The first five term of the sequence is as follows:
first term = 8second term = 3Third term = 0fourth term = -1fifth term = 0What is a Sequence?A sequence is an ordered list of numbers . Therefore,
nth term = (4 - n)² - 1where
n = number of term
let's find the first 5 term as follows:
first term = (4 - n)² - 1 = (4 - 1)² - 1 = 8second term = (4 - n)² - 1 = (4 - 2)² - 1 = 3Third term = (4 - n)² - 1 = (4 - 3)² - 1 = 0fourth term = (4 - n)² - 1 = (4 - 4)² - 1 = -1fifth term = (4 - n)² - 1 = (4 - 5)² - 1 = 0learn more on sequence here: https://brainly.com/question/14147167
what negative number is the same distance from 0 as the number +4
Answer:
-4
Step-by-step explanation:
They would be the same distance considering 0 is your midpoint.
brainliest to best answer
Step-by-step explanation:
geometric sequence means that every term is created by multiplying the previous term by a constant factor.
we can see the constant factor directly, I am sure, but let's do it formally correct :
-1/8 × f = -1/4
f = -1/4 / -1/8 = -1/4 × -8/1 = -8/-4 = 2
so, yes, every new term of the sequence is created by multiplying the previous term by 2.
a0 = -1/8
a1 = a0 × 2 = -1/8 × 2 = -2/8 = -1/4
a2 = a1 × 2 = a0 × 2×2 = -1/8 × 2×2 = -1/8 × 4 = -4/8 = -1/2
...
an = a0 × 2^n = -1/8 × 2^n
a6 = -1/8 × 2⁶ = -1/8 × 64 = -8
so, the only questing is, where does your teacher start the count for such a geometric sequence ?
do you call the first term a0 or a1 ?
my solution above starts with a0.
but if it should start with a1, then we need to reduce the exponents of 2 by 1 :
an = -1/8 × 2^(n-1)
and a6 would be
a6 = -1/8 × 2⁵ = -1/8 × 32 = -4
A supermarket finds that the number of boxes of a new cereal sold increases each week. In the first week, only 20 boxes of the cereal
were sold. In the next week, 53 boxes of the cereal were sold and in the third week 86 boxes of 86 the cereal were sold. The number of
boxes of cereal sold each week represents an arithmetic sequence.
What is the explicit rule for the arithmetic sequence that defines the number of boxes of cereal sold in week n?
Answer:
an=33n-13
Step-by-step explanation:
86-53=33
53-20=33
That's where 33n comes from
-13 comes from
20-33=-13
Hope this helps! :)
solve please !!!!!!!!
Assuming that this is a parallelogram, that means the angle opposite each other like Angle L to Angle J and Angle K to Angle M are equal in angle measure.
Thus Angle L is 98 degrees like Angle J
Hope that helps!
Please help!
I need it like ASAP!!
Thank you so much though
can someone help me with this question please.
Answer:
b
Step-by-step explanation:
*View attached graph*
12 divided by 276 long division
Answer: Divide 276 by 12
276 divided by 12 is 23
Solution for 276 divided by 12
✍️See below how to solve this division manually.
276 divided by 12 - Long Division Solution
The solution below uses the "Long Division With Remainders Method". It is one of two existing methods of doing long division.
Start by setting the divisor 12 on the left side and the dividend 276 on the right:
23 ⇐ Quotient
―――
12)276 ⇐ Dividend
24
--
36
36
--
⇐ Remainder
276 divided by 12 is an exact division because the remainder is zero.
Step-by-step explanation: Hope this helpsWhat effect did Geometry bring to the world/humans? Explain your answer in 3-5 sentences.
Answer:
Geometry has influenced how civilizations have constructed buildings and stadiums. In Ancient Greece, the “golden rectangle” was used to build aesthetically pleasing buildings that look to be in perfect proportion. It helps in the accurate calculation of the physical distances. It is employed in the field of astronomy to map the distances between stars & planets and between different planets. It also aids in the determination of a relationship between the movements of different bodies in the celestial environment.
Step-by-step explanation:
Pls, choose me as brainliest!
Write an algebraic expression to represent the situation. 3 times the sum of m and 7. *
Answer:
answer should 3(m +7).
Step-by-step explanation:
times = ×
sum = +
Answer:
3(m + 7)
hope it helps and if it does please give a crown and save a town :)
The times of all 15 year olds who run a certain race are approximately normally distributed with a given mean Mu = 18 sec and standard deviation Sigma = 1. 2 sec. What percentage of the runners have times less than 14. 4 sec? 0. 15% 0. 30% 0. 60% 2. 50%.
The percentage of runners having times less than 14.4 sec is 0.15%. Then the correct option is A.
What is normal a distribution?It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.
The times of all 15-year-olds who run a certain race are approximately normally distributed with a given mean (μ) = 18 sec and standard deviation (σ) = 1.2 sec.
The runners have times less than 14.4 sec.
The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.
[tex]\rm z-score = \dfrac{X - \mu}{\sigma }\\\\z-score = \dfrac{14.4- 18}{1.2}\\\\z-score = -3[/tex]
Then the Percentage will be
[tex]\rm P(X < 14.4) = P(z < -3) = 0.0013499 = 0.13499\ \% \approx 0.15\ \%[/tex]
More about the normal distribution link is given below.
https://brainly.com/question/12421652
In the diagram, △NPQ ∼ △NLM and PL = 8.
Answer:
60=3x+27(The corresponding elements of the angular triangles are similar.)
60-27=3x
33=3x
33/3=3x/3
11=x
x=11
A rectangle is 18 inches long and 12 inches wide.
What is the perimeter of this rectangle?
Answer:
60 inches
Step-by-step explanation:
perimeter =2×l+2×w
=2×18+2×12
=36+24
=60
∴The perimeter=60 inches.
hope it is correct!!!!
Sarah lives 3 9/10 miles from school. Her classmate, Roger, lives 1 mile from school. How much farther from school does Sarah live?
Answer:
2 9/10
Step-by-step explanation:
subtract the 1 mile from the 3 9/10 mile. kinda like 3-1 but then you put the other stuff on the end (9/10)
I'm pretty sure this is the correct answer
The area of a rectangle is 506 square metre. If its length is 23 metre, then find its breadth?
Answer:
The area of a triangle can be determined with the two side lengths, the length and breadth/width multiplied.
x = unknown value of breadth/width
23 = length
506 = the area of the two lengths multiplied
23(x) = 506
/23 /23
x = 22, 22 metres is it's breadth.
Answer:
22m is the breadth of the rectangle.
Step-by-step explanation:
Given:
Area of Rectangle is 506 m² . Length of the Rectangle is 23m.[tex] \: [/tex]
To Find:
Breadth of the rectangle.[tex] \: [/tex]
Solution:
As, we know,
[tex]{ \boxed{ \pink{Area _{(rectangle)} \: = length \times breadth}}}[/tex]
➝ 506m² = l × b
➝ 506m² = 23 × b
➝ b = 506/23 = 22
Hence, Breadth of the Rectangle is 22m.
[tex] \: [/tex]
Check:Area = length × breadth
➝ 23 × 22
➝ 506m²
______________________[tex]{ \sf{Additional \: Information}}[/tex]
[tex]\boxed{\begin {array}{cc}\\ \dag\quad \Large\underline{\bf{ \green{ Formulas\:of\:Areas:-}}}\\ \\ \star\sf Square=(side)^2\\ \\ \star\sf Rectangle=Length\times Breadth \\\\ \star\sf Triangle=\dfrac{1}{2}\times Base\times Height \\\\ \star \sf Scalene\triangle=\sqrt {s (s-a)(s-b)(s-c)}\\ \\ \star \sf Rhombus =\dfrac {1}{2}\times d_1\times d_2 \\\\ \star\sf Rhombus =\:\dfrac {1}{2}d\sqrt {4a^2-d^2}\\ \\ \star\sf Parallelogram =Base\times Height\\\\ \star\sf Trapezium =\dfrac {1}{2}(a+b)\times Height \\ \\ \star\sf Equilateral\:Triangle=\dfrac {\sqrt{3}}{4}(side)^2\end {array}}[/tex]
Isabella and her cousin Rodrigo have the same birthday, but Isabella is 15 years
older than Rodrigo. The equation y = x + 15 represents Isabella's age, y, when
Rodrigo is x years old. Which table of values shows this relationship?
X
0
15
1
16
2
17
3
18
у
Х
у
0
16
1
17
2
18
3
19
Х
у
0
0
1
15
2
30
3
45
х
у
0
15
1
30
2
45
3
60
Answer:
The first graph
Step-by-step explanation:
*View attached graph*
Hope this helps!
3 sin ^2 x - 3 sin ^4 x =0
I assume you're just solving for x. Factorize the left side as
3 sin²(x) - 3 sin⁴(x) = 3 sin²(x) (1 - sin²(x)) = 0
Recall that
sin²(x) + cos²(x) = 1
so that the equation further reduces to
3 sin²(x) cos²(x) = 0
Also recall the double angle identity,
sin(2x) = 2 sin(x) cos(x)
which lets us rewrite the equation as
3/2² (2 sin(x) cos(x))² = 3/4 sin²(2x) = 0
Solve for x :
3/4 sin²(2x) = 0
sin²(2x) = 0
sin(2x) = 0
2x = arcsin(0) + 2nπ or 2x = π - arcsin(0) + 2nπ
(where n is any integer)
2x = 2nπ or 2x = (2n + 1) π
x = nπ or x = (2n + 1)/2 π
Notice that this means the solution set is
{…, -2π, -3π/2, -π, -π/2, 0, π/2, π, 3π/2, 3π, …}
so we can condense the solution further to
x = nπ/2
with any integer n.
does anyone know this (-13w^2+13)-(-2w^2)
Plato answer
Answer:
-11w^2+13
Step-by-step explanation:
(-13w^2+13)-(-2w^2)
Distribute the minus sign
-13w^2+13+2w^2
Combine like terms
-13w^2+2w^2+13
-11w^2+13
Which values are outliers? 6. 1, 3. 9, 6. 4, 10. 6, 4. 4, 4. 5, 1. 6, 11. 2, 0. 8, 3. 9, 6. 5 Select Outlier or Not Outlier for each data point. Data Outlier Not Outlier 0. 8 Outlier – 0. 8 Not Outlier – 0. 8 1. 6 Outlier – 1. 6 Not Outlier – 1. 6 10. 6 Outlier – 10. 6 Not Outlier – 10. 6 11. 2 Outlier – 11. 2 Not Outlier – 11. 2.
Answer:
10 and 11
Step-by-step explanation:
An outlier is a number that is much larger or smaller than the general populous of numbers. For example, if there was a dot plot with dots clustered at 2, 3, and 5, but there was one or two dots around 10, then 10 would be considered an outlier.Let's put the numbers in order to see easier which numbers are outliers. I will not copy down repeating numbers.0, 1, 2, 3, 4, 5, 6, 10, 11.10 and 11 are isolated.If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.
3. Find the area.
I don’t know how to solve this
Answer:
50.24 cm^2
Step-by-step explanation:
r=4, so the answer is 16π. replacing π with 3.14 to get 50.24 cm^2
how do i estimate 13.5/5=?
Answer:
3
Step-by-step explanation:
Round to nearest 5 - 15
Divide 15 by 5 - 3
Answer:
5% of 13.5 is 0.675
Step-by-step explanation:
We need to determine 5% of 13.5 now and the procedure explaining it as suchStep 1: In the given case Output Value is 13.5.Step 2: Let us consider the unknown value as x.Step 3: Consider the output value of 13.5 = 100%.Step 4: In the Same way, x = 5%.Step 5: On dividing the pair of simple equations we got the equation as under13.5 = 100% (1).x = 5% (2).(13.5%)/(x%) = 100/5Step 6: Reciprocal of both the sides results in the following equationx%/13.5% = 5/100Step 7: Simplifying the above obtained equation further will tell what is 5% of 13.5x = 0.675%Therefore, 5% of 13.5 is 0.675
Express cos F as a fraction in simplest terms.
F
15
E
28
D
Answer:
cos F is 15/28
Step-by-step explanation:
Use SOH CAH TOA
CAH is for cosine and it's Adjacent over Hypotenuse
the adjacent side of F is 15 and the hypotenuse is 28
So 15/28 which does not simplify
Hope this helped! :)
help please i need help
Answer:
y = 500(1.10)^4
Step-by-step explanation:
We put the 1 in 1.10 instead of 0.10, because we're trying to find 10% of $500, added to the $500 itself. 1 is the same as 100%. 100% here is $500. So by doing 1.10, we're finding 110% or $500 + 10% of $500.
Hope this makes sense :))
What is the value of sec 65 (degrees)? I cannot understand how to input this into my calculator any help is much appreciated!!
Answer:
SEC 65 DEGREES= 2.366
Step-by-step explanation:
JUST USE SEC OF 65, MAKE SURE YOU SELECT DEGRES FOR AN ANSWER
Add the polynomials.(8x2-7x+7)+(8x3-5x)
Answer:
8x^3+8x^2-12x+7
Answer:
8x³ + 8x² - 12x + 7
Step-by-step explanation:
(8x² - 7x + 7) + (8x³ - 5x)
8x² - 7x + 7 + 8x³ - 5x
8x³ + 8x² - 12x + 7
I hope this helps!
(will mark brainliest to whoever responds!) PLEASE HELP ME OUT :)
Answer:
hi
Step-by-step explanation:
The table shows the number of flowers in four bouquets and the total cost of each bouquet. A 2-column table with 4 rows. The first column is labeled number of flowers in the bouquet with entries 8, 12, 6, 20. The second column is labeled total cost (in dollars) with entries 12, 40, 15, 20. What is the correlation coefficient for the data in the table? –0. 57 –0. 28 0. 28 0. 57.
The correlation coefficient for the data in the given table is 0.28.
What is the correlation coefficient?Correlation coefficients are used to measure how strong a relationship is between two variables.
Number of flowers X Total cost(in$) Y
8 12
12 40
6 15
20 20
∑X=46 ∑X=87
The image of the correlation coefficient formula has been attached.
X mean = 11.5
Y mean = 21.75
Using the attached formula
Correlation coefficient r = 0.28
Therefore, the correlation coefficient for the data in the given table is 0.28.
To get more about correlation coefficient visit:
https://brainly.com/question/10714306
Find the value of x then classify the triangle
1. How many 1 halves are in 2? 2. How many 1 fifths are in 3? 3. How many 1 eigths are in 1 and 1 fourth
Answer:
2; 3; 10
Step-by-step explanation:
1.) There are 4 halves (1/2) in 2; 4/2 = 2
2.) There are 15 1 fifths (1/5) in 3; 15/5 = 3
3.) There are 10 1 eights (1/8) in 1 and 1 fourth; 1.25/0.125 = 10
What is the median of this data set? {16, 16, 16, 19, 20, 22, 23, 24, 24} Enter your answer in the box.
[tex][Hello,BrainlyUser][/tex]
Answer:
20
Step-by-step explanation:
To Find the Median do the following below;
Arrange data values from lowest to highest valueThe median is the data value in the middle of the setIf there are 2 data values in the middle the median is the mean of those 2 values.The median is the data value separating the upper half of a data set from the lower half.16, 16, 16, 19, 20, 22, 23, 24, 24
16, 16, 16, 19, 20, 22, 23, 24, 24
16, 16, 16, 19, 20, 22, 23, 24, 24
16, 16, 16, 19, 20, 22, 23, 24, 24
Thus, Median is 20.
[CloudBreeze]
Answer:
20 no explanation
60-minute television program 25%of the Time is used for commercials and 5%credits