Evaluate this exponential expression.
OA. 19
OB. 63
OC. 66
OD. 207
6 (4+2)²-32

Answers

Answer 1

Answer: 184

(I am not sure if I have misunderstood the question, but the final answer I got was 184, which wasn't any one of the choices. I was wrong in understanding, please let me know and I will modify my answer)

Step-by-step explanation:

Given expression

6 (4 + 2)² - 32

Simplify values in the parenthesis

6 (6)² - 32

Simplify exponents

6 × 36 - 32

Simplify multiplication

216 - 32

Simplify subtraction

[tex]\Large\boxed{184}[/tex]

Hope this helps!! :)

Please let me know if you have any questions


Related Questions

D₁ vide using x² - 2x² 2× +3× -5 by ×-3 using synthetic division.

Answers

Answer:

Step-by-step explanation:

I think you are trying to use synthetic division for

[tex]x^{4} -2x^{3} -2x^{2} +3x-5[/tex] divided by x-3

First  

x -3 = 0 , make it equal to 0 and add 3 to both sides

x = 3

Then we write all the coefficients and continue with

a pattern of multiply by 3 and add to the next coefficient.

See attachment.

One positive integer is 5 less than twice another. The sum of their squares is 130. Find the integers.

Answers

Answer:

7, 9

Step-by-step explanation:

Let x and y represent the two positive integers.

We can write x in terms of y. The question states "one positive integer is 5 less than twice another". Let "one positive integer" represent x.

Therefore:

[tex]x=2y-5[/tex]

We also know that the sum of the squares of the two positive integers is 130. Using this information, we can write another equation.

[tex]x^2+y^2=130[/tex]

These two equations form a system of equations.

[tex]x=2y-5[/tex]

[tex]x^2+y^2=130[/tex]

We can solve this system of equations by the substitution method. Using this method, we substitute [tex]2y-5[/tex] for [tex]x[/tex].

[tex](2y-5)^2+y^2=130[/tex]

Expand [tex](2y-5)^2[/tex] . Notice that [tex](a-b)^2=a^2-2ab+b^2[/tex] :

[tex](2y-5)^2=4y^2-20y+25[/tex]

[tex]4y^2+y^2-20y+25=130[/tex]

Subtract 25 from both sides

[tex]4y^2+y^2-20y=105[/tex]

Add like terms

[tex]5y^2-20y=105[/tex]

Divide both sides by 5

[tex]y^2-4y=21[/tex]

Subtract 21 from both sides

[tex]y^2-4y-21 = 0[/tex]

Factor the equation

[tex]y^2-7y+3y-21=0\\y(y-7)+3(y-7)=0\\(y-7)(y+3)=0\\y=7\text{ or} \ -3[/tex]

Since the question states that the two integers are positive, one of the integers is 7.

We can use this information to find the other integer.

[tex]x=2y-5\\x=2(7)-5\\x=14-5\\x=9[/tex]

[tex]CHECK:\\x^2+y^2=7^2+9^2=49+81=130 \Rightarrow Correct![/tex]

Therefore the two integers are 7 and 9.

one of the angles of a triangle is 106° and the other two angles are equal find each of the equal angles​

Answers

Answer:

37°

Step-by-step explanation:

• recall that the sum of the interior angles of a triangle

  is equal to 180°

Then

The measure of the two other angles :

= 180 - 106

= 74°

The measure of each of the equal angles :

= 74 ÷ 2

= 37°

Answer:

the 2 angles r 37

Step-by-step explanation:

the angles of triangle sums up to 180, and lets call the unknown angle x, since they're both equal, x+x=2x

so when 3 angles of triangle adds up, we get 180

106+2x=180

2x=180-106
2x=74, divide both sides by 2 to get x

x=74/2

x=37

PLEASE MARK ME BRAINLIEST OF IT HELPED :)

IM IN A HURRY PLEASE HELP ME QUESTION IS DOWN BELOW WORTH 15 POINTS each

Answers

Applying the congruent chords theorem, the value of x is: 7.

Length of segment LP is: 6 units.

What is a Chord in Geometry?

In geometry, a chord is defined as the line segment that joins two points on the circumference of a circle.

What is the Congruent Chords Theorem?

In a circle, if two chords are congruent, then they are equidistant from the center of a circle, according to the congruent chords theorem.

In the circle given, chords JK = LM = 12 units. This means both chords are congruent, therefore, they are equidistant from the center of the circle S.

According to the congruent chords theorem, NS = PS, thus:

8 = 2x - 6

8 + 6 = 2x

14 = 2x

Divide both sides by 2

14/2 = 2x/2

7 = x

x = 7

LP = 1/2(12)

LP = 6 units.

In summary, applying the congruent chords theorem, the value of x is: 7.

Length of segment LP is: 6 units.

Learn more about the congruent chords theorem on:

https://brainly.com/question/7511582

#SPJ1

A pet store has 5 puppies, including 2 poodles, 2 terriers, and 1 retriever. Rebecka and Aaron, in that order, each select one puppy at random without replacement. Find the probability that Aaron
selects a retriever, given Rebecka selects a retriever.
The probability is
(Type an integer or a simplified fraction.)

Answers

Answer:

1/4

Step-by-step explanation:

Rebecka already chose a retriever, so the puppies left for Aaron to pick are:

2 poodles

2 terriers

1 retriever

Total: 4

Number of retrievers left after Rebecka's pick: 1

p(Aaron picks retriever) = 1/4

Number #2 please, I don’t know how to solve it.

Answers

Answer:

See below

Step-by-step explanation:

Here is HOW to solve this problem:

b = pounds of blue candy      then   r =  11-b = pounds of red candy

.79b = cost of blue candy             1.29 (11-b) = cost of red candy

   these two costs sum to   11.19  

.79b    + 1.29 ( 11-b)  = 11.19        Now you can solve for 'b'  the 'r' = 11-b

Answer:

Red candy =5

Blue candy = 6

Step-by-step explanation:

Let the pounds of red candy be x and blue candy y. Then y=11-x

Also 1.29x + 0.79y=11.19

1.29x+0.79(11-x)=11.19

0.5x=11.19–8.69

0.5x=2.5

X=5

Red candy =5

Blue candy = 6

Determine which quadrilaterals have the properties given in the table.
kite
square trapezoid rectangle
Opposite sides are congruent.
Diagonals are perpendicular.
Exactly one pair of opposite angles are
congruent.
rhombus
parallelogram
Diagonals are congruent.
Diagonals bisect opposite interior angles.
Consecutive interior angles are
supplementary.

Answers

The two quadrilateral with the listed properties are kite and rhombus respectively.

Properties of a kiteIt has two diagonals intersecting  at right anglesA kite is symmetrical about its main diagonalAngles opposite to the main diagonal are equalThe kite can be viewed as a pair of congruent triangles with a common baseIts diagonals are perpendicular

Properties of a rhombusAll sides of the rhombus are equalThe opposite sides are parallelOpposite angles are equalDiagonals bisect each other at right anglesDiagonals bisect the anglesThe sum of two adjacent angles is equal to 180 degrees, that is, are supplementary

Thus, the two quadrilateral with the listed properties are kite and rhombus respectively.

Learn more about quadrilaterals here:

https://brainly.com/question/16691874

#SPJ1

Answer:

your welcome

Step-by-step explanation:

if sin 0=12/13 and 0 is in quadrant II, cos 20= and cos0=

Answers

a. The value of cos2θ = -119/169

b. The value of cosθ = -5/13

The question involves trigonometric identities

What are trigonometric identities?

Trigonometric identities show the relationship between trigonometric ratios.

How to find the value of cos2θ?

Since sinθ = 12/13 and θ is the quadrant II, it means that 90° ≤ θ ≤180° and sinθ is positive.

Using trigonometric identity

cos2θ = 1 - 2sin²θ

Substituting sinθ = 12/13  into the equation, we have

cos2θ = 1 - 2sin²θ

cos2θ = 1 - 2(12/13)²

cos2θ = 1 - 2(144/169)

cos2θ = 1 - 288/169

cos2θ = (169 - 288)/169

cos2θ = -119/169

So, the value of cos2θ = -119/169

How to find the value of cosθ?

Since sinθ = 12/13 and θ is the quadrant II, it means that 90° ≤ θ ≤180° and sinθ is positive.

Using trigonometric identity

cosθ = √(1 - sin²θ)

Substituting sinθ = 12/13  into the equation, we have

cosθ = √(1 - sin²θ)

cosθ = √[1 - (12/13)²]

cosθ = √[1 - (144/169)]

cosθ = ±√(169 - 144)/169

cosθ = ±√25/169

cosθ = ±5/13

θ is the quadrant II, it means that 90° ≤ θ ≤180° it means that cosθ is negative.

So, cosθ = -5/13

So, the value of cosθ = -5/13

Learn more about trigonometric identities here:

https://brainly.com/question/27990864

#SPJ1

Can someone please help me with this question asap!?

Answers

[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]

HJ = 23.5 in

[tex]\textsf{ \underline{\underline{Steps to solve the problem} }:}[/tex]

Take HJ = a, GH = b and GJ = c

a = b + 2

c = a + b - 17

a + b + c = 73

put the value of a from equation 1 in equation 2

c = (b + 2) + b − 17

c = 2b − 15

now, put the value of a and c in equation 3

b + 2 + b + 2b − 15 = 73

4b − 13 = 73

4b = 86

b = 21.5 in

Now, we need to find HJ (a)

a = b + 2

a = 21.5 + 2

a = 23.5 in

[tex]{ \qquad \large \sf {Conclusion} :} [/tex]

HJ = 23.5 in

What is the center and radius of the circle?

Answers

Center and radius of the circle is A (6,-8); r=9
Example shown below

Cannington, Inc., designs, manufactures, and markets personal computers and related software. The following information was taken from a recent annual report of Cannington industries: Property, Plant, and Equipment (in millions): Current Year Preceding Year Land and buildings $707,150 $410,147 Machinery, equipment, and internal-use software 671,793 530,363 Office furniture and equipment 106,073 91,930 Other fixed assets related to leases 855,652 643,507 Accumulated depreciation and amortization (898,081) (749,579) a. Compute the book value of the fixed assets for the current year and the preceding year. Current year book value $fill in the blank 1 Preceding year book value $fill in the blank 2

Answers

The book value of the fixed assets for the current year and the preceding year is: $1,442,587; $926,368.

Book value

Current year book value

Land and buildings $707,150

Machinery, equipment, and internal-use software $671,793

Office furniture and equipment $106,073

Other fixed assets related to leases $855,652

Less Accumulated depreciation and amortization ($898,081)

Book value $1,442,587

Preceding year book value

Land and buildings $410,147

Machinery, equipment, and internal-use software  $530,363

Office furniture and equipment $91,930

Other fixed assets related to leases $643,507

Less Accumulated depreciation and amortization  ($749,579)

Book value $926,368

Therefore the book value of the fixed assets for the current year and the preceding year is: $1,442,587; $926,368.

Learn more about book value here:https://brainly.com/question/23057744

#SPJ1

Which inequality is represented by the following graph?
x ≤ 4

Answers

Answer:

X is less than and equal to 4

Find the coordinates of the point on the curve y = 2x² - x - 1 at which the gradient is 7

Answers

Answer:

See below

Step-by-step explanation:

The derivative of the function is the slope

2x^2 - x -1       take derivative  ( f ' )

4x -1                 equate to 7

7 = 4x -1

x = 2        sub into the original equation to find y = 5

Complete each statement describing the transformations you observed for the graph of y = 2x + k.


When the value of k increases, the graph of the function:

When the value of k decreases, the graph of the function:

.

Answers

Using translation concepts, it is found that:

When the value of k increases, the graph of the function shifts up.When the value of k decreases, the graph of the function shifts down.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

The translation y -> y + k represents:

A shift up if k > 0.A shift down if k < 0.

Hence:

When the value of k increases, the graph of the function shifts up.When the value of k decreases, the graph of the function shifts down.

More can be learned about translation concepts at https://brainly.com/question/4521517

#SPJ1

A two digit number has 6 more ones than tens. Twice the sum of the number and its reverse is 6 more than ten times the number. Find the number.

Answers

The number with the given characteristics is 17

How to determine the numbers?

Let the tens be x and the units be y.

So, the number is 10x + y

The relationship between the digits is

y = x + 6

The relationship between the number and the reverse is

2(10x + y + 10y + x) = 6 + 10 * (10x + y)

Simplify the second equation

2(11x + 11y) = 6 + 100x + 10y

Open the brackets

22x + 22y = 6 + 100x + 10y

Substitute y = x + 6

22x + 22(x + 6) = 6 + 100x + 10(x + 6)

Expand

22x + 22x + 132 = 6 + 100x + 10x + 60

Collect like terms

22x + 22x - 100x - 10x = 6 + 60 - 132

Evaluate the like terms

-66x = -66

Divide by -66

x = 1

Substitute x = 1 in y = x + 6

y = 1 + 6

y = 7

Recall that the number is 10x + y

So, we have

Number = 10 * 1 + 7

Evaluate

Number = 17

Hence, the number is 17

Read more about numbers and digits at:

https://brainly.com/question/12992284

#SPJ1

2. What are the outliers for: 19, 2, 4, 5, 7, 3, 1, 3, 20

Answers

19 and 20 are the answers.

A DC10 airplane travels 3000 km with a tailwind in 3 hr. It travels 3000 km with a headwind in 4 hr. Find the speed of the plane and the speed of the wind.

Answers

The speed of the plane will be 875km/h and the speed of the wind will be 125km/h.

How to calculate the speed?

It should be noted that the speed is calculated as:

= Distance/Time

Based on the information, the DC10 airplane travels 3000 km with a tailwind in 3 hr. It travels 3000 km with a headwind in 4 hr.

Therefore, (v + w) = 3000/3

v + w = 1000 .... I

(v - w) = 3000/4

v - w = 750 .... ii

We'll then add both equations together. Therefore, the speed of the plane will be 875km/h and the speed of the wind will be 125km/h.

Learn more about speed on:

brainly.com/question/13740894

#SPJ1

9-Volume of Solids
Find the volume of each solid. Round to the nearest tenth,
31)
33)
11 yd
8t
5 yd
5 yd
6 yd
11 yd
10 R
10 %
8 t
32)
34)
8m
6m
5m
4m
10 m
10 m

Answers

The volume of the solids are 240 cubic yards and 125.6 cubic cm

How to determine the value of the solids?

The complete question is added as an attachment

Solid 1

The shape is a rectangular prism.

The volume of a rectangular prism is

Volume = Length * Width * Height

So, we have

Volume = 8 yd * 5 yd * 6 yd

Evaluate

Volume = 240 cubic yards

Hence, the volume of the solid is 240 cubic yards

Solid 2

The shape is a cylinder.

The volume of a rectangular prism is

Volume = πr²h

So, we have

Volume = 3.14 * 2^2 * 10

Evaluate

Volume = 125.6 cubic cm

Hence, the volume of the solid is 125.6 cubic cm

Read more about volume at:

https://brainly.com/question/1972490

#SPJ1

Which of the following shows one way to simplify 43Σn=1(3+9n)?

Answers

Based on the given summation notation, the expression that shows one way to simplify 43 Σ n=1 (3+9n) is (a) 43 Σ n=1 3 + 43 Σ n=1 9n

How to determine the summation expression?

The expression is given as:

43Σn=1(3+9n)

As a general rule, if a summation notation is represented using the following expression

Σ(a + bn)

The equivalent expression of the above summation notation is

Σa + bn

Where the variable a is a constant in the expression

This means that:

Σ(a + bn) = Σa + bn

Using the above equation as a guide, we have the following equivalent equation

43 Σ n=1 (3+9n) = 43 Σ n=1 3 + 43 Σ n=1 9n

Hence, based on the given summation notation; the expression that shows one way to simplify 43 Σ n=1 (3+9n) is (a) 43 Σ n=1 3 + 43 Σ n=1 9n

Read more about summation notation at:

https://brainly.com/question/16599038

#SPJ1

Answer:

D on 3dg I took the best

Step-by-step explanation:

on the graph, sketch f(x)=x+3 as well as g(x)=x

Answers

Answer:

below

Step-by-step explanation:

USH financial is a small bank that is examining its customers use of its website.the number of online transactions made per day during the past 9 days are as follows

Answers

The mean, median, and mode are;

median=77

Mean=73.33

Mode= 78, 67

This is further explained below.

What is median?

Generally, The middle number in a list that is arranged from smallest to greatest is referred to as the median. On the list, the value that occurs most often is known as the mode. Therefore

median=77

Generally, In mathematics, particularly statistics, the term "mean" may refer to a number of different concepts. The purpose of each mean is to summarize a certain collection of data, often for the purpose of gaining a better understanding of the overall value of a specific data set.

A dataset's mean (also known as the arithmetic mean, which is distinct from the geometric mean) is calculated by dividing the sum of all of the values in the dataset by the total number of values in the dataset. It is the measure of central tendency that is used the most often, and it is sometimes referred to as the "average."

[tex]mean=\frac{\sum x}{n}\\\\Mean=\frac{78+67+98+50+67+78+67+77+78}{9}[/tex]

Mean=73.33

Mean=73.3 in one dp

What exactly is the mode in math?

In conclusion, The mode is the number that appears the most often, or the number that stands out as having the most occurrences overall. The number 2 is the mode of the sequence 4, 2, 4, 3, 2, 2 because it appears three times, which is more than any other number in the sequence.

The mode of 78, 67, 98, 50, 67, 78, 67, 77, 78  is

Mode= 78, 67

Read more about median

https://brainly.com/question/28060453

#SPJ1

A troupe of 12 dancers is going to line up on stage. Of these dancers, 6 are wearing green and 6 are wearing blue. A dancer wearing green must be in the first position and they must alternate between colors. In how many ways can the dancers line up?

Answers

The number of ways that the dancers can line up is; 518400 ways

What is the Fundamental Counting Theorem?

The fundamental counting theorem is a theorem that states that if there are n things, each with  ways to be done, each thing independent of the other, the number of ways they can be done is:

N = n1 * n2 * n3.....*nₙ

Total = 12

Dancers on Green = 6

Dancers on blue = 6

Number of ways for those wearing green = 6!

Dancers wearing green must be in the first position and so 6 places are left for the blue dancers.

Number of ways to arrange those wearing blue = 6!

Thus;

Number of ways that the dancers can line up = 6! * 6! = 518400 ways

Read more about Fundamental Counting Theorem at; https://brainly.com/question/26814852

#SPJ1

A botanist secures a 30-year mortgage for $513,000 at an annual interest rate of 4.175% with 1.4 points. The loan origination fee is 0.65 points of the loan amount. Calculate the APR (in percent) for the loan. (Round your answer to the nearest thousandth of a percent.)

Answers

Answer:

  4.346%

Step-by-step explanation:

The points and origination fee are assumed to be capitalized, so the loan payment amount is based on the total of the original loan amount and those fees. The APR is calculated as the rate that would be charged on the original loan value to produce that payment.

Loaned amount

The loaned amount is the sum of the original loan value and the added points.

  P = $513,000×(1 +1.4% +0.65%) = $523,516.50

Payment

The monthly payment on this amount is given by the amortization formula ...

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

where r=0.04175, the annual interest rate, t=30, the period in years

  A = $523,516.50(0.04175/12)/(1 -(1 +0.04175/12)^-360)) ≈ $2552.45

APR

There is no formula for calculating the APR. It must be developed iteratively or graphically. The attached calculator images show a couple of different ways the value can be found.

The payment of $2552.45 on a loan value of $513,000 represents an APR of 4.346%.

The graph shows a point of equilibrium. A graph titled Daily Market for Graphic Tees at the Clothing Shop has Quantity supplied on the x-axis, from 0 to 30 in increments of 5, and price in dollars on the y-axis, from 0 to 30 in increments of 5. A line that represents supply has a positive slope and a line that represents demand has a negative slope. The lines intersect at (15, 20). How many goods must be supplied to achieve equilibrium? 15 20 25 30

Answers

The price at which equilibrium is achieved is $20.

How to illustrate the equilibrium?

The equilibrium point is the point where the lines of the demand and supply functions meet.

From the question, we understand that price is plotted on the vertical axis (i.e. the y-axis).

Also from the question, the lines intersect at point (15, 20).

The y-coordinate of the intersection point is 20 in this scenario.

Hence, the price at which equilibrium is achieved is $20.

Learn more about equilibrium on:

brainly.com/question/110832

#SPJ1

Answer:

b

Step-by-step explanation:

answer this please tysm

Answers

Answer:

scalene

Step-by-step explanation:

hidhihihihihihi

Graph the polar equation r=1-3 sin 0

Answers

No graph for the polar equation because here sin 0 is 0.

According to the statement

we have given that a polar equation and we have to represent in the graph.

So, For this purpose, we know that the

The expression of a point as an ordered pair. is known as polar notation, the equation of a curve expressed in polar coordinates is known as a polar equation.

The given polar equation is

r = 1-3 sin 0

here the value of r is 0.

so, No graph is possible for the given statement

because here the value of r is 0 and for zero value there is a no graph possible.

So, No graph for the polar equation because here sin 0 is 0.

Learn more about Polar equations here

https://brainly.com/question/9363127

#SPJ1

Scenario 2 You are at a restaurant with three friends (party of 4) and need to estimate the amount of tip for your portion of the bill without using a calculator. Assume a 20% tip rate. For full credit, you will need the cost of your meal, an explanation of how you would calculate your 20% tip, and the total amount.

Answers

The best approach to calculating the stipulated 20% tip by means of fractions is to note that the tip is one-fifth of the total amount charged on the bill.

What is the equivalent of the 20% tip as indicated in the task content?

The percentage represented as; 20% can be expressed as a fraction.

This follows from the fact that the percentage, % symbol translates to divided by 100.

Consequently, we must note that the 20% translates to; 20/100 = 1/5.

Hence, the 20% tip is one-fifth of the total amount.

Read more on percentages;

https://brainly.com/question/16865197

#SPJ1

which equation shows that the Pythagorean identity is true for 0 = 180 degrees? select the equation that is in the form sin^2 0+cos^2 0=1
A. 0^2 + (-1)^2 = 1
B. 1^2 + 0^2 = 1
C. 0^2 + 1^2 = 1
D. (-1)^2 + 0^2 = 1

Answers

The equation in the form of the given expression is (0)² + (1)² = 1

Trigonometry identity

According to some of the trigonometry identity

sin 0 = 0

cos 0 1

Given the expression below

sin^2 0+cos^2 0=1

This can also be expressed as:

(sin0)² + (cos0)² = 1

Substitute

(0)² + (1)² = 1

Hence the equation in the form of the given expression is (0)² + (1)² = 1

Learn more on trig identity here: https://brainly.com/question/20094605

#SPJ1

MY NOTES
lim
n18
ASK YOUR TEACHER
Use the Limit Comparison Test to determine the convergence or divergence of the series.
00
n=1
n3
converges
O diverges
n+ 3
n+ 3
n3-5n+8
- 5n+ 8
Need Help?
-
=L>0
Read It
9,433
PRACTICE ANOTHER
Watch It
AUG
3
tv♫♬
(a
A

Answers

Answers:

Part 1)  [tex]\displaystyle \frac{1}{n^2}[/tex] or 1/(n^2) goes in the box.

Part 2)  The series converges

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

Work Shown:

[tex]\displaystyle L = \lim_{n\to \infty} \frac{a_n}{b_n}\\\\\\\displaystyle L = \lim_{n\to \infty} \frac{\frac{n+3}{n^3-5n+8}}{\frac{1}{n^2}}\\\\\\\displaystyle L = \lim_{n\to \infty} \frac{n+3}{n^3-5n+8}\times\frac{n^2}{1}\\\\\\\displaystyle L = \lim_{n\to \infty} \frac{n^3+3n^2}{n^3-5n+8}\\\\\\[/tex]

[tex]\displaystyle L = \lim_{n\to \infty} \frac{\frac{n^3}{n^3}+\frac{3n^2}{n^3}}{\frac{n^3}{n^3}-\frac{5n}{n^3}+\frac{8}{n^3}}\\\\\\\displaystyle L = \lim_{n\to \infty} \frac{1+\frac{3}{n}}{1-\frac{5}{n^2}+\frac{8}{n^3}}\\\\\\\displaystyle L = \frac{1+0}{1-0+0}\\\\\\\displaystyle L = 1\\\\\\[/tex]

Because L is finite and positive, i.e. [tex]0 < L < \infty[/tex], this means that the original series given and the series  

[tex]\displaystyle \sum_{n=1}^{\infty} \frac{1}{n^2}[/tex]  

either converge together or diverge together due to the Limit Comparison Test.

But the simpler series is known to converge (p-series test).

Therefore, the original series converges as well.

The two series likely don't converge to the same value, but they both converge nonetheless.

help me solve this asap

Answers

Answer:

a) A = 3, B = 8.

b) C = 2, D = 25

Step-by-step explanation:

See the image below.

Other Questions
Three hens lay 3 eggs any 3 days. in how many days will 3n hens lay at this rate 9nk eggs Question 1 of 10Which expression is the simplest form of - (3x + x) +2 (x - 4x)?OA.-2-32OB.-2-92O C. 5x-7x2OD. 52-82SUBMIT 8- A bottle of water weighs 25 pounds. If the bottle weighs 5 pounds, how many gal does it contain ? Drag the tiles to the correct boxes to complete the reasoning of the proof. Not all tiles will be used.May this help other people in the near future!!!!! Adaptation to terrestrial life required major evolutionary changes. The change from gill breathing to lung breathing was accompanied by important changes in the ____________________________. manufacture of blood cells association of blood and interstitial fluid cardiovascular system reproductive system What is the image point of (-1, -8) afterthe transformation ry=-x T4,-5? Pls answer question 8 Find the area of rhombus JKLM given the coordinates of the vertices. Round to the nearest tenth if necessary.J(-2, -4), K(2, 2), L(6, -4), M(2, -10) In a helminth life cycle, which host harbors the adult, sexually active stage of the pathogen? What will happen to the urine volume if adh is not added to the collecting duct?. An individual who previously worked as a salaried corporate attorney loses his or her job. Subsequently, the individual now works as an hourly wage employee at a retail store. This individual has experienced which type of social mobility?. If you drop an object, it will accelerate downward at a rate of 9.8 meters per second per second. if you instead throw it downwards, its acceleration (in the absence of air resistance) will be? The baroque era was born in __________, at least in part as a reaction to the spread of protestantism resulting from the how do i use the sports principles in an esay 114. The price of a sofa is Sx. A man buys the sofa on hire purchase according to the following terms:a downpayment of 25 % and the remaining to be paid in monthly instalments over 30 months at asimple interest rate of 12 % per annum. Given that his monthly instalment is $52, find the value of x. A random sample of 80 tires showed that the mean mileage per tire was 41,400mi, with a standard deviation of 4700mi How many grams of calcium phosphate are theoretically produced if we start with 3. 40 moles of calcium nitrate and 2. 40 moles of lithium phosphate? To ensure an ongoing water source, communities construct _____, which in turn create _____ In general, all croplands tend to reduce the diversity and number of pollinator species. In which areas do croplands lead to the greatest % decline in pollinator species?1. Near urban areas2. Near pasture3. In tropical areas4. In temperate areas5. In mountainous areas Among the company was a lawyer, a young man of about twenty-five. On being asked his opinion, he said:Capital punishment and life-imprisonment are equally immoral; but if I were offered the choice between them, I would certainly choose the second. Its better to live somehow than not to live at all.There ensued a lively discussion. The banker who was then younger and more nervous suddenly lost his temper, banged his fist on the table, and turning to the young lawyer, cried out:Its a lie. I bet you two millions you wouldnt stick in a cell even for five years.Which type of conflict occurs in the excerpt above?rowdyinternalexternalironic