Answer: 9π≈28.26 squared units
Step-by-step explanation: The distance between the two points, 3 units, is the radius. And then we use that to find the area by squaring and multiplying by pi.
The first term of a geometric sequence is 8 and the fourth term is 216. What is the sum of the first 12 terms of the corresponding series? A. 2,125,760 B. 6,377,288 C. 236,192 D. 708,584
Answer:
2,125,760
Step-by-step explanation:
The first term (a) is 8
The fourth term is 216
Hence the sum of the first 12 term can be calculated as follows
= 8-8(3)^12/1-3
= 8-24^12/-2
= 2,125,760
The sum of first 12 terms is 2,125,760
Sum of the first 12 term = 2,125,760
For geometric sequence,
aₙ = arⁿ⁻¹
where
a = first term
r = common ratio
n = number of terms
Therefore,
a = 8
a₄ = 216
let's find the common ratio
216 = 8 × r⁴⁻¹
216 = 8 × r³
r³ = 216 / 8
r³ = 27
r = [tex]\sqrt[3]{27}[/tex]
r = 3
Let's find sum of the first 12 terms.
Sₙ = a (rⁿ - 1) / r - 1
S₁₂ = 8(3¹² - 1) / 3 - 1
S₁₂ = 8(531440) / 2
S₁₂ = 4251520 / 2
S₁₂ = 2,125,760
read more here: https://brainly.com/question/3498087?referrer=searchResults
Clara visits the aquarium while on vacation. The aquarium is 2 1/2 from her hotel. She walks 1/4 mile to the bus stop, take the bus for 1 3/4 miles, and walks the rest of the way to the aquarium.
Answer:
1/2
Step-by-step explanation:
Maria's fish tank has 17 liters of water in it. She plans to add 5 liters per minute until the tank has more than 52 liters. What are the
possible numbers of minutes Maria could add water?
Use t for the number of minutes.
Write your answer as an inequality solved for t.
Answer:
t < 7
Step-by-step explanation:
52 > 5t + 17
52 - 17 > 5t
35 > 5t
35/5 > t
t < 7
6th grade math plz help
Answer:
The question needs more information but you can see that all the numbers in the 1st column are multiplied by 6 to equal the number in column 2
Step-by-step explanation:
3 x6 =18
6 x 6= 36
9 x6= 54
12 x6 =72
3 feet
5 feet
4 feet
Answer:
Post the question along with this
In the expression 8k + 5. which best describes what 8 represents?
Answer:
it represents a variable
Step-by-step explanation:
The number 8 is the coefficient of the variable k.
What is a coefficient?A coefficient in mathematics is a multiplicative factor in a polynomial term, a series term, or an expression. It is typically a number, but it can also be any expression. They may also be referred to as parameters if the coefficients are variables in and of themselves.
Given that the expression is 8k + 5. In the given expression the number 8 is the coefficient of the given expression.
To know more about coefficient follow
https://brainly.com/question/17469127
#SPJ6
Please help due today:///
28) (-5ưyA +9u) + (-5ư v4 - 8u + 8u²v2)+(-8u*v + 8uº4)=
Answer: good luck
Step-by-step explanation:
50 POINTS!! Please help tysm :) image is attached (sorry about the quality); find the value of x. the answer key says x=10, but I'm not sure how to get there.
please don't put an unrelated answer or just repeat the answer for the points :) I would like a step by step explanation
Answer:
[tex] \: x = 10[/tex]
Step-by-step explanation:
prefer the attachment
according to the question
[tex] \displaystyle \: \frac{6}{17.5-x} = \frac{8 + 6}{17.5} [/tex]
simplify addition:
[tex] \displaystyle \: \frac{6}{17.5-x} = \frac{14}{17.5 } [/tex]
simplify fraction;
[tex] \displaystyle \: \frac{6}{17.5 - x} = 0.8[/tex]
cross multiplication:
[tex]\displaystyle 6 = 14 - 0.8x[/tex]
cancel 14 from both sides:
[tex] \displaystyle - 8= - 0.8x[/tex]
divide both sides by -0.8:
[tex] \therefore \: x = 10[/tex]
Can someone please solve these equations help your boy out no files no links
Answer:
7. 0.50980392
9. 12
10. 50
Please help! Will give Brainliest! SHOW ALL WORK
Factor by grouping:
3x^(3)-6x^(2)+15x-30
the answer would be b on scholar
Answer:
3 (x² + 5) (x - 2)
Step-by-step explanation:
3x³- 6x² + 15x - 30
=> 3 (x³ - 2x² + 5x - 10)
=> 3 [x²(x - 2) + 5 (x - 2)]
=> 3 (x² + 5) (x - 2)
A group of students were asked if they like Math class and if they like English class.
Partial results are shown in the table.
Like Math
Don't Like Math
Like English
х
9
Don't Like English
26
у
.
Of the students who like math, 40% don't like English.
Of the students who don't like math, 75% don't like English
What is the value of x + y?
A. 35
B. 57
C. 65
D. 66
Solve for x, y, and z. Enter the integer that is under each radical.
Answer:
[tex] x=\sqrt{10} [/tex]
[tex] y = \sqrt {14} [/tex]
[tex] z = \sqrt {35} [/tex]
Step-by-step explanation:
By geometric mean theorem:
[tex] x=\sqrt{2\times 5} [/tex]
[tex] x=\sqrt{10} [/tex]
By Pythagoras Theorem:
[tex] y^2 = x^2 + 2^2 [/tex]
[tex] y^2 = (\sqrt{10}) ^2 + 2^2 [/tex]
[tex] y^2 = 10 + 4 [/tex]
[tex] y^2 = 14 [/tex]
[tex] y = \sqrt {14} [/tex]
Again by Pythagoras Theorem:
[tex] z^2 = x^2 + 5^2 [/tex]
[tex] z^2 = (\sqrt{10}) ^2 + 5^2 [/tex]
[tex] z^2 = 10 + 25 [/tex]
[tex] z^2 = 35 [/tex]
[tex] z = \sqrt {35} [/tex]
Please help and thanks
a right angle so 90 degrees
A faraway planet is populated by creatures called Jolos. All Jolos are either
green or purple and either one-headed or two-headed.
Balan, who lives on this planet, does a survey and finds that her colony of 500
contains 100 green, one-headed Jolos: 125 purple, two-headed Jolos; and
270 one headed Jolos.
Answer:
Option B
Step-by-step explanation:
We have to complete the table given in the question,
One headed Two headed Total
Green 100 230 - 125 = 105 105 + 100 = 205
Purple 270 - 100 = 170 125 170 + 125 = 295
Total 270 500 - 270 = 230 500
By analyzing the given table,
Number of green Jolos in Balan's colony = Total of one headed green Jolos and Two headed green Jolos
= 205
Therefore, number of green Jolos in Balan's colony are 205.
Option B will be answer.
Answer:
When you put together the whole chart you will see the total is 205.
Which of the following numbers is not a
rational number?
A. -3
B. 2.7
C. 14
D. 15
Trick question! All are rational numbers.
..................................................................................
can someone help me and explain this?? thanks so much!
Answer:
Step-by-step explanation:
10^7 = 1 and 7 zeros after it.
=> 10000000
please helpppp which function h(x) results when g(x) is translated 7pi/8 units right and one unit down????
Answer:
The second option
Step-by-step explanation:
Kiteretsuki builds a robot to help him paint a fence. The robot has a paint roller of width 1 foot, that works like a ball-point pen, so it has a steady flow of ink. Kiteretsuki sets the robot to work and leaves but doesn't realize that the robot has a programming error.
It paints one foot of the fence from left to right, then stops and paints a foot in the right to left direction. It then starts moving from left to right again, but this time moving two feet instead of one. However, after this, it only moves back to its previous position. The robot carries on in this fashion, increasing its reach by 1 foot every left to right movement and then returning to its previous starting point.
If Kiteretsuki returns after the robot have moved a total of 11 times, how many inches of the fence has the robot painted in that time?
Answer:
72 inches
Step-by-step explanation:
Due to the programming error, the robot first moves to the right and then to the left. The second time it moves to the right, it increases its distance by 1 foot to the right and then turns back and moves to the left, reaching the starting position again.
The patterns is as follows:
move 1: moves to the right by 1 foot.
moves 2: moves to the left.
moves 3: moves to the right by 2 feet.
moves 4: moves to the left
moves 5: moves to the right by 3 feet.d
moves 6: moves to the left
moves 7: moves to the right by 4 feet.
moves 8: moves to the left
moves 9: moves to the right by 5 feet.
moves 10: moves to the left
moves 11: moves to the right by 6 feet.
We see that in the end, the robot has managed to only move 6 ft. Since 1 ft = 12 inches, 6 ft = 6* 12 = 72 ft.
So, the robot has painted 72 inches of the fence before Kiteretsuki returns.
What is the equation of the following line please help
Answer:
C
Step-by-step explanation:
Someone help me please! With 3 and 4
Number 3 please helppppppp 10 points!!!!
Answer:
A. Scores 90 and 95
Step-by-step explanation:
A. works because the pattern makes sense as it is adding by 5.
B. doesn't work because after 85 becomers80 which doesn't make sense since there is 100 on the end so the pattern for the x-axis is adding up.
C. doesn't work because after 90, it becomes, 100 and after that, there is another 100 and the pattern makes no sense.
D. doesn't work because our pattern rule is adding and after the 90 becomes 75 so it is subtracting so it doesn't work.
So our final answer is A.
Answer:
90 and 95
Step-by-step explanation:
look at the dot plot on the very left. it shows two blanks. then in the diagram it shows results of 85, 90, 95, and 100. on the dot plot it has 85 and 100 plotted but is missing 90 and 95.
The compound interest on $4,000 saved for 3 years at an interest rate of 15%.
A = $5,800.00
I = A - P = $1,800.00
hey!
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 15%/100 = 0.15 per year.
Solving our equation:
A = 4000(1 + (0.15 × 3)) = 5800
A = $5,800.00
The total amount accrued, principal plus interest, from simple interest on a principal of $4,000.00 at a rate of 15% per year for 3 years is $5,800.00.
---------------------------------------------
hope i helped in some way..have great day!
Nick is curious about which cell phone provider is most used by his neighbors. He asks several neighbors about their provider and draws a conclusion based on the answers he received. What kind of statistical study did Nick conduct? A. survey B. experiment C. observational study D. theoretical study
Answer:
A. Survey
Step-by-step explanation:
Answer:
Option A. Survey
Step-by-step explanation:
What is survey?
Survey is defined as the act of examining a process or questioning a selected sample of individuals to obtain data about a service, product, or process.
Nick collected samples and then concluded his answer which is a survey he conducted.
Correct answer is Option A.
To know more about survey here.
https://brainly.com/question/27670959
#SPJ2
What is 1/2 ( f - 10 ) when f= 16
PLEASE HELP ME!!!! In each diagram AB is tangent to C at B. Find the value of x.
What will be the 50th term in the sequence defined by an = -11 +5(n − 1)?
Answer:
234
Step-by-step explanation:
Simplify the expression. an=5n-16. Substitute 50 for n. 5(50)-16= 250-16=234
For problems like this, simplifying the equation helps.
Choose two things that a rigid motion preserves.
Two things that a rigid motion preserves are: length and angle.
The two things that a rigid motion preserves are:
1. Length: A rigid motion preserves the length of objects. This means that the distances between points or the lengths of line segments remain the same after the rigid motion is applied.
For example, if you have a line segment AB of length 5 units, a rigid motion such as translation, rotation, or reflection will not change the length of AB.
2. Angle: A rigid motion preserves angles between lines or line segments. This means that the measure of an angle remains the same after a rigid motion is applied.
For example, if you have an angle ABC with a measure of 60 degrees, a rigid motion will not change the measure of angle ABC.
Learn more about Rigid motion here:
https://brainly.com/question/19675883
#SPJ6
Which one would result an integer
Answer:
c is the only one that would result in an integer
Step-by-step explanation:
i hope this helps :)
Option c ∛ 27 would result in an integer.
what are integers?An integer is the number zero, a positive natural number or a negative integer with a minus sign. The negative numbers are the additive inverses of the corresponding positive numbers.
Given here, ∛27= 3 while the other options ∛60 is not an integer because 60 is not cubic number similarly for 9 , 18 are not cubic numbers and thus their subsequent cubic roots will not yield an integer.
Hence, Option c ∛ 27 would result in an integer.
Learn more about integers here:
https://brainly.com/question/15276410
#SPJ2
Avery signed up for a streaming music service where there's a fixed cost for monthly
membership and a cost per song downloaded. Her total cost is given by the linear
graph below. What is the meaning of the point (1,9.24)?
Answer:the answer might be C or B
Step-by-step explanation:
The given ordered pair (1,9.24) represents the ordered pair represents the monthly cost of one song. Option C is correct.
Given that,
Avery signed up for a streaming music service where there's a fixed cost for a monthly membership and a cost per song downloaded. Her total cost is given by the linear graph.
The graph is a demonstration of curves that gives the relationship between the x and y-axis.
Here,
According to the question,
9.24 is the total cost marked on the y axis so corresponding to this the value of x is 1 which represents the number of song,
So the given ordered pair describe that the cost of one song per month is $9.24.
Thus, the given ordered pair (1,9.24) represents the ordered pair represents the monthly cost of one song. Option C is correct.
Learn more about graphs here:
brainly.com/question/16608196
#SPJ2