Hello there!
Given the sequence:
[tex] \displaystyle \large{ 1, - 3,9, - 27,...}[/tex]
The question reveals it to be geometric sequence since it has common ratio.
Geometric Sequence / Ratio Formula
[tex] \displaystyle \large{r = \frac{a_{n + 1}}{a_n} }[/tex]
Define 'r' as common ratio.
First, let's check the common ratio by using the formula above.
Ratio Check
[tex] \displaystyle \large{r = \frac{ - 3}{1} \longrightarrow - 3 } \\ \displaystyle \large{r = \frac{ 9}{ - 3} \longrightarrow - 3 } \\ \displaystyle \large{r = \frac{ - 27}{9} \longrightarrow - 3 }[/tex]
Therefore, the common ratio or r-value is -3.
To find the 7th term of sequence, you can by using the General Geometric Terms.
General Term of Geometric
[tex] \displaystyle \large{a_n = a_1 {r}^{n - 1} }[/tex]
a1 is defined as the first term of sequence.
r is common ratio.
n is the term.
Since we want to find 7th term:
a1 = 1r = -3n = 7[tex] \displaystyle \large{a_7 =1{( - 3)}^{7 - 1} } \\ \displaystyle \large{a_7 =1{( - 3)}^{6} } \\ \displaystyle \large{a_7 =729 }[/tex]
Therefore, the 7th term of this sequence is 729.
Let me know if you have any questions!
Topic: Sequence and Series / Geometric Sequence
Members of a baseball team raised $1781.25 to go to a tournament. They rented a bus for $1063.50 and budgeted $65.25 per player for meals. Write and solve an equation which can be used to determine x x, the number of players the team can bring to the tournament.
Answer:x=11
65.25x + 1063.50= 1781.25
To solve this equation, subtract the rental cost of the bus to get $717.75.
Now the equation should be 65.25x= 717.75
Divide both sides by 65.25, and you should get that x = 11. That’s your finally answer!
Step-by-step explanation:
Latisha’s friend Brandee forgot to make up a test and had these scores: 80%, 92%, 91%, ,75% ,89% ,84% ,0% and . 85% Homework Help ✎
Calculate Brandee’s mean. (Refer to the glossary in the eBook if you do not remember how to do this.) Does this average score really represent her abilities? Why or why not?
Brandee persuaded her teacher, Ms. Juarez, to allow her to make up the missed test. Brandee received a . Calculate her new mean.
What difference did the score make? Does this new mean represent Brandee’s ability more accurately?
Using mean and outlier concepts, it is found that:
Brandee's mean was of 74.5, which doesn't really represent her abilities, as in 7 of the 8 tests she got higher grades than this, but her mean is really affected by the outlier grade of 0%, for the test she missed.Brandee's new mean will be of 85.75, which increases her final grade by 11.25 points, and is a more accurate representation of her abilities, as there is not an outlier grade.--------------------------
The mean of a data-set is the sum of all it's values divided by the number of values.In this question, the data-set is Brandee's grades, that is: 80%, 92%, 91%, ,75% ,89% ,84% ,0% and 85%.--------------------------
There are 8 grades.Thus, the mean is:
[tex]M = \frac{80 + 92 + 91 + 75 + 89 + 84 + 0 + 85}{8} = 74.5[/tex]
Brandee's mean was of 74.5, which doesn't really represent her abilities, as in 7 of the 8 tests she got higher grades than this, but her mean is really affected by the outlier grade of 0%, for the test she missed.
--------------------------
Supposing her grade on the make up test was of 90%, the new mean will be of:[tex]M = \frac{80 + 92 + 91 + 75 + 89 + 84 + 90 + 85}{8} = 85.75[/tex]
Brandee's new mean will be of 85.75, which increases her final grade by 11.25 points, and is a more accurate representation of her abilities, as there is not an outlier grade.
A similar problem is given at https://brainly.com/question/24097242
Simplify completely:
Show all work for full credit.
Answer:
[tex]3 {x}^{3} [/tex]
Step-by-step explanation:
[tex]( \frac{81 {x}^{12} }{3 {x}^{3} } {)}^{ \frac{1}{3} } [/tex]
[tex]( \frac{27 {x}^{12} }{ {x}^{3} } {)}^{ \frac{1}{3} } = (27 {x}^{9} {)}^{ \frac{1}{3} } [/tex]
[tex] \sqrt[3]{27 {x}^{9} } [/tex]
[tex] = 3 {x}^{3} [/tex]
divide (8x²-19x+6) ÷ (x-2)
PLEASEEEE HELP ME
1.
Name a line that contains point E.
2.
Name a line that contains points C and D.
3.
What is another name for line j?
4.
Name a point not on line DF.
5.
What is the intersection of BE and CF ?
-
6.
Name a point not on BE or CF.
7.
What is another name for plane BDF?
8.
Line jintersects line BE at which point?
9. Name three collinear points.
10. Name three noncollinear points.
11. What point is between points C and F?
12. Name a pair of opposite rays.
Answer:
1- BE
2- CF
3 - AD
4 - B
5 -
6 - A
7- S
8- D
9- CDF / BDE
10 - C B A
11 - D
12 -DC / DF
i
buy
book for $8,i
sell it for
$ 3.25.
How much
of
loss
do
i
make ?
Answer:
Loss = $ 4.75
Step-by-step explanation:
Loss = cost price -selling price
You bought a book will be cost price and when u r selling it it will be selling price
loss = 8-3.25
= 4.75
Loss = $ 4.75
Answer:
4.75
Step-by-step explanation:
Subtract the two numbers:
8.00-3.25
doing the math you will get $4.75
So the money that wasn't made up for is, $4.75
The metric system is based on powers of 10. For example, one kilometer is equal to
1,000 meters or 103 meters. Write each measurement in meters as a power of 10.
a. hectometer (100 meters)
b. megameter (1,000,000 meters)
c. gigameter (1,000,000,000 meters)
d. petameter (1,000,000,000,000,000 meters)
Step-by-step explanation:
1000 meters is 10³ meters (just to correct the typo).
a. 100 meters = 10² meters
b. 1000000 meters = 10⁶ meters
c. 1000000000 meters = 10⁹ meters
d. 1000000000000000 meters = 10¹⁵ meters
in other words, the exponents are simply counting the numbers of zeros.
The expression “5 factoral” equals:?
Answers-
125
120
25
10
Need help ASAP
Answer:
120
hope it helps!!
Ratio of red marbles to blue marbles is 2:3. If there are 6 red marbles, how many blue marbles are there
Answer:
6:9
Step-by-step explanation:
Lets assume the relationship between the amount of blue and red marbles are proportional. If there are 6 red marbles , then we would need need to find out how much times you multiplied 2 by to get.
6/2 is 3, which means that you multiplied the red marbles by 3 to get 6 of them.
Since the relationship between red and blue marbles is equivalent, we just need to multiply the blue marbles by 3 as well, to even it out.
3x3=9
There are 9 blue marbles if there are 6 red marbles.
x
---- = 60
-9
Solving for "x".
[tex]\large\bf\red{ \longrightarrow} \rm \: \frac{x}{ - 9 \: \: \: } \: = \: 60 \\ [/tex]
[tex]\large\bf\red{ \longrightarrow} \rm \:x \: = \: - 9 \: \times \: 60[/tex]
[tex]\large\bf\red{ \longrightarrow} \rm \:x \: = \: - 540[/tex]
can you figure out what 2x° equals and (90-x)°
Answer:
x = 30
Step-by-step explanation:
The given angles are alternate which means their measurement is equal to each other so we can use the following equation to determine the value of x
2x = 90-x send x to the other side of the equation
2x + x = 90
3x = 90 divide both sides by 3
x = 30
WORTH 20 POINTS
Write an algebraic expression
Eight less than x, times the sum of x and four
Mike,nancy,tim and sara each have eights-four basketball cards how many dozen basketball cards do they have in all
Answer:
28 dozen.
Step-by-step explanation:
84 = 7*12 = 7 dozen.
4 * 7 = 28.
How many integers have absolute value equal to 3
Answer:
There are 2 integers, which absolute value are 3. -3 and 3 itself
Step-by-step explanation:
|-3| = 3 and |3| = 3 to
Answer:
2 integers at a time will be able to have the same absolute value. This is because integer can be both positive and negative, while absolute value always remains positive:
The absolute value of both 2 and (-2) is 2.
Simplify the expression: 63(13−18)+24÷6
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
63 (13 - 18) + 24 ÷ 6[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex] \sf63 ( 13 - 18 ) + 24 \div 6[/tex]
Subtract 18 from 13 to get -5.
[tex] \sf \: 63\left(-5\right)+\frac{24}{6} \\ [/tex]
Multiply 63 and -5 to get -315.
[tex] \sf-315+\frac{24}{6} \\ [/tex]
Divide 24 by 6 to get 4.
[tex] \sf-315+4 [/tex]
Add -315 and 4 to get -311.
[tex] \boxed {\boxed{ \boxed{ \mathfrak{-311 }}}}[/tex]
Hey there!
63 (13 - 18) + 24 ÷ 6
= 63 × -5 + 4
= -315 + 4
= -311
Hope it helps ya!
Superman bought two leggings for $25.80 each at KryptonCromie. How much did he spend?
Answer:
51.6
Step-by-step explanation:
$25.80 + $25.80 =
OR
25.80 x 2.
Answer $51.6
Step-by-step explanation:
because 25.80+25.80 is...$51.6
Help me with this notation math.
[tex]\\ \sf\longmapsto \left(\dfrac{3}{4}\right)^2\times \left(\dfrac{1}{4}\right)^{-2}[/tex]
[tex]\\ \sf\longmapsto \dfrac{3^2}{4^2}\times 4^2[/tex]
[tex]\\ \sf\longmapsto 3^2[/tex]
[tex]\\ \sf\longmapsto 9[/tex]
Sally recorded these amounts in her checkbook:
-$6.25, $6.95,-$6.45, $6.50. Order these amounts
rom least to greatest.
A 6.25, 6.95, 6.45, 6.50
B -6.25,-6.45, 6.50, 6.95
C 6.95, 6.50,-6.25,-6.45
D -6.45,-6.25, 6.50,6.95
Answer:
The answer would be D because anything that is low and goes behind a zero is greater
Step-by-step explanation:
in functions do you turn the fractions into decimals?
Step-by-step explanation:
just divide the top by the bottom- divide the numerator by the denominator. and If the division doesn't come out evenly you can stop. I don't know the exact answer but this might help a little bit.
please help me for my mathematics class, thank you
5x - 3
11. 2x
Р
M
о
Identify the segment bisector
of PQ.
A. ML
С
B. Mi
C. line 7
D. Mi
Find PQ.
A. PQ = 4
B B. PQ = 2
C. PQ = 7
D. PQ = 14
PQ is bisected by line L.
so the answer is C
PQ=14
Step-by-step explanation:
5x-3=11-2x
5x+2x=11+3
7x=14
x=2
replace X in any of the given distance equation then multiply by 2 since the distance Pm=Qm
PQ=2(11-2x)
2(11-2(2))
2(7)
Therefore PQ=14
Three friends tayo, titi and tunde shared a quantity of walnuts in the ratio 3: 4: 5 . If tayo got 21 walnuts, how many did titi get
please help i have no idea what to do i was absent the first week of school.
Answer:
1. Center of rotation is (0,0), the origin. And you can label the green triangle's points PQR. it doesn't matter where you start just put P, Q, & R on each points of the green triangle
2. Reflection line is y = 0. And you can label the red triangle's points XYZ. it doesn't matter where you start just put X, Y, & Z on each points of the red triangle
Catch up with school before it's too late!
..The total of Joshua's savings and $350 is $925.
Please help
Answer:
Joshua's Savings = $575
Step-by-step explanation:
If the total amount is $925 and you added $350 to x (Josh's Savings) than all we have to do is subtract the $350 from the $920 to solve for x,...
$925 - $350 = $575
Joshua's Savings is equal to $575 dollars,...
Hope that helps,... Chow,...!
what is 2t+10t-6t equaled to
6t
Step-by-step explanation:
The length of a rectangle is 10 cm more than 3 times the width. The perimeter is 180. What are the dimensions?
what would be the absolute deviation of 5,18,6,18,13?
HELP PLS I WILL MARK U BRAINLIEST
Answer:
The domain is[ -3, ♾)
Step-by-step explanation:
The graph above shows the graph of it parent function,
[tex]y = \sqrt{x} [/tex]
It includes x=0 because 0 is a perfect square.
Now consider the transformed function
[tex] \sqrt{x + 3} [/tex]
There is two ways to solve this:
Way#1. Algebra.
Remeber that we can't take the square root of a negative number.
(i.e We can but it isn't graphable on a Cartesian coordinate plane).
We can take the square root of 0 so we must set the number in the radical equal to 0.
[tex]x + 3 = 0[/tex]
[tex]x = - 3[/tex]
We include the point at x=-3, so we put a [ in front of -3. This number can accept any number as we approach positive infinity. So the domain is
♾)
When eating out, it is customary to tip your server at least 15% of the cost of your meal. The graph shows a 15% tip, t, for a meal that costs m dollars.
Each of the following sets of numbers represents dollars. Assuming the graph is correct, which set of numbers is most appropriate to label the seven tick marks along the vertical axis (15% tip)?
Question 5 options:
15, 30, 45, 60, 75, 90, 105
1.50, 3, 4.50, 6, 7.50, 9, 10.50
5, 10, 15, 20, 25, 30, 35
10, 20, 30, 40, 50, 60, 70
Answer:
1.50, 3, 4.50, 6, 7.50, 9, 10.50
Step-by-step explanation:
The x axis represents the amount of money the meal (without tip) costs.
The question is asking what numbers should label the tick marks on the y-axis given that we are assuming a 15% tip.
So the question is really easy to solve. We see our first point is at (1,1) on the coordinate plane which has the meal costing $10. All you have to do to find the tip is to multiply $10 x (0.15%) = 1.50...
So 1.50 should label the first tick mark on the y-axis. You can do the same for all of the numbers. But only one answer choice gives 1.50 as an option, so answer choice 'C' is correct!
Hope this helps, let me know if you need further or better explanations!
The set of numbers is most appropriate to label the seven tick marks along the vertical axis 1.50, 3, 4.50, 6, 7.50, 9, 10.50. The correct option is B.
What is graphical representation?The term "graphical representation" refers to the use of charts and graphs to visually display, understand, and explain numerical data, functions, and relationships.
The x-axis represents the amount of money the meal (without tip) costs. The question is asking what numbers should label the tick marks on the y-axis given that we are assuming a 15% tip.
The question is really easy to solve. We see our first point is at (1,1) on the coordinate plane which has the meal costing $10. All you have to do to find the tip is to multiply $10 x (0.15%) = 1.50.
Then 1.50 should label the first tick mark on the y-axis. You can do the same for all of the numbers. But only one answer choice gives 1.50 as an option, so answer choice 'C' is correct.
Therefore, the set of numbers is most appropriate to label the seven tick marks along the vertical axis 1.50, 3, 4.50, 6, 7.50, 9, 10.50. The correct option is B.
To know more about graphical representation follow
https://brainly.com/question/24204967
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Indicate the method you would use to prove the two A's =. If no method applies, enter "none".
O ASA
O AAS
A
• None
•
SSS
O SAS
Answer:
SSS is used
Step-by-step explanation:
mark me as brainliest ❤️
The triangles are congruent with SSS postulates. Then the correct option is D.
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°.
Two triangles are shown.
The SSS postulate is one of the ways to prove that two triangles are congruent. SSS stands for "side-side-side," and it states that if three sides of one triangle are congruent to the corresponding sides of another triangle, then the two triangles are congruent.
The corresponding sides of the triangle will be equal. Then the triangles are congruent with SSS postulates.
Thus, the correct option is D.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ7
