S_ = a/(1 - r), where a denotes the first term and r denotes the common ratio, is the formula for calculating the sum of an infinite geometric progression.
What is Geometric Progression?If a series of phrases is called a geometric progression if each next term is created by multiplying each previous term by a fixed amount. (GP), while the common ratio refers to the constant value. As an illustration, a GP with the common ratio of 2 is 2, 4, 8, 16, 32, 64,...4 / 2 = 8 / 4 = 16 / 8 = 32 / 16 = 2.
Similarly,
A series of 1 through 5 and 1 through 16 is an example.1/2 / 1 = 1/4 / 1/2 = 1/8 / 1/4 = 1/16 / 1/8 = 1/2
The ratio is constant in the provided examples. Geometric Progressions are the name for such a series. G.P. is how it is shortened.When none of the terms in the sequence are zero, the constant r, often known as the common ratio, is used.A Sequence a1,a2,a3, ......,an,......... is a G.P, then ak + 1 / ak = r [k >1]The next step is to understand how to add GP when it has n words.To Learn more About geometric progression Refer To:
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please solve the question below
Answer:
x = 5.61
Step-by-step explanation:
Applying the knowledge of similarity between two figures, thus:
Height of flag : height of Tommy = shadow length of flag : shadow o
Length of Tommy
30:5.5 = (25 + x) : x
30/5.5 = (25 + x)/x
30×x = 5.5(25 + x)
30x = 137.5 + 5.5x
30x - 5.5x = 137.5
24.5x = 137.5
x = 137.5/24.5
x = 5.61 (nearest hundredth)
These are congruent. What is the measurement of E?
Answer:
44º
we know the angle measures of angles G and F; they match up with angles L and M meaning angle K is congruent to angle E
Matthew has a loyalty card good for a discount at local hardware store. The item he wants to buy is priced at $13 before discount and tax. After the discount and before tax a price is $12.48. Find the percent discount.
Answer:
Step-by-step explanation:
Your answer
Old price = 13$
New price = 12.48$
DISCOUNT price = 0.52$
Discount rate = 0.52/13 * 100= 4%
Mark it as Brainlist answer. Follow me.
Solve x + 2∕5 = 1∕3 for x.
Question 15 options:
A)
x = –11∕15
B)
x = 1∕15
C)
x = 11∕15
D)
x = –1∕15
Answer:
D
Step-by-step explanation:
x + 2/5 = 1/3
x = 1/3 - 2/5
x = -1/15
Answer:
-1/15
Step-by-step explanation:
I need help!!!!! Solve for n 6n=72
Answer:
6n=72
n=72/6
n=12
.....................
Answer:
n = 12
Step-by-step explanation:
n = 72÷ 6
n = 12
thats the answer
Cindy drives her car 25 miles from her workplace to her home. The trip takes 1/2 hour. What is her unit rate in miles per hour?
Answer:
Unit rate = 50m/h
Step-by-step explanation:
Distance = 25 (x2) = 50 ( basically make the den 1 and wht
Time = 1/2 hr (x2) = 1hr u do to den do to num)
Unit rate = 50m/h
Which of the following is the correct factorization of -y²+y+6?
Answer:
(−y−2)(y−3)Step-by-step explanation:
I'm just going to factor it for you.
Factor −y^2+y+6
−y^2+y+6
=(−y−2)(y−3)
Answer:
(−y−2)(y−3)
Math 1-2 High School please help due in two minutes
The sum of the interior angle of a rhombus is 360° and each angle is 90°
SOLVING THE SYSTEM BY ELIMINATION!
Let h(t) =-16t2 + 5t + 1. What is h(1)?
Answer:
Step-by-step explanation:
Hhggggy
What are the next three terms in the sequence -27, -19, -11, -3, 5, ...?
A. 13, 21, 29
B. 22, 29, 36
C. 15, 22, 29
D. 8, 15, 22
Answer:
13, 21, 29
Step-by-step explanation:
the difference is 8
so add 8 to last numbers
Answer:
A
Step-by-step explanation:
u subtract each number by 8 then once u get to 5 u start adding them all by 8
cuales son los divisores de 12
Answer:
1, 2, 3, 4, 6, 12
Step-by-step explanation:
Answer:
1,2,3,4,5,6,12 esos son
The mass of a basket containing three balls was 3.64 kg. The mass of the same basket and five balls is 5.26 kg. Find the mass of the empty basket in kilograms?
Answer:
1.21
Step-by-step explanation:
5.26 - 3.64 = 1.62
1.62 ÷ 2 because the difference between 3 and 5 is two, the mass of one apple is 0.81 because 1.62 ÷ 2 = 0.81
so now we know one apple weights 0.81
if we multiply that 0.81 x 3 it will equal 2.43, so now the three apples alone wiegh 2.43...so now we look at the total weight of the whole basket with three apples, which is 3.64,
3.64 - the weigth of the apples (2.43)
3.64 - 2.43 = 1.21
the basket alone wieghts 1.21
Sorry if that was too long just want you to understand it
Exercise 1.7.1.
1. In a class of 32 students, 11 study Physics, 16 study Biology, 14 study Chemistry but
4 do not study of these subjects, 5 study Physics and Biology,4 study Physics and
Chemistry, 7 study Biology and chemistry while 6 study chemistry only. Using n to
represent the number of students who study all three subjects.
(a) Illustrate this information on a Venn diagram
(6) Write an equation in terms of n.
(c) By solving your equation in (6), find the number of students who study:
(i) all three subjects
(ii) Physics or Chemistry but not Biology
thiz language is french
e/2 < -1 I need help!!! Ty
Answer: you cant solve this solution
Step-by-step explanation:
Line passes through (-5,3) and (-6,-1). Line B passes through (3,-2) and (2,-7). Are the lines parallel? Explain.
Answer:
No they are not parallel.
Step-by-step explanation:
You have to figure out the slopes of each set of points. For (-5,3) and (-6,-1) the slope is 4 and for (3,-2) and (2,-7) the slope is 5. You can only have parallel lines if the slope is same and the y- ints are different. Here the slopes aren't same.
Sorry If im wrong. Hope this helps!
The two given lines are not parallel.
What is the slope of a line which passes through points ( p,q) and (x,y)?The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.
Its slope would be:
[tex]m = \dfrac{y-q}{x-p}[/tex]
Slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other.
We are given that;
The points= (-5,3) and (-6,-1), (3,-2) and (2,-7)
Now,
For line A, let’s use (-5, 3) and (-6, -1) as the two points. Plugging these values into the formula, we get:
m = (-1 - 3) / (-6 - (-5)) = -4 / -1 = 4
So, the slope of line A is 4.
For line B, let’s use (3, -2) and (2, -7) as the two points. Plugging these values into the formula, we get:
m = (-7 - (-2)) / (2 - 3) = -5 / -1 = 5
Hence, the slope of line B is 5.
Since the slopes of line A and line B are not equal (4 ≠ 5),
Therefore, by the slope the answer will be they are not parallel.
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Anna surveyed 300 of the students in her school about their favorite color. 186 students said their favorite color was red. What percentage of the surveyed students said their favorite color was red?
Answer:_________
PLEASE HELP ME!!!
Answer:
62%
Step-by-step explanation:
I took a fraction and made a decimal which was made into a percentage.
186 ÷ 300 = .62
Check: 62% • 300 = 186
The survey Anna conducted has 62% of students whose favorite color is red.
What is percentage?The percentage is the value per hundredth. Percentages can be converted into decimal form by dividing them by hundred, Percentage can also be represented as a fraction.
Given that 186 out of 300 students Anna surveyed chooses red as their favorite color.
The percentage of students whose favorite color is red is no. of students whose favorite color is red divided by the total no. of students multiplied by hundred which is,
= (186/300)×100.
= 186/3.
= 62%.
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4-58. Lisa plans to retire on her 61st birthday. On her
22nd birthday, Lisa will start saving SA per year for
40 years. Starting on her 62nd birthday, Lisa plans on
withdrawing $10,000 and will continue these annual
withdrawals until the account is exhausted on her 85th
birthday. If Lisa's bank account pays 3% per year, what
annual amount of SA will Lisa need to invest in her bank
account to achieve her retirement goal? (4.10)
Answer:
Lisa invest "$2180.81" in her bank.
Step-by-step explanation:
The given values are:
On Lisa's 62nd birthday,
she withdraw = $10,000
The annuity of $A will remain at 3 percent for 40 years. The retirement pension of $10000 lasts 23 years at rate percentage of 3 but begins 40 years later.
⇒ [tex]A\times (\frac{P}{A} ,3 \ percent,40) - 10000 (\frac{P}{A} ,3 \ percent,23)\times \frac{1}{(1.03)40} = 0[/tex]
⇒ [tex]A\times 23.1148 - 10000\times 16.4436\times 0.3066 = 0[/tex]
⇒ [tex]A = 10000\times 16.4436\times \frac{0.3066}{23.1148}[/tex]
⇒ [tex]= 10000\times 16.4436\times 0.0132[/tex]
⇒ [tex]=2180.81[/tex] ($)
Someone please help me I’ll give out brainliest please dont answer if you don’t know
Answer:
its $63.96
Step-by-step explanation:
Using the formula (b) and replacing the given values:
Sale Price = Original Price - Amount Saved. So,
Sale Price = 79.95 - 15.99
Sale Price = $63.96 (answer).
This means the cost of the item to you is $63.96.
You will pay $63.96 for a item with original price of $79.95 when discounted 20%.
In this example, if you buy an item at $79.95 with 20% discount, you will pay 79.95 - 15.99 = 63.96 dollars.
Answer:
$63.96
Step-by-step explanation:
$79.95 = 100%
The jacket is on sale for 20% off, therefore it is 100% - 20% = 80% or 0.8
0.8 x $79.95 = $63.96
Please mark me brainliest.
Marcia is at a store with a 20% off sale. She also has a coupon for an additional 10% off the sale price. Prove or disprove the following statement: A 20% discount on the original price of an item followed by the use of a 10% coupon, results in a total discount of 30%.
is it multipuction then do that the rest
Six consecutive numbers added up to a total of 45 what is the highest of these numbers
Answer:
11......
Step-by-step explanation:
Just figured what numbers fit..
Do it in my head
The highest number is 10.
Let the numbers be a, a+1, a+2, a+3, a+4 and a+5.
Then, we will add all the numbers and equate them to 45. This will be:
a + (a + 1) + (a + 2) + (a + 3) + (a + 4) + (a + 5) = 45
6a + 15 = 45
Collect like terms
6a = 45 - 15
6a = 30
a = 30/6
a = 5
Smallest number = 5
Then, the largest number will be:
a + 5
Since a = 5
a + 5 = 5 + 5 = 10
In conclusion, the highest number is 10.
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hey yall what is 34 x 45 x 567
Answer:
867510
Step-by-step explanation:
34 x 45 = 1530
1530 x 567 = 867510
hope this helped
The answer is
[tex]867510[/tex]
divide 345609875by 13
Answer:
26585375
Step-by-step explanation:
Find volume of a 6mi sphere
Suppose that in 6 minutes, 54 gallons of water came out of a pipe. What was the rate in gallons per minute?
Answer:
9 gallons per minute
Step-by-step explanation:
If there are 54 gallons that came out of a pipe within 6 minutes, then we divide 54 by 6 to get how many would come out in 1 minute.
54/6 = 9.
Rick buys 18 apples for $13. How much would it cost to buy 24 apples?
Answer:
$33.23
Step-by-step explanation:
If 18 apples cost $13, this means that each apple costs 1.38461538. To find the cost of 24 apples, multiply that decimal number by 24. You will get 33.2307692308. You can round this to 33.23.
15 POINTS!!
Graph the equation. y=2(x-4)^2+5
Answer:
Step-by-step explanation:
Answer:
It's a parabola opening up from the vertex (4,5) and intercepts the y-axis at (0,37)
Solve the system of equations
negative x plus 2 y equals 2
minus x plus y equals negative 1
Answer:
Www
Step-by-step explanation:
Answer:
×2y aquel 2minus ×plus y equals negative1
What is 285 - 15?
17
28
19
21
Please help quickly thanks
Answer:
19
Step-by-step explanation:
Plz help would be a life saver