write an recurisve formula for an, the nth term of the sequence 14,20,26
Answers
Given the sequence:
14, 20, 26
To find the recursive formula, use the formula below:
\(\begin{cases}a_1 \\ a_n=a_{n-1}+d\end{cases}\)Where, d is the common difference.
To find the common difference, we have:
d = a2 - a1 = 20 - 14 = 6
a1 = first term = 14
n = number of terms
The common difference is = 6
Thus, the recursive formula is:
\(\begin{cases}a_1=14 \\ a_n=a_{n-1}+6\end{cases}\)ANSWER:
\(\begin{cases}a_1=14 \\ a_n=a_{n-1}+6\end{cases}\)Related Questions
Edna has a box of chocolates. There are 36 chocolates in the box, and one-ninth of them
contain nuts. How many chocolates in Edna's box contain nuts?
Answers
Answer: 4
Step-by-step explanation:
\((36)(\frac{1}{9} )\)
= 4
please give me a brainliest answer
Given the following diagram, are and opposite rays? yes no
Answers
Answer:
Where is the diagram?
Step-by-step explanation:
Answer:
OC and OE are apposite rays so the Answer is yes
Help me!! Plz....(ᗒᗣᗕ)՞
Answers
Answer:
the base is 7 units and the height is 3 units
I need to know how to do this problem please
Answers
Answer: Total expenses if 3 widgets are produced is $11,018.00
Step-by-step explanation: The variable cost per unit is given by the coefficient of q in the expense function. In this case, the variable cost is $6.00 per widget. To find the variable costs to produce 2 widgets, we simply multiply the variable cost per unit by the number of units produced: Variable costs for 2 widgets = 2 x $6.00 = $12.00 Therefore, the variable costs to produce 2 widgets is $12.00. To find the variable costs to produce q widgets, we simply multiply the variable cost per unit by the number of units produced: Variable costs for q widgets = q x $6.00 = $6q Therefore, the variable costs to produce q widgets is $6q. To find the total expenses if 3 widgets are produced, we can use the expense function and substitute q = 3:E = 6.00 q + 11,000
E = 6.00 (3) + 11,000
E = 18.00 + 11,000
E = 11,018.00 Therefore, the total expenses if 3 widgets are produced is $11,018.00.
I will mark brainliest!!!Use the coordinate grid to determine the coordinates of point A A. What are the coordinates of point A?
Answers
Answer:
(-1/4, 1 3/4)
Step-by-step explanation:
The first thing to look at is the scale of the grid. To do that, look at the x-axis (horizontal). The space between 0 and 1 has been divided into 4 equal parts, so each part (square) is worth 1/4 in the horizontal directio.
The scale on the y-axis (vertical) is similar. Again, the space between 0 and 1 is divided into 4 equal parts, so each square represents 1/4 in the vertical direction.
To get to point A, begin at the origin, then go left one space. The x-coordinate of point A is -1/4. Now go up to point A, moving up through 7 spaces. The y-coordinate of point A is 7/4 = 1 3/4.
A 2015 Gallup poll of 1,627 adults found that only 22% felt fully engaged with their mortgage provider.
What is the sample size? Give only the number:
The margin of error for this data set is 2.5%. What is the 95% confidence interval for those who say they felt fully engaged with their mortgage provider (rounded to 1 decimal place)?
Answers
The sample size for the Gallup poll is 1,627 adults. The 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).
To calculate the 95% confidence interval, we need to consider the margin of error. The margin of error is given as 2.5%, which means that we need to account for plus or minus 2.5% around the observed proportion of 22%.
First, let's calculate the margin of error:
Margin of Error = 2.5% of 22% = 0.025 * 22% = 0.0055
Next, we can calculate the lower and upper bounds of the confidence interval:
Lower Bound = 22% - Margin of Error = 22% - 0.0055 = 21.995% ≈ 22.0%
Upper Bound = 22% + Margin of Error = 22% + 0.0055 = 22.005% ≈ 22.0%
Therefore, the 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).
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List all the subsets of the given set.
{e, n, t}
Answers
The subsets of the set {e, n, t} are given as follows:
{{}, {e}, {n}, {t}, {e,n}, {e,t}, {n,t}, {e,n,t}}.
How to obtain the number of subsets in a set?Considering a set with n elements, the number of subsets in the set is the nth power of 2, that is:
\(2^n\)
The set for this problem is given as follows:
{e, n, t}
The cardinality is given as follows:
n = 3.
Hence the number of subsets is given as follows:
2³ = 8.
The subsets are given as follows:
{{}, {e}, {n}, {t}, {e,n}, {e,t}, {n,t}, {e,n,t}}.
In which {} is the empty set.
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4. Simplify: (3x2 + 3x + 1) + (x2 + x + 5)
A. 3x2 – 2x + 4
B. 4x2 + 4x + 6
C. 4x4 + 4x2 + 6
D. 4x4 + 3x2 + 5
Answers
Answer: B
B
Step-by-step explanation:
3x2+3x+1+x2+x+5
4x2+4x+6
Answer:
x^2 + 4x +12 that should be the answer
Step-by-step explanation:
A bank account gathers compound interest at a rate of 5% each year.
Another bank account gathers the same amount of money in interest by the end of each year, but gathers compound interest each month.
If Haleema puts £3700 into the account which gathers interest each month, how much money would be in her account after 2 years and 11 months?
Give your answer in pounds to the nearest 1 p.
Answers
Haleema would have approximately £3947.46 in her account after 2 years and 11 months, considering the monthly compounding interest of 5%.
To calculate the amount of money in Haleema's account after 2 years and 11 months, we need to consider the monthly compounding interest on the account.
The interest rate is given as 5% per year, which means the monthly interest rate is (5%/12) = 0.4167%.
Let's calculate the final amount using the compound interest formula: A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years.
In this case, P = £3700, r = 0.004167, n = 12 (monthly compounding), and t = 2.917 (2 years and 11 months).
Plugging these values into the formula, we get:
A = £3700(1 + 0.004167/12)^(12*2.917)
A ≈ £3947.46
The amount of money in Haleema's account after 2 years and 11 months would be approximately £3947.46.
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which inequality represents this situation?the number of students,s,who rides in a bus is less than 30
Answers
Answer:
b
Step-by-step explanation:
b
3 times the difference of a number and 1 is nine more than the same number. Find the number.
Answers
Answer: 6
Step-by-step explanation:
3 (x-1) = x + 9
3x - 3 = X + 9
3x - x = 9 + 3
2x = 12
x = 12/2
x = 6
The correct answer will be "n = 6". A complete solution is provided below.
Let,
The number be "n".
According to the question, the expression will be:
→ \(3(n-1)=9+n\)
→ \(3n-3=9+n\)
By adding "3" both sides, we get
→ \(3n-3+3=9+n+3\)
→ \(3n=12+n\)
By subtracting "n" from both sides, we get
→ \(3n-n=12+n-n\)
→ \(2n=12\)
→ \(n=\frac{12}{2}\)
→ \(n = 6\)
Thus the above is the appropriate answer.
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please help me find the formula of this table graph thingy
I NEED THE FORMULA, Y=??????
the topic Is graph and direct propotion btw
Answers
Answer:
| Drink (x ml) | 200 | 100 | 500| 1000|
| Sugar (y g) | 20 | 10 | 50 | 100 |
Step-by-step explanation:
Formula : y=k/x
Solve:
Before we find the answer chart =
| Drink (x ml) | 200 | 100 | 500| 1000|
| Sugar (y g) | 20 | ? | ? | ? |
20 = ? / 200
? = 10
Thus,
100/10 = 10
500/10 = 50
1000/10 = 100
So the chart now is:
| Drink (x ml) | 200 | 100 | 500| 1000|
| Sugar (y g) | 20 | 10 | 50 | 100 |
~lenvy~
Song suggestions ? any songs
Answers
Answer:
Unforgettable and Chanaynay by wewantwraiths
Step-by-step explanation:
If you like rock or indie, listen to Cage the Elephant (my favorite band) or Declan Mckenna (my favorite artist)
Best Cage the elephant songs:
Aint no rest for the wicked, Cigarette daydreams, Shake Me down, Trouble, Take it or leave it, Telescope, Sweetie little jean, Cry baby, Cold Cold Cold, Come a little closer, Ready to let go, Spiderhead, Aberdeen, Social cues, Tokyo smoke, house of glass, and Hypocrite
Best Declan Mckenna songs:
Brazil, Beautiful faces, The key to life on earth, Rapture, Why do you feel so down, Humongous, Make me your queen, Daniel your still a child, Listen to your friends, Bethlehem, I am everyone else, Sagittarius A*, and British Bombs
I hope you enjoy these songs :)
I NEED HELP PLS HURRY
1. Write each expression with a single exponent:
a. (10^7)²
b. (10^9)³
c. (10^6)³
d. (10^2)³
e. (10³)²
f. (10^5)^7
Answers
b. 10^27
c. 10^18
d. 10^6
e. 10^6
f. 10^35
multiply the exponents.
Answer:
We use the rule,
\((a^b)^c = a^{bc}\)
a. (10^7)²
\((10^7)^2 = 10^{(7)(2)} = 10^{14}\)
10^14
b. (10^9)³
\((10^9)^3 = 10^{(9)(3)} = 10^{27}\)
10^27
c. (10^6)³
\(10^{(6)(3)}= 10^{18}\)
10^18
d. (10^2)³
\(10^{(2)(3)} = 10^{6}\)
10^6
e. (10³)²
\(10^{(3)(2)}=10^{6}\)
10^6
f. (10^5)^7
\(10^{(5)(7)} = 10^{35}\)
10^35
Step-by-step explanation:
Question Which is closest to the surface area of the figure below? 1463.8 m squared 578.1 m squared 923.2 m squared 3692.6 m2
Answers
The closest option to the cone area is 923.2 m².
What is a cone?A cone is a shape formed from a series of line segments or lines that connect a common point, called a vertex or vertex, to all points on the base of a circle that do not contain vertices. The distance from the apex of the cone to the base is called the height of the cone.
To solve this problem, we need to find the surface of the cone. Formula for the surface area of cone:
A = \(\pi\)r² + \(\pi\)rℓ
where r is the radius of the base, ℓ is the height of the depression, and π is a constant of approximately 3.14159.
First, we find the radius of the base. Since the bottom line of the cone is listed as 18 feet and we know the radius is 14 feet, we can use the Pythagorean theorem to find the height of the cone.
h² = ℓ² - r²
h² = 19.3² - 14²
h ≈ 11.48 feet
Now we can compute the surface.
A = \(\pi\)(14)² + \(\pi\)(14)(19.3)
A ≈ 923.2 square feet
So the closest option to the cone area is 923.2 m².
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Set up the appropriate equation to solve for the missing angle.
Answers
65^2 = 4,225
46^2 = 2,116
To find the missing angle, we must subtract 2,116 from 4,225 and then identify the difference’s square root.
4,225 - 2,116 = 2,109
√2,109 ≈ 45
Hence, x ≈ 45.
Answer:
Using the Pythagorean Theorem, we know x^2 + 46^2 is equal to 65^2. With that in mind, it is important to note:
65^2 = 4,225
46^2 = 2,116
To find the missing angle, we must subtract 2,116 from 4,225 and then identify the difference’s square root.
4,225 - 2,116 = 2,109
√2,109 ≈ 45
Hence, x ≈ 45.
Step-by-step explanation:
If you divide the age of the first President Bush when he was inaugurated by 2 and add 14 years, you get the age of President Clinton when he was first inaugurated. How old was President G.H.W. Bush when he was inaugurated?
Answers
Answer:
64Step-by-step explanation:32+14=46
Step-by-step explanation:
lf you divide the age of the first President Bush when he was inaugurated by 2 and add 14 years, you get the age of President Clinton when ...
1 answer
Age of President G.H.W. Bush is 37.
What is Unitary Method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
Age of President Bush = 54,
So, Age of President Clinton
=(54/2) + 14
=27+14
=41
Now, Age of President G.H.W. Bush
=46/2+14
=23+14
=37
Hence, the age of President G.H.W. Bush is 37.
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What is the answer help
Answers
Answer: 162°
Step-by-step explanation:
To find the answer to this question, we need to find what 45% of 360 degrees (a circle) is.
First, a percent divided by 100 becomes a decimal.
45% / 100 = 0.45
Next, "of" means multiplication in mathematics.
0.45 * 360 = 162
The central angle will be 162°.
16
Select the correct answer.
Which of the following graphs shows the solution set for the inequality below?
Ix+21+7>10
OA HH
OB. H
5
1 0 1 2 3
0 1
2 3 4
10
5 6
Answers
The solution set includes all real numbers less than -5, and all real numbers greater than 1, but does not include -5 or 1 themselves.
Option D is the correct answer.
We have,
We need to isolate the absolute value |x + 2| on one side of the inequality.
We subtract 7 from both sides.
|x + 2| > 3
Next, we can split this inequality into two separate inequalities, one for when the expression inside the absolute value is positive, and one for when it is negative:
x + 2 > 3
or
- (x + 2) > 3
Solving for x in the first inequality.
x > 1
Solving for x in the second inequality.
-x - 2 > 3
Adding 2 to both sides and multiplying by -1.
x < -5
So the solution set for the inequality |x + 2| + 7 > 10 is the set of all x-values that satisfy either x > 1 or x < -5.
Using interval notation.
(-∞, -5) U (1, ∞)
Thus,
The solution set includes all real numbers less than -5, and all real numbers greater than 1, but does not include -5 or 1 themselves.
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P is a polynomial of degree 4 with three zeros: -1 and 2 are zeros of multiplicity one, and 3 is a zero with multiplicity two. If P(0) = 90, what is the lead coefficient of P ?
Answers
Answer:
\(P(x) = (x+1)(x-2)(x-3)^2 + 108\)
Step-by-step explanation:
let me know if you want an explanation
Above is a table that gives the interest per every $100 financed. Use the table to determine the annual percentage rate for a 35 month loan that charges $22.38 per every $100 financed.
a.
13%
c.
15%
b.
14%
d.
16%
Answers
The annual percentage rate for a 35 month loan that charges $22.38 per every $100 financed is seen from the table to be 14%.
How to determine Annual Percentage Rate?From the table, the APR for 35 months loan that charges $22.38 per every $100 financed is seen to be 14%.
Thus, we can conclude that the annual percentage rate for a 35 month loan that charges $22.38 per every $100 financed is seen from the table to be 14%.
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Answer:
a. 13%
Step-by-step explanation:
E2020!
help asap plzzz I NEED HELP !!!!!!!!
Answers
Answer:
1520.5 in^2
Step-by-step explanation:
Surface area=2*pi*r^2+2*pi*r*h=2*pi*r*(r+h)=2*pi*11*22=1520.5 in^2
FIND X
-------------------------------------------------------------------------------------------------
Answers
9514 1404 393
Answer:
x = (10√3)/3 ≈ 5.7735 m
Step-by-step explanation:
The 30°-60°-90° right triangle is one of the "special" right triangles, so you know its side ratios are ...
BC : AB : AC = 1 : √3 : 2
Then ...
x = BC = AB/√3 = (10 m)/√3 = (10√3)/3 m ≈ 5.7735 m
simplify 0.0612/1.02
Answers
Answer:
0.06
Step-by-step explanation:
HELP ASAP PLS THIS IS VERY IMPORTANT!!!!!!!
Please answer correctly!
Answers
Answers to ratios are first one is option B, second one is option A and third one is option C.
What is Ratio?Ratio is defined as the relationship between two quantities where it tells how much one quantity is contained in the other.
1. Ratio of smoothie size to mangos used for Kim = 8 : 1
Ratio of smoothie size to mangos used for Bri = 24 : 3
= 8 × 3 : 1 × 3
= 8 : 1
Ratio of smoothie size to mangos used for Angela = 32 : 4
= 8 × 4 : 1 × 4
= 8 : 1
So the ratio of smoothie size to mangos used for Bri is the same as the ratio of smoothie size to mangos used for Angela.
So the answer is option B.
2. Ratio of width to length of larger canvas = 4 : 6 = 2 : 3
Ratio of width to length of smaller canvas = 2 : 3
So the painting's width to length ratios are equal because the ratio 4 to 6 is equal to the ratio 2 to 3.
So the answer is option A.
3. Ratio of students who prefer free time at the beginning of the class to students who prefer free time at the end of the class is 12/19
Total students = 12 + 19 = 31
Out of 31 students, 12 students prefer free time at the beginning of the class and 19 students prefer free time at the end of the class.
So the answer is option C.
Hence the answers on ratios are done.
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Question 10 of 10
How does the graph of f (x) 3x +2 +4 relate to its parent function?
A. The parent function has been compressed.
B. The parent function has been translated up.
C. The parent function has been stretched.
D. The parent function has been translated to the left.
SUBMIT
Answers
The graph of f(x) relate to its parent function by B. The parent function has been translated up.
How does the graph of f(x) relate to its parent function?Given that
f(x) = 3x +2 +4
When evaluated, we have
f(x) = 3x + 6
The parent function of the above is
f(x) = 3x
When f(x) = 3x is compared to f(x) = 3x + 6, we have
Difference = 6
This means that the parant function is translated up by 6 units
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Express each set using the roster method
A. The set of natural odd numbers greater than 2, but less than 11
B. {x|x€N and 4
Answers
The elements using rooster-method:
A){3,4,5,6,7,8,9,10}
B){5,6,7,8,9,10,11,12,13,14}
What is rooster-method?
By listing the items of a set inside brackets, the roster method may be used to display the elements of a set. One of three ways to describe a set is in rooster form. The items of a set are listed in the roster form between curly or following brackets, with commas separating each element. When items repeat in the set, the roster approach actually has an issue. Because the elements do not follow a pattern or have a specific order, it is impossible to describe the elements in roster notation if the set has a significant number of elements or any repeated elements.
A)Set of natural odd numbers greater than 2 but less than 11:
Let us represent the set using symbol O:
O = {3,4,5,6,7,8,9,10}
B){x| x∈ N and 4<x<15}
Given that x is a natural number greater than 4 but less than 15.
X={5,6,7,8,9,10,11,12,13,14}
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One-stray Problem Solving
POSSIBLE POINTS: 5.88
A rectangular playground is to be fenced in using a wall on one side and 210 meters of fencing for the other three sides. The area A(z) in square meters
of the playground is a function of the length z in meters of the side parallel to the wall.
What is the area of the playground when z = 50?
square meters
Answers
b) A(x) = x(200 -2x)
c) 0 < x < 100
Step-by-step explanation:
b) The remaining fence, after the two sides of length x are fenced, is 200-2x. That is the length of the side parallel to the building. The product of the lengths parallel and perpendicular to the building is the area of the playground:
A(x) = x(200 -2x)
__
a) A(50) = 50(200 -2·50) = 50·100 = 5000 . . . . m²
__
c) The equation makes no sense if either length (x or 200-2x) is negative, so a reasonable domain is (0, 100). For x=0 or x=100, the playground area is zero, so we're not concerned with those cases, either. Those endpoints could be included in the domain if you like.
An engineer wants to obtain a random sample of the output from a process manufacturing digital cameras. The process operates 16 hours per day, five days per week. She selects five cameras on Monday, Tuesday and Wednesday at random between 3pm and 4pm each day. This is an example of
Answers
Answer:
Non-Random Sample
Step-by-step explanation:
A sample in which each element has an equal chance of being selected is known as a random sample. Otherwise, a sample is said to be a non - random sample.
An engineer selects five cameras on Monday, Tuesday, and Wednesday at random between 3 pm and 4 pm each day. So, the cameras that are not in the process of production between 3 pm and 4 pm have no chances of being selected.
So, each camera does not have an equal chance of being selected.
This is an example of a non - random sample.
A round pencil is sharpened to a cone shape at both ends.calculate the volume of the pencil if the two radius is 1.2 and heights are 8cm
Answers
Answer:
A round pencil is sharpened at both ends the hight of the pencil is 16cm the length of the pencil is 1cm the radius of the two sharpened ends is 16cm 1.2cm
Calculate the volume using the value 22/7.
Step-by-step explanation: