Please help Which of the following inequalities is graphed on the coordinate plane?

Answer:

The answer is "4 terms".

Step-by-step explanation:

[tex]\sum_{n=1}^{\infty} \frac{(-1)^{n+2} (0.4)^{2n+1}}{(2n+1)!} \ \ \ \ \ error \leq 0.0000001\\\\\\\sum_{n=1}^{\infty} \frac{(-1)^{n+2} (0.4)^{2n+1}}{(2n+1)!} = \frac{-1^{0+2}}{1!}(0.4) + \frac{-1^{1+2}}{3!}(0.4)^3 +\frac{-1^{2+2}}{5!}(0.4)^5+\frac{-1^{3+2}}{7!}(0.4)^7+..\\\\[/tex]

                                  [tex]=0.4 - \frac{0.4^3}{3!} + \frac{0.4^5}{5!} - \frac{0.4^7}{7!}+ \frac{0.4^9}{9!} - \frac{0.4^{11}}{11!}+............\\[/tex]

Note that, alternatively, positive and negative terms are given in the sequence. It is also alternating  

Apply alternative test series:

[tex]\sum_{n=1}^{\infty} (-1)^{n-1} b_n = b_1-b_2+b_3-b_4+b_5-......+(-1)^{n-1} b_n >0\\\\i) b_{n+1}<b_n \ \ \ \ \forall_n \\\\ii) lim_{x\longrightarrow \infity} \ b_n = 0[/tex]

use alternating test method we get:

[tex]\sum_{n=1}^{\infty} \frac{-1^{n-1}}{n^2}\\\\s =0.4 - \frac{0.4^3}{3!} + \frac{0.4^5}{5!} - \frac{0.4^7}{7!}+ \frac{0.4^9}{9!} - \frac{0.4^{11}}{11!}+..\\\\b_5= \frac{0.4^9}{9!} = 0.00000000072 < \frac{1}{10^7} =0.0000001[/tex]

that's why its value is 4 terms

The approximation 0.0000001 within the convergent value of that series the fourth term.

It is the convergent series when it is term decrease in absolute value and approaches the zero limit.

[tex]\sum_{n=1}^{\infty} \dfrac{(-1)^{n+2}(0.4)^{2n+1}}{(2n+1)!}[/tex]

When error ≤ 0.0000001

[tex]\begin{aligned} \sum_{n=1}^{\infty} \dfrac{(-1)^{n+2}(0.4)^{2n+1}}{(2n+1)!} &= \dfrac{(-1)^{0+2}}{1!}(0.4) + \dfrac{(-1)^{1+2}}{3!}(0.4)^{3} + ..............\\\\&= 0.4 - \dfrac{0.4^{3}}{3!} + \dfrac{0.4^{5}}{5!} - \dfrac{0.4^{7}}{7!} + ...............\end{aligned}[/tex]

Now by the alternative test series, we have

[tex]\Sigma _{n=1}^{\infty} (-1)^{n-1} b_n =b_1-b_2+b_3-b_4+....+(-1)^{n-1}b_n > 0\\[/tex]

Then

[tex]i) \ \ b_{n+1} < b_n \ \ \ \ \forall _n\\\\ii) \ \ lim_{x \rightarrow } b_n = 0[/tex]

Then by the alternative test method, we have

[tex]\sum_{n=1}^{\infty} \dfrac{(-1)^{n-1}}{n^{2}} \\\\s = 0.4 - \dfrac{0.4^3}{3!} + \dfrac{0.4^5}{5!} -\dfrac{0.4^7}{7!}+....\\\\b_5 = \dfrac{0.4^9}{9!} = 0.00000000072 < \dfrac{1}{10^7} = 0.0000001[/tex]

More about the alternative test series link is given below.

https://brainly.com/question/16969349

Answer:

D. 170 ft

Step-by-step explanation:

Area of painted = area of parallelogram Area of parallelogram = base × height

Height of the parallelogram = 10 ft

Base of parallelogram = 17 ft

Therefore:

Area of the logo painted = 10 ft × 17 ft = 170 ft

Answer:

The length of a rectangle is 3 times its width.

The perimeter is 92 cm.

Length --> x

Width --> 3x

Area of the rectangle --> y

so

3x·x = y

2(3x)+2x = 92 --> 6x + 2x = 92 -> 8x = 92 --> x =11.5 cm

so

y = 3(11.5)·11.5

y = 396.75 cm²

THE AREA IS 396.75 cm²

Answer:

Step-by-step explanation:

Let Width of rectangle =X

So length of rectangle =3x

Perimeter of rectangle=92

Perimeter of rectangle =2(length +width)

2(length+width)=92

2(3x+X)=92

8x=92

X=92/8

Width X=11.5cm

So length 3x=11.5×3

=34.5cm

Area of rectangle =34.5×11.5

=396.75cm^2

Answer:

59200

Step-by-step explanation:

Can you hive me 5 stars thanks : )

Answer:

x=-18/76

Step-by-step explanation:

4×4x/4x+3/4x=5/6

or,96x+18=20x

or,76x=-18

:x=-18/76 ans...

Answer:

x=180

Step-by-step explanation:

Let us have x represent the entire mask collection

We know that 117 is 65% of his collection. We want to know the total number of masks he has

The equation we set up is:

117 is 65% of x: this translates to

117=0.65x, then we solve for x by dividing 0.65 by both sides

180=x

The total number of masks Josiah has is 180.

Answer:

y-10=9x+72

y-10-72=9x

y-82=9x

y=9x+82

Answer:

$33.88

Step-by-step explanation:

12.1*2.8 is equal to $33.88

Answer: Population

Step-by-step explanation:

Answer:

Population

Step-by-step explanation:

I just took the quiz

Answer:

A.

Step-by-step explanation:

Answer:

.5 for the first blank

2 for the second blank

Answer:

200

Step-by-step explanation:

16,400-2,000= 14,400

6 years into months 6x12= 72

14,400/72= 200

Answer:

To add fractions, find the LCD (Least Common Denominator) or any common denominator of the fractions. For example, if you wanted to add 1/3+2/7, you find the LCD, which is 21, because 3x7=21, and 3 and 7 are both prime numbers. Now each fraction will have denominators of 21, so we will get 7/21+6/21. To add them together, add the numerators to get 13/21. Find the least common denominator of two fractions and then add the numerators. Hope it helps!

Step-by-step explanation:

Answer: c) $30,799.45

Step-by-step explanation:

Assuming there are 52 weeks in a year, the rate and time would be converted to;

Rate = 8%/52 = 8/52%

No. of periods = 9 years * 52 weeks = 468

The amount Mr Mantle would have is;

= 15,000 * ( 1 + 8/52%) ⁴⁶⁸

= $30,799.45276

= $30,799.45

Answer:

x = 40

Step-by-step explanation:

2x = 80° (Alternate Interior Angles)

x = 40

Answer:

The 6 oz bottle

Step-by-step explanation:

When you simplify it to see how much per ounce each costs, the 6-oz has the better price.

2.29/6 = 0.381666....

10.19/15 = 0.6793....

the second bottle cost more per ounce, so the 6 oz bottle has the better deal

*plz brainlist

Answer:

Total distance traveled = 1/3 + 1/2 = 2+3/6 = 5/6 miles

Hope this helps!

Step-by-step explanation:

Answer:

3 x y − 7 y 2 − 6 x + 20 y + 5

Step-by-step explanation:

I don't know if you mean rounding to the HUNDRED place or the HUNDREDTHS place, but I will give you both answers.

8.162 rounded to the hundreds place - 0

8.162 rounded to the HUNDREDTHS place- 8.16

Answer:

There were 54

Step-by-step explanation:

As you said 46 people were surveyed maybe there's 100 people were surveyed so this is my first answer

9514 1404 393

Answer:

  27 in

Step-by-step explanation:

The relationship between angle A, adjacent side AC, and hypotenuse AB is ...

  Cos = Adjacent/Hypotenuse

  cos(A) = AC/AB

Multiplying by AB, we get ...

  AC = AB·cos(A)

  AC = (30 in)cos(25°)

  AC ≈ 27 in

Answer:

Step-by-step explanation:

Two integers are:

The equation and solution:

And

Answer:

3.6

Step-by-step explanation:

15 divide by 100 x 24

Answer:

He kept 7/12 of the box.

Step-by-step explanation:

We add and convert both 1/6 and 1/4 because we cant add fractions with unlike denominators.

1/6 = 2/12  | 1/4 = 3/12

then add.

2/12 + 3/12 = 5/12.

we subtract this from a whole, which is 12/12.

12/12 - 5/12 = 7/12

he keeps 7/12 of the box

hope this helped!

Answer:

110

Step-by-step explanation:

calculator

the answer is one hundred and ten.....110

Answer:

A

Step-by-step explanation:

Just multiply 1166 by 0.2879

Answer:

✅ A. 335.69 dinar

⬇⬇⬇

Step-by-step explanation:

If you want the "root" of the equation...

First get y by itself on one side. You should get y = - x - 8.

Notice that this is the equation of a straight line.

Then let y = 0, and solve for x. You should get x = -8.

So the solution or "root" of the equation is at the point (-8,0)

Answer:

X=0, y=0, x=3

Put the values into the equation. You should get -4,0

-2(-4) –2(0)=8

Answer:

24 right handed students

Step-by-step explanation:

1. Out of every 5 students, 4 are right handed and 1 is left handed. We can say that 1/5 of the class is left handed.

2. Multiply 30 by 1/5 to get 6 left handed students in the class.

3. Take the 30 students in the class and subtract the 6 left handed students.

4. The remaining 24 students must be right handed.