Use inductive reasoning to determine the next two terms in each sequence: a) 1, 3, 7, 15, 31 ....

Answers

Answer 1

Answer:

63,127

Step-by-step explanation:

the interval between each number is multiplied by 2

such as between 1 and 3 we have 2 so 2×2=4

the 4+3=7 and so on

Answer 2

Answer: 63, 127

Step-by-step explanation: 1+2=3; 3+4=7; 7+8=15; 15+16=31; 31+32=63; 63+64=127

Or, if we call the first value  a1 , the sequence is given by  an=2n−1

The first approach to analyzing almost any sequence is to look at the differences of successive elements. In this sequence, that’s 2, 4, 8, 16, 32. That makes the answers above pretty easy.


Related Questions

What is Lim x → ∞ cos (x) ?

Answers

Answer:

non existent

Step-by-step explanation:

Hello, please consider the following.

[tex]\forall \ n \in \mathbb{N}\\\\cos((2n+1)\pi)=0\\\\cos(2n\pi)=1\\\\\text{So, there is no limit possible for } x \rightarrow +\infty[/tex]

Thank you.

Three bells ring at an interval of 10,20,and 30 minutes respectively. If they all ring together at 10:30 p.m.,at what time will they again ring together?​

Answers

Answer:

11:30 PM

Step-by-step explanation:

This question is essentially asking for the lowest common multiple of 10, 20, and 30. If we write out all the multiples of each, we get:

10: 10, 20, 30, 40, 50, 60, 70, ...

20: 20, 40, 60, 80, ...

30: 30, 60, 90, ...

As you can see, the lowest common multiple is 60, and 60 minutes after 10:30 PM is 11:30 PM.

11:30 each number 10,20,30 have the common number of 60

2-7 please help BRAINLEST

Answers

Answer:

y = 40

Step-by-step explanation:

  __y_  x  8      = 8 x 5

       8

y = 40

Answer:

y=40 is the answer.

Step-by-step explanation:

y/8=5

In order to find the value of y multiplying 8 on both sides

y/8✖️8=5✖️8

y=40 is the answer.

Hope it will help you :)

Lennox owns a big apple orchard. She ships her apples to various markets using a fleet of trucks. Every week, each truck goes on 3 trips, and for each trip Lennox gets 300 dollars. On a single trip, a truck delivers 50 packs, and each pack contains 12 kilograms of apples. Overall, Lennox sells 4500 dollars worth of apples in a week. How many trucks are in Lennoxs fleet

Answers

Answer:

her fleet has five trucks

Step-by-step explanation:

Answer: 5 trucks

Step-by-step explanation:

I hope this helps!

what is this bruh i need help?

Answers

Answer:

what do you need answers for

Step-by-step explanation:

Janie bought 3 apples and 9 bananas. Each apple costs $0.30, and each banana costs $0.90. Enter an expression representing the total cost. NEED ANSWER ASAP PLEASE

Answers

Answer:

0.3a + 0.9b

Step-by-step explanation:

1 apple = $0.3

1 banana = $0.9

a apples = $0.3 * a

b bananas = $0.9 * b

total cost = 0.3a + 0.9b

M is between points C and Q. CM=17 and CQ=21. What is MQ? Enter your answer in the box. MQ=

Answers

Answer:

4 units

Step-by-step explanation:

Since, M is between points C and Q, i. e. C - M - Q.

Therefore, CM + MQ = CQ

Therefore, 17 + MQ = 21

MQ = 21 - 17

MQ = 4

Answer:

M is between points C and Q. CM=17 and CQ=21.

What is MQ?

MQ= is 4, the same as on k12

Step-by-step explanation:

Find the numbers b such that the average value of f(x) = 7 + 10x − 9x2 on the interval [0, b] is equal to 8.

Answers

Answer:

The numbers [tex]b[/tex] such that the average value of [tex]f(x) = 7 +10\cdot x - 9\cdot x^{2}[/tex] on the interval [0, b] is equal to 8 are [tex]b_{1} \approx 1.434[/tex] and [tex]b_{2} \approx 0.232[/tex].

Step-by-step explanation:

The mean value of function within a given interval is given by the following integral:

[tex]\bar f = \frac{1}{b-a}\cdot \int\limits^b_a {f(x)} \, dx[/tex]

If [tex]f(x) = 7 +10\cdot x - 9\cdot x^{2}[/tex], [tex]a = 0[/tex], [tex]b = b[/tex] and [tex]\bar f = 8[/tex], then:

[tex]\frac{1}{b}\cdot \int\limits^b_0 {7+10\cdot x -9\cdot x^{2}} \, dx = 8[/tex]

[tex]\frac{7}{b}\int\limits^b_0 \, dx + \frac{10}{b} \int\limits^b_0 {x}\, dx - \frac{9}{b} \int\limits^b_0 {x^{2}}\, dx = 8[/tex]

[tex]\left(\frac{7}{b} \right)\cdot b + \left(\frac{10}{b} \right)\cdot \left(\frac{b^{2}}{2} \right)-\left(\frac{9}{b} \right)\cdot \left(\frac{b^{3}}{3} \right) = 8[/tex]

[tex]7 + 5\cdot b - 3\cdot b^{2} = 8[/tex]

[tex]3\cdot b^{2}-5\cdot b +1 = 0[/tex]

The roots of this polynomial are determined by the Quadratic Formula:

[tex]b_{1} \approx 1.434[/tex] and [tex]b_{2} \approx 0.232[/tex].

The numbers [tex]b[/tex] such that the average value of [tex]f(x) = 7 +10\cdot x - 9\cdot x^{2}[/tex] on the interval [0, b] is equal to 8 are [tex]b_{1} \approx 1.434[/tex] and [tex]b_{2} \approx 0.232[/tex].

Of the 200 graduate students who were interviewed for a par time position at a call center, 110 had a bicycle, 25 had a master card and 130 had a mobile phone. 50 of them had both, a bicycle and a master card, 30 had both, a master card and a mobile phone and 60 had both, a bicycle and mobile phone and 10 had all three. How many candidates had none of the three?

Answers

Answer:

65 candidates.

Step-by-step explanation:

From the above question, we have the following information

Total number of graduate students = n(B ∪ MP ∪ MC)

200 students

Number of students with bicycle = n(B) = 110

Number of students with MasterCard = n(MC) = 25

Number of students with Mobile phone = n(MP) = 130

Number of students with both bicycle and Master card = n ( B ∩ MC) = 50

Number of students with both Mastercard and Mobile phone = n ( MC ∩ MP) = 30

Number of students with both Bicycle and Mobile phone = n ( B ∩ MP) = 60

Number of students that had all three =

n ( B ∩ MP ∩ MC) = 10

Number of candidates that had none of the three = ( None of B ∩ MP ∩ MC)

Since this is a three element set, the formula is given as:

n(B ∪ MP ∪ MC) = n(B) + n ( MP) + n (MC) - n ( B ∩ MP) - n ( B ∩ MC) - n ( MC ∩ MP) + n (B ∩ MP ∩ MC) + ( None of B ∩ MP ∩ MC)

n(B ∪ MP ∪ MC) - ( None of B ∩ MP ∩ MC) = n(B) + n ( MP) + n (MC) - n ( B ∩ MP) - n ( B ∩ MC) - n ( MC ∩ MP) + n (B ∩ MP ∩ MC)

200 - ( None of B ∩ MP ∩ MC) = 110 + 25 + 130 - 60 - 50 -30 + 10

200 - ( None of B ∩ MP ∩ MC) = 110 + 25 + 130 + 10 - 60 - 50 - 30

= 200 - ( None of B ∩ MP ∩ MC) = 275 - 140

= 200 - ( None of B ∩ MP ∩ MC) = 135

( None of B ∩ MP ∩ MC) = 200 - 135

( None of B ∩ MP ∩ MC) = 65

Therefore, 65 candidates had none of the three

What is 14jk/21j simplified in algebraic expressions? (PLS ANSWER QUICK)

Answers

Answer:

[tex] \boxed{ \bold{ \frac{2k}{3} }}[/tex]

Step-by-step explanation:

[tex] \sf{\frac{14jk}{21j} }[/tex]

Reduce the fraction with j

Similarly, Reduce the fraction with 7

⇒[tex] \sf{ \frac{2k}{3} }[/tex]

Hope I helped!

Best regards!!

The projected worth (in millions of dollars) of a large company is modeled by the equation w=
256(1.09)t The variable t represents the number of years since 2000. What is the projected annual
percent of growth, and what should the company be worth in 2008?

Answers

Answer:

510.10

Step-by-step explanation:

Notice the common ratio 0.09, which is also the projected annual growth rate.

In 2008, 8 years after 2000, the company's net worth should be

w(8) = 256(1.09)^8 = 510.10

Answer:

i think it's 510.10

Step-by-step explanation:

You see the common ratio 0.09, which is also the projected annual growth rate.

In 2008, 8 years after 2000, the company's net worth should be

w(8) = 256(1.09)^8 = 510.10

Step-by-step explanation:

hope this helps!

What is 1/3 times 1/3 times 1/3

Answers

Answer:

1/27

Step-by-step explanation:

since the numerator is only one, just go ahead and write one on the numerator spot. Then you multiply the bottom 3^3 is 27, therefore you get 1/27th

Answer:

1/3 cubed is 1/27

Step-by-step explanation:

1/3*1/3*1/3 is equal to 1/27

Add the polynomials (Write answers in descending order)

Answers

I did one for you just to give u an idea on how to it. Hope it helps!

2x+15=x/2-3

Can someone solve for x and show the answer step by step?

Answers

Answer:

[tex]2x + 15 = \frac{x}{2} - 3[/tex]

Move the variable

[tex]4x + 30 = x - 6[/tex]

[tex]4x - x + 30 = - 6[/tex]

Collect like terms

[tex]4x - x = - 6 - 30[/tex]

[tex]3x = - 6 - 30[/tex]

[tex]3x = - 36[/tex]

Divide both sides by three

[tex]x = - 12[/tex]

Mary has $50.00. She goes to the mall and buys lipstick and then she buys shampoo, which is
half the price of the lipstick. She then spends half of what she has left on a purse, leaving her
with $15.00. How much did the shampoo cost? How much did the lipstick cost?

Answers

Answer:

Hey there!

Let x be the price of lipstick

Let 1/2x be the price of shampoo

1.5x=20

x=13.33

1/2x=6.67

The shampoo costed $6.67, and the lipstick costed $13.33

Let me know if this helps , or if you have any more questions :)

Answer:

Thank shampoo costed $7.50 and the lipstick costed $15

Step-by-step explanation:

So if you subtract 15 by 50  you get 35 dollars. Then if you divide 35 by 2 you get 15.5 but the .5 is no important right now. So that's how you get 15 dollars for the lipstick and the shampoo was $7.50. The purse was $12.50.

Consider the strategic games described below. In each case, state how you would classify the game according to the six dimensions outlined in the text.
(i) Are moves sequential or simultaneous?
(ii) Is the game zero sum or not?
(iii) Is the game repeated?
(iv) Is there imperfect information, and if so, is there incomplete (asymmetric) information?
(v) Are the rules fixed or not?
(vi) Are cooperative agreements possible or not? If you do not have enough information to classify a game in a particular dimension, explain why not.
a.) Garry and Ross are sales representatives for the same company, Their manager informs them that of the two of them, whoever sells more this year wins a Cadillac.
b.) On the game show The Price is Right, four contestants are asked to guess the price of a television set. Play starts with the leftmost player, and each player's guess must be different from the guess of the previous players. The person who comes closest to the real price, without going over it, wins the television set.
c.) Six thousand players each pasy $10,000 to enter the World Series of Poker. Each starts the tournament with $10,000 in chips, and they play No-Limit Texas Hold'Em ( a type of poker) until someone wins all the chips. The top 600 players each receive prize money according to the order of finish, with the winner receiving more than 8,000,000.
d.) Passengers on Dessert Airlines are not assigned seats: passengers choose seats once they board. The airline assign the order of boarding according to the time the passenger checks in, either on the Web site up to 24 hours before takeoff or in person at the airport.

Answers

Answer:

game show The Price is Right, four contestants are asked to guess the price of a television set. Play starts with the leftmost player, and each player's guess must be different from the guess of the previous players. The person who comes closest to the real price, without going over it, wins the television set.

c.) Six thousand players each pasy $10,000 to enter

-6·f(-3)-5·g(-7)= please help

Answers

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[tex]-6*f(-3)-5*g(-7)[/tex]

Steps : 3

Apply rule : [tex]- (-a) = a[/tex]

[tex]= 6f * 3 + 5g * 7[/tex]

Multiply the numbers : [tex]6 * 3 = 18[/tex]

[tex]= 18f + 5 * 7g[/tex]

Multiply the numbers : [tex]5 * 7 = 35[/tex]

[tex]= 18f + 35g[/tex]

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Have a great day/night!

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Which is the recursive formula for the explicitly defined sequence?
an = 8n-3

Answers

Answer :   [tex]a_{n+1}=a_n+8[/tex]

Step-by-step explanation:

The given explicit formula : [tex]a_n=8n-3[/tex] , where n is a natural number.

At n=1 , [tex]a_1=8-3=5[/tex]

At n=2, [tex]a_2=8(2)-3=16-3=13[/tex]

At n=3 , [tex]a_3=8(3)-3=24-3=21[/tex]

We can see the common difference is 8.

So we can write [tex]a_{n+1}=a_n+8[/tex]

Hence, the recursive formula for the explicitly defined sequence is  [tex]a_{n+1}=a_n+8[/tex]

Mr. Warren Buffett invested $20 000. Part of it he put in the bank at 5% interest. Part of it he invested in
bonds which pay a 7% return. How much money did he put in each vehicle, if his annual income from these
investments was $1200?

Answers

Answer:

Vehicle one he put $10000

Vehicle two he put $1000

Step-by-step explanation:

Interest= PRT/100

Interested= x

P1 +P2= $20000

X1+x2= $1200

R1= 5%

R2= 7%

(P1*5*1)/100= X1

5p1=100 X1.....

P1= 20X1...

(P2*7*1)/100= X2

7p2= 100X2

P2= 100/7 X2

P1 +P2= $20000

20X1 + 100/7 X2= 20000

7X1 +5x2= 7000...equation one

X1+x2= 1200 ....equation two

Multiplying equation two with 7

7X1 +7X2= 8400

7X1 +5x2= 7000

Solving simultaneously

2X2=1400

X2= 700

P2= 100/7 X2

P2= 100/7 (700)

P2= 10000

But X1+x2= $1200

X1= 1200-700

X1= 500

P1= 20X1

P1= 20(500)

P1= 10000

Vehicle one he put $10000

Vehicle two he put $1000

A car is traveling at a rate of 84 miles per hour. What is the car’s rate in miles per minute? How many miles will the car travel in 2 minutes? Do not round answer.

Answers

Answer:

2.4

Step-by-step explanation:

60 min in a hour

84/60= 1.4

1.4 x 2 = 2.4

Please help! Attachment below

Answers

Answer:

that means the system has no solutions

Triangle ABC has vertices A (1,3), B (-2,-1), and C (3,-2). Triangle ABC has been translated
right 4 and down 2. This translation can be written in coordinate notation as

Answers

Answer:

A(5,1) B(-6,2) C(7-4)

Step-by-step explanation:

ron’s aunt treated ron and his friends to ice cream. she spent $17 on ice cream. both the chocolate cones and vanilla cones were the same price. two ordered chocolate, three ordered vanilla. write and solve an equation to find out how much each cone cost (pls help lol)

Answers

Answer:

2x + 3x = 17.

$3.40.

Step-by-step explanation:

All the cones cost the same. That means that one ice cream cone will cost x dollars.

She spent $17, with 2 chocolate and 3 vanilla.

2x + 3x = 17

5x = 17

x = 17/5 = 3.4

So, each cone costs $3.40.

Hope this helps!

You have $1,900 in savings for retirement. If your investments earn 8% annually, how much will you have in your retirement account in 6 years?

Answers

Answer:

$3,015

Step-by-step explanation:

To determine the amount that you will have in 6 years, you have to use the formula to calculate the future value:

FV=PV*(1+i)^n

FV= future value

PV= present value= $1,900

i= interest rate= 8%

n= number of periods of time= 6 years

FV=1,900*(1+0.08)^6

FV=1,900*(1.08)^6

FV=3,015

According to this, the answer is that in 6 years you will have $3,015 in your retirement account.

Question 4 will mark the brainliest:)

Answers

Answer:

B. Since there is an extreme value (5) and no big gaps in the middle of the data, the median best represents the data.

Step-by-step explanation:

Let's evaluate each answer choice.

For reference, the data set is 90, 79, 5, 84, 95, 81 , 87, 94

From least to greatest: 5, 79, 81, 84, 87, 90, 94, 95

A. Since the data has many repeated values, the mode best represents the data.

⇒ The data set has no repeated values. Therefore, this answer choice cannot be correct.

B. Since there is an extreme value (5) and no big gaps in the middle of the data, the median best represents the data.

⇒ This choice is correct. 5 is an extreme value. If we were to arrange the data from the least to greatest, the middle numbers would all be around 80 to 90 ( no big gaps).

C. Since there are no extreme values, the mean best represents the data.

⇒This data set does have an extreme value. There is a 5 in the mix of 80s and 90s. So, this answer is not correct.

D. Since there are no extreme values and few repeated numbers, the median best represents the data.

⇒ As previously mentioned, there is an extreme value of 5. We can eliminate this choice.

Therefore, the best answer choice is B. Since there is an extreme value (5) and no big gaps in the middle of the data, the median best represents the data.

Pleaseee help!!!!!!!!!!!!!will mark the brainliest!

Answers

Answer:

D) 1/16

Step-by-step explanation:

1/6*3/8=3/48

reduced, it’s 1/16

Answer:

1/16

Step-by-step explanation:

A cube is tossed.

The possible outcomes: {1, 2, 3, 4, 5, 6} => 6 possible outcomes in total.

The event of occurring a number 3: {3} => 1 possible outcomes.

=> P(3) = number of possible outcome of event/ total possible outcomes = 1/6

A spinner is spun.

The possible outcomes: {A, A, A, A, B, C, C, C} => 8 possible outcomes in total.

The event of occurring letter C: {C, C, C} => 3 possible outcomes.

=> P(C) = number of possible outcome of event/ total possible outcomes = 3/8

The event of occurring 3 and the event of occurring C are two independent events because tossing a cube does not affect spinning a spinner. Then, we have:

P(3 and C) = P(3) x P(C) = (1/6) x (3/8) = 3/48 = 1/16

A mermaid is swimming at sea level when a human comes by. She dives underwater at a rate of 3 meters per second. She continues to descend for 21 seconds. What integer represents her position?

Answers

Answer:

63 metres

Step-by-step explanation:

Distance covered in 1 second = 3 m

Time taken =21 sec

Her position = 3 x 21 m = 63 metres

Answer:

63 meters

Step-by-step explanation:

Distance covered in 1 second = 3 m

Time taken =21 sec

Her position = 3 x 21 m = 63 meters i hop it help u

Use the perimeter formula P = 2 l + 2 w to find the perimeter, P , of a rectangular lot if the width, w , is 70 feet and the length, l , is 105 feet.

Answers

Answer:

P = 350 feet

Step-by-step explanation:

P = 2L + 2W

W = 70 feet

L = 105 feet

plug in values:

P = 2(105) + 2(70)

P = 210 + 140

P = 350 feet

plz say answer for this grade 7​

Answers

The full circle = 360 degrees

so x = all the full circle minus the other 3 angles

Now we sum the three angles we know [100, 46, 64]:

100 + 46 +64 = 210 degrees

Now we calculate x

x = 360 - 210 = 150 degrees

Please help me
What is the area of this figure?

Answers

Answer: 74 ft^2.

Step-by-step explanation: First, you can seperate the figure into an 8x9 rectangle and a 1x2 rectangle. 8*9 = 72 and 1*2 = 2 and then you add them to get 74. The unit is ft, but we're multiplying, so it becomes ft^2. Thus, the answer is 74 ft^2.

Answer:

Total Area = 50 ft²

Step-by-step explanation:

Total Area = (8 * 6) + (2 * 1)

Total Area = 48 + 2

Total Area = 50 ft²

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