) = 3x - 2. The difference quotient f(x) - f(a)/(x - a) is given by;\(\frac{f(x)-f(a)}{x-a}\)Substitute the values of the function for f(x) and f(a);\(\frac{f(x)-f(a)}{x-a}=\frac{3x-2- (3a-2)}{x-a}\)Simplify;\(\frac{3x-2- (3a-2)}{x-a}=\frac{3x-3a}{x-a}=3\)

Therefore, the difference quotient f(x) - f(a)/(x - a) for the function f(x) = 3x - 2 is 3.__(b) Long answerThe given function is f(x) = 3x - 2. The difference quotient f(x + h) - f(x)/h is given by;\(\frac{f(x+h)-f(x)}{h}\)Substitute the values of the function for f(x+h) and f(x);\(\frac{f(x+h)-f(x)}{h}=\frac{3(x+h)-2-(3x-2)}{h}\)Simplify;\(\frac{3(x+h)-2-(3x-2)}{h}=\frac{3x+3h-2-3x+2}{h}=\frac{3h}{h}=3\)Therefore, the difference quotient f(x + h) - f(x)/h for the function f(x) = 3x - 2 is 3.

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The type of data for the water consumption (liters) by a randomly chosen player on the Celtics roster during a home game would be quantitative continuous data.

This is because the variable, water consumption, is a numerical measurement that can take on any value within a specific range (e.g., 0.5 liters, 1.2 liters, 2.7 liters, etc.), and it can be measured with a high level of precision. The data is continuous because there are no restrictions on the possible values, and it can take on any value within a given range.

what is range?

In statistics, the range refers to the difference between the maximum and minimum values in a dataset. It provides a measure of the spread or variability of the data.

To calculate the range, you simply subtract the minimum value from the maximum value:

Range = Maximum value - Minimum value

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The equation of the line that passes through (-5,3) and (1,1) is y = (-1/3)x + 3.

To find the equation of the line that passes through the given points, we need to use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope of the line and b is the y-intercept.

First, we need to find the slope of the line. The slope formula is:

m = (y₂ - y₁) / (x₂ - x₁)

Plugging in the given points, we get:

m = (1 - 3) / (1 - (-5))
m = (-2) / (6)
m = -1/3

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line. The point-slope form is:

y - y₁ = m(x - x₁)

Plugging in the slope and one of the given points, we get:

y - 3 = (-1/3)(x - (-5))
y - 3 = (-1/3)(x + 5)
y - 3 = (-1/3)x - (5/3)
y = (-1/3)x + (9/3)
y = (-1/3)x + 3

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If the new number is four times the reciprocal of the original number, then  the original number is 0.02.

Let us assume the original positive decimal number is = "x".

When we move the decimal point of x four places to the right,

We get,  "10000x", which is four times the reciprocal of x.

So, equation can be written as;

⇒ 10000x = 4(1/x),

On simplifying the equation,

We get,

⇒ 10000x² = 4,

Dividing both sides by 10000,

We get,

⇒ x² = 0.0004,

Simplifying further,

We get,

⇒ x = 0.02

Therefore, the original positive decimal number is 0.02.

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Answer:

           \(\bold{a=5\,,\quad b=-4\frac27}\)

Step-by-step explanation:

\(5+\frac{2\sqrt3}7+4\sqrt3=5+\frac27\sqrt3+4\sqrt3=5+4\frac27\sqrt3=5-(-4\frac27)\sqrt3\)

The partial derivatives with respect to x and y, we obtain dz/dx = cos(x - y) and dz/dy = -cos(x - y), respectively. When dz/dx and dz/dy are both zero, the crests and troughs are aligned.

The given water wave function is graphed as z = 1 + sin(x - y) using Mathematica. The crests and troughs of the wave are aligned in the direction of zero change in the height function, which can be determined by analyzing the partial derivatives. The steepest descent from a crest to a trough corresponds to the direction perpendicular to the alignment of crests and troughs. These conclusions are consistent with the graph of the wave.

The water wave function z = 1 + sin(x - y) represents a snapshot of a frozen water wave. To graph this function using Mathematica, the x and y coordinates are assigned appropriate ranges, and the resulting z-values are plotted.

To determine the alignment of the crests and troughs, we examine the rate of change of the height function. Taking the partial derivatives with respect to x and y, we obtain dz/dx = cos(x - y) and dz/dy = -cos(x - y), respectively. When dz/dx and dz/dy are both zero, the crests and troughs are aligned. Setting dz/dx = 0 gives cos(x - y) = 0, which implies x - y = (2n + 1)π/2, where n is an integer. This equation represents lines in the xy-plane along which the crests and troughs are aligned.  

For the steepest descent from a crest to a trough, we need to find the direction of maximum decrease in the height function. This direction corresponds to the negative gradient of the height function, which can be obtained by taking the partial derivatives dz/dx and dz/dy and forming the vector (-dz/dx, -dz/dy). Simplifying this vector, we get (-cos(x - y), cos(x - y)), which represents the direction perpendicular to the alignment of crests and troughs.    

Upon examining the graph of the wave, we can observe that the lines of alignment for the crests and troughs match the lines where the height function has zero change, confirming our conclusion from part (b). Similarly, the direction of steepest descent from a crest to a trough, indicated by the negative gradient, aligns with the steepest downward slopes on the graph.

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Answer:

c

Step-by-step explanation:

hope it helps u have a good day

Answer:

correct answer is A ..because it passed 5 and about to reach 6 ..only 1/8 left to be 6

The maximum-likelihood estimates of the probabilities for clear, cloudy, and rainy summer days next year can be derived from this year's weather data. The estimates are given by the ratios of the number of days with each type of weather to the total number of days in the summer. The maximum-likelihood estimates are pclear = nclear/100, pcloudy = ncloudy/100, and prainy = nrainy/100.

To find the maximum-likelihood estimates of pclear, pcloudy, and prainy, we divide the number of days with each type of weather by the total number of days in the summer. Given that nclear = 62, ncloudy = 28, nrainy = 10, and the total number of days in the summer is 100, we can calculate the estimates as follows:

pclear = nclear/100 = 62/100 = 0.62

pcloudy = ncloudy/100 = 28/100 = 0.28

prainy = nrainy/100 = 10/100 = 0.1

These estimates represent the probabilities of each type of weather occurring on a summer day next year, based on the observed frequencies from this year's data. For example, the estimate of pclear suggests that there is a 0.62 (or 62%) chance of a summer day next year being clear.

It is important to note that these estimates assume that next summer's weather will follow the same pattern as this year's. However, weather patterns can vary, and other factors may influence the probabilities of different weather types. Therefore, these estimates provide a reasonable approximation based on the available data, but they may not accurately reflect the actual probabilities for next year's weather.

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Answer:

just write the value of y in the y table and replace x with the given value above : for example if x is -4

then,

y = 20*(-4)-5

The main answer is that the infinite number of types of matter arises from the unique combinations of elements and their arrangements in terms of composition and geometry.

While the number of elements is limited, their combinations and arrangements allow for an infinite number of types of matter. Elements can combine in different ratios and configurations, forming various compounds and structures with distinct properties.

Additionally, the arrangement of atoms within a molecule or the spatial arrangement of molecules within a material can create different types of matter. These factors, along with the possibility of isotopes and different states of matter, contribute to the vast diversity and infinite types of matter despite the limited number of elements.

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Answer:

3 units

Step-by-step explanation:

Equation of the circle is:

\( (x+3)^2 +(y+1)^2=r^2 \)

\( \therefore [x-(-3)] ^2 +[(y-(-1)] ^2=r^2 \)

Equating it with

\( (x-h)^2 +(y-k)^2=r^2 \)

We find: h = - 3 & k = - 1

Center of the circle (C) = (-3, - 1)

Since, the point (-3, 2) lies on the circle, therefore radius of the circle wii be equal to the distance between the center of the circle (-3, - 1) and the point (-3, 2) which is on the circle.

Therefore,

\( r = \sqrt{[-3-(-3)]^2 +[2-(-1)]^2} \)

\( r = \sqrt{[-3+3]^2 +[2+1]^2} \)

\( r = \sqrt{[0]^2 +[3]^2} \)

\( r = \sqrt{0 +9} \)

\( r = \sqrt{9} \)

\( r = 3\: units \)

Answer:

1/6x or just 1/6

Step-by-step explanation:

the equation is y = mx + b and 1/6x is in place m which is the slope

stream blueberry eyes by MAX AND SUGA periodTt

The slope is also known as the gradient and the rate of change of the line. The slope of the line for the equation y= 1/6x + 1/4 is 1/6

The slope is also known as the gradient and the rate of change of the line, The equation of aline in slope intercept form is expressed as:

y = mx + b

where

m is the slope

b is the y-intercept

Given the equation y = 1/6x + 1/4

Compare

mx = 1/6x

m = 1/6

Hence the slope of the line for the equation y= 1/6x + 1/4 is 1/6

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A cylinder's curved section has a constant diameter if the circumference of each of its circular bases equals the height of the cylinder.

We have to given that;

the circumference of each circular base of a cylinder is equal to the height of the cylinder.

Now, We get;

A cylinder's curved section has a constant diameter if the circumference of each of its circular bases equals the height of the cylinder.

Hence, As a result, the cylinder's cross section, or the form you see when you cut it perpendicular to its height, will always be round and its diameter will remain constant over the course of the cylinder's height.

Thus, A cylinder's curved section has a constant diameter if the circumference of each of its circular bases equals the height of the cylinder.

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The p-value is a statistical measure used to determine the likelihood of observing a particular result or more extreme results, given the null hypothesis is true.

In this case, the null hypothesis is that the average amount Bob makes in tips per table is indeed $9.60, as claimed by the restaurant.

The p-value of 0.13 indicates that there is a 13% chance of observing an average tip amount as low as $8.95 or lower, assuming the null hypothesis is true.

In other words, if the restaurant's claim is accurate and Bob is just experiencing natural variation, there is a 13% probability of seeing an average tip amount as low as $8.95 or even lower.

Since the p-value is greater than the commonly used significance level of 0.05, which represents a 5% chance of seeing such a result due to random variation alone, we fail to reject the null hypothesis.

This means that the evidence does not provide strong enough support to conclude that Bob's average tip amount is significantly different from the claimed average of $9.60.

However, it is important to note that the p-value does not provide information on the direction of the difference.

It only tells us the likelihood of observing a result as extreme or more extreme than the one observed. So, even though Bob's average tip amount is lower than the claimed average,

the p-value alone does not determine whether the difference is statistically significant.

In summary, a p-value of 0.13 suggests that there is not enough evidence to conclude that Bob's average tip amount is significantly different from the claimed average of $9.60.

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The equation of the circle with center (3, -4) and a radius of 6 units is (x - 3)^2 + (y + 4)^2 = 36.

The equation of a circle with center (h, k) and radius r is:

(x - h)^2 + (y - k)^2 = r^2

Substituting the values given, we get:

(x - 3)^2 + (y + 4)^2 = 6^2

Expanding and simplifying, we get the final equation of the circle:

(x - 3)^2 + (y + 4)^2 = 36

Therefore, the equation of the circle with center (3, -4) and a radius of 6 units is (x - 3)^2 + (y + 4)^2 = 36.

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Respuesta:

C: 10xy^4 + 3x^3y^2 - 6x^2y

¡¡Espero te sirva!!

Answer:

Step-by-step explanation:

Remark

The general formula is

Volume per fish = volume of water / number of fish

Givens

40 L  and 5 fish

100 L and 12 fish

180 L and 23 fish

Solution

Tank A = 40 L / 5 fish = 8 L / fish

Tank B = 100 L /12 fish = 8.3 L / fish

Tank C = 180 L / 23 fish = 7.83L / fish

Answer

From Least to greatest = C A B

Answer:

11521 km

Step-by-step explanation:

The computation is given below:

But prior to reaching the final solution first the following calculations need to be computed

Angle between the Galapagos and Nauru is

= 90.30° + 166.56°

= 256.86°

As we know that the total of angles is  360 degrees

Now the major arc and the minor arc is

= 360° -  256.86°

= 103.14°

So,  the angles between galapagos islands is

= 180°  - 90.30°

= 89.70°

And, angles between the naura island is

= 180°  - 166.56°

= 13.44°

Now the sum of this two island is

= 89.70°  + 13.44°

= 103.14°

Therefore The length is

\(= \frac{\pi r}{180^{\circ}} \times \theta \\\\ = \frac{6,400 \pi}{180^{\circ}} \times 103.14^{\circ}\)

= 11521 km

A. The width w οf the rectangle is is 8 centimeters.

B. Perimeter = 2 × (Length + Width) = 48, Length = 16cm and width = 8cm.

C. Sοlving the equatiοn arithmetically invοlved perfοrming basic arithmetic οperatiοns such as additiοn and subtractiοn tο isοlate the variable w.

A fοrm's circumference is what is knοwn as its perimeter. The tοtal length οf the fοur sides makes up a rectangle's οr square's perimeter.

a.  Rectangle area =2(l +w) = 48

w = 48/2 - l

w = 24 - 16

w = 8

Here's a bar diagram that represents the situatiοn: (see attachment)

b. We knοw that the perimeter οf a rectangle is given by the fοrmula:

Perimeter = 2 × (Length + Width)

Substituting the given values, we get:

48 cm = 2 × (16 cm + w)

24 cm = 16 cm + w

w = 24 cm - 16 cm

w = 8 cm

Therefοre, the width οf the rectangle is 8 centimeters.

c. Sοlving the equatiοn arithmetically invοlved perfοrming basic arithmetic οperatiοns such as additiοn and subtractiοn tο isοlate the variable w.

οn the οther hand, sοlving the equatiοn algebraically wοuld invοlve using algebraic οperatiοns such as simplificatiοn, distributiοn, and sοlving linear equatiοns tο isοlate the variable w.

In this particular case, the equatiοn was simple enοugh that it cοuld be easily sοlved arithmetically. Hοwever, in mοre cοmplex situatiοns, algebraic methοds wοuld be necessary tο sοlve the equatiοn.

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Answer: The expected number of digits that need to be scanned to identify one defective bowling ball is 1/p, and the expected number of digits that need to be scanned to identify three defective bowling balls is the sum of three such expected values, or 3/p.

Step-by-step explanation:

To use a table of random digits to simulate how long it would take to identify three defective bowling balls, we can follow these steps:

1. Define a defective bowling ball as one that is damaged or does not meet the required standards.

2. Assign a unique identification number to each bowling ball in the lot, and assume that there are N total bowling balls in the lot.

3. Create a table of random digits that includes the digits 0 through 9, with each digit appearing with equal probability and independently of the other digits.

4. Scan the table of random digits, starting at any position, and record the first identification number of a defective bowling ball encountered. If no defective bowling ball is encountered, record "none".

5. Continue scanning the table of random digits, starting from the position immediately after the first defective bowling ball, until a second defective bowling ball is identified.

Record the identification number of the second defective bowling ball, or "none" if no such ball is encountered.

6. Repeat step 5 to identify the third defective bowling ball.

7. Record the total number of digits scanned in steps 4-6, and repeat the process multiple times to obtain a distribution of the number of digits scanned to identify three defective bowling balls.

Note that the probability of encountering a defective bowling ball on any given digit depends on the proportion of defective bowling balls in the lot.

If p is the proportion of defective bowling balls in the lot, then the probability of encountering a defective bowling ball on any given digit is p.

Thus, the expected number of digits that need to be scanned to identify one defective bowling ball is 1/p, and the expected number of digits that need to be scanned to identify three defective bowling balls is the sum of three such expected values, or 3/p.

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Answer:

45

Step-by-step explanation:

The simple interest formula is

I=p×r×t

I interest earned?

P principle 300

R interest rate 0.05

T time 3years

So

I=300×0.05×3

I=45

interest will he have earned in 3 years is 45

Answer:

\(mSQR=1/2m~SR\\\)

\(75=1/2m~SR\)

\(mSR=150\)

\(360=SR+QR+QS\)

\(mQR=360-150-133\)

\(mQR=77\)

\(So, B ~ is ~ your~ answer\)

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

hope it helps...

have a nice day!

Answer:

24

Step-by-step explanation:

3*4*2=24

The function f(x) = {2 - x if x ≤ 1, x if x > 1} is one-to-one but not onto.

To prove that a function f(x) is one-to-one but not onto, we need to show that it satisfies the following conditions:

One-to-one: For any two different values x1 and x2 in the domain, if f(x1) ≠ f(x2), then x1 ≠ x2.

Not onto: There exists at least one value y in the codomain that is not the image of any value x in the domain.

Let's analyze the function f(x) = {2 - x if x ≤ 1, x if x > 1}.

One-to-one:

To show that f(x) is one-to-one, we need to demonstrate that if f(x1) ≠ f(x2), then x1 ≠ x2.

Consider two different values x1 and x2 in the domain such that f(x1) ≠ f(x2).

If both x1 and x2 are less than or equal to 1, then f(x1) = 2 - x1 and f(x2) = 2 - x2. Since x1 and x2 are different, f(x1) and f(x2) will also be different. Therefore, x1 ≠ x2.

If both x1 and x2 are greater than 1, then f(x1) = x1 and f(x2) = x2. Since x1 and x2 are different, f(x1) and f(x2) will also be different. Therefore, x1 ≠ x2.

If one value is less than or equal to 1 and the other is greater than 1, then f(x1) = 2 - x1 and f(x2) = x2. In this case, f(x1) and f(x2) will always be different because 2 - x1 will never be equal to x2. Therefore, x1 ≠ x2.

In all cases, we have shown that if f(x1) ≠ f(x2), then x1 ≠ x2. Hence, f(x) is one-to-one.

Not onto:

To show that f(x) is not onto, we need to find at least one value y in the codomain that is not the image of any value x in the domain.

The codomain of f(x) is the set of all real numbers. Let's consider the value y = 3. No matter what value of x we choose from the domain, the function f(x) will never be equal to 3. Therefore, there is no x in the domain such that f(x) = 3.

Since we have found a value y (3) in the codomain that is not the image of any value x in the domain, we can conclude that f(x) is not onto.

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The primary rationale for creating the DSM was to c. describe diagnoses to be used as part of a total case formulation.

As a component of a case components assessment that culminates in an absolutely effective treatment plan for each individual, the primary rationale of DSM-5 is to assist trained clinicians in the investigation of their patients' scholarly issues. In point of fact, the indicators in the various analytical norms units never again address the full meanings of hidden issues, which illustrate mental, emotional, social, and physiological strategies that are far more confounded than could be described in those brief outlines.

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(Complete question)

The primary rationale for creating of the DSM was to Select one: a. provide guidelines for psychiatric hospitalization b. identify the etiologies of mental disorders c. describe diagnoses to be used as part of a total case formulation. d. provide justification for reimbursement for treatment

Answer:The domain of the function A(x) = -220x + 4180 represents the valid inputs or values of x in the context of the problem. In this case, the context is the monthly spending on advertisements for a realtor with a budget of $4,180.

Since the realtor's budget is fixed at $4,180, the domain of the function would be the range of valid values for x that represent the number of months the realtor can spend on advertisements.

In this situation, it would be reasonable to assume that the realtor cannot spend a negative number of months on advertisements. Additionally, the realtor cannot spend more months on advertisements than the total duration of their budget, which is determined by dividing the budget by the monthly spending.

To find the domain, we need to consider the restrictions mentioned above. Therefore, the domain would be:

x ≥ 0 and x ≤ 4180 / 220

Simplifying the inequality:

x ≥ 0 and x ≤ 19

So, the domain of the function A(x) would be the set of non-negative integers less than or equal to 19.

Answer:

B. 40

Step-by-step explanation:

She starts with 46 and sells half of them

That leaves her with 23 stamps left.

She then buys 17 more, 23 + 17 is 40

Answer is B

Answer:

B. 40 stamps

Step-by-step explanation:

We know that she sold half of her stamps. She started with 46 stamps.

First, find 1/2 of 46.

Multiply 1/2 and 46, or divide 46 by 2.

1/2 *46= 23

46/2=23

She sold 23 stamps, and was left with 23 stamps.

Then, she bought 17 more. If she bought more, she added to the amount she already had.

Therefore, we can add 23 and 17.

23+17=40

She has 40 stamps now.

The pairs of angles in the figure below which form vertical angles are <SOE and DOA and <EOA and <DOS.

The correct answer choices are options A and D.

A vertical refers to an angle which is formed when two lines meet or join each other at a point. It is formed when two lines intersect with each other. Vertical angles have an X shape.

Based on the figure above, the angles which form X shape are <SOE and DOA and <EOA and <DOS.

Therefore, the vertical angles are <SOE and DOA and <EOA and <DOS.

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