Which of the following is an example of a combination?
O A. The number of ways 3 people can sit on a couch.
O B. Picking 4 sets of towels out of 20 different sets.
• C. The number of ways 12 picture frames can be arranged on a shelf.
• D. Selecting a first, second and third place winner at a beauty
competition.

The radius of convergence R of the given function f(x) = (-1)^n(1 - x)² be,

R = 1/2.

Given, a function f(x)

f(x) = (-1)^n(1 - x)²

we have to find the radius of convergence R of the given function,

first will find the (n+1)th term of the given function

as, an = (-1)^n(1 - x)²

then an+1 = (-1)^(n+1)(1 - x)²

to find the radius of convergence, we will find

lim x->∞ an+1/an

lim x->∞ ((-1)^(n+1)(1 - x)²)/((-1)^n(1 - x)²)

On solving the limits, we get

lim x->∞ an+1/an = 2x

then R = 1/2

as, -1/2 < x < 1/2

so, the radius of the convergence be, 1/2

Hence, the radius of the convergence be, 1/2

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Answer:

2km north and 5km east

Step-by-step explanation:

count boxes north and boxes east between the points

Answer: Sam is 3 km north and 6 km east of the theater.

Hope this helped! Have a blessed day! :D

The equation of the best curve based on the pairwise variables is y = 1.5x² - 1.5x + 1.

The predicted value of Y at X = 3.5 is equal to 14.

In Mathematics and Geometry, the standard form of a quadratic function is represented by the following equation;

ax² + bx + c = 0

Next, we would create a system of equations by using the data points provided in the table above;

a(1)² + b(1) + c = 1

a + b + c = 1    .....equation 1.

a(2)² + b(2) + c = 4

4a + 2b + c = 4    .....equation 2.

a(3)² + b(3) + c = 10

9a + 3b + c = 10    .....equation 3.

By solving the system of equations simultaneously, the values of a, b, and c are as follows;

a = 1.5

b = -1.5

c = 1

Therefore, the required equation of the best curve is given by;

y = ax² + bx + c

y = 1.5x² - 1.5x + 1

When X = 3.5, the predicted value of Y can be calculated as follows:

y = 1.5(3.5)² - 1.5(3.5) + 1

y = 14.125 ≈ 14.

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The trigonometric equations has the following solutions: x = 0 + j · π or x = 0.352π + j · π or x = - 0.352π + j · π, where j is a non-negative whole number.

In this problem we find the case of a trigonometric equation, whose solutions on the interval [0, 2π] must be found. This can be done by both algebra properties and trigonometric formulae. First, write the entire expression:

tan² x · sec² x + 2 · sec² x - tan² x = 2

Second, use trigonometric formulas to reduce the number of trigonometric functions:

tan² x · (tan² x + 1) + 2 · (tan² x + 1) - tan² x = 2

Third, expand the equation:

tan⁴ x + tan² x + 2 · tan² x + 2 - tan² x = 2

tan⁴ x + 2 · tan² x = 0

Fourth, factor the expression:

tan² x · (tan² x - 2) = 0

tan² x = 0 or tan² x = 2

tan x = 0 or tan x = ± √2

Fifth, determine the solutions to trigonometric equation:

x = 0 + j · π or x = 0.352π + j · π or x = - 0.352π + j · π, where j is a non-negative whole number.

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The author of the review is disappointed with the meatball sub casserole recipe posted on Recipe Masters, which did not turn out well despite following the recipe.

The author recommends that others should not attempt to make the recipe and believes that Recipe Masters should ensure that their posted recipes are reliable and thoroughly tested. The author also implies that the quality of the recipes on Recipe Masters is not as advertised, which could potentially lead subscribers to lose faith in the service and seek out free recipe sites instead.

Therefore, a suitable summary of the author's point of view would be: The author is dissatisfied with the meatball sub casserole recipe on Recipe Masters, which did not work out well and believes that Recipe Masters should provide reliable, thoroughly tested recipes as advertised.

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The graph of a proportional relationship can be described as a graph that always starts at point zero and is always a straight line graph.

A straight line graph is defined as the type of graph that is also called a linear graph which shows a relationship between two or more quantities that uses a graphical form of representation.

There are some characteristics that shows that a graph is of proportional relationship which include the following:

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The transformations that change the domain of a function are given as follows:

The domain of a function is defined as the set containing all the values assumed by the independent variable x of the function, which are also all the input values assumed by the function.

Hence we must look at transformations that change the values of x of the function, which are given as follows:

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The two numbers are 6 and 8.

The first step is to determine the simultaneous equations that would be used to determine the answer. The simultaneous equations would be derived from the information provided in the question.

x + y = 14 equation 1

x - y = 2 equation 2

Where:

x = larger number

y = smaller number

The simultaneous equations would be solved using the elimination method

Now, subtract  equation 2 from  equation 1

2y = 12

Divide both sides of the equation by 2

y = 12 / 2

y = 6

Substitute for y in  equation 2

x - 6 = 2

Add 6 to both sides of the  equation

x = 2 + 6

x = 8

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Answer:

x intercept: (-8,0)

y intercept: (0,2)

Answer:

( 2, 60 )

Step-by-step explanation:

→ Read along the x - axis and then the y axis

Answer:

$3.50

Step-by-step explanation:

Given:

1 sharpener + 2 posters = $28.99

1 sharpener = $21.99

1 poster = ?

Solve:

1 sharpener + 2 posters = $28.99

$21.99 + 2 posters = $28.99

               2 posters = $28.99 - $21.99

               2 posters = $7

                 1 poster = $7/ 2 = $3.5

Answer:

c. Graph C

I hope this helps!

Answer:

A customer can select from a total of ten different side combinations.

Step-by-step explanation:

There are 5 options for the first side, 5 options for the second side, and 5 options for the third side, so there are 5 * 5 * 5 = <<555=125>>125 different combinations of sides. However, each side can be chosen multiple times, so some of these combinations will be duplicates. For example, if the customer chooses rice for all three sides, that will be counted as one combination, but it is actually the same as choosing rice, rice, rice.

To find the number of unique combinations, we can use the combination formula, which is:

combinations = n! / (r! * (n - r)!),

where n is the total number of options and r is the number of options chosen at a time. In this case, n is 5 and r is 3, so the formula becomes:

combinations = 5! / (3! * (5 - 3)!) = 5! / (3! * 2!) = (5 * 4 * 3) / (3 * 2 * 1) = 10.

Therefore, there are a total of 10 different combinations of sides that a customer can choose from.

Answer:

( x - 5 )² = 75

Step-by-step explanation:

We need to convert the given equation in

So for that , let's complete the square of the given quadratic equation .

=> x² - 3x = 7x - 30

=> x² -3x - 7x + 30 = 0

=> x² - 10x + 30 = 0

=> x² - 2(5)x + 30 = 0

=> x² - 2(5)x +5² -30 = 5²

=> x² - 2(5)x + 5² = 25 +30

=> ( x - 5 )² = 75

Hence wrt the given form , the value of a is (-5) and b is 75 .

Answer: Graph A

Step-by-step explanation:

Graph A. If you find the y-intercept by plugging in 0 for x, you get 2.5 = y, so therefore graph A is correct.

Answer: 42

Step-by-step explanation:

Complementary angles are angles in which the sums equal 90.

90 - 48 = 42.

alr! so we know that there are around 52 weeks in a year (not counting leap years). and you save up 100 bucks every 2 weeks. then to find the answer, we do...

100(52/2)

100(26)

= $2600

youre welcome!

Answer:

(-5, 4) The x value is -5, and the y value is 4.

The nth term of a geometric sequence is expressed as:

were:

• a is the first term

• r is the common ratio

• n is the number of terms

If the 2nd term a₂ = 28, then;

If the 5th term a₅ = 1792, then;

Take the ratio of both equations to have:

Substitute r = 4 into any of the equations to have:

Determine the rule for the nth term of the geometric sequence. Recall that;

This gives the nth term of the geometric sequence

Answer:

18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

If six loaves lasted seven days, and she is going for 21 days next time, that is three times the amount of days she went on her last camping trip. so you multiply the amount of loaves by 3.

Answer:the answer is D

Step-by-step explanation:

it is

Answer:

B: 1.53

Step-by-step explanation:

The mean, or average, is 4, and n, the amount of numbers, is 7. To find the standard deviation, first, all of the numbers are subtracted by the mean. This makes (-3, 0, 0, 0, 0, 1, 2). Square all of them to get (9, 0, 0, 0, 0, 1, 4). Next add the squared numbers together (9 + 0 + 0 + 0 + 0 + 1 + 4 = 14). Next, the variance needs to be found. That is found by this formula: (Sum of previous number set ÷ (n - 1)). So in this case, (14 ÷ (n - 1)). Since n is 7, it is (14 ÷ (7 - 1)), or (14 ÷ 6). The answer to that is 2.3 repeating. After the variance is found, it is square rooted to get the standard deviation. √2.3 is about 1.53. Hope this helps! Have a great day! :)

Answer:

x=10

Step-by-step explanation:

divide by 3 on both sides then add 6 on both sides

Answer:

the answer is x=10, x=2

Step-by-step explanation:

hope that helps

Answer:

the numbee from left to right :

-1.5

-0.25

0.75

1.25

2.25

Answer:

-3/2, -15%, 0.80, 143%, 2 1/4

Step-by-step explanation:

Convert the fractions into decimals:

2 1/4 = 2.25

-15% = -0.15

143% = 1.43

-3/2 = -1.5

0.80 = 0.80

The order from least to greatest is -3/2, -15%, 0.80, 143%, 2 1/4

Hope this helps :)

1.243 is the measure of the value of x from the given expression

Rational equations are those that contain rational expressions. A rational expression is a fraction with polynomial numerator and denominator. A rational expression, in other terms, is a ratio between two polynomials.

Given the following rational equation

√11 x = √17

We need to determine the measure of the value of x.

Taking the square of both sides we will have:

(√11 x)² = (√17)²

11x² = 17

x² = 17/11

x² = 1.545

Take the square root of both sides

√x² = √1.545
x = 1.243

Hence the measure of the value of x from the given equation is 1.243.

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x=10  and pls give me a thanks

Answer:

count the. dots i think bc thats what it have on it