Which retirement plan(s) do not come with a guaranteed benefit at retirement?


401(k)
Fixed annuity
Roth IRA
Traditional IRA
II, III
III, IV
I, III, IV
I, II

To solve the integral, start by integrating by parts with u = √a + x^n/x and v' = dx.

For the derivative and simplification, solve it by using the chain rule to find the derivative of the inner and outer functions. The answer is yes, one must solve a) and b) to solve c).

Given,

a) derivative is d/dx ln√|x-√a|/|x+√a|

We know that log(a/b) = log a - log b

By using the above property

,ln√|x-√a|/|x+√a| = 1/2 ln|x-√a| - 1/2 ln|x+√a|

Therefore,

d/dx ln√|x-√a|/|x+√a| = 1/2 (1/(x-√a) + 1/(x+√a))

= (x+√a+x-√a)/(2(x-√a)(x+√a))

= 1/(x^2-a)

Simplify the expression as it is a fraction.

b) ∫(√a+x^n/x) dx

We know that the formula for integration by parts is ∫u dv = uv - ∫v du.

So, here we take u = √a+x^n/x and v' = dx.

Therefore, du/dx = n * x^(n-1)/x = nx^(n-2).

Now integrate v' with respect to x.

Therefore, v = x.

Using integration by parts,

∫(√a+x^n/x) dx = √a*x - ∫x*n*x^(n-2) dx

= √a*x - n* ∫x^(n-1) dx

= √a*x - n*x^n/n

= √a*x - x^n

Now we can use the limits 1 and a in the final expression to calculate the exact area of the surface obtained by rotating y = 1/x - 1 about the y-axis, for 1 ≤ x ≤ a.

The surface area of revolution is given by:

∫ 2πy√(1 + (dy/dx)^2) dx

where y = 1/x - 1dy/dx

= -1/x^2.

Using the values of y and dy/dx, we get,

∫ from 1 to a [2π(1/x - 1)√(1 + (1/x^4)) dx]= ∫ from 1 to a [2π(1/x - 1)√(1 + 1/x^4) dx]

= 2π(∫ from 1 to a [(1/x - 1)√(x^4 + 1) dx])

= 2π(∫ from 1 to a [(x^3 - x^4)√(x^4 + 1) dx]/x)

= 2π(∫ from 1 to a (x^2√(x^4 + 1) dx - ∫ from 1 to a (x^3√(x^4 + 1) dx)/x^2)

Now, we can use substitution for both integrals.

Let x^4 + 1 = u.

Then, 4x^3 dx = du.

So,∫ from 1 to a [(x^3 - x^4)√(x^4 + 1) dx]/x= ∫ from 2 to (a^4 + 1)^(1/4) [(u - 1)√u/4 du]/(u^(1/4) - 1)

= 2 ∫ from 2 to (a^4 + 1)^(1/4) [√u + 1/√u - 2(1/(u^(1/4) - 1))] du

= 2[∫ from 2 to (a^4 + 1)^(1/4) √u du + ∫ from 2 to (a^4 + 1)^(1/4) 1/√u du - 2∫ from 2 to (a^4 + 1)^(1/4) 1/(u^(1/4) - 1) du]

The first two integrals are easily evaluated using substitution.

For the third integral, we use the partial fraction decomposition.

Therefore,

1/(u^(1/4) - 1) = A + Bu^(1/4) + Cu^(1/2) + Du^(3/4).

Substituting u = 16 and u = 1 gives

A = 1/4,

B = -1/4,

C = 3/16,

and D = 1/16.

Using the values of A, B, C, and D, we get

2[∫ from 2 to (a^4 + 1)^(1/4) √u du + ∫ from 2 to (a^4 + 1)^(1/4) 1/√u du - 2∫ from 2 to (a^4 + 1)^(1/4) 1/(u^(1/4) - 1) du]= 2[2/3(u^(3/2)) + 2(u^(1/2)) - 2(1/4ln(u^(1/4) - 1) - 1/2ln(u^(1/2) - 1) + 1/4ln(u^(3/4) - 1))]from 2 to (a^4 + 1)^(1/4)

This is the final solution.

Therefore, the exact area of the surface obtained by rotating y = 1/x - 1 about the y-axis, for 1 ≤ x ≤ a is

4π/3 + 2π(a - 1)√(a^4 + 1) - πln[(a^(1/4) + 1)/(a^(1/4) - 1)] - πln[(a^(1/2) + 1)/(a^(1/2) - 1)] + πln[(a^(3/4) + 1)/(a^(3/4) - 1)]

The exact area of the surface obtained by rotating y = 1/x - 1 about the y-axis, for 1 ≤ x ≤ a is

4π/3 + 2π(a - 1)√(a^4 + 1) - πln[(a^(1/4) + 1)/(a^(1/4) - 1)] - πln[(a^(1/2) + 1)/(a^(1/2) - 1)] + πln[(a^(3/4) + 1)/(a^(3/4) - 1)].

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9514 1404 393

Answer:

  The sum is a binomial with a degree of 3.

Step-by-step explanation:

The sum is ...

  (6s²t -2st²) +(4s²t -3st²) = s²t(6 +4) +st²(-2 -3)

  = 10s²t -5st² . . . . . . . a binomial of degree 3

__

The degree of the polynomial is the maximum sum of the degrees of the variables in each term. The first term is degree 2+1 = 3; the second term is of degree 1+2 = 3. The degree of the binomial is 3.

Answer:

The sum is a binomial with a degree of 3.

Step-by-step explanation:

Yeah the dude or dudette or they above me is right

Using the geometric sequence, we know that the relationship between the F, G, and H is (D) h = g^2/f.

A geometric progression sometimes referred to as a geometric sequence in mathematics, is a series of non-zero numbers where each term following the first is obtained by multiplying the preceding one by a constant, non-zero value known as the common ratio.

So, let r represent the common ratio:

f(r) = g   ...(1)

g(r) = h   ...(2)

Put "r" as the topic in both equations:

f(r) = g   ...(1)

r = g/f   ...(3)

g(r) = h   ...(2)

r = h/g   ...(4)

Since r = g/f (3), change r in (4) to g/f:

r = h/g   ...(4)

g/f = h/g   ...(5)

Equation V's two sides should be multiplied by g:

g/f = h/g   ...(5)

g/f X g = h/g X g

g^2/f = h

h = g^2/f

Therefore, using the geometric sequence, we know that the relationship between the F, G, and H is (D) h = g^2/f.

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Complete question:
A student wrote the first three values in a geometric sequence as shown below.

F, G,H...

Which of the following shows the correct relationship between these terms?

A. f-g=g-h

B. fg=gh

C.h=g/f

D.h=g^2/f

The only option that is true as regards the congruent angles is:

Option B: JM bisects LK

Congruent Angles are simply defined as the angles that have the same measure which means that the angles are equal.

Now, let us look at the given options:

Option A: This statement is not true because ∠ABL is not an opposite angle to ∠JBK and as such cannot be congruent to it.

Option B: This statement is true because we see the mark alongside line LK showing that LB is equal to BK. Thus, JM truly bisects LK

Option C. This is not true as CK is not perpendicular to AC

Option D: They are not collinear points as they don't lie on a straight line

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The given information is as follows:A random sample of 150 teachers in an​ inner-city school district found that​ 72% of them had volunteered time to a local charitable cause within the past 12 months.

The formula for calculating the standard error of sample proportion is given as:$$Standard\(\ error=\frac{\sqrt{pq}}{n}$$\)where:p = proportion of success in the sampleq = proportion of failure in the samplen = sample sizeGiven:Sample proportion, p = 72% or 0.72Sample size, n = 150

The proportion of failure in the sample can be calculated as:q = 1 - p= 1 - 0.72= 0.28Substituting the known values in the above formula, we get:\($$Standard \ error=\frac{\sqrt{pq}}{n}$$$$=\frac{\sqrt{0.72(0.28)}}{150}$$$$=0.0372$$\)Rounding off to the nearest thousandth, we get the standard error of sample proportion as 0.037

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Answer:

x=4 positive solution

Step-by-step explanation:

hello :

-x²-x+20 = 0

-(x²+x-20) = 0

means : x²+x-20=0

(x+5)(x-4) =0

x+5 =0 or x-4 =0

x = - 5 refused  x=4 positive solution

Statistical sampling is generally considered better to use than nonstatistical sampling when testing controls because it allows for more objective and precise results.

With statistical sampling, a representative sample of items is selected using a predetermined method, which ensures that the sample is unbiased and has a known level of precision. This means that the results obtained from the sample can be extrapolated to the entire population with a high degree of confidence. Nonstatistical sampling, on the other hand, relies on the judgment of the auditor to select the sample items, which can lead to a biased sample and less precise results. Additionally, statistical sampling allows for the calculation of sample sizes based on the desired level of confidence and the estimated error rate, which can help optimize the testing process and reduce costs. Overall, statistical sampling is a more reliable and efficient method for testing controls than nonstatistical sampling.

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The system of linear equations has no solutions for any value of k except when k = 2, where it has infinitely many solutions.

(a) To reduce the augmented matrix for the system of linear equations to row-echelon form, we can write the system of equations as:

2 - y = kx

-y = k

To eliminate y in the first equation, we can multiply the second equation by (-1) and add it to the first equation:

(2 - y) - (-y) = kx - k

2 = kx - k

This gives us a new system of equations:

2 = kx - k

Now, we can represent this system in augmented matrix form:

[1 -k | 2]

(b) To find the values of k, we can examine the augmented matrix.

If the system has no solutions, it means that the rows of the augmented matrix result in an inconsistent equation, where the last row has a leading nonzero entry. In this case, for the system to have no solutions, the augmented matrix should have a row of the form [0 0 | c], where c ≠ 0. In our case, the augmented matrix [1 -k | 2] doesn't have this form, so there are no values of k that lead to no solutions.

If the system has exactly one solution, the augmented matrix should be in row-echelon form, with each row having at most one leading nonzero entry. In this case, the augmented matrix should not have any rows of the form [0 0 | c], where c ≠ 0. In our case, the augmented matrix can be reduced to row-echelon form as follows:

[1 -k | 2]

From this form, we can see that there are no restrictions on the value of k. For any value of k, the system will have exactly one solution.

If the system has infinitely many solutions, the augmented matrix should have at least one row of the form [0 0 | 0]. In our case, the augmented matrix can be reduced to:

[1 -k | 2]

From this form, we can see that if k = 2, the last row becomes [0 0 | 0]. Therefore, for k = 2, the system will have infinitely many solutions.

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Answer:

15 ft

Step-by-step explanation:

This is another classic case of Pythagoras theorem. To start with, let's assume that the length of the ladder we're looking for is x

We're told that the height of the building the ladder is leaning on is, x - 3

Also we're told that the distance at an adjacent from the ladder is 9 ft.

If we use Pythagoras theorem, we have

x² = (x - 3)² + 9²

x² = x² - 6x + 9 + 81

On rearranging, we have

x² - x² = -6x + 90

6x = 90

x = 90 / 6

x = 15 ft

Therefore, the length of the ladder is found to be 15 ft

Answer:

B. 16

Step-by-step explanation:

A. 4

B. 16

C. 36

D.64

Answer:

Step-by-step explanation:

Let width be x

Let lenght be 25 + x

Total ax = (25+x) * x

Square with 5in long are cut from the four corner formed = 750in

(25+x-10) * (x-10) * 5 = 750

(15+x) (x-10) = 150

15x-150+x^2-10x =150

15x -150-150+x^2-10x+0

x^2+15x-300=0

(ax^2+bx+c=0)

Option 2 is correct that is 1.79

When presented in ascending order, the value that 75% of data points fall within is known as the higher quartile, or third quartile (Q3).

The quartiles formula is as follows:

Upper Quartile (Q3) = 3/4(N+1)

Lower Quartile (Q1) = (N+1) * 1/3

Middle Quartile (Q2) = (N+1) * 2/3

Interquartile Range = Q3 -Q1,

1.74, 0.24, 1.56, 2.79, 0.89, 1.16, 0.20, and 1.84 are available.

Sort the data as follows: 0.20, 0.24, 0.89, 1.16, 1.56, 1.74, 1.84, 2.79 in ascending order of magnitude.

The data set has 8 values.

hence, n = 8; third quartile: 3/4 (n+1)th term

Q3 =3/4 of a term (9) term

Q3 =27/4 th term

Q3 = 1.74 + 1.84 / 2 (average of the sixth and seventh terms)

equals 1.76

Thus Q3 is 1.76 that is option 2

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Answer:

true

Step-by-step explanation:

3+3+3+3+3+3+3+3=24.

Mark me brainliest please ._.

Answer:

did u just answer ur own question

Step-by-step explanation:

The single transformation that took place from their starting position to their final destination is (x, y) ⇒ (x + 7, y)

What is transformation?

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Translation is the movement of a point either up, down, left or right in the coordinate plane.

Hikers walk 3 miles east and then 2 miles north and take a water break. Hence:

(x, y) ⇒ (x + 3, y + 2)

They continue hiking 4 miles east and a final 2 miles south to their destination:

(x, y) ⇒ (x + 3 + 4, y + 2 - 2) ⇒ (x + 7, y)

The single transformation that took place from their starting position to their final destination is (x, y) ⇒ (x + 7, y)

Answer:

2.5

Step-by-step explanation:

if it is divison then the answer would be 2.5

if its additin is  35

if subtraction it is 15

if multipcation  250

Answer:

red or 1/a9

Step-by-step explanation:

with that it is

a^ (3-12)

a^ (-9)

and then you can't have -9 in the top so you put it on the bottom

1/ a^9

Answer:

\(\frac{1}{a^9}\)

Step-by-step explanation:

Cancel the common factor of \(a^3\) and \(a^1^2\)

\(a^3^-^1^2=a^-9\)

Same things as 3-12 = -9

Hence, [Red] or \(\frac{1}{a^9}\) is the correct Answer.

[RevyBreeze]

Answer:

C., G, and J

Step-by-step explanation:

Answer:

2 4/9

Step-by-step explanation:

1.)  10/9-(-1 1/3)

2.) 10/9+ 1 1/3

3.) 3x1+1=4/3

4.)10/9+4/3

5.)(10×3)+(4×9)

6.)30+36

7.)66/27

8.) 2 4/9

Answer:

sin w = 15/17

Step-by-step explanation:

sin w = opp/hyp

opp of W is VX = 15

hyp is the longest = 17

sin w = 15/17

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

Explanation:

A drawing may help. See the image below.

Angle X is the 90 degree angle, so angles W and W are the acute angles of right triangle VWX.

The reference angle here is W. Since this is the reference angle, the side opposite angle W is VX = 15. We simply call this "opposite".

The hypotenuse is always opposite the 90 degree angle. This is true no matter what acute reference angle you pick. Since X = 90, this makes WV = 17 the opposite side. Also, the hypotenuse is always the longest side.

The sine of an angle is the ratio of the opposite and hypotenuse

sin(angle) = opposite/hypotenuse

sin(W) = VX/WV

sin(W) = 15/17

Side note: The side XW = 8 isn't used at all. If you wanted to compute cos(W) or tan(W), then you would use side XW.

Answer:

No.

Step-by-step explanation:

No because the dot is not in the area where BOTH red AND blue cover. It is only in the red area, not in BOTH red AND blue.

The probability P(X=2, Y+Z ≤ 3) is 13. Random variables are variables in probability theory that represent the outcomes of a random experiment or event.

To find the probability P(X=2, Y+Z ≤ 3), we need to sum up the joint probabilities of all possible combinations of X=2, Y, and Z that satisfy the condition Y+Z ≤ 3.

Step 1: List all the possible combinations of X=2, Y, and Z that satisfy Y+Z ≤ 3:

X=2, Y=1, Z=1

X=2, Y=1, Z=2

X=2, Y=2, Z=1

Step 2: Calculate the joint probability for each combination:

For X=2, Y=1, Z=1:

f(2, 1, 1) = (2+1) * 1 = 3

For X=2, Y=1, Z=2:

f(2, 1, 2) = (2+1) * 2 = 6

For X=2, Y=2, Z=1:

f(2, 2, 1) = (2+2) * 1 = 4

Step 3: Sum up the joint probabilities:

P(X=2, Y+Z ≤ 3) = f(2, 1, 1) + f(2, 1, 2) + f(2, 2, 1) = 3 + 6 + 4 = 13

They assign numerical values to the possible outcomes of an experiment, allowing us to analyze and quantify the probabilities associated with different outcomes.

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Answer:

\(y=3cos(\frac{1}{2} (x+}225)+4\)   phase shift in degrees

\(y=3cos(\frac{1}{2} (x+\frac{5\pi }{4}))+4\)   phase shift in pi radians

Step-by-step explanation:

Here is the equation for the graph of the cosine function.

y = A sin(B(x + C)) + D

A = amplitude

period is 2π/B

C = phase shift

D = vertical shift

Lets convert 1800° to Pi radians.

\(1800*\frac{\pi }{180}\)

\(180(10)*\frac{\pi }{180}\)

\(10*\frac{\pi }{180}\)

\(10\pi\) radians

A = 3

B=2π/ 10π  simplifies to \(\frac{1}{2}\)

C = phase shift

D = 4

\(y=3cos(\frac{1}{2} (x+}225)+4\)   phase shift in degrees

\(y=3cos(\frac{1}{2} (x+\frac{5\pi }{4}))+4\)   phase shift in pi radians

It will take 3.07 m long to reach at its maximum height.

The volleyball will reach at the maximum height at 0.673 s after it is served. The  Calculating for the height the volleyball  will reach before going to  downwards. Therefore the volleyball will do have a maximum height of 3.07 m  with respect to the ground.

3.78 m Ignoring resistance, the ball will travel upwards until it's velocity is 0 m/s. So we'll first calculate how many seconds that takes.

7.2 m/s / 9.81 m/s^2 = 0.77945s

The distance traveled is given by the formula d = 1/2 AT^2, so substitute the known value for A and T, giving

d = 1/2 A T^2 d = 1/2 9.81 m/s^2 (0.77945 s)^2 d = 4.905 m/s^2 0.607542 s^2 d = 2.979995

m So the volleyball will travel 2.979995 meters straight up from the point upon which it was launched. So we need to add the 0.80 meters initial height.

d = 2.979995 m + 0.8 m = 3.779995

m Rounding to 2 decimal places gives us 3.78 m.

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Answer:

\(perimeter = ( {2x}^{2} + 3x + 7) + ( {x}^{2} + 5) \\ = (3 {x}^{2} + 3x + 12) \: units\)

Answer:

\(P=6x^2+6x+24\)

Step-by-step explanation:

\(P=2w+2l\\\\w=x^2+5\\\\l=2x^2+3x+7\\\\P=2(x^2+5)+2(2x^2+3x+7)\)

Answer:

The answer would be 45/12 or 15/4. In decimal form, it would be 3.75.

Step-by-step explanation:

Answer:

use Math away, it would help, I'm in a hurry so I cannot give u the answer at the moment.

Step-by-step explanation: