Express each sum in sigma-notation

1 + 1/4 + 1/9 + 1/16 + ... + 1/400

Answers

Answer 1

9514 1404 393

Answer:

  [tex]\displaystyle\sum\limits_{n=1}^{20}{\dfrac{1}{n^2}}[/tex]

Step-by-step explanation:

We notice that the denominator of each term is the square of the term number, so the last term must be the 20th. The sum is then ...

  [tex]\displaystyle\sum\limits_{n=1}^{20}{\dfrac{1}{n^2}}[/tex]


Related Questions

3
. (-3, 5); y = *-4
Write an equation passing through the point and the perpendicular to the given line

Answers

Answer:

the line perpendicular: x=-3

Step-by-step explanation:

Write an expression having only two terms that is equivalent to 2x – 3. Explain how you wrote the expression and how you can check that it is equivalent

Answers

Answer:

The expression –3 + 2x is equivalent to 2x – 3. I know it is equivalent because for every value of x that is substituted in, the two expressions simplify to the same value. I took the expression and used the commutative property to not change the value.

Answer:

The expression –3 + 2x is equivalent to 2x – 3. I know it is equivalent because for every value of x that is substituted in, the two expressions simplify to the same value. I took the expression and used the commutative property to not change the value.

ASAP
During his workouts last week, Allen jogged the same amount of time each day for 6 days. Use the following information to determine the number of minutes Allen jogged each day:

During each workout, he jogged and rode his bike.
He rode his bike for 45 minutes each day.
He worked out for a total of 360 minutes last week.
What is the number of minutes that Allen jogged each day last week? Enter your answer in the box below.

Answers

Answer:

15 mins

Step-by-step explanation:

1. figure out how many minutes he rode his bike for (45x6=270)

2. subtract that from the total (360-270=90)

3. divide the total amount he jogged for by the days he jogged for (90/6 = 15)

4. the answer is Allen jogged 15 mins a day for 6 days

Pls Mark Brainliest

Please help my cousin do this. She isn't that bright in math.

Answers

Answer:

$4.8 for sugar and $25 for butter.

Step-by-step explanation:

Please help. This is a solve for x problem!

Answers

Answer:

3/10 = x or 0.3 = x

Step-by-step explanation:

2.1 /  x + 1 4/5 = 3 / 10x

1. first cross multiply and solve it normally:

3 (x + 1 4/5) = (2.1) 10x

3x + 5 2/5 = 21x

-3x               -3x

5 2/5 = 18x

3/10 = x or 0.3 = x

these questions are kind annoying to solve because of the fractions, so if you can, use a calculator to solve them! its much easier!

hope this helps!

Answer:

x = 3/10 = 0.3

Step-by-step explanation:

{(2.1)/(x+1 4/5)} = 3/10x

x + 1 4/5 = x + 5/5 + 4/5 = x + 9/5

then:

(2.1)/(x+9/5) = 3/10x

10x*2.1 = 3(x+9/5)

21x = 3x+ 27/5

21x - 3x = 27/5

18x = 27/5

90x/5 = 27/5

90x = 27

x = 27/90

x = 3/10 = 0.3

12*PLEASEE ANSWER THIS FAST IT'S VERY URGENT IS IT LEFT OR RIGHT WHICH IS THE CORRECT ANSWER!!!

Answers

Answer:

Right

Step-by-step explanation:

20 boxes minus 9 boxes

what weight of flowers will each person get if 3 people share 1/3 lb of flower equally??

Answers

Answer:

Personally, I think 1/9 lb.

<Plis choose me as brainliest!>

Goods on an invoice have been calculated as £1,495. Total discount has been calculated as £149 and VAT is £269.20. What is the total amount of the invoice?​

Answers

Answer:

£1,616.2

Step-by-step explanation:

1,496 - 149 = 1347

1347 + 269.20 = 1616.2

help me plz i have to get an A

Answers

The answer is c. Hope I helped

Of the 60 people at the beach, 7/12 are wearing sunglasses, How many 7
eople are wearing sunglasses? *

Answers

Answer:

the answer is 35

Step-by-step explanation:

Answer:

35 people are wearing sunglasses.

5 sets of 7 people are wearing sunglasses.

Step-by-step explanation:

60 divided by 12

= 5

5 x 7

= 35

35 people

35 divided by 7

= 5 sets of 7 people


Suppose you are going to graph the data in the table below. What data should be represented on each axis, and what would be the
appropriate increments?
Reporting periods Sales
d out of 2
Flag
an
Jan-Mar., 2010
$100,000
Apr.-Jun., 2010
$55,000
Jul.-Sep., 2010
$45,000
Oct-Dec., 2010
$110,000
Jan. --Mar., 2011
$330,000
Apr.-Jun., 2011
$800,000
Jul.-Sep., 2011
$242,000
Oct-Dec., 2011
$150,000

Answers

Answer:

the months would be the x axis and the numbers would be the y axis and the increments could start at 45k and have to go up to 800k don't forget the years with the months

humph im sad ask me why

Answers

Answer:

u ok? hang in there

Step-by-step explanation:

Its okay to feel sad, We all have those moments where we just want to find ourselves near the warm fireplace and find our peace and calming. Don't worry we are here for you!! ✨

1.3.PS-17

The area of a square poster is 30 in.2. Find the length of

of an inch.

in.

The length of one side of the poster is

(Round to the nearest tenth as needed.)

Answers

Answer:

5.48 inches

Step-by-step explanation:

Given that the poster is in the shape of a square.

Area of the square poster = 30 [tex]in^2[/tex]

To find:

The length of side of the poster = ?

Solution:

First of all, let us have a look at the formula for area of a square.

Let the side of square = [tex]x[/tex] inches

Formula:

[tex]Area =Side \times Side[/tex]

Putting the value of the side:

[tex]Area = x\times x\\[/tex]

Putting the value of Area as given in the question statement:

[tex]30 = x^2\\\Rightarrow x =\sqrt{30}\\\Rightarrow \bold{x \approx 5.48\ inches}[/tex]

How do you divide 10.5 divided by2.5?

Answers

Answer:

4.2

Step-by-step explanation:

10.5/2.5= 4.2

Move the decimal in 10.5 over one to the right to get 105.0

Answer:

Divide how you normally would, without the decimals, then put the decimal back in its orginal position; this would result in 4.2.

Step-by-step explanation:

Which inequality is represented by this graph? ​

Answers

Answer:

[tex] x \ge -53 [/tex]

Step-by-step explanation:

A solid dot means [tex] \le [/tex] or [tex] \ge [/tex].

The solid dot is on -53.

The shading is to the right, so it is greater than or equal to.

Answer: [tex] x \ge -53 [/tex]

Answer:  the last one

Step-by-step explanation:  well it is clearly an grater than solusand and it is colored in not doted so its grater than or equal to

Geometry: Express the area of each figure as a monomial. I need help with this, anyone? ​

Answers

Answer:

answer 28ab³ I think maybe

The area of the right-angled triangle is represented as the monomial [tex]12a^3b^4[/tex].

Here,

The formula to calculate the area of a right-angled triangle is:

Area = (1/2) * base * height

In this case, the right-angled triangle has a height of [tex]6ab^3[/tex] and a base of [tex]4a^2b[/tex].

Now, let's substitute these values into the formula:

Area = [tex](1/2) * 4a^2b * 6ab^3[/tex]

Now, simplify the expression:

Area = [tex]2 * a^2b * 6ab^3[/tex]

To find the monomial representation, multiply the coefficients and add the exponents of like terms:

Area = [tex]12a^{(2+1)}b^{(1+3)[/tex]

Finally, simplify the exponents:

Area = [tex]12a^3b^4[/tex]

So, the area of the right-angled triangle is represented as the monomial [tex]12a^3b^4[/tex].

To learn more on triangle area click:

brainly.com/question/19305981

#SPJ4

Which is the same as dividing a number by 10?
A, Move the decimal one place to the left.
B, Move the decimal one place to the right.
C, Move the decimal two places to the left.
D, Move the decimal two places to the right.

Answers

Answer:

A is the answer

Step-by-step explanation:

Anytime a number is being divided by 10 it moves to the left creating a decimal.Example : 5÷10 = 0.5 , 500÷10 = 50

Anytime a number is being multiplied by 10 the number increases with a 0. Example : 5 × 10 =50

I hope this helped

Answer:

A

Step-by-step explanation:

When it comes to division, we usually move to the left, but multiplication is to the right. Then it is division by 10, which has only one zero, so we move once to the left.

This week the art museum giveaway thousand 200 tickets to the Greco’s exhibit which was 150% as many tickets as a key figure out how many tickets Elysium give away his work is your

Answers

Answer:

about 300

Step-by-step explanation:

Answer:

the answer is B

Step-by-step explanation:

For the line that passes through the points (0, 2) and (-6, 0), the x-intercept is and the y-intercept is

Answers

Answer:

The x-intercept is (-6, 0) and the y-intercept is (0, 2)

Step-by-step explanation:

We are already given points where x = 0 and y = 0

The x-intercept is when y = 0

The y-intercept is when x = 0

So the x-intercept is (-6, 0)

and the y-intercept is (0, 2)

Whats the quotient of 15.86 divided by 0.65?

Answers

Answer:

24.4

Step-by-step explanation:

15.86 /0.65 = 24.4

PLSSSS HELP ASAP I AM TIMED. A community garden contains five types of plants. Two of the types are flowers: roses and daisies.The other three types are vegetable plants: cucumbers, bell peppers, and green beans.

Plants in the Community Garden
Plant
Number
Roses
2
Daisies
4
Cucumbers
6
Bell Peppers
5
Green Beans
7

Which statetement is true?
Green bean plants are One-third of the total plants.
The ratio of cucumber plants to flowers is 1:1.
Bell pepper plants are One-third of the vegetable plants.
The ratio of daisy plants to rose plants is 1:2.

Answers

Answer:

B

Step-by-step explanation:

I did the test (; on egunity

It is accurate to say that there are 2:1 daisies to rose plants. Because the Daisy plant and the Rose have the numbers 2 and 4, respectively

What is the ratio?

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

It is given that, A community garden contains five types of plants. Two types are flowers: roses and daisies. The other three types are vegetable plants: cucumbers, bell peppers, and green beans.

Since the number of the Daisly plant and the rose is 2 and 4 respectively, its ratio is,

=Daisy plant: rose

=2:4

=1:2

Thus, it is accurate to say that there are 2:1 daisies to rose plants. Because the Daisy plant and the Rose have the numbers 2 and 4, respectively

Learn more about the ratio here:

brainly.com/question/13419413

#SPJ6

Which expression is equal to q = 2 × 79?

Answers

Answer:

q= 158

Step-by-step explanation:

PLEASE HELP!!

Use the expression 9i+2(7+3i) to answer this question!
Which property or properties should you use to simplify this expression?

Apply those properties to each term

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Considering the expression

[tex]9i+2\left(7+3i\right)[/tex]

Applying the distributive law

        [tex]a\left(b+c\right)=ab+ac[/tex]

so the expression becomes

[tex]=9i+2\cdot \:\:\:7+2\cdot \:\:\:3i[/tex]

Group like terms

[tex]=9i+14+6i[/tex]

Add similar elements: 9i+6i=15i

[tex]=15i+14[/tex]

convert to vertex form
f(x)=-x^2+6x-10

Answers

Answer:

(3,1)

Step-by-step explanation:

Answer:

the answer is y = (x+3)^2-19

Andy has 6 2/3 cups of juice. How many 2/3 cup servings can he pour?

Answers

Answer:

10

Step-by-step explanation:

10 * 2/3 = 20/3

20/3 = 6 2/3

Answer:

He can pour 10 2/3 cup servings of juice.

Step-by-step explanation:

PLEASE MARK BRAINLIEST

An electronics store sells DVD players and cordless telephone. The store makes a $75 profit on the sale of each DVD player (d) and a $30 profit on the sale of each cordless telephone (c). The store wants to make a profit of a least $255.00 from its sales of DVD players and cordless phones. Write an inequality to model this situation.

Find an example to show how this situation could happen and one example showing how it could NOT happen. Make sure to justify your answer.

Answers

Inequality

75d + 30c ≥ 255

Examples

(1) If someone bought five DVD players and ten cordless telephones, the equation ((75)(5)+(30)(10)≥255) would be true.

(2) If the electronic store had a parcticularly bad day and they sold two DVD players and one cordless telephone, the equation ((75)(2)+(30)(1)≥255) would be false.

A figure has vertices at K(5, 5), L(5, 3) , and M(1, 1) . After a rotation 90°CCW around point (0, 1) , what are the coordinates of K

Answers

Answer:

(-5,5)

Step-by-step explanation:

Evaluate the integral using the indicated trigonometric substitution. sqrt(x2 − 81)/x dx, x = 9 sec()

Answers

C=C' - 81/2 In 9

hope it helps:))

Suppose widgit weights produced at Acme Widgit Works have weights that are normally distributed with mean 17.46 grams and variance 375.67 grams. What is the probability that a randomly chosen widgit weighs more then 19 grams?

Answers

Answer:

The probability that a randomly chosen widget weighs more then 19 grams is 0.468.

Step-by-step explanation:

X = Widget weights produced at Acme Widget Works

It is provided that X is normally distributed with mean 17.46 grams and variance 375.67 grams.

Compute the probability that a randomly chosen widget weighs more then 19 grams as follows:

[tex]P(X>19)=P(\frac{X-\mu}{\sqrt{\sigma^{2}}}>\frac{19-17.46}{\sqrt{375.67}})[/tex]

                  [tex]=P(Z>0.08)\\\\=1-P(Z<0.08)\\\\=1-0.53188\\\\=0.46812\\\\\approx 0.468[/tex]

Thus, the probability that a randomly chosen widget weighs more then 19 grams is 0.468.

Help and thanks please

Answers

Answer:

D i think

Step-by-step explanation:

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