Answer:
33Step-by-step explanation:
The nth term of a geometric sequence is expressed as;
Sn = a(r^n - 1)/r - 1
a is the first term of the sequence
r is the common ratio
n is the number of terms
From the sequence;
a = 3
r = -6/3 = 12/-6 = -2
n = 5 (since are looking for the sum of first five terms)
Substitute into the formula;
S5 = 3((-2)^5 - 1)/-2 - 1
S5 = 3(-32-1)/-3
S5 = 3(-33)/-3
S5 = -(-33)
S5 = 33
Hence the sum of the first five terms of the sequence is 33
It takes you 1 minute 40 seconds to walk 550 feet. What is your average speed?
Answer:
5.5 feet per second or 330 feet per minute
Step-by-step explanation:
550/100 seconds = 5.5 feet per second
5.5 x 60 = 330 feet per minute
Answer:
3.75 mph (miles per hour)
(i finally got the right answer, ignore my comment, i am so sorry it was wrong T_T)
urgent NEED DONE NOW PLEASE
There are 8 red marbles and 3 blue marbles in a bag. (a) What is the ratio of blue marbles to red marble 0 (b) What is the ratio of all marbles in the bag to blue marbles?
Answer:
a. 3/8
b. 11/3
Step-by-step explanation:
a. For this, we need to use a fraction to compare how many of each marble there are. 3 blue to 8 red. The ratio is 3 to 8 or 3/8
b. Now we have to compare how many all the marbles in the bag to just the blue marbles. All the marbles: 8+3=11, blue marbles: 3. So the ratio is 11 to 3 or 11/3
a) The ratio of blue marbles to red marbles: 3/8.
b) The ratio of all marbles to blue marbles: 11/3.
(a) To find the ratio of blue marbles to red marbles, divide the number of blue marbles by the number of red marbles.
Blue marbles: 3
Red marbles: 8
So, the ratio is 3/8
(b) To find the ratio of all marbles in the bag to blue marbles, divide the total number of marbles by the number of blue marbles.
Total marbles = 8 + 3
= 11
So, the ratio is 11/3.
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According to Video Game Voters.org, 38% of all games sold in the U.S. would be purchased by women. Explain why is this a joint event?
Solution :
According to the question, as given by the Video Game Voters.org website, 38 percent of all the games that is sold in the United States would be purchased by the women.
Now this is considered as a joint event. This is because the above statement consists of two events.
1. Video games are sold in the United States.
2. Women purchased video games.
The above two events are working or happening at the same time. And 0.38 is the likelihood of the games to be sold in the U.S. and the games that is sold in U.S. are being purchased by the women.
What is the ratio of frosted cookies to non-frosted cookies?
Answer:
27:9
Step-by-step explanation:
WDGWADgawYd awIdwaiudwaiudgaidgawida
Which of the following are proportional A.4/9=8/13 B.4/9=11/16 C.4/9=8/18 D.4/9= 9/9
Answer:
C. 4/9 = 8/18
Step-by-step explanation:
Carrie and nine of her friends go out to dinner. The total bill comes to $191.10. They decide to (I leave a 15% tip. Each person will contribute an equal amount to the total tip. Estimate what each person should contribute.
$19.00
$28.50
$1.90
$2.85
Answer:
$2.85 per person
Step-by-step explanation:
$191.10 * 0.15 = $28.665 tip
total tip divide by 10 people
$28.665/10 = $2.85
Each person has to contribute $2.85 amount for the tip.
Given,
Total no. of person go out for dinner = carrie + her nine friends
= 1+9 = 10
Amount of the bill is = $191.10
Amount of tip is = 15% of the bill
= [tex]\frac{15 }{100}[/tex] × $ 191.10
= 28.665
Total amount each person contribute an equal amount for tip is = [tex]\frac{28.665}{10}[/tex]
=$ 2.85
Each person contribute $2.85 amount for the tip.
For more information about ratio and proportion click the link given below.
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59 is the sum of 9 and raj’s score
Answer:
33
helpStep-by-step explanation:
Carol had $497 in her bank account if $912 is withdrawn from it how much is new balance in her bank account
The anwser is -415
hope this helped!
Ruben bought 666 comic books for \$21$21dollar sign, 21. Each comic book was the same price.
What was the cost for 111 comic book?
Answer:
$3.50 for 1 book
Step-by-step explanation:
$21/6 = $7/2 = $3.50
Answer: $3.50 for 1 book
Find the 12th term in the following arithmetic sequence
ez pls help i will give extra points
Answer:
25.4
Step-by-step explanation:
1/3 ( 2.55+.75) +3* 8.1
Using pemdas, parentheses first
1/3 ( 3.3) +3* 8.1
Then multiply
1.1 + 24.3
Then add
25.4
Will give brainliest if correct!
If y + 1= 2015, for what positive integer w will 2y^2 + 2y = 2015w?
Answer:
w = 4028
Step-by-step explanation:
Solve for y
[tex]y+1 = 2015[/tex]
[tex]y=2014[/tex]
Substitute 2014 for y then solve for w
[tex]2\left(2014\right)^{2}+2\left(2014\right)=2015w[/tex]
[tex]w=\ \frac{\left(2\left(2014\right)^{2}+2\left(2014\right)\right)}{2015}[/tex]
[tex]w=4028[/tex]
Therefore, w must be 4028
Any help please I appreciate it if u lend a helping hand plzzzzz
What is this pls answer
Answer:4:24 I believe
Step-by-step explanation:
Answer:
4:25
Step-by-step explanation:
The little string stand for hour and the big string stands for the minutes
One way to find the total cost of a jacket for $55 with a sales tax of 2%
Answer:
cost of jacket 55
sales tax 2/
55/ 2 percent × 100
2,750
Find the 12th term of the geometric sequence 4,8,16?
Step-by-step explanation:
From the question. The first term is a which is 4. The common ratio is 8/4 = 2. n is 12 since we are looking for the 12th term.
The solution is attached below. The answer is 8192
The 12th term of the geometric progression 4 , 8 , 16 .. is a₁₂ = 8192
What is Geometric Progression?
A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.
The nth term of a GP is aₙ = arⁿ⁻¹
The general form of a GP is a, ar, ar2, ar3 and so on
Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )
Given data ,
Let the geometric progression be represented as A
Now , the value of A is given by
A = 4 , 8 , 16 , ..
Now , the geometric progression is given by the formula
aₙ = arⁿ⁻¹
where aₙ is the nth term of the sequence
a is the first term
r is the common ratio
n is the number of terms
Now , the common ratio r can be found out by
Common ratio r = second term / first term
Substituting the values in the equation , we get
Common ratio r = 8 / 4
Common ratio r = 2
Now , substituting the value in the equation , we get
The 12th term of the geometric progression is
a₁₂ = arⁿ⁻¹
The value of a₁₂ = 4 ( 2 ) ¹²⁻¹
The value of a₁₂ = 4 ( 2 )¹¹
The value of a₁₂ = 4 x 2048
The value of a₁₂ = 8192
Therefore , the value of a₁₂ is 8192
Hence , The 12th term of the geometric progression 4 , 8 , 16 .. is a₁₂ = 8192
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Find the number of possible outcomes for the subway. Five breads, 4 meats, 4 cheeses, toasted or not toasted *
Answer:
Whole Wheat bread, meatball marinara, toasted bread, lettuce, and parmesan
Step-by-step explanation:
A company wants to hire the person who
types the most words per minute.
Liz types 648 words in 9 minutes.
Brad types 816 words in 12 minutes.
Who will get hired?
Answer:
Liz
Step-by-step explanation:
liz types more words per min.
Jordan hiked to the top of a mountain. He started the hike at 8:30 A.M. It took 2 hours and 15 minutes to get to the top of the mountain and 1 hour and 30 minutes to hike back down. What time was it when Jordan finished the hike?
Please help me fast!!!!
Answer:
12:15 PM
Step-by-step explanation:
start at -3.5 and then add to that 4.2. As if you were walking from -3.5 on the number line up 4.2 steps to the right. Where would you land?
Answer:
0.7
Step-by-step explanation:
Answer:
0.7
Step-by-step explanation:
Solve each inequality. I need help please.
Answer:
n [tex]\geq[/tex] -28
Step-by-step explanation:
Since you're dealing with negative numbers, flip the sign. Furthermore, to isolate n, divide 84 by -3 and you will get -28. Your answer therefore, is n [tex]\geq[/tex] -28.
I’ll give brainlest I don’t know the answer:/ someone help bruh
Answer:
(4,2)
Step-by-step explanation:
its where the point intersects which is (4,2)
Marc wants to know if the mean age of the prison population in his city is less than 26 years. He obtains a random sample of 25 prisoners, and finds a mean age of 24.4 years and a standard deviation of 9.2 years. Ata significance level of 0.05, what is his conclusion?
Answer:
gsgsbsbsbs
Step-by-step explanation:
yewhsgshdhhssjbs
Devon is trying to find the unit price on a 6-pack of drinks on sale for $2.99. His sister says that at that price, each drink would cost just over $2.00. Is she correct, and how do you know? If she is not, how would Devon’s sister find the correct unit price?
Answer:
Step-by-step explanation:
Devon's sister is incorrect.
Note 6 drinks thats cost $2.99
2.99 divided by 6 is $0.50
Thus each drink is approx. $0.50
She would find it if she divided total number of drinks by the total price
What is the quotient of 3 /7 +
4/8
using reciprocal express your answer in lowest term
Answer: 6/7
Step-by-step explanation: So 3/7 divided by 4/8. You can simplify 4/8 to 1/2. So then it would be 3/7 times 2/1. The answer would be 6/7
Which of the following shows the prime factorization of 72 using exponential notation?
The prime factorization of 72 using exponential notation is [tex]2^{3} *3^{2}[/tex].
It is required to find the prime factorization of 72.
What is a prime factorization ?Prime factorization of a number is breaking a number down into the set of prime numbers which multiply together to result in the original number. The fundamental theorem of arithmetic says that every positive integer has a unique prime factorization.
Given that:
The prime factorization for 72 is
=2×2×2×3×3 .
=[tex]2^{3} *3^{2}[/tex]
Hence, the prime factorization of 72 using exponential notation is [tex]2^{3} *3^{2}[/tex].
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find the multiplicative inverse of -2 in mod 7
Answer:
So something mod 7 is -2Lets consider what mod does as a commands: If you have 7 and then mod it by 2 ie 7%2 you get 1 Essentially mod is seeing how many times a # goes into the other number and finding the remainder. In this case we want the remainder of 2: -8%3 =-2note there is also a mathematical procedural way to solve this.Rate positively and give brainlistWrite the slope-intercept form of the equation