Which number sentence is true?
A. 82 < |-82|
B. |-82| < |-83|
C. |-83| < |83|
D. |82| > |-83|

Answer:

1) Diverges. 2) Converges. 3) Converges. 4) Converges. 5) Diverges. 6) Diverges. 7) Converges. 8) Converges to 2.5. 9) Diverges

Step-by-step explanation:

In order to find the convergence or divergence of a geometric series, we have to focus on the absolute value of its radius

The theorem states that if [tex]|r|<1[/tex] then the series converges to [tex]\frac{a_{1} }{1-r }[/tex]

1) The radius is r = 4 which is greater than one so it Diverges.

2) The radius is [tex]r=\frac{-3}{4}[/tex] and [tex]|r|=\frac{3}{4}[/tex] which is less than 1 so it Converges.

3) The radius is 0.5 which is less than 1 so it Converges.

4) To figure out unknown radius, we divide the 2nd term from the first, in this case we have [tex]\frac{27}{81} =\frac{1}{3}[/tex] which is less than one so it Converges.

5) for this one, since the second term is bigger than the first, if we divide them, the answer would always be bigger than 1 so it Diverges.

The geometric series are given by the formula ∑[tex]C(r)^{n}[/tex] where c is a constant.

6) in this case our [tex]r = \frac{3}{2}[/tex] which is bigger than 1 so it Diverges.

7) [tex]r = \frac{-1}{4}[/tex] and [tex]|r|=\frac{1}{4}[/tex] which is less than one so it Converges.

to find the sum of a convergent geometric series, we use the formula [tex]\frac{a_{1} }{1-r}[/tex]

8) plug in given information

[tex]a_{1} = 3\\r = \frac{-1}{5}\\\\=\frac{3}{1-(-\frac{1}{5}) }\\= \frac{3}{1+\frac{1}{5} }\\= 2.5[/tex]

9) since [tex]r = -3[/tex] and [tex]|r|=3[/tex], r is greater than 1 and it Diverges.

Hopefully the work I did was right. Have a good one!

Answer:

1 / 6

Step-by-step explanation:

S = { 1, 2, 3, 4, 5, 6 }

n ( S ) = 6

Let A be the event of getting the number " 3 ".

A = { 3 }

n ( A ) = 1

P ( A ) = n ( A ) / n ( S )

P ( A ) = 1 / 6

Therefore,

the probability that the number 3 is 1 / 6.

Answer:

0.125

Explanation:

0.5 x 0.5 x 0.5 = 0.125

Answer:

(-4,-4)

Step-by-step explanation:

Anytime you reflect a coordinate point across the x-axis, the y-coordinate becomes its opposite and the x-coordinate stays the same.

In this coordinate: (-4,4)

Reflecting (-4,4) across the x-axis means the x-coordinate (-4) would stay the same and the y-coordinate (4) would become its opposite (-4).

The new coordinates after being reflected across the x-axis are (-4,-4).

Answer: 77824

Step-by-step explanation:

Answer:

Right triangle

Step-by-step explanation:

Answer:

Right triangle

Step-by-step explanation:

To find the third angle, we add the two known angles.

47 + 43 = 90

The sum of all the angles of a triangle is always 180.

Therefore, we subtract 90 from 180 to find the third, unknown angle.

180 - 90 = 90

Because 90 degrees is the third angle, and 90 degrees is a right angle, this is a right triangle.

Answer:

1.835

Step-by-step explanation:

use pythagoras theorem to find missing side

use sin to find missing angle

missing side/13 = 1.835

DC₃₁ is the entry of the product DC in row 3, column 1, which you get by computing the dot product of the 3rd row of D and the 1st column of C :

{3, -2} • {1, 4} = 3×1 + (-2)×4 = 3 - 8 = -5

Answer:

20661046784

Step-by-step explanation:

I couldn't get the pos exponent but hopefully this helps

Answer:

I think its 2.73 not sure tho

Step-by-step explanation:

Answer:

I got 3.73 (I am sorry if I am wrong I haven't done it in a while but I hope this helps!)

Step-by-step explanation:

Answer:

need the whole question .....

Step-by-step explanation:

Answer:

The median score is 80 ;)

Step-by-step explanation:

Answer:

B. -27

Step-by-step explanation:

7*-5= -35           6*2 = 12 .          t= 4

-35 + 12 = -23

-23 - 4 = -27

Answer: B. -27

Step-by-step explanation:

7(-5) + 6(2) - 4

-35 + 12 - 4

-23 - 4

= -27

2-2x+3=0

5-2x=0

-5      -5

-2x=-5

/-2   /-2

x=2.5

---

hope it helps

sorry if I'm wrong

the X confused me

Answer:

x = 225.16 feet

Step-by-step explanation:

Given that,

The angle between the piling and the pier is 60°.

A surveyor has set up his transit on one side of the lake 130 feet from a piling that is directly across from a pier on the other side of the lake.

We need to find the distance between the piling and the pier. Let the distance be d. Using the trigonometry to find it as follows :

[tex]\tan(60)=\dfrac{x}{130}\\\\x=\tan(60)\times 130\\\\x=225.16\ feet[/tex]

So, the required distance is 225.16 feet.

Answer:

12mm since its supposed to be for larger rectangles

Step-by-step explanation:

Answer:

A. False

B. True

C. True

D. True

Step-by-step explanation:

Hey man good luck that’s all i can say brotha

Answer:

number 2 - x=50, y =69

Step-by-step explanation:

Angles in a polygon of a pentagon add up to 540

so 180 +125+98+98 = 429

540 - 429 = 111

now you do x = 50 so

2 times 50 which is 100

then plus 11 which is 111

Answer:

720

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

The mean number of people is 2.8 per residence . Which is the correct answer would be an option (C)

Arithmetic mean is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean. One of the basic methods used to acquire a result, the term "Mean" is commonly used in the field of statistics.

The formula for the mean of a given set of data is as follows:

Mean = Sum of Observations/Total number of observations

Given the frequency distribution as :

People per residence (x)   Frequency (f)           fx      

          1                                   2                            1 × 2 = 2

          2                                   4                           2 × 4 = 8

          3                                   3                           3 × 3 = 9

          4                                   1                            4 × 1 = 4

          5                                   1                            5 × 1 = 5

          6                                   1                            6 × 1 = 6

Summation of fx = (Σfx) = 2 + 8 + 9 + 4 + 5 + 6 = 34

Total frequency = (Σf) = 2 + 4 + 3 + 1 + 1 + 1 = 12

⇒ Mean = Σfx/Σf

⇒ 34/ 12

⇒ 2.83 ≈ 2.8

Thus, the mean of the frequency distribution is 2.8.

Learn more about the arithmetic means here:

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Answer c

Step-by-step explanation:

Answer: 2 places to the right

Step-by-step explanation:

If i'm wrong sorry hope it helps

Answer:(2,0) x=2,y=0

Step-by-step explanation:

Let's solve your system by elimination.

−x+y=−2;2x−3y=4

Multiply the first equation by 2,and multiply the second equation by 1.

2(−x+y=−2)

1(2x−3y=4)

Becomes:

−2x+2y=−4

2x−3y=4

Add these equations to eliminate x:

−y=0

Then solve−y=0 for y:

−y=0

−y/−1 =0/−1

(Divide both sides by -1)

y=0

Now that we've found y let's plug it back in to solve for x.

Write down an original equation:

−x+y=−2

Substitute0foryin−x+y=−2:

−x+0=−2

−x=−2(Simplify both sides of the equation)

−x/−1 = −2/−1

(Divide both sides by -1)

x=2

Answer:

67

Step-by-step explanation:

you divide the 48/17 yo get 67

Answer:

C is the answer

Step-by-step explanation:

I took the test and got it right

Answer:

lol no picture attach it please

Step-by-step explanation:

Answer:

2/5= yellow

3/5= blue

Step-by-step explanation:

total cards= 2(yellow) + 3 (blue)

=5 cards total

probability for drawing yellow card= 2/5

probability for drawing blue card= 3/5

Step-by-step explanation:

a)2:5

2/5x100=40%

b)3:5

3/5x100=60%

i don't what U want so, I hope it'll help U

Given: AE is a tangent to circle OO, m/FAE = 85, m AB = 40, m BC = 16, m CD = 10, m 212 = 55, m ZGAK = 75.What is required to be found out?We need to find mEGAP. So, mEGAP = 230/2 = 115.

Solution:According to the Theorem, "If a line is drawn tangent to a circle at the endpoint of a diameter, then the angle formed by the line and the diameter is a right angle."Therefore, the diameter would be OO.Now, we need to find the value of m EGA.From the angle of the segment, we know that a circle is 360 degrees and that an arc is equal to the angle subtended by it.

If 212° = 55°, then arc AKB = 360° - 212° = 148°.

Similarly, we can calculate arc GAC = 360° - 75° = 285°.So, arc AKC = arc AKB + arc GAC = 148° + 285° = 433°.As arcs AKC and KGD are opposite, they are equal.

Therefore, arc KGD = 433°.It is given that the length of arc KGD is 40+16+10 = 66. Therefore, the length of the entire circle is 433/360 x 66 = 80.02.

Most importantly, the value of m EGA is 360° - 75° - 55° = 230°.Therefore, m EGAP = 230/2 = 115.Answer: m EGAP = 115.

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