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-10-15[tex]\large\blue{ChaEunWoo2009}[/tex]
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Find the 16" term of the arithmetic sequence whose common difference is d= 8 and whose first term is a, = 1.
0
(0 미미
Х
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Answer:
[tex]a_{16} = 121[/tex].
Step-by-step explanation:
To go from the first term [tex]a_{1}[/tex] of this sequence to the second term [tex]a_{2}[/tex], add [tex]d[/tex] to [tex]a_{1}\![/tex].
To go from the first term [tex]a_{1}[/tex] of this sequence to the third term [tex]a_{3}[/tex], add [tex]2\, d[/tex] to [tex]a_{1}\![/tex].
In general, going from the first term [tex]a_{1}[/tex] of an arithmetic sequence to the [tex]k[/tex]th term, add [tex](k - 1)\, d[/tex] to [tex]a_{1}\![/tex].
Thus, given an arithmetic sequence with [tex]a_{1}[/tex] as the first term and [tex]d[/tex] as the common difference, the [tex]k[/tex]th term of this sequence would be [tex]a_{k} = a_{1} + (k - 1)\, d[/tex].
In this question, [tex]a_{1} = 1[/tex] and [tex]d = 8[/tex] for this arithmetic sequence. The [tex]16[/tex]th term of this sequence would be:
[tex]\begin{aligned}a_{16} &= 1 + (16 - 1) \times 8 \\ &= 1 + 15 \times 8 \\ &= 121\end{aligned}[/tex].
I DON'T KNOW HOW TO PROVE THIS IDENTITY, CAN U GUYS HELP ME ?
Try this way, all the details are in the attachment.
Anyone know this!? Plz heppl
Answer:
-2+I nhgjkhgggggcdffdssssdddddfffyhjbnj
10 ft
8 ft
D
Find the area of this figure. Round your
answer to the nearest hundredth. Use
3.14 to approximate a.
A = [? ] ft2
Please Colin how to do it! I need notes for final
Answer:
32
Step-by-step explanation:
of
recipe. Which shows the correct amount of flour you need in the most reduced
form?
HE
Answer:
You would need 1/5 cups of flour.
Step-by-step explanation:
percent change of 3.25 to 2.95
Answer:
-9.23%
Step-by-step explanation:
.
A large pool has a faucet to allow water to enter the pool and a drain to allow water to leave the pool.
Each minute, the faucet allows 14 2/3 gallons of water to enter the pool, and the drain allows 16 3/4 gallons to leave the pool.
What is the change in the amount of water in the pool after 1 1/2 minutes?
Enter your answer as a simplified mixed number by filling in the boxes.
Answer:
-3 1/8 Gallons
Step-by-step explanation:
First, you need to understand how many gallons are being lost per minute.
14 2/3 - 16 3/4 =1 1/12
After this, you just need to multiply 1 1/12 by 1 1/2. This amounts to 3 1/8.
There's your answer!
Answer:
the other guy who answered is correct aswell.
The answer is - 3 1/8
need proof? here ya go-
Order the numbers in each exercise from least to greatest
-1 2/3, 1.6, -1 4/5
Answer:
-1 2/3, 1.6, 1 4/5
Step-by-step explanation:
Finish labeling the number of elements in the regions in the Venn diagram shown to the right, where the subsets
A, B, and C of the universe, U, satisfy the following conditions.
n(U) = 100
n(ANB) = 14
n(A) = 40
n(BNC) = 13
n(B) = 50
n(ANC) = 14
n(C)= 30
n(ANBNC) = 7
q=
S=
t=
V=
w=
X=
Answer:
t=14
v=13
q=12
s=23
w=-4
x=28
Step-by-step explanation:
we know that the universal set =100
so, everything in it must add up to 100
first, from the information given to us,
t= n(A n C)= 14
v=n(B n C)= 13
to find q
we know from our guide that n(A) =40
which means everything inside A will add up to 40
therefore,
q + 7 + 7 + t = 40
and we already know that t = 14
so, that will be;
q + 7 + 7 + 14 = 40
therefore, q = 12
to find s,
we all know that n(B) = 50
which means that everything inside B will be equal to 50
therefore,
s + 7 + 7 + v = 50
and we know that v = 13
therefore,
s + 7 + 7 + 13 = 50
and s will end up to be = 23
to find w,
we know that n(C) = 30
so, everything in C end up to be all equal to 30
therefore,
t + 7 + w + v = 30
from our solution, t = 14, v = 13
so,
14 + 7 + w
q = 19, s = 30, t = 7, v = 6, w = 10, x = 7.
What is a set ?A set is a collection of well defined objects.
According to the given question of Venn diagram given,
n(U) = 100, n(A∩B) = 14, n(A) = 40, n(B∩C) = 13, n(B) = 50, n(A∩C) = 14, n(C) = 30 and n(A∩B∩C) = 7.
t = n(A∩C) - n(A∩B∩C).
t = 14 - 7
= 7.
q = n(A) - [ n(A∩B) + t ]
q = 40 - ( 14 + 7 )
q = 40 - 21
q = 19.
v = n(B∩C) - n(A∩B∩C)
v = 13 - 7
v = 6.
s = n(B) - [ n(A∩B) + v ]
s = 50 - ( 14 + 6 )
s = 30.
w = n(C) - [ n(A∩C) + v ]
w = 30 - ( 14 + 6 )
w = 10.
We know x = n(U) - q - s - w - n(A∩B) - n(B∩C) - n(A∩C) + n(A∩B∩C).
x = 100 - 19 - 30 - 10 - 14 - 13 - 14 + 7.
x = 7.
learn more about sets here :
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2. Arcadia charges players a $15 admission fee to their gaming centre and $5 per game.
b) What is the rate of change for the relation between total cost and number of games and what is its
meaning in this relation?
c) What is the initial value for this relation and what is its meaning?
Answer:
1) The relationship is times 3
2) it is 5x3 so this the teh relation
Step-by-step explanation:
I got 100% in the question and qiz
Which table corresponds to the equation y = -3x -2?
Whoever gets it right gets 50 points!
Answer:
A.
Step-by-step explanation:
x y
-2 4
-1 1
0 -2
1 -5
2 -8
How many 1/5 cm can be cut from a 30 cm piece of ribbon
Answer:
6 ang
Step-by-step explanation:
mark me as brainliest
HELPPPPP Find all the side angles.
Answer:
28, 3x 8
Step-by-step explanation:
Four fifth of a number 'm' is 4 more than three-fourth of the same number. Find the number.
Answer:
Let the number be x. Then, 4/5x - 3/4x = 4. Hence, The required number is 80.
Step-by-step explanation:
Let the number be x.
According to the question, lets form an equation
5
4x −4
3x +4
⇒ 5 4x − 4
3x =4
20
16x − 15x =4
⇒ 20x =4
⇒ x=4×20
⇒x=80
∴ The number is x=80.
As part of an environmental impact study, a power company wants to estimate the difference in mean water temperature between the discharge of its plant and the offshore waters. How many sample measurements must be taken at each site to estimate the true difference between means to within .2°C with 95% confidence? Assume that the standard deviation in readings is about 1.5°C at each site and the same number of readings will be taken at each site.
Using the z-distribution, it is found that 217 sample measurements should be taken at each site.
The margin of error of a z-confidence interval is given by:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
z is the critical value. [tex]\sigma[/tex] is the population standard deviation. n is the sample size.The first step is finding the critical value, which is z with a p-value of [tex]\frac{1 + \alpha}{2}[/tex], in which [tex]\alpha[/tex] is the confidence level.
In this problem, [tex]\alpha = 0.95[/tex], thus, z with a p-value of [tex]\frac{1 + 0.95}{2} = 0.975[/tex], which means that it is z = 1.96.
Estimate of the standard deviation of 1.5, thus, [tex]\sigma = 1.5[/tex].
We want the sample for a margin of error of 0.2ºC, thus, we have to solve for n when [tex]M = 0.2[/tex].
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.2 = 1.96\frac{1.5}{\sqrt{n}}[/tex]
[tex]0.2\sqrt{n} = 1.96(1.5)[/tex]
[tex]\sqrt{n} = \frac{1.96(1.5)}{0.2}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96(1.5)}{0.2})^2[/tex]
[tex]n = 216.1[/tex]
Rounding up:
217 sample measurements should be taken at each site.
A similar problem is given at https://brainly.com/question/17039768
Find the value of x and then length of each diagonal.
AC = 8x - 4
BD = 6x + 10
When Jerome travels on the highway, he sets his cruise control at 65 mi/h. The function f(x)=65x represents his total distance f(x) when he has traveled x hours. How many miles will he have travelled after 3.5 hours of driving on the highway
The number of miles that he will have traveled after 3.5 hours of driving on the highway is 227.5 miles.
The function given to solve the question is: f(x) = 65x
where, x = number of hours
Therefore, when he travelled for 3.5 hours, the number of miles will be gotten by multiplying 65 by 3.5.
f(x) = 65x
= 65 × 3.5
= 227.5 miles.
Therefore, the number of miles that he will have travelled after 3.5 hours of driving on the highway is 227.5 miles.
Read related link on:
https://brainly.com/question/24987977
There are 450 kids in 6th grade. out of these kids 40% chose French as their connection. how many kid chose French?
Answer:
180 kids chose French
Step-by-step explanation:
40/100 = x/450
4/10 = x/450
10•45= 450
4•45= 180
If the temperature is 30, what is the temperature in Fahrenheit?
Answer: 86
Step-by-step explanation:
Answer:
It will be 86.0 Fahrenheit
Step-by-step explanation:
If 3 computer disks and 5 notebooks cost $7.50 and 4 computer disks and 2 notebooks cost $6.50, how much does 1 computer disk cost?
Group of answer choices
14+3(12+2)-5 to the power of 2=
show your work.
Please help me and can you explain step by step please
Answer:
16 robots
Step-by-step explanation:
Each worker can move 12 boxes/minute and there are 24 workers.
24 x 12 = 288
Divide the total work by 18 (since a robot can move 18 boxes/minute)
288 ÷ 18 = 16
What is the range?can someone please help I forgot to study
Answer
The range is the difference between the largest and smallest numbers.
Step-by-step explanation:
The range is the difference between the largest and smallest numbers.
Find the value of x in each case:
Answer:
Sorry i don't know but i need these points *Lol* i am honest
Step-by-step explanation:
if someone could help me I'd be ready greatful
Answer:
65
Step-by-step explanation:
The chart shows data for an object moving at a constant acceleration. A 2 column table with 4 rows. The first column is labeled time in seconds with entries 0, 1, 2, 3. The second column is labeled velocity in meters per second with entries 0, X, Y, Z. Which values best complete the chart? X: 0 Y: 0 Z: 0 X: 2 Y: 4 Z: 6 X: 3 Y: 3 Z: 3 X: 1 Y: 5 Z: 8
Answer:
its B
Step-by-step explanation:
X:2
Y:4
Z:6
The values that best complete the chart as per the concept of ratio are X:2, Y:4, and Z:6.
To determine the correct values for the chart, let's analyze the given information about an object moving at a constant acceleration:
The first column represents time in seconds (0, 1, 2, 3).
The second column represents velocity in meters per second (0, X, Y, Z).
Since the object is moving at a constant acceleration, its velocity is changing by the same amount in equal time intervals.
We can use the formula for constant acceleration:
Velocity (V) = Initial Velocity (U) + (Acceleration × Time)
Given that the object starts from rest (initial velocity, U = 0), we can deduce the following:
At time 1 second (T = 1), the object's velocity is X m/s.
At time 2 seconds (T = 2), the object's velocity is Y m/s.
At time 3 seconds (T = 3), the object's velocity is Z m/s.
Based on this information, the correct values for the chart are:
X: 2 (Velocity at 1 second is 2 m/s)
Y: 4 (Velocity at 2 seconds is 4 m/s)
Z: 6 (Velocity at 3 seconds is 6 m/s)
To learn more about the ratio;
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What is the quotation?
Answer:
the quotient is the result so 4.25
9•(c + 3) = 9•c +9•3
Choose the property of real numbers that justifies the equation
Answer: Distributive Law
a girl bought 14/3 kilogram of onion at the market which she put in 7 bags each holding an equal quantity. How many pounds of onions were in each bag?
Answer:
.66 are in each bag.
Step-by-step explanation:
14/3 = 4.66666666667
then you grab the answer for 14/3 and divide by 7
this in turn will get you .66 repeated
so .66 of a pound is in each 7 bags.
The owner invested 18,400 in the company in exchange for its common stock. The company purchased 1,350 cash in supplies. The owner invested 11,700 of equipment for more common stock. The company purchased 370 of additional supplies on credit. The company purchased land for 10,700 cash
Answer:
Total expenses: $34,520
Money needed for profit: $34521
Is this a good idea: Not unless he is prepared for it to go under...
Step-by-step explanation:
