does not converge Determine if the sequence {an} converges when 5n(2n - 1) an = (2n + 1)! and if it converges, find the limit. 5 2. converges with limit = NIT 2 2 3. converges with limit = CTN 4 4. converges with limit = CT 5 5 5. converges with limit = 4

Answer:

This is a sequence where you multiply that number 3 times.  For example, 2 x 3 = 6.  6 x 3 = 18.  18 x 3 = 54 and so on.  Therefore, multiplying 3 by the number is the Answer.

Answer:

θ ≈ 50.1°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cosθ = \(\frac{adjacent}{hypotenuse}\) = \(\frac{61}{95}\) , then

θ = \(cos^{-1}\) ( \(\frac{61}{95}\) ) ≈ 50.1° ( to the nearest tenth )

Because the base is 1/4, which is smaller than 1, we conclude that this is an exponential decay.

A general exponential function is of the form:

y = A*(b)^x

Where A is the initial value, b is the base, and x is the variable.

If 0 < b < 1, then we have an exponential decay.

if b > 1, then we have an exponential growth.

In this case, the function is:

y = 0.5*(1/4)^x

So b =1/4 <  1.

Then we have an exponential decay.

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Answer:

6, 8, and 10.

Step-by-step explanation:

You could work this out with the pythagorean theorem, by proving that 6^2, 36, plus 8^2, 64, equals 100. The fastest way, however, is to use pythagorean triples. These are predetermined sets of numbers that work as side lengths for right triangles. The first two are 3, 4, and 5, which form a right triangle, and 6, 8, and 10, shown here.

Answer:

d; 151 bracelets

Step-by-step explanation:

to find this out we must divide each number of beads by their matching color amounts

1012 / 5 is 202.4 or 202

998 / 6 is 164.6... or 164

1057 / 7 is 151

151 is the least number out of all of these and in this case you can only make 151 bracelets or else you would run out of white

Step-by-step explanation:

anyway, without any further information about ground consistency, friction and stuff, we have to assume ideal circumstances.

so, the same energy that made the ball flying through the air makes it also bounce or roll across the ground carrying it exactly the same distance at the same time.

the distances with an ideal, reflective ground will be the same.

it is the same energy released with the same inertia.

The surface area should increase by a factor of 4.

Cells typically keep the surface-to-volume ratio high. If a cell was a cube and you doubled the height, width, and length of the cell, the surface area would increase by a factor of 4.

Here is how to get to that answer: If the cell is a cube, then the formula for the surface area of the cube is 6a², where "a" is the length of one of the sides of the cube. Let's call the original length of the side "x".

If we double the height, width, and length of the cell, then the new length of each side of the cube will be 2x. So, the new surface area will be: 6(2x)² = 6(4x²) = 24x²

The new surface area is 24 times the original surface area (6x²).

Therefore, the surface area increases by a factor of 4 (24 divided by 6 is 4).

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Answer:

All of the above are correct.

Answer:

Nope

Step-by-step explanation:

-6 is greater then -8

And in this case its a less then sign.

So its wrong

Answer:

-4

Step-by-step explanation:

-4 is a negative integer

The factor of 16x⁸ − 1 is  (2x² - 1)(2x² + 1)(4x⁴+ 1 ) after applying the identity.

What is factorization?

Factorization is the process of dividing a large number into smaller ones that when multiplied together, yield the original number. Writing a number or other mathematical object as the sum of numerous factors is the process of factoring.

Here, we have

Given: 16x⁸ - 1.

We have to factorize completely.

From the identity:

a² - b² = (a+b)(a-b)

= (4x⁴)² - 1

= (4x⁴-1)(4x⁴+1)

Again applying identity in the first term

= (2x²-1)(2x²+1)(4x⁴+1)

Hence, the factor of 16x⁸ − 1 is  (2x² - 1)(2x² + 1)(4x⁴+ 1 ) after applying the identity.

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In a case whereby Adam traveled out of town for a regional basketball tournament. He drove at a steady speed of 72.4 miles per hour for 4.62 hours. The exact distance Adam traveled was miles Adam traveled a distance of about 335 miles.

The distance traveled in a unit of time is called speed. It refers to a thing's rate of movement. The scalar quantity known as speed is the velocity vector's magnitude. It has no clear direction.

Speed = Distance/ time

speed =72.4 miles

time=4.62 hours

Distance =speed * time

= 72.4 *4.62

Distance = 334.488 miles

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complete question;

Adam traveled out of town for a regional basketball tournament. He drove at a steady speed of 72.4 miles per hour for 4.62 hours. The exact distance Adam traveled was miles. Rounding decimals to the nearest whole number, Adam traveled a distance of about miles.

Answer:

D. 145°

Step-by-step explanation:

Since Angles ∠CBA and ∠DBE are vertically opposite

Then

m∠CBA = m∠DBE

Then

2x + 21 = 5x

Then

3x = 21

Then

x = 7

Therefore

m∠DBE = 5x = 5 × 7 = 35

…………………………………………………

Since Angles ∠DBE and ∠ABE are supplementary

Then

m∠ABE = 180 - m∠DBE

             = 180 - 35

             = 145°

Answer:

a = 370,000

b = 2,115,000

c = 4,230,000

city c is 11.4 times the population of city a

Step-by-step explanation:

10 to the 5 degree is 100,000. multiply that by 3.7 to get the population of City a.

City C is 2,115,000 * 2.

divide the population of City C by the population of City a.

4,230,000 ÷ 370,000= 11.43

Step-by-step explanation:

|6| = 6 means the absolute value of 6 is 6.

Answer:

Its 6.

Step-by-step explanation:

the absolute value of a positive number is that number and the absolute value of a negative number is the same number just positive.

Answer:

36

Step-by-step explanation:

To find percent, turn the percent into a fraction (turn 40% into .40) then multiply it by the total number (90).

Answer:

nfdsBFS>BFBms?FBsbn

Step-by-step explanation:vkhgv

SFsASFWWFmreweebwfjfeWBEfeb

Answer:

Given equation is, x+3y=6

To determine whether each order pair is a solution of the equation

(3,1)

we have that, when x=3 we get y=1

Let us check this in the equation.

Put x=3, we get

Hence (3,1) is the solution of the equation.

(6,0)

Put x=6, we get,

Hence (6,0) is the solution of the equation.

(-2,2/3)

Put x=-2, we get,

Hence (-2,2/3) is not the solution of the equation.

Answer:

2

Step-by-step explanation:

one cookie plus one cookie is two cookies

Answer:

25 kids are in the class

Step-by-step explanation:

Answer:

there are 24 students that like chocolate

Answer:

The anwser is 10

Step-by-step explanation:

Its not very hard just hold up 8 fingers then add 2 more

im and very sorry if i didn't understand the question its my first time using this app

Therefore,L{y(t)} = 5/(s + 2) + 3/s

To get y(t), apply inverse Laplace transform. This gives:

y(t) = 1.5 + 1.5e^(-2t)

The Laplace Transform for the given differential equation is obtained using the property that the Laplace transform of the derivative of a function equals s times the Laplace transform of the function minus the value of the function at zero.

Given differential equation:

dtdy(t)​+2y(t)=5

Take Laplace transform of both sides of the equation.

L{dy(t)/dt} + 2L{y(t)} = 5

Taking Laplace transform of the left-hand side of the equation using the differentiation property of Laplace transform gives:

sL{y(t)} - y(0) + 2L{y(t)} = 5

Simplifying the above equation using the initial condition y(0) = 3 gives:

sL{y(t)} - 3 + 2L{y(t)} = 5 Therefore, L{y(t)} = 5/(s + 2) + 3/s

To get y(t), apply inverse Laplace transform. This gives:

y(t) = 1.5 + 1.5e^(-2t)

The Laplace transform is an essential mathematical tool that is used to convert time-domain functions into functions in the Laplace domain. This transformation simplifies the analysis of differential equations as it transforms the differential equations into algebraic equations that can be solved easily.

In this question, we are given a differential equation that we need to convert into Laplace domain and find its solution using the given initial condition.

The Laplace Transform for the given differential equation is obtained using the property that the Laplace transform of the derivative of a function equals s times the Laplace transform of the function minus the value of the function at zero.

We apply this property to the given differential equation and simplify it by using the initial condition. We then obtain the Laplace transform of the function. To get the solution in the time domain, we apply the inverse Laplace transform.

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Answer:

$8.29 for 2.16 kg of bananas

Step-by-step explanation:

We can break the equation down by the following:

3.84 dollars / kg x 2.16 kg of bananas = 8.29 dollars = $8.29 for 2.16 kg of bananas

Answer:

24%

Step-by-step explanation:

percentage change = change/original x 100

120-97 = 23

23/97 x 100 = 24%

Answer:

19% increase

Step-by-step explanation:

Divide 97/120, then multiply it by 100. After that, you can subtract the answer by 100. The answer will be negative, so make it positive.

Answer:

I think it is 0.909090909090. Hope this helped.

Step-by-step explanation:

Answer:

k = -5

Step-by-step explanation:

x²-12x+1 = kx - 11  ==> since both graph intersect

(4)²-12(4)+1 = k(4) - 11   ==> plug in 4 for x

16 - 48 + 1 = 4k - 11

-32 + 1 = 4k - 11  ==> simplify

-31 = 4k - 11  ==> simplify

-31 + 11 = 4k - 11 + 11  ==> add 11 on both sides to isolate k

-20 = 4k ==> solve for k

k = -20/4

k = -5

Answer:

the value of k comes out to be -5

Answer:

The answer is g(x)=(x-2)^2+1

Step-by-step explanation:

The equation of the blue graph is y = (x - 4)² + 1.

Option D is the correct answer.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

The graphs of y = x² and y = (x - 4)² + 1 are both parabolas.

The graph of y = x² is a simple upward-facing parabola that passes through the origin.

As x increases or decreases, the value of y increases but at an increasingly slower rate until it reaches a minimum at x = 0, where it turns back upwards and continues to increase at an increasingly faster rate.

The graph of y = (x - 4)² + 1 is also a parabola, but it is shifted 4 units to the right and 1 unit up compared to y = x².

Thus,

The equation of the blue graph is y = (x - 4)² + 1.

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Answer:

−5

Step-by-step explanation:

6−4−5−6−2+6

Subtract 4 from 6 to get 2.

2−5−6−2+6

Subtract 5 from 2 to get −3.

−3−6−2+6

Subtract 6 from −3 to get −9.

−9−2+6

Subtract 2 from −9 to get −11.

−11+6

Add −11 and 6 to get −5.

−5

Answer:

-5

Step-by-step explanation:

6 - 4 = 2

2 - 5 = -3

-3 - 6 = -9

-9 - 2 = -11

-11 + 6 = -5

Answer:

Ask safari

Step-by-step explanation:

Easy peasy lemon squeaky

Answer:11.196 i think

Step-by-step explanation: Area = 3x(2 +\(\sqrt{3}\) = 11.196 ionk if it's right or not