The formula for any geometric sequence is an = a1 · rn - 1 , where an represents the value of the n th term, a1 represents the value of the first term, r represents the common ratio, and n represents the term number. What is the formula for the geometric sequence 4, 8, 16, 32, ...?
A. an = 4 · (1/2) n - 1
B. an = 2 · 4 n - 1
C. an = 32 · 2 n - 1
D. an = 4 · 2 n - 1
Answer: The correct answer would be
D. an = 4.2n-1
Step-by-step explanation: First, calculate the ratios between each term and the one that precedes it.
8/4=2 ....16/8=2...32/16= 2...
Upon comparing the ratios we see the ratio between each term and the one that precedes it is 2 for all the terms, the sequence is geometric, and the common ratio is r = 2.
Now, we simply need to find the other unknown values in the equation, a1= the first term of the sequence which is 4, Therefore a1=4
Looking at the options provided we see that no further missing quantity can further be found so we put this in the equation provided for a geometric sequence.
We get 4. 2n-1, which is our answer.
Enter the opposite of 4/5 and − 7/15.
The sum of two numbers is -9. Which expressions could represent the addition problem?
PLEASE HELP
The answer is B all the others basically go into positive
↓Question is listed in the photo↓
Answer:
13 laps ........................
Sara has a spinner with 12 equal sections of blue, green, red and yellow. What is the probability she will spin yellow or green?
Answer:
4/12 or 1/3
Step-by-step explanation:
12 sections
Yellow: 1
Green: 3
4/12 or 1/3
I really hope I helped :D
Answer: 4/12
Step-by-step explanation:
Select the expression below that is equal to 5(11 - m).
A. 55 - m
B. 5m - 55
C. 55 - 5m
D. 16 - m
Answer:
C
Step-by-step explanation:
5*11=55
5*-m=-5m
Your welcome
The area of the base of a rectangular prism is 30 square centimeters. The height of the prism is 6 centimeters.
What is the volume of the rectangular prism in cubic centimeters?
Answer:
180
Step-by-step explanation:
30 = base
6 = hight
30 x 6 = 180
I NEED HELP ASAP!! PLEASE!!!
Answer:
the second answer is correct
Step-by-step explanation:
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Pls help asap! Yesterday, Lexy trimmed a tree that was 8.7 feet tall in her backyard. Now the tree stands is at the height of 6 feet tall. What is the percent of decrease when Lexy trimmed her tree?
Answer:
31.03%
Step-by-step explanation:
Very simple
6/8.7 and you get the percentage of tree left. Which is 68.97% (rounded
You subtract that from 100 to get how much was removed.
100-68.97=31.03%
Jason is training to run a marathon. His goal for this week is to run a minimum of 35 miles. So far this week, he has already run 15 miles. Which inequality could be used to determine the mean number of miles, m, he would need to run each day for 4 more days to achieve his goal?
A. 4m – 15 ≥ 35
B. 4m + 15 > 35
C. 4m + 15 ≥ 35
D. 4m + 15 ≤ 35
Answer:
C
Step-by-step explanation:
it says a minimum of 35 miles so that means it can be equal to 35 or more. He only ran 15 miles so he would have to run more. That’s why there would be a plus sign
please help it's due today
Answer:
x = 15 in
you can use the Pythagorean Theorem because you know the legs of the triangle and need to find the hypotenuse
the left leg of the triangle is 9 because 9² = 81
the bottom leg of the triangle is 12 because 48/4 = 12
9² + 12² = x²
81 + 144 = x²
225 = x²
√225 = x
Step-by-step explanation:
a/5 divided by 3a/10
if a doesnt equal to 0
Answer:
Step-by-step explanation:
format is if let variables a,b,c,d then, a/b is divided by c/d can be represented as (a*d)/(b*c) so, by this we have according to the question:
(a*10)/(5*3a) = 2/3
Your bedroom wall is 171 inches wide. You want to hang two posters, each 42 inches across, with an equal space between each poster and the wall edges.
How many inches of space should you leave between the wall edge and each poster?
A rectangular garden has a width of 67 inches and a length of 92 inches. What is the perimeter of the garden in feet? Group of answer choices 31.8 feet 26.5 feet 13.25 feet 42.8 feet
The perimeter of the garden is approximately 26.5 feet according to given question.
To calculate the perimeter of the rectangular garden, we need to add up the lengths of all four sides.
Given:
Width of the garden = 67 inches
Length of the garden = 92 inches
The formula for calculating the perimeter of a rectangle is:
Perimeter = 2 * (Width + Length)
Plugging in the given values, we have:
Perimeter = 2 * (67 inches + 92 inches)
Perimeter = 2 * 159 inches
Perimeter = 318 inches
To convert the perimeter from inches to feet, we divide by 12 since there are 12 inches in a foot:
Perimeter = 318 inches / 12 inches/foot
Perimeter ≈ 26.5 feet
Therefore, the perimeter of the garden is approximately 26.5 feet.
To know more about perimeter here
https://brainly.com/question/397857
#SPJ2
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Answer:
32 degrees. your welcome
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
A glass box shaped like a rectangular prism has a width of 7 inches, a length of 9 inches, and a height of 12 inches. It is being shipped in a larger box with a width of 10 inches, a length of 10 inches, and a height of 15 inches. The space between the glass box and the shipping box will be filled with Styrofoam peanuts. How many cubic inches of space will contain Styrofoam peanuts? Show all work.
Answer:
744 cubic inches.
Step-by-step explanation:
so first you find the area of each box, starting with the glass box.
7×9×12, gives you 756 inches cubed.
then the larger box of 10×10×15, gives you 1,500 inches cubed. then to find the peanut space, you simply take the difference, 1500-756= 744 cubic inches.
hello everyone (this is 6th grade math)
Answer:
7 batches
Step-by-step explanation:
Right answer gets brainlest and you get 20 points just for putting an answer so please answer- :)
i dont get this i got 68??
Answer:
Hello answer: 53
Step-by-step explanation:
I believe this is correct Hope that helps ya.
Forty percent of the books a company produces are children's books. Fifty percent of the children's books are paperback books. Which equation represents the relationship between the number (n) of paperback children's books and the total number (t) of books produced?
a) n = 0.2t
b) n = 0.4t
c) n = 0.5t
d) n = 0.9t
Help me out please I would really appreciate it
Answer:
6 combinations with a sample space of {DMC,DCM,CMD,CDM,MCD,MDC}
Step-by-step explanation:
Here, we are looking for the possible combinations of books since the order doesn't matter:
Method 1: You can take the factorial of 3 since order doesn't matter, which will mean 3!=3*2*1=6 combinations
Method 2: List all the possible combinations for your sample space
DMC
DCM
CMD
CDM
MCD
MDC
Either method you choose, you'll end up with the same result of 6 combinations with a sample space of {DMC,DCM,CMD,CDM,MCD,MDC}
Solve 1/2 + 1/3w = 1/6. Show your work.
pls help! i will give brainly
Answer:
w = -1
Step-by-step explanation:
1/2+1/3+1/6
Multiply both sides by 6
6(1/2)+6(1/3w)=1
3+2w=1
Subtract 3
2w=-2
Divide by 2
w=-1
Hope his helps :)
Answer:
solution in attachment
hope it helps
please i need this a s a p. (as soon as possible)
Answer: I believe it is 3^2 * 7
Step-by-step explanation:
If the perimeter is 20 what must be the length of the missing side length? (Answer with Number Only) *
Answer:
8
Step-by-step explanation:
Perimeter = Sum of all side lengths
If perimeter = 20, then 5 + 3 + 4 + x = 20
( where x = missing side length )
5 + 3 + 4 = 12
12 + x = 20
20 - 12 = 8
Hence, x = 8
What information can you learn from reading a box plot graph? Be sure to explain each part of this type of graph and the information you can obtain about the data in the graph. brainiest is on the line
Answer:
A boxplot is a standardized way of displaying the distribution of data based on a five number summary minimum, first quartile, median, third quartile , and maximum. It can tell you about your outliers and what their values are. It can also tell you if your data is symmetrical, how tightly your data is grouped, and if and how your data is skewed.
Step-by-step explanation:
hope this helps
hewlpp!!!!!!!! please!!
Answer:
x=55
Step-by-step explanation:
(2x+10) + (x+5) = 180
3x+15=180
3x=165
x=55
Please try to do this fast, thank you to whoever does it!!!!!!!!
Which of the following tables represents a linear relationship that is not proportional?
Sandra saves 10% of her salary for retirement. This year her salary was $1,000 more than in the previous
year, and she saved $4,200. What was her salary in the previous year?
Answer:
$41000
Step-by-step explanation:
If her salary was $1,000 more than the previous year and she save $4,200, $4,200 was 10% of her salary. So we should create an equation. (x being her salary from the previous year)
0.1(x+1000)=4200 (divide 4200 by .01)
x+100=42000
42000-1000= 41000
can u pwsss helppppp
:)
Answer:
[tex]F) ~200.96 ft[/tex]
Step-by-step explanation:
[tex]c=\pi d=[/tex][tex]\pi (64ft)=[/tex][tex]201ft[/tex]≈[tex]200.96ft[/tex][tex]---------[/tex]
[tex]hope ~it ~helps[/tex]
Answer: i think its uh F
Step-by-step explanation: