Answers
Answer:
0.0082
Step-by-step explanation:
The n th term of a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = - 2 and r = - [tex]\frac{1}{3}[/tex] , thus
[tex]a_{6}[/tex] = - 2 [tex](-\frac{1}{3}) ^{5}[/tex] = - 2 × - [tex]\frac{1}{243}[/tex] = [tex]\frac{2}{243}[/tex] ≈ 0.0082 ( nearest ten- thousandth )
Related Questions
Yesterday, the price of a gallon of gas at five gas stations was $3.72, $3.87, $3.78, $4.09, and $3.989, respectively, but today each gas station raised its price by $0.08. What is today's mean price of a gallon of gas at the five stations?
A. 3.97
B. 4.05
C. 3.89
D. 3.81
Answers
Answer:
Option (A) 3.97.
Step-by-step explanation:
Price for one gallon of gas in gas station 1 = $3.72 (Yesterday)
Price for one gallon of gas in gas station 2 = $3.87 (Yesterday)
Price for one gallon of gas in gas station 3 = $3.78 (Yesterday)
Price for one gallon of gas in gas station 4 = $4.09 (Yesterday)
Price for one gallon of gas in gas station 5 = $3.989 (Yesterday)
Prise raised by each gas station Today = $0.08
Price for one gallon of gas in gas station 1 = $3.72 + $0.08
= $3.80 (Today)
Price for one gallon of gas in gas station 2 = $3.87 + $0.08
= $3.95 (Today)
Price for one gallon of gas in gas station 3 = $3.78 + $0.08
= $3.86 (Today)
Price for one gallon of gas in gas station 4 = $4.09 + $0.08
= $4.17 (Today)
Price for one gallon of gas in gas station 5 = $3.989 + $0.08
= $4.069 (Today)
Mean = Sum of the Terms Number of Terms / Total Number of Terms
= $3.80 + $3.95 + $3.86 + $4.17 + $4.069 / 5
= 19.849 / 5
= 3.9694
= 3.97 (Approximately)
As we can see that the Option (A) 3.97 correctly matches the answer.
So the correct answer is Option (A) 3.97.
Want the basics of mean?
Visit —
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Mark BRAINLIEST
The base diameter and the height of a cone are both equal to x units. Which v expression represents the volume of the cone, in cubic units? Piex^2 2piex^2 1/3 pie x^2 1/12 pie x^2. Edgu
Answers
Answer:
1/12piX^3
Step-by-step explanation:
Find the volume of the rectangular prism.
Formula: V = lwh
A.
84 m cubed
C.
72 m cubed
B.
89 m cubed
D.
92 m cubed
Answers
Answer:
84m³ (A) should be correct
Answer:
A
Step-by-step explanation:
Volume = length × width × height
= 7 × 4 × 3
= 84 m²
Joseph's company offers a reimbursement package of $0.45 per mile plus
$175 a year for maintenance. If x represents the number of miles, which
equation below models C the total amount of reimbursement the company
offers?
•A. C = 0.45 + 175x
•B. C = 0.45x + 175
•C. C = 45 + 175x
•D. C = 45x + 175
Answers
Answer:
B
Step-by-step explanation:
175 is the yearly cost which is the constant
The cost is related to the miles so that’s why they’re multiplied together
The total amount of reimbursement the company offers will be C = 0.45x + 175. Then the correct option is B.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Joseph's company offers a reimbursement package of $0.45 per mile plus $175 a year for maintenance.
Let 'x' be the number of miles and 'C' be the number total amount. Then the equation of the line is given as,
C = 0.45x + 175
The total amount of reimbursement the company offers will be C = 0.45x + 175. Then the correct option is B.
More about the linear equation link is given below.
https://brainly.com/question/11897796
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Use the data in the table to complete the statements.
Let x be the number of years since 1990. The year
2005 corresponds to an x-value of
The function that best models the data, with numerical
values rounded to the nearest hundredth, is f(x) =
x + 22.08.
Models have their limitations. For which year would this
model not make sense to use?
Answers
Answer:
Answer 1: 15
Answer 2: 11.55
Answer 3: 1985
Step-by-step explanation:
its the answers on edge 2020
round off each of the following to 2 decimal places.
Answers
0.6
231.4
325.4
185.9
520.8
2154.8
1769.5
1259.8
127.821
What is the measure of AngleJHN? 25° 45° 50° 95°
Answers
Answer:
95 is the answer!
The measure of the angle ∠JHN will be 45°. Then the correct option is B.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.
Vertically opposite angle - When two lines intersect, then their opposite angles are equal.
Angle ∠MHL and angle ∠JHK are equal because the angles are opposite angles.
∠MHL = ∠JHK
3x + 20 = x + 20 + x + 25
x = 25
Then the measure of the angle ∠JHN is calculated as,
∠JHN = x + 20
∠JHN = 25 + 20
∠JHN = 45°
The measure of the angle ∠JHN will be 45°. Then the correct option is B.
More about the angled link is given below.
https://brainly.com/question/15767203
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The missing diagram is given below.
36 is 8 3/4% of what number?
Answers
Answer:
28.8 or 28 8/10
Step-by-step explanation:
A percentage is out of 100. We have to convert 8 3/4 into a percentage. 8 3/4 can also be written as an improper fraction 35/4. Now we have to make the denominator 100. We already knoe that 4 multiplied by 25 equals 100, then we do the same to the numerator. 35 multiplied by 25 gets us to 125. Now we got 125/100. Now since we converted the fracrion into a percentage, now what we do is divide 36 by 125% and that will get you to 28.8 or 28 8/10.
To double check your answer, you can multiply 28.8 by 125% and you will get 36.
In 1925, the population of a city was 90,000. Its
population increases by 2.1% per year. What will the population be in 2020?
Answers
Answer:
17,955,000
Step-by-step explanation:
Answer:
闭嘴黑鬼
Step-by-step explanation:
PLEASE HELP!!
The figure is made up of a rectangle and 2 right triangles.
What is the area of the figure?
O 1259 units2
O 1292 units2
O 1413 units2
O 1566 units2
Answers
The rectangle is 28×34 and the two triangles are (1/2) 11 (28) and (1/2) (9)(34)
A = 28(34) + (1/2) 11 (28) + (1/2) (9)(34)
A = 1259
Answer: 1259 sq units
Oscar and Stella go birdwatching. Oscar sees 7 birds. Stella sees 28 birds. How many times as many birds as Oscar does Stella See? Which bar model represents the problem???
Answers
Answer:
4 times as many birds
Step-by-step explanation:
28 divided by 7 = 4
Answer:
it will be 4
Step-by-step explanation:
because, i divied 28 by 7 = 4
NEEED HELP NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
C
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Which expression is equivalent to ? Assume that the denominator does not equal zero.
Answers
Answer:
A) 4ab^2
Step-by-step explanation:
19*4 = 76
(a^2*b^3)/(a*b) = a*b^2
Implies, option A.
choose all that apply 13^6+(13^8)(13^-4)/13^-2
Answers
Answer:
Step-by-step explanation:
answer:
step by step explanation:
The sum of two rational numbers is 2. If one of them is -13/5, find the other
Answers
So the right answer is 23/5
Look at the attached picture
Hope it will help you
Good luck on your assignment
Answer:
[tex] \frac{23}{5} [/tex]
Step-by-step explanation:
[tex]x + ( - \frac{13}{5} ) = 2 \\ x - \frac{13}{5} = 2 \\ x = 2 + \frac{13}{5} \\ x = \frac{10 + 13}{5} \\ x = \frac{23}{5} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Pls show me the work too
Answers
Answer:
1). Mean: 14.2
Median: 13.5
Step-by-step explanation:
To calculate the mean, sum all values and divide by the number of values:
(13+16+14+17+13+12) / 6 ≈ 14.2
To calculate the median, order the values from small to large and take the middle value. If there is no middle. average the two values in the middle:
12,13,13,14,16,17
The median is (13+14)/2 = 13.5.
Using this explanation you should be able to find the rest.
The number of oranges harvested from Jake's yard decreased by 5% from last year to this year. Jake used the following expression to find the number of oranges harvested this year, P, where C is the number oranges Jake harvested last year.
C - 0.05C = P
Select the correct interpretation for the given equation.
A. P is 95% of the amount harvested by Jake last year.
B. Is 5% of the amount harvested by Jake last year.
C. P is 5% of the amount harvested by Jake this year.
Answers
Answer:
Option A is correct.
Step-by-step explanation:
P = C - (5/100)C = (95/100)C = 95% of C
Hope this helps!
:)
3a + 2 - 5a = -14. Can someone solve this for me.
Answers
Answer:
a = 8
Step-by-step explanation:
-2a + 2 = -14
-2a = -16
-16/-2 = 8
a = 8
Answer:
a=8
Step-by-step explanation:
3a + 2 - 5a = -14
Combine like terms
-2a +2 = -14
Subtract 2 from each side
-2a +2-2 = -14-2
-2a = -16
Divide each side by -2
-2a/-2 = -16/-2
a = 8
are the selection independent or dependent?
Answers
Answer:
Independent
Step-by-step explanation:
A quadratic has been factored, as shown below:
f(x) = (x − 6)(x + 5)
What are the zeros of the quadratic?
a
6 and −5
b
6 and 5
c
-6 and 5
d
-6 and -5
Answers
Answer:
a
Step-by-step explanation:
Given
f(x) = (x - 6)(x + 5)
To find the zeros, let f(x) = 0, that is
(x - 6)(x + 5) = 0
Equate each factor to zero and solve for x
x - 6 = 0 ⇒ x = 6
x + 5 = 0 ⇒ x = - 5
What is the area of the kite?
Answers
Answer:168
Step-by-step explanation:
.5×16×21
8×21
Answer: 336in ^2
Step-by-step explanation:
multiply 16*21 =336in^2
helpppppppppppppp meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz ASAP
Answers
Answer:
7x=42
Solve:
7x=42
7x=42/7
/7
x = 6
6 is the maximum cost lisa can spend for each party favor bag.
Which is true about the volume or surface area of these prisms?
The surface area of A is greater than the surface area of B.
The surface area of B is greater than the surface area of A.
The volume of A is greater than the volume of B.
The volume of B is greater than the volume of A.
Answers
Answer:
the surface area of A is greater than the surface area of B
Step-by-step explanation:
A surface area: 112
B surface area: 104
A area: 60
B area: 60
Answer:
The surface area of A is greater than the surface area of B
Step-by-step explanation:
Volume = L x W x H
A= 3 x 2 x 10
= 60m^3
B = 2 x 6 x 5
= 60m^3
Surface Area = 2(l x w) + 2(l x h) + 2(w x h)
A = 2(3 x 2) + 2(3 x 10) + 2(2 x 10)
= 2x6 + 2x30 + 2x20
= 12 + 60 + 40
= 112m^2
B = 2(l x w) + 2(l x h) + 2(w x h)
= 2(2 x 6) + 2(2 x 5) + 2(6 x 5)
= 2x12 + 2x10 + 2x30
= 24 + 20 + 60
= 104m^2
6 Trendy T-Shirts has decided to manufacture a new design. It will
cost $400 plus $3 per shirt to produce them, and Trendy plans to
spend $5000 on advertising. The shirts will sell for $12 each.
A. How many shirts must be sold to break even (total cost equals
income from sales)?
B. What is Trendy's income (or total cost) for that many shirts?
Answers
Answer:
A)
400+3x+5000=12x
5400 = 9x
x =600
B)
Profit: zero (break even)
Total cost or Income from 600 Sales: $7200
Which graph represents this system?
3x+2y=-6
y=-x+2
2
Answers
Answer:
Look at the attched image
Hope it helped, mark as brainliest please :)
SOMEONE HELP PLSSS
suppose your friends parents invest $10,000 in an account paying 5% compounded annually. what will the balance be after 5 years?
Answers
Answer:
12,762.82$
Step-by-step explanation:
10,000(1+0.05)^5
Which operation should be done first in the expression below? 13 − 2 • 16 + 2
Answers
Answer:
Multiply (2 * 16)
Step-by-step explanation:
Our expression is 13 - 2 * 16 + 2. The two operations used here are addition (+) and multiplication (*).
Remember order of operations PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.
We see that multiplication comes before addition, so we multiply 2 by 16 first:
13 - 2 * 16 + 2
13 - 32 + 2
Thus, the answer is multiply.
~ an aesthetics lover
Answer:
multiply
[tex](2 \times 16)[/tex]
Step-by-step explanation:
you have to do this sum according to BODMAS Theorem
B - bracketsO - orD - DivisionM - MultiplyA - additionS - subtractso,
[tex]13 - 2 \times 16 + 2 \\ 13 - 32 + 2 \\ 13 - 30 \\ = ( - 17)[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Ms. Pettini's history class has too many students in it. If the class were split
into equal parts to form 3 new classes, each class would have no more than
14 students in it.
If s= the number of students in Ms. Pettini's history class, which
mathematical sentence expresses the information above?
Answers
Answer:
s/3 <= 14
Step-by-step explanation:
The number of students is divided by three because of the three clauses, hence s/3. Each new class can have 14 or less students. Therefore, s/3 <= 14.
Which list shows the numbers in descending order?
A. -2.5, -2.25, 2.75
B. -2.25, -2.5, 2.75|
C. -2.5, 2.5, -2.75]
D. 2.75,-2.5), -2.25
Answers
Answer:
Step-by-step explanation:
I need to find x in the angle
Answers
Answer:
88
Step-by-step explanation:
you do 120-32
Answer:
x = 58 degrees
Step-by-step explanation:
angle x and the 32 degree angle add up to 90 degrees.
so 90 - 32 = 58 degrees
