Step-by-step explanation:
Before we find the ninth term, we need to find the common ratio. The common ratio in a geometric sequence is the number that every number after the first one is multiplied by. For example, in the sequence {2, 4, 8, 16, 32, ...}, the common ratio is 2.
Now, for our example, the numbers in the sequence alternate between negative and positive numbers. What does that tell us about the common ratio? Well, the common ratio has to be negative because the negative sign keeps alternating.
So we know the common ratio is negative. But what about the rest of the number? Well, we can see that the ratio has a 1 in the numerator because the numerator is the same throughout the sequence (aside from the alternating negative sign).
Now that we've narrowed down the possibilities to -1/x, let's figure out the denominator of the common ratio. The denominator changes from 3 to 9 to 27 to 81. Do you see a pattern there? Each denominator is 3 times the value of the previous denominator. The denominator of the common ratio, then, must be 3.
Ok. We have our common ratio, -1/3, but the question we still need to find the 9th term in the sequence. Well, we can write out the pattern until we get to the term we want. But what if you were trying to find the one hundredth or the one thousandth term? That would take a very long time to write out. Instead, we can take the first number in the sequence (1/3) and multiply it by the our common factor to the power of the remaining terms. As a formula, this looks like: [tex]a_{1} *f^{n-1} = a_{n}[/tex], where a is your first term, f is your common factor and n is the number of the term you are trying to find.
So, finally, we can solve the problem.
1/3 * (-1/3)⁸ = a₉
1/3 * 1/6561 = 1/19683
So the value of the ninth term of the given geometric sequence is 1/19683.
I hope you learned something and it wasn't too difficult to understand.
Answer:
^^ what he said xD
Step-by-step explanation:
It was snowing again and I smiled as I stared at the white flakes fluttering by my window. It was (capitalized the C)Christmas, and my day had been one of the best all year. First I (had removed) awakened in the morning to the sound of my brother (added the n to runing)running madly around the house, yelling that it was Christmas. Jumping out of bed, (capitalized the i that was there)I skipped happily down the stairs, with my brother at my heels, and made my way to the Christmas tree in the living room. My parents(apostrophe removed from between the t and s) groggily walked down the stairs to watch us open (up removed) our presents. My Mom sat down on the couch and dad plopped himself on the floor, grumbling something about coffee. I started opening my presents because, after all, its ladies first. Ripping open the wrapping paper, I stared down at my brand(removed dash)new pink boom box. It was beautiful!(question mark changed to exclamation) (capitalized e)Even more, it came with little, stick-on jewels to decorate the boom box. Mom and Dad finally got their coffee and we all took turns watching each other open presents. I got(get turned to got) many more presents that were absolutely amazing. (changed every one into one word)Everyone spends the rest of the day admiring their gifts and playing with their new toys. "I will remember this Christmas forever,"(added endnote) I thought. (capitalized s)Sighing contentedly, I finally turned away from the snow (removed the e from what was danceing)dancing outside the window and rejoined my family.
Help!!! Which of the following best describes abc?
Answer:
Inscribed Angle (A)
Step-by-step explanation:
in geometry, an inscribed angle is the angle formed in the interior of a circle when two secant lines (or, in a degenerate case, when one secant line and one tangent line of that circle) intersect on the circle. It can also be defined as the angle subtended at a point on the circle by two given points on the circle.
how are trapizods and recangles the same
Answer:
Yes, but no
Step-by-step explanation:
So the trapezoid is a quadrilateral because it has four sides. ... A rectangle can also be termed as trapezoid as its one pair of opposite is parallel and equal. On the other hand a trapezoid may not have all its internal four angles as right angles but a rectangle must have all its angles as right angles.
Hope this helps you
Using the measurements given below, find the hypotenuse of the triangle.
Leg = 20 units
Leg = 21 units
400 units
841 units
29 units pleaseee hurry up its in a test im taking rn
Answer:
In the triangle shown, AB = 11, BC = 61. Find AC. Right Triangle ABC v2. 3,600; 3,842; 60; 62. 4. Using the following measurements, find the length of the leg of the right triangle. leg = 5
Step-by-step explanation:
Not sure if that's helpful, but hope it is.
Mr. Smith tells you that a right triangle has a hypotenuse of 19 and a leg of 10. He asks you to find the other leg of the triangle. What is your answer?
Answer: Since it is not a perfect square my answer is the square root of 261 or 16.16 which is rounded to the nearest hundredth.
Step-by-step explanation:
10^2 + b^2 = 19^2
100 + b^2 = 361
-100 -100
b^2 = 261
b= [tex]\sqrt{261}[/tex]
Ms. Redmon gave her theater students an assignment to memorize a dramatic monologue to present to the rest of the class. The graph shows the times, rounded to the nearest half minute, of the first 10 monologues presented.
A number line going from 0.5 to 5. 0 dots are above 0.5 0 dots are above 1. 2 dots area above 1.5. 1 dot is above 2. 3 dots are above 2.5. 1 dot is above 3. 2 dots are above 3.5. 1 dot is above 4. 0 dots are above 2.5. 0 dots are above 5.
The next student presents a monologue that is about 0.5 minutes long. What effect will this have on the graph?
A. The median will decrease.
B. The mean will decrease.
C.The median will increase.
D. The mean will increase.
Let's see if we can recreate the histogram from the description.
Time count
0.5 0
1 0
1.5 2
2 1
2.5 3
3 1
3.5 2
4 1
4.5 0
5 0
The mean is between 2.5 and 3 so that will definitely decrease with a data point that's less that that, as 0.5 is.
For 10 data points the median is the average of the 5th and 6th when sorted, and those are both 2.5. When the new point is added the median will be the 6th of 11 points, still 2.5 in this story.
Answer: B the mean will decrease
Answer:
B
Step-by-step explanation:
This is because the mean will decrease
two consecutive negative integers have a product of 110 . what are the integers?
Just need help with question A
Answer:
Y = 0
Step-by-step explanation:
Y = -1/2 x²
To find y-intercept, substitute X = 0
Solve the equation for y
Y = 0
Find n so that (4/5)^3 × (4/5)^-6 = (4/5)^2n-1
Answer:
n= 4725 /1024
Step-by-step explanation:
PLZ HELP 100 POINTS AND DONT BE MEAN
Answer:
Full drum 80 dollars
one lid missing
earn 10 dollars less
Step-by-step explanation:
We need to find the surface area
SA = 2 pi r^2 + 2 pi rh
The diameter is 2 so the radius = 2/2 =1
SA = 2 * pi * 1^2 + 2 * pi * 1 * 3
= 2 pi + 6pi
= 8pi
Using pi = 3.14
SA = 8 *3.14 = 25.12 ft^2
We get 3.18 per ft^2
25.12 * 3.18 =79.88
To the nearest dollar
80 dollars
If one of the lids is missing
SA = pi r^2 + 2 pi rh
pi + 6pi
7 pi
Using pi = 3.14
SA = 7 *3.14 = 21.98 ft^2
We get 3.18 per ft^2
21.98 * 3.18 =69.90
To the nearest dollar
70
The difference is 10 dollars
Answer:
[tex]\Huge \boxed{\mathrm{a) \ \$ \ 80}} \\\\\\\\ \Huge \boxed{\mathrm{b) \ \$ \ 10}}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
Surface area of the cylinder :
2πr² + 2πrh
The diameter is 2 ft, so the radius is 1 ft.
⇒ 2π(1)² + 2π(1)(3)
⇒ 8π ≈ 25.13
$3.18 is getting payed per square foot.
⇒ 25.13 × 3.18
⇒ 79.9221171073 ≈ 80
If the lid was missing:
πr² + 2πrh
π(1)² + 2π(1)(3)
7π ≈ 21.99
$3.18 is getting payed per square foot.
⇒ 21.99 × 3.18
⇒ 69.9318524689 ≈ 70
The difference :
80 - 70 = 10
$10 less if the lid is missing.
[tex]\rule[225]{225}{2}[/tex]
Use the figure below to complete the following problem Given : R,S,T are midpoints of AC, AB, and CB.
Answer:
RT || AB
Step-by-step explanation:
The answer to your question is that segment RT is parallel to AB.
And for those of you who encounter AB || ?
The answer is RT.
Both questions are rewrites.
RT || AB if R and T are the midpoints of AC and BC. Then the correct option is C.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
R, S, and T are midpoints of AC, AB, and CB.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
A line is parallel to the right side if it divides any two triangles sides in a similar ratio.
RT || AB if R and T are the midpoints of AC and BC. Then the correct option is C.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ5
What is the base of a triangle that has an area of 60 square centimeters and a height of 8 centimeters?
A 7.5 cm
B 30 cm
C 52 cm
D 15 cm
Answer:
I think its (A)
Step-by-step explanation:
To find the area you have to multiply (b*w)*h
and if the area is 60 you just have to divide by the height to get the base area.
60/8=7.5
Hope this helps :3
Bus leaves 9:30a.m.The journey takes 26h 20 min. What time will they arrive
Answer:
They will arrive at 11:50 am the next day
Step-by-step explanation: 24 hours is a day so add 2 hours and 20 minutes
Answer:
11:50 a.m.
Step-by-step explanation:
Can ya help me on this ??! I need this for today i’ll fr cashapp you money the instant that you do this like im mad desperate !!!
Answer:
En la imagen te la dejo jajaa
can someone please help me with this?
Answer:
13) 13.7 14) 78.3 cm
Step-by-step explanation:
13) 6²+x²=15²
x = 13.7
14) 2πr/2 = 2(3.14)(5.5)/2 = 17.3
25 + 11 + 25 + 17.3 = 78.3 cm
Connie started with___
in her saving account
Fill in the blank
Answer:
Connie started with $25 in her savings account.
Step-by-step explanation:
The y-intercept is the value of the function at time zero.
At x = 0, which is week zero, when Connie opened the account, the y value is 25. That means she opened the account with $25.
Answer: $25
Answer:
25
Step-by-step explanation:
Need your help Plz help me
Answer:
c
Step-by-step explanation:
Answer:
C. -0.6
Step-by-step explanation:
-2.1-x=-1.5
-x=0.6
x=-0.6
7. A shopkeeper can buy 36 toys for $20.52. What will he pay for 120 toys
Step by step explansion
__________________________________
Hey!!!
Solution,
Cost of 36 toys=$ 20.52
Cost of 1 toy=20.52/36
=$0.57
Now,
Cost of 120 toys= 0.57*120
=$68.4
hope it helps
Good luck on your assignment
______________________________
Answer:
$68.4
Step-by-step explanation:
Let x represent the required cost.
Since the cost is directly proportional to the number of toys:
x : 20.52 = 120 : 36
i.e. x/20.52 = 120/36
x = [tex]\frac{120 * 20.52}{36}[/tex]
x = 10 * 6.84
x = 68.4
∴ The cost is $68.4.
Hope this helps!!
A=1/2(b1+b2)h What are equivalent equations
Answer:
b1 + b2
A = ------------- * h
2
Step-by-step explanation:
What you have here is fine as is, except that the "1/2" should be enclosed in parentheses:
A = (1/2)(b1 + b2)h.
Alternatively, write:
b1 + b2
A = ------------- * h
2
Triangle ABC has vertices at A(-4, -2), B(1, 7) and C(8, -2)
A) Determine the exact value of the area of Triangle ABC.
B) Determine the perimeter of Triangle ABC to the nearest tenth.
Answer:
a). Area = 54 square units
b). Perimeter = 33.7 units
Step-by-step explanation:
Vertices of the triangle ABC are A(-4, -2), B(1, 7) and C(8, -2).
(a). Area of the triangle ABC = [tex]\frac{1}{2}[x_{1}(y_{2}-y_{3})+x_{2}(y_{3}-y_{1})+x_{3}(y_{1}-y_{2})][/tex] (Absolute value)
By substituting the values from the given vertices,
Area = [tex]\frac{1}{2}[(-4)(7+2)+(1)(-2+2)+8(-2-7)][/tex]
= [tex]\frac{1}{2}[-36+0-72][/tex]
= [tex]\frac{1}{2}(-108)[/tex]
= (-54) unit²
Therefore, absolute value of the area = 54 square units
(b). Distance between two vertices (a, b) and (c, d)
d = [tex]\sqrt{(a-c)^{2}+(b-d)^2}[/tex]
AB = [tex]\sqrt{(-4-1)^{2}+(-2-7)^{2}}[/tex]
= [tex]\sqrt{106}[/tex]
= 10.295 units
BC = [tex]\sqrt{(1-8)^2+(7+2)^2}[/tex]
= [tex]\sqrt{130}[/tex]
= 11.402 units
AC = [tex]\sqrt{(-4-8)^2+(-2+2)^2}[/tex]
= 12 units
Perimeter of the triangle = AB + BC + AC = 10.295 + 11.402 + 12
= 33.697
≈ 33.7 units
Find the value of x for which the graph of y = 3x^2 - 8x + 7 achieves its minimum y-value.
Answer:
The y value achieves its minimum at x = 4/3Step-by-step explanation:
Given the graph of y to be 3x² - 8x + 7, to get the value of x for which the graph function achieves its minimum y value, we need to find its turning point first.
At the turning point, dy/dx = 0
Given y = 3x² - 8x + 7
[tex]\frac{dy}{dx} = 6x-8\\ at\ turning\ point\ 6x-8 = 0[/tex]
[tex]6x = 8\\x = \frac{8}{6}\\ x =\frac{4}{3}[/tex]
The y value achieves its minimum at x = 4/3
The population of a country has been increasing for several decades. In 1990, the population was about 233 million people. In 2014, the population was about 291 million people. Determine the percent increase in the country's population during this time period.
Answer:
the answer for this question is increase 24.89%
Step-by-step explanation:
100%= 233 million
? = 291 million
100%/(233×10^6) : x/(291×10^6)
x=[100%×(291×10^6)]/(233×10^6)
x=124.8927039
x=124.89
124.89%-100%=24.89%
(6m^5+3-m^3-4m)-(-m^5+2m^3-4m+6)=
Answer:
Step-by-step explanation:
6m^5-2m^3-m^3-4m+4m+3-6
7m^5-3m^3-3
Answer:
[tex]7m^5-3m^3-3[/tex]
Step-by-step explanation:
[tex](6m^5+3-m^3-4m)-(-m^5+2m^3-4m+6)= \\\\(6m^5+m^5)+(-m^3-2m^3)+(-4m+4m)+3-6= \\\\7m^5-3m^3-3[/tex]
Hope this helps!
Jade has $451.89 in her checking account. After 3 checks, each for the same amount, are deducted from her account, she has $358.92 left in her account.
Assume she makes no other withdrawals or deposits. Which equations represent c, the amount of one check, in dollars? Select three options.
451.89 minus c = 358.92
451.89 minus 3 c = 358.92
358.92 + 3 c = 451.89
358.92 + c + c + c = 451.89
c = 3 (451.89 minus 358.92)
for ed, it should be:
B
C
D
if not, then idk what happened
The equations that represents the amount of one check are:
451.89 minus 3 c = 358.92
358.92 + 3 c = 451.89
358.92 + c + c + c = 451.89
What equation represent the amount of one check?The equation that represents the amount of one check is:
Total amount in the account - total value of 3 checks = amount left
Total amount in the account - amount left = total value of 3 checks
Value of one check = (total amount in the account - amount left) / 3
$451.89 - 3c = $358.93
$451.89 - $358.93 = 3c
($451.89 - $358.93) / 3
To learn more about mathematical equations, please check: https://brainly.com/question/26427570
Which of the following is false?
A a child's age and the height of a child is a positive correlation
B none, since all of the other answer choices are true
C the number of hours a person studies and the numerical score on the
exam is a positive correlation
09
D the speed of a vehicle and the time it takes the vehicle to travel 60
miles is a positive correlation
09
09
Answer:
A
Step-by-step explanation:
A because the height and age are sometimes not proportional or ideal. Some kids don't develop due to health problems for example, which make them look smaller than normal. Other people might a conditions, which makes them grow to tall.
Find the volume of the pyramid.
Answer:
140
Step-by-step explanation:
B=35
1/3 (35)(12)
= 140
2(2.5x+8)=26 help me please!!!
Answer:
x=12/5
Step-by-step explanation:
2(2.5x+8)=26
5x+14=26
5x=12
x=12/5
Answer:
The value of [tex]x[/tex]:
[tex]x = 2[/tex]
Step-by-step explanation:
Solve for [tex]x[/tex]:
[tex]2(2.5x + 8) = 26[/tex]
-Divide both sides by [tex]2[/tex]:
[tex]2(2.5x + 8) = 26[/tex]
[tex]2.5x + 8 = \frac{26}{2}[/tex]
-Divide [tex]26[/tex] by [tex]2[/tex]:
[tex]2.5x + 8 = \frac{26}{2}[/tex]
[tex]2.5x + 8 = 13[/tex]
-Subtract both sides by [tex]8[/tex]:
[tex]2.5x + 8 - 8 = 13 - 8[/tex]
[tex]2.5x = 5[/tex]
-Divide both sides by [tex]2.5[/tex]:
[tex]\frac{2.5x}{2.5} = \frac{5}{2.5}[/tex]
Expand to the form [tex]\frac{5}{2.5} = 2[/tex] by multiplying both the numerator and the denominator by [tex]10[/tex]:
[tex]\frac{5}{2.5} = 2[/tex]
[tex]x = \frac{50}{25}[/tex]
Then, you divide [tex]50[/tex] by [tex]25[/tex]:
[tex]x = \frac{50}{25}[/tex]
[tex]x = 2[/tex]
So, the final answer would be [tex]x = 2[/tex] .
Find the percent increase in volume when 1 foot is added to each dimension of the prism. Round your answer to the nearest tenth of a percent.
Answer:
hi this is my old account
Step-by-step explanation:
11) Type the missing number in this sequence:
49,
43,
37.
31,
19,
13
Sequence is take away 6 each time so the next three terms are....
7
1
-5
Answer:
7
Step-by-step explanation:
act
A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, determine which system of inequality best explains whether the company can build 20 child bikes and 6 adult bikes in the week. (2 points) A: No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 B: No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100 C: Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 D: Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
Answer:
A: No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Step-by-step explanation:
c = child bike
a = adult bike
Child bike requirement:
4 hours build time
4 hours test time
Adult bike requirement:
6 hours build time
4 hours test time
Available Building time per week ≤ 120 hours
Available Testing time per week ≤ 100 hours
Therefore, company's work schedule is;
Building:
4c + 6a ≤ 120
Testing:
4c + 4a ≤ 100
Combined:
4c + 6a ≤ 120 and 4c + 4a ≤ 100
Building 20 Child bike and 6 adult bike in a week:
4(20) + 6(6) ≤ 120 and 4(20) + 4(6) ≤ 100
80 + 36 ≤ 120 - - - - 80 + 24 > 100
Therefore Building 20 Child bike and 6 adult bike in a week is not feasible.
Answer:
Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Step-by-step explanation:
I took the test on FLVS
GUYS PLEASE HELP!!!!! WILL GIVE BRAINLIEST FOR BEST ANSWER!!!!
(a) Consider the following statement:
The dress is yellow.
Check all the statements below that are negations of this statement.
It is not the case that the dress is yellow
The dress is not blue
The dress is multicolored
(b) Consider the following conditional statement:
If Mary is wearing tennis shoes, then Mary has been exercising.
What is the conclusion of this statement?
Mary is not wearing gym shorts
Mary has never exercised
It is not true that Mary is wearing gym shorts
Mary is wearing tennis shoes
Mary has been exercising
Answer:
a) It is not the case that the dress is yellow
a) The dress is multicolored
b) Mary has been exercising
step-by-step explanation:
The saying negates that the dress is yellow and saying the dress is multicolored implies that the dress is not just one color or just yellow.
For part b, the condition is, is Mary wearing tennis shoes. The conclusion then is that Mary has been exercising because she is wearing tennis shoes.
