Mathematics College

How do you do this question?

How Do You Do This Question?

Answers

Answer 1

Answer:

C, A, D, B

Step-by-step explanation:

(a) We need to compare the sum of this series to 3/4 and 31/36.  So we just need to find the sum within 1/36.

1 / (n + 1 + 1)² ≤ 1/36

(n + 2)² ≥ 36

n + 2 ≥ 6

n ≥ 4

So we just need to find the partial sum of the terms from n=0 to n=4.

1 − 1/4 + 1/9 − 1/16 + 1/25 ≈ 0.839

We can use this to approximate the actual sum within 1/64.

(b) 1 − 1/7 + 1/49 − 1/343 + ...

We can rearrange this as the difference between two geometric series:

(1 + 1/49 + 1/2401 + ...) − (1/7 + 1/343 + 1/16807)

∑₀°° (1/49)ⁿ − ∑₀°° 1/7 (1/49)ⁿ

1 / (1 − 1/49) − (1/7) / (1 − 1/49)

(6/7) / (48/49)

7/8

So from smallest to largest, the answer is C, A, D, B.

Related Questions

Express the percent as a decimal. { 98% }

Answers

Answer:

98.

Step-by-step explanation:

Answer:

0.98 would be the 98% as a decimal

What is this expression equivalent to? Will Give Brainliest! Image is below.

Answers

Answer:

the correct answer is 4

5
10
Joe borrowed $7,000 from the bank at a rate of 7% simple interest per year. How much interest did he pay
in 3 years?
In 3 years, Joe pays $
in interest.

Answers

Answer:

f h f

Step-by-step explanation:

jikdmj n

Hi! You would firstly find 7% of $7000
7%=7000/100x7=490
$490 per year.

In 3 years: 490x3=1470

Total=$7000+$1470=$8470

I hope this helped!

PLSSSSSS 15 POINTS

create a discount booklet using
actual advertisements available right
now. Use newspaper or flyers. Must
have actual ads for the work. You
must show your calculations for each
ad.

Answers

Actually it's 8
It's supposed to represent half of what the people who answer are getting but in total you ow 15 or 16 so it takes that amount

Answer:

You cant make this..

Step-by-step explanation:

Use long division to find the quotient below.
(16x3 + 40x2 + 72) - (2x+6)
A. 8x2 + 3x + 12
O B. 8x2 - 4x + 12
C. 8x2 + 5x + 12
D. 8x2 - 6x + 12

Answers

Long polynomial division ~
Answer-
B. 8x2-4x+12

QUESTION:
An airplane flies with a constant speed of 660 miles per hour. How long will it
take to travel a distance of 2475 miles?

Answers

Answer:

5643

Step-by-step explanation:

you add them together then you divide  

help asap!! answer ​

Answers

Yeah, I think the answer you put (A) is correct

3x+15=24 what is the x equal too

Answers

Answer:

x is equal to -1/3

hope this helps

Answer: I'm pretty sure x = 3

Step-by-step explanation: 3 times 3 = 9. 9 + 15 = 24. And when I solve for x it equals 3.

linear equations to Standard Form y=10x-4

Answers

Answer:

The standard form of the linear equation is 10x - y = 4

Step-by-step explanation:

The standard form for linear equations in two variables is

Ax + By = C, where A, B, and C are integers

∵ The linear equation is y = 10x - 4

→ Let us move x from the right side to the left side by subtraction

   10x from both sides

∴ y - 10x = 10x - 10x - 4

∴ y - 10x = -4

→ Multiply all terms in the two sides by -1

∴ -y + 10x = 4

→ Start the equation by x

∴ 10x - y = 4

∴ The standard form of the linear equation is 10x - y = 4

the school library had a used book sale. paperbacks were $2 each and hardcover books were $3 each. there were 54 paperbacks and 163 hardcover books sold.

Please help me, I have no idea how to do this we need to use BEDMAS to solve this. Can anyone help?

Answers

Answer:

Total money made is $597, $489 from hardbacks and $108 from paperbacks.

Step-by-step explanation:

$3 x 163= $489

$2 x 54= $108

total $= 3(163)+2(54)

total $= 489 + 108

total $ = 597

find the domain of 5x-2

Answers

(negative infinity, positive infinity)

5x + 2 = 3x + 4(2x - 1) solve the following equation for x.

Answers

x=1

combine like terms and simplify

Answer:

-2

Step-by-step explanation:

just had to answer it :)

Wayne created a dried fruit mix to use on his cereal this week. He
used 7 spoonfuls of raisins for every 3 spoonfuls of dried cherries.
If Wayne used 14 spoonfuls of raisins, how many spoonfuls of dried
cherries did he use?

Answers

Answer:

6

Step-by-step explanation:

i had this same problem :)

There are two squares.
The larger square has an area of 1,089 square feet and the smaller square has an area of 121 square inches.
What is the scale factor between the two squares?
(A) 3
B
6
12
D 36

Answers

Answer:

It is 3

Step-by-step explanation:

Answer:

It is 3

Step-by-step explanation:

You can afford a $1350 per month mortgage payment. You’ve found a 30 year loan at 7% interest.

A) How big of a loan can you afford?

B) How much total money will you pay the loan company?

C) How much of that money is interest?

Answers

A) 45 because 1350 divide by 30 equals 45. So 45 dollars u can afford

B) 1350 because 45 x 30 = 1350


C) 7% because it’s 7% to begin with

A) The loan amount you can afford is, $177,690.52

B) There will be paid a total of $486,000 to the loan company over the course of 30 years.

C) $308,309.48 of the total money you will pay the loan company is interest.

Given that,

You can afford a $1350 per month mortgage payment.

And, found a 30-year loan at 7% interest.

A) Using the formula for calculating the monthly mortgage payment, we can rearrange it to solve for the loan amount:

Loan Amount = [tex]\frac{Monthly Payment }{(Monthly Payment * (1 + (\frac{1}{1+Monthly Payment )^{Number of payments} } }[/tex]

Plugging in the given values:

Monthly Payment = $1350

Monthly Interest = 7% / 12

= 0.00583

Number of Payments = 30 years × 12 months

= 360

Hence,

Loan Amount = [tex]\frac{1350}{(0.00583 (1 + \frac{1}{1+ 0.00583)^{360} } )}[/tex]

By evaluating this expression,

the loan amount you can afford is,

$177,690.52

B) The total money you will pay the loan company,

Total Money Paid = Monthly Payment × Number of Payments

Total Money Paid = $1350 × 360

= $486,000

Therefore, you will pay a total of $486,000 to the loan company over the course of 30 years.

C) the amount of money which is interest,

Interest Paid = Total Money Paid - Loan Amount

Interest Paid = $486,000 - $177,690.52

= $308,309.48

Hence, $308,309.48 of the total money you will pay the loan company is interest.

To learn more about the Interest visit:

https://brainly.com/question/7639734

#SPJ4

The shapes below are similar. What does x have to be?

Answers

I think it is 3.5
if 8 is divided by 4, you get two since they are the same shape, 14 should be divided by 4 as well which is 3.5

gcmf of 25x²y³+55xy³​

Answers

Answer: the answer is 5xy^3

Please Help Me With This Math ;(

Answers

On the interval (8,24), the rate of change is 10.625 bacteria per minute.

9: 5.96 dollars per year on the interval (0,9)
10: 6.43 dollars per year on the interval (6,12)

How can you do a story from this equation:3+(4x12)

Answers

Answer:

A car dealership has a special on rentals. They charge a one time fee of $3 and then $4 per day for the rental. If John gets a rental from this dealership, how much will his total be after 12 days?

Step-by-step explanation:

Hope this helps!

Laura red 312 page book in 13 hours if she read the same number of pages each hour how many pages did she read i

Answers

Answer:

24 pg per hour

Step-by-step explanation:

Divide 312 by 13, and the result will be 24. Hope it helps!

Answer:

24

Step-by-step explanation:

Simplify the algebraic expression by combining like (or similar) terms.
5x + 5y - 2x + 5y

Answers

Answer:

3x + 10y

Step-by-step explanation:

(5x - 2x) + (5y + 5y)

= 3x + 10y

Answer:

10y + 3x

Step-by-step explanation:

honestly what is better being happy or making other people happy?​

Answers

Answer:

being happy j

Step-by-step explanation:

step by step explaination

Answer:

well for me it is both because i am only happy when everyone else around me is also happy

Step-by-step explanation:

HELP PLEASE WILL MARK BRAINLIEST

Answers

Answer:

15

Step-by-step explanation:

15 is your answer Hope this helped

13 - (-4) it won’t answer my question

Answers

Hi! I believe your answer is 17 because when two negative signs are next to each other, they make a positive sign, except if the expression has absolute value. Ex: 13- |-4|. So, 13+4=17. I hope this helps you! Good luck and have a great day. ❤️

Terrell sells clay pots. He sells 2 clay pots for $6, 3 clay pots for $9, and 4 clay pots for $12. What is the unit rate of dollars per clay pot?

A
1

B
2

C
3

D
4

Answers

Answer is C, which is 3
The answer to this is 3 which choice c because all i did was ask myself what times the given numbers get me to 6,9, and twelve

How do you do this question?

Answers

Answers:

[tex]\displaystyle \lim_{n \to \infty} \frac{a_n}{b_n} = 6[/tex]

Based on the limit comparison test, the series is convergent

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

Explanation:

As n gets really large, the terms [tex]3^n[/tex] and [tex]3^n-2[/tex] are effectively the same. Taking the limit to infinity of the ratio leads to 1.

In other words,

[tex]\displaystyle \lim_{n \to \infty} \frac{3^n}{3^n-2} = \lim_{n \to \infty} \frac{3^n}{3^n} = 1[/tex]

That -2 doesn't really play a role when n gets very large.

This result is then multiplied by the 6 in the [tex]a_n[/tex] sequence, getting 6 as the final limit we want.

So,

[tex]L = \displaystyle \lim_{n \to \infty} \left(a_n \div b_n\right)\\\\\\L = \displaystyle \lim_{n \to \infty} \left(\frac{6}{3^n-2} \div \frac{1}{3^n}\right)\\\\\\L = \displaystyle \lim_{n \to \infty} \left(\frac{6}{3^n-2} \times \frac{3^n}{1}\right)\\\\\\L = \displaystyle \lim_{n \to \infty} \left(\frac{6*3^n}{3^n-2}\right)\\\\\\[/tex]

[tex]L = \displaystyle 6*\lim_{n \to \infty} \left(\frac{3^n}{3^n-2}\right)\\\\\\L = \displaystyle 6*\lim_{n \to \infty} \left(\frac{3^n}{3^n}\right)\\\\\\L = \displaystyle 6*\lim_{n \to \infty} (1)\\\\\\L = \displaystyle 6*1\\\\\\L = \displaystyle 6\\\\\\[/tex]

Since the limiting value is positive and not infinity, this means that both series [tex]\sum a_n[/tex] and [tex]\sum b_n[/tex] converge or they both diverge.

----------------------------

If we plug n = 2 into the [tex]b_n[/tex] sequence, we get

[tex]b_n = \frac{1}{3^n}\\\\b_2 = \frac{1}{3^2}\\\\b_2 = \frac{1}{9}[/tex]

The first term is a = 1/9

If we plugged n = 3, we would get [tex]b_3 = \frac{1}{27}[/tex]

This shows that the common ratio is r = 1/3

Because -1 < r < 1 is true, we know that the infinite geometric series converges. Therefore, [tex]\sum b_n[/tex] converges. We don't need to find the converging value.

Going back to the limit comparison test, we stated that both [tex]\sum a_n[/tex] and [tex]\sum b_n[/tex] either diverge together or converge together.

We've shown that the b series converges, so the 'a' series must converge as well.

Melanie needs 5,000 chocolates for an event. So far, she has bought 2cases of 1,125 chocolates each. How many more does she need?

Answers

5,000 X 2 : 1,125 = 8.88...

Answer:

2,750

Step-by-step explanation:

2x1,125=2,250, 5,000-2,250=2,750

Alabama has 140 state legislators representing its population of 4 million people. Pennsylvania has 12 million people. How many legislators should it have for representing that is proportional to Alabama?

A) Pennsylvania should have 1,680 legislators

B) Pennsylvania should have 560 legislators

C) Pennsylvania should have 140 legislators

D) Pennsylvania should have 420 legislators


Someone Please Help Me ( It’s Not A )

Answers

Answer:

420

140 x 4 = 420

Step-by-step explanation:


Express the percent as a decimal.
154%

Answers

Answer:

1.54 as a decimal

154 divided by 100 to get 1.54

Step-by-step explanation:

Samuel needs to mail a package to his friend in New York. He places an address label with length represented by the function L(w) = 3x³ + 2x² - 4x + 5 and width represented by the function w(x) = x + 2. Which of the following statements is true about the area of the label? Select all that apply.
1. A(x) = L(x) + w(x)


2. The resulting polynomial for a(x) will be a 4th degree polynomial


3. L(x)=A(x) divided by w(x)


4. The resulting polynomial for A(x) will have a leading coefficient of 6


5. A(x) = L(x) * w(x)

I know what the answers are its B,C,D but i need work showing how I got to that conclusion

Answers

Answer:b and e

Step-by-step explanation:I took the test

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