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
SpyIntel [72]
2 years ago
7

Need help asap!!!!!!!!!

Mathematics
2 answers:
UNO [17]2 years ago
6 0

9514 1404 393

Answer:

  3420

Step-by-step explanation:

The first term is 20. The common ratio is -40/20 = -2. Fill these values into the formula and evaluate.

  S_9=\dfrac{20-20\cdot(-2)^9}{1-(-2)}=\dfrac{20-20(-512)}{3}=\dfrac{10260}{3}\\\\ \boxed{S_9=3420}

tatuchka [14]2 years ago
5 0

Answer:

<h2>-3400</h2>

Step-by-step explanation:

In general, a geometric sequence is given by:

<h3>a,ar,ar^2,⋯,ar^n−1 </h3>

In the sequence 20, - 40 , 80,…

First term, a1 = 20

Common ratio, r = - 40 ÷ 20 = - 2

The nth term is = 9th

Sum of finite geometric series : Sn= ( a1 - a1r^n ) / ( 1 - r)

S9 = ( 20 - 20 x (- 2)^9 ) / ( 1 - ( - 2) )

S9 = ( 20 - 20 x - 512 ) / ( 1 + 2 )

S9 = ( 20 - 10240<em> </em>) / ( 3 )

S9 = ( - 10220 ) / 3

<h3>S9 = - 3400 <u>Answer</u> </h3><h2>Hope it's help you.... ^_^❤️</h2>

You might be interested in
Jose has a family of 4. Is it more reasonable for Jose to purchase 3 pounds of potatoes for his family’s meal tonight or 13 poun
Angelina_Jolie [31]
I think 13 pounds for extras and all not sure just my thought :)
5 0
3 years ago
The Westerburg High School Soccer Team performs differently in the rain than they do when it doesn't rain. When it rains they ha
marusya05 [52]
The correct answer is Choice D: 68%.

You have to make a tree diagram with all of the possibilities.

Here are the possibilities:

Rain - Win = 0.6 x 0.8 = 0.48
Rain - Loss = 0.6 x 0.2 = 0.12

No Rain - Win = 0.4 x 0.5 = 0.2
No Rain - Loss = 0.4 x 0.5 = 0.2

Adding up the two winning options gives us 68%
0.48 + 0.2 = 0.68
8 0
3 years ago
1. Determine whether line KM and line ST are Parallel, Pers
Andrews [41]

Answer:

Since the slope of KM and ST are different, they are not parallel

Step-by-step explanation:

Slope of line KM = \frac{5}{8}

 Slope of ST = -\frac{8}{5}

Determine whether the lines are perpendicular;

Solution:

We can use the slope of a line to determine whether they are perpendicular or parallel to one another.

Parallel lines do not meet one another

Perpendicular lines cross one another at an angle of 90°

Two lines are parallel if their slopes are the same;

  Since the slope of KM and ST are different, they are not parallel

7 0
2 years ago
Places A and B are 100km apart from each other on a highway. A car starts from A and another from B at the same time. If they mo
Mashutka [201]

Answer:

Speed of the first car = x = 35km/hr

Speed of the second car = 25km /hr

Step-by-step explanation:

The calculation of speeds of the cars is given below:-

Assume that the speed of the 1st car which is opening from A = x km/hr

and assume the Speed of the 2nd car which is starting from B

= y km/hr  

As we know that

Time = Distance ÷ Speed

So, the distance lies between two places i.e.  A and B are

80km d = 80 km

1. now when the car moves in the similar  direction

So, the corresponding speed of them = (x + y)km/hr

Time = 8hr

d = 80km

8 = \frac{80}{(x + y)}\\\\x + y = \frac{80}{8}\\\\x + y = 10 ..... (i)

2. when two cars moving in the inverse direction,

So, the corressponding speed = (x - y) km / hr

Time = 1 hr 20 minutes

That means

= (1 + 20 ÷ 60) hr

= (80 ÷ 60)

= 4/3 hr

d = 80km

Now

4 ÷ 3 = 80 ÷ (x -y)

x -y = (80 × 3) ÷ 4

x - y = 60 ..... (ii)

Now, we will sum equation 1 and equation 2 we will get

2x = 70

x = 35

now, Put x = 35 in (i) we will get

y = 25

Speed of the first car = x = 35km/hr

Speed of the second car = 25km /hr

8 0
3 years ago
Laura decides to walk to her job. she walks 1 1/2 miles in 3/5 hour. What is Laura's unit rate?
Artyom0805 [142]
To find the rate in miles per hour, divide the miles by the hours.
(1 1/2 miles)/(3/5 hour) =
= 3/2 miles * (5/3 hour)
= 5/2 mph
= 2 1/2 mph
Her walking rate is 2 1/2 mph.
(4 1/2 miles) / ( 2 1/2 mph) =
= 9/2 miles / (5/2 mph)
= 9/2 * 2/5 hours
= 9/5 hours
= 1 4/5 hours
From 9:00 a.m. to 11 a.m., she has 2 hours, but she only needs 1 4/5 hours to walk, so she will make it to work on time.
6 0
3 years ago
Read 2 more answers
Other questions:
  • two major league baseball players got a total of 204 hits. washington had 4 more than. sanchez. find the number of hits for each
    11·2 answers
  • What is the modulus of 6 + 7i?
    13·2 answers
  • What is not equivalent to each other 3/15 2/10 1/5 9/45 10/50 6/40 7/35 100/500?
    7·1 answer
  • Maria and three friends have a thousand and two hundred stock cards if they share the stock of cards equally how many will each
    10·1 answer
  • A = 23 − 32 + 4(5 + 1) and B = 72 − 2(3 + 1)2, what is the value of A − B?
    11·2 answers
  • The equation w(t)=100+40t models the weight (w(t) in grams) of a male white laboratory rat t weeks after its birth.
    9·1 answer
  • Help I need it :| :|
    12·1 answer
  • In the Pacific Ocean, the Philippine Trench is 10.047 kilometers deep. In the Atlantic Ocean the Brazil Basin is 6.119
    15·1 answer
  • Please please help *image attached* it’s ap calc ab
    8·1 answer
  • image Which absolute value equation represents the graph? Question 7 options: A) ƒ(x) = –|3x| – 5 B) ƒ(x) = 5|x| – 3 C) ƒ(x) = |
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!