5. Write down the nth term of each of the following G.Ps
whose first two terms are given as follows. Also find
the term stated besides each G.P. i) 12,-3b,......sixth term
Answers
Answer:
1i) nth term = 12(-b/4)^(n-1)
ii) nth term = 3(-1/9)^(n-1)
2i) Sixth term= (-3b^5)/256
ii) Eight term = -1/1594323
Question:
The complete question as found on brainly (question-10746111):
Write down the nth term of each of the following G.Ps whose first two terms are given as follows. Also find the term stated besides each G.P.
i) 12,-3b,......sixth term
ii) 3,-1/3,..........;8th term?
Step-by-step explanation:
1) To solve terms involving Geometric progressions (GPs), we would first state the variables that are to be incorporated in the formula.
i) 12,-3b,......;sixth term
1st term = a= 12
r = common ratio = 2nd term /1st term
r = -3b/12 = -b/4
Then we would find the nth term
See attachment for details
ii) 3,-1/3,..........;8th term
1st term = a= 3
r = common ratio = 2nd term /1st term
r = (-⅓)/3 = (-⅓)(⅓) = -1/9
Then we would find the nth term
See attachment for details
2) we are to determine the sixth term in (i) and eight term in (ii)
See attachment for details
Sixth term= (-3b^5)/256
Eight term = -1/1594323
Related Questions
Retro Recyclers processes used plastics into milk containers and soda containers. The recycling plant can process up to 2000 tons of plastic a week. At least 900 tons must be processed for milk containers and at least 600 tons must be processed for soda containers. Retro earns $35 per tons for milk containers and $28 per ton for soda containers. Retro wants to figure out how many tons of plastic should be allocated for milk containers and how many tons for soda containers in order to maximize its weekly profit.
Define the variables, write the constraints, and write the objective function for this situation.
Answers
Answer:
Objective function:
Maximize profit P = [tex]35x+28y[/tex]
subject to following constraints:
[tex]x\geq 900\\y\geq 600[/tex]
[tex]x+y\leq 2000\\x\geq 0\,,\,y\geq 0[/tex]
Step-by-step explanation:
Given: The recycling plant can process up to 2000 tons of plastic a week. At least 900 tons must be processed for milk containers and at least 600 tons must be processed for soda containers.
Also, Retro earns $35 per tons for milk containers and $28 per ton for soda containers.
To find: objective function for the given situation
Solution:
Let x tons be used to make a milk container and y tones be used to make a soda container.
As at least 900 tons must be processed for milk containers and at least 600 tons must be processed for soda containers,
[tex]x\geq 900\\y\geq 600[/tex]
Also, as the recycling plant can process up to 2000 tons of plastic a week,
[tex]x+y\leq 2000[/tex]
Also, [tex]x\geq 0\,,\,y\geq 0[/tex]
Objective function:
Maximize profit P = [tex]35x+28y[/tex]
If m2 CBD = 42 and m2 DBE = 26, what is the measure of ZABE?
A. 26
B.42
C.112
D.124
Answers
James went on holiday to America.
The summary table below shows all his expenses during this trip.
Cost in $
Cost in £
Flights
£1,400
Hotel (14 nights)| $105 per night
Wifi (13 days)
$4 per day
I
The exchange rate at the time of James' holiday
was $1.45 to £1
Work out, in £, the total cost of his holiday.
Answers
Answer:
£2,450
Step-by-step explanation:
What we want to do here is calculate the total amount spent on his birthday in £
We already have some costs in pounds, it is the costs not in pounds we are converting.
Flights already in pounds, no conversion
Hotel $105 per night at 14 days
Total here is 14 * 105 = $1470
Wifi cost at $4 per day for 13 days
Total here is 13 * 4 = $52
Total amount spent in dollars alone is $1470 + $52 = $1522
We try and covert this to pounds
$1.45 = £1
$1522 = £x
We simply cross multiply at this point
x = 1522/1.45 = 1049.65 which is approximately £1050
Total amount spent in £ is thus 1050 + 1400 = £2,450
Answer:
£2449.65
Step-by-step explanation:
105 × 14 = $1470
1470 ÷ 1.45 = £1013.79
13 × 4 = $52
52 ÷ 1.45 = £35.86
£1013.79 + £35.86 = £1049.65
£1049.65 + 1400.00 = £2449.65
The total cost was £2449.65
how are trapizods and recangles the same
Answers
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
The table represents the function f(x)=2x+1
Which value goes in the empty cell?
A.3
B.5
C.8
D.23
Answers
Answer:
5
Step-by-step explanation:
we want to find f(2)
f(x) = 2x+1
Let x=2
f(2)= 2*2+1
= 4+1
=5
Please help. There is a screen shot try to use that.
Answers
Answer:
C and D
Step-by-step explanation:
Which is a property of an angle
Answers
Answer:
it had made of two lines including an angle...
what is the midpoint of the segment shown below (-6,-2) (-1,5)
Answers
Answer:
(-3.5,2.5)
Step-by-step explanation:
[tex]m=\left( \dfrac{-6+-1}{2},\dfrac{-2+5}{2} \right)=\left( \dfrac{-7}{2},\dfrac{3}{2}\right)=\left( -3.5,2.5 \right)[/tex]
Hope this helps!
PLEASE HELP WILL MARK BRAINLKIEST!!!!!!!!
Answers
Answer:
a) -x(4[tex]x^{2}[/tex] -x +1)
b) 4[tex]x^{3}[/tex] (x-1)
c) -12[tex]x^{2}[/tex] - 3x + 3
Step-by-step explanation:
Most of it is really just a matter of substituting expressions in. here's how i did it:
f(x) = x-1
g(x) = 4[tex]x^{2}[/tex]
a) (f-g) x [tex]x[/tex]
= (x - 1- 4[tex]x^{2}[/tex]) x [tex]x[/tex]
= x(- 4[tex]x^{2}[/tex]+x-1)
= -x (4[tex]x^{2}[/tex] - x + 1)
*you can take the negative out of the bracket or not, i did though - just makes it neater. They are both right.
b) (fxg) x [tex]x[/tex]
= (4[tex]x^{2}[/tex](x-1)) x [tex]x[/tex]
= 4[tex]x^{3}[/tex] (x-1)
*just bring the x to the front and times it with the 4[tex]x^{2}[/tex]
c) (f+g) x -3
= (x - 1 + 4[tex]x^{2}[/tex]) x -3
= -3 (4[tex]x^{2}[/tex] + x -1)
= -12[tex]x^{2}[/tex] - 3x + 3
*just bring the -3 to the front and times it with the whole bracket to expand since it said evaluate
Hope that helped : )
Evaluate the following expression
(-3)-2
Answers
Answer: 2+3
Step-by-step explanation:
Answer:
Integers are whole numbers that are either positive or negative. Operation of signs is important when dealing with integers.
In this case, -3 and -2 are integers that are being added.
if we add -3 by -2 we get -6 because when a negative number is added to a negative number the negative sign does not change
thus, (-3)-2 = -5
Which of the following quadrilaterals have diagonals that bisect each other?
Check all that apply.
Answers
Answer:
All A. B. C. D.
Step-by-step explanation:
A B C D are all the correct answers
¯\_(ツ)_/¯
The ratio of a to b is 3 to 1, and the ratio of b to c is 1 to 5. What is the value of 2a+3b/ 4b+3c?
A. 3/16
B. 9/19
C. 1/2
D. 5/7
E. 18/19
Answers
Answer:
B
Step-by-step explanation:
Expressing the ratios as fractions, that is
[tex]\frac{a}{b}[/tex] = [tex]\frac{3}{1}[/tex] ( cross- multiply )
a = 3b
[tex]\frac{b}{c}[/tex] = [tex]\frac{1}{5}[/tex] ( cross- multiply )
c = 5b
------------------------------------------
Given
[tex]\frac{2a+3b}{4b+3c}[/tex] , substitute values from above for a and c
= [tex]\frac{2(3b)+3b}{4b+3(5b)}[/tex]
= [tex]\frac{6b+3b}{4b+15b}[/tex]
= [tex]\frac{9b}{19b}[/tex] ← cancel b on numerator/ denominator
= [tex]\frac{9}{19}[/tex] → B
Based on this work, what is the solution to the system?
(-4, -4)
(0, 0)
no solution
infinitely many solutions
Answers
Answer:
no solution
Step-by-step explanation:
Based on the information provided, the solution to the system is (-4, -4). Option A is the correct answer.
In a system of equations, the solution represents the values of the variables that satisfy all the equations simultaneously. In this case, we are given the solution points (-4, -4) and (0, 0). Option A is the correct answer.
If the given points satisfy both equations in the system, then it is the solution to the system. By substituting the values of x and y from the given points into the equations, we can check if they hold true.
Let's assume the system of equations is represented as follows:
Equation 1: x + y = -8
Equation 2: 2x + 2y = -16
Substituting (-4, -4) into the equations:
Equation 1: -4 + (-4) = -8 (True)
Equation 2: 2(-4) + 2(-4) = -16 (True)
Since both equations are true for the point (-4, -4), it is the solution to the system. Therefore, the solution to the system is (-4, -4).
Learn more about Solution System here:
https://brainly.com/question/30285644
#SPJ2
The complete question is, "Based on this work, what is the solution to the system?
a. (-4, -4)
b. (0, 0)
c. no solution
d. infinitely many solutions"
Krista was assigned a homework problem that stated there were 45 stamps purchased for $18.75. Some stamps were 40 cents, and some stamps were 55 cents. To solve this problem, she wrote the system of equations that is shown below. 0.40 x + y = 45. x + 0.55 y = 18.75. Which explains the error that Krista made? Krista put 0.40 in the first equation meant for the number of stamps. Krista put 0.55 in the second equation meant for the value of stamps. Krista did not use the correct decimal to represent the total cost of the stamps. Krista mistakenly put 45 in the first equation when it should have been in the second equation.
PLEASE HURRY I REALLY NEED HELP WILL GIVE BRAINLIEST
Answers
Answer: Krista put 0.40 in the first equation meant for the number of stamps
Step-by-step explanation: From the information available to Krista, she can determine the number of stamps that cost 40 cents and those that cost 55 cents. What she needs is a system of simultaneous equations both of which would use the total number of stamps and the total cost of stamps to determine the how many stamps cost 40 cents and how many costs 55 cents.
The system of equations should have been,
x + y = 45 ----------(1)
0.40x + 0.55y = 18.75 ----------(2)
From equation (1), let x be the subject of the equation and hence x = 45 - y
Substitute for the value of x into equation (2)
0.40(45 - y) + 0.55y = 18.75
18 - 0.40y + 0.55y = 18.75
Collect like terms and you now have
0.55y - 0.40y = 18.75 - 18
0.15y = 0.75
Divide both sides of the equation by 0.15
y = 5
When y has been calculated as 5, substitute for the value of y into equation (1)
x + y = 45
x + 5 = 45
x = 45 - 5
x = 40
The results show that the stamps that cost 0.40 cents (x) were 40 in number while those that cost 0.55 cents (y) were 5 in number.
This answer could not have been derived due to the mistake Krista committed when writing the equations.
Answer:
a
Step-by-step explanation:
Please help!! Will give brainliest!
Solve for z show work
Answers
Answer:
18 1/2
Step-by-step explanation:
1/2z = 9 1/4
1/2z = 37/4
z = 74/4 (Multiplied on both sides by 2 to get of the 1/2)
z = 18 1/2
Elsa used the multiplication table below to write ratios that are equivalent to StartFraction 12 Over 4 EndFraction.
A multiplication table.
One number is missing from the equivalent ratio, as shown.
StartFraction blank Over 12 EndFraction
What is the missing number?
6
18
24
36
Answers
Answer:18
Step-by-step explanation:because it was in the same column
Answer:
Its actually 24 because 4 times 6 is 24 and 12 times 2 is 24
The probability distribution below is:
a. negatively skewed
b. symmetric
c. positively skewed
Answers
Answer: NEGATIVELY SKEWED
Step-by-step explanation: I just took the assignment ;)
Answer:
A. B. A.
Step-by-step explanation:
negatively skewed
less than the median
greater than the median
Give the singular form :
1 . Bodies
2. Joys
3. loaves
4. coolies
5. keys
6. bushes
7. sheep
8. watches
9. storeys
10 . rays
11. feet
12. wives
13. children
14. lilies
15. fairies
Brainliest to whoever answers best and with a good explanation .
Thanks!!
Answers
Answer:
Given below hope it helps!
Step-by-step explanation:
The steps for changing from plural to singular are:
If there is an (s) after the word remove
If there is an ies after the word remove and add y
If there is ves remove and add f or fe
However there are a few exceptions and I will point it out in the answer:-
1) body
2) joy
3) loaf
4) coolie
(In this cooly won't make sense so we just remove the s)
5) key
6) bush
7) sheep
(The singular of sheep is also sheep)
8) watch
9) storey
10) ray
11) foot
(The singular is foot because no other rule applies to this word, this is an exception)
12) wife
13) child
(This is an exception too where we remove ren)
14) lily
15) fairy
Can you show the working out as well please?
Answers
Answer:
BC = 60
Step-by-step explanation:
3X + X = 80 <---- X = BC
3X + X = 4X
4X = 80 <---- DIVIDE BOTH SIDES BY 4
4X ÷ 4 = X
80 ÷ 4 = 20
20 × 3 = 60
Answer:
AB = 20 m
BC = 60 m
Step-by-step explanation:
Let AB be x
So BC becomes 3x
AC is 80 metres
So,
x+3x = 80
4x = 80
Dividing both sides by 4
x = 20
So,
AB = 20 metres
While
BC = 3(20) = 60 metres
In a 2012 city election 33% of the eligible voters voted if there were 2500 eligible voters approximately how many people voted round your answer to the nearest whole number
Answers
Answer:
825 people
Step-by-step explanation:
In the City where the election came up, 33% of the eligible voters voted
It is observed that there are 2500 eligible voters approximately.
The people who voted in 2012 is =
33/100 * 2500
=825 People
In 2012, the total number of people who voted in the city is 825 people
Which of the following statements about f(x) is true? F(x)=(5/4)^x+1
Answers
Answer:
idk
Step-by-step explanation:
i don't see any statements jsjsjsjsjsjs
Points 2
Triangle ABC is translated 3 units left and 4 units up. Find the coordinates of
the new triangle
Answers
Answer:
a = -1,6 b = 1,11 c = 4,11 .
Divide (10x^3 + 19x^2 + x - 7) by (5x + 2)
Answers
Answer:
2x² + 3x - 1 - 5/(5x +2)
Step-by-step explanation:
2x² + 3x - 1
__________________
5x + 2 | 10x³ + 19x² + x - 7
| -10x³ - 4x²
| 15x² + x
| - 15x² - 6x
| - 5x - 7
| 5x +2
| - 5
2x² + 3x - 1 - 5/(5x +2)
why is 1.5 + 2 + 3 = 5 + (2 + 3) false ?
Answers
Answer:
because each side has a different value making that = sign false
Step-by-step explanation:
Answer:
It is false.
Step-by-step explanation:
If you calculate the sum, you get 6.5 = 10.
6.5 does not equal ten. If you need me to go further in depth, let me know!
6x-2x+8y-6y (algebra answr very urgent
Answers
Combine like terms
6x - 2x = 4x
8y - 6y = 2y
4x + 2y
I hope this helps :)
The solution to the expression 6x - 2x + 8y - 6y is 4x + 2y
How to determine the solution to the expressionFrom the question, we have the following parameters that can be used in our computation:
6x - 2x + 8y - 6y
Collect the like terms in the expression
So, we have the following representation
6x - 2x + 8y - 6y = 6x - 2x + 8y - 6y
Evaluate the like terms in the expression
So, we have the following representation
6x - 2x + 8y - 6y = 4x + 2y
Hence, the simplified expression is 4x + 2y
Read more about expressions at
https://brainly.com/question/30492964
#SPJ6
A coin jar contains 10 quarters, 6 dimes, and 8 nickels. Find the probability that a dime is chosen at random from the jar and then a nickel is chosen at random from the jar.
Answers
Answer: 6 to 24
Step-by-step explanation:
How would knowing the slope of a linear function help determine whether a function is increasing or decreasing?
Answers
Answer:
3
Step-by-step explanation:
Answer:
If the slope is positive, it signifies the function is increasing, and if it's negative, it's decreasing. If the slope is exactly 0, the function is stagnant, a horizontal line
In Chemistry, Seth recorded the weight of copper tubing as 15.4 grams. The actual weight was 15.8 grams. What is his percent of error, rounded to the nearest percent?
Answers
Answer: -2.6%
Step-by-step explanation:
Percent error is the difference between the measured and known value, and then we divide by the known value, and then multiply by 100%.
Estimated.number = 15.4 grams.
Actual number = 15.8 grams
Percentage error = (Estimated number - Actual number)/Actual number × 100
= (15.4 - 15.8)/15.8 × 100
= -0.4/15.8 × 100
= 0.0253 × 100
= 2.53
= -2.6% approximately
Bill is purchasing accordion lessons. There is a $20 materials fee and each lesson costs $15. Write an equation for the situation and then determine how many lessons Bill took if his total cost was $125.
Answers
Answer:
The equation is 20 + 15x. Bill took 7 lessons.
Step-by-step explanation:
Let x represent the number of lessons Bill take. Then,
the total cost = materials fee + (each lesson cost).x
Since the materials fee is $20 and each lesson costs $15
The total cost = 20 + 15x
Since Bill's total cost was $125:
→ 125 = 20 + 15x
→ 105 = 15x
→ x = 7
Which expression represents the number 3+−4−−−√ rewritten in a+bi form?
3+4i
0+5i
3i+2
3+2i
−4i+3
Answers
Question:
Which expression represents the number [tex]3 + \sqrt{-4}[/tex] rewritten in a+bi form?
Answer:
3 + 2i
Step-by-step explanation:
Let y = [tex]3 + \sqrt{-4}[/tex] ...............(1)
[tex]y = 3 + (\sqrt{4}) (\sqrt{-1} )\\[/tex].............(2)
The complex number representation of [tex]\sqrt{-1} = i[/tex] and [tex]\sqrt{4} = 2[/tex]
Make these substitutions into equation ( 2)
[tex]y = 3 +2i\\[/tex] is in the form a + bi
Where a = 3 and b = 2