Which expression illustrates the associative property of addition? (3 19) – 12 = (3 12) – 19 3 (19 – 12) = 3 (19 12) (3 19) – 12 = 3 (19 – 12) 3 (19 –12) = 3 – (19 12)

1,692,489,445 expression is equivalent to 22^3 squared 15 - 9^3 squared 15.

To simplify this expression, we can first evaluate the exponents:

22^3 = 22 x 22 x 22 = 10,648

9^3 = 9 x 9 x 9 = 729

Substituting these values back into the expression, we get:

10,648^2 x 15 - 729^2 x 15

Simplifying further, we can calculate the values of the squares:

10,648^2 = 113,360,704

729^2 = 531,441

Substituting these values back into the expression, we get:

113,360,704 x 15 - 531,441 x 15

Which simplifies to:

1,700,461,560 - 7,972,115

Therefore, the final answer is:

1,692,489,445.

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Answer:

Vertical compression

Step-by-step explanation:

To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.

Answer:

b= 10

Step-by-step explanation:

Answer:

b = 10

Step-by-step explanation:

We can first use the distributive property to pen the parenthesis,

-2(3x - 5) = -6x + b

(-2)(3x) + (-2)(-5) = -6x + b

-6x + 10 = -6x + b

Adding 6x on both sides gives us,

-6x + 10 (+6x) = -6x + b (+6x)

10 = b, or b = 10

If you want to find x, x can be any real number.

Answer:

Below

Step-by-step explanation:

As I posted ....looks to be 147°

Answer:

17.0 meters

Step-by-step explanation:

The diagonal of a square is calculated as sqrt(2) x a, where a is the side

= sqrt (2) x 12 = approx. 16.97 (round to 17.0)

Hope this helps :)

The scatter plot shows the number of hats and scarves each knitter sold at a knitting show. 02 hats did the knitter who sold 9 scarves sell.

Scatterplot:

A scatterplot  is a graph or mathematical graph that displays the values ​​of usually two variables of a data set using Cartesian coordinates. is a kind of Additional variables can be displayed if the points are coded (color/shape/size). The data is displayed as a set of points, where each point has the value of one variable that determines its position on the horizontal axis and the value of another variable that determines its position on the vertical axis.

According to the Question:

I need to find out how many hats were sold when the knitter sold his 09 scarves.

To find this out, in the scatterplot he needs to find the x-values ​​corresponding to the y-values ​​of the 9 scarves.

Corresponding to 9 on the y-axis, there is a point with a corresponding value of 02.

Therefore, when the weaver sold 09 scarves, he sold two(02) hats.

Option B) 02 is correct.

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Answer:

Each of the three letter combinations can be combined with any of the three number combinations so the total is 17,576 x 1000 = 17,576,000 different combinations possible.

Step-by-step explanation:

I hope this help you

New York had the larger population with 1.9 x 10⁷ people. The correct option is B.

To compare the populations of the states, we need to convert all the populations to the same unit of measurement. In this case, all the populations are given in terms of millions (10⁶).

We can see that New York's population is 1.9 x 10⁷, which means 19 million people. Georgia's population is given as 9.6 x 10⁶, which is 9.6 million people. Comparing these two values, it is evident that New York has a larger population than Georgia.

Check the populations of the other states:

Alaska: 7.1 x 10⁵ = 0.71 million people

Wyoming: 5.6 x 10⁵ = 0.56 million people

Idaho: 1.5 x 10⁶ = 1.5 million people

New York's population of 19 million is much larger than any of the other states listed, making it the state with the largest population among the options provided. The correct option is B.

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Complete question:

Based on the 2010 census, the population of Georgia was 9.6 x 10^6 people. Which state had a larger population? A. Alaska: 7.1 x 10^5 B. New York: 1.9 x 10^7 C. Wyoming: 5.6 x 10^5 D. Idaho: 1.5 x 10^6

On a distance-time graph, a constant slope indicates a constant speed or velocity. The slope of a line on a distance-time graph represents the rate of change of distance with respect to time.

If the slope remains constant, it means that the distance covered per unit of time is consistent throughout the entire duration represented by the graph.

When the slope is constant, it implies that the object or subject being represented is moving at a steady pace. This means that for each unit of time, an equal amount of distance is covered. For example, if the slope of the graph is 2, it indicates that for every unit of time (e.g., 1 second), the object or subject is covering 2 units of distance (e.g., 2 meters).

A constant slope can also suggest uniform motion, where the speed remains constant without any acceleration or deceleration. In this case, the object is moving at a steady rate, maintaining the same speed throughout the given time interval.

It's important to note that the slope's magnitude doesn't provide information about the actual speed; it only indicates that the speed remains constant. The actual speed can be determined by examining the scale and units on the graph.

In summary, a constant slope on a distance-time graph indicates that the object or subject is moving at a constant speed or velocity, covering the same amount of distance per unit of time, suggesting either uniform motion or a steady pace.

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Answer:

I believe your answer for 11. is B! And for 12 its E and C! 13 I think its D I'm not sure though!

Answer:

Step-by-step explanation:

To evaluate the given expression, we need to substitute the given values for x, y, and z. The expression becomes:

yz + x²

Substituting the given values, we get:

(6.1 * 0.2) + (3.2^2)

This simplifies to:

1.22 + 10.24

Therefore, the value of the expression is approximately 11.46.

11.46

gimme brainlyest gang

Answers:

T1 = 59.5677879151077 N

T2 = 45.7583538175564  N

The values are approximate. Round the values however you need to.

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

Explanation:

Refer to the diagram below. I have added red and blue lines to break up each tension vector into the x and y components. For tension T1 in red, we have x1 and y1 as the horizontal and vertical components respectively. Note that x1 points to the left and y1 points upward.

For T2 in blue, we have x2 point to the right and y2 point upward. The horizontal components x1 and x2 must be equal, and point in opposite directions, so that we have horizontal balance. Otherwise, the object would accelerate to one side rather than be stationary.

Applying a bit of trig, we can say

cos(angle) = adjacent/hypotenuse

cos(45) = (x1)/(T1)

x1 = T1*cos(45)

and also

sin(angle) = opposite/hypotenuse

sin(67) = (x2)/(T2)

x2 = T2*sin(67)

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

Again, the x1 and x2 vectors must be equal in magnitude, allowing us to say this

x1 = x2

T1*cos(45) = T2*sin(67)

T1 = T2*sin(67)/cos(45)

which we'll use later.

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

Doing a bit more trig set up, we know that

sin(45) = (y1)/(T1)

y1 = T1*sin(45)

and

cos(67) = (y2)/(T2)

y2 = T2*cos(67)

Adding those two y components together will yield the total upward force that the ropes apply

y1+y2 = T1*sin(45)+T2*cos(67)

y1+y2 = (T2*sin(67)/cos(45))*sin(45)+T2*cos(67)

y1+y2 = T2*( sin(67)*sin(45)/cos(45) + cos(67) )

y1+y2 = T2*( sin(67)*tan(45) + cos(67) )

y1+y2 = T2*( sin(67)*1 + cos(67) )

y1+y2 = T2*( sin(67) + cos(67) )

This combined upward pull must be equal to 60 newtons or else we wouldn't have vertical equilibrium. If the upward pull was smaller than the downward pull, then the object would be falling. If the other way around, then the object would be pulled upward at some accelerated speed (think of a spring action).

So we'll set y1+y2 equal to 60 and solve for T2

y1+y2 = 60

T2*( sin(67) + cos(67) ) = 60

T2 = 60/( sin(67) + cos(67) )

T2 = 45.7583538175564

That value is approximate. The units for T2 are in newtons. This is the amount of pull or force along the T2 line in the upper right direction.

Side note: make sure your calculator is in degree mode.

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

The last thing to do is to compute T1

T1 = T2*sin(67)/cos(45)

T1 = 45.7583538175564*sin(67)/cos(45)

T1 = 59.5677879151077

That value is approximate as well. The units are also newtons here. This represents the amount of pull in the upper left direction as the diagram shows.

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

Finding such values for T1 and T2 is useful to determine if a rope can handle a certain stress load. Let's say we had a rope that was rated for only 40 newtons. Anything beyond 40 N for this hypothetical rope would mean the rope breaks. We found T1 and T2 beyond this threshold which would indicate that such a rope isn't up to the task of holding this object up (at least not with the angles shown in the diagram).

the solution to the equation (ax - bx) / (x + c), where a does not equal b + c, is (a - b).

To solve the equation (ax - bx) / (x + c), where a does not equal b + c, we can simplify the expression and then analyze the factors:

(ax - bx) / (x + c)

Factoring out x in the numerator:

x(a - b) / (x + c)

We can see that x is a common factor in the numerator and denominator. Therefore, we can simplify the expression further by canceling out the common factor:

(a - b) / (1 + c/x)

Now, let's analyze the expression (a - b) / (1 + c/x):

If x approaches infinity (x → ∞), the value of c/x approaches zero, and (1 + c/x) approaches 1. Therefore, the expression becomes:

(a - b) / 1

So, the solution is (a - b).

In summary, the solution to the equation (ax - bx) / (x + c), where a does not equal b + c, is (a - b).

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Answer:

2-4x

Step-by-step explanation:

-(-2 x 2+4x+2)

-(-4+4x+2)

-(-2+4x)

2-4x

Answer:

there are 40 balloon

Step-by-step explanation:

There are 32 balloons in total.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Ratio = Red: blue: green= 5: 2: 1

let the common ratio be x.

So, Red= 5x, Blue= 2x , Green= x

Now, there are 8 blue balloons

Then, 2x= 8

x= 4

Thus, Red balloons= 5x = 20

Green balloon= 4

Hence, there are (8 + 20 + 4)= 32 balloons in total.

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There are 462 different ways to select a planning board of 6 scientists from a group of 11 scientists.

The problem requires selecting 6 scientists from a group of 11 scientists. This is a combination problem, and the formula for combination is nCr, where n is the total number of items, and r is the number of items to be selected. The formula is given by:

nCr = n! / (r! * (n-r)!)

Where "!" denotes the factorial of a number, which is the product of all positive integers up to that number.

Using the given formula, the number of ways of selecting a planning board of 6 scientists can be calculated as:

11C₆ = 11! / (6! * (11-6)!)

= (11109876!) / (6! * 54321)

= (1110987) / (5432*1)

= 462

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Answer:

its 3.5

Step-by-step explanation:

since we need to replace x with 6 the equation is now 3(6) + 8y = -10.

next i would multiply  3&6 to 18 then subtract 8y to the other side like this

18 + 8y = -10

     - 8y         -8y

18= -10 -8y

then i would add -10 to 18 on that side

18= -10 -8y

+10   +10    

28 = 8y

then i divided

3.5 is my answer

Option E is correct. People who are not registered to vote may bias the sample results is not a legitimate concern about the procedure being used.

People who are not registered to vote may bias the sample results is not a legitimate concern about the procedure being used because the polling firm is specifically interested in surveying a representative sample of registered voters in the United States.

The procedure targets registered voters by calling random phone numbers within the United States.

Since the focus is on registered voters, people who are not registered to vote are not part of the target population for this survey.

Therefore, their presence or absence in the sample does not affect the representativeness of the sample for registered voters. Option E is correct.

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Complete question:

A polling firm is interested in surveying a representative sample of registered voters in the United States. The firm has automated its sampling so that random phone numbers within the United States are called. Each time a number is called, the procedure below is followed. - If there is no response or if an answering machine is reached, another number is automatically called. - If a person answers, a survey worker verifies that the person is at least 18 years of age. - If the person is not at least 18 years of age, no response is recorded, and another number is called. - If the person is at least 18 years of age, that person is surveyed. Some people claim the procedure being used does not permit the results to be extended to all registered voters. Which of the following is NOT a legitimate concern about the procedure being used? (A) Registered voters with children under the age of 18 years may be underrepresented in the sample. (B) Registered voters with unlisted telephone numbers may be underrepresented in the sample. (C) Registered voters who have more than one telephone number may be overrepresented in the sample. (D) Registered voters who live in households consisting of more than one voter may be underrepresented. (E) People who are not registered to vote may bias the sample results.

Answer:

y=3/4x -2

Step-by-step explanation:

I know the last box has a plus sign in front of it but it's still -2 since the y- intercept is at -2. It's the same thing but I just wanted to make sure you knew that in the last box, you still put -2.

Sorry if what I just said above is confusing, i don't know how to explain it better...

The z value is calculated by using the equation  (x- μ)/ σ/ √n. Here the true value lies between the confidence interval. So null hypothesis is accepted.

The data which is given are, mean of the sample (x) = 100.6 psi

Standard deviation, σ = 2 psi

Number of specimens tested, n = 9

Let us consider the mean breaking point of yarn of the population = μ

Since it is said that the mean breaking point should at least be 100,

Null hypothesis, H₀ , μ ≥ 100

Alternate hypothesis, H₁  μ < 100

a. Z value = (x- μ)/ σ/ √n =  \(\frac{100.6-100}{\frac{2}{\sqrt{9}} }\) = 0.89

So P ( z ≥ 0.89) = 0.1711

If significance level,α is greater than P(z ≥ 0.89), we cannot reject the null hypothesis.

b. If significance level is 0.05

Critical value for the breaking point , (x-μ)/σ/√n = 1.64

        \(\frac{x- 100}{\frac{2}{\sqrt{9} } }\)    = 1.64

x = 101.093

Z value =   \(\frac{101.09-102}{\frac{2}{\sqrt{9} } }\)  =  -1.378

P(z< -1.378) = 0.0885

Probability of committing type 2 error = 8.85%

c. Required confidence interval level =  \(x-z_{0.05}(\frac{2}{\sqrt{n} })\)  = \(102-1.64(\frac{2}{\sqrt{9} } )\) = 102 - (1.64× 0.67) = 100.9

d. If true value lies between the two confidence interval, null hypothesis is accepted. Here 100.9 < 102 < α

So null hypothesis is accepted.

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The complete question is

The mean breaking strength of yarn used in manufacturing drapery material is required to be at least 100 psi. Past experience has indicated that the standard deviation of breaking strength is 2 psi. A random sample of nine specimens is tested, and the average breaking strength is found to be 100.6 psi.

a) Should the fiber be judged acceptable? Use the P-value approach.

b) What is the probability of not rejecting the null hypothesis at

α=0.05

if the fiber has a true mean breaking strength of 102 psi?

c) Find a 95% one-sided lower CI on the true mean breaking strength.

d) Use the CI found in part (d) to test the hypothesis.

The minimum number of drivers is 385.

For 95% confidence, z = 1.96

p = q = 0.5 [Since no estimated proportion is given]

E = 0.05

Hence,

Minimum number of drivers needed

n = (0.5) x (0.5) x ((1.96) / (0.05)) ^2

n = 384.16

Hence,

Number of drivers needed = 385    

(Because we can't have number of drivers in decimal so rounded off to next integer)

In data, a population proportion, normally denoted with the aid of P or the Greek letter π, is a parameter that describes a percent value associated with a populace. as an example, the 2010 America Census confirmed that 83.7% of the American population changed into recognized as not being Hispanic or Latino; the price of .837 is a population proportion. In popular, the population percentage and other populace parameters are unknown. A census may be carried out a good way to determine the real cost of a population parameter, but often a census is not realistic because of its fees and time consumption.

A population proportion is usually anticipated via an independent sample statistic acquired from an observational observe or experiment. for instance, the countrywide Technological Literacy convention performed a country wide survey of 2,000 adults to determine the share of adults who're economically illiterate. The take a look at showed that 72% of the two,000 adults sampled did not recognize what a gross domestic product is. The value of 72% is a pattern percentage. The sample proportion is commonly denoted by and in some textbooks with the aid of p.

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The Maclaurin series for f(x) as:

f(x) = ∑[n=0 to ∞] (a_n x^(2n+1) cos(1/7x^2) + b_n x^(2n) sin(1/7x^2))

To obtain the Maclaurin series for the function f(x) = 2x cos(1/7x^2), we first need to find the derivatives of the function at x = 0.

The Maclaurin series is then obtained by summing these derivatives multiplied by appropriate coefficients.

We start by taking the first few derivatives of the function:

f(x) = 2x cos(1/7x^2)

f'(x) = 2 cos(1/7x^2) - 4x^2 sin(1/7x^2)

f''(x) = 28x sin(1/7x^2) - 8 cos(1/7x^2) - 16x^4 cos(1/7x^2)

f'''(x) = -392x^3 cos(1/7x^2) + 56x^2 sin(1/7x^2) + 48x cos(1/7x^2) - 224x^6 sin(1/7x^2)

We can see a pattern emerging here: each derivative involves a combination of sine and cosine terms with increasing powers of x. To simplify the notation, we define:

a_n = (-1)^n (2/7)^(2n+1)

b_n = (-1)^n (2/7)^(2n)

Using these coefficients, we can write the Maclaurin series for f(x) as:

f(x) = ∑[n=0 to ∞] (a_n x^(2n+1) cos(1/7x^2) + b_n x^(2n) sin(1/7x^2))

This series involves both sine and cosine terms, with coefficients that depend on the power of x.

It is worth noting that the coefficients decrease in magnitude as n increases, which means that the series converges rapidly for small values of x.

However, as x becomes large, the terms in the series oscillate rapidly and the series may not converge.

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Answer:

Step-by-step explanation:

Sum of given angles:

Sum of given angles:

Ned thinks that customer is rude to him because he seat her in area of bar where it's crowded and loud, then Ned takes a Situationist view of the customer, Option (d) is correct.

Ned takes a situationist view of the customer, as he believes that her rudeness is a result of the specific situation in which he had to seat her in a crowded and loud area of the bar.

The situationist perspective emphasizes that behavior is influenced by external-factors rather than personal disposition. According to this viewpoint, Ned attributes the customer's behavior to the uncomfortable environment rather than assuming that she is inherently rude.

By considering the situational factors, Ned demonstrates an understanding that people's behavior can be shaped by their immediate surroundings, suggesting that he does not judge the customer based solely on her personal characteristics.

Therefore, the correct option is (d).

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The given question is incomplete, the complete question is

Ned thinks that the customer is rude to him because he had to seat her in an area of the bar where it is crowded and loud. Ned takes a ________ view of the customer.

(a) Conditionist

(b) Dispositionist

(c) Sexist

(d) Situationist

Answer:

first one is 16,956m^2 second one is 6 in

Answer:

180 yards.

Step-by-step explanation:

80% of 225 = 180.

Answer:

Max mowed 180 Yards

Step-by-step explanation:

80 percent of 225 is 180

Floridyne would use an equivalent unit labor of 166,340 unit to calculate the cost per equivalent unit for direct labor.

Under weighted average, we do not make distinction between started and finished and just finished. Thus we work with finished and ending WIP only:

Finished         162,000

Ending - WIP    6,200 ending at 70% complete

Equivalent units for labor = Finished + Percentage of completion ending units

= 162,000 + 6,200 x 70%

= 166,340

Therefore, he would use an equivalent unit labor of 166,340 unit to calculate the cost per equivalent unit for direct labor.

Missing word "Floridyne, Inc. manufactures mouthwash. They had no finished goods inventory at the beginning of 2019. They have only one processing department for this product. A review of the company’s inventory records shows the following: At the beginning of January 2019, Floridyne has 4,500 gallons of mouthwash in process. (costs $8,410 for materials, 1,663 for labor and 4,990 for overhead) During 2019, Floridyne finishes/transfers 162,000 gallons of mouthwash. On December 31, 2019, Floridyne has 6,200 gallons of mouthwash that is 70% complete. Direct materials are added half at the beginning of the process and half after the process is 60% complete. During 2019 $349,000 of direct materials and $92,500 of direct labor were added. Using the weighted average approach to process costing,"

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P(K)- The denominator is 52 . P(A∩J) -The denominator is  52! / (2! * (52-2)!). P(A∪J) - The denominator is 52. P(A∪∪) -  The denominator is 52 since there are 52 cards in total. P(7) - The denominator is 36.

In order to calculate the probabilities in the given scenarios, we need to identify the outcomes that satisfy the criteria, as well as determine the denominator, which represents the total number of possible outcomes.

P(K) represents the probability of drawing a King from a 52-card deck. There are 4 Kings in a deck, so the numerator is 4.

The denominator is 52 since there are 52 cards in total.

P(A∩J) represents the probability of drawing an Ace and a Jack when drawing two cards without replacement from a 52-card deck. The numerator is 3, which represents the number of ways to select one Ace and one Jack.

The denominator is calculated as the total number of ways to choose 2 cards from 52, which is given by the combination formula: C(52, 2) = 52! / (2! * (52-2)!).

P(A∪J) represents the probability of drawing an Ace or a Jack when drawing a single card from a 52-card deck. The numerator is 4, which represents the number of Aces in the deck.

The denominator is 52 since there are 52 cards in total.

P(A∪∪) represents the probability of drawing an Ace or a Spade when drawing a single card from a 52-card deck. The numerator is 16, which represents the number of Aces and the number of Spades in the deck.

The denominator is 52 since there are 52 cards in total.

P(7) represents the probability of getting a sum of 7 when rolling two dice. To identify the outcomes that satisfy the criteria, we need to determine the number of ways to get a sum of 7. The possible outcomes are (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), and (6, 1), which gives us 6 favorable outcomes.

The denominator is calculated as the total number of possible outcomes when rolling two dice, which is 6 * 6 = 36.

P(at least one head) represents the probability of getting at least one head when flipping a coin five times. To solve this using the complement, we first calculate the probability of getting no heads, which is \((1/2)^5\) since each coin flip has a probability of 1/2 of landing tails. Then, we subtract this probability from 1 to find the probability of getting at least one head.

The denominator is \(2^5\), which represents the total number of possible outcomes when flipping a coin five times.

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The value of \(\alpha\) that makes \(f(x)\) continuous at \(x = 1\) is \(\alpha = 0\).

The function \(f(x) = x^{\alpha}\) is defined for \(0 < x < 1\).

We want to find the value of \(\alpha\) such that \(f(x)\) is continuous at \(x = 1\).
To check continuity at \(x = 1\), we need to ensure that the left-hand limit of \(f(x)\) at \(x = 1\) is equal to the right-hand limit of \(f(x)\) at \(x = 1\), and that these limits are equal to \(f(1)\).
First, let's find the left-hand limit of \(f(x)\) as \(x\) approaches 1:
\(\lim_{x \to 1^-} f(x) = \lim_{x \to 1^-} x^{\alpha}\)
Since \(0 < x < 1\), as \(x\) approaches 1 from the left, \(x^{\alpha}\) will approach 1.

Therefore, the left-hand limit of \(f(x)\) as \(x\) approaches 1 is 1.

Next, let's find the right-hand limit of \(f(x)\) as \(x\) approaches 1:
\(\lim_{x \to 1^+} f(x) = \lim_{x \to 1^+} x^{\alpha}\)
Since \(0 < x < 1\), as \(x\) approaches 1 from the right, \(x^{\alpha}\) will also approach 1.

Therefore, the right-hand limit of \(f(x)\) as \(x\) approaches 1 is 1.
For \(f(x)\) to be continuous at \(x = 1\), the left-hand limit, right-hand limit, and \(f(1)\) must all be equal.

In this case, that means: 1 = \(f(1) = 1^{\alpha}\)
Since any number raised to the power of 0 is equal to 1, we can conclude that \(\alpha = 0\) for \(f(x)\) to be continuous at \(x = 1\).

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