Using inductive reasoning, determine the next two terms in each sequence. -3, 5, -7, 9, , A, C, F, J, , Blank 1: Blank 2: Blank 3: Blank 4:

Answers

Answer 1

Answer:

A = -11

C = 13

F = -15

J = 17

Step-by-step explanation:

Inductive reasoning is the use of observations to draw a conclusion.

The sequence of numbers in this problem is:

-3, 5, -7, 9, ...

A pattern is observed and that pattern is:

(n + 1) th term = |nth term| + 2 (with alternating negative signs)

for instance if (n+1)th term = 2nd term; nth term = 1st term

2nd term = |1st term| + 2

2nd term = |-3| + 2 = 5 (no negative sign since previous term had negative)

-3rd term = |5| + 2 = -7 (negative sign because the previous term was positive)

4th term = |-7| + 2 = 9 (no negative sign since previous term had negative)

-5th term (A)= |9| + 2 = - 11 (negative sign because the previous term was positive)

6th term (C) = |-11| + 2 = 13 (no negative sign since previous term had negative)

if you use the same sequence for F and J, you will get:

F = -15

J = 17

you should try them out to see if you will get the same solution.


Related Questions

During a onemonth period, a car company's stock price went from $99.24 to $45.19 per share.
The change in the price of the stock is
dollars.

Answers

$99.24
- 45.19
————-
$ 54.05

The change in price stock is $54.05.

How to calculate change in any quantity?

First: work out the difference (increase or decrease) between the two numbers you are comparing.

Increase or decrease = New Number - Original Number.

initial price= $99.24

final price= $45.19

So, Change in stock = final price- initial price

                                  =$45.19  - $99.24

                                  =-$54.05

Hence, the price decrease in $54.05.

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I’m stuck and I don’t know what to do someone help please

Answers

For the second question, you’re finding the volume of a cylinder. The formula is V = (pi)(r^2)(h) so we will plug in what we know. Half of a diameter is the radius so 6/2 = 3. It says radius squared so 3^ 2 = 9. We can also see the height is 9 cm so plug that in. For all of these formulas, we must use 3.14 for pi so plug that in also.
V = (3.14)(9)(9)
V = 254. 34 cm cubed

I don’t have time to help with the other questions but I hope this helps you know how to use the cylinder volume formula

Answer:

Step-by-step explanation:

1.

[tex]diameter = 6\:cm\\Radius = \:d/2\: =\: 6/2 = 3\:cm\\Height = 9\:cm\\\\Volume \:of\:a\:cone : \frac{1}{3} \pi r^2 h\\\\V = \frac{1}{3}\times 3.14 \times 3^2 \: \times 9\\\\V = \frac{1}{3} \times 3.14 \times 9 \times 9\\\\V = \frac{254.34}{3} \\\\Volume = 84.78cm^3[/tex]

2.

[tex]diameter =\: 6\:cm\\Radius= d/2 = 6/2 = 3\:cm\\Height = 9\:cm\\Volume = ?\\\\Volume \:of\:a \:cylinder = \pi r^2 h\\\\V = 3.14 \times 3^2 \times 9 \\\\V = 3.14 \times 9\times 9\\\\Volume = 254.34\:cm^3[/tex]

3.

The volume of a cone is   (one third) of the volume of a cylinder which has the same height as the cone and the same base radius as the cone.

So, you need 3 (three) volumes of cone to fill the cylinder.

figure out for brainliest

Answers

Answer:

hope you understand the answer please mark brainlist

1 point
9.) The Franklin Wildcats football team was competing in the regional
championship game. The offense had the ball at the 50-yard line as they
tried to score to win the game. Their progress during each play was as
follows: gain 7, gain 2, lose 1, gain 4, lose 5, gain 27, gain 4, gain 5, gain 0,
gain 3, lose 2, lose 1, gain 1, gain 2. On what yard line did the Wildcats end? *

Answers

Answer:

96 yards

Step-by-step explanation:

This is basically just a huge addition problem that we can tackle (heh) in our heads.

If we gain yards, then we add.

If we lose yards, then we subtract.

If we started out at 50, the expression is

[tex]50 + 7 + 2 - 1 + 4 - 5 + 27 + 4 + 5 + 0 + 3 - 2 - 1 + 1 + 2[/tex].

We can use the associative property of addition to simplify this. I'm just grouping together things that look easy to do in my head.

[tex]50 + (7 + 2) - 1 + 4 - 5 + (27 + 4) + (5 + 0 + 3) (- 2 - 1) + (1 + 2)\\\\50 + 9 - 1 + 4 - 5 + (31 + 8) (-3 + 3)\\\\(50 + 9) - 1 + 4 - 5 + 39 \\\\59 - 1 + 4 - 5 + 39 \\\\58+4 + (-5+39)\\\\62+34\\\\96[/tex]

Hope this helped!

why isn’t -3 a whole number? please answer asap

Answers

Answer:

-3 is not a whole number because the whole number is like a zero , no fraction or demical part and no negative

Hope this helps :)

Step-by-step explanation:

-3 has negative sign so it's not a whole number

Answer:

-3 is not a whole number.

Whole number:

Starts from zero.Doesn't include negative integers.{0,1,2,3,4,5,6.....}

-3 is an integer, a negative integer.

Integer:

Subset of:Negative integersZeroNatural number, Whole number(positive integers as a whole)

Hope this helps ;) ❤❤❤

I BEG OF YOU! PLEASE HELP ME!!! *will mark as brainliest* The equation below shows the relationship between the temperature in degrees Celsius, C, and degrees Fahrenheit, F: F = 9 over 5 C + 32 Which of the following formulas correctly solves for C? C = 5F − 32 over 9 C = 5 F over 9 − 32 C = 9 over 5 (F − 32) C = 5 over 9 (F − 32)

Answers

the last one i think

Three times the sum of a number and four and five

Answers

Answer:

3x+27

Step-by-step explanation:

3(x+4+5)=

3x+12+15=

3x+27

Find the value of x in this equation.
1/6 (6x-5) - x = 1/3 - 2(x + 1)​

Answers

Answer: x = -5/12

Explanation:

1/6(6x-5) - x = 1/3 - 2(x + 1)
(6x - 5)/6 - 6x/6 = 2/6 - 6(2x + 2)/6
6x - 5 - 6x = 2 - 12x - 12
-5 = -12x - 10
12x = -5
x = -5/12

Therefore, x = -5/12

what is the correct answer​

Answers

Answer:

x<3, infinity<y<infinity

Step-by-step explanation:

The parabola is opening towards the left and its vertex is on (3,0) hence x has to be less than 0 for the function to be true

Help me with this Question Explanation will be appreciated

Answers

First thing you need to realise is that x/y multiplied by something is the same as x multiplied by that something, ALL divided by y

from here we can think of this as 3(2x-1) all over 5 = 1(5x-3) all over 4,

now we can start by expanding the left side, so it will equal 6x-3 all over 5 = 5x-3 all over 4

Now multiplying both sides by 5 to get rid of the divided by 5 on the left hand....
6x-3 = 25x-15 all over 4

We then multiply both sides by 4 to eliminate the divided by 4 on the right hand side....
We get 24x-12=25x-15

Now subtract 25x from both sides....
-1x = -3

Therefore diving both sides by -1 we get x=3

Which of the following relations could be a function? Select all that apply. A {(1,1), (1,2), (1,3)} B {(1,5), (3,6), (5,9)} C {(8,3), (6,-1), (2,0)} D {(5,2), (3,6), (5,8)} E {(-1,5), (9,4), (2,-3)}

Answers

Answer:

sorry

Step-by-step explanation:

the perimeter P of a square is four times the length of one side s, which can be expressed as P = 4s. is (13,51) a solution of this equation? if not, find a solution that uses one or the other of the given values

Answers

Answer:

13,52

Step-by-step explanation:

S=13   4s=13x4=52

Joe's boat rental rents paddle boats for $8.00 and the paddles rent for $5.00 for the day. If David has $45, what is the least amount of hours he could rent the paddle boat

Answers

Answer:

Minimum hour = 177 hour

Step-by-step explanation:

Given:

Paddle boats rent = $8

Paddles rent = $5 Per 24 hours

Total amount = $45

Find:

Number of hour David rent paddle boat

Computation:

8 + (5/24)n = 45

(5/24)n = 37

n = 177.6 hour

Minimum hour = 177 hour

Why is a rational number?




Answers

Answer:

A rational number is a number that can be express as the ratio of two integers.

Step-by-step explanation:

Answer:

a fraction,decimal,negative,positive

Step-by-step explanation:

Sally hopes to purchase a 2-boat trailer for around $ 21,000. Describe all the numbers that when rounded to the nearest thousand are 21,000.

Answers

Answer:

20,500 or greater. 21499 or less.

Step-by-step explanation:

All the numbers that rounds to 21000 when rounded to nearest thousand are from 20501 to 21499.

What are rounded numbers ?

We round numbers to make it easier to remember and rounding numbers to a certain place retains it's value to that place.

According to the given question Sally hopes to purchase a 2-boat trailer for around 21000 dollars.

We have to describe all the numbers which become 21000 when rounded to nearest thousand we have to observe the digit at thousands place here it is less than 5 so we'll subtract 1 to that digit and make all the digits after that zero which becomes 20000.

learn more about rounding of numbers here :

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Pls help me answer all of these but fast because it’s due in a few minutes or else it’s an f!! Pls help I have so stress and I just need help!

Answers

Answer:

ikrrrrr sammeeeeeeeeeee

What is the length of cd?

Answers

Answer:

a length of a cd is 6 inches

Step-by-step explanation:

Answer:

[tex]BC=\sqrt{5}[/tex]

Step-by-step explanation:

so we have B=(5,1) and C=(7,2)

we can use the distance formula

[tex]P(xy)=\sqrt{(x_1-x_2)^{2}+(y_1-y_2)^2 } \\\\P(BC)=\sqrt{(5-7)^{2}+(1-2)^2 } \\\\P(BC)=\sqrt{(-2)^{2}+(-1)^2 }\\\\P(BC)=\sqrt{4+1}\\\\P(BC)=\sqrt{5}[/tex]

6 ten thousands 4 hundreds × 10

Answers

Answer:

604,000

Step-by-step explanation:

60,400 x 10

add one zero onto the end and replace the comma.

604,000

how to do this question plz answer me step by step plzz ​

Answers

Answer:

No

Step-by-step explanation:

Diameter= 180cm

Circumference of each table

= πD

= 180π cm

Each table can fit

= 180π ÷70

= 8 guests (nearest whole number)

Since there are 18 tables, total number of guests

= 8(18)

= 144 guests

Since there are only enough tables to sit 144 guests, there are not enough tables to fit 145 guests.

Note that we cannot take the sum of the circumference for 18 tables than divide by 70 to see how many guests can fit because a guest can only be sitted on one table.

If that was done,

Total circumference

= 180π(18)

= 10179 cm (5 s.f.)

Total number of people

= 10179 ÷70

= 145 people (3 s.f.)

This is incorrect.

Which of the following is an irrational number?
1. 1,483,292. 2. 14/17. 3. 0.100100010000... 4. 0

Answers

Answer:

The correct option is;

0.100100010000...

Step-by-step explanation:

An irrational number in mathematics are the subset of real numbers that are not rational numbers such as √2, π, e. As such it is not possible to express an irrational number as a ratio of two integers, or expressed in the form of a simple fraction.

The decimal portion of the expression of an irrational number are non periodic and they do not terminate. Transcendental, which are non algebraic, numbers are all irrational numbers

In the question, the number 0.100100010000... has non terminating non recurring decimals and is therefore an irrational number.

A teacher was making identical activity packets using 92 crayons and 23 sheets of paper. What is the greatest number of packets the teacher can make with no items left over?

Answers

Answer:

the teacher can make 23 packets with 4 crayons in each packet

Step-by-step explanation:

the teacher can make 23 packets with 4 crayons in each packet wit no left over.

13. If B is the midpoint of AC, and AC = 8x - 20,
find BC.
3x – 1
А A
B
C

Answers

3x-1+BC=8x-20 SOLVE.

(0,5)
(-7,0)
(0,0)
What is the perimeter of the triangle?

Answers

Answer:

primeter = 20.6

Step-by-step explanation:

d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}

8.60 + 7 + 5 = 20.6

Brandie lives on the twelfth floor of her apartment building. She walks down 2 flights to visit a friend, then up 3 flights to deliver a message to a neighbor. Which integer best represents the number of flights Brandie must walk to get back to her starting point? –12 –1 5 7

Answers

Answer:

-1

Step-by-step explanation:

She walked down 2 flights, then up 3 flights. This would cause her to be 1 floor above her floor. So, she would have to walk down 1 flight (hence the negative in the -1) and she would be on her floor.

Answer:

-1

Step-by-step explanation:

NEED HELP!!! I DON"T UNDERSTAND HOW TO FILL THIS IN. WILL MARK BRAINLIEST FOR THE BEST ANSWER!!!

Properties of Rhombuses, Rectangles, and Squares

Complete the following chart by putting an “X” in the boxes that are TRUE, put a "0" in the boxes that are FALSE.

Answers

I think the answer is:
Rectangle: X X O X X
Rhombus: X X X X O
Square: X X X X X
I hope you got a good grade!!!

PLS HELP ME ASAP
Which number is missing from the following prime factorization expression?
175 = 5 x 5 x __
A) 2
B) 3
C) 5
D) 7

Answers

Answer:

7

Step-by-step explanation:

5 x 5 x 7

= 175

hope it helps u

Answer:  D) 7

Step-by-step explanation: You would have to go through all of them so... 5x5 is 25 right 25x2=50 so it is not A. 25x3= 75 so it's not B. either. 25x5= 125 so it is not  C. either.  25x7= 175 SO D. IS YOUR ANSWER!

Help me in this problem.

Answers

Well it’s not the first one or the last one

Approximately 220 million tires are discarded in the U.S. each year. These tires present a disposal problem because they take up space, harbor pests, and have been known to catch fire. One tire can generate about 250,000 BTUs (1 BTU = 3 x 10-4 kWh) when it is burned. The average American home consumes about 10,000 kWh of electricity per year. How many tires would be needed to meet the annual electricity demand of ten homes for one year if the production of electricity from tires is 50% efficient?

Answers

Answer:

2667 tires

Step-by-step explanation:

One tire can generate:

250000 BTU's = 250000*3*10⁻⁴ kWh = 75 kWh electricity

Considering efficiency of 50%, one tire can produce:

75/2 = 37.5 kWh

10 homes require electricity, amount of:

10000*10 = 100000 kWh per year

How many tires can cover this demand?

100000/37.5 ≈ 2667 tires

Need help on this stastic and prob

Answers

Answer:

it is correct they weigh the same

Step-by-step explanation:

6x - 8x + 5 = -2(x + 2) + 7

Answers

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Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

~ Question : [tex]6x-8x+5=-2(x+2)+7[/tex]

________________

[tex](Simplify.both.sides.of.the.equation.)\\6x-8x+5=-2(x+2)+7\\6x + -8x + 5 = (-2)^{(x)} + (-2) (2) + 7 ( Distribute)\\6x + - 8x + 5= -2x + -4 + 7\\(6x + -8x) (5) = (-2x) + ( -4x + 7) (Combine.Like.Terms)\\-2x + 5 = -2x + 3\\( Add.2x.to.both.sides.)\\-2x + 5 + 2x = -2x + 3 + 2x\\5 = 3\\(Subtract.5.from.both.sides.)\\5 - 5 = 3 - 5\\0 = -2[/tex]

Answer : There are no solutions.

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Have a great day/night!

❀*May*❀

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