Question 1: What is the difference between a sequence and a series? In what ways are they related or similar? In what ways are they different? What is the context for a series? for a sequence? an = Qu
Answers
The main difference between a sequence and a series is that a sequence is an ordered list of numbers or terms, while a series is the sum of those terms. Both sequences and series are related to each other in that a series is derived from a sequence, and they both involve ordered lists of numbers or terms. In the given expression "an = Qu", "an" represents the nth term of a sequence, while "Qu" denotes a specific function or formula used to determine the value of each term in the sequence.
The main difference between a sequence and a series is that a sequence is an ordered list of numbers or terms, while a series is the sum of those terms.
Similarities: Both sequences and series are related to each other in that a series is derived from a sequence, and they both involve ordered lists of numbers or terms.
Differences: A sequence focuses on the individual terms, whereas a series deals with their sum. Sequences can be infinite, but series must be convergent to have a finite sum.
Context: A sequence is used when you want to analyze or find a pattern in a list of numbers or terms, such as arithmetic or geometric sequences. A series is used when you want to find the sum of a specific number of terms or the sum of an infinite converging sequence, like geometric series or harmonic series.
In the given expression "an = Qu", "an" represents the nth term of a sequence, while "Qu" denotes a specific function or formula used to determine the value of each term in the sequence.
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Related Questions
Create your own unit rate example in which you have to determine the unit rate of two fractions with different units. Explain what the two fractions are, write the scenario, and calculate the unit rate. Do not forget your units and remember to show your work!
Answers
Manav can cover 1 mile of the distance in just 12 minutes.
How to calculate the unit rate?The unit rate can be expressed in any unit for instance minute per mile, miles/hour, etc
if Manav covers 3 miles in 36 minutes, her unit rate in minutes per mile is expressed as:
Unit rate = 36min/3miles
Unit rate = 12 minutes/mile
Here,
This shows that Manav can cover 1 mile of the distance in just 12 minutes.
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903 randomly sampled registered voters from tampa, fl were asked if they thought workers who have illegally entered the us should be
Answers
For a sample of 903 voters from Tampa.
a) The percentage of Tampa, FL voters who self-identify as conservative is equals to 41%.
b) The percent of these Tampa, FL voters who identify themselves as conservatives and are in favor of the citizenship option is equals to 6.31%.
Random or probabilistic sampling is a process in which every person in the population has an equal chance of being included in the sample. The sample is the part of the population that represents the characteristics of the population within a certain margin of error. We have a sample of 903, voters from Tampa, Florida. The table above represents valuable information. From Table we have
a) Number of voters who define themselves as conservative = 372
Total number of registered voters = 903
Percentage of votes who define themselves as conservative = \( \frac{372}{903}\)
= 0.41196013289 = 41%
b)Number of voters who identify themselves as conservatives and are in favor of the citizenship option = 57
The Percent of voters who identify themselves as conservatives and are in favor of the citizenship =\(\frac{57}{903} \)
= 0.0631229235 = 6.31%.
Hence, required value is 6.31%.
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Complete question:
903 randomly sampled registered voters from Tampa, FL were asked if they thought workers who have illegally entered the US should be (i) allowed to keep their jobs and apply for US citizenship, (ii) allowed to keep their jobs as temporary guest workers but not allowed to apply for US citizenship, or (iii) lose their jobs and have to leave the country. The results of the survey by political ideology are shown below.
a) What percent of these Tampa, FL voters identify themselves as conservatives?
b) What percent of these Tampa, FL voters identify themselves as conservatives and are in favor of the citizenship option?
It's believed that as many as 21% of adults over 50 never graduated from high school. We wish to see if this percentage is the same among the 25 to 30 age group. a) How many of this younger age group must we survey in order to estimate the proportion of non-grads to within 10% with 90% confidence? n= (Round up to the nearest integer.)
Answers
A minimum sample size of 121 individuals needs to be surveyed, ensuring a rounded-up value to estimate the proportion of non-graduates within the 25 to 30 age group with a 10% margin of error and 90% confidence.
To determine the sample size required to estimate the proportion of non-graduates within the 25 to 30 age group with a certain level of confidence and margin of error, we can use the formula:
n = (Z^2 * p * (1 - p)) / E^2
Where:
n is the required sample size
Z is the Z-score corresponding to the desired confidence level (90% confidence corresponds to a Z-score of approximately 1.645)
p is the estimated proportion of non-graduates (0.21 based on the information provided)
E is the desired margin of error (10% or 0.10)
Substituting the values into the formula:
n = (1.645^2 * 0.21 * (1 - 0.21)) / 0.10^2
n ≈ 120.41
Rounding up to the nearest integer, the required sample size is 121.
Therefore, you would need to survey at least 121 individuals in the 25 to 30 age group to estimate the proportion of non-graduates within 10% margin of error with 90% confidence.
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The line shown represents the amount of money Ben owes on his lunch account.
2 days ago, he owed $1. What is an equation of the line in point-slope form?
Answers
Answer:
y=2x-1
Step-by-step explanation:
Remeber to put no spaces on the test
and it is this answer bc he owes one dollar evryday and owing is negative
Gabriella bought 6 7/14 yards
of red fabric and 7 1/7 of
blue. How much cloth did she
buy in all?
Answers
Answer:
13 9/14
Step-by-step explanation:
Add the blue + red fabric
1. Make the denominator the same
6 7/14 + 7 2/14
2. Add
6 7/14 + 7 2/14 = 13 9/14
Answer:
13 9/14
Step-by-step explanation: You would change 1/7 into 2/14 for a common denominator then add 2/14 and 7/14 and get 9/14 and 6+7=13 so it would be 13 9/14. Plzzzz give me brainliest
Kareem heats a beaker of water to a boil. Then he records that the water temperature decreases from 100°C to 19°C in 525 minutes.
What was the change in temperature each minute? Enter your answer in the box.
Answers
Answer:
0.154 °C/minute
Step-by-step explanation:
100 °C - 19 °C = 81 °C
(81 °C)/(525 minutes) = 0.154 °C/minute
Which of the following show the Associative Property of Addition? 3(6 + 10) = 3 • 6 + 3 • 10 3 – (6 + 10) = (3 – 6) + 10 3 • (6 • 10) = (3 • 6) • 10 3 + (6 + 10) = (3 + 6) + 10
Answers
Answer:
The answer is 47
Step-by-step explanation:
true or false: if you are given a graph with two shiftable lines, the correct answer will always require you to move both lines.
Answers
False. if you are given a graph with two shif table lines, the correct answer will always require you to move both lines.
In a graph with two shiftable lines, the correct answer may or may not require moving both lines. It depends on the specific scenario and the desired outcome or conditions that need to be met.
When working with shiftable lines, shifting refers to changing the position of the lines on the graph by adjusting their slope or intercept. The purpose of shifting the lines is often to satisfy certain criteria or align them with specific points or patterns on the graph.
In some cases, achieving the desired outcome may only require shifting one of the lines. This can happen when one line already aligns with the desired points or pattern, and the other line can remain fixed. Moving both lines may not be necessary or could result in an undesired configuration.
However, there are also situations where both lines need to be shifted to achieve the desired result. This can occur when the relationship between the lines or the positioning of the lines relative to the graph requires adjustments to both lines.
Ultimately, the key is to carefully analyze the graph, understand the relationship between the lines, and identify the specific criteria or conditions that need to be met. This analysis will guide the decision of whether one or both lines should be shifted to obtain the correct answer.
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what is 3 and 1/6 as an improper fraction
Answers
Answer:
Step-by-step explanation: 3×6+1,3×6 is 18+1 is 19/6 is your answer
Measure the lengths of the wires to the nearest half inch. A scale measuring 3 inches is placed horizontally to measure the length of 4 wires. The first wire is more than 2 inches and just less than 2 and one-half inches long. The second wire is just more than 2 and one-half inches long. The third wire is just more than 1 and one-half inches long. The fourth wire is more than 1 and one-half inches and just less than 2 inches long. How many pieces of wire are there for each length? Drag the number of pieces of wire there are for each length to the boxes. Numbers may be used once, more than once, or not at all.
Answers
a) there is one pieces of wire each for each length.
b)
i. Wire 1 is more than 1 1/2 inches and just less than 2 inches long.
ii. Wire 2 is just more than 2 1/2 inches long.
iii. Wire 3 is more than 2 inches and just less than 2 1/2 inches long.
iv. Wire 4 is more than 1 inches and just less than 1 1/2 inches long.
What is the explanation for the above response?The above prompt seeks to explain measurement and sorting using actual observable measure.
In this case, several wire are placed horizontally over a calibrated measure such as a rule calibrated in Inches.
Thus, from the observed, we can stated that:
i. Wire 1 is more than 1 1/2 inches and just less than 2 inches long.
ii. Wire 2 is just more than 2 1/2 inches long.
iii. Wire 3 is more than 2 inches and just less than 2 1/2 inches long.
iv. Wire 4 is more than 1 inches and just less than 1 1/2 inches long.
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Full Question:
Although part of your question is missing, you might be referring to this full question:
Measure the lengths of the wires to the nearest half inch.
A scale measuring 3 inches is placed horizontally to measure the length of 4 wires.
The first wire is more than 2 inches and just less than 2 and one-half inches long.
The second wire is just more than 2 and one-half inches long. The third wire is just more than 1 and one-half inches long. The fourth wire is more than 1 and one-half inches and just less than 2 inches long.
a) How many pieces of wire are there for each length?
b) Drag the number of pieces of wire there are for each length to the boxes. Numbers may be used once, more than once, or not at all.
See attached image.
over the weekend, jada made three times as much money babysitting than han did mowing lawns. jada made an additional $27 selling lemonade.
from babysitting and selling lemonade, she has a total of $96.
if the equation 3x+27=96 represents this situation, what does the variable x represent?
A). amount han made mowing lawns
B). amount jada made selling lemonade
C). total amount jada made
Answers
Answer:
23
Step-by-step explanation:
should be 23, start by subtracting 96-27 and from there you can divide that answer by3 to get x
Answer:
B). amount jada made selling lemonade
Step-by-step explanation:
Welcome for the answer. This answer is for good intentions only please don't report unless necessary. Have a great rest of your day!Need Help
Pies are $3.50 each.
Sauce is an extra 45c.
How much is 4 pies and 2 pies with sauce?
Answers
Answer:
$ 14.9
Step-by-step explanation:
we can create an equation
use variables:
pies = p
sauce = s
3.5p + 0.45s
3.5 (4) + 0.45(2)
= $ 14.9
Pies & sauce = 3.95 (3.50 + . 45)
4(3.5) + 2(3.95)
$14 + $7.9
$ 21.90
It costs $21.90
What is the ratio of 2 miles driven and $6. 00 cab fare
Answers
Answer:
2 to 6, 2/6, or 2:6
Step-by-step explanation:
a ratio is a comparison of two values expressed as a quotient
on which days did it rain less then one-fifth of an inch
Answers
Answer:
on which days did it rain less then one-fifth of an inch
Step-by-step explanation:
What’s the answer to this?! ;)))
Answers
Answer:
A
Step-by-step explanation:
2pi radians = 2*pi*9 = 18 pi
That's the circumference. Now you want to take pi/6 part of the circumference.
pi / 6 part of the circumference / 2pi is what you are looking for.
(pi / 6 // 2 pi) * 18 pi = 1/12 * 18 pi = 3/2 pi
A line contains the points (-1, 2) and
(4, -4). What is the slope of the line?
Answers
Answer:
The slope of the line is -6/5.
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-4-2)/(4-(-1))
m=-6/(4+1)
m=-6/5
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Simplify.
- (-5i + 2) - (9 + i)
Answers
Answer: 4i - 11
Step-by-step explanation: Get rid of the parenthesis by multiplying everything inside the parenthesis by -1 because there is a negative sign. That gives you 5i - 2 - 9 - i. From there, you combine like terms, and the coefficients of i is 5 and -1. Combining like terms, 5i - i = 4i and -2 - 9 = -11. Therefore, the answer is 4i - 11.
The answer is:
-11 + 4iWork/explanation:
First, let's distribute the minus sign :
\(\sf{-(-5i+2)-(9+i)}\)
\(\sf{5i-2-9-i}\)
Now just combine the like terms :
\(\sf{5i-i-9-2}\)
\(\sf{4i-11}\)
Now let's swap the terms so that the number matches the a + bi form:
\(\sf{-11+4i}\)
Therefore, the answer is -11 + 4iLatonya needs to purchase 5 notebooks at $1.99 each and 3 pens at $0.89 each. About how much will she spend?
Answers
The total amount that Latonya will spend is $12.62
The cost of each notebook is $1.99
Latonya needs to purchase 5 notebooks
∴ The cost of 5 notebooks = Cost of each notebook × 5
= $1.99 × 5
∴ The total cost of 5 notebooks = $9.95
The cost of each pen is $0.89
Latonya needs to purchase 3 pens
∴ The cost of 3 pens = Cost of each pen × 3
= $0.89 × 3
∴ The total cost of 3 pens = $2.67
Total amount that Latonya will spend on notebooks and pens = Total cost of 5 notebooks + Total cost of 3 pens
Total amount = $9.95 + $2.67
∴ Total amount = $12.62
Therefore, the total amount that Latonya will spend is $12.62.
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find doubling time : q=100e.5x . round answer to 4-decimal places.
Answers
The general formula for calculating the doubling time is:
doubling time = ln(2) / growth rate
Here, the growth rate can be found from the given equation as:
q = 100e^(0.5x)
Taking the natural logarithm of both sides:
ln(q/100) = 0.5x
Solving for x:
x = 2 ln(q/100)
The growth rate is therefore 0.5, and the doubling time can be calculated as:
doubling time = ln(2) / 0.5 = 1.3863
Rounding to 4 decimal places, the doubling time is approximately 1.3863 units of x.
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In a class of 50 students, 40% are girls. Find the number of girls and number of girls in the class.
Answers
50-20 = 30 boys in class
Answer:
20 girls.
Step-by-step explanation:
40% * 50
= 20
Hope this helped!
Solve the given equation
x – 1 + 5x = 23
Answers
Step-by-step explanation:
x - 1 + 5x = 23
6x - 1 = 23
6x = 23 + 1 = 24
6x = 24
x = 24/6
x = 4 ans.
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Avery has two books and a lunch box in his backpack Each book weighs 7/8 pound. The total weight in his backpack it 2 2/3 pounds. How much does Avery's lunch box weigh?
Answers
The weight of the Avery's lunch box using given weights is equal to 0.92 pounds (rounded to two decimal places).
Total weight of the backpack= 2 2/3 pounds
= 8/3 pounds
The weight of the each book =7/8 pounds.
Let x be the weight of the lunch box in pounds.
An equation that represents the total weight in Avery's backpack,
2(7/8) + x = 8/3
To solve for x, simplify and solve for x,
⇒14/8 + x = 8/3
Multiplying both sides by 24 the least common multiple of 8 and 3 to clear the fractions,
⇒42 + 24x = 64
Subtracting 42 from both sides,
⇒24x = 22
Dividing both sides by 24,
⇒x = 22/24
Simplifying the fraction,
⇒x = 11/12
= 0.92 pounds (rounded to two decimal places).
Therefore, the weight of the lunch box is equal to 0.92 pounds (rounded to two decimal places).
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find p where f(x) = 2x ^ 3 + 5x ^ 2 + px + 8 where f(- 2) = 10
Answers
Explanation
Given the function
\(f\mleft(x\mright)=2x^3+5x^2+px+8\)We can find the value of p when f(-2 )=10 below;
Therefore, we will have;
\(\begin{gathered} f(-2)=2(-2)^3+5(-2)^2+(-2)p+8=10 \\ -16+20-2p+8=10 \\ -4-2p+8=10 \\ -2p+4=10 \\ -2p=10-4 \\ -2p=6 \\ p=\frac{6}{-2} \\ p=-3 \end{gathered}\)Answer: p = -3
MaTh whoever answers this get BrAINLY
Answers
Answer:
addition
-5x-6= -8
-5×= -2
x=2/5
Answer:
addition
Step-by-step explanation:
-5x-6= -8
-5×= -2
x=2/5
Jane has cupcakes for sale and needs to increase the prices because the price of eggs went up. Each cupcake now costs 75 cents. She will increase the price by x cents so the expression for one cupcake is (x + 0.75). Choose the expression that represents the price for 80 cupcakes and is correctly distributed.
a. 80(x + 0.75) = x + 60
b. 80(x + 0.75) = 80x + 0.75
c. 80(x + 0.75) = x + 6000
d. 80(x + 0.75) = 80x + 60
Answers
Answer:
40(x + 0.55) = 40x + 22
Step-by-step explanation:
Which action would REDUCE the amount of money in Kendra’s checking account today?
Answers
Answer:
umm where is question?
Step-by-step explanation:
MARKMEASBRAINLISTPLS
Edin has £300 in his savings account. His bank offers him a fixed 5% simple interest rate per annum, for a period of 3 years.
Answers
300 x 0.05 = 15
15 x 3 = 45
. Four times the sum of 3 and a number is 16. Find the
number.
PLEASE A I NEED IT
Answers
Answer:
x=1
Step-by-step explanation:
it is
someone help and explain
Answers
We can fill in the boxes to make each equation complete as follows:
1. x³x⁹ = x¹²
2. x⁷/x³ = x⁴
3. 1/x⁻⁵ = x⁵
4. (7b³c⁵)³ = 343b⁹c¹⁵
How to solve the exponentsTo solve the exponents as provided above, the rules have to be factored in. One of the rules is that when multiplying exponents of the same base, we simply add their powers together. So, we have the powers of 3 and 9 for the first expression and they add up to 12.
1. x³x⁹ = x³ ⁺ ⁹ = x¹²
For the second expression, the rule of exponents says that when dividing, we will subtract the powers. This gives us x⁴ for the second expression.
2. x⁷/x³ = x⁷ ⁻ ³ = x⁴
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there are three blue marbles and five yellow marbles. two marbles are selected. what is the probability that both are blue
Answers
Answer:
3
8
Step-by-step explanation:
probability= no. of blue marbles
total no. of marbles
= 3
8