Answer:
19
Step-by-step explanation:
Consider the sequence 3, 6, 12, 24, 48, .... (a) Write a recursive rule to represent the sequence. (b) Write an explicit rule to represent the sequence. (c) Find the 15th term in the sequence.
Answer:
a. a[1] = 3; a[n] = 2a[n-1]
b. a[n] = 3·2^(n-1)
c. a[15] = 49,152
Step-by-step explanation:
Each term of the given sequence is 2 times the previous term. (This description is the basis of the recursive formula.) That is, the terms of the given sequence have a common ratio of 2. This means the sequence is geometric, so the formulas for explicit and recursive rules for a geometric sequence apply.
The first term is 3, and the common ratio is 2.
(a)The recursive rule is ...
a[1] = 3
a[n] = 2×a[n-1]
__
(b)The explicit rule is ...
a[n] = a[1]×r^(n-1)
a[n] = 3×2^(n-1)
__
(c)The 15th term is ...
a[15] = 3×2^(15-1) = 3×2^14
a[15] = 49,152
Select the correct answer.
Answer:
?????
Step-by-step explanation:
HELPPP ILL GIVE BRAINLIST ALSO Interpret each plotted point in the graph.
Answer:
(0, 0) : traveling 0 inches in 0 seconds
(1, 1.5) : traveling 1.5 inches in 1 second
(3, 4.5) : traveling 4.5 inches in 3 seconds
The unit rate is
1.5 inches a second
1.5 / 1 i think thats how you write it
A politician estimates that 61% of his constituents will vote for him in the coming election. How many constituents are required for a random sample to obtain a margin of error of at most 0. 03 with 95% confidence
Using the z-distribution, as we are working with a proportion, it is found that 1016 constituents are required.
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.The margin of error is given by:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
The estimate is of [tex]\pi = 0.61[/tex], while the margin of error is of M = 0.03, hence solving for n we find the minimum sample size.
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.96\sqrt{\frac{0.61(0.39)}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.96\sqrt{0.61(0.39)}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.61(0.39)}}{0.03}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.61(0.39)}}{0.03}\right)^2[/tex]
[tex]n = 1015.5[/tex]
Rounding up, 1016 constituents are required.
More can be learned about the z-distribution at https://brainly.com/question/25890103
Bag A contains 5x coins.
Bag B contains 3x coins.
8 coins are taken from Bag B and put into Bag A
The ratio of coins in Bag A to Bag B is now 11:5
Work out the total number of coins.
Answer:
given ,
number of coins in bag A = 5x
number of coins in bag B = 3x
_____________________________________
According to Question ,
8 coins are taken from Bag B and put into Bag A
The ratio of coins in Bag A to Bag B is now 11 : 5
therefore ,
[tex] \frac{5x + 8}{3x - 8} = \frac{11}{5} \\ \\ 5(5x + 8) = 11(3x - 8) \\ \\ 25x + 40 = 33x - 88 \\ \\ 33x - 25x = 40 + 88 \\ \\ 8x = 128 \\ \\ x = \cancel\frac{128}{8} \\ \\ \fbox{x =16} [/tex]
now ,
[tex]no. \: of \: coins \: in \: bag \: A = 5x \\ \dashrightarrow{5 \times 16 = 80 \: coins}[/tex]
[tex]number \: of \: coins \: in \: bag \: B = 3x \\ \dashrightarrow{3 \times 16 = 48 \: coins}[/tex]
[tex]total \: number \: of \:coins = 80 + 48 \\ \dashrightarrow{ 128 \: coins}[/tex]
hope helpful :D
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER PLEASE
Answer:
3.0625[tex]\pi[/tex] ft^2
Step-by-step explanation:
A=[tex]\pi[/tex]r^2
A=[tex]\pi[/tex]1.75^2
A=3.0625[tex]\pi[/tex]
3.0625[tex]\pi[/tex] ft^2
Compare to 0:
-x^2 + 10x - 25
Answer:
x = 5
Step-by-step explanation:
-x² + 10x - 25 = 0
x = {-10±√((10²)-(4*-1*-25) / (2*-1)
x = {-10±√(100-100)} / -2
x = {-10)/-2
x = 5
Comprobación:
- (5²) + 10*5 - 25 = 0
-25 + 50 - 25 = 0
Need help on this question ASAP please please !!
At the state fair, 2 bags of mini donuts and 4 turkey legs cost $18.50. for $13.75, you can buy 3 bags of mini donuts and 2 turkey legs.using these amounts, which system of equations can be used to find the cost of 1 bag of mini donuts?
What is the value of t?
t = 180 - 66 - 57 = 57°
How many solutions does the equation 5x + 3x − 4 = 10 have? (4 points) Zero One Two Infinitely many
Hey there!
Let's solve this equation.
5x+3x-4=10
add the x's
8x-4=10
add 4 to both sides
8x=10+4
8x=14
divide both sides by 8
x=14/8
Reduce the fraction;
x=7/4 (improper fraction)
x=1+3/4 (mixed number)
Hence, the equation has 1 solution.
Hope everything is clear.
Let me know if you have any questions!
#ILoveLearning
:-)
Answer:
i presume it has
Step-by-step explanation:
only 1 solution.
combine like terms & then solve
The number of people at last Saturday's Norchester City game was 12 400. Season ticket holders made up 3/8 of the crowd. How many season ticket holders were there?
Answer:
4,650.
Step-by-step explanation: If the total number of people at the game is 12,400 and 3/8 of those people were Season ticket holders. You simply multiply 12,400 x (3/8).
Cameron will spend $285.00 for a car repair. He has $277.00 in the account linked to his debit card. The bank charges a $7 penalty fee per day for using his debit card to make a purchase if he does not have enough funds in his account. What will he pay altogether if he chooses to use his debit card and does not put any more money in his account for 6 days?
Using proportions, considering the daily penalty fee paid, it is found that he will pay $50 altogether.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, since he will spend $285.00, having $277.00, he will be $8.00 in debt.
He will pay a penalty fee of $7.00 per day for 6 days, along with the $8.00, hence the total payment in dollars will be given by:
P = 6 x $7.00 + $8.00 = $50.00.
More can be learned about proportions at https://brainly.com/question/24372153
If 2a+2/a=4, what is the value of 2a^2+2/a^2
Answer:
4
Step-by-step explanation:
2a + 2 / a = 4
2a + 2 = 4a
4a - 2a = 2
2a = 2
a = 1
2a² + 2 / a²
a = 1
2(1²) + 2 / 1²
2 + 2 / 1
4
A company has an opportunity to bid on three contracts. determine which would be the best investment given the information in the table below. probability of profit and loss by contract contract profit, probability of profit probability to break even loss, probability of loss southeast $45,000, 50% 30% $6,000, 20% southwest $60,000, 35% 40% $10,000, 25% california $112,000, 20% 40% $40,000, 40% southeast southwest california all contracts include a probability for loss.
The best investment of the company is in southeast contract. The probability of profit of this contract is maximum 50% and of loss is minimum 20%.
What is probability?Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
A company has an opportunity to bid on three contracts. Probability of profit and loss by all three contract is listed in the table below.
Contract profit, (P)* of profit, (P)* to break even loss, (P)* of loss
Southeast $45,000, 50% 30% $6,000, 20% Southwest $60,000, 35% 40% $10,000, 25% California $112,000, 20% 40% $40,000, 40%The company which will give the maximum profit probability and minimum loss probability will be the best investment.
In the above table, the southeast contract has the maximum probability of profit, which is 50% among all the contracts. Similarly, it has the lowest probability of loss, which is 20%.
Thus, the best investment of the company is in southeast contract. The probability of profit of this contract is maximum 50% and of loss is minimum 20%.
Learn more about the probability here;
https://brainly.com/question/24756209
Answer:
It's A. Southeast
Step-by-step explanation:
solve pls brainliest
Answer:72
Step-by-step explanation:6 x 12=72
A ball is thrown from an initial height of 4 feet with an initial upward velocity of 33 ft/s. The ball's height h (in feet) after t seconds is given by the following.
h= 4 + 33t - 16t^2
CAN SOMEONE PLEASE PLEASE HELP ME
Find all values of t for which the ball's height is 20 feet.
Round your answer(s) to the nearest hundredth.
Answer:
Two methods both tell us the ball is at 20 feet height at 0.783 seconds going up and 1.28 seconds on the way down.
Step-by-step explanation:
The question can be answered by either calculation or by graphing.
Calculation:
Set the equation to h = 20 feet and solve with the quadratic equation.
h= 4 + 33t - 16t^2
4 + 33t - 16t^2 = 20
- 16t^2 + 33t + 4 = 20
- 16t^2 + 33t - 16 = 0
I find solutions of 0.779 and 1.28 seconds.
Graphing:
See the attached graph.
The graph shows solutions of 0.783 and 1.28 seconds.
Both methods show the ball to be at 20 feet height at 0.783 seconds going up and 1.28 seconds on the way down.
A deposit earns $102 after 36 months at a simple interest rate of 5%
What is the time and total value
Answer:
285.6
Step-by-step explanation:
formula= I=PRT
i=?
p=102
r=5
t=36 months
5=0.05
102(1+(0.05x36)=285.6
Answer:
Step-by-step explanation: 276.9
Are my answers correct?
Answer:
Check the last answer...
Step-by-step explanation:
Look at image above...
Marley bought four bandannas for $3.00 each and two shorts for $15.00
each. If she pays 8.5% sales tax on her purchase, what is her total cost?
Answer:
45.57
Step-by-step explanation:
We first need to multiply :)
4 x 3.00 = 12.00
15.00 x 2 = 30.00
Now we add!
12.00 + 30.00 = 42.00
And we multiply one more time to find the answer!!
42 x 0.085 = 3.57
And we now add one more time!!
42.00 + 3.57 = 45.57
The answer will be $45.57. :)
Have an amazing day!!
Please rate and mark brainliest!!
Ali played on his PSP for 3/4 hour.
He then did his homework for 2/3 hour.
On which activity did he spend more time on ?
Answer:
Ali played on his PSP longer
Step-by-step explanation:
3/4 of an hour is long than 2/3 because 3/4 of an hour is 45 minutes and 2/3 of an hour is 40 minutes and 45 > 40
What is the constant of
proportionality? Explain what
it means.
Step-by-step explanation:
the ratio that relates two given values in what is known as a proportional relationship.
self explainatory
What is the value represented by the digit 8 after 7,824 is divided by 10
Answer:
See below.
Step-by-step explanation:
7,824/10=782.4
782.4
|
The 8 is in the tens place. It represents 80.
-hope it helps
Answer:
80
Step-by-step explanation:
7824÷10=782.4
Therfore the 8 is in the tens place meaning that the 8 in this is 80
The table displays the scores of students on a recent exam. Find the mean of the scores to the nearest ioth. Score Number of Students 55 8 60 6 65 3 70 4 75 9 80 3 85 3 90 4
Answer:
38.75
Step-by-step explanation:
Not sure what you mean by ioth but when you add up all the numbers and divide by n, you get 38.75 (hopefully you can round it to whatever you want)
solve each of the following equations
1)x+8-15
Answer:
x - 7
Step-by-step explanation:
x + 8 - 15
Subtract 15 - 8 = 7
x - 7
~Lenvy~
Need help on my problem
Answer:
Step 1: 2*5 - 4y = 2
Step 2: 10 - 4y = 2
Step 3: -4y = -8
Step 4: y = 2
Step-by-step explanation:
PLEASEE answerrrrrr
Is this equation an identity? (2x+1)^2-(x+1)^2=3(x+1)^2-1
Answer:
See below, please
Step-by-step explanation:
Left side
[tex] {(2x + 1)}^{2} - {(x + 1)}^{2} [/tex]
[tex] = (4 {x}^{2} + 4x + 1) - ( {x}^{2} + 2x + 1)[/tex]
[tex] = (4 {x}^{2} - {x}^{2} ) + (4x - 2x) + (1 -1 )[/tex]
[tex] = 3 {x}^{2} + 2x[/tex]
Right side
[tex]3 \times {(x + 1)}^{2} - 1[/tex]
[tex] = 3 \times ( {x}^{2} + 2x + 1) - 1[/tex]
[tex] = 3 {x}^{2} + 6x + 3 - 1[/tex]
[tex] = 3 {x}^{2} + 6x + 2[/tex]
After compared with both sides, we can make a conclusion that
This equation isn't an identity.
Based on the lengths of the segments in the hyperbola below, how long is the dashed line? Show your work.
Check the picture below.
keeping in mind that the difference of the distances of d1 and d2 is always a consistent constant value, as you can see in the left-hand-side of the picture, if we keep on sliding on the hyperbolic line shrinking d2 from being slanted to be horizontal, once we put d1 and d2 on a horizontal line, as you see on the right-hand-side, if we subtract the pink line from the orange line, what's leftover is, yeap, you guessed it.
find the highest common factor (HCF) of 30 and 45
Answer:
The highest common factor of 30 and 45 is 15.
Step-by-step explanation:
factors of 30 = 1, 2, 3, 4, 5, 6, 10, 15, 30 ; factors of 45 are = 1, 3, 5, 9, 15, 45)
Greatest common factor is 15
Answer:
15.
Step-by-step explanation:
HCF is also called GCD. So, you divide both numbers with a common number that can divide both numbers at the same time without a remainder.
3 30 45
5 10 15
2 3
3 × 5 = 15