Do you know the answer? LA = GY - D

Answer:

A

Step-by-step explanation:

The series ∑[infinity]n = 1(−1)^n−1x^n/n5^n has a radius of convergence of 5 and an interval of convergence of (-5, 5].

To find the radius of convergence and interval of convergence of the given series, we can use the ratio test. The ratio test states that for a power series ∑[infinity]n = 1 c_nx^n, if the limit of |c_(n+1)/c_n| as n approaches infinity exists, then the series converges if the limit is less than 1 and diverges if the limit is greater than 1.

Applying the ratio test to the given series, we have:

|((-1)^(n-1)x^(n+1)/((n+1)5^(n+1))) / ((-1)^(n-1)x^n/(n5^n))|

= |(-x/(n+1)(5/5))^n|

Taking the limit as n approaches infinity, we have:

lim (n→∞) |(-x/(n+1)(5/5))^n| = |x/5|

For convergence, we need |x/5| < 1, which implies |x| < 5. Therefore, the radius of convergence is 5.

To find the interval of convergence, we need to check the endpoints. When x = -5, the series becomes ∑[infinity]n = 1 (-1)^(n-1) / n, which is the alternating harmonic series. This series converges by the alternating series test. When x = 5, the series becomes ∑[infinity]n = 1 1/n, which is the harmonic series that diverges.

Hence, the interval of convergence is (-5, 5], including -5 and excluding 5.

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The answer is 217 with a remainder of 20.

explanation is in the picture.

Answer:

see below

Step-by-step explanation:

1.)

(0, 4)

(1, 7)

\(\frac{7-4}{1-0} = 3\)

y = 3x + b

(4) = 3(0) + b

b = 4

y = 3x + 4

Rate of change: 3       initial value: 4

2.)

(0, -5)

(1, -3)

\(\frac{-3-(-5)}{1-0} = 2\)

y = 2x + b

(-5) = 2(0) + b

b = -5

Rate of change: 2        initial value: -5

Answer:

Step-by-step explanation: daddy

The average number of ham and cheese omelets served each day is 120.

The correct option is c.

Given

A restaurant serves three types of omelets.

Surveys were taken of the last two days of orders and are displayed in the table below.

Approximately 200 omelets are served each day.

The average of samples is defined as the sum of all averages divided by the total number of averages.

\(\rm Average =\dfrac{ Sample1+Sample2}{2}\)

Sample 1  shows 7 out of 12 omelets were H&C;

Then,

The average of H&C omelets served each day is;

\(= \dfrac{7}{12}\times {200}\\\\=\dfrac{1400}{12}\\\\\rm =116.67 \ each \ day\)

Sample2 cheese omelets 11 out of 18 is;

\(=\dfrac{11}{18}\times 200}\\\\= \dfrac{2200}{18}\\\\=122.22\)

Therefore,

The average number of ham and cheese omelets served each day is;

\(\rm Average =\dfrac{ Sample1+Sample2}{2}\\\\\rm Average =\dfrac{ 116.67+122.22}{2}\\\\Average = \dfrac{240}{2}\\\\Average = 120\)

Hence, the average number of ham and cheese omelets served each day is 120.

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Answer:

The correct option is C ; 127

Step-by-step explanation:

just did the quiz

Answer:

g(-2) = 0

g(4) = -4

Step-by-step explanation:

The outputs of each inequality are the numbers directly next to the parentheses. If an "x" value lies within a particular inequality, the values of the function are the corresponding output.

Remember, the "greater than or equal to" sign (≤) indicates that the "x" value can be equal to the number on the left. The "greater than" symbol (<) indicates that the number to the right cannot satisfy the inequality.

x = -2 lies within the inequality -2 ≤ x < 4. All "x" values that fall within this range are g(x) = 0. Therefore, g(-2) = 0.

x = 4 lies within the inequality 4 ≤ x < 10. All "x" values that fall within this range are g(x) = -4. Therefore, g(4) = -4.

Answer:

\(98\)

Step-by-step explanation:

Given the following question:

\(7(10+4)\)

In order to find the answer, we use PEMDAS and solve.

\(7(10+4)\)
\(10+4=14\)
\(7\times14\)
\(7\times14=98\)
\(=98\)

Hope this helps.

As per the addition formula, the value of the trigonometric function is -0.809.

In statistics, function is defined as a relationship between inputs where each input is related to exactly one output.

Here we have to find the value of the trigonometric function cos(13/15)cos(-/5)-sin(13/15)sin(-/5)  by using the addition and subtraction formula.

Here we have the following trigonometric function:

=> cos(13/15)cos(-/5)-sin(13/15)sin(-/5)

Now, we have to use the trigonometric addition formula,

=> Cos (A+B) = Cos A Cos B - Sin A Sin B

To solve the given function,

Here let us rewrite the given function based on the addition formula, then we get,

=> Cos ( 13π/15 + (-π/5) )

=> Cos( 12π/5)

=> Cos(144°)

=> -0.809

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Answer:

I think the is 2n+7=41

Step-by-step explanation:

I hope that is right

Answer:

n= -1.2

Step-by-step explanation:

I think because if you use slope equation to find the slope which is 3/5 and then you use point slop equation to find out what the equation would be. y=3/5x and then you substitue y for 18 and solve/simplify the equation to get -1.2.

Answer:

X equals 20

Step-by-step explanation:

19+1=x rearranged is X-19=1 and 20 minus 19 is 1 therefore 20 is the value of X.

Answer:

x = 20

Step-by-step explanation:

19 + 1 = 20

1/10 will be the result of the function j(7).

The input-output pair (-10,7) is on function h

The input-output pair 7,-10) is on function j

An inverse function is described as a function where two variables affect one another and the value of an independent variable is used to solve the function.

h and j are inverses

x=-10 so h(x)=7

h(-10)=7

H is inverse of j

h(x)=j-1(x)

7=j-1(x)

j(7)=x

Hence j(7)=-10

F(x) = 2x

y = 2x

The inverse function is calculated as:-

x = 2y

y = x / 2

F'(x) = x / 2

Given that Functions hand j are inverses. For x = -10, the value of h(x), or h (-10) = 7, is 7.

As, h(x) is 7

The input-output pair (-10,7) is on function h

The input-output pair (7,-10) is on function j

Using the supplied data, the value of the function j(7) will be 1/10.

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Remember that when you multiply a number by 10, the decimal point is moved one place to the right. Then:

Therefore, the answer is 275.4

a)There are 15,120 agent arrangements where order is important.b)The number of agent arrangements where order is not important is 1.

(a) When order is important, we are looking for the number of permutations. To calculate the number of agent arrangements for the 5 new customers, we use the formula:

nPr = n! / (n-r)!

where n is the number of agents (9), r is the number of customers (5), and ! represents the factorial.

9P5 = 9! / (9-5)!
= 9! / 4!
= 15,120

There are 15,120 agent arrangements where order is important.

(b) When order is not important, we are looking for the number of combinations. In this case, since each customer must be assigned an agent, there's only one way to distribute the agents, as all customers will receive service regardless of agent order. Therefore, the number of agent arrangements where order is not important is 1.

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Answer:

-0.5

Step-by-step explanation:

36b+12b=-11-13

48b=-24

B=-24/48=-1/2

B=-0.5

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Answer:

\((a)\ x = 3y - 2\)

\((b)\ y = -3x - 2\)

\((e)\ 3y - x = -2\)

Step-by-step explanation:

Given

\(y =3x -2\)

Required

Equations that can create consistent and independent systems

For a pair of equation to have consistent and independent systems, the equations must have different slopes.

An equation of the form \(y = mx + c\) has m has its slope.

In \(y =3x -2\)

\(m = 3\) --- slope

Considering the options

\((a)\ x = 3y - 2\)

Make y the subject

\(x = 3y - 2\)

\(3y = x+2\)

Divide by 3

\(y = \frac{1}{3}x+\frac{2}{3}\)

The slope is:

\(m_1 = \frac{1}{3}\)

Hence, (a) can make a consistent and independent system with \(y =3x -2\)

\((b)\ y = -3x - 2\)

The slope is:

\(m= -3\)

Hence, (b) can make a consistent and independent system with \(y =3x -2\)

\((c)\ y = 3x + 2\)

The slope is:

\(m=3\)

Hence, (c) cannot make a consistent and independent system with \(y =3x -2\)

\((d)\ 6x - 2y = 4\)

Make y the subject

\(2y = 6x -4\)

Divide by 2

\(y = 3x -2\)

The slope is

\(m =3\)

Hence, (d) cannot make a consistent and independent system with \(y =3x -2\)

\((e)\ 3y - x = -2\)

Make y the subject

\(3y = x -2\)

Divide by 3

\(y = \frac{1}{3}x -\frac{2}{3}\)

The slope is:

\(m = \frac{1}{3}\)

Hence, (e) can make a consistent and independent system with \(y =3x -2\)

Answer:

a= 122, b=52

Step-by-step explanation:

Please see the attached picture for full solution.

Answer:

m = 4

Y-intercept: 2

Step-by-step explanation:

8x + 4 = 2y

We rewrite the equation in slope-intercept form y = mx + b

m = the slope

b = y-intercept

8x + 4 = 2y

-2y + 8x + 4 = 0

-2y = -8x - 4

y = 4x + 2

m = 4

Y-intercept: 2

Rewriting the equation in slope-intercept form (y = mx + b) makes it easier to tell the slope and y-intercept. The rewritten form is y = 4x + 2. Since 'm' represents the slope, the slope of the equation is 4. 'b' represents the y-intercept, so the y-intercept is 2.

Answer:

the question dear sister

The number of oranges that  Carlos bought is n - 8. n is variable.

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one math operation, and a sentence. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator).

The alphabetic character that expresses a numerical value or a number is known as a variable in mathematics. A variable is used to represent an unknown quantity in algebraic equations.

Any alphabet from a to z can be used for these variables. Most frequently, the variables "a," "b," "c," "x," "y," and "z" are used in equations.

Given that Frank bought n oranges. Carlos bought 8 fewer oranges than Frank.

The number of oranges that Frank bought is more than the number of oranges that Carlos.

The number of oranges that Carlos bought is n - 8.

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Answer:

b just took the test and i put c trust me it is b

Step-by-step explanation:

The answer is: (x-3)(x-1)(x+2)

Because the first term is x^3, it means that there must be 3 independent x's multiplying by each other. From there you just have to est what numbers to pair them with. If that doesn't make sense let me explain more:If you have x^2 it will be:(x + y) (x + z) If you have x^3 it will be: (x + y) (x + z) (x + g) If you have x^4 it will be: (x + y) (x + z) (x + g) (x + f) etc; now all you have to do after you pick which one it matches with, it just find what the value of y, z, and g are through trial and error. I am not showing all my trial and error because it is long to type out, easier to just explain the process.

This indicates that the Australian dollar appreciated by 5.80%. the correct answer is (a) appreciated; 5.80.

To determine whether the Australian dollar appreciated or depreciated and by what percentage, we can calculate the percentage change in value between today and yesterday.

The formula for calculating the percentage change is:

Percentage Change = (New Value - Old Value) / Old Value * 100

Using this formula, we can calculate the percentage change:

Percentage Change = (0.73 - 0.69) / 0.69 * 100

Percentage Change = 0.04 / 0.69 * 100

Percentage Change ≈ 5.80

The percentage change is approximately 5.80%. This indicates that the Australian dollar appreciated by 5.80%.

Therefore, the correct answer is (a) appreciated; 5.80.

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Answer:

$25

Step-by-step explanation:

18.75 is 75% of a value. You can easily find the answer by dividing 18.75 and 0.75.

When you have a problem like x*5=30, you divide 30/5 to get 6. Same here, x*0.75=18.75. Divide 18.75/0.75 to get the answer.

Answer:

25 dollars

Step-by-step explanation:

please give the other person a brainliest bc they actually explained it really well

Answer:

Step-by-step explanation:

So we know that:

Total Cost: $12.40

Beads per Necklace: 2.80

So the first thing we have to do is multiply 2.80 by 2 which equals 5.6 so that's how much of the total cost was for beads.

So now we subtract the amount of money for the beads and the total cost of the necklaces 12.40 - 5.6 = 6.8

So 6.8 was the amount of money that is left for the pendants. Now that we know that we have to divide that by 2 to find out how much money did Carlos spend for each pendant,

6.8÷2= 3.4

So Carlos spent 3 dollars and 4 cents on each pendant.

The factor of independent variable that were in the study will be 2.

It should be noted that an independent variable is the variable that the experimenter changes in order to test the dependent variable.

In this case, if a 2 x 3 factorial design with between subjects variables was carried out with 8 subjects per cell, the independent variable factor is 2.

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Answer:

Step-by-step explanation:

The slope-intercept form:

y = mx + b

Where m is the slope and b is the Y-intercept

m = 9,   b = 13

so:

y = 9x + 13