Determine whether the geometric series is convergent or divergent. 5 + 4 + 16/5 + 64/25 + • convergent • divergent

Answer:

Q = 28

Step-by-step explanation:

Answer:

q=28 is right!!

Step-by-step explanation:

Answer: x = \(\frac{25}{6}\)

Step-by-step explanation:

     We will cross-multiply the two fractions given to help us solve.

  Given:

\(\displaystyle \frac{6}{5} =\frac{5}{x}\)

  Cross-multiply:

6 * x = 5 * 5

6x = 25

  Divide both sides of the equation by 6:

x = \(\frac{25}{6}\)

Answer:

x = 25/6

Step-by-step explanation:

6/5 = 5/x

Cross multiply.

6x = 25

Divide by 6.

x = 25/6

Answer: I HOPE IT HELPS

Results 1 - 24 of 2262 - Also included in: Properties of Multiplication Centers & Games ... match each expression to a simplified version and glue to pairs to the ... Math, Basic Operations, Place Value ... Students will match multiplication expressions with cards that show equivalent expressions using the distributive property.

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Step-by-step explanation:

Answer:This is the real answer

Step-by-step explanation:Need brainliest award

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Answer:

Option C is correct

Step-by-step explanation:

\(8 + 8 + 8 + 8 + 8 + 8 = 48\)

\(6 \times 8 = 48\)

At (0.958, 0.287, 5) and (0.958, -0.287, -5) points, the helix r(t) = sin(t), cos(t), t intersect the sphere x^2 + y^2 + z^2 = 26.

The sphere x^2 + y^2 + z^2 = 26 is a sphere with center at the origin and radius sqrt(26).

The helix r(t) = sin(t), cos(t), t is parameterized by sine and cosine functions, which oscillate between -1 and 1.

To find the points at which the helix intersects the sphere, we need to find the values of t such that the distance between r(t) and the origin is equal to sqrt(26).

The distance between a point (x, y, z) and the origin is given by the formula:

d = sqrt(x^2 + y^2 + z^2)

So, substituting the values from r(t), we have:

d = sqrt(sin^2(t) + cos^2(t) + t^2)

Setting d equal to sqrt(26), we have:

sqrt(sin^2(t) + cos^2(t) + t^2) = sqrt(26)

Squaring both sides, we have:

sin^2(t) + cos^2(t) + t^2 = 26

Recall that sin^2(t) + cos^2(t) = 1, so we have:

1 + t^2 = 26

Subtracting 1 from both sides, we have:

t^2 = 25

Taking the square root of both sides, we have:

t = ±5

So, the two points of intersection are (sin(5), cos(5), 5) and (sin(-5), cos(-5), -5).

Rounding the results to three decimal places, we have:

(sin(5), cos(5), 5) = (0.958, 0.287, 5)

(sin(-5), cos(-5), -5) = (0.958, -0.287, -5)

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Answer:

80

Step-by-step explanation:

The two numbers are 3 and 12 when 15 is the result of sum two numbers. One to two are compared in a 4:1 ratio.

Given that,

15 is the result of adding two numbers. One to two are compared in a 4:1 ratio.

We have to find which two numbers are they.

We know that,

Let take x and y to denote the two numbers

We get

x + y = 15   ----->equation(1)

x = 4y        ----->equation(2)

Substitute the 4y in equation(1)

(4y) + y = 15

5y = 15

Divide both sides by 5

y = 3.

Substitute y=3 in equation(2)

x=4(3)

x = 12

Therefore, The two numbers are 3 and 12 when 15 is the result of adding two numbers. One to two are compared in a 4:1 ratio.

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Answer:

74.25 maybe

Step-by-step explanation:

Answer:

Rico will ride 38.75 miles. 15.5 x 2.5 = 38.75

Step-by-step explanation:

Hope this helped you!

Answer:fixed ratio

Step-by-step explanation: :)

This is an illustration of a fixed ratio reinforcement schedule: after a predetermined number of responses, Frances is given a reward (in this case, $1). (every pound of worms).

An example of a reinforcement plan utilized in the behavioral psychology concept of operant conditioning is a fixed ratio reinforcement schedule. A reward or reinforcement is delivered according to this schedule after a predetermined number of actions or responses. As an illustration, a rat might receive a food pellet after every 10 lever presses.

Fixed ratio schedules work well for encouraging high response rates since the subject is driven to keep up the activity in order to earn the reward. Yet, if the reinforcement is stopped, the behavior can become less frequent or cease entirely.

Fixed ratio schedules can also cause behaviors to become rigid or stereotyped because the subject may start concentrating only on the number of responses required to earn the reward and stop considering other options or actions.

Overall, fixed ratio reinforcement regimens can be helpful in teaching both humans and animals to carry out particular tasks, but they should be utilized with caution and consideration for any unexpected consequences.

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The equation of a straight line can be written if its slope and any one point lying on it is given. The  equation of the line for given slope and point is  (y - 3) = -1 / 7 × (x - 3). The correct answer is option B.

A straight line can be written in the form of equation as, y = mx + c.

Two straight lines intersect each other only at one point.

When two straight lines are parallel to each other the angle between them is zero.

Given that,

The slope of the line = -1 / 7

The coordinate of the point on the line = (3,3)

The equation of a line having slope m and passing through a point (x₁, y₁) is given as,

(y - y₁) / (x - x₁) = m

Thus, the equation of the line for given slope and point is given as,

(y - 3) / (x - 3) = -1 / 7

=> (y - 3) = -1 / 7 × (x - 3)

Hence, the equation of the line for given slope and point is  (y - 3) = -1 / 7 × (x - 3).

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Answer:

3x = 14

Step-by-step explanation:

Add the two equations.

5x + (-2x) = 3x

(-y) + y = 0

6 + 8 = 14

3x = 14.

Step-by-step explanation:

5x - y = 6 and -2x + y = 8

1/ 5x - y = 6

=> y = 5x - 6

2/ -2x + y = 8

Substitute 1/ into 2/ we will have:

-2x + (5x - 6) = 8

=> -2x + 5x - 6 = 8

=> 3x = 14

=> x = \(\frac{14}{3}\) <=> y = \(\frac{52}{3}\)

- However, the question asked for the final equation when adding 5x - y = 6 and -2x + y = 8 => The correct answer will be: 3x = 14

Answer:

???

what is the question

Step-by-step explanation:

Answer:

What is your question

Step-by-step explanation:

Answer:

8+6+4

Step-by-step explanation:

To determine whether the series Σn=4[infinity]8/n^2 − 1 is convergent or divergent, we need to express sn as a telescoping sum.

First, we need to write out a few terms of the series to see if we can spot a pattern:

u4 = 8/4^2 - 1 = 1/3
u5 = 8/5^2 - 1/4^2 = 39/60
u6 = 8/6^2 - 1/5^2 = 77/120

Notice that each term has a denominator of the form (n+1)(n-1). We can use partial fractions to write each term as:

un = A/(n-1) - B/(n+1)

Multiplying both sides by (n-1)(n+1), we get:

un = A(n+1) - B(n-1)

Now we need to solve for A and B. Let's start with A:

u4 = A(5) - B(3) = 1/3

And now B:

u6 = A(7) - B(5) = 77/120

Solving for A and B, we get:

A = 1/2
B = 1/2

Now we can express sn as a telescoping sum:

sn = u4 + u5 + u6 + ... + un
  = (1/2)((5/3) - (3/5)) + (1/2)((6/4) - (4/6)) + ... + (1/2)((n+1)/n - (n-1)/(n+1))

Notice that most of the terms cancel out, leaving us with:

sn = (1/2)(5/3 + 6/4 + ... + (n+1)/n) - (1/2)(3/5 + 4/6 + ... + (n-1)/(n+1))

Both of the series inside the parentheses are telescoping sums, which means they converge. Therefore, sn also converges.
Hi! To determine if the given series is convergent or divergent, let's express it as a telescoping sum using partial fraction decomposition. The series is:

u_n = Σ (8 / n^2 - 1) for n = 4 to infinity.

Using partial fraction decomposition, we can rewrite 8 / (n^2 - 1) as:

8 / (n^2 - 1) = A / (n - 1) + B / (n + 1)

8 = A(n + 1) + B(n - 1)

Now, we'll find the values of A and B:

Let n = 1: 8 = 2A => A = 4
Let n = -1: 8 = -2B => B = -4

So, our decomposition becomes:

u_n = Σ [4 / (n - 1) - 4 / (n + 1)] for n = 4 to infinity.

Now, let's find the telescoping sum:

s_n = Σ (u_k) for k = 4 to n
= (4/3 - 4/5) + (4/4 - 4/6) + ... + (4/(n-1) - 4/(n+1))

When we sum the series, we observe that consecutive terms cancel out:

s_n = 4/3 - 4/(n+1)

Now, we'll check the convergence or divergence of the series as n approaches infinity:

lim (s_n) as n→∞ = lim (4/3 - 4/(n+1)) as n→∞

Since the second term 4/(n+1) approaches 0 as n approaches infinity, the limit converges to 4/3.

Therefore, the series is convergent.

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Constructing the four lines that intersect the circumference of the circle and form the square.

To construct a circle inscribed in a square, first draw a square with the desired side length.

Next, draw two diagonals from opposite corners of the square. This will divide the square into four quadrants. Measure the length of each diagonal.

Divide the length of each diagonal by two and mark the midpoints of each diagonal.

This will create four points which will define the circle. Connect each of the midpoints with a curved line to form a circle inscribed in the square.

Finally, use a compass to adjust the curve of the circle until it is perfectly symmetrical.

The circle should be perfectly centered in the square and tangent to each of its sides.

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Answer: (A) Set compass to the diameter of the circle.

Step-by-step explanation:

Answer:

you get the age of President Clinton when he first inaugurated. How old was president G. H. W. bush when he was inaugurated?​

Step-by-step explanation:

YOUR WELCOME HAVE A GREAT DAY

It all depends on how you want your hamburger. If you're serving it as a main dish, 300 hamburger patties (each around 4 ounces) should be plenty to feed 300 people. If you utilize hamburger meat as a topping or filler in a meal, you'll need a different amount.

Arithmetic operations is a field of mathematics that studies numbers and the operations on numbers that are helpful in all other disciplines of mathematics. It consists mostly of operations like addition, subtraction, multiplication, and division. Arithmetic Operator is used to conduct mathematical operations on the supplied operands such as addition, subtraction, multiplication, division, modulus, and so on. The four basic arithmetic operations are addition, subtraction, multiplication, and division. Arithmetic mean is a number calculated by dividing the sum of a set's elements by the number of values in the set.

Here,

It all depends on how you want to eat the hamburger. If you're serving it as a main course, 300 hamburger patties, each weighing around 4 ounces, should plenty to satisfy 300 people. It will need a different quantity of hamburger meat if you use it as a topping or filler in a dish.

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Complete question:

How much hamburger will it take to make 300 three oz patties with a 20% shrinkage?

Answer:

c. 37

Step-by-step explanation:

I just looked it up lol. hope this helps tho :p

The correct answer is option A. Which is the solution of the given equation will be (15,15).

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Given equations are solved as:-

a - 1.2b = -3 or a = -3 + 1.2b

0.2a + 0.6b = 12

Put the value of a from equation 1 to the equation second.

0.2 ( -3 + 1.2 b)  + 0.6b = 12

-0.6 + 0.24b + 0.6b = 12

0.84b = 12  + 0.6

0.84 b = 12.06

b  = 15

Put the value of b in the first equation to find the value of a.

a = 1.2b - 3

a = (1.2 x 15) - 3

a = 15

Therefore the correct answer is option A. Which is the solution of the given equation will be (15,15).

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To price the derivative using the two-period binomial model, we need to calculate the expected payoff of the derivative using the risk-neutral probabilities.

The possible outcomes for the two-period binomial model are H and T,  there are four possible states of the world: HH, HT, TH, and TT.

To calculate the expected payoff we need to calculate the probability of each state occurring. The probability of HH occurring is pp=0.60.6=0.36, the probability of HT and TH occurring is pq+qp=0.60.4+0.40.6=0.48, and the probability of TT occurring is qq=0.40.4=0.16.

Next, we can calculate the expected payoff in HH and TT states, the derivative pays off 1, and in the HT and TH states, the derivative pays off 0. The expected payoff of the derivative in the HH and TT states is 10.36=0.36, and the expected payoff in the HT and TH states is 00.48=0.

We need to discount the expected payoffs back to time 0 using the risk-neutral probabilities.

The probability of that state occurring multiplied by the discount factor, which is 1/(1+r), where r is the risk-free interest rate.

Since this is a risk-neutral model, the risk-free interest rate is equal to 1. Therefore, the risk-neutral probability of each state occurring is

HH: 0.36/(1+1) = 0.18

HT/TH: 0.48/(1+1) = 0.24

TT: 0.16/(1+1) = 0.08

Finally, we can calculate the price of the derivative

Price = 0.181 + 0.240 + 0.240 + 0.081 = 0.26

Therefore, the price of the derivative is 0.26.

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Answer:

Steps to simplifying fractions

   Find the GCD (or HCF) of numerator and denominator. GCD of 224 and 100 is 4.

   224 ÷ 4100 ÷ 4.

   Reduced fraction: 5625. Therefore, 224/100 simplified to lowest terms is 56/25.

Step-by-step explanation:

a) She reaches a velocity of 4 miles per hour at \(t = 5\,h\).

b) The girl travels a distance of 6 miles in the first 3 hours.

c) The girl travels a distance of approximately 22.283 miles during her entire hike.

d) The average velocity of the girl is approximately 2.476 miles per hour.

a) The maximum velocity represent the maximum value in the vertical axis reached by the girl in time. According to the graph, she reaches a velocity of 4 miles per hour at \(t = 5\,h\).

b) Travelled distance is represented graphically by the area below the curve and above the time axis. The travelled distance (\(\Delta x\)), in miles, during the first 3 hours is represented by the area of a rectangle, that is to say:

\(\Delta x = v(3)\cdot \Delta t\) (1)

Where:

If we know that \(\Delta t = 3\) and \(v(3) = 2\), then the travelled distance in the first 3 hours is:

\(\Delta x = (2)\cdot (3)\)

\(\Delta x = 6\,mi\)

The girl travels a distance of 6 miles in the first 3 hours.

c) The travelled distance is determined by the following geometric expression:

\(\Delta x = v(3)\cdot t_{1} + 0.5\pi\cdot [v(5)-v(3)]^{2}+0.5\cdot v(3)\cdot (t_{2}-t_{1})\) (2)

If we know that \(v(3) = 2\), \(t_{1} = 7\), \(v(5) = 4\) and \(t_{2} = 9\), then the travelled distance is:

\(\Delta x = 2\cdot 7 + 0.5\pi\cdot (4-2)^{2}+0.5\cdot 2\cdot (9-7)\)

\(\Delta x \approx 22.283\,mi\)

The girl travels a distance of approximately 22.283 miles during her entire hike.

d) The average velocity (\(\bar v\)), in miles per hour, is obtained by dividing the traveled distance (\(\Delta x\)), in miles, found in c) by time.

\(\bar v = \frac{\Delta x}{\Delta t}\) (3)

If we know that \(\Delta x \approx 22.283\) and \(\Delta t = 9\), then the average velocity of the girl is:

\(\bar v = \frac{22.283}{9}\)

\(\bar v \approx 2.476\,\frac{mi}{h}\)

The average velocity of the girl is approximately 2.476 miles per hour.

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Mr. Jones bought approximately 13 pamphlets.

In this problem, we have two types of items: books and pamphlets. Books cost 50¢ and pamphlets cost 15¢ at the book sale.

Let's use variables to represent the quantities we don't know. Let's say Mr. Jones bought x books and y pamphlets.

We are given two pieces of information:
1. Mr. Jones spent $90 on his purchases.
2. He bought 15 more pamphlets than books.

Now, let's set up the equations based on the given information.

First, let's consider the cost equation. The total cost of the books and pamphlets should equal $90.

The cost of x books is 50¢ * x, and the cost of y pamphlets is 15¢ * y. So, the equation becomes:
50x + 15y = 90

Next, let's consider the second piece of information. Mr. Jones bought 15 more pamphlets than books, which means y = x + 15.

Now, we have a system of two equations:
50x + 15y = 90
y = x + 15

To solve this system, we can use substitution or elimination method. Let's use substitution:

Substitute the value of y from the second equation into the first equation:
50x + 15(x + 15) = 90

Simplify the equation:
50x + 15x + 225 = 90
65x + 225 = 90

Subtract 225 from both sides:
65x = 90 - 225
65x = -135

Divide both sides by 65:
x = -135 / 65
x ≈ -2.08

Since we cannot have a negative number of books, we know that x must be a positive whole number. So, let's round x to the nearest whole number:
x ≈ -2

Now, substitute this value of x back into the second equation to find y:
y = x + 15
y ≈ -2 + 15
y ≈ 13

Therefore, Mr. Jones bought approximately 13 pamphlets.

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The surface is parameterized by

\(\vec s(u,v) = x(u, v) \, \vec\imath + y(u, v) \, \vec\jmath + z(u, v)) \, \vec k\)

and the normal to the surface is given by the cross product of the partial derivatives of \(\vec s\) :

\(\vec n = \dfrac{\partial \vec s}{\partial u} \times \dfrac{\partial \vec s}{\partial v}\)

It looks like you're given

\(\begin{cases}x(u, v) = u + v\\y(u, v) = 2u^2\\z(u, v) = u - v\end{cases}\)

Then the normal vector is

\(\vec n = \left(\vec\imath + 4u \, \vec\jmath + \vec k\right) \times \left(\vec \imath - \vec k\right) = -4u\,\vec\imath + 2 \,\vec\jmath - 4u\,\vec k\)

Now, the point (2, 2, 0) corresponds to u and v such that

\(\begin{cases}u + v = 2\\2u^2 = 2\\u - v = 0\end{cases}\)

and solving gives \(u = v = 1\), so the normal vector at the point we care about is

\(\vec n = -4\,\vec\imath+2\,\vec\jmath-4\,\vec k\)

Then the equation of the tangent plane is

\(\left(-4\,\vec\imath + 2\,\vec\jmath - 4\,\vec k\right) \cdot \left((x-2)\,\vec\imath + (y-2)\,\vec\jmath + (z-0)\,\vec k\right) = 0\)

\(-4(x-2) + 2(y-2) - 4z = 0\)

\(\boxed{2x - y + 2z = 2}\)

The percentage markup the store made before selling those speakers

are 136.33%.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, A store bought a set of speakers for $82.86 and sold them for

$195.82.

So, The amount of profit is $(195.82 - 82.86).

= $112.96.

Now, The markup percentage can be obtained by the concept of the percentage change.

Now to obtain percentage change we'll divide the net amount change by the original amount and multiply it by 100% which is,

= (112.96/82.86)×100%.

= 136.33%.

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Answer:

31/24 or 1.29

Step-by-step explanation:

First isolate m to one side of the equation

7/8+5/12=m

21/24 + 10/24=m

31/24=m or you can simplify to get 1.29