1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anna71 [15]
3 years ago
10

I am having trouble with converges and diverges​

Mathematics
1 answer:
inna [77]3 years ago
5 0

Answer:

d. converges, -25

Step-by-step explanation:

An infinite geometric series converges if the absolute value of the common ratio is less than 1.

Here, the common ratio is 4/5:

| 4/5 | = 4/5 < 1

So the series converges.  The sum of an infinite geometric series is:

S = a₁ / (1 − r)

where a₁ is the first term and r is the common ratio.

Here, a₁ = -5 and r = 4/5:

S = -5 / (1 − 4/5)

S = -25

You might be interested in
Please help I'm very confused and frustrated.
Ray Of Light [21]

Step-by-step explanation:

-36.8 + 9.2(2). [as the value of x is 2]

-36.8 + 18.4

= - 18.4 [as the number with the

Negative sign is greater]

7 0
3 years ago
Read 2 more answers
Please help ASAP!!!!!!!
AveGali [126]

Answer: 63.3

Step-by-step explanation:

9.5v + 8.7w

v = 3

w = 4

9.5(3) + 8.7(4)

28.5 + 34.8

63.3

8 0
3 years ago
Read 2 more answers
The conditional relative frequency table below was generated by column using frequency table data comparing the number of calori
Rudik [331]

There is an association because the value 0.15 is not similar to the value 0.55

For the nutritionist to determine whether there is an association between where food is prepared and the number of calories the food contains, there must be an association between two categorical variables.

The conditions that satisfy whether there exists an association between conditional relative frequencies are:

1. When there is a bigger difference in the conditional relative frequencies, the stronger the association between the variables.

2. When the conditional relative frequencies are nearly equal for all categories, there may be no association between the variables.

For the given conditional relative frequency, we can see that there exists a significant difference between the columns of the table in the picture because 0.15 is significantly different from 0.55 and 0.85 is significantly different from 0.45

We can conclude that there is an association because the value 0.15 is not similar to the value 0.55

5 0
3 years ago
Read 2 more answers
A line that includes the points (9,j) and (10,4) has a slope of 1. What is the value of j?
Sergeu [11.5K]

Answer:

soln

A=(9,j)

x1=9,y1=j

B=(10,4)

x2=10,y2=4

slope=1

by using the fomulaof slope,

slope=y2-y1/x2-x1

1 =4-j/10-9

1 = 4-j/1

1=4-j

j=4-1

j=3

5 0
3 years ago
Read 2 more answers
What is an equation of the line that passes through the points (-3, -2)(−3,−2) and (3, 6)(3,6)? Put your answer in fully reduced
il63 [147K]

Answer:

The equation of the line is y = \frac{4}{3} x + 2

Step-by-step explanation:

The form of the equation that passes through two points (x1, y1) and (x2, y2) is y = m x + b, where

  • m is the slope of the line whose rule is m=\frac{y2-y1}{x2-x1}
  • b is the y-intercept, you can find it by substituting x, y in the equation by (x1, y1) OR (x2, y2)

Let us solve the question:

∵ The line passes through the points (-3, -2) and (3, 6)

∴ x1 = -3 and x2 = 3

∴ y1 = -2 and y2 = 6

→ Use the rule of m to find it

∵ m=\frac{6-(-2)}{3-(-3)}=\frac{6+2}{3+3}=\frac{8}{6}

→ Simplify it by dividing up and down by 2

∴ m = \frac{4}{3}

→ Substitute its value in the form of the equation above

∴ y = \frac{4}{3} x + b

→ To find b substitute x and y by x1 and y1

∴ -2 = \frac{4}{3} (-3) + b

∴ -2 = -4 + b

→ Add 4 to both sides

∴ -2 + 4 = -4 + 4 + b

∴ 2 = b

→ Substitute it in the form of the equation

∴ y = \frac{4}{3} x + 2

∴ The equation of the line is y = \frac{4}{3} x + 2

6 0
3 years ago
Other questions:
  • Rachel is baking a cake but does not know if she wants to bake a round or a square cake. which cake has a larger area a round 8
    8·1 answer
  • A basketball weighs an average of 22 ounces, and it is possible for its weight to vary at most 0.75 ounces from this average. Wh
    9·1 answer
  • Find the markup $111.00 percent of markup 50%
    8·1 answer
  • What is greater -2/3 or -0.8​
    9·2 answers
  • . If F, G, and H are the midpoints of the sides of ∆CDE, FG = 9, GH = 7, and CD = 24, find each measure.
    6·1 answer
  • A coffee maker priced at $189.99 is on sale for 20% off but then sales tax of 9% and 8% are added to the price after discount. W
    6·1 answer
  • Please help me with this equation! First person to answer correctly will get Brainliest!!!​
    7·2 answers
  • Hi can someone please help me with this. It urgent and time tysm.
    6·1 answer
  • Find the area of the shaded region.<br> 8 in<br> 24 in
    6·1 answer
  • Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!